signature stringlengths 16 32 | problem_type stringclasses 12
values | optimization_type stringclasses 3
values | graph stringlengths 52 2.28k | solution stringlengths 235 4.05k | cost_hamiltonian stringlengths 11 5.66k | ansatz_id int64 1 18 | number_of_qubits int64 1 16 | number_of_layers int64 1 4 | exact_solution stringlengths 155 2.61k | circuit_with_params stringlengths 126 44.7k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k | qiskit_pauli_strings listlengths 1 177 | qiskit_coefficients listlengths 1 177 | improvement_ratio float64 0 1 | optimized_params listlengths 2 278 | optimization_info dict | total_iterations int64 1 500 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [249, 255], "expectation_value": -7.8751195237897305, "params": null, "bitstrings": ["100000110", "100000000"], "total_optimization_steps": 100, "probabilities": [0.09883381340574654, 0.5906337854985387], "optimization_time": 207.75863933563232} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000000", "100000110"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07074011565942544) q[0];
ry(-0.034241740674030983) q[1];
ry(-0.02310418963090609) q[2];
ry(0.005094891914534702) q[3];
ry(-0.09267291565237382) q[4];
ry(-0.017933789297370564) q[5];
ry(-0.017844733894503077) q[6];
ry(-1.4761617350858658) q[7];
ry(-0.196414718262419... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"... | [
-0.5,
-1.25,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.5,
-1.25,
-0.25,
0.25,
0.5,
0,
-1,
1,
-0.5,
1.25
] | 0.970829 | [
0.07074011565942544,
-0.034241740674030983,
-0.02310418963090609,
0.005094891914534702,
-0.09267291565237382,
-0.017933789297370564,
-0.017844733894503077,
-1.4761617350858658,
-0.19641471826241974,
-0.01619831545614741,
-0.027941870608550645,
0.021450166630002546,
0.010960213137639908,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 52 |
1b85dbadf49d5e00f9e47be861e776c4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -2.4223031962057213, "params": [[-0.007200000000000001, 0.1297, 0.1645], [0.1431, -0.08990000000000001, -0.1424]], "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 20, "probabilities": [0.022705424014745224, 0.022705424014745235], "optimization_time": 10.184030... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13453324330091465) q[0];
rz(1.0753513770848593) q[0];
rx(2.975746346254277) q[1];
rz(-0.6781668590082865) q[1];
rx(-0.2367256632155181) q[2];
rz(-0.22310665326415446) q[2];
rx(2.89712186884282) q[3];
rz(-0.1081053917582111) q[3];
rx(0.3607917338098562) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-0.5,
-1.5,
-1.5,
0
] | 0.974192 | [
-0.13453324330091465,
1.0753513770848593,
2.975746346254277,
-0.6781668590082865,
-0.2367256632155181,
-0.22310665326415446,
2.89712186884282,
-0.1081053917582111,
0.3607917338098562,
3.4678529874554633,
1.0387317108088614,
-0.09274751190222191,
-0.35032557567080463
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
1165a939f408e1a342fff219e2bcebde | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [8150, 7126], "expectation_value": -2.5122491167826464, "params": [[[1.1006, -0.0017000000000000001], [1.1046, 0.002], [0.6980000000000001, -0.19140000000000001], [1.0938, 0.0016], [1.1066, -0.0024000000000000002], [1.0958, 0.0019], [1.1087, -0.0011], [0.3375, -0.38670000000000004], [1.0963, 0.0027], [0.002,... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 13 | 2 | {"smallest_eigenvalues": [-5.125, -5.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.125, "smallest_bitstrings": ["0010000101001", "0001000101010"], "largest_eigenvalue": 6.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rz(1.5544712937149203) q[0];
ry(3.0110884573279804) q[0];
rz(-1.9061264914867186) q[0];
rz(0.5936598659983563) q[1];
ry(3.076063643574888) q[1];
rz(-2.12081513145866) q[1];
rz(1.9250310081062416) q[2];
ry(0.14308720400874977) q[2];
rz(-2.361023287215737) q[2];
rz(-2.81... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIZIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIZIIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIZIZIZ",
"IIIIIIIIZZIIZ",
"IIIIIIIIIZZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.978216 | [
1.6289072743584856,
-0.0021626989324673024,
1.3251876855994702,
-0.0555093236994941,
0.15927564360172933,
-1.1039608094660243,
2.2129889834629504,
0.18385417390409287,
1.6053670679173553,
0.2786755057457845,
1.5065427375069198,
0.06368762641504716,
1.8256212728263241,
-0.11942104368585225,... | {
"n_parameters": 45,
"n_qubits": 13,
"optimal_eigenvalue": -5.125,
"target_ratio": 0.97,
"target_value": -4.9712499999999995
} | 46 |
d7d7a914f5c5b10bb66230237db17fae | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [509, 508], "expectation_value": -0.8945998246129048, "params": [[-0.0742], [0.06770000000000001]], "bitstrings": ["000000010", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003078478539380082, 0.0030826436097484157], "optimization_time": 2.2424373626708984} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -1... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7258110845197203) q[0];
h q[1];
h q[2];
ry(0.844786465725395) q[2];
cx q[1], q[2];
ry(-0.844786465725395) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.7258110845197203) q[0];
cx q[2], q[0];
ry(-0.30174669820616645) q[1];
cx q[0], q[1];
ry(0.30174669820616645) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.970337 | [
0.07026661333681955,
-1.0237291300009381,
1.4516221690394406,
-0.2823579451959497,
3.080456406478833,
-1.537271361896147,
0.030341946098542773,
-0.009266811655052457,
1.68957293145079,
-0.6034933964123329,
0.7858991742819588,
-1.571144564279388,
-0.0778103355504738,
0.03025338001006666,
... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 497 |
16efd0d1722058bdcecd0a47f621047a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "target": 2}, {"weight": 1... | {"states": [106, 122], "expectation_value": -36.307996635901624, "params": null, "bitstrings": ["10010101", "10000101"], "total_optimization_steps": 100, "probabilities": [0.11792938375629661, 0.18104407076086781], "optimization_time": 144.67294001579285} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2320663891682014) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2320663891682014) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.2320663891682014) q[3];
cx q[0], q[3];
rz(-0.8149595538532273) q[0];
rx(-1.000242445136427) q[0];
cx... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
15.5,
10.5,
15,
14,
15,
4,
14,
10
] | 0.769935 | [
0.2320663891682014,
-0.8149595538532274,
0.0868387816876093,
-1.000242445136427,
1.281262008060064,
-1.253765500090689,
-0.48859011360813015,
0.47033374606546463,
-2.483859814368198,
-0.4210188815319589
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 289 |
c2160dfdbad38c3b1811a7e58cf0a6d6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [746, 618], "expectation_value": -81.1027787751553, "params": [[[0.38570000000000004, -0.0023], [0.11320000000000001, -0.0033], [0.3875, 0.0613], [0.448, 0.21300000000000002], [0.7801, 0.3023], [0.050100000000000006, 0.2265], [0.748, 0.34540000000000004], [-0.0504, 0.5305], [0.798, 0.7747], [0.5712, 0.257300... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(8)) + 2.5 * Z(0) + 2.5 * Z(1) + 12.5 * Z(3) + 12.0 * Z(2) + 13.5 * Z(4) + -6.0 * Z(5) + 0.5 * Z(7) + 7.5 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["0110010101"], "largest_eigenvalue": 119.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-3.130716192232409) q[0];
rz(0.060371689542558116) q[0];
rx(0.27590925013228373) q[1];
rz(-0.09699135489064448) q[1];
rx(0.5699060022845327) q[2];
rz(0.02271130267401729) q[2];
rx(3.07749825907522) q[3];
rz(0.1023714383479806) q[3];
rx(3.075913064883255) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIZIIZIIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
2.5,
2.5,
12.5,
12,
13.5,
-6,
0.5,
7.5,
8,
-3.5
] | 0.976123 | [
3.1524691149471775,
0.040247793028372336,
0.27590925013228373,
-0.09699135489064448,
0.5699060022845327,
0.02271130267401729,
3.07749825907522,
0.1023714383479806,
3.075913064883255,
-0.08967512789015386,
-0.031041507064099527,
-0.11541750986695734,
3.0550101683578905,
-0.05777881263732405... | {
"n_parameters": 27,
"n_qubits": 10,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 8 |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -0.617558959053949, "params": [[0.0687, 0.0608], [-0.0587, -0.056900000000000006]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.012899398915038052, 0.013073476930989534], "optimization_time": 4.41314959526062} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.15656815186826128) q[0];
rz(0.15627741730544642) q[0];
rx(0.07155707979271855) q[1];
rz(0.41889354116436905) q[1];
rx(-0.036854522120223276) q[2];
rz(0.3006228164158884) q[2];
rx(-0.08168454662241761) q[3];
rz(1.026473851281004) q[3];
rx(0.8163706473005876) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IZIIIZI",
"IIIZZII",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.25,
1.25,
-0.5,
0.5,
-0.25,
-1.25,
-0.5,
0,
1,
0.5
] | 0.973909 | [
0.15656815186826128,
0.5442420018401137,
0.07155707979271855,
0.902550613450768,
-0.036854522120223276,
0.7986190445176811,
-0.08168454662241761,
0.9231305560999041,
0.8163706473005876,
0.16616318461372137,
0.13465721119367224,
0.8447385901987526,
1.1276480729653369,
-0.17486223285907548,
... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 4 |
6677523700018337187 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 3, 4], [1, 4, 7], [5, 7], [0, 2, 5], [2, 4], [6, 7], [0, 6], [3, 4, 5], [1, 2], [3, 7], [4, 6]]} | {"states": [205, 201], "expectation_value": -0.11483349121649611, "params": [0.7014, -0.0011, 0.6977, 0.0043, 0.7102, -0.0013000000000000002, 0.7087, 0.006900000000000001, 0.6965, 0.0053, 0.6947, 0.007200000000000001, 0.7008, -0.0037, 0.6975, 0.0097, 0.7081000000000001, -0.0012000000000000001, 0.7051000000000001, 0.004... | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.166666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["00110110"], "largest_eigenvalue": 7.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-0.678926094380287) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.09163700568221096) q[0];
cx q[5], q[0];
cx q[5], q[3];
rz(0.09163700568221096) q[3];
cx q[5], q[3];
cx q[0], q[3];
rz(0.09163700568221096) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIZIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"IIZIIZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IZIIIIIZ",
"IZIZIIII",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZII... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.333333... | 0.470819 | [
-0.678926094380287,
0.09163700568221096,
-0.5175299126076072,
0.42938884389755977,
0.8440022674698512
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -4.333333333333334,
"target_ratio": 0.97,
"target_value": -4.203333333333334
} | 137 |
7e10b313c0e966d78a431e218b1e1e89 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -32.02583575447388, "params": [[0.0286, -0.0018000000000000002, 0.0035, -0.014100000000000001], [-0.0811, -0.0555, -0.058100000000000006, -0.032600000000000004]], "bitstrings": ["100010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.008757237150717741,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9628339992251395) q[0];
rz(0.24643778475032496) q[0];
rx(0.031934521230925945) q[1];
rz(0.6957418773789037) q[1];
rx(0.746952282078199) q[2];
rz(0.19202549982061745) q[2];
rx(-0.03353672724594935) q[3];
rz(-0.30813565141290766) q[3];
rx(0.11895133461832372) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
17.5,
17,
2.5,
18.5,
13,
14,
-4
] | 0.971124 | [
0.9628339992251392,
0.321276928460635,
0.031934521230925945,
0.48039896751430633,
0.746952282078199,
0.0959376568954999,
-0.03353672724594936,
-0.35070992475926976,
0.11895133461832372,
-0.4306747619097894,
0.07759593497180284,
0.34292022266484173,
0.8259879532623664,
0.2553982184908408,
... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [56, 54], "expectation_value": -0.18288813654459546, "params": [[0.06910000000000001, 0.0697], [-0.0755, -0.0752]], "bitstrings": ["1000111", "1001001"], "total_optimization_steps": 10, "probabilities": [0.010041899298677725, 0.011059405998602362], "optimization_time": 4.706294775009155} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.062346765897915706) q[0];
rz(-0.07861393323966848) q[0];
rx(2.8930871888684693) q[1];
rz(-0.5035763423869778) q[1];
rx(3.065918378176062) q[2];
rz(-0.12390964307312333) q[2];
rx(0.1645274144132281) q[3];
rz(-0.4200180781615156) q[3];
rx(3.3932273417708734) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IIZZIZI",
"IZIZIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIZII",
"ZIZIZII",
"ZZIIZII",
"ZZZIIII",
"ZZZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
0,
0.125,
-0.25,
0.125,
-0.125,
-0.625
] | 0.981137 | [
0.06234676589791571,
0.05049997120834073,
2.8930871888684693,
-0.5035763423869778,
3.065918378176062,
-0.12390964307312333,
0.1645274144132281,
-0.4200180781615156,
3.3932273417708734,
0.5128971855755327,
0.717543276190233,
0.1258080823171311,
0.5432549077788699,
-0.25822780889601854,
0.... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
17639781641b88f9ffa836608d3b637d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [22, 86], "expectation_value": -3.2871439620827387, "params": [[[0.3462, -1.3314000000000001, 0.0016, 0.0095], [-0.1816, -1.3312000000000002, 1.6063, 0.007200000000000001], [1.5862, -0.0032, -1.5839, 0.008700000000000001], [1.5868, 0.0017000000000000001, 1.5844, 0.0079], [0.39840000000000003, -0.6064, 0.1257... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8125, "smallest_bitstrings": ["10110001", "10101001", "01110001"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZZIII",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIZIZIIZ",
"IIIIIZZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIIZIZZI",
"IIZIIZZI",
"IZIIIZZI",
"IIZZIIZI",
"IZIZIIZI",
"IZZIIIZI",
"IIZZIZI... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
... | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
9290fd906dd72690f81ce955c5f0f711 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [10, 138], "expectation_value": -5.783222186622166, "params": [0.6014, -0.0009000000000000001, 0.1874, -0.1925, 0.3189, 0.0979, -0.0009000000000000001, -0.3396, 0.608, 0.0011, 0.0143, -0.28, 0.6032000000000001, -0.0031000000000000003, 0.002, 0.29710000000000003, 0.6023000000000001, 0.0027, 0.0787, 0.11950000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["01011101", "11110001", "01110101"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.2123673400427708) q[0];
rz(1.7631968491244336) q[0];
rx(0.043036685828933094) q[1];
rz(1.4303957128159421) q[1];
rx(0.13805362094428814) q[2];
rz(1.7006493436974388) q[2];
rx(0.1924005223295376) q[3];
rz(0.7672259404758583) q[3];
rx(1.2067092005022897) q[4];
rz(1.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IZIIIIZI",
"IZIIZIII",
"IIIIZZII",
"IIZIIZII",
"ZIIIIZII",
"IIIZZIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2.5,
-1.5,
-2,
-0.5,
-1.5,
-1
] | 0.973839 | [
1.212367340042771,
0.1924005223295376,
0.043036685828933094,
-0.14040061397895404,
0.1380536209442881,
0.12985301690254172,
-0.8035703863190383,
1.2067092005022897,
-0.18579187240038278,
0.1898456887473598,
-0.24904304349313985,
1.359514209962895,
-0.15624608304287707,
-0.09428984020930872... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 12 |
e51dfcff5e0bdd7b2829bd7421abac35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -0.2350023309659095, "params": [[0.057600000000000005], [-0.0468]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011852432916471135, 0.0012006429612198533], "optimization_time": 4.044373035430908} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(9) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110", "1111111100"], "largest_eigenvalue": 8.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.12507163419902978) q[0];
rz(0.1760417538445167) q[0];
rx(-0.044611793963700755) q[1];
rz(-0.12688361263773196) q[1];
rx(0.033824589847390035) q[2];
rz(0.1443582039464424) q[2];
rx(0.03824320075644034) q[3];
rz(-0.30732739781761786) q[3];
rx(-0.018007342098166627) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIIIZZIIII",
"IIIIZIIIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIIIZIZI",
"ZIIIIZIIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIIIIZII"... | [
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
1.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.75,
-0.75,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-1.25,
-0.25,
0.25,
0.25,
-0.75,
0.5,
1.5,
-0.25,
-0.75,
0.75
] | 0.973925 | [
0.12507163419902978,
0.04177322522974804,
-0.04461179396370076,
-0.10142088776067595,
0.03382458984739003,
0.21789401028119604,
0.038243200756440346,
-0.2075632577545743,
-0.018007342098166623,
0.07945153965721306,
-0.059343951304027885,
-0.2795617536486162,
0.2462436178922379,
-0.41442236... | {
"n_parameters": 25,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 7 |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [62, 31], "expectation_value": -2.294074641366377, "params": [[0.0704, 0.0819], [-0.057600000000000005, -0.0805]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.029849343023828686, 0.031110568267412788], "optimization_time": 2.1617722511291504} | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.208567032423215) q[0];
h q[0];
rx(1.570796298634827) q[1];
h q[1];
rx(-0.49515335572932806) q[2];
h q[2];
rx(-0.5987634513077912) q[3];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZIIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1,
-3,
1.25,
-1.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-3.25,
-0.25,
1.5,
-1.5,
1.75,
1.75
] | 0.342857 | [
-0.208567032423215,
1.570796298634827,
-0.49515335572932806,
-0.5987634513077912,
-0.14322643594920906,
1.9846908429612853,
-0.6596876406565997,
1.5707962265194688,
-4.4145772708167875e-8,
-0.2881256931633693,
-0.275070543428923,
0.6878636309125641
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 366 |
ed50d737bfc970f4ee48d3d53e464a9a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [0, 4032], "expectation_value": -52.810906824373774, "params": [[[0.0022, 0.0025], [0.0023, 0.0013000000000000002], [0.0023, 0.0051], [0.0022, 0.0085], [0.7601, 0.0023], [1.6082, 0.007500000000000001], [0.0019, 0.0058000000000000005], [0.0021000000000000003, 0.006900000000000001], [-0.0027, 0.0061], [0.0027,... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + -3.0 * (Z(6) @ Z(7)) + -3.5... | 2 | 12 | 1 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["000000111111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6925384450281312) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.6925384450281312) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.793132481637648) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.5670332780944278) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"IIZIIZIIIIII",
"ZIIIZIIIIIII",
"ZIIIIZIII... | [
-2.5,
-2.5,
-2,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-3,
-3.5,
-3.5,
-3,
-3,
-3.5,
-3.5,
1.5,
-3.5,
-3.5,
1,
0.5,
-3.5,
1,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
2,
-3,
-2.5,
-2.5,
1.5
] | 0.524806 | [
-0.6925384450281312,
-0.793132481637648,
-0.5670332780944278,
-0.3268183952533036,
-0.24367530846612473,
-0.47195079361271075,
-0.31345989549537595,
-0.31548912383670724,
-1.0966030194205028
] | {
"n_parameters": 9,
"n_qubits": 12,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 225 |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -11.249999925008895, "params": null, "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 23, "probabilities": [8.328080276446107e-09, 0.9999999833339751], "optimization_time": 33.054131746292114} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.042183601213293724) q[0];
rz(-0.2379157173013633) q[0];
rx(0.041866752753559604) q[1];
rz(-0.16714895785697248) q[1];
rx(-0.2918772183227563) q[2];
rz(0.015045320069528856) q[2];
rx(-0.023938965135507136) q[3];
rz(-0.1333700161811624) q[3];
rx(0.11242703318236696) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIZIIII",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIZIIIZI",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
0.5,
0.25,
-0.25,
-1,
-0.25,
1.5,
-0.25
] | 0.970831 | [
0.04218360121329372,
-0.28452661302214677,
0.04186675275355961,
-0.15223136005094104,
-0.29187721832275637,
0.048940938675368625,
-0.023938965135507133,
-0.19014708149658313,
0.11242703318236696,
-0.1095468946398436,
-0.07412001935728986,
-0.062316060849386276,
-0.010396061229373844,
-0.01... | {
"n_parameters": 150,
"n_qubits": 9,
"optimal_eigenvalue": -11.25,
"target_ratio": 0.97,
"target_value": -10.9125
} | 6 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [13, 7], "expectation_value": -3.3800946265418665, "params": [[0.06520000000000001, 0.0651, 0.055200000000000006], [-0.041600000000000005, -0.0603, -0.06470000000000001]], "bitstrings": ["110010", "111000"], "total_optimization_steps": 10, "probabilities": [0.035430555913617046, 0.03543055591361707], "optimi... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
7e25bc80cdf895181c3cb661afbef0b1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 5, "ta... | {"states": [0, 127], "expectation_value": -9.59604557294124, "params": [[[0.0027, 1.6093000000000002], [0.0029000000000000002, 0.0026000000000000003], [0.0032, -0.0029000000000000002], [0.0016, 0.0024000000000000002], [-0.0029000000000000002, 0.0022], [0.0028, 0.0029000000000000002], [0.0025, -0.8716]]], "bitstrings": ... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(1) + 0.5 * Z(3) + 1.0 * Z(6) + -1.0 * Z(5) | 15 | 7 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["0000011", "0000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.017476947906633025) q[0];
h q[1];
ry(-0.017476947906633025) q[1];
h q[2];
cx q[2], q[0];
ry(0.017476947906633025) q[0];
cx q[2], q[0];
ry(1.4420336088757544) q[0];
ry(1.0582024825935825) q[2];
cx q[0], q[2];
ry(-0.44225595418592595) q[2];
cx q[0], q[2];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-2,
1,
-2,
-2.5,
1,
-2.5,
0.5,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.975588 | [
-0.03495389581326605,
1.221876092305446,
0.6159465284076566,
1.7892887981254249,
1.4420336088757544,
2.120937764266375,
0.5457315952685766,
0.8845119083718519,
0.18980440480586566,
0.19334068844138372,
1.32879701812558,
0.7149079133849797,
0.33121195677480897,
0.8051287289711053,
-1.2026... | {
"n_parameters": 41,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 48 |
6073454407729675819 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [2, 3, 5], [0, 4, 6], [0, 1, 3, 4, 5], [0, 1, 5, 6], [2, 4, 5], [6, 7]]} | {"states": [142, 157], "expectation_value": -2.137335014829013, "params": null, "bitstrings": ["01110001", "01100010"], "total_optimization_steps": 49, "probabilities": [0.03876895941282134, 0.7904497049758561], "optimization_time": 65.29247617721558} | 0.5 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666663, "smallest_bitstrings": ["01100010"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-0.011910771492125879) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.03821127246109226) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(-0.01542844788626548) q[5];
cx q[6], q[5];
cx q[3], q[5];
rz(-0.0817560343... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4845) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IZIIZIII",
"IIIIZZII",
"IZZIIIII",
"IIZIZIII",
"IIZIIZII",
"IZIIIIIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IZIZIIII",
"IIIZZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZIIIZ",
"IZIIIIZI",
"IIIIZIZI",
"IIZIIIZI",
"IIIIIIZZ",
"IIIZIIZI",
"ZZIIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIII... | [
0.5,
0.16666666666666666,
0.08333333333333333,
0.21666666666666667,
0.3333333333333333,
0.25,
0.05,
0.13333333333333333,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.... | 0.970385 | [
-0.011910771492125879,
0.03821127246109226,
-0.01542844788626548,
-0.08175603430849512,
1.3751731217831318,
-0.04862243295065432,
-0.026750634619147916,
-0.009930605289884056,
-1.5803359040197644,
1.5898593927106577,
-1.6664927668191492,
1.5060552280123707,
1.5390995794543711,
1.7105958611... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -2.3666666666666667,
"target_ratio": 0.97,
"target_value": -2.2956666666666665
} | 134 |
60093ea65732b343d8ac63be7dcb7e35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2... | {"states": [64, 63], "expectation_value": -0.49999860226469517, "params": [[0.024300000000000002, 0.0303], [-0.032, -0.033100000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00975965263750321, 0.009831656956453692], "optimization_time": 4.167270183563232} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.25 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + 0.75 * Z(3) + -0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12178335334348857) q[0];
ry(-0.007869263321115441) q[1];
ry(0.20801576466635258) q[2];
ry(0.008570263910213836) q[3];
ry(0.34213852368782627) q[4];
ry(0.15534073098527798) q[5];
ry(2.3070424566561436) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-0.5,
-0.25,
-1.25,
1,
-0.75,
-2,
-1,
-0.5,
-2.25,
-1,
-2,
-0.75,
-0.25,
0.75,
-0.25,
1,
-1,
1.5,
0.5,
-2.5
] | 0.973536 | [
-0.12178335334348857,
-0.007869263321115441,
0.20801576466635258,
0.008570263910213836,
0.34213852368782627,
0.15534073098527798,
2.3070424566561436,
0.13094827649235985,
-0.012413090717661241,
-0.022855341959053286,
0.0405743205535201,
-0.14347087381773754,
-0.03993434266620357,
0.0933760... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 29 |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 25.257461071014404} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [3, 1], "expectation_value": -2.2837616310956133, "params": [[0.0328, -0.015000000000000001, -0.042800000000000005, -0.056600000000000004], [-0.0492, -0.0354, 0.010700000000000001, 0.051000000000000004]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01345798090636... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.3835829982735985) q[0];
h q[1];
ry(-0.23054234387346784) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.6609807137639119) q[3];
h q[4];
ry(-1.6609807137639119) q[4];
h q[5];
h q[6];
ry(1.5858095443127922) q[6];
cx q[6], q[0];
ry(0.3835829982735985) q[0];
cx q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIIZIZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
-1.5,
-1,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-1.5,
-0.5,
-0.75,
4.25,
-0.25,
-4.5,
-0.25,
1,
-0.5,
0,
0.25,
4
] | 0.980551 | [
-1.4098882403195747,
1.5858095443127922,
-0.767165996547197,
-0.5539265111555969,
0.13926851479629185,
-0.11045327377191261,
-0.34994570639390055,
-1.6609807137639119,
-0.0033508676810675153,
-0.2813424644813915,
1.1199313195889984,
1.411419348927798,
-0.0019517279154879635,
0.706605540424... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 23 |
bf94e6406551047eb54e98577948dda2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -15.585027055732153, "params": [-0.0035, 1.9381000000000002, 0.0026000000000000003, 0.6087, 0.0038, 1.8641, -0.0059, 0.5644, -0.0004, 1.8604, 0.0045000000000000005, 0.5814, 0.0022, 0.7323000000000001, 0.0048000000000000004, 1.0633000000000001, 0.0037, 1.9463000000000001, -0.0061,... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 6 | 8 | 2 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.8209783381151133) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.42611973320836577) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.18222129726085273) q[2];
cx q[1], q[2];
rz(0.14707287566983435) q[3];
cx q[0], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2,
-3,
1,
0.5,
0.5,
-2.5,
0.5,
-2.5,
-2,
-1.5,
0.5,
-1.5,
1.5,
-2,
-2.5,
-2,
1.5,
0.5,
0.5,
0.5
] | 0.573288 | [
0.8209783381151133,
0.42611973320836577,
0.14707287566983435,
0.18222129726085273,
0.6697450513039219,
1.075441192615211,
0.3091718356189598,
0.9747450994580911
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 184 |
8039ad0cb583c24d8c620a2793c51821 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2993, 3001], "expectation_value": -2.514752342153687, "params": [0.7886000000000001, 0.7888000000000001, -0.0091, -0.013900000000000001, 0.7721, 0.7705000000000001, 0.7933, 0.7937000000000001, 0.7854, 0.7875000000000001, -0.018000000000000002, -0.0188, 0.7846000000000001, 0.7761, 0.7948000000000001, 0.786, ... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 13 | 12 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.20303684440564376) q[0];
rz(pi/2) q[0];
ry(-0.32370665152343553) q[1];
ry(0.22833395296615872) q[2];
ry(0.12803514223681636) q[3];
ry(0.27422120138083705) q[4];
ry(-0.09270289822469076) q[5];
ry(0.1081979051325857) q[6];
ry(0.9868045862664391) q[7];
ry(0.626985359... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
... | 0.977761 | [
0.20303684440564376,
-0.32370665152343553,
0.22833395296615872,
0.12803514223681636,
0.27422120138083705,
-0.09270289822469076,
0.1081979051325857,
0.9868045862664391,
0.6269853598514232,
-0.07359434885060798,
-0.34311618670649313,
0.2948355938221957,
0.22652888468596516,
-0.90144633473986... | {
"n_parameters": 140,
"n_qubits": 12,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 58 |
a4daa78eacadb4897b1342c199df0ce1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [113, 97], "expectation_value": -1.5406811434050907, "params": [0.39740000000000003, -0.0043, 0.394, 0.0039000000000000003, 0.3975, 0.0012000000000000001, -0.0067, 0.2141, 0.3909, 0.09870000000000001, 0.3977, 0.1423, 0.40290000000000004, 0.2074, 0.396, -0.0046, 0.3894, 0.0028, 0.3907, 0.0018000000000000002, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(1) + -1.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001110", "1101001", "1101010", "0011101", "1001101", "0010111", "0011110", "0111001", "0111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.0504122744155853) q[0];
rz(2.314852764410956) q[0];
rx(-0.011423650263074667) q[1];
rz(2.3180126298646684) q[1];
rx(0.9127929599360881) q[2];
rz(1.576066005134642) q[2];
rx(1.2595759082637357) q[3];
rz(1.0869255396552848) q[3];
rx(1.5704424721284738) q[4];
rz(1.785... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
0,
-1.5,
-0.5,
-0.5
] | 0.970219 | [
0.05041227441558531,
0.744056437616059,
-0.011423650263074667,
0.747216303069772,
0.9127929599360882,
0.005269678339745593,
1.2595759082637359,
-0.4838707871396123,
1.570442472128474,
0.2150835953800506,
0.15106313476968702,
0.11618529990197637,
-0.08431961784168296,
-0.45410965028763484,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [427, 252], "expectation_value": -0.24138827567068397, "params": [[-0.0541, -0.0675, -0.07440000000000001], [0.0604, 0.067, 0.0694]], "bitstrings": ["001010100", "100000011"], "total_optimization_steps": 10, "probabilities": [0.0030385535021933427, 0.0030385535021933445], "optimization_time": 17.978992700576... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
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0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
db7bdfb6ee94a36848a9fd983ceba634 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [0, 65], "expectation_value": -14.93021660738582, "params": null, "bitstrings": ["11111111", "10111110"], "total_optimization_steps": 44, "probabilities": [0.07856829134064691, 0.7428742592901634], "optimization_time": 42.751654386520386} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.14039623119325925) q[0];
rz(0.5275495493461682) q[0];
rx(1.320633293684479) q[1];
rz(-0.37084208291648135) q[1];
rx(0.10075084016578803) q[2];
rz(0.0887312811211598) q[2];
rx(0.07445349494960915) q[3];
rz(0.4716776547025745) q[3];
rx(0.0012203990205976458) q[4];
rz... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[7], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1.5,
-1,
-1,
2.75,
-1.5,
-1.75,
-0.75,
-1.25,
-0.5,
-0.25,
0,
-0.25,
-0.75,
1.25,
1.5,
0,
-1.5,
-0.25
] | 0.971311 | [
0.14039623119325925,
0.5697069044918339,
1.320633293684479,
0.002656640722524764,
0.10075084016578803,
0.2745350143407175,
0.07445349494960915,
0.21127976559546266,
0.0012203990205976456,
-0.2957591951349129,
0.8364192648053017,
0.179559348742313,
0.6253163906217188,
1.5230369812904816,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 14 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [1, 3], "expectation_value": -10.099070166304266, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 24, "probabilities": [0.4114150901330255, 0.4258530156110788], "optimization_time": 24.645575046539307} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
21c11211553c84ead50e336ae323da05 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 9}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [284, 316], "expectation_value": -7.567319501330671, "params": [[-0.0016, 1.5758, -0.002, -0.0031000000000000003, 0.0221, 1.5739, 0.027, 1.5761, 0.0035, -0.0021000000000000003], [1.4889000000000001, 1.5786, -0.002, -0.0031000000000000003, 1.6369, 1.5779, 1.7018, 1.5782, -0.0034000000000000002, -0.0022]], "bi... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000011", "0011100011"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.394313641958263) q[0];
ry(2.4468615171475463) q[1];
ry(-0.18774455445325683) q[2];
ry(-0.042141379941568344) q[3];
ry(0.03673609598994324) q[4];
ry(1.8786886948697985) q[5];
ry(-0.1598648379134589) q[6];
ry(1.25944116924317) q[7];
ry(0.10156644768787625) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIZIIZIII",
"ZIZIIIIIII",
"IIZIIIZIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-2,
-0.5,
-2,
-0.5,
-0.5,
-1,
-1
] | 0.973781 | [
-0.394313641958263,
2.4468615171475463,
-0.18774455445325683,
-0.042141379941568344,
0.03673609598994324,
1.8786886948697985,
-0.1598648379134589,
1.25944116924317,
0.10156644768787625,
0.2844253747215054,
2.316124002597418,
0.9840599598075431,
0.31135660941087034,
1.3870865320825672,
3.... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 41 |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -58.84587085935503, "params": [0.2808, -0.6019, 1.4955, -0.0022, 1.4944000000000002, 0.2039, 0.6785, 0.46380000000000005, 1.489, 0.021500000000000002, 1.498, 0.16740000000000002, 0.7245, 0.40140000000000003, 1.4885000000000002, -0.21300000000000002, 0.2765, 0.0044, 1.5017, 0.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.0525935599156801) q[0];
rz(0.2970493753315515) q[0];
ry(-0.05280238195070901) q[1];
ry(1.9145293619602348) q[2];
ry(0.11896541183831788) q[3];
ry(1.6776262128736183) q[4];
ry(1.5989812940360673) q[5];
ry(1.6042391584874556) q[6];
ry(0.26475625811985654) q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
15.5,
1.5,
15.5,
8.5,
5.5,
22,
7,
8
] | 0.981549 | [
-0.0525935599156801,
-0.05280238195070901,
1.9145293619602348,
0.11896541183831788,
1.6776262128736183,
1.5989812940360673,
1.6042391584874556,
0.26475625811985654,
0.594098750663103,
-0.5369054493384858,
-0.1577385704159672,
0.24970879240192104,
0.9304805543958563,
0.24429898188147828,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 12 |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 35.665199995040894} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-6.581916184979591e-07) q[0];
h q[1];
ry(0.6434977519720617) q[1];
h q[2];
ry(0.6434977519720617) q[2];
h q[3];
h q[4];
ry(0.785398270325911) q[4];
cx q[3], q[4];
ry(-0.785398270325911) q[4];
cx q[3], q[4];
ry(0.6154797530425266) q[3];
cx q[4], q[3];
ry(-0.61... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5626) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IIIZZI",
"IIZIZI",
"IIZZII",
"IZIIZI",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-1.5,
0.25,
-0.25,
-0.25,
-0.25,
0.25,
0.25
] | 0.965517 | [
1.570796540651822,
1.2309595060850531,
1.2869955039441234,
-1.5707961133230497,
1.8545964968194282,
-0.39631419127463324,
0.6801154830436662,
1.570796550632477,
-0.0000013163832369959182,
3.5289707979888594e-7,
-1.510291118014996,
1.510290485989974,
1.0482933015393622e-7,
0.205718760898137... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
62ca4fdc3f835f51dee1780376d2bf19 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [126, 122], "expectation_value": -66.37003044763365, "params": [0.2818, 0.2914, 0.7639, -0.0035, 0.7858, 0.0032, 0.7817000000000001, 0.0017000000000000001, 0.8264, 0.07980000000000001, 0.402, 0.2893, 0.7684000000000001, 0.15180000000000002, -0.0159, 0.4536, 0.28600000000000003, 0.2959, 0.7866000000000001, 0.... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
22.5,
9.5,
12.5,
12.5,
16,
11,
14.5,
0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
1fbc8ba654b4c60abea774037bc34dde | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"s... | {"states": [8120, 8184], "expectation_value": -20.67725141768323, "params": [-1.7226000000000001, -1.4086, 0.0027, 0.0006000000000000001, 0.3896, -0.3926, 1.7151, 1.4145, 0.0029000000000000002, 0.0029000000000000002, 0.0041, 0.0021000000000000003, 0.7882, 0.8505, -2.1624000000000003, -0.9769000000000001, 0.001800000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(9)) + -2.0 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -1.5 * (Z(8) @ Z(7)) + 1.0 * (Z(11) @ Z(12)) + -2.0 * (Z(10) @ Z(12)) + -2.0 * (Z(10) @ Z(11... | 14 | 13 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000111"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(-1.6655988023672168) q[0];
rz(pi/2) q[0];
ry(0.03427993713579282) q[1];
ry(0.27270941960453043) q[2];
ry(1.7810504738655002) q[3];
ry(-0.008947304932822392) q[4];
ry(-0.04620534064650329) q[5];
ry(1.3222052646119018) q[6];
ry(-2.261402263096612) q[7];
ry(0.047185084... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIZZIII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIZIIZIIIIII",
"IIIZIZIIIIIII",
"IIIIIZZIIIIII",
"IIIZZIIIIIIII",
"IIIIZZIIIIIII",
"ZZIIIIIIIIIII",
"ZIZIIIIIIIIII",
"IZZIIIIIIIIII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
1,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1.5
] | 0.970801 | [
-1.6655988023672168,
0.03427993713579282,
0.27270941960453043,
1.7810504738655002,
-0.008947304932822392,
-0.04620534064650329,
1.3222052646119018,
-2.261402263096612,
0.04718508430297329,
0.1118120576091939,
0.1597129459594356,
-0.23429072665102493,
3.141337219155236,
3.045381941328602,
... | {
"n_parameters": 46,
"n_qubits": 13,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 16 |
b2a86e79e509d0d76748a475959a4d60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 156.07059526443481} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 4 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.10531842151091338) q[0];
cx q[3], q[0];
rz(0.4891930059834122) q[0];
rx(-0.0661317683158416) q[0];
cx q[3], q[1];
rz(0.10531842151091338) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.10531842151091338) q[2];
cx q[1], q[2];... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
0.5,
18.5,
5.5,
22,
15,
4.5,
13.5
] | 0.981939 | [
0.10531842151091338,
-0.9612079782757411,
0.4891930059834108,
-0.3889941233568148,
0.09888614070956181,
-0.06613176831584158,
-0.15982742550497311,
-0.9131467726130178,
-0.7744447103826919,
0.963045529704064,
-0.42018965464630975,
0.1277451781058455,
0.12286825244091745,
-0.142262780034014... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 44 |
588728b8bbe9e62f1f3c4eda65772dd8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -26.019034676355417, "params": [0.0036000000000000003, -0.5365, 0.0037, 0.0063, 0.0022, -0.5790000000000001, 0.0021000000000000003, 0.003, 0.8036000000000001, 0.050800000000000005, 0.8057000000000001, 0.0013000000000000002, 0.0023, -0.5788, 0.0023, 0.0013000000000000002, 0.0026... | -0.75 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(0)) + -1.5 * (Z(8) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(9)) + -1.0 * (Z(10) @ Z(9)) + -0.75 * (Z(10) @ Z(1)) + -1.5 * (Z(3) @ Z(8)) + -2.0 * (Z(3) @ Z(10)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-32.75, -32.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -28.75, "smallest_bitstrings": ["11011111111", "11011011111"], "largest_eigenvalue": 26.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.18204333697123984) q[0];
rz(-0.7307208154735676) q[0];
rx(0.01435988673025056) q[1];
rz(-0.5872169273457502) q[1];
rx(1.4806939780773718) q[2];
rz(0.38990812877490466) q[2];
rx(-0.0032470376526251427) q[3];
rz(-0.675659412994218) q[3];
rx(0.05171819765028156) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIZIIIIIIIZ",
"IZIIIIZIIII",
"IZIIIIIIIIZ",
"IIIIIIZIIZI",
"IZIIIIIIIZI",
"ZZIIIIIIIII",
"ZIIIIIIIIZI",
"IIZIIIIZIII",
"ZIIIIIIZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IZIIZIIIIII",
"ZIIIZIIIIII",
"IIIIZIIZIII",
"IIIZIIZIIII",
"IIIZIIIZI... | [
-0.75,
-1.25,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-0.5,
-1,
-0.75,
-1.5,
-2,
-1,
-1.5,
-1.5,
-0.5,
-0.5,
-1.25,
-0.5,
-0.75,
5.5,
-1.5,
-0.5,
1.75,
-0.25,
2.75,
0,
-2,
-0.75,
-2.75,
-1,
-1.25,
0,
3.5
] | 0.973258 | [
-0.18204333697123984,
-0.7116032987210834,
0.014359886730250557,
-0.5943625064925616,
1.4806939780773716,
0.08154860134071357,
-0.0032470376526251427,
-0.6804933900700074,
0.05171819765028156,
-0.4975252967044931,
-0.1712691218254449,
-0.27574915877284634,
-0.009558228719308455,
-0.3053251... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -32.75,
"target_ratio": 0.97,
"target_value": -31.7675
} | 7 |
4f469c7e46eb2af0afcc0adf37eb51e5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [57, 25], "expectation_value": -2.837653460994882, "params": [0.004, 0.2301, 0.002, 0.23450000000000001, 0.17500000000000002, 0.2202, 0.1751, 0.225, 0.39430000000000004, -0.004200000000000001, 0.3971, -0.0009000000000000001, 0.2725, 0.054700000000000006, 0.2696, 0.0775, 0.0076, 0.22870000000000001, 0.0046, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(0) + -0.25 * Z(1) + -0.5 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -0.25 * Z(6) | 7 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.25, "smallest_bitstrings": ["1100110", "0110110", "1001011", "1001110", "1000111"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13519507647866041) q[0];
rz(0.4924009479507401) q[0];
rx(0.16373915963107033) q[1];
rz(0.41441728769518293) q[1];
cx q[1], q[0];
rz(-0.014723938595193345) q[0];
cx q[1], q[0];
rz(1.9582635450285224) q[0];
ry(0.32867241233668903) q[0];
rz(-0.7527985942567366) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZZIII",
"IIIZIZI",
"ZIIIIZI",
"ZIIZIII",
"ZIIZIZI",
"IZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25
] | 0.976272 | [
-0.13519507647866041,
0.4776770093555464,
0.16373915963107033,
0.41441728769518293,
0.43601319183243553,
-0.12860327045122943,
0.47520601648481586,
-0.26613985523639705,
0.2679778928608566,
0.1284597429982901,
0.2853870015203992,
0.424354020900077,
-0.032097764887675774,
0.0294478771903866... | {
"n_parameters": 98,
"n_qubits": 7,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 7 |
66118b4a39d9f94415b36602b745f3db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 63], "expectation_value": -3.9579918617006453, "params": [[[0.0027, 1.1022], [-0.0027, -0.0023], [0.0028, 0.0029000000000000002], [-0.0018000000000000002, -0.0026000000000000003], [0.0026000000000000003, 0.0023], [0.0025, -0.33190000000000003], [1.2454, 0.0022]], [[-0.3899, -1.3826], [-0.0028, -1.1465], ... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + 0.25 * Z(1) + -0.5 * Z(5) + 0.5... | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.12524510593503183) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.2057321989079934) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.12524510593503183) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0.2057... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"IZIIZII",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.5,
0.5,
0,
0.5
] | 0.959452 | [
-0.12524510593503183,
-0.2057321989079934,
0.18692089032363474,
0.6210941574237907,
0.4969742707579973,
0.9038872847986754,
-1.528486332966517,
-0.26931922132779773,
-0.442174215049874,
0.3538515939923324,
1.0125796270904612,
0.4397668488203588,
-1.1536132104223544,
-0.5382064669199504,
... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [5, 1], "expectation_value": -1.6432785629398852, "params": [[-0.0629, -0.0692, -0.0723], [0.07150000000000001, 0.0746, 0.0756]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.019252015159748607, 0.02125214679561945], "optimization_time": 2.7126624584198} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
6392584644503107042 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [0, 3, 4], [2, 4]]} | {"states": [35, 51], "expectation_value": -1.0217850958427444, "params": null, "bitstrings": ["011100", "001100"], "total_optimization_steps": 35, "probabilities": [0.12319302491743218, 0.7588569150623519], "optimization_time": 26.792179584503174} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.125 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101000", "000011", "001100", "010010"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.1687271060965715e-07) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-1.1687271060965715e-07) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.5707960609961396) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-1.1687271060965... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.1408) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IZIIIZ",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.125,
0.29166666666666663,
0.29166666666666663,
0.125,
0.16666666666666663,
0
] | 0.818294 | [
-1.1687271060965715e-7,
-1.5707960609961396,
-1.452711863649659e-7,
-1.5707961825372765,
-1.5707966175191466,
-1.3853028513804687e-7,
-4.630171633064887e-8,
0.8148503024883176
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 171 |
24e9c86cfdb3e8240ca21f54feb2ae3f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -29.65818132545019, "params": [[0.024300000000000002, 0.0082, -0.0053, -0.007500000000000001], [-0.06910000000000001, -0.06620000000000001, -0.047400000000000005, -0.038]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.007702480... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
17,
17.5,
15,
2,
14.5,
2.5,
2
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -2.6026480987091776, "params": [[0.0694, 0.07640000000000001, 0.0641, 0.07200000000000001], [-0.057100000000000005, -0.0728, -0.053500000000000006, -0.0608]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.07089748816790079, 0.0862150381319... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.403513744402808) q[0];
rz(-pi) q[1];
ry(-0.26244175595439895) q[1];
rz(-pi) q[2];
ry(-0.029488094427819626) q[2];
h q[3];
ry(-1.4713482188317892) q[3];
h q[4];
cx q[4], q[0];
ry(0.403513744402808) q[0];
cx q[4], q[0];
ry(-1.102703959745292) q[0];
ry(1.6020... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-1.5,
-1,
1.75,
-0.75,
-1.25,
-1,
1.5,
-0.25,
0.75,
0.25,
-2.25
] | 0.971362 | [
-1.4713482188317892,
-0.807027488805616,
1.4911052735712893,
-1.102703959745292,
-1.7020375436318982,
-1.833778612837321,
0.221883680341239,
0.20350624481836382,
0.0010810601760510158,
0.1165906038876539
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 14 |
2035269790700121570 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 5], [4, 5], [0, 3], [0, 1]]} | {"states": [49, 58], "expectation_value": -0.05561342533625128, "params": [[0.0753], [-0.0755]], "bitstrings": ["001110", "000101"], "total_optimization_steps": 10, "probabilities": [0.016687279279681586, 0.016687279279681586], "optimization_time": 0.4207422733306885} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -0.5, "smallest_bitstrings": ["100001", "101110", "010001", "110001", "100101", "000101", "001110", "010101", "101010", "011110", "111010", "011010"], "largest... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(0.7329792222238551) q[1];
cx q[3], q[1];
cx q[3], q[0];
rz(0.7329792222238551) q[0];
cx q[3], q[0];
cx q[1], q[0];
rz(0.7329792222238551) q[0];
cx q[1], q[0];
rz(-5.447710638151193e-08) q[0];
rx(-0.6616722635000314) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIZIZI",
"ZIIZII",
"ZZIIII",
"IIZIIZ",
"IIIIZZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IIIZII",
"IZIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.690034 | [
0.7329792222238551,
-5.447710665826441e-8,
-0.6616722635000314
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 87 |
-5249498486074332023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 4], [11, 6, 7], [9, 5, 7], [8, 11, 3], [9, 6], [10, 4, 5], [10, 11], [9, 2, 11], [11, 4, 5], [1, 4, 7], [8, 2, 5], [8, 3, 4], [1, 9], [4, 6, 7], [2, 5, 6], [8, 10, 6], [8, 5, 7], [3, 7], [8, 1, 11], [0, 9], [2, 7], [1, 3], [0, 5, 7], [9, 3], [10, 5... | {"states": [3580, 3576], "expectation_value": -4.487245503352814, "params": [1.9004, -0.002, 1.8826, -0.0009000000000000001, 0.6958000000000001, -0.7168, 1.8775000000000002, -0.004, 1.8629, 0.0031000000000000003, 1.8912, 0.0082, 1.8940000000000001, 0.07150000000000001, 1.8989, -0.0012000000000000001, 1.9107, 0.00210000... | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.5 * (Z(9) @ Z(4... | 4 | 12 | 1 | {"smallest_eigenvalues": [-7.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.333333333333331, "smallest_bitstrings": ["001000000111"], "largest_eigenvalue": 25.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.756559849313123) q[0];
rz(1.6492536976686614) q[0];
rx(2.7278282706837453) q[1];
rz(1.334322235543472) q[1];
rx(-0.1616537799400636) q[2];
rz(0.3831619544705003) q[2];
rx(1.847960737683265) q[3];
rz(1.691868008642322) q[3];
rx(2.011188114860257) q[4];
rz(1.7800386... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIZIZIIII",
"IIIIIZIIIIIZ",
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIIZIIIIZIII",
"IIZIIIIZIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"IIZIIIIIZIII",
"IIZZIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIZIII",
"ZIIZIIIIIIII",
"ZIZIIIIII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.6666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666... | 0.970549 | [
2.756559849313123,
0.07845737087376481,
2.7278282706837453,
-0.23647409125142427,
-0.1616537799400636,
-1.1876343723243965,
1.847960737683265,
0.12107168184742509,
2.011188114860257,
0.20924237052968947,
1.6711361498858763,
-0.11247702503726949,
2.082191898665067,
-0.061983085193362215,
... | {
"n_parameters": 35,
"n_qubits": 12,
"optimal_eigenvalue": -7.333333333333332,
"target_ratio": 0.97,
"target_value": -7.113333333333332
} | 33 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 11], "expectation_value": -0.599767249971811, "params": [[-0.08360000000000001, -0.0779, -0.075], [0.07930000000000001, 0.0737, 0.0692]], "bitstrings": ["101001", "110100"], "total_optimization_steps": 10, "probabilities": [0.027358612840323523, 0.027358612840323555], "optimization_time": 3.186017036437... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
2250420474962082172 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[1, 10, 5], [3, 13, 7], [11, 5, 6], [0, 9], [9, 4, 13, 1], [10, 5, 13, 7], [10, 11, 12, 6], [1, 4, 12], [8, 1, 12], [8, 5], [3, 12], [8, 0, 4], [11, 3, 4], [1, 3, 5], [1, 2, 6], [9, 11, 5], [8, 6], [8, 11]]} | {"states": [5079, 13255], "expectation_value": -5.437181008133927, "params": null, "bitstrings": ["10110000101000", "00110000111000"], "total_optimization_steps": 100, "probabilities": [0.06676966700582951, 0.7229839637130988], "optimization_time": 453.22073006629944} | 0.16666666666666666 * (Z(1) @ Z(10)) + 0.25 * (Z(5) @ Z(10)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(13) @ Z(10)) + 0.08333333333333333 * (Z(13) @ Z(1)) + 0.08333333333333333 * (Z(13) @ Z(5)) + 0.16666666666666666 * (Z(1... | 1 | 14 | 1 | {"smallest_eigenvalues": [-5.916666666666619], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.583333333333203, "smallest_bitstrings": ["00110000111000"], "largest_eigenvalue": 15.500000000000039} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
ry(1.622323853797037) q[1];
h q[2];
ry(-0.22849399886104105) q[2];
h q[3];
ry(-0.31717151336686733) q[3];
h q[4];
ry(0.28473853125701776) q[4];
h q[5];
ry(1.6083123161979713) q[5];
h q[6];
h q[7];
ry(0.5005466405039287) q[7];
h q[8];
ry(-0.1929573254010... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nry(1.5668) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc... | [
"IIIZIIIIIIIIZI",
"IIIZIIIIZIIIII",
"IIIIIIIIZIIIZI",
"IIIIIIIIIIZIZI",
"IIIIIIIIZIZIII",
"ZIIZIIIIIIIIII",
"ZIIIIIIIIIIIZI",
"ZIIIIIIIZIIIII",
"ZIIIIIIIIIZIII",
"IIIZIIZIIIIIII",
"IIIIIIZIZIIIII",
"IIIIIIZIIIZIII",
"ZIIIIIZIIIIIII",
"IIZZIIIIIIIIII",
"IIZIIIIIZIIIII",
"IIZIIIIIIIZIII"... | [
0.16666666666666666,
0.25,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.3333333333333333,
0.1... | 0.974485 | [
1.622323853797037,
1.3919669087676265,
-0.3859146508020538,
1.6083123161979713,
-0.6728242406299222,
0.9771919580908417,
-0.48187344876495264,
-0.6089499014377678,
1.2230505474597213,
-0.43439251779021815,
1.084979075112719,
-0.6343430267337347,
0.9596075006772701,
-0.8592914905911198,
0... | {
"n_parameters": 66,
"n_qubits": 14,
"optimal_eigenvalue": -5.916666666666619,
"target_ratio": 0.97,
"target_value": -5.739166666666621
} | 36 |
0de92e456531b31a77cd245be60cab48 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [189, 185], "expectation_value": -60.49906899160992, "params": [0.2927, 0.2544, 0.6953, 0.0427, 0.2827, 0.2592, 0.7003, -0.0029000000000000002, 0.6918000000000001, 0.0025, 0.6985, -0.07780000000000001, 0.38970000000000005, -0.1756, -0.0016, 0.461, 0.7032, 0.0247, 0.2861, 0.251, 0.7020000000000001, 0.0864, 0.... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(0)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(8) @ Z(3)) + 5.5 * (Z(7) @ Z(8)) + 9.5 * Z(1) + 4.0 * Z(0) + 3.5 * Z(2) + 9.5 * Z(3) + 13.5 * Z(4) + 15.0 * Z(5) + 8.0 * Z(6) + 8.5 * Z... | 18 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101000110"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.08502995580545064) q[0];
rz(0.020533746192216373) q[0];
rx(0.8151071565938384) q[1];
rz(-0.022224289338715078) q[1];
rx(-0.011103796659666584) q[2];
rz(0.12358379208222281) q[2];
rx(0.7109325255880927) q[3];
rz(-0.09157473197252408) q[3];
rx(0.7357215780120397) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
9.5,
4,
3.5,
9.5,
13.5,
15,
8,
8.5,
-4.5
] | 0.977408 | [
0.08502995580545065,
0.08264739220743719,
0.8151071565938384,
-0.022224289338715078,
-0.011103796659666584,
0.12358379208222281,
0.7109325255880927,
-0.09157473197252408,
0.7357215780120397,
0.04256981219088747,
0.9146421203670405,
-0.12447314191306448,
0.13363843946745183,
-0.002859431120... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -78,
"target_ratio": 0.97,
"target_value": -75.66
} | 12 |
e776e7ca61722eeb2742e447edcfe87e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [51, 115], "expectation_value": -11.725458731613575, "params": null, "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 47, "probabilities": [0.002725986084030044, 0.997272149847847], "optimization_time": 49.11871910095215} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.034122336178231724) q[0];
h q[1];
ry(0.8302250352322847) q[1];
h q[2];
ry(0.8302250352322847) q[2];
h q[3];
ry(0.8302250352322847) q[3];
ry(-0.018743600585612252) q[4];
rz(-pi) q[4];
ry(-0.010377398900047474) q[5];
rz(-pi) q[5];
h q[6];
ry(1.66339586... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-1.75,
-0.5,
-1.25,
-1.25,
1,
-1,
-2.25,
-0.25,
3,
0.5,
2.75,
-0.75,
-3,
0
] | 0.996088 | [
1.6633958676674003,
1.6604500704645695,
1.5726364930700092,
-1.5381559222144467,
-1.4640852504813424,
-1.5109462333724724,
-0.17593495145588436,
-0.09894538904475342,
-0.13352548151736307,
0.04487367811379654,
-0.07630612422321119,
0.00679707587567183,
0.025077255090628234,
-0.146377886311... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 1 |
f1640e695537484b2312e9751721a99b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "... | {"states": [4092, 4095], "expectation_value": -8.10992513373588, "params": [0.2772, 0.0037, 1.6294000000000002, -0.0035, 1.2304000000000002, -0.0038, 1.6362, 0.0021000000000000003, 0.1903, 0.0015, -0.797, -0.0026000000000000003, 0.2755, -0.0038, 1.6360000000000001, -0.0036000000000000003, 1.2329, -0.001, 1.5072, 1.427,... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(11) + 0.5 * Z(10) | 4 | 12 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000000", "000000000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.20682926243626037) q[0];
rz(1.5101480865455725) q[0];
rx(2.023379036717831) q[1];
rz(1.3332883819317862) q[1];
rx(1.5404235639731099) q[2];
rz(1.6533263619636909) q[2];
rx(1.5135954826845384) q[3];
rz(1.7132155009241306) q[3];
rx(0.23954055657808487) q[4];
rz(1.38... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIZIII",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIIIIZIIIIII",
"IIZIIIIIIIII",
"IIIZIIIIIIII",
"ZIIIIIIIIIII",
"IZIIIIIII... | [
-1,
-1,
-1.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971417 | [
0.2068292624362604,
-0.06064824024932371,
2.023379036717831,
-0.23750794486311028,
1.54042356397311,
0.08253003516879436,
1.5135954826845384,
0.14241917412923422,
0.23954055657808487,
-0.1897819357360625,
-1.6162972418262256,
0.1775490068100773,
0.41283475527304786,
1.8466065286995248,
-... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 28 |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 19.455673217773438} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110", "1010100", "1110110", "1110100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.1613355818092186) q[0];
h q[1];
ry(-0.12233573057545974) q[2];
rz(-pi) q[2];
h q[3];
ry(1.3171455343153773) q[3];
h q[4];
ry(-1.4549864237177321) q[4];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.1613355818092186) q[0];
cx q[6], q[0];
ry(-1.3359098122324058) q[0];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"IIZZIII",
"ZIIZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
1.75,
-0.25,
-0.5,
-0.5,
0,
-0.25,
-1,
-0.75,
0.75,
0.75,
0.5
] | 0.978301 | [
-0.3226711636184372,
1.0297858894541518,
-1.3860618782316705,
-1.4549864237177321,
-1.2701039327304473,
1.3171455343153773,
0.6533473382192567,
-0.13161175900391658,
-0.23704437420561295,
-0.36147363198884425,
0.07668172061107403,
0.05424147455893963,
0.18792758690886313,
-0.12479743597553... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 14 |
06224520ded029e940b1fde3f5ab3e3b | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [1385, 1386], "expectation_value": -1.5100289765183474, "params": [-0.018600000000000002, 0.008400000000000001, 0.5241, 0.5209, -0.0048000000000000004, -0.0035, 0.5256000000000001, 0.5273, -0.011600000000000001, 0.0261, 0.5212, 0.5173, 0.5337000000000001, 0.5288, 0.0105, 0.0342, -0.8105, -0.9051, 0.4746, 0.5... | 0.25 * (Z(0) @ Z(1)) + -0.0017361111111111112 * (Z(2) @ Z(0)) + -0.0017361111111111112 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00034722222222222224 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + 0.00034722222222222224 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5204861111111114, -1.5204861111111114], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5149305555555554, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5156250000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017361111111111112,
-0.0017361111111111112,
0.25,
0.00034722222222222224,
-0.0013888888888888892,
0.00034722222222222224,
-0.0013888888888888892,
0.25,
0.00034722222222222224,
0.0006944444444444445,
0.0006944444444444445,
0.00034722222222222224,
0.0006944444444444445,
0.0006944... | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
-5751249132743867441 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [6, 7], [3, 7], [0, 1, 2, 4, 5], [2, 3, 6], [1, 3, 5], [5, 6]]} | {"states": [250, 218], "expectation_value": -1.7441955309687178, "params": [1.3031000000000001, 0.3824, 1.2931000000000001, 0.0089, 1.2965, 0.383, 1.2917, 0.0066, 1.0608, 0.136, 1.0622, 0.0025, 1.2925, 0.0952, 1.2917, 0.0091, 1.1072, 0.0119, 1.2911000000000001, 0.0053, 0.7731, 0.49860000000000004, 0.6842, 0.0047, 1.297... | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.16... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.7000000000000006], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5000000000000004, "smallest_bitstrings": ["00100101"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.068333978197606) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.4072099476402096) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.20653172881579826) q[5];
cx q[0], q[5];
h q[6];
cx q[3], q[6];
rz(-0.068333978197606... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIZIIZII",
"IZIIIZII",
"IIIIIZZI",
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIZIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIII... | [
0.16666666666666666,
0.3333333333333333,
0.21666666666666667,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5000000000000001,
0.26666666666666666,
0.4... | 0.536176 | [
-0.068333978197606,
0.4072099476402096,
0.20653172881579826,
0.8070480169963404,
0.04152867476315612,
1.5116744985911827,
-0.06932726946519543,
-0.47193901256005105,
-1.2828830187120737,
-0.9194868234939167
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -2.7000000000000006,
"target_ratio": 0.97,
"target_value": -2.6190000000000007
} | 271 |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.2660813590230269, "params": [[-0.018500000000000003, 0.044700000000000004, 0.0388, 0.012700000000000001], [0.058600000000000006, -0.0332, -0.0309, -0.0269]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.017566169264293947, 0.01756616... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
531e4441eff4c5873b966bf834cf52d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 127], "expectation_value": -0.8954588417032596, "params": [[0.0757, 0.0763], [-0.08220000000000001, -0.0796]], "bitstrings": ["100000000", "110000000"], "total_optimization_steps": 10, "probabilities": [0.004203015491915717, 0.004448843019221421], "optimization_time": 4.480219841003418} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(3)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110001000", "110000000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7769864129060373) q[0];
h q[1];
ry(-0.7952159371434646) q[1];
h q[2];
ry(1.5372083132000285) q[2];
h q[3];
ry(0.8697430703869377) q[3];
h q[4];
ry(0.8697430703869377) q[4];
cx q[2], q[4];
ry(-0.8697430703869377) q[4];
cx q[2], q[4];
ry(-0.04839656505682846... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IIZZIIIII",
"ZIZIIIIII",
"IIZIIIZII",
"IIZIZIIII",
"IIIIIZIZI",
"IIIZIZIII",
"ZIIIIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIZIII",
"... | [
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
1.5,
0.5,
-1,
0.25,
0.75
] | 0.993261 | [
1.5372083132000285,
1.7394861407738753,
1.6035429444931923,
-1.5539728258120746,
-1.5904318742869292,
-0.04839656505682846,
0.03689823600225966,
-0.023558954156701756,
-0.03628253472063196,
-0.022960330714711843,
0.03791568017069479,
-0.06984764664183707,
0.12461453077618921
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
468bc89be4bb55afb4a795094e477fe7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1086, 1078], "expectation_value": -133.21193860577898, "params": [0.0024000000000000002, 0.0089, 2.7952000000000004, 0.0028, -0.002, 0.0045000000000000005, 0.5847, 0.0082, -0.0025, 0.0048000000000000004, 0.8788, 0.008, 2.8021000000000003, 0.0029000000000000002, 2.8028, 0.0058000000000000005, 1.5465, 0.0005,... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(3) @ Z(7)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(6) @ Z(7)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(3)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(11) @ Z(6)) + 8.0 * (Z(11) @ Z(10)) + -7.0 * Z(2) + 13.5 * Z(1) + 2... | 18 | 12 | 1 | {"smallest_eigenvalues": [-158.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -136.0, "smallest_bitstrings": ["101111001001"], "largest_eigenvalue": 234.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.048969292891073005) q[0];
rz(0.6965691994795895) q[0];
rx(3.1095856365212944) q[1];
rz(-0.4941108453635853) q[1];
rx(-0.14590345618912504) q[2];
rz(0.19323044919877908) q[2];
rx(-0.0084067235305256) q[3];
rz(-0.039710775007210805) q[3];
rx(-0.10462597870391097) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIZIZIIIIIII",
"IIZIIIIIZIII",
"IIIZIIIIIIZI",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"IZIZIIIIIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIZIIIIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-7,
13.5,
24.5,
2,
4,
16.5,
15.5,
13,
17.5,
2,
-14,
-14.5
] | 0.971548 | [
0.04896929289107301,
0.6675953730114512,
3.1095856365212944,
-0.4941108453635853,
-0.14590345618912504,
0.19323044919877908,
-0.0084067235305256,
-0.039710775007210805,
-0.10462597870391097,
0.44656202015287444,
0.38721624519134573,
0.2770873388311238,
3.027658652879071,
-0.142047403939396... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -158,
"target_ratio": 0.97,
"target_value": -153.26
} | 12 |
532d7b9840f324faf47e567c6a0fdd6f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -19.024219486355108, "params": [-0.0022, 0.5296000000000001, -0.0105, 0.8181, -0.0048000000000000004, 0.5741, 0.004200000000000001, 0.9379000000000001, -0.0021000000000000003, 0.5208, -0.009000000000000001, 0.7414000000000001, -0.0012000000000000001, 0.555, -0.0018000000000000002... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.5707977335680394) q[0];
ry(-0.013502097976412934) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5707977335680394) q[2];
rz(-pi) q[3];
ry(-4.219105240513308e-06) q[3];
ry(-1.4827129329316227e-05) q[4];
rz(-pi) q[4];
h q[5];
ry(0.7853975177179691) q[5];
h q[6];
h q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-3,
-3,
1.5,
-3,
0.5,
0.5,
-2,
-2.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
1.5,
-2.5,
1,
0.5,
0.5,
0.5
] | 0.9625 | [
-1.5707977335680394,
-1.5707941200048936,
-1.5707799134645657,
-0.00001285179048671854,
0.0000018395551598433803,
1.5707950354359381,
2.4725657086000994,
1.2309349690645535,
-0.0000031724020034693597,
0.38504468633579836,
-0.3850548391687979,
0.000003773593329815815,
-0.5169980183123583,
-... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
5dad688a93671469362a3d3d00961b05 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [12, 5], "expectation_value": -2.2240722867802383, "params": null, "bitstrings": ["10011", "11010"], "total_optimization_steps": 15, "probabilities": [0.0739903318953996, 0.9005293513110026], "optimization_time": 8.249892950057983} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"ZIZII",
"IZZII",
"ZZIII",
"ZZZII",
"ZIIZI",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
cccde4707d298ae394e20cc161e11586 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [1, 9], "expectation_value": -0.9966823224672283, "params": [[-0.0465, -0.0337], [0.0613, 0.0405]], "bitstrings": ["111111110", "111110110"], "total_optimization_steps": 10, "probabilities": [0.0031669321868480456, 0.003177720311265122], "optimization_time": 4.5633673667907715} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.05421342206995221) q[0];
rz(2.472793468584289) q[0];
rx(-0.09375759374281041) q[1];
rz(2.917477635073352) q[1];
rx(0.25161845486511375) q[2];
rz(1.5974753074152792) q[2];
rx(0.005844577706896247) q[3];
rz(2.6587657285286665) q[3];
rx(0.01727117515975269) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIZIII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIIIIIZI",
"IIZIZIIII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
-0.5,
-0.75,
-0.25,
-1,
-1,
-0.5,
-0.75,
-2,
-1,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.25,
0.5,
-0.25,
-1,
1.25,
-2.75,
0.25,
0.5,
0.5,
1
] | 0.970013 | [
-0.05421342206995221,
0.9019971417893926,
-0.0937575937428104,
1.3466813082784552,
0.25161845486511375,
0.02667898062038268,
0.005844577706896246,
1.0879694017337702,
0.01727117515975269,
1.0719536248129202,
-0.9736904409911167,
0.037313040150841414,
1.1827146526257986,
1.164820999137664,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 3 |
48ae5229d964a116a3ebee0f6167a21b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 7, "source": ... | {"states": [2048, 2047], "expectation_value": -40.50367138092896, "params": [[[-0.008, 0.0083], [0.010700000000000001, -0.0022], [-0.0002, -0.0023], [-0.00030000000000000003, 0.0026000000000000003], [-0.0035, -0.0031000000000000003], [0.007500000000000001, 0.0029000000000000002], [0.0017000000000000001, 0.002], [0.0091... | -0.5 * (Z(0) @ Z(6)) + -1.5 * (Z(11) @ Z(0)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(11)) + -1.5 * (Z(5) @ Z(11)) + -1.75 * (Z(5) @ Z(1)) + -2.0 * (Z(8) @ Z(11)) + -1.0 * (Z(8) @ Z(1)) + -1.25 * (Z(9) @ Z(11)) + -0.5 * (Z(9) @ Z(1)) + -1.75 * (Z(9) @ Z(8)) + -3.0 * (Z(2) @ Z(11)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -40.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.11599043621590667) q[0];
ry(-0.16764728462717093) q[1];
ry(-0.07434448133189409) q[2];
ry(-0.07997441519736506) q[3];
ry(0.09525284981596152) q[4];
ry(0.18454967944791129) q[5];
ry(0.0357430282823052) q[6];
ry(0.06943189543051333) q[7];
ry(0.07727593870541795) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIZIIIIZI",
"ZIIIIIIIIIZI",
"ZIIIIIZIIIII",
"IIIIIIZIIIZI",
"ZIIZIIIIIIII",
"IIIZIIIIIIZI",
"ZIZIIIIIIIII",
"IIZIIIIIIIZI",
"IIZZIIIIIIII",
"ZIIIIIIIIZII",
"IIIIIIIIIZZI",
"IIIIIIZIIZII",
"IIIZIIIIIZII",
"ZIIIIIIZIIII",
"IIIIIIZZIIII",
"IIIZIIIZI... | [
-0.5,
-1.5,
-1.75,
-1.25,
-1.5,
-1.75,
-2,
-1,
-1.25,
-0.5,
-1.75,
-3,
-1,
-1.25,
-1,
-2.5,
-0.75,
-1.75,
-3.25,
-2.25,
-1.25,
2.25,
-1.75,
-1,
-1.75,
-1.25,
-1.5,
-0.5,
-1.75,
-0.75,
-0.25,
-1.75,
5.75,
-0.75,
0.5,
0,
-0.75,
-0.75,
1.5,
... | 0.970596 | [
-0.11599043621590667,
-0.16764728462717093,
-0.07434448133189409,
-0.07997441519736506,
0.09525284981596152,
0.18454967944791129,
0.0357430282823052,
0.06943189543051333,
0.07727593870541795,
0.03472277971019748,
-1.3911241020174998,
-0.018732080613752644,
0.07951231942790511,
-0.008139036... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 19 |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [44, 28], "expectation_value": -3.996446952350972, "params": null, "bitstrings": ["1010011", "1100011"], "total_optimization_steps": 28, "probabilities": [0.06701298199200859, 0.929703967356024], "optimization_time": 26.431753158569336} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.579450656118302) q[0];
h q[1];
ry(-0.44857055279780694) q[1];
h q[2];
cx q[2], q[1];
ry(0.44857055279780694) q[1];
cx q[2], q[1];
ry(-0.6176282854684922) q[1];
ry(0.9354167381087468) q[2];
h q[3];
ry(1.354925211870143) q[3];
cx q[3], q[2];
ry(-0.2031831782... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"ZIIIIZI",
"IZIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5,
-0.5
] | 0.995957 | [
-1.579450656118302,
-1.4796410360738341,
1.354925211870143,
1.5350111707384577,
-0.8971411055956139,
0.7322335598561136,
-0.11609142966867134,
-0.49347830243712204,
0.40636635650526653,
-0.24829996606274043,
0.2523136444711719,
-0.1666060973439571,
-0.08691841742404358,
0.04526886395189124... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
d1a7b7cf714c6ef8e95d1c5632642a08 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 959], "expectation_value": -7.2710508003769725, "params": [0.17170000000000002, 0.7230000000000001, -0.24780000000000002, 1.0809, 0.53, 0.277, -0.5052, 1.3257, -0.48850000000000005, 0.3252, 0.5383, 1.0266, -0.47800000000000004, 0.6157, 0.45640000000000003, 1.4012, 0.5446, 0.5872, -0.5255000000000001, 0.9... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 6 | 10 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.6594434473268916) q[0];
rz(2.4281580670868266) q[0];
rx(-0.1314305132701061) q[1];
rz(2.688737749938543) q[1];
rx(0.21738323931720602) q[2];
rz(2.42959789534798) q[2];
rx(0.05597814352993894) q[3];
rz(1.769410372235825) q[3];
rx(-1.409247516446352) q[4];
rz(2.763... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IIZIIIIZII",
"ZIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.924408 | [
-0.6594434473268918,
0.8573617402919295,
-0.13143051327010608,
1.117941423143645,
0.21738323931720602,
0.858801568553084,
0.05597814352993894,
0.19861404544092898,
-1.409247516446352,
1.1928817521818944,
-0.5334353707557503,
1.0263500870205093,
-1.2542149501203599,
0.7407077702430986,
-0... | {
"n_parameters": 199,
"n_qubits": 10,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 500 |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [19, 31], "expectation_value": -2.39985866460012, "params": [[-0.0023, -0.0014, 0.6905, 0.6920000000000001, -0.0015, 0.0025], [-0.6458, 0.6889000000000001, 0.6963, 0.7051000000000001, 0.6888000000000001, 0.6668000000000001], [0.6614, 0.6944, 0.6989000000000001, 0.7041000000000001, 0.6950000000000001, -0.6533... | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 9 | 6 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.208567032423215) q[0];
h q[0];
rx(1.570796298634827) q[1];
h q[1];
rx(-0.49515335572932806) q[2];
h q[2];
rx(-0.5987634513077912) q[3];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZIIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1,
-3,
1.25,
-1.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-3.25,
-0.25,
1.5,
-1.5,
1.75,
1.75
] | 0.342857 | [
-0.208567032423215,
1.570796298634827,
-0.49515335572932806,
-0.5987634513077912,
-0.14322643594920906,
1.9846908429612853,
-0.6596876406565997,
1.5707962265194688,
-4.4145772708167875e-8,
-0.2881256931633693,
-0.275070543428923,
0.6878636309125641
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 366 |
b225dc27587691a09940c252e8d9e2d6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [112, 114], "expectation_value": -4.115392791211649, "params": [0.1457, 0.0088, 0.8077000000000001, 0.0039000000000000003, 0.8126, -0.001, 0.7991, -0.0074, 0.8026000000000001, 0.0313, 0.1733, 0.30460000000000004, 0.804, -0.0004, 0.0017000000000000001, -0.3806, 0.1499, -0.00030000000000000003, 0.8055, -0.0043... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.0 * Z(6) + -1.5 * Z(7) + -0.5 * Z(... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10010101", "10001101"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.10078836840969985) q[0];
rz(-0.6063081167241435) q[0];
rx(-2.9953676578084143) q[1];
rz(-0.7513712944965469) q[1];
rx(2.8532691206328256) q[2];
rz(-0.20853006766724302) q[2];
rx(0.2934424509461423) q[3];
rz(0.3883765415771743) q[3];
rx(2.858283094094016) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIIIZII",
"IIZIZIII",
"IIZIIZII",
"IIIZZIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
0,
-1.5,
-0.5,
-1,
-0.5
] | 0.971994 | [
-0.10078836840969985,
-0.46905078319637067,
3.2878176493711724,
-0.6942721923151884,
2.8532691206328256,
-0.04991861866356362,
0.2934424509461423,
0.11716376984017424,
2.858283094094016,
0.05348252620959204,
-0.2105609445328261,
0.07059903367549727,
2.775678194820526,
0.03470956295172528,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 15 |
-2728427003160877860 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4], [3, 4, 5, 7], [0, 1, 6], [0, 4, 5], [0, 1, 2, 7], [1, 2, 5, 7], [0, 1, 5]]} | {"states": [175, 183], "expectation_value": -2.0426061605232713, "params": null, "bitstrings": ["01010000", "01001000"], "total_optimization_steps": 47, "probabilities": [0.036680446463384996, 0.9331359946690662], "optimization_time": 74.23221373558044} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["01001000"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.21064480118030005) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.6639492543236568) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.21064480118030005) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(-0.08905360317384883) q[5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIIIZZ",
"IZIIIIIZ",
"IZIIIIZI",
"IIIIZIII",
"IIIIIZII",
"IIIZIII... | [
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.... | 0.652925 | [
0.21064480118030005,
0.6639492543236568,
-0.08905360317384883,
0.0637851540555502,
0.3420234583740321,
1.2066978350359558,
-0.2074911168101479,
0.21366555310643395,
1.4699599788585258,
1.5209140593219845,
-0.9741858564900887
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 250 |
159cd19d829ee4ab847c9545b38e61cb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [369, 497], "expectation_value": -2.815014422427227, "params": [[[-0.0603, -0.21380000000000002, 0.00030000000000000003, 0.0009000000000000001], [0.6418, -0.17800000000000002, 0.5997, 0.0047], [-0.056900000000000006, 0.1632, 0.0056, 0.1641], [0.9643, 0.0051, 0.9456, 0.0098], [-0.4549, 0.004, 0.0028, 0.0056],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(3) @ Z(5) @ Z(6)) + 0.125 * (Z(1) @ Z(7)... | 12 | 10 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010010100", "1000001110", "0011000110", "1000110100", "0011010100", "1000010101", "1000011100", "0010110100", "0100110100"], "largest_eigenvalue":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5023422340445511) q[0];
ry(-0.1078429799343566) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.4881456839634753) q[2];
h q[3];
ry(1.5290680296283448) q[3];
rz(-pi) q[4];
ry(-0.020911826634736206) q[4];
h q[5];
cx q[5], q[2];
ry(0.4881456839634753) q[2];
cx q[5], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIZZIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIZZIZIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"ZIIIIIIIZI",
"IZZIIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIZI",
"ZIZIIIIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
... | 0.995232 | [
-1.60784788215442,
-1.6238057458678041,
-1.3844327741504878,
1.5290680296283448,
1.5023422340445511,
-0.9762913679269506,
0.6568418144021216,
-0.4563619175761679,
0.6837342847004768,
-0.30196362952333927,
0.2802325564006584,
-0.06699568295955809,
-0.15704114542010444,
0.15024319719377785,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
b5e203e63ec3496219a24352650f6c69 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [171, 122], "expectation_value": -20.80765521702687, "params": [[0.0284, 0.0031000000000000003], [-0.0671, -0.0536]], "bitstrings": ["01010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.008924778331418286, 0.011080709770077857], "optimization_time": 4.419830322265625} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 176.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009690584669794472) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.009690584669794472) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.009690584669794472) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.009690584669794472) q[3];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
10.5,
20,
22,
19.5,
2,
15,
11.5
] | 0.8875 | [
0.009690584669794472,
1.0644495968180745,
-0.37734491307153717,
1.193186640419008,
1.9579187082258482,
1.4566571941238642,
-0.6535126455651429,
1.515482843275194,
0.000008576733867442173,
-0.04239820967421715,
0.6952275252522051,
-0.9506548249804723,
0.8765199536298071,
-0.3900921718370591... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 500 |
17debd478fb0eb69318abace866be76c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 2, "target": 1}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 3, "s... | {"states": [255, 1], "expectation_value": -0.02358994454927528, "params": [[-0.019200000000000002], [0.0085]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0019747000576034847, 0.0019766228365514157], "optimization_time": 2.2839431762695312} | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -2.75 * Z(6) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.75, "smallest_bitstrings": ["111111110", "111111100", "111110100"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.06915174361495136) q[0];
rz(0.23890521070623041) q[0];
rx(-0.08634786474147427) q[1];
rz(0.07731532272459808) q[1];
rx(0.009023755687664295) q[2];
rz(0.05893806675868352) q[2];
rx(-0.08634786474147427) q[3];
rz(-0.054645169334423) q[3];
rx(0.042897660410441574) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IIZIIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"... | [
-0.5,
-0.25,
-1.25,
-0.25,
-1,
-1,
-1.5,
-0.25,
0.75,
-0.25,
-0.75,
-1,
-0.5,
-2.75,
-0.25,
2,
-1.5,
-1,
1.25,
0.5,
0.25,
1.5
] | 0.973604 | [
0.06915174361495136,
0.23890521070623041,
-0.08634786474147427,
0.07731532272459808,
0.009023755687664295,
0.05893806675868352,
-0.054645169334423,
0.042897660410441574,
-0.222373591901531,
-0.2549340189782636,
-0.02083774950216004,
-0.0763540063860347,
-0.05283682700703876,
1.086622724043... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 6 |
540e4dc6cd5ba125f618f28f48205cbe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [14, 46], "expectation_value": -4.273153287407564, "params": [0.075, 0.0712, -0.018000000000000002, -0.0219, 0.2937, 0.2977, -0.0218, -0.020900000000000002, 0.38980000000000004, 0.39490000000000003, 0.3929, 0.39940000000000003, 0.394, 0.39030000000000004, -0.006200000000000001, -0.0051, 0.0719, 0.0746, -0.02... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(2) + -1.0 * Z(0) + -0.5 * Z(3) + -1.5 * Z(7) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(4) | 13 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01110001", "00110101", "11000011", "11010001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027358022598444096) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027358022598444096) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027358022598444096) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.027358022598444096) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IZIIZIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-0.5,
-0.5,
0,
0
] | 0.970087 | [
0.027358022598444096,
-0.4503917049630143,
1.0157258650303829,
-1.1759847829526469,
-1.474408903266772,
-1.7126031515720757,
0.9015076408836524,
-1.1963827420035533,
0.486132884786999,
0.7308189328179706,
-0.0525669333670543,
-1.0515114137203625,
0.17841515765600538,
-0.767218394376632,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 39 |
682f7a8a829894a15c484537f301abdc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [221, 217], "expectation_value": -56.08352827766718, "params": [0.8224, 0.0098, 2.6047000000000002, 0.0018000000000000002, 2.6008, 0.0058000000000000005, 0.7681, 0.0061, 2.5974, 0.0046, 2.6078, 0.0049, 1.5382, 0.0049, 1.5329000000000002, 0.005, 2.5973, 0.0019, 0.0077, 0.0097, 0.0086, 0.0078000000000000005, 0... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(7)) + 1.5 * Z(0) + 12.5 * Z(2) + 19.0 * Z(1) + 21.0 * Z(4) + 1... | 18 | 9 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100110"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.15206348559453936) q[0];
rz(0.3110645398741738) q[0];
rx(0.7193989986977153) q[1];
rz(0.1786163302509175) q[1];
rx(0.904480582958329) q[2];
rz(-0.12357402558203492) q[2];
rx(0.01728362101934565) q[3];
rz(0.23451100674387168) q[3];
rx(0.616481659285241) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZZIIII",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
1.5,
12.5,
19,
21,
12.5,
1,
5,
5,
5.5
] | 0.972898 | [
-0.15206348559453933,
0.3756843958701915,
0.7193989986977153,
0.1786163302509175,
0.904480582958329,
-0.12357402558203492,
0.01728362101934565,
0.23451100674387168,
0.616481659285241,
-0.1670044261284083,
0.8680884550854526,
0.13467201206079218,
0.18193874350549727,
-0.1472543390492699,
... | {
"n_parameters": 104,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 12 |
95278a311ba4c30560050d03ad036416 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [11, 27], "expectation_value": -2.563572832079176, "params": [0.17200000000000001, 0.16920000000000002, -0.0112, -0.011600000000000001, 0.6910000000000001, 0.6803, 0.6545000000000001, 0.6852, 0.227, 0.2033, 0.8024, 0.7963, 0.7973, 0.8014, 0.5028, 0.2994, 0.7981, 0.8, 0.8103, 0.8031, 0.3113, 0.793600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(5) + -0.5 * Z(3) + -0.5 * Z... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -3.5, "smallest_bitstrings": ["1111000101", "0110011101", "1110101010", "0111010101", "1110101100", "1101010101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.35385367954589486) q[0];
rz(pi/2) q[0];
ry(-0.019332564899193765) q[1];
ry(0.05038323892373357) q[2];
ry(0.2640325649840002) q[3];
ry(0.29598530487837943) q[4];
ry(1.4715096560629644) q[5];
ry(1.3928899223322355) q[6];
ry(0.21672288839399323) q[7];
ry(1.5937485673... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IIIZIIZIII",
"ZIIIIIIIZI",
"ZIIIIZIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIIIIZIIII",
"IIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.97488 | [
0.35385367954589486,
-0.019332564899193765,
0.05038323892373357,
0.2640325649840002,
0.29598530487837943,
1.4715096560629644,
1.3928899223322355,
0.21672288839399323,
1.593748567376332,
1.6734524263325639,
0.09168622002585675,
1.5832638335816633,
-1.2919613179728255,
0.3337004513087699,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 61 |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [6, 7], "expectation_value": -6.203899622076002, "params": [[[0.0033, 0.004200000000000001], [0.0026000000000000003, 0.0046], [0.0027, 0.0059], [0.0025, 0.0012000000000000001], [0.0024000000000000002, 0.0013000000000000002], [2.1955, 0.004], [2.6766, 0.0018000000000000002], [-1.6139000000000001, 0.0049]]], "... | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.012185233531157788) q[0];
rz(-0.14371858576511087) q[0];
rx(0.007031030376359929) q[1];
rz(0.2897352875796022) q[1];
rx(0.03703295545914785) q[2];
rz(0.21538689773784236) q[2];
rx(0.018548456488674744) q[3];
rz(0.2631140417298812) q[3];
rx(-0.04106692929657757) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
0.75,
-0.5,
-1.5,
-0.25,
-0.25,
-1,
-1,
-0.5,
-0.5,
-0.25,
-0.25,
-1.25,
0.25,
-0.5,
1,
1.5
] | 0.985377 | [
-0.012185233531157788,
0.16024899196305356,
0.00703103037635993,
0.5162994626624118,
0.03703295545914786,
0.49809845414396875,
0.018548456488674744,
0.6519750213744733,
-0.04106692929657757,
0.5374198011724128,
0.14044029173835149,
0.12062919065026473,
0.705253149582738,
-0.118476525432784... | {
"n_parameters": 89,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 3 |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [29, 35], "expectation_value": -0.686051400839932, "params": [[0.0522, 0.06670000000000001, 0.0524, 0.0748], [-0.0286, -0.0582, -0.0367, -0.055900000000000005]], "bitstrings": ["1100010", "1011100"], "total_optimization_steps": 10, "probabilities": [0.012690659997908933, 0.013066489310342995], "optimization_... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.006599739930172845) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(0.006599739930172845) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(0.006599739930172845) q[2];
cx q[3], q[2];
rz(0.006599739930173154) q[2];
rx(1.52576029632... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IIIZZII",
"ZIIIIIZ",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIZII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.5,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
0,
-0.25,
0.25,
0.5,
-0.5,
0.25,
-0.25
] | 0.896155 | [
0.006599739930172845,
-0.059218668570738146,
0.782628674871177,
-1.5687868123923565,
-1.565222460442388,
-1.5704982977894495,
1.5257602963225112
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 198 |
-5680906425695885737 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 4, 7], [1, 2, 3, 4, 5, 6, 8], [1, 3, 4, 5, 7], [1, 2, 3, 4, 7, 8], [0, 1, 2, 3, 5, 6, 8], [0, 8, 2, 4], [2, 5, 6, 7], [0, 1, 6, 7], [0, 2, 3, 4, 6], [2, 3, 4, 5, 7], [0, 2, 4, 5, 7], [2, 3, 6, 7], [1, 3, 4, 6, 7, 8], [1, 2, 4, 6, 7, 8]]} | {"states": [491, 319], "expectation_value": -2.1023654451658462, "params": [[0.3669], [-0.37070000000000003]], "bitstrings": ["000010100", "011000000"], "total_optimization_steps": 40, "probabilities": [0.008735166734235775, 0.008982844868710073], "optimization_time": 5.074176549911499} | 0.19047619047619047 * (Z(0) @ Z(1)) + 0.2571428571428571 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.11428571428571427 * (Z(2) @ Z(1)) + 0.20714285714285713 * (Z(2) @ Z(0)) + 0.3238095238095237... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.9976190476190476], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.95, "smallest_bitstrings": ["011000000"], "largest_eigenvalue": 13.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.2718312618451884) q[0];
rz(1.2924021545859103) q[0];
rx(0.403254455279722) q[1];
rz(1.5044552117998116) q[1];
rx(0.40174342082690057) q[2];
rz(1.3802503805228428) q[2];
rx(1.1687587544955662) q[3];
rz(1.3944938046076665) q[3];
rx(1.9312817106716738) q[4];
rz(1.6625... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIZIZIII",
"... | [
0.19047619047619047,
0.2571428571428571,
0.26666666666666666,
0.31666666666666665,
0.21666666666666667,
0.3333333333333333,
0.11428571428571427,
0.20714285714285713,
0.32380952380952377,
0.3333333333333333,
0.16428571428571428,
0.07380952380952381,
0.24047619047619045,
0.25,
0.2642857142... | 0.976971 | [
2.2718312618451884,
-0.2783941722089861,
0.40325445527972203,
-0.0663411149950845,
0.40174342082690057,
-0.19054594627205368,
1.1687587544955662,
-0.17630252218722986,
1.9312817106716735,
0.09178555940935595,
1.5176031304865176,
-0.021333025262139718,
1.1781876612695434,
-0.305586910666678... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -2.9976190476190476,
"target_ratio": 0.97,
"target_value": -2.907690476190476
} | 91 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [12, 9], "expectation_value": -0.3219786377234739, "params": [0.3351, 0.1553, 0.32880000000000004, 0.1578, 0.309, 0.1671, 0.2964, 0.1695, 0.2827, 0.1645, 0.28550000000000003, 0.1635, 0.3436, 0.1578, 0.3382, 0.1636, 0.32930000000000004, 0.1723, 0.3075, 0.1731, 0.2817, 0.1855, 0.2232, 0.1859, 0.271400000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 5 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
eb521ac2a763fb3e4b8d4f823a22ed9c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"s... | {"states": [0, 6399], "expectation_value": -14.92154116417436, "params": [-0.19920000000000002, 0.5999, 0.5218, 0.007200000000000001, 0.6944, 0.2248, -0.6262, 0.0067, 0.0015, 1.4851, 0.0013000000000000002, 0.0092, 0.0015, 1.4817, 0.0013000000000000002, 0.0094, -0.004200000000000001, 0.9972000000000001, -0.0021000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(11) @ Z(12)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) +... | 6 | 13 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0011100000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.5661257633081691) q[0];
rz(1.526115236205177) q[0];
rx(1.5865681525138875) q[1];
rz(1.575391350451138) q[1];
rx(0.02717535707581847) q[2];
rz(2.35029148842829) q[2];
rx(0.027175357075818477) q[3];
rz(-2.7600155200731056) q[3];
rx(-0.02783883755033817) q[4];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIZIIIIZI",
"IIIIIIZIIIIIZ",
"IIIIIIIZIIIZI",
"IIIIIIZZIIIII",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"IIZIZIIIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIZZII",
"IIIIIIIIIIIZI",
"IIIIIIIIIIIIZ",
"IIIIIIZIIII... | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-1,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.970772 | [
-0.5661257633081691,
-0.04468109058971921,
1.5865681525138875,
0.00459502365624131,
0.027175357075818474,
0.7794951616333937,
1.9523734603115845,
-0.02783883755033817,
1.8223709448750691,
2.595452304338009,
0.3700667585177105,
3.2935631773481213,
0.40128325545346266,
3.1880184603144155,
... | {
"n_parameters": 62,
"n_qubits": 13,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 305 |
8838725750373529537 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 8, 3, 7], [2, 7], [4, 6]]} | {"states": [485, 497], "expectation_value": -0.745157846124771, "params": [[0.4687], [-0.4166]], "bitstrings": ["000011010", "000001110"], "total_optimization_steps": 50, "probabilities": [0.007082010833627056, 0.007082010833627056], "optimization_time": 1.4962213039398193} | 0.5 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(5) + 0.0 * Z(1) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["001111000", "011000101", "111000100", "001101100", "111010000", "00001101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.33925892631618654) q[1];
h q[2];
ry(-0.33925892631618654) q[2];
h q[3];
ry(-0.1294410969824633) q[3];
cx q[0], q[3];
ry(0.1294410969824633) q[3];
cx q[0], q[3];
ry(0.023273828607879382) q[0];
cx q[3], q[0];
ry(-0.023273828607879382) q[0];
cx q[3], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[8], q[0];
rz(x1) q[0];
cx q[8], q[0];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIIZIIZ",
"ZZIIIIIII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIIIZII",
"IIZIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IZIIIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0,
0,
0.125,
0.125,
0.125,
0.125,
0,
0,
0
] | 0.973353 | [
-0.6785178526323731,
1.2390398353361392,
-0.7251367207714554,
0.8866135314180551,
0.3784383811623363,
-0.4343188676766,
0.417669765295041,
0.5195840264733015,
-0.4715194401619346,
-0.4595886775076336,
-0.3555129553013261,
0.24811645595219736,
0.16439473904814217,
0.05038376563091735,
-0.... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 26 |
75e38f85452ebc08ee898a0ac8b18be5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [469, 399], "expectation_value": -0.05867403861284629, "params": [[-0.0776], [0.0713]], "bitstrings": ["000101010", "001110000"], "total_optimization_steps": 10, "probabilities": [0.0021921722477971214, 0.0021921722477971223], "optimization_time": 9.825129747390747} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -1.375, "smallest_bitstrings": ["000100110", "100000110", "0001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-1.5895904143898432) q[0];
ry(-0.061831462572773416) q[1];
rz(-pi) q[1];
ry(-3.1211665634162276) q[2];
rz(-pi) q[2];
ry(-0.05067198498523348) q[3];
rz(-pi) q[3];
h q[4];
ry(1.4339466124722804) q[4];
cx q[4], q[3];
ry(0.12544642904227837) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIIZ",
"IIZIZIIIZ",
"IIZZIIIIZ",
"IIZZZIIII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.997795 | [
-1.5895904143898432,
-1.4880487849715875,
-1.3946779127673847,
1.4339466124722804,
-0.25089285808455675,
0.23284724829810097,
0.08137959326879629,
-0.04183215850107143
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
fcba12f78dbb04a944afdfe31d032329 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 31.345905780792236} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
16a3f0e7912c5ed5cfa032c0d85156ec | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.4275018561830621, "params": [[0.07100000000000001], [-0.07400000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005203864193952122, 0.005240527638284692], "optimization_time": 2.0371270179748535} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.17232329941521132) q[0];
h q[1];
h q[2];
ry(0.7464664516639088) q[2];
h q[3];
ry(0.7464664516639088) q[3];
h q[4];
ry(1.2364204621977426) q[4];
h q[5];
ry(1.4929329033278176) q[5];
cx q[5], q[2];
ry(-0.7464664516639088) q[2];
cx q[5], q[2];
h q[6];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIZIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIZI"
] | [
-0.25,
-0.75,
-1.5,
-0.5,
-0.5,
-1.75,
0.5,
-0.75,
-0.5,
-0.25,
-1,
0.5,
-0.25,
0.25,
1.5,
-0.5,
-0.25,
-0.25,
-1
] | 0.94919 | [
1.4929329033278176,
1.5802204635152286,
0.8287660673136036,
-0.006786361011339807,
2.472840924395485,
0.34464659883042265,
0.3769747640636233,
-0.4893920067270682,
-0.9833230744965525,
-0.7528240000374548,
-0.06405092881923163,
-2.2431260988694803,
0.6810684091091916,
-0.41384633522050285,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 500 |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.723695973584359, "params": [[[0.0039000000000000003, 0.3546], [0.003, 0.4595], [-0.0005, 0.31270000000000003], [0.0016, 0.45830000000000004], [0.002, 0.4455], [0.6006, 0.0026000000000000003]], [[0.0013000000000000002, 0.3917], [0.0032, 0.45690000000000003], [0.0071, 0.4626], [... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.00277685182702987) q[1];
cx q[2], q[1];
rz(0.0027768518270301357) q[2];
rx(1.5696210211582238) q[2];
h q[3];
cx q[3], q[0];
rz(0.00277685182702987) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.0019952943025770145) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IZZIII",
"IZIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
-0.75,
-0.75,
1,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-0.75,
0.5,
0.5,
0.5
] | 0.735473 | [
0.00277685182702987,
1.1759267912363337e-7,
-0.17998381122439663,
0.0019952943025770145,
1.5707941432274504,
-1.5708341891253215,
1.5696210211582238
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 237 |
d75363653ef00cde7e482c2c3392dff7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [143, 191], "expectation_value": -5.589637543306164, "params": null, "bitstrings": ["101110000", "101000000"], "total_optimization_steps": 77, "probabilities": [0.21364442366040196, 0.6608383547147513], "optimization_time": 138.2932198047638} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21930], "expectation_value": -1.6879467209419459, "params": [[1.3413000000000002, 1.6474, 0.2061, 1.5662, 0.1955, 1.5806, 0.2086, 1.461, 0.24020000000000002, 0.2361, 1.6622000000000001, 0.21960000000000002, 1.5534000000000001, 0.2374, 1.6720000000000002, 0.30610000000000004], [0.23950000000000002, 1.... | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011250000000000001 * (Z(4) @ Z(0)) + 0.00012500000000000003 * (Z(4) @ Z(2)) + -0.0011250000000000001 * (Z(5) @ Z(1)) + 0.00012500000000000003 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.021249999999951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999447, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0119999999998734} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.3928669941292584) q[0];
rz(-0.14397745053709302) q[0];
ry(0.0272914074880476) q[1];
ry(0.6126252575880811) q[2];
ry(0.01178704304983049) q[3];
ry(0.8440338268222962) q[4];
ry(0.5646062996366539) q[5];
ry(0.5820144780263184) q[6];
ry(-0.040131764780526206) q[7];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00025000000000000006,
0.00025000000000000006,
0.25,
-0.0011250000000000001,
0.00012500000000000003,
-0.0011250000000000001,
0.00012500000000000003,
0.25,
-0.0010000000000000002,
-0.0010000000000000002,
0.00012500000000000003,
-0.0010000000000000002,
-0.0010000000000000002,
0.0001... | 0.977706 | [
0.3928669941292584,
0.0272914074880476,
0.6126252575880811,
0.01178704304983049,
0.8440338268222962,
0.5646062996366539,
0.5820144780263184,
-0.040131764780526206,
-0.010281148254005924,
0.6373870539601993,
-0.16168989454588886,
0.5296304800742078,
-0.037295837382054865,
0.4577862531132489... | {
"n_parameters": 186,
"n_qubits": 16,
"optimal_eigenvalue": -2.021249999999955,
"target_ratio": 0.97,
"target_value": -1.9606124999999561
} | 1 |
ab341360a725e6b2f6204b135ea8e845 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [103, 127], "expectation_value": -1.8772216917165911, "params": [[-0.7815000000000001, 0.0009000000000000001, -0.0057, 0.658, 0.3794, -0.0043, 0.0033, -0.7785000000000001], [0.0025, -0.0024000000000000002, -0.0037, 0.0015, 0.0027, -0.0011, -0.004, 0.001], [0.7741, -0.002, -0.0071, 0.8001, 0.8032, 0.0016, 0.0... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 9 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3616489854973577) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.06786389583435384) q[1];
cx q[4], q[1];
h q[5];
cx q[4], q[5];
rz(-0.06786389583435384) q[5];
cx q[4], q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(0.08036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-0.5,
1,
-0.25,
-0.75,
0.5,
-0.25,
0,
0,
0.5,
-0.75,
0.5,
-0.5
] | 0.85084 | [
-0.3616489854973577,
-0.06786389583435384,
0.08036266502885292,
0.014122342550911144,
-0.06025999169762382,
-2.122194135643358,
-0.9339622963225644,
1.2077324071539282,
0.505924878081681,
0.09722562124955719,
0.20834114901752002,
0.03267940985594221,
-1.292535824377209,
1.3866019892713894,... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
bbfb0a1a7359c540a9c3b0eb822e4910 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [260, 324], "expectation_value": -11.04835990523416, "params": [[[0.6227, 0.0016], [1.6865, 0.0051], [0.0019, 0.0056], [1.596, 0.0051], [0.2556, 0.0027], [0.0016, 0.0001], [0.0015, 0.0064], [1.8075, 0.0063], [0.002, 0.0077], [0.1864, 0.0024000000000000002]]], "bitstrings": ["1011111011", "1010111011"], "tota... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["0111011110", "1010111011"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.19745904939476885) q[0];
rz(0.20581582851557106) q[0];
rx(2.618849834697092) q[1];
rz(-0.3176521533939225) q[1];
rx(-0.04056917178342613) q[2];
rz(-0.03826871959528548) q[2];
rx(2.884423943765561) q[3];
rz(-0.3176521533939225) q[3];
rx(-0.03777964160015473) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IZIIIIZIII",
"IZIIZIIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"ZIIZIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
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-2.5,
-2,
-3,
-1.5,
-2.5,
-3.5,
-2.5,
-2.5,
-2,
-2
] | 0.976721 | [
0.19745904939476885,
0.20581582851557106,
2.618849834697092,
-0.3176521533939225,
-0.04056917178342613,
-0.03826871959528548,
2.884423943765561,
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-0.08155878475355846,
-0.17692982509359695,
-0.301401433818669,
2.4375845423880675,
0.1183399904467006... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 11 |
b3430a7a5a7846c97441f35820d47c84 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [3386, 3450], "expectation_value": -2.7025694705237187, "params": [0.49760000000000004, 0.008400000000000001, 0.5025000000000001, 0.0067, 0.4979, -0.0031000000000000003, 0.5029, 0.0006000000000000001, 0.0944, 0.1998, 0.08710000000000001, 0.1998, 0.4939, 0.0587, 0.4979, 0.0263, 0.09040000000000001, 0.2099, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 7 | 12 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 32, "first_excited_energy": -2.5, "smallest_bitstrings": ["11000100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIIIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.... | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
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0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [413, 427], "expectation_value": -0.14294672116135537, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["001100010", "001010100"], "total_optimization_steps": 10, "probabilities": [0.002102621981492387, 0.002102621981492387], "optimization_time": 3.4413206577301025} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["100010001", "010001100", "001100010", "100001010", "010100001", "001010100"], "largest_eigenvalue": 15.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
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0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
b6acc179a4a15da3d535b4a626064489 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -0.6464550918027965, "params": [[-0.0828], [0.0743]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01082309798403437, 0.011017739659801153], "optimization_time": 3.9821126461029053} | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3034667748162365) q[0];
ry(-0.07442258432305349) q[1];
ry(0.0687231461191891) q[2];
ry(-0.05385852511325843) q[3];
ry(0.147646440418712) q[4];
ry(0.147646440418712) q[5];
ry(-0.01142159409353806) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IIIIZZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IIIZIZI",
"IIZZIII",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.5,
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-1,
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-0.75,
0.75,
-1.25,
-0.5,
-0.25,
-1.25,
-1.5,
-0.75,
-0.25,
1.25,
1,
-0.25,
-2.5,
1.5
] | 0.974572 | [
0.3034667748162365,
-0.07442258432305349,
0.0687231461191891,
-0.05385852511325843,
0.147646440418712,
-0.01142159409353806,
0.07066125296599378,
0.042559931842685965,
-0.013597990498522415,
-0.042688937240018016,
-0.02389108747559633,
-0.016411155865240244,
-0.14788340467558186,
-0.188696... | {
"n_parameters": 49,
"n_qubits": 7,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 39 |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 12], "expectation_value": -0.7068356314149072, "params": [[-0.0786, -0.0805], [0.0716, 0.0755]], "bitstrings": ["111100", "110011"], "total_optimization_steps": 10, "probabilities": [0.021572381126765218, 0.021572381126765235], "optimization_time": 2.8281805515289307} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
-7074426657992859023 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 1, 2], [3, 5], [0, 1, 4, 6], [4, 7]]} | {"states": [199, 211], "expectation_value": -0.6987917675935102, "params": [[-0.35900000000000004], [0.364]], "bitstrings": ["00111000", "00101100"], "total_optimization_steps": 40, "probabilities": [0.012673045815315429, 0.012673045815315429], "optimization_time": 1.3523876667022705} | 0.5 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9999999999999996, "smallest_bitstrings": ["00111000", "00101100"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(-1.5707963040510105) q[3];
cx q[5], q[3];
rz(-6.853572775966654e-08) q[3];
rx(0.8107759334828544) q[3];
rz(-6.853572775966654e-08) q[5];
rx(0.8107759334828544) q[5];
h q[6];
cx q[6], q[2];
rz(-1.570796304... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[2];
rz(x0) q[2];
cx q[6],... | null | {"circuits": [], "gradients": []} | [
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZIZ",
"IZIIIIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IIZIZIII",
"IZIZIIII",
"IIIZIIIZ",
"IIIZIIZI",
"ZIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.1250000000000001,
0.16666666666666663,
0.29166666666666674,
0.29166666666666674,
0,
0,
0.125,
0
] | 0.858979 | [
-1.5707963040510105,
-4.318840661938737e-8,
3.5083855860306035e-8,
-3.3783515973014063e-7,
6.086297799723945e-9,
-1.5707959249833034,
-6.853572785849982e-8,
0.8107759334828544
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 239 |
3c9c101d3ca31818a58dc6d661f912ad | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -14.148005229503223, "params": [0.0015, 0.1534, 0.0014, 0.15180000000000002, 0.0058000000000000005, 0.1272, 0.0018000000000000002, 0.15610000000000002, -0.0009000000000000001, 0.12350000000000001, 0.0058000000000000005, 0.15940000000000001, 0.0021000000000000003, 0.16090000000000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.31081255288526993) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.44775948561421924) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.31081255288526993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[7];
rz(0.22063... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIIZI",
"IZIIIIIIIZ",
"IIIIIZIIZI",
"IIZIIZIIII",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII",
"ZIIIIIIIIZ"... | [
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-1,
-0.75,
-0.25,
-0.25,
1.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
1,
1.25,
1.5,
1
] | 0.503137 | [
0.31081255288526993,
0.44775948561421924,
0.22063233377674676,
0.8391716738578886,
-0.370649658042186,
1.1956849244237249,
-0.2635388681014347,
0.12082703265010854,
-1.408452584750217,
1.1289956896569686
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 277 |
b2c25a19a038d07471a5450910ba4971 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [2, 3], "expectation_value": -4.3350456588334705, "params": [[[0.2434, 0.21050000000000002], [0.26940000000000003, -0.1885], [0.1023, -0.2924], [0.6865, 0.0], [0.5834, -0.0005]], [[0.23850000000000002, 0.2106], [0.2662, 0.19], [0.1022, -0.2923], [0.6869000000000001, 0.0], [0.5783, -0.0005]], [[0.239700000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"IZIZI",
"IZIIZ",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
1.75,
-2.5,
-2.5,
-2.75,
-2.5,
-2.25
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
410a620476bb1ab89428221268021245 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [12, 72], "expectation_value": -6.411631293735966, "params": null, "bitstrings": ["1110011", "0110111"], "total_optimization_steps": 20, "probabilities": [0.0601264549783317, 0.788819012488134], "optimization_time": 20.66272783279419} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.525316287080557) q[1];
h q[2];
ry(-0.4635246956282743) q[2];
h q[3];
cx q[3], q[2];
ry(0.4635246956282743) q[2];
cx q[3], q[2];
ry(-0.7097453387884464) q[2];
ry(0.7841495963456939) q[3];
h q[4];
ry(-0.4635246956282743) q[4];
cx q[0], q[4];
ry(0.463... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-2,
-2.5,
-1.5,
-1
] | 0.990361 | [
-1.525316287080557,
-1.6516093367694655,
-0.9270493912565486,
0.7841495963456939,
-0.551144413376185,
0.530091856908911,
0.5655279925104985,
-0.31720185082452274,
-0.42736748625662185,
0.05151037849362506,
-0.0336782670524875,
0.0448106142806983,
-0.017479746617684006
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
d6991d057b315b177a32f1a4a2aac75c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [82, 26], "expectation_value": -1.1832724969001744, "params": [[0.0631, 0.0649, 0.0829], [-0.0625, -0.0507, -0.0756]], "bitstrings": ["0101101", "1100101"], "total_optimization_steps": 10, "probabilities": [0.013746256977673047, 0.013746256977673055], "optimization_time": 4.627152919769287} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -2.0 * Z(4) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111100", "1100101", "1110100", "0101101", "1011100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.8721926881825792) q[0];
rz(pi/2) q[0];
ry(0.011994780182612724) q[1];
ry(1.8959561267241176) q[2];
ry(1.622167989491603) q[3];
ry(1.936090818574434) q[4];
ry(1.7222393404414162) q[5];
ry(1.7301073604748325) q[6];
ry(-0.5782804483051742) q[7];
ry(1.405056998412797... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZZIII",
"IIIIZZI",
"IIZIZII",
"ZIIIZII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-2,
-1,
0,
0
] | 0.977666 | [
-0.8721926881825792,
0.011994780182612724,
1.8959561267241176,
1.622167989491603,
1.936090818574434,
1.7222393404414162,
1.7301073604748325,
-0.5782804483051742,
1.4050569984127974,
-0.07157364265413833,
-0.009412620610943542,
0.06943085401228247,
1.0178640686710358,
0.0472153602388203,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -3.9375,
"target_ratio": 0.97,
"target_value": -3.819375
} | 48 |
348c13052b9cd507aa792296e385f0a4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 14.95491909980774} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.06478935654218318) q[0];
rz(0.010473094700834906) q[0];
rx(-0.21029945099044114) q[1];
rz(0.36193904458961335) q[1];
rx(-0.12407138095515016) q[2];
rz(0.046088532858524545) q[2];
rx(0.1874119633339978) q[3];
rz(0.35704809683533245) q[3];
rx(-0.0838195345979585) q[4... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"ZIIIIZI",
"ZIIIIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-1,
-1,
-0.75,
-0.5,
2,
-1,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0.75,
1.5,
-1,
-0.5,
-0.25
] | 0.979758 | [
0.06478935654218318,
0.20218073164039307,
-0.21029945099044114,
0.4704675727431508,
-0.12407138095515018,
0.33009272048242233,
0.18741196333399776,
0.12867352073879185,
-0.08381953459795849,
-0.28813328048276804,
0.29408685795202144,
-0.42763869643912095,
0.9971024611824714,
0.068911216138... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 8 |
fb3661142d8e003905bb73659b60c8ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [1227, 1243], "expectation_value": -3.2209666098673284, "params": [0.5259, 0.5156000000000001, 0.0007, 0.0035, -0.0089, -0.0054, 0.5312, 0.5329, 0.5353, 0.5325, 0.060500000000000005, 0.06420000000000001, 0.3134, 0.3113, 0.5195000000000001, 0.5222, -0.006900000000000001, -0.0088, 0.5246000000000001, 0.5166000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(2) @ Z(8)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(4) @ Z(8)) + 0.125 * (Z(7) @ Z(8)) + -0.125 * (Z(4) @ Z(2) @ Z(7)) + ... | 13 | 11 | 3 | {"smallest_eigenvalues": [-3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625, -3.65625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.65625, "smallest_bitstrings": ["10100010001", "01010010100", "10100010100", "01100100100", "01010100100", "01101000001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25592938562548495) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.25592938562548495) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.25592938562548495) q[1];
cx q[4], q[1];
cx q[4], q[3];
rz(0.2559293... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIZZZIIII",
"IIIIIIZIZII",
"IIIZIIIIZII",
"IIZIIIIIZII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IIIZIIZIZII",
"IIZIIIZIZII",
"IIZZIIIIZII",
"IIZZIIZIIII",
"IIZZIIZIZII",
"IIIIIIIZIIZ",
"IIIIIZIII... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-... | 0.924739 | [
0.25592938562548495,
-1.5262981736065109,
0.803276814258165,
-0.9817149154994218,
-1.20387662858185,
1.0070577492345878,
-0.24407988242893283,
0.37746613333560075,
1.1791296031035432,
0.026527124002056205,
-0.045266137886553835,
-2.4191350823878968,
-1.8592558869391052,
-0.305400682481034,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 500 |
e25375c2d0d05abe9c971ec0baf3e172 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [430, 174], "expectation_value": -11.06692496024283, "params": [[0.043000000000000003], [-0.0704]], "bitstrings": ["001010001", "101010001"], "total_optimization_steps": 10, "probabilities": [0.0041110939667076225, 0.004713016680976974], "optimization_time": 2.0490198135375977} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["101010001"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03647124023203946) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.03647124023203946) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.03647124023203946) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.03647124023203946) q[2];
cx q[3], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
5,
19,
0.5,
12,
1.5,
10.5,
18.5,
13.5
] | 0.979 | [
0.03647124023203946,
-1.2602974117383017,
1.3678611630905495,
-1.998558470278126,
1.713335776392386,
-1.121822327648916,
1.0818828836411878,
1.0640927633214456,
-1.94371647612563,
-2.0304218369801186,
1.3305714371003177,
-0.04474952181751145,
-0.25249714443591875,
0.4847442706154663,
0.7... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 71 |
f15718e6d4296c5c025e3fcbce33b7f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [216, 184], "expectation_value": -3.6008512561330077, "params": [0.6681, 0.47290000000000004, 0.6341, 0.0058000000000000005, 0.8079000000000001, 0.4511, 0.7995, 0.0038, 0.8027000000000001, 0.3971, 0.7919, 0.0077, 0.7992, 0.5193, 0.7998000000000001, 0.0055000000000000005, 0.8087000000000001, -0.0016, 0.8085, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(7) + ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["101010011", "100110011", "101000111", "011000111", "010100111", "100100111", "110110001"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.20160644853656157) q[0];
rz(-0.0588750856899241) q[0];
ry(0.9967511972665292) q[1];
ry(0.6331741581808028) q[2];
ry(0.31168246705772396) q[3];
ry(0.6842261289706837) q[4];
ry(0.9155427382050754) q[5];
ry(-0.2334276068884334) q[6];
ry(-0.22993636919363894) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IIIIIZZII",
"ZIZIIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1.5,
-1,
-0.5,
-1.5,
-0.5,
0
] | 0.974683 | [
0.20160644853656157,
0.9967511972665292,
0.6331741581808028,
0.31168246705772396,
0.6842261289706837,
0.9155427382050754,
-0.2334276068884334,
-0.22993636919363894,
0.03896689465705784,
-0.1177501713798482,
-0.29622975370502386,
0.015496629170842983,
-0.26585297703025684,
0.073930646034441... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
f50060a2166415b4f3de446312c96142 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"s... | {"states": [0, 8191], "expectation_value": -41.67722684843049, "params": [[[-0.0023, 1.6031], [0.0019, 0.002], [0.0019, 0.002], [0.0021000000000000003, 0.0019], [0.0017000000000000001, 0.0019], [0.0018000000000000002, 0.0019], [-0.003, 0.0022], [0.002, 0.0027], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.... | -2.5 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -2.5 ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-47.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.13727425283191674) q[0];
ry(-0.02790179700251271) q[1];
ry(-0.02790179700251271) q[2];
ry(-0.06708865907277622) q[3];
ry(-0.16110483694310032) q[4];
ry(0.06742928145513899) q[5];
ry(-0.03306075085700584) q[6];
ry(0.052445067142848426) q[7];
ry(-0.06708865907277622... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2]... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIZI",
"IIIIIIZIIIZII",
"IIIIIIZIIIIIZ",
"IIIIIIZIIZIII",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIZIII",
"IIIIIIIZIIIZI",
"IIIIIIZZIII... | [
-2.5,
1,
-3,
-3,
1,
-3,
0.5,
0.5,
-2.5,
-2.5,
-2,
0.5,
0.5,
0.5,
-2.5,
1,
-2,
-2.5,
-3.5,
-3,
1,
-3,
-3,
0.5,
1,
-3,
-2.5,
0.5,
1,
-3,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5
] | 0.974759 | [
0.13727425283191674,
-0.02790179700251271,
-0.06708865907277622,
-0.16110483694310032,
0.06742928145513899,
-0.03306075085700584,
0.052445067142848426,
-0.1445384878345728,
2.73697950645542,
0.008681649565981817,
-0.0634581129261643
] | {
"n_parameters": 11,
"n_qubits": 13,
"optimal_eigenvalue": -47,
"target_ratio": 0.97,
"target_value": -45.589999999999996
} | 19 |
9e72b7dd0d69a46b7f007aaed5517323 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 5, "target": 3}]} | {"states": [28, 7], "expectation_value": -1.6979388665725605, "params": [[0.0558, 0.0216], [-0.0504, -0.026000000000000002]], "bitstrings": ["100011", "111000"], "total_optimization_steps": 10, "probabilities": [0.0197333095333666, 0.020208742899256164], "optimization_time": 3.679422378540039} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.25,
-0.5,
-0.25
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
61fda57ae3beee34bc4af23d3aff7d8b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 8}, {"weight":... | {"states": [437, 436], "expectation_value": -91.05988533693734, "params": [0.043300000000000005, 0.1917, 0.0429, 0.1918, 0.3917, 0.056100000000000004, 0.395, 0.0268, 0.3916, -0.0038, 0.3909, -0.0012000000000000001, 0.051800000000000006, 0.1676, 0.048400000000000006, 0.16740000000000002, 0.38780000000000003, 0.014700000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(5)) + 7.0 * Z(1) + 1.0 * Z(0) + 14.5 * Z(2) + 19.0 * Z(4) + 1.... | 7 | 10 | 4 | {"smallest_eigenvalues": [-100.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["1001001011"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.013941758659836018) q[0];
rz(0.4706613523609722) q[0];
rx(0.32209447538825997) q[1];
rz(0.12801915207717107) q[1];
cx q[1], q[0];
rz(-0.0562814304915184) q[0];
cx q[1], q[0];
rz(1.0611549039692783) q[0];
ry(0.13506025938460878) q[0];
rz(-0.29381298233511055) q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
7,
1,
14.5,
19,
1,
15.5,
2.5,
7,
-4,
6.5
] | 0.976511 | [
-0.013941758659836018,
0.41437992186945327,
0.32209447538825997,
0.12801915207717107,
0.29942830294817385,
-0.1386692317367795,
-0.032613931097350224,
0.3153614015533564,
0.4281108690321902,
0.07333950842386,
0.5197564407435457,
-0.03463954488526683,
0.18697896089688154,
-0.223119692114616... | {
"n_parameters": 176,
"n_qubits": 10,
"optimal_eigenvalue": -100,
"target_ratio": 0.97,
"target_value": -97
} | 7 |
-1414922549263232579 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [1, 6], [5, 7], [3, 4], [0, 3], [4, 6], [2, 4], [8, 1], [5, 6], [6, 7], [3, 5], [8, 7], [1, 2], [2, 5], [3, 6], [1, 7], [8, 0], [1, 3], [8, 2], [1, 4], [8, 5], [0, 4], [2, 3]]} | {"states": [458, 456], "expectation_value": -3.883216825257002, "params": null, "bitstrings": ["000110101", "000110111"], "total_optimization_steps": 81, "probabilities": [0.21092777176008964, 0.5686016057430411], "optimization_time": 179.53345489501953} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110011", "110001100", "111001010", "111001000", "000110111", "000110101", "111001100", "000110011"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05676561483452835) q[0];
rz(-0.4306765531101382) q[0];
rx(0.07029199665228401) q[1];
rz(0.07640066565582782) q[1];
rx(0.15032344096059136) q[2];
rz(1.2772152307583777) q[2];
rx(1.5926988011060197) q[3];
rz(-0.11210872905434721) q[3];
rx(2.156080419570045) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIZIIIZII",
"IIZIIIIZI",
"IIIIIIZZI",
"IIZZIIIII",
"IIIZIIZII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIZIIZIII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIIZIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97096 | [
0.05676561483452835,
-0.1521515152976201,
0.07029199665228401,
-0.1464373381646895,
0.15032344096059136,
1.1524312081894987,
1.5926988011060197,
-0.13357895869594402,
2.156080419570045,
0.26557749725664404,
0.16331319675510486,
0.016363013521905362,
2.1415822174893258,
-0.6445127704647975,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 72 |
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