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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1d36f605f450bd24c53bed4c61ab6422 | max_flow | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [38815, 47007], "expectation_value": -19.165916239921003, "params": [1.0142, 0.0339, -0.0037, 1.222, 0.5868, 0.9111, 1.2044000000000001, -0.1448, 0.35000000000000003, -1.0391000000000001, 1.4122000000000001, -0.2726, 1.077, 0.0073, 0.8209000000000001, 0.0538, 1.062, -0.0374, -0.003, -1.2371, 0.16620000000000... | -0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(11) @ Z(3)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(6... | 3 | 16 | 3 | {"smallest_eigenvalues": [-19.166666666666586], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.166666666666583, "smallest_bitstrings": ["0100100001100000"], "largest_eigenvalue": 57.50000000000002} | 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(-0.44173747837386507) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.44173747837386507) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.005603409297500889) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.005603409297500889) q[2];
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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIIZIII",
"IIIIZIIIIIIIZIII",
"IIIIZZIIIIIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIZIIIIIZIIII",
"IIIIZIIIIIIZIIII",
"IIIIIIIIIIZIZIII",
"IIIIIZIIIIZIIIII",
"IIIIZIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIII... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.970536 | [
-0.44173747837386507,
0.005603409297500889,
0.05836178307980425,
-1.201402489306377,
-0.9317048549953064,
0.7320633774444789,
0.772973794919639,
-1.6652911638748984,
-0.7518283058778058,
0.06520245980832098,
0.12228192436712314,
-0.10637680738364871,
-0.2779417698846335,
1.5718265483768925... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 91 |
-8634747951560216277 | hypermaxcut | vqe | {"nodes": [0, 1, 2], "hyperedges": [[0, 2], [1, 2]]} | {"states": [2, 6], "expectation_value": -0.49977833717006237, "params": [[[1.5825, 0.0018000000000000002, 0.0006000000000000001, 0.0027], [1.5834000000000001, -0.0019, 1.5854000000000001, 0.0039000000000000003], [1.5704, 0.0034000000000000002, 0.006500000000000001, 0.0037]]], "bitstrings": ["101", "001"], "total_optimi... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 11 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "001"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-0.440417733660341) q[2];
cx q[1], q[2];
ry(0.440417733660341) q[2];
cx q[1], q[2];
ry(-0.2664008506021484) q[2];
cx q[0], q[2];
ry(0.2664008506021484) q[2];
cx q[0], q[2];
ry(1.5179207901296758) q[1];
ry(0.7238748902976988) q[0];
cx q[1], q[0... | 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[3] c;
qubit[3] q;
ry(x0) q[0];
rz(x1) q[0];
ry(x2) q[1];
rz(x3) q[1];
ry(x4) q[2];
rz(x5) q[2];
cx q[1], q[0];
ry(x6) ... | null | {"circuits": [], "gradients": []} | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
0,
0,
0
] | 0.985379 | [
-0.880835467320682,
1.5179207901296758,
-0.5328017012042968,
1.4477497805953976,
0.11302536243828123,
-0.8265195291243941,
0.21007196722240157,
-1.314017585394491,
-0.6355515021536713
] | {
"n_parameters": 9,
"n_qubits": 3,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 10 |
-282258588457697216 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [0, 4, 5, 6, 7], [0, 1, 2]]} | {"states": [166, 167], "expectation_value": -0.9046108114109822, "params": null, "bitstrings": ["01011001", "01011000"], "total_optimization_steps": 61, "probabilities": [0.10213776712317282, 0.11618470106424694], "optimization_time": 79.65374541282654} | 0.5 * (Z(3) @ Z(5)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(4) @ Z(5)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.0333333333333334, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.333238640623133) q[0];
h q[1];
ry(-0.389032982043109) q[1];
h q[2];
cx q[2], q[1];
ry(0.389032982043109) q[1];
cx q[2], q[1];
ry(-0.3201956836485919) q[2];
cx q[1], q[2];
ry(0.3201956836485919) q[2];
cx q[1], q[2];
h q[3];
ry(-0.4533634943442684) q[3];
h q[... | 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(1.0792) 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[... | [
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIZIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IZIZIIII",
"ZIZIIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII"
] | [
0.5,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1000000000000002,
0,
0.26666666666666666,
0.1,
0.1,
0.1,
0.16666666666666666,
0.16666666666666666
] | 0.970518 | [
1.333238640623133,
-0.9067269886885369,
1.0862359117927693,
-0.8451965220233972,
0.5386462989543799,
-0.29065964676514994,
0.13646728071083908,
-0.778065964086218,
-0.6403913672971838,
0.08379519501340202,
0.5171622945505753,
-0.14054362761381908,
0.00974663814764485,
0.5236314414629744,
... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -1.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.0023333333333335
} | 27 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.08534452905223587, "params": [[-0.0413, -0.043000000000000003, 0.023200000000000002], [0.049, 0.056600000000000004, 0.0089]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.06973794603284134, 0.06973794603284136], "optimization_time": 1.44... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
3469748cd4dcce50adb557c4a78b9b74 | 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": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [591, 583], "expectation_value": -100.84782724867284, "params": [0.0029000000000000002, 0.005, 2.5946000000000002, 0.0056, -0.0028, 0.007, 1.1588, 0.009600000000000001, 2.6094, 0.0082, -0.0018000000000000002, 0.0049, 0.0025, 0.0061, 1.4858, 0.0082, 2.5858000000000003, 0.0015, 2.6003000000000003, 0.0074, 2.60... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(2) @ Z(10)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(0) + 15.0 * Z(1) + 4.5 * Z(3) + 14.0 * Z(4)... | 18 | 11 | 1 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["10110111000"], "largest_eigenvalue": 196.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3728648896602097) q[0];
rz(1.6041763272347556) q[0];
rx(0.7430728840807483) q[1];
rz(1.7428345195219261) q[1];
rx(0.20089593646852397) q[2];
rz(1.91662308169641) q[2];
rx(0.2723250866690023) q[3];
rz(1.3071077027400984) q[3];
rx(0.9661669078005948) q[4];
rz(1.2687... | 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], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIIIIZII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-5,
15,
4.5,
14,
-3.5,
13.5,
10.5,
24.5,
-4.5,
16,
-15
] | 0.974668 | [
0.37286488966020964,
0.0333800004398585,
0.7430728840807483,
0.17203819272702944,
0.20089593646852397,
0.34582675490151327,
0.27232508666900224,
-0.2636886240547981,
0.9661669078005948,
-0.30201211337804756,
-0.007642489043116582,
-0.3183108817157606,
0.2110367655777811,
0.4651881161157343... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -128,
"target_ratio": 0.97,
"target_value": -124.16
} | 19 |
8935544885882604225 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [3, 6, 7], [1, 3, 5, 6], [2, 5, 6, 7], [1, 5, 6, 7], [1, 3, 4, 5], [0, 7], [0, 1, 2, 5], [0, 1, 2, 6], [3, 4, 5, 6], [1, 3, 7], [0, 4, 6]]} | {"states": [182, 79], "expectation_value": -1.7544915628108206, "params": [[0.37320000000000003], [-0.371]], "bitstrings": ["01001001", "10110000"], "total_optimization_steps": 40, "probabilities": [0.018315614186679968, 0.019514086367446663], "optimization_time": 2.1833908557891846} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.1666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2499999999999996, "smallest_bitstrings": ["10110000"], "largest_eigenvalue": 11.0} | 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[2];
rz(1.8234765491907463) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(1.897937275908049e-08) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(2.0803827987817e-08) q[6];
cx q[4], q[6];
cx q[2], q[6];
cx q[4], 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[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIIZZIII",
"IZIZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIIZIII",
"ZZIIIIII",
"IIIZIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIZII",
"IIZIZIII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIIZI",
"IIIZIIIZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIII... | [
0.5,
0.16666666666666666,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.3333333333333333,
0.1666... | 0.839062 | [
1.8234765491907463,
1.897937275908049e-8,
2.0803827987817e-8,
-2.512576465786703e-8,
5.773449121842257e-8,
1.5707962385745469,
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1.5707962237716464,
-1.570796525949319,
1.5707964346241345,
1.570796313811044,
-1.5707963706682526
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -3.3333333333333335,
"target_ratio": 0.97,
"target_value": -3.2333333333333334
} | 323 |
2c6adc04456c07f756e946e604f895a5 | connected_components | adaptive_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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [62, 254], "expectation_value": -10.075362482690357, "params": null, "bitstrings": ["11000001", "00000001"], "total_optimization_steps": 100, "probabilities": [0.09507378988065254, 0.38489417358159017], "optimization_time": 208.65604305267334} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6633611492906473) q[0];
cx q[1], q[0];
rz(0.0992925666019886) q[0];
rx(1.0044258151940728) q[0];
rz(0.0992925666019886) q[1];
rx(1.0044258151940728) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.6057287624148863) q[2];
cx q[3], q[2];
h q[... | null | {"node": 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[6], q[2];\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... | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1,
-2.5,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2,
-2.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.547218 | [
1.6633611492906473,
0.6057287624148863,
0.7800116243778195,
0.09929256660198826,
1.5707962322533187,
1.0044258151940728
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 171 |
6206337d7d1967e1d98c4b708b2f9aeb | edge_cover | vqe | {"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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1717, 1719], "expectation_value": -3.228598644042176, "params": [1.5763, -0.006500000000000001, 1.6069, 0.45980000000000004, 0.057600000000000005, 0.9025000000000001, 1.4481000000000002, -0.4667, 0.28700000000000003, -0.8389000000000001, 1.6953, -0.0218, 1.5772000000000002, 0.325, -0.0058000000000000005, 0.... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 18 | 11 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-3.104597454054124) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.53500557433382) q[1];
h q[2];
ry(1.4439796999895051) q[2];
cx q[2], q[0];
ry(-0.09228340053169692) q[0];
cx q[2], q[0];
ry(0.12874566237956261) q[2];
h q[3];
ry(1.4415177267275305) q[3];
h q[4];
ry(-1.535005574333... | 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
0.5,
0.25,... | 0.993942 | [
-1.53500557433382,
-1.4376074027751256,
1.4439796999895051,
1.4415177267275305,
0.0014514087102965867,
0.18456680106339385,
0.15085650241299106,
0.25749132475912523,
-0.0014710015415432699,
-0.07056259980137612,
0.21107059744399434,
-0.014355156257897916
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
cb943fcd43d9f749780630b91be79506 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [199, 223], "expectation_value": -7.371789026401859, "params": null, "bitstrings": ["100111000", "100100000"], "total_optimization_steps": 100, "probabilities": [0.12621701500811097, 0.5246779241019593], "optimization_time": 224.5887794494629} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
ry(... | 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[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];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 20.744800806045532} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.8012111076319184) q[0];
ry(-2.800432370667173) q[1];
rz(-pi) q[1];
h q[2];
cx q[2], q[0];
ry(0.8012111076319184) q[0];
cx q[2], q[0];
ry(-0.6297922003853687) q[0];
ry(0.47256397378589904) q[2];
h q[3];
ry(0.902684951569005) q[3];
ry(-2.539634315256677) q[4... | 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[2];\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... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
0
] | 0.97092 | [
-1.3534878512218063,
1.5980321926942207,
-0.5087559348189883,
0.902684951569005,
1.049840712772453,
-1.6024222152638368,
0.3595906621996474,
0.7061982879717381,
-1.2595844007707373,
0.9451279475717981,
-1.8637580935742109,
1.102091920108346,
0.5252794009800849,
0.16113765377932213,
0.424... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 63 |
5974ecf02555173ea2b0dd161261d402 | 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": 2}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"sour... | {"states": [73, 201], "expectation_value": -2.5067716581218265, "params": [0.39390000000000003, 0.3937, 0.3981, 0.3886, 0.3975, 0.397, -0.0022, 0.0016, 0.0438, 0.0506, 0.397, 0.39380000000000004, 0.39280000000000004, 0.39640000000000003, 0.38780000000000003, 0.3914, 0.404, 0.4057, 0.3879, 0.38930000000000003, 0.3927, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(7) + 0.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + 0.0 * Z(8) + -1.0 ... | 13 | 9 | 2 | {"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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101110", "001010111", "001001111", "011110100", "001110110", "110111000", "100110110", "001111010", "100111010", "110110100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06776556988259472) q[0];
rz(0.04257194043507882) q[0];
ry(-0.3291880287786184) q[1];
ry(1.0839455937068916) q[2];
ry(0.4359315885546138) q[3];
ry(-0.13075580251614582) q[4];
ry(0.7105287194179813) q[5];
ry(0.5716969738176076) q[6];
ry(0.6469050578021498) 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": []} | [
"IIIIIIZIZ",
"IZIIIIIZI",
"IIIIIZZII",
"IZIIIZIII",
"IIZIIZIII",
"ZIIIIZIII",
"IZIIZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"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,
-1,
0,
-1.5,
-1,
0,
-1,
-0.5
] | 0.972991 | [
-0.06776556988259472,
-0.3291880287786184,
1.0839455937068916,
0.4359315885546138,
-0.13075580251614582,
0.7105287194179813,
0.5716969738176076,
0.6469050578021498,
0.7507747618851734,
0.08514388087015765,
-0.25249380710324876,
0.06282337944690305,
0.6000438261883908,
-0.26858910090232385,... | {
"n_parameters": 69,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 26 |
1662930754262246553 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 5, 10], [1, 3], [1, 2], [6, 7], [8, 6], [9, 7], [2, 11]]} | {"states": [2809, 2777], "expectation_value": -2.7017900630380134, "params": [1.2364000000000002, 0.8437, 0.19, 0.1867, 1.0075, 0.7843, 0.2326, 0.2223, 1.3525, 1.3556000000000001, 1.3997000000000002, 1.4011, 0.7777000000000001, 0.7807000000000001, 1.2912000000000001, 1.1933, 1.3677000000000001, 1.365, 0.184800000000000... | 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.1714684453633544) q[0];
rz(-0.013048619247414406) q[0];
ry(-0.22565601489251116) q[1];
ry(0.8734553569620133) q[2];
ry(0.10631804504957923) q[3];
ry(1.461870865722246) q[4];
ry(1.5319565875907153) q[5];
ry(0.7624314261961992) q[6];
ry(1.354129609751647) q[7];
ry(1... | 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": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIIZIZIIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIIZIIIZI",
"IIIIIIIZIIZI",
"IIZZIIIIIIII",
"IZIZIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIZZIII",
"IIIIIIZIIIII",
"IIIIIIIII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.09999999999999998,
0.1,
0.1,
0.1,
0.1,
0,
0,
0,
0,
0,
0,
0
] | 0.970815 | [
1.1714684453633544,
-0.22565601489251116,
0.8734553569620133,
0.10631804504957923,
1.461870865722246,
1.5319565875907153,
0.7624314261961992,
1.354129609751647,
1.719695203844485,
0.0021172732267856417,
0.1793184910609396,
1.604487317354334,
-0.02609723849482881,
0.6832245622952574,
-0.9... | {
"n_parameters": 48,
"n_qubits": 12,
"optimal_eigenvalue": -3.2,
"target_ratio": 0.97,
"target_value": -3.104
} | 7 |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"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": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [124, 118], "expectation_value": -17.32591047350151, "params": [[-0.0463], [0.17220000000000002]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 20, "probabilities": [0.015915378741216617, 0.01604560091523164], "optimization_time": 1.720106601715088} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 108.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06705697307695388) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06705697307695388) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.06705697307695388) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06705697307695388) q[3];
cx q[0], ... | 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
12.5,
4.5,
9.5,
5.5,
8.5,
11,
10,
3
] | 0.970508 | [
-0.06705697307695388,
-1.0858221740381448,
0.7683541393482292,
-1.037866449491875,
-1.2864236331379229,
0.12089631300890967,
-1.2281342709076082,
-0.5959445715535199,
0.058898953373016205,
0.39104211057759153,
0.11572163969478497,
-0.6202676151810331,
0.42998577073893834,
-0.60274796727804... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 81 |
236eee02726333745789aca07c73fbad | connected_components | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 30], "expectation_value": -9.81591039564931, "params": [-0.46180000000000004, 0.40700000000000003, 0.23390000000000002, 0.6642, -0.4479, -0.006900000000000001, -0.4441, 0.2732, -0.44380000000000003, 0.2795, -0.4506, 0.0424, 0.0536, 1.2808000000000002, -0.22190000000000001, 1.2159, 0.40890000000000004, 0.... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 6 | 5 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.020655816308775096) q[0];
rz(2.72080401718914) q[0];
rx(-1.5889324921289438) q[1];
rz(2.2974262509286767) q[1];
rx(1.2092140805544014) q[2];
rz(2.5302179081483844) q[2];
rx(1.4716295835037456) q[3];
rz(2.5527127996416414) q[3];
rx(-0.49072718365226614) q[4];
rz(0.9... | 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": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IIIZZ",
"IZIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.976382 | [
0.020655816308775096,
1.1500076903942438,
-1.5889324921289438,
0.7266299241337801,
1.2092140805544014,
0.9594215813534877,
1.4716295835037456,
0.9819164728467445,
-0.49072718365226614,
0.9227604098826407,
0.6291010245873265,
0.4424930737588961,
0.5527730480176062,
-0.05320108343876882,
0... | {
"n_parameters": 49,
"n_qubits": 5,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 75 |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | vqe | {"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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [43, 47], "expectation_value": -2.1168442254466315, "params": [0.402, -0.0024000000000000002, -0.0151, 0.2165, 0.4056, 0.0941, 0.40490000000000004, 0.0058000000000000005, 0.4038, -0.0024000000000000002, 0.4057, -0.0022, 0.40840000000000004, -0.0026000000000000003, -0.0106, 0.22490000000000002, 0.407900000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(-pi) q[0];
ry(-3.109822845335567) q[0];
h q[1];
ry(-1.5582063124952958) q[1];
rz(-pi) q[2];
ry(-3.109822845335567) q[2];
rz(-pi) q[3];
ry(-3.109822845335567) q[3];
h q[4];
ry(1.469755261649514) q[4];
rz(-pi) q[5];
ry(-3.135276556501939) q[5];
cx q[4], q[5];
ry(-0.107... | 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",
"IZIIZI",
"ZIIIZI",
"IIIZZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
0,
0,
0,
0
] | 0.994345 | [
-1.5582063124952958,
1.469755261649514,
0.21471432446647404,
0.2656217467992172,
0.18133959097226313
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-2837685049463093068 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [3, 6], [0, 4], [2, 7], [0, 2, 5], [4, 6, 7], [3, 4, 7], [0, 6, 7], [1, 3], [4, 5, 7], [1, 6]]} | {"states": [110, 149], "expectation_value": -0.07293236076093201, "params": [[-0.06380000000000001], [0.054200000000000005]], "bitstrings": ["10010001", "01101010"], "total_optimization_steps": 20, "probabilities": [0.004227385436496631, 0.00424427996909891], "optimization_time": 2.673107147216797} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101010", "01101000"], "largest_eigenvalue": 8.000000000000002} | 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];
h q[7];
cx q[7], q[1];
rz(-0.5360098133707775) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(-0.07637063263380782) q[3];
cx q[7], q[3];
cx q[1], q[3];
rz(-0.5360098133707775) q[3];
cx q[1], q[3];
cx q[7], q[6];
rz(-0.4289... | 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;
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[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(x1) q[3];
cx q[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZI",
"ZIIIZIII",
"IIIIZIZI",
"ZZIIIIII",
"IZIIIIZI",
"IZIIZIII",
"ZIIIIIIZ",
"IZIIIIIZ",
"ZIIZIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIIIZ",
"ZIIIIZII",
"IIIIIZIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIZIIZII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"IIIIIII... | [
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.6666666666666... | 0.475151 | [
-0.5360098133707775,
-0.07637063263380782,
-0.4289179652843219,
-0.8062144235100182,
0.9469968030560895,
0.7699545147571323
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 174 |
a99f86c3cb9c5f9afbf3a51c1f63c621 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -21.511613254051717, "params": [[[-0.0086, 0.0015], [-0.0057, -0.0012000000000000001], [0.006900000000000001, 0.0024000000000000002], [0.0021000000000000003, 0.0031000000000000003], [0.005200000000000001, -0.0025], [0.0026000000000000003, -0.0024000000000000002], [0.0038, -0.... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0008973377137980517) q[0];
ry(-0.07724966896180495) q[1];
ry(0.008071608743200348) q[2];
ry(-0.10161355622365542) q[3];
ry(0.0008973377137980517) q[4];
ry(0.007334187244498271) q[5];
ry(-0.023899058811940974) q[6];
ry(0.03792980714752836) q[7];
ry(0.07457937914449... | 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIZIIIII",
"IIIIZIIIZI",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIIIIIZI",
"ZIIIZIIIII",
"IIIIIZIZII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIIIZZIIII",
"ZIIIIZIIII"... | [
-0.75,
-1.5,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.5,
-0.75,
-0.75,
1.75,
-0.25,
-1,
-0.5,
-1.75,
-1,
-1,
-1,
-1.5,
-0.75,
-1,
-0.5,
-1,
-0.5,
-0.75,
-0.5,
-1,
-1,
-0.75,
-0.25,
-1.25,
-0.25,
0.5,
-2,
0,
1.5,
-1.75,
-0.25,
-0.25,
3.75
] | 0.970659 | [
0.0008973377137980517,
-0.07724966896180495,
0.008071608743200348,
-0.10161355622365542,
0.007334187244498271,
-0.023899058811940974,
0.03792980714752836,
0.07457937914449166,
1.9130910066636795,
-0.15561674932195602,
-0.05138019592625169,
0.018200923871852043,
-0.002300110658170281,
0.003... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 44 |
04943d12be9331cc9245456617bb8845 | max_flow | 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": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [426, 442], "expectation_value": -29.530757974747587, "params": [-0.003, -0.7514000000000001, 0.0029000000000000002, 1.4725000000000001, 0.0029000000000000002, 1.467, 0.0026000000000000003, 1.4769, 1.5718, 0.0041, 1.5858, 0.0641, 0.7222000000000001, 0.6077, 1.588, -0.005, 0.9085000000000001, 0.41700000000000... | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 18 | 13 | 2 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110000010000", "1111001000101", "1110001000001"], "largest_eigenvalue": 79.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(2.756448642387936) q[4];
rz(-pi) q[5];
ry(-1.4071951647766399) q[5];
h q[6];
ry(1.5747373492012693) q[6];
cx q[6], q[5];
ry(0.47977392536284186) q[5];
cx q[6], q[5];
ry(-0.018776860890256552) q[5];
cx q[0], q[5];
ry(0.01877686... | 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": []} | [
"IIZIIIIIIZIII",
"IZIIIIIIIZIII",
"IZZIIIIIIIIII",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIZIIZIII",
"IIZIIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZZIIIII",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIZIIIZIII",
"IIZIIZIIIIIII",
"IZIIIZIIIIIII",
"IIIIIZIZIIIII",
"IIIIIZIIZII... | [
-1,
-2,
2,
2,
-1,
-0.5,
0.5,
-0.5,
-1,
1,
0.5,
-0.5,
1,
-1,
-2,
2,
1,
-1,
2,
1,
0.5,
-0.5,
0.5,
1,
2,
1,
-1,
1,
2,
1,
-0.5,
0.5,
1,
-0.5,
-1,
-0.25,
-1,
1,
2,
11,
5.5,
-4.125,
4,
8,
4,
8,
0,
-0.75,
-0.375
] | 0.971122 | [
-2.4982175662086945,
-1.2959791973212518,
10.693477959740283,
2.756448642387936,
1.5747373492012693,
-0.9595478507256837,
-0.037553721780513104,
-0.09233073908691143,
0.3924196282534974,
0.01592015931431091,
0.17530178727681012,
-0.09689234899048765,
0.07372477176280937,
0.0220347731740424... | {
"n_parameters": 84,
"n_qubits": 13,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 96 |
-215686296995066948 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6, 7], [2, 3, 4, 6], [1, 4, 6, 7], [1, 5]]} | {"states": [202, 218], "expectation_value": -1.156254852584957, "params": null, "bitstrings": ["00110101", "00100101"], "total_optimization_steps": 57, "probabilities": [0.22276519547892162, 0.34110205457186615], "optimization_time": 431.6376793384552} | 0.08333333333333333 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["11100000", "11010000", "00001100", "00010101", "00100101"], "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];
cx q[4], q[0];
rz(-0.1524305742326109) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.038201292137207035) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.1524305742326109) q[6];
cx q[0], q[6];
h q[7];
cx q[4], q[7];
rz(-0.478... | 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(1.3016) 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[... | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIIIIZI",
"IIZIIII... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.... | 0.807683 | [
-0.1524305742326109,
-0.038201292137207035,
-0.4789288877749952,
-1.5347587732667645,
-1.1748898614161518,
-0.4492643938401904,
0.45745727614921516,
0.8648891709215094
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -1.25,
"target_ratio": 0.97,
"target_value": -1.2125
} | 189 |
5a5a77559134f24239cd09ffc52fdc65 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [126, 94], "expectation_value": -72.09799608500747, "params": [0.0019, 1.0094, 1.3984, -0.0826, 0.7729, -0.2833, 1.3954, 0.0041, 1.3929, 0.0033, 1.3931, 0.0031000000000000003, 1.3904, -0.0095, 0.0031000000000000003, -0.7772, 0.0017000000000000001, 0.0036000000000000003, 1.4045, 0.0088, 0.7761, 0.005200000000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(2) @ Z(5)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(3)) + -2.5 * Z(0) + 10.0 * Z(1) + 23.5 *... | 18 | 8 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 172.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.08801601289193708) q[0];
rz(1.5407080359563974) q[0];
rx(1.4778013400599268) q[1];
rz(-0.01829507163356703) q[1];
rx(0.18702011340932365) q[2];
rz(-0.27144777357607053) q[2];
rx(1.6210371609950096) q[3];
rz(-0.02453182918252217) q[3];
rx(1.5139537727205945) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIZIII",
"IIZIIZII",
"IIIIZZII",
"IIZZIIII",
"IIIZZIII",
"IIIZIZII",
"IZZIIIII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
-2.5,
10,
23.5,
23.5,
12,
18,
20,
-3.5
] | 0.978508 | [
0.08801601289193708,
0.9993435332981274,
1.4778013400599268,
-0.01829507163356703,
0.18702011340932365,
-0.27144777357607053,
1.6210371609950096,
-0.02453182918252217,
1.5139537727205945,
-0.04069312213296379,
1.6567038197095703,
-0.1076358581568854,
1.6414202195367442,
0.01045883412460203... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 9 |
82f2332f741b5ec7aa4bb36843cd0c9a | edge_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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [437, 413], "expectation_value": -2.660231778193927, "params": null, "bitstrings": ["001001010", "001100010"], "total_optimization_steps": 83, "probabilities": [0.04562671263837602, 0.6558978074553553], "optimization_time": 215.73703289031982} | 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(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "001100010", "010100001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | 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(-1.3016) q[5], 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];\nc[5] = measure q[5];\n... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIIZI",
"IZIIZIIZI",
"IZZIIIIZI",
"IZZIZIIII",
"IZZIZIIZI",
"IIIZIIZII",
"... | [
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,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0,
0.125,
0.125,
-0.25,
... | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
3fa23bf7f5997a6a9414c1a1e69c52c7 | 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": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [56, 67], "expectation_value": -0.09643050117592364, "params": [[0.0417], [-0.0397]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 20, "probabilities": [0.00825584827105167, 0.00830881834026563], "optimization_time": 1.4807021617889404} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011", "1011010", "1000111", "0111100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.029643966180166743) q[0];
rz(pi/2) q[0];
ry(0.39178513511322344) q[1];
ry(0.5427525155537967) q[2];
ry(0.6478381394613815) q[3];
ry(-0.15685193254960966) q[4];
ry(0.7977211775464561) q[5];
ry(0.012833035072556176) q[6];
ry(0.45690880233197506) q[7];
ry(0.544582172... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIZII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-1.5,
-1,
-1.5,
-0.5
] | 0.972422 | [
0.029643966180166743,
0.39178513511322344,
0.5427525155537967,
0.6478381394613815,
-0.15685193254960966,
0.7977211775464561,
0.012833035072556176,
0.45690880233197506,
0.544582172894911,
0.6323381310406062,
1.016732492214451,
-0.0003542391823376928,
0.22394637271809345,
-0.2559326348028659... | {
"n_parameters": 125,
"n_qubits": 11,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 32 |
52dd575f6b3baf37cbe77a1b25d4d01f | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -18.052744749498025, "params": [-0.1263, 0.0363, -0.0473, 0.0251, 0.003, 0.2926, 0.0011, 0.2657, 0.4017, 0.0033, 0.40440000000000004, 0.0023, -0.0025, 0.24960000000000002, 0.0078000000000000005, 0.3146, -0.1148, 0.0026000000000000003, -0.0313, 0.0864, -0.0058000000000000005, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(0)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.75 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(... | 6 | 11 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.0010366139599990302) q[0];
rz(0.17299554829095776) q[0];
rx(0.010765513396717694) q[1];
rz(-0.5742690940089137) q[1];
rx(1.4280640887520941) q[2];
rz(0.38644664951705954) q[2];
rx(0.010765513396717694) q[3];
rz(-0.5574917078191923) q[3];
rx(0.0988303871437863) q[... | 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] 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 floa... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIZIIZIIII",
"IIIIIZIIIZI",
"ZIIIIZIIIII",
"IIIZIZIIIII",
"IIIIZIIZIII",
"ZIIIZIIIIII",
"IIIIZZIIIII",
"IIZZIIIII... | [
-1,
-1.5,
-0.75,
-0.25,
-1,
3,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-1,
-1,
-0.25,
-1.5,
-0.25,
-1.25,
-0.25,
-0.75,
-0.75,
-2.75,
-0.25,
-0.25,
0,
2.25,
0.5,
2,
0.25,
0.5,
-1,
-1.25
] | 0.978666 | [
-0.0010366139599990304,
0.08481599312903582,
0.010765513396717694,
-0.556260298584222,
1.4280640887520941,
0.021763812815253587,
-0.5050204408357789,
0.09883038714378628,
-0.3995705642195091,
0.06388929421609922,
-0.4858503858731281,
0.11544781148096178,
-0.6883952528049914,
-0.59943664468... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 11 |
b86a4033b046c77102bc23e2de45941c | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [116, 108], "expectation_value": -2.9014088109785443, "params": [0.0026000000000000003, 0.48950000000000005, 0.0007, 0.009300000000000001, 0.903, -0.055, 0.909, 0.0016, 0.9068, -0.0345, 0.9081, 0.0064, 0.9053, -0.3628, 0.8999, 0.0005, 0.8984000000000001, -0.21480000000000002, 0.894, 0.0017000000000000001, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + -1.0 * Z(0) + -1.0 * Z(7) + -0.5 * Z(3) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 5 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001011", "10010011", "00010111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.0751569667440859) q[0];
rz(0.41292036222519357) q[0];
rx(2.3381159051466267) q[1];
rz(0.5489676648637745) q[1];
rx(1.644590083780327) q[2];
rz(-0.2657837093161013) q[2];
rx(0.5352185336726368) q[3];
rz(-1.8601217701495871) q[3];
rx(1.9338562045946583) q[4];
rz(-0.1... | 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": []} | [
"IIZIIIIZ",
"ZIZIIIII",
"ZIIIIIIZ",
"IIIIZIIZ",
"IZZIIIII",
"IZIIIIZI",
"ZIIIIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-0.5,
-1,
0,
-0.5,
0
] | 0.97226 | [
0.0751569667440859,
0.2723726892635254,
2.3381159051466263,
0.6481285185803752,
1.6445900837803271,
-0.30972054541354777,
0.5352185336726368,
-1.577274333397096,
1.9338562045946583,
-0.07152797798811363,
1.7495589289976319,
-0.22361091119215468,
-0.055165622834559974,
-0.9498294524450801,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 43 |
-137729522009583040 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [1, 5], [2, 5], [2, 6], [2, 4], [5, 6], [0, 1], [1, 6], [3, 7], [3, 5], [0, 4], [8, 2]]} | {"states": [240, 271], "expectation_value": -0.02458286243246384, "params": [[0.030000000000000002], [-0.0344]], "bitstrings": ["100001111", "011110000"], "total_optimization_steps": 10, "probabilities": [0.0020179603487857816, 0.0020179603487857816], "optimization_time": 1.7819361686706543} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["011110000", "101001010", "010110101", "100001111"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] 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(0.6229302887112423) q[1];
cx q[5], q[1];
h q[6];
h q[7];
cx q[7], q[4];
rz(0.6229302887112423) q[4];
cx q[7], q[4];
cx q[4], q[2];
rz(0.6229302887112423) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(0.622930288... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];... | null | {"circuits": [], "gradients": []} | [
"IZIIZIIII",
"IIIZIIIZI",
"IIIIZIZII",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IZIIIZIII",
"IIIZIZIII",
"ZIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"ZIIIIIIII"
] | [
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
] | 0.522051 | [
0.6229302887112423,
3.339105665254924e-8,
-0.7269874672418705
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 96 |
fc004364023d9de40312a47332ff3203 | 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": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 34], "expectation_value": -0.2972885227590858, "params": [[-0.054900000000000004, 0.078], [0.08, -0.0502]], "bitstrings": ["101010", "011101"], "total_optimization_steps": 10, "probabilities": [0.017724310434756172, 0.017789284151442857], "optimization_time": 2.90104341506958} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "101110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.6127412305421492) q[1];
cx q[0], q[1];
ry(0.9064729368977194) q[0];
ry(-0.649182173265523) q[1];
h q[2];
ry(1.4324240142859173) q[2];
cx q[2], q[0];
ry(-0.23353815411777684) q[0];
cx q[2], q[0];
cx 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",
"IIZIIZ",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"ZZIIII",
"IIZZII",
"ZIIZII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IZIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-1.5,
-1.5,
-1
] | 0.987812 | [
-1.5986606768365204,
-1.6185309131181278,
-1.6846005430182638,
1.4324240142859173,
-1.2254824610842985,
0.6729347827799425,
-0.5013102898575983,
0.4670763082355537,
-0.2957437668158493,
-0.01748577060486424,
-0.06482151295528986,
0.013714043898860342,
-0.001963044877672917,
0.1760142459784... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
5aa41fa14f6a892e69fb2ef8bf1750a6 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [98, 102], "expectation_value": -4.834831110645816, "params": [0.0011, -0.4449, -0.0085, 0.0006000000000000001, -0.0039000000000000003, 0.5026, -0.004, 0.0035, 0.9008, 0.0009000000000000001, 0.9081, 0.008400000000000001, 0.8977, -0.0014, 0.899, 0.0015, 0.6929000000000001, -0.096, 0.6937, 0.009300000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110011001", "110001101"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.08299587799620571) q[0];
rz(-0.05651153380895403) q[0];
ry(0.05761839018148064) q[1];
ry(0.18385007665567607) q[2];
ry(0.5992564578001871) q[3];
ry(0.12915165148842125) q[4];
ry(-0.1330832323628374) q[5];
ry(0.2271575876735189) q[6];
ry(0.46847757065066165) q[7];
... | 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": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIIIIZZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"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,
0.5,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
-1.5,
-1,
-1
] | 0.970868 | [
-0.08299587799620571,
0.05761839018148064,
0.18385007665567607,
0.5992564578001871,
0.12915165148842125,
-0.1330832323628374,
0.2271575876735189,
0.46847757065066165,
-0.10412965271827677,
-0.11302306761790806,
-0.009922231933566079,
0.12177521852867314,
-0.1852322179062659,
-0.07764751894... | {
"n_parameters": 137,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 7 |
6ce5e792c8c7a81b3ba7516b16638615 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [0, 2047], "expectation_value": -29.1506145708226, "params": [[[-0.0029000000000000002, 1.6044], [0.0019, -0.0031000000000000003], [0.0033, -0.0027], [0.0017000000000000001, 0.0022], [0.0025, 0.002], [0.0017000000000000001, 0.002], [0.0027, 0.0022], [-0.0035, -0.003], [0.0032, -0.003], [0.0035, 0.00290000000... | -3.5 * (Z(0) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(1)) + -3.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.18784350924505283) q[0];
ry(-0.09375399811031601) q[1];
ry(0.07016733093715694) q[2];
ry(-0.2538845151115071) q[3];
ry(-0.07649837644306923) q[4];
ry(-0.2538845151115071) q[5];
ry(-0.051781390051206994) q[6];
ry(0.033708433927370406) q[7];
ry(-0.10589302606807902)... | 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... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIIZIIIIIZ",
"IIIIIIZIIZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIIZZIIII",
"IIIIIZIIIIZ",
"IIIIZZIIIII",
"IIIIIZIIIZI",
"IIIZIIZIIII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIZIIIIIZI",
"IIIZIZIIIII",
"IZZIIIIIIII",
"IZIIIIIIZII",
"IIZIIIIIZII",
"ZZIIIIIII... | [
-3.5,
-3.5,
-2.5,
-3.5,
1,
-2.5,
-3.5,
1,
-2.5,
1,
-3.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-2.5,
-1.5,
-2.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
0.5,
-3,
1,
1,
1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.978977 | [
0.18784350924505283,
-0.09375399811031601,
0.07016733093715694,
-0.2538845151115071,
-0.07649837644306923,
-0.051781390051206994,
0.033708433927370406,
-0.10589302606807902,
0.21608481006621846,
-0.049655401505689464,
3.1522784591931328,
-0.08197679857731643,
0.03996602925618739,
-0.075897... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -33.5,
"target_ratio": 0.97,
"target_value": -32.495
} | 21 |
-8833735960334047061 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [0, 2, 5], [1, 5, 6], [3, 4, 5], [0, 1, 3], [0, 1, 2], [4, 6], [1, 2, 4]]} | {"states": [54, 62], "expectation_value": -2.19950004103524, "params": null, "bitstrings": ["1001001", "1000001"], "total_optimization_steps": 44, "probabilities": [0.2679113125538233, 0.5898374505754617], "optimization_time": 51.59697341918945} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0100100", "1001001", "1000001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5631023683763776) q[0];
h q[1];
ry(1.6346139013873835) q[1];
h q[2];
ry(0.7160930195181896) q[2];
h q[3];
ry(0.027596029884183887) q[3];
h q[4];
ry(-2.9762444697378676) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.5079761182208397) q[6];
cx q[4], q[6];
ry(0.507976118... | 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(1.5298) 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", "... | [
"IIZIIIZ",
"IIZIZII",
"IIIIZIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIZII",
"IIZIIZI",
"IIIIIZZ",
"IIIIZZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIZZIII",
"IIIZIIZ",
"IZIZIII",
"IIIZIZI",
"IIZIIII",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1666... | 0.970744 | [
1.6346139013873835,
1.2441070565207601,
-1.0159522364416793,
1.1642528908562033,
-1.1262047367527552,
-0.6253873387445756,
0.2766999144873408,
0.3226821728444215,
-0.43369689991369725,
0.7160930195181896,
-0.22212939865698283,
0.4887428074298576,
-0.0683392826095406,
0.3811778699573939,
... | {
"n_parameters": 35,
"n_qubits": 7,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 12 |
0609beb0244f504071355435b704f83a | 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": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -50.10463587076152, "params": [[-0.028, 0.0014, 0.006500000000000001, 0.0024000000000000002], [0.0756, 0.0623, 0.051300000000000005, 0.0528]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.009810340961666102, 0.01153019191196109... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 239.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05720166376948084) q[0];
cx q[1], q[0];
rz(0.384465093829772) q[0];
rx(0.5257962609517454) q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.05720166376948084) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(0.05720166376948084) 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] 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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"... | [
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,
27,
-2.5,
25,
1,
24,
25.5,
5,
27.5,
16.5
] | 0.971929 | [
0.05720166376948084,
-1.9208781452886627,
0.3844650938297717,
-1.5190760479115246,
0.8209157825718216,
-1.7818713127497543,
-1.4122972990232305,
0.9561315396792637,
-1.4130348703589817,
-0.5499250001873687,
0.5257962609517453,
-0.09871875069884134,
0.16770288276034062,
1.0067294391173507,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 77 |
3923277070428017621 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 1], [1, 7], [0, 3, 4, 6, 7, 9], [2, 4], [9, 2, 5], [0, 2, 3, 6], [0, 3, 6, 7, 8, 9], [9, 3, 5], [9, 2, 6]]} | {"states": [711, 709], "expectation_value": -3.1326023114865453, "params": [1.6968, -0.031100000000000003, 1.3374000000000001, 0.009600000000000001, 0.1333, -0.0351, -0.1258, 0.0026000000000000003, 1.7783, -0.040400000000000005, 1.3503, 0.0091, 2.1155, -0.0379, 1.0148000000000001, 0.0016, 0.2889, -0.040400000000000005,... | 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(9)) + 0.06666666666666667 * (Z(0) @ Z(9)) + 0.06666666666666667 * (Z(0) @ Z(7)) + 0.23333333333333334 * (Z(3) @ Z(9)) + 0.06666666666666667 * (Z(3) @ Z(7)) + 0.15 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(9)) + 0.03333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.1499999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1166666666666663, "smallest_bitstrings": ["0100111010"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7911142070684554) q[0];
rz(1.3740540933683238) q[0];
rx(-0.03405880057944838) q[1];
rz(1.4901749353395104) q[1];
rx(1.8511004112316367) q[2];
rz(1.7201002979035565) q[2];
rx(2.092520151719573) q[3];
rz(1.6302322268361724) q[3];
rx(0.2002653277438249) q[4];
rz(1.72... | 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": []} | [
"ZIIIIIIIZI",
"IIZIIIIIZI",
"ZIZIIIIIII",
"ZIIIIIIIIZ",
"IIZIIIIIIZ",
"ZIIIIIZIII",
"IIZIIIZIII",
"IIIIIIZIIZ",
"ZIIIIZIIII",
"IIZIIZIIII",
"IIIIIZIIIZ",
"IIIIIZZIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIIZIZIIII",
"ZIIIIIIZII",
"IIIIIIIZIZ",
"IIIIIIZZII"... | [
0.5,
0.5,
0.06666666666666667,
0.06666666666666667,
0.06666666666666667,
0.23333333333333334,
0.06666666666666667,
0.15,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.23333333333333334,
0.06666666666666667,
0.15,
0.15,
0.03333333333333333,
0.... | 0.97568 | [
1.7911142070684551,
-0.19674223342657224,
-0.03405880057944838,
-0.08062139145538635,
1.8511004112316367,
0.14930397110866006,
2.092520151719573,
0.05943590004127587,
0.20026532774382494,
0.23302945209175596,
0.10769908562444434,
0.16385711070814082,
0.2864030080045463,
1.7404536720994943,... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -3.1499999999999995,
"target_ratio": 0.97,
"target_value": -3.0554999999999994
} | 20 |
7ad25801f2803c9d1de2b3e512ecc55f | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [11, 27], "expectation_value": -8.528867697185259, "params": [[[-0.0021000000000000003, 0.0026000000000000003], [0.0025, 0.003], [-0.0021000000000000003, 0.0058000000000000005], [-0.0017000000000000001, 0.0001], [0.0441, 0.0079], [1.6307, 0.0051], [3.1615, 0.002], [-0.0025, 0.007500000000000001], [3.16030000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ 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(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111000101", "1111100100"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.04892628086545571) q[0];
rz(-0.11465600840031051) q[0];
rx(-0.028320288502338708) q[1];
rz(-0.04218378146484555) q[1];
rx(0.04892628086545571) q[2];
rz(0.11955366873869422) q[2];
rx(-0.11055019131354989) q[3];
rz(0.0740794786264459) q[3];
rx(-0.08116242496084351) ... | 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIIIZZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIZIZIII",
"IIZIIIZIII",
"IZIIIIZIII"... | [
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,
-2.5,
-2,
-1,
-1.5,
-1,
-1.5,
-1,
-2.5,
-1,
-1
] | 0.971365 | [
0.04892628086545571,
-0.11465600840031051,
-0.028320288502338708,
-0.04218378146484555,
0.11955366873869422,
-0.11055019131354989,
0.0740794786264459,
-0.08116242496084351,
0.10728049628376504,
2.2270155290972706,
0.22105851192784193,
3.4087057326422796,
-0.04346230043987331,
0.12865728353... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 4 |
31a11ae818df971c53c10fb4beb29051 | 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}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [1799, 1823], "expectation_value": -0.5777519601412932, "params": [[0.059300000000000005], [-0.057800000000000004]], "bitstrings": ["00011111000", "00011100000"], "total_optimization_steps": 10, "probabilities": [0.0006497312447757984, 0.000667136644368407], "optimization_time": 2.6394565105438232} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(5) + -1.0 * Z(3) + 1.0 * Z(4) + 0.5 * Z(7) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00011100000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.015679814488940208) q[0];
h q[1];
h q[2];
ry(0.02560247093007024) q[2];
cx q[1], q[2];
ry(-0.02560247093007024) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.015679814488940208) q[0];
cx q[2], q[0];
ry(0.6491338119100465) q[0];
ry(1.4794811008456128) q[1];
ry(... | 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;
bit[11] c;
qubit[11] 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];
h q[10];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97032 | [
1.450578598630869,
-1.434617905723163,
-1.7634627382878927,
0.05120494186014048,
1.4391852688384448,
0.031359628977880416,
0.07026163281343836,
1.499857093771969,
0.9985297940755106,
0.9052129018963545,
-1.5280289695858826,
1.1215118243950295,
0.08059166401433598,
0.706982474226035,
1.29... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 215 |
dbbbc4d6019a7673182b353b82b6a083 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [510, 1], "expectation_value": -1.0464396078063154, "params": [[0.0603], [-0.055900000000000005]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002851586200249495, 0.0030396321350177244], "optimization_time": 3.363828182220459} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.05801375331731248) q[0];
rz(-0.19667350771320535) q[0];
rx(-0.26758040395371646) q[1];
rz(0.07473915815877774) q[1];
rx(-0.10626910776547736) q[2];
rz(-0.11601750393267096) q[2];
rx(-0.10626910776547735) q[3];
rz(-0.43722499528637826) q[3];
rx(-0.10626910776547735)... | 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[9] c;
qubit[9] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZIZII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"IIZZIIIII",
"IIZIIZIII",
"IIZIZIIII",
"... | [
-0.5,
-1.25,
-1.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
2.5,
-0.75,
-1.25,
-1,
-0.25,
-1.25,
-1,
-0.75,
-1.75,
-0.5,
-1,
-1.25,
-1.25,
-0.25,
0.25,
0.75,
-2.25,
-1.75,
1,
-0.75,
4.25
] | 0.975557 | [
0.058013753317312476,
-0.028323711234742522,
-0.2675804039537165,
0.07891530781557991,
-0.10626910776547735,
-0.19747719298228392,
-0.4662318719450348,
-0.336699592956925,
0.2868092447884703,
0.1099004908748079,
-0.08929792657699955,
2.858022279518331,
0.08580303488803774,
0.25924196125400... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 6 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -0.4584479044417562, "params": [[0.0656, -0.031200000000000002], [-0.07, -0.0164]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.019891693773061037, 0.020281258138833053], "optimization_time": 3.096756935119629} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.08518445392886709) q[0];
h q[1];
ry(0.7344530129428192) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7344530129428192) q[1];
cx q[2], q[1];
ry(1.0101684841631557) q[1];
ry(0.3778026982403184) q[2];
h q[3];
ry(1.4689060258856383) q[3];
cx q[3], q[2];
ry(-0.37780269824... | 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": []} | [
"IZIIIZ",
"IZIIZI",
"IZIZII",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIZIZI",
"IIZZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"ZIIIII",
"IIZIII"
] | [
-0.75,
-0.5,
-0.5,
-2,
1,
-1,
-0.75,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
1,
0,
-1.5,
1.5
] | 0.970023 | [
1.4689060258856383,
0.7556053964806368,
1.0101684841631557,
0.7450025616198421,
1.116283706090253,
0.17036890785773418,
-1.7697599114863298,
-0.4403637208421415,
1.9537061785283334,
-1.0502727024979575,
-0.15078201215917703,
-0.018246425341645917,
0.10291598989964974,
0.5684135011893949,
... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 137 |
-5440079155544710673 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [4, 5], [1, 2], [3, 4]]} | {"states": [50, 53], "expectation_value": -0.027110573514878958, "params": [[0.06670000000000001], [-0.051300000000000005]], "bitstrings": ["001101", "001010"], "total_optimization_steps": 10, "probabilities": [0.016485182928172748, 0.016485182928172748], "optimization_time": 0.9681825637817383} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "110101", "001101", "001010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
ry(-0.5472347912949566) q[2];
cx q[1], q[2];
ry(0.5472347912949566) q[2];
cx q[1], q[2];
ry(-0.2878028769502838) q[2];
cx q[0], q[2];
ry(0.2878028769502838) q[2];
cx q[0], q[2];
ry(1.3144174089321936) q[1];
ry(0.6550783353511412) q[0];
cx q[1], q... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZZIIII",
"IIIZZI",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.970264 | [
-1.0944695825899131,
1.3144174089321936,
-0.5756057539005676,
1.3101566707022825,
0.22590160745889717,
-0.4842378473152197,
0.2962008620676822,
-0.08254885800176756,
-0.2644501693459917,
0.15644409791403166,
-0.33324647207278013,
-0.8407219500075362,
-0.2795774372021377,
-0.747048761362961... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 25 |
6ed1ddb0c37b8c42f6032d980e7fb546 | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.032316464553032616, "params": [[0.0081, -0.0162, 0.019200000000000002], [-0.0261, 0.020800000000000003, 0.0108]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.007934551092730722, 0.007942534837255849], "optimization_time": 27.6250... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 1 | 7 | 3 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.024454446097182985) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3069541494970769) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.024454446097182985) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-6.822630483254212e-06) q[3];
cx q[1]... | 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",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZZIIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-0.75,
-0.25,
-1.25,
0.5,
-0.25,
-0.5,
-0.5,
-1,
-1,
-1,
-1,
0.25,
-0.25,
-1.75,
0,
-0.75,
-1,
3.5
] | 0.828374 | [
-0.024454446097182985,
0.3069541494970769,
-0.000006822630483254212,
-3.1278555237590693,
0.00014199144815494222,
-0.01953305798076947,
-1.570534837818748,
-1.5705391428806783,
-1.5708192020044294,
-1.5708952581243638,
1.5687173531789174
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 333 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -3.4963974346641984, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 25, "probabilities": [0.06635223124592704, 0.9303259840124461], "optimization_time": 15.213822364807129} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | 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[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];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
5489b8f397d0daa293d98dbf1d4ada0d | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 7}, {"sour... | {"states": [163, 171], "expectation_value": -4.121263162480584, "params": [[[-0.006, 0.3851], [0.7063, 0.003], [0.002, -0.35960000000000003], [0.7016, 0.0031000000000000003], [-0.0063, -0.34790000000000004], [0.6077, -0.0011], [0.1004, -0.2936], [0.7035, -0.004], [0.7100000000000001, 0.0017000000000000001]], [[-0.0054,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(8) + -0.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101000", "101010100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.3608752062018856) q[0];
ry(0.09404398242279759) q[0];
rz(2.0149844164912203) q[0];
rz(1.3029625889530436) q[1];
ry(2.8430232012246592) q[1];
rz(-1.8131089892986896) q[1];
rz(1.17773497957476) q[2];
ry(0.1308570978969941) q[2];
rz(-1.9505052151571798) q[2];
rz(-0.0... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIZZIII",
"IIZZIIIII",
"IIZIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1,
-1,
-1,
0,
0,
-0.5,
-0.5
] | 0.972544 | [
0.055315089062576386,
0.2818658393509607,
0.8220303274896612,
-0.04493251023943473,
0.0651165750472749,
-0.3792286927733262,
0.9029861328165869,
-0.06163606852269361,
-0.058881552022848546,
-0.28663023132550347,
1.1044842398063432,
-0.15957870818761785,
-0.0641885376273378,
-0.287177663247... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 12 |
caf35114cd2a6c8ee1f15868fb61caaf | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [67, 56], "expectation_value": -0.12322896855719712, "params": [[-0.006500000000000001, -0.044700000000000004], [-0.0258, 0.0495]], "bitstrings": ["0111100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008374227455953155, 0.00837455996309958], "optimization_time": 6.58092188835144} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3749281718942854) q[0];
h q[1];
ry(1.436274641141968) q[1];
h q[2];
rz(-pi) q[3];
ry(-0.0027262288444135988) q[3];
ry(-0.01206206755472066) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.546424165316911) q[5];
h q[6];
ry(-0.6161330637769687) q[6];
cx q[2], q[6];
ry(0.61... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.994718 | [
-1.546424165316911,
-1.5348459439607316,
-1.450976241884169,
1.436274641141968,
1.3749281718942854,
-1.2322661275539375,
0.6835045182460581,
-0.14628811761727423,
0.5727281584325545,
-0.2863042567543411,
0.15136107694265455,
-0.19566383028535825,
-0.2450926275102824,
0.21137010648256874,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
38f137728aa288017fb6e77e397c7c5c | 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": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [39573, 43669], "expectation_value": -2.008454878822832, "params": [0.7906000000000001, 0.7855000000000001, -0.0016, -0.0017000000000000001, -1.233, -0.4726, 0.7363000000000001, 0.7197, 0.7872, 0.7976000000000001, -0.0026000000000000003, -0.0014, -1.3238, -0.9694, 0.6361, 0.5921000000000001, 0.79760000000000... | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 13 | 16 | 2 | {"smallest_eigenvalues": [-2.0199652777777355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776653, "smallest_bitstrings": ["0101010101101010"], "largest_eigenvalue": 2.016145833333325} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.5654779670798409) q[0];
ry(0.14402944392157843) q[1];
ry(1.5070742862472157) q[2];
ry(0.00326291141612349) q[3];
ry(1.677896976577902) q[4];
ry(-0.0004180195311676016) q[5];
ry(1.6663581868950403) q[6];
ry(1.6312603084216823) q[7];
ry(0.01917365864312516) q[8];
ry... | 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": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00026041666666666666,
0.00026041666666666666,
0.25,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.00078125,
0.25,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
0.... | 0.97202 | [
1.5654779670798409,
0.14402944392157843,
1.5070742862472157,
0.00326291141612349,
1.677896976577902,
-0.0004180195311676016,
1.6663581868950403,
1.6312603084216823,
0.01917365864312516,
1.7748246180111893,
-0.050733965111285736,
1.4959473649241986,
0.14239188211970258,
1.5332276298101073,
... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0199652777777413,
"target_ratio": 0.97,
"target_value": -1.9593663194444089
} | 38 |
2114723939746209885 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6], [2, 5], [3, 4, 6], [0, 3, 4, 7], [1, 2, 3, 7], [0, 1, 3, 4]]} | {"states": [207, 235], "expectation_value": -1.8651417318555754, "params": null, "bitstrings": ["00110000", "00010100"], "total_optimization_steps": 51, "probabilities": [0.05407234019931443, 0.8935446345639091], "optimization_time": 82.83020997047424} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.916666666666666, "smallest_bitstrings": ["10100010", "00010100"], "largest_eigenvalue": 5.499999999999998} | 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[4];
rz(-0.05395047896878598) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(-0.05395047896878598) q[6];
cx q[5], q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(-1.537661141845475) q[2];
cx q[5], q[2];
rz(-0.053950478968... | 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(1.4977) 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[... | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIZIIZII",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.0833333333... | 0.735612 | [
-0.05395047896878598,
-0.8141857437063708,
-1.537661141845475,
-0.0412106408553294,
0.5135915112350218,
0.06929518070785219,
-0.9337262997251036,
-1.4353476593564123,
0.8833698056690719
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -1.9166666666666665,
"target_ratio": 0.97,
"target_value": -1.8591666666666664
} | 210 |
902d1b67930e0629acecd09204caf4e9 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [136, 95], "expectation_value": -4.030483632733296, "params": [[0.07680000000000001, 0.0781, 0.07060000000000001], [-0.0728, -0.0816, -0.0806]], "bitstrings": ["01110111", "10100000"], "total_optimization_steps": 10, "probabilities": [0.014140329654819648, 0.015173191349872196], "optimization_time": 4.515942... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0002406203259945633) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0002406203259945633) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.002239755713033603) q[7];
cx q[1], q[7];
cx q[0], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII"
] | [
-0.25,
-0.25,
-1.5,
0.75,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
-0.5,
-1.75,
-0.5,
0.25,
-0.25,
-2.5,
-1.5,
1.25,
4,
-1.75,
0.5
] | 0.77774 | [
-0.0002406203259945633,
0.002239755713033603,
-1.5620315308743886,
0.00020706909952766735,
0.029331636032040385,
0.0007288211898819608,
0.11520209218064827,
1.5694007098049831,
-1.4370331811755714,
1.56923526210303,
1.5524995235409658,
1.5661269392947803,
-1.7487633370776487
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 357 |
16e531ebd5c4fa365456c9500ea8e716 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -5.344929278546653, "params": [[-0.0463, -0.054900000000000004], [0.0646, 0.062]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01505497496212854, 0.015372071947280477], "optimization_time": 4.9911980628967285} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.17931700348995208) q[0];
rz(-0.5295651513983046) q[0];
rx(0.1383091762588557) q[1];
rz(-2.4427159179592346) q[1];
rx(0.19192920998953547) q[2];
rz(0.7692060885471252) q[2];
rx(0.010941951037614334) q[3];
rz(1.0249064769628937) q[3];
rx(3.3823159256033737) 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] 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... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
-3.25,
-3.5,
-3.5,
-3.5,
-3,
-2.75,
-3
] | 0.970005 | [
-0.17931700348995208,
-0.5295651513983046,
0.1383091762588557,
-2.4427159179592346,
0.19192920998953547,
0.7692060885471252,
0.010941951037614334,
1.0249064769628937,
3.3823159256033737,
0.76377487209716,
2.7495714135870237,
0.6576922218401471,
3.0317260152509355,
-2.4912281243830905
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 29 |
52a084c3837e8103860964e17ff664ad | 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}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 17, "source... | {"states": [171, 169], "expectation_value": -43.8619164303056, "params": [[[0.0029000000000000002, 0.2721], [0.5766, 0.0025], [0.0056, 0.41700000000000004], [0.5863, 0.0031000000000000003], [0.11660000000000001, -0.2437], [0.5979, -0.0023], [0.13920000000000002, 0.2311], [0.373, -0.10840000000000001], [0.5907, -0.0025]... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-60.0, -60.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -57.0, "smallest_bitstrings": ["111010110", "101010110"], "largest_eigenvalue": 109.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(0.35803721432353264) q[0];
ry(0.1002304885800431) q[0];
rz(0.2423264119665247) q[0];
rz(1.9778185239615054) q[1];
ry(2.1825325331843146) q[1];
rz(-1.2716640295777515) q[1];
rz(-1.265005123067631) q[2];
ry(0.1321836081140818) q[2];
rz(1.7252076563442564) q[2];
rz(1.30... | 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\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-9.5,
6.5,
-8,
12,
-2.5,
-3.5,
8.5,
5.5
] | 0.978683 | [
0.27142324413184704,
0.3824558914111357,
1.0660142889678628,
0.3580090426854323,
-0.06929697599071229,
0.6102040719090158,
1.3488706353529616,
-0.12323579796916302,
0.09248632844231083,
-0.5040709525970754,
1.633722390878367,
0.04786520849940054,
-0.041692619273492666,
-0.7787375206912922,... | {
"n_parameters": 34,
"n_qubits": 9,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 11 |
dc72488dd6090670edbeccc77e6da35f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [16, 1], "expectation_value": -4.203989617693013, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 12, "probabilities": [0.12843648895208365, 0.8520018438428943], "optimization_time": 5.828567028045654} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | null | {"source": 0, "sink": 4} | {"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(-1.5706) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
15981867526b451292338ffade4ee93e | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [10, 42], "expectation_value": -3.0719332890006465, "params": null, "bitstrings": ["110101", "010101"], "total_optimization_steps": 34, "probabilities": [0.1326371409892334, 0.677494673987298], "optimization_time": 28.12845802307129} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0615767063417223) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.0615767063417223) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(1.0615767063417223) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(1.0615767063417223) q[2];
cx q[3], q[2];
rz... | 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(-1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIIZ",
"ZIIIIZ",
"IIIZZI",
"IIZZII",
"IZIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.725469 | [
1.0615767063417223,
-0.31295547132631285,
-0.01907240403825381,
-2.5548485838209922,
-0.5424104057174817,
-0.020414202526432848,
0.19890450634838813,
1.7267918799232351
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 234 |
f06cfa431b1d21951bd72bdc4807e338 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [24, 27], "expectation_value": -4.499934073599166, "params": null, "bitstrings": ["100111", "100100"], "total_optimization_steps": 25, "probabilities": [1.383409073205191e-05, 0.999948183846146], "optimization_time": 18.83863115310669} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) q[4];
cx q... | 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[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 \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.35676867341524027, "params": [[0.0656], [-0.063]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01782033334285304, 0.018106869623492117], "optimization_time": 1.7731239795684814} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.06827815816356449) q[0];
h q[1];
ry(0.28864931235364366) q[1];
h q[2];
h q[3];
cx q[3], q[1];
ry(-0.28864931235364366) q[1];
cx q[3], q[1];
ry(0.2691310622985146) q[3];
ry(0.7286787559448862) q[1];
h q[4];
ry(1.1406820502596924) q[4];
cx q[2], q[4];
ry(-1.... | 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[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[4], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"IZIZII",
"ZZIIII",
"ZIIIIZ",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1,
-1.5,
1.75,
-0.25,
0.25,
-0.25,
1,
-1,
0,
0
] | 0.970202 | [
0.5772986247072873,
-0.13655631632712897,
1.4784928192670517,
2.2813641005193848,
2.1336059398620155,
0.08833575044167,
-0.9910259827145842,
0.04008808361503387,
0.5382621245970292,
1.4573575118897724,
1.1779871136653997,
-0.41195736481598083,
0.047345997501894194,
0.04288036191304298,
-... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 97 |
8024481a741f3f9d1bfa3919cba5fa72 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [32, 33], "expectation_value": -1.8784082635498982, "params": [[[1.499, 0.0007], [1.6266, 0.0057], [1.5170000000000001, 0.0063], [-0.003, 0.0095], [-0.0023, 0.0051], [0.0024000000000000002, 0.0025], [1.6235000000000002, 0.009300000000000001]]], "bitstrings": ["1011111", "1011110"], "total_optimization_steps"... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(1)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.875, -2.875, -2.875, -2.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.875, "smallest_bitstrings": ["0101111", "0111110", "1001111", "1011110"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.37508209008185645) q[0];
rz(-2.1074612783711215) q[0];
rx(3.117622903778791) q[1];
rz(-0.7901773963171368) q[1];
rx(0.16582931580041338) q[2];
rz(0.8473276683109248) q[2];
rx(-0.05321533002953449) q[3];
rz(-0.1686638567721093) q[3];
rx(0.2520188779872486) 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] 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"IIIZZIZ",
"ZIIIZII",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"IZZIIII",
"ZIZIIII",
"ZZIIIII",
"IZZIIZI",
"ZIZIIZI",
"ZZIIIZI",
"ZZZIIII",
"ZZZIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
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,
-0.25,
-0.125,
-0.25,
-0.75,
-0.625,
-0.625,
-0.125
] | 0.972618 | [
-0.37508209008185645,
-2.1074612783711215,
3.117622903778791,
-0.7901773963171368,
0.16582931580041338,
0.8473276683109248,
-0.05321533002953449,
-0.1686638567721093,
0.2520188779872486,
0.2499451073593159,
-0.2781126576539108,
0.6206559794715769,
3.0903792439836644,
0.19445529084414154
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -2.875,
"target_ratio": 0.97,
"target_value": -2.78875
} | 22 |
b80d831cd9b07b1f2aaf1d64249cf046 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [78, 75], "expectation_value": -4.499134183102599, "params": null, "bitstrings": ["0110001", "0110100"], "total_optimization_steps": 31, "probabilities": [0.06620744839560425, 0.9331647658006801], "optimization_time": 43.53319716453552} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0101100", "0110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.057187703765313375) q[0];
rz(0.7690216135978227) q[0];
rx(1.209906049124608) q[1];
rz(-0.07290860364248924) q[1];
cx q[1], q[0];
rz(-0.028593851882656687) q[0];
cx q[1], q[0];
rx(0.05718770376531337) q[0];
rz(-0.6005090386584673) q[0];
rz(0.11078862637344898) q[1];... | 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",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IZIIIZI",
"ZIIIIZI",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.97207 | [
0.057187703765313375,
0.7404277617151661,
1.209906049124608,
-0.07290860364248924,
1.2903415687138335,
-0.07675919091913075,
0.10497633905354888,
-0.06733609960099873,
1.3402996070483726,
-0.03416843960718164,
0.03206647432155457,
0.5921790357738657,
1.793709390858471,
0.1755954028706419,
... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 21 |
-8773947760197531849 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 6], [0, 1, 2, 5, 7], [6, 7], [0, 3, 5, 6, 8], [2, 4, 5], [2, 6], [0, 3, 4, 5, 6], [0, 8, 6, 1], [2, 3, 7], [0, 3, 4, 6, 8], [2, 3, 4], [0, 1, 2, 4], [8, 0, 2, 3]]} | {"states": [490, 491], "expectation_value": -2.4952356150514525, "params": [1.4835, -0.054, 0.8932, 0.0097, 1.4853, -0.046900000000000004, 0.7666000000000001, 0.0008, 1.4839, -0.057, 0.686, 0.0051, 1.4889000000000001, -0.0704, 1.0902, 0.005200000000000001, 1.4926000000000001, -0.025, 1.4902, 0.0, 1.4923000000000002, -0... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.31666666666666665 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.23333333333333334 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(0) @ Z(6)) + 0.41666666666666663 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.2166666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.1000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0666666666666664, "smallest_bitstrings": ["000010100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.203171801863968) q[0];
rz(1.5063037809596969) q[0];
rx(1.378165079505562) q[1];
rz(1.6998666102017141) q[1];
rx(1.8039081295619694) q[2];
rz(1.682889117517905) q[2];
rx(2.753811397278536) q[3];
rz(2.0063540072717982) q[3];
rx(1.9741818538429268) q[4];
rz(1.65858024... | 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": []} | [
"IIIIIZIZI",
"IIZIIZIII",
"IIZIIIIZI",
"IIIIIZIIZ",
"IIIIIIIZZ",
"IIZIIIIIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIZIZIII",
"IIIZIIIZI",
"IIZZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"IZIIIZIII",
"IZIIIIIZI",
"IZZIIIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"... | [
0.16666666666666666,
0.31666666666666665,
0.25,
0.23333333333333334,
0.21666666666666667,
0.23333333333333334,
0.41666666666666663,
0.13333333333333333,
0.5,
0.21666666666666667,
0.1,
0.05,
0.1,
0.15000000000000002,
0.21666666666666667,
0.16666666666666666,
0.05,
0.5,
0.05,
0.2... | 0.970743 | [
2.203171801863968,
-0.06449254583519944,
1.378165079505562,
0.12907028340681748,
1.8039081295619694,
0.11209279072300837,
2.753811397278536,
0.43555768047690174,
1.9741818538429268,
0.08778391834966662,
2.5460878103343307,
0.03837438729610747,
2.8836170189329544,
0.060715717718208266,
1.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.1000000000000005,
"target_ratio": 0.97,
"target_value": -3.0070000000000006
} | 182 |
d01957666343e9fcbe75d528dbc9cd28 | 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": [346, 362], "expectation_value": -78.20255005701539, "params": [0.3511, -0.0175, 1.0461, -0.0, -0.007200000000000001, -0.2127, 1.0299, 0.0012000000000000001, 0.37920000000000004, 0.0178, 1.5746, -0.0663, 1.1304, 0.0054, 0.1499, -0.0161, 1.0441, 0.0004, -0.0053, 0.6704, 0.3551, -0.006200000000000001, 1.0476, ... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(2) @ Z(8)) + 7.5 * (Z(9) @ Z(8)) + -4.0 * Z(0) + 9.5 * Z(1) + 5.5 * Z(4) + 8.5 * Z(3) + 11.0 * Z(5) + -3.5 * Z(7) + -2.0 * Z(6) + 8.5 * Z(8) + -6.0 * Z(2) + -2.5 * Z(9) | 4 | 10 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1010010101"], "largest_eigenvalue": 96.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.3284393788301319) q[0];
rz(1.4316997765098716) q[0];
rx(1.1703696722158925) q[1];
rz(1.4703645951208877) q[1];
rx(-0.02372616478183343) q[2];
rz(1.4321501687972589) q[2];
rx(1.1136820432184842) q[3];
rz(1.5033823547081342) q[3];
rx(0.34241484571006275) q[4];
rz(1.... | 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, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIIIIIIZII",
"ZIIIIIIIII"
] | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-4,
9.5,
5.5,
8.5,
11,
-3.5,
-2,
8.5,
-6,
-2.5
] | 0.971886 | [
0.32843937883013197,
-0.13909655028502504,
1.1703696722158927,
-0.10043173167400837,
-0.02372616478183343,
-0.13864615799763758,
1.113682043218484,
-0.06741397208676234,
0.3424148457100628,
-0.006097656964426594,
1.5315012555218956,
-0.1688610169047149,
1.1952962417483044,
-0.0122134967872... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 4 |
1225599293962643062 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [2, 3], [0, 2], [1, 4]]} | {"states": [11, 53], "expectation_value": -0.4304351021892315, "params": [[0.2785], [-0.2846]], "bitstrings": ["110100", "001010"], "total_optimization_steps": 30, "probabilities": [0.03292088100000566, 0.03295569437071697], "optimization_time": 1.3206501007080078} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["110100", "001010"], "largest_eigenvalue": 2.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.27997451728664613) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.27997451728664613) q[5];
cx q[4], q[5];
cx q[3], q[5];
cx q[4], q[1];
rz(1.118609005682384) q[1];
cx q[4], q[1];
rz(-0.10747593655571253) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx ... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIZZII",
"IIIZIZ",
"IZIIZI",
"IZIIII",
"IIZIII",
"ZIIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666666,
0,
0,
0
] | 0.640448 | [
0.27997451728664613,
1.118609005682384,
-0.10747593655571254,
-0.7960737248002653
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 103 |
-8127353353967273224 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 4], [4, 5], [1, 2], [0, 2], [2, 6]]} | {"states": [24, 103], "expectation_value": -0.05667248728319521, "params": [[0.0629], [-0.0654]], "bitstrings": ["1100111", "0011000"], "total_optimization_steps": 10, "probabilities": [0.008456242004625091, 0.008456242004625091], "optimization_time": 1.399472713470459} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["0010010", "0011010", "1101101", "0011000", "1100101", "1100111"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.6627904477314174) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(0.6627904477314174) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(0.6627904477314174) q[4];
cx q[3], q[4];
rz(-1.1487533591036936e-08) q[3];
rx(-0.70660... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[4], q[2];
... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"IZZIIII",
"IIZZIII",
"IIZIZII",
"IIIIZZI",
"IIIIZIZ",
"ZIIIZII",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.524026 | [
0.6627904477314174,
-1.1487533167220057e-8,
-0.7066005427683529
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 95 |
-7016046446700852545 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 6], [8, 3, 4], [1, 9], [0, 3, 5], [0, 1, 8], [0, 6], [8, 2, 3], [8, 9, 6], [0, 3, 4], [2, 3, 5], [4, 6], [9, 2, 4], [0, 8, 7], [1, 4], [5, 7], [9, 5], [0, 9, 2], [0, 4, 5], [3, 7], [8, 9, 2], [2, 3, 6], [0, 9, 3]]} | {"states": [1010, 978], "expectation_value": -5.124213310153397, "params": [2.4345000000000003, 0.22080000000000002, 0.6908000000000001, 0.0067, -1.2757, 0.3241, -1.3236, 0.0095, 2.1254, 0.19640000000000002, 1.0145, 0.0015, 1.8, 0.17500000000000002, 1.2670000000000001, 0.0037, 1.9523000000000001, -0.3148, 0.8383, 0.008... | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.1666666666666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666667, "smallest_bitstrings": ["0000101101"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(2.661836654126369) q[0];
rz(0.339160094758892) q[0];
rx(-1.565954868342912) q[1];
rz(0.12130713087369394) q[1];
rx(2.056014511609694) q[2];
rz(0.10600537620488382) q[2];
rx(1.8012066647691802) q[3];
rz(0.2611724350556024) q[3];
rx(1.3875492365518398) q[4];
rz(-0.640... | 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": []} | [
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIZIZIII",
"IIIZIIZIII",
"IZIIIIZIII",
"IIIIZZIIII",
"IIIIIZIIZI",
"IIIZIZIIII",
"IZIIIZIIII",
"IIIIIZZIII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"ZIIZIIIIII",
"ZZIIIIIIII",
"ZIIIIIZIII",
"ZIIIIZIIII",
"IIIIZIIIIZ"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333... | 0.970667 | [
2.661836654126369,
0.30012606523076607,
-1.5659548683429123,
0.07821365363249402,
2.0560145116096944,
0.06020514190423126,
1.8012066647691805,
0.23023911370026334,
1.3875492365518403,
-0.4066870834558891,
2.555385276043071,
0.6215466155683718,
-0.045760446797213084,
2.5178932542031034,
0... | {
"n_parameters": 50,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 35 |
996e31268f5064c2e524b73867a52aca | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target":... | {"states": [2, 1023], "expectation_value": -13.971001756870942, "params": [[[0.1015, -0.9749000000000001], [0.0026000000000000003, 0.1965], [0.0025, 0.0026000000000000003], [0.0024000000000000002, -0.0025], [0.0028, 0.0031000000000000003], [0.0036000000000000003, 0.0032], [0.0025, -0.0031000000000000003], [-0.002600000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(10) @ Z(4)) + -0.5 * (Z(10) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.045013208706980654) q[0];
ry(-0.013288808378237513) q[1];
ry(-0.033322988285648766) q[2];
ry(-0.002734028537983618) q[3];
ry(0.015239319485252562) q[4];
ry(0.018497789998296287) q[5];
ry(-0.033322988285648766) q[6];
ry(-0.013384542383208034) q[7];
ry(-0.010793693... | 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",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIZIIIIZI",
"IIIIZIIIZII",
"IIIIZZIIIII",
"ZIIIIIZIIII",
"ZIIIIIIIIZI",
"ZIIIIIIIZII",
"ZIIIIZIIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"ZIIZIIIII... | [
-0.25,
-0.75,
-0.25,
-0.25,
-1,
0.5,
-1,
-0.25,
-1,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.75,
-0.75,
-0.5,
-1,
-1,
-0.5,
-0.25,
-1,
-0.25,
-4,
1.5,
0.25,
0.75,
-0.5,
1.5,
2.5
] | 0.97061 | [
-0.045013208706980654,
-0.013288808378237513,
-0.033322988285648766,
-0.002734028537983618,
0.015239319485252562,
0.018497789998296287,
-0.013384542383208034,
-0.01079369324936887,
0.09637430351645462,
-0.042158241329410345,
-0.8708328615555048,
0.27481287050298236,
-0.005708321092023162,
... | {
"n_parameters": 50,
"n_qubits": 11,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 70 |
36687e626672800d8a86828a1018bcb8 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [169, 681], "expectation_value": -7.539161787004078, "params": [0.7982, 0.8007000000000001, 0.2399, 0.24530000000000002, 0.8052, 0.8051, 0.0004, 0.005200000000000001, 0.8107000000000001, 0.8112, -0.022600000000000002, -0.0167, 0.8101, 0.809, 0.0039000000000000003, 0.0037, -0.015700000000000002, -0.0083, 0.80... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["0101010110"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.3581093284201937) q[0];
rz(-0.2118048004938532) q[0];
ry(-0.13298931004256595) q[1];
ry(1.4565118110158133) q[2];
ry(0.1073429120471398) q[3];
ry(1.1647295267814375) q[4];
ry(0.017926295015395666) q[5];
ry(1.5871659425458464) q[6];
ry(0.21504398744024472) 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": []} | [
"IIIIIIIIZZ",
"IIZIIIIIIZ",
"IIIIIIZIZI",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZIIIIIZIII",
"IIZIIIIZII",
"IIZIZIIIII",
"IIIIZIZIII",
"IIIIZIIZII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"IIZIIZIIII",
"IIIIIZZIII",
"IIIIZZIIII",
"IZIIIZIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
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,
-1,
-0.5,
-3,
-2,
-1.5,
-1,
-2,
-2,
-1.5,
-0.5
] | 0.9719 | [
1.3581093284201937,
-0.13298931004256595,
1.4565118110158133,
0.1073429120471398,
1.1647295267814375,
0.017926295015395666,
1.5871659425458464,
0.21504398744024472,
-0.06026155859249155,
1.4176683129447736,
-0.4236096009877064,
-0.5592554351096883,
0.6631700681509034,
0.024555232932161386,... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 16 |
86094013d4629b9fc69d6709b030b695 | 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": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [455, 391], "expectation_value": -76.69690095165548, "params": [[[0.1661, 0.0315], [2.5052000000000003, -0.0129], [2.4988, 0.0021000000000000003], [1.5674000000000001, -0.0023], [0.0031000000000000003, -0.0032], [0.0033, -0.0033], [-1.5682, 1.5726], [0.28340000000000004, 1.5723], [2.4915000000000003, 0.3749]... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(0) @ Z(8)) + 9.0 * Z(3) + 17.0 * Z(2) + 16.0 * Z(1) + -6.0 * Z(4) + -6.5 * Z(6) + 13.0 * Z(... | 15 | 10 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["1001111000"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.07361491739299776) q[0];
ry(3.235589128406576) q[1];
ry(3.0067480402284232) q[2];
ry(0.18587521423543119) q[3];
ry(0.2229255538338436) q[4];
ry(-0.017111307017680107) q[5];
ry(-3.0116086283997543) q[6];
ry(0.01760826727239706) q[7];
ry(3.1715679446261538) 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIZIIIZII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IZIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
9,
17,
16,
-6,
-6.5,
13,
17,
-5,
14,
-6
] | 0.978056 | [
0.07361491739299776,
3.235589128406576,
3.0067480402284232,
0.18587521423543119,
0.2229255538338436,
-0.017111307017680107,
-3.0116086283997543,
0.01760826727239706,
3.1715679446261538,
0.15536141221278726,
-0.1337323451550464,
-0.01896485370439473,
0.007954562159250105,
0.0182991705877478... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 85 |
d576b64149ed4af7fd9893f4ff01f3b9 | 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": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -0.0628761486879188, "params": [[0.031100000000000003], [-0.0347]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0041544506947732715, 0.004172002927861244], "optimization_time": 4.2621331214904785} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06203454328157315) q[0];
rz(1.7887330621738506) q[0];
rx(0.22753164172954793) q[1];
rz(1.5181402961268304) q[1];
rx(-0.16557256063745113) q[2];
rz(1.758778103001907) q[2];
rx(0.0833675557820221) q[3];
rz(1.780349234902019) q[3];
rx(-0.11709564333793254) q[4];
rz(1.... | 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[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[2], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII"
] | [
-0.25,
-0.75,
-0.25,
-0.75,
1.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
0,
-0.25,
0.25,
-0.25,
1.5,
-1,
0.5,
-0.75
] | 0.971621 | [
0.06203454328157315,
0.21793673537895467,
0.22753164172954798,
-0.05265603066806612,
-0.16557256063745113,
0.18798177620701023,
0.0833675557820221,
0.20955290810712235,
-0.11709564333793253,
0.3585331632266594,
-0.14002182277844039,
0.5406853858436055,
-0.026565483873495943,
0.331897582781... | {
"n_parameters": 86,
"n_qubits": 8,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 8 |
30817b6a61eae6109bfdbb2e6204f6e8 | 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}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [25, 153], "expectation_value": -11.904326708306396, "params": [0.0012000000000000001, 0.5862, 0.8939, 0.0004, -0.0028, 0.6103000000000001, -0.0291, -0.011300000000000001, 0.6788000000000001, 0.2023, 0.8968, -0.0006000000000000001, -0.0023, -0.40130000000000005, 0.0002, 0.2192, 0.9126000000000001, 0.00360000... | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6930296194241141) q[0];
h q[1];
ry(0.7825623435142364) q[1];
h q[2];
ry(-1.3860592388482282) q[2];
h q[3];
h q[4];
h q[5];
ry(1.57261848360949) q[5];
ry(-0.5317628050156856) q[6];
rz(-pi) q[6];
rz(-pi) q[7];
ry(-0.03418194375268747) q[7];
h q[8];
cx q[8], ... | 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": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IZIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII"
] | [
-1,
-1,
-1.5,
-0.5,
2.75,
-0.75,
-1.25,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-0.25,
-4.5,
0.5,
0.75,
0.25,
1.25,
1,
2.25
] | 0.964955 | [
-1.0536326399802303,
-1.3860592388482282,
0.029198236402038676,
1.8960357997707717,
-0.4401858692181388,
1.57261848360949,
-0.5690085847745243,
-0.002427722158642418,
-1.6291077484649936,
1.5651246870284727,
0.03936573239828063,
-2.271843555616953,
-3.39068333703899,
1.781336466513601,
0... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 500 |
c513b3f9e92fab9360fc637fed72bb83 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.312685140414953, "params": [0.0033, 0.0017000000000000001, 0.0026000000000000003, 0.005, 0.0024000000000000002, 0.0086, -0.0024000000000000002, 0.0022, 0.0023, 0.0011, 0.0026000000000000003, 0.0034000000000000002, 0.0026000000000000003, 0.005, 0.0024000000000000002, 0.0007, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.2006787591129485) q[0];
rz(1.5111373121971567) q[0];
rx(0.008533205045735058) q[1];
rz(1.7868635420623642) q[1];
rx(-0.011585748536171918) q[2];
rz(1.5898520776238634) q[2];
rx(-0.08394752394391941) q[3];
rz(1.8689766124662555) q[3];
rx(0.008533205045735057) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIIZZI",
"ZIIIIIIZII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IIIIZIIZII",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIZIIZIIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IZIIIIIZII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
0.75,
1,
0,
-0.25,
-0.5,
-0.25,
0,
-0.25
] | 0.978625 | [
-0.20067875911294852,
-0.05965901459774062,
0.008533205045735057,
0.21606721526746786,
-0.01158574853617192,
0.019055750828967807,
-0.08394752394391941,
0.29818028567135796,
0.15390388893321932,
-0.012954804646189033,
0.37586173891171687,
-0.12008364184354088,
0.18731012752276124,
-0.13200... | {
"n_parameters": 124,
"n_qubits": 10,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 8 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1751, 1623], "expectation_value": -7.485170014837302, "params": null, "bitstrings": ["00100101000", "00110101000"], "total_optimization_steps": 100, "probabilities": [0.49730634434571963, 0.49730634434571963], "optimization_time": 308.51588249206543} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] 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];\nry(1.5708) q[9];\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] = me... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
-6975250947239387511 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2, 5], [1, 2, 4, 5], [3, 4], [0, 1, 2, 4, 6], [1, 5, 6], [2, 3, 6]]} | {"states": [121, 117], "expectation_value": -2.0097314405181317, "params": null, "bitstrings": ["0000110", "0001010"], "total_optimization_steps": 41, "probabilities": [0.08062417209679558, 0.8325233351647677], "optimization_time": 61.8151969909668} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.25 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["0001010", "1000101"], "largest_eigenvalue": 6.5} | 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[1];
rz(-0.0030633008494074404) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.9272673386071678) q[6];
cx q[3], q[6];
cx q[1], q[6];
cx q[3], q[2];
rz(-0.0030633008494074404) q[2];
cx q[3], q[2];
cx q[3], q[4]... | 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(1.5055) 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", "... | [
"IIIZIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIIIZZ",
"ZIIIIIZ",
"IIIZZII",
"IIIIZZI",
"ZIIIZII",
"IIIIZIZ",
"IZIIIZI",
"ZZIIIII",
"IZIIIIZ",
"IZIIZII",
"IIZZIII",
"IIZIIZI",
"ZIZIIII",
"IIZIIIZ",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IZI... | [
0.16666666666666666,
0.3333333333333333,
0.3833333333333333,
0.05,
0.05,
0.16666666666666666,
0.13333333333333333,
0.21666666666666667,
0.21666666666666667,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.5,
0.13333333333333333,
0.05,
0.05,
0.13333333333333333,
0.08333333... | 0.833132 | [
-0.0030633008494074404,
-0.9272673386071678,
-0.002775666635918985,
0.0007032803208384783,
-0.00002678643658915993,
-0.0006486632865159301,
-0.000002414304745018424,
-0.04026405654265131,
-0.00006468993994661478,
-1.5709791182612352,
1.5085738723375905,
1.5703457082249315,
-1.570559741444322... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -2.0833333333333335,
"target_ratio": 0.97,
"target_value": -2.0208333333333335
} | 347 |
48bc2fe3cb79b98fee18d505d1ebe59b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [3551, 3547], "expectation_value": -1.795739580826807, "params": [[[0.1852, -0.3554], [0.7567, 0.0032], [0.8994000000000001, -0.0021000000000000003], [0.2932, 0.2947], [0.9016000000000001, 0.0037], [0.7707, -0.0026000000000000003], [0.8036000000000001, -0.0021000000000000003], [0.2028, -0.3452], [0.8921, -0.... | 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(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 1 | 13 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) 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": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIZZIII",
"IIIIIIIIZZIIZ",
"IIIIIIZZIIIII",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZZZIIIII",
"IIIIIIIIIZIZI",
"IIIIZIIIIIIZI",
"IIIZIIIIIIIZI",
"IIIIZIIIIZIII",
"IIIZIIIIIZI... | [
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,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.... | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
a55dfc52bccd46d89bba447f69a5de2b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -16.151189551443924, "params": [[[0.0021000000000000003, 1.6141], [0.0021000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.002], [0.0023, 0.002], [0.0031000000000000003, 0.0033], [0.0026000000000000003, -0.0027], [0.0021000000000000003, -0.0014], [0.00170000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 1.0 * Z(4) + -1.0 * Z(5) + 0.5 * Z(7) +... | 15 | 9 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000000", "000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.026620245578936646) q[0];
ry(-0.026620245578936646) q[1];
ry(0.05529384782230974) q[2];
ry(0.05959584666451113) q[3];
ry(0.1854414183048811) q[4];
ry(0.35377018451377573) q[5];
ry(-0.026620245578936646) q[6];
ry(0.12887532463189824) q[7];
ry(0.05529384782230974) 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] 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;
ry(x0) q[0];
ry(x0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.971165 | [
-0.026620245578936646,
0.05529384782230974,
0.05959584666451113,
0.1854414183048811,
0.35377018451377573,
0.12887532463189824,
2.821100521176449,
0.12780448971710473,
0.06675329022303422,
0.1168834786873384,
0.2839857231547881,
-0.08649115710276156
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 15 |
bbe36c72142a04c8b1698fed3f77c25c | vertex_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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [16, 19], "expectation_value": -3.999971823125694, "params": null, "bitstrings": ["01111", "01100"], "total_optimization_steps": 22, "probabilities": [1.3834265384826307e-05, 0.9999858819924361], "optimization_time": 15.037503957748413} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | 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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZZII",
"ZIIZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | qaoa | {"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": [110, 109], "expectation_value": -16.96258681793835, "params": [[-0.033, -0.0155], [0.0684, 0.0743]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01142086635536989, 0.014646177691449682], "optimization_time": 3.077134847640991} | 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 * ... | 1 | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"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 |
e05275d14653e116f32640e6b82829a5 | matching | 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": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -73.46360288189396, "params": [0.7351000000000001, -0.449, 1.5791000000000002, 0.0028, 1.5746, 0.003, 1.574, -0.0013000000000000002, 1.5769, 0.0161, -0.0022, 1.2396, 1.6185, 0.2546, 0.36160000000000003, 0.6805, 0.2922, 0.6931, 0.7405, 0.0008, 1.5733000000000001, 0.0023, 1.570... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"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,
19,
13.5,
11,
13,
16,
9,
-3,
6,
3.5
] | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
fbed7eb759f2b5af245b5b20e03cfb23 | edge_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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2524, 3549], "expectation_value": -3.3670097244833395, "params": null, "bitstrings": ["011000100011", "001000100010"], "total_optimization_steps": 100, "probabilities": [0.06354121638124433, 0.6661658043842997], "optimization_time": 625.357314825058} | 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)) + 0.0625 * (... | 1 | 12 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["000101000100", "001000010100", "010000100001", "000100101000", "001000100010", "100000000101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] 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];\nry(1.3016) 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];\... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
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,
0.0... | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
292f671a258eb8e474d3639931b1d5a8 | 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": [543, 542], "expectation_value": -133.5884271727836, "params": [-0.0025, 0.006500000000000001, -0.0024000000000000002, 0.0068000000000000005, 3.0932, 0.0038, 0.2954, 0.0059, -0.0025, 0.009300000000000001, 0.0029000000000000002, 0.0018000000000000002, 1.0512000000000001, 0.0019, 3.0901, 0.0051, 3.0966, 0.0073... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(5) @ Z(9)) + 17.5 * Z(2) + 2.0 * Z(3) + ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-149.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -130.5, "smallest_bitstrings": ["110111100001"], "largest_eigenvalue": 248.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.07060474830191492) q[0];
rz(0.08563890195867163) q[0];
rx(-0.12681002015587345) q[1];
rz(-0.09006013453008022) q[1];
rx(3.0685721783659416) q[2];
rz(0.07509393591882078) q[2];
rx(0.2363661797208296) q[3];
rz(0.1884780875346809) q[3];
rx(0.0706047483019149) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIZIIIIZIII",
"IIIZIZIIIIII",
"IIIIZIIIIZII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"IZIIIZIIIIII",
"ZIIIIIIIIZII",
"ZIIIZIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"ZIZIIIIIIIII",
"IIZIIIZIIIII",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIZIIIIIIII",
"IIIIIZIIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
17.5,
2,
16.5,
10.5,
24,
16,
20,
15,
-5.5,
-11.5,
-13.5,
-10
] | 0.971144 | [
0.0706047483019149,
0.039812123159012405,
-0.12681002015587345,
-0.09006013453008022,
3.0685721783659416,
0.07509393591882078,
0.2363661797208296,
0.1884780875346809,
-0.3291240193429747,
-0.011835006451774311,
0.06233886716426433,
0.36431493317213604,
-0.07783906083163611,
3.0932045934699... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -149.5,
"target_ratio": 0.97,
"target_value": -145.015
} | 9 |
f156f991f453bf2551660b1dc00bf1f6 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [129, 1], "expectation_value": -12.423300207854902, "params": null, "bitstrings": ["101111110", "111111110"], "total_optimization_steps": 32, "probabilities": [0.31829862415377586, 0.4859265827965531], "optimization_time": 39.28148865699768} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12570712515330748) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.12570712515330748) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.22704783355376354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.22704783355376354) q[4];
c... | 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(-1.5577) 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] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIZIII",
"IZZIIIIII",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.5,
-0.5,
-1,
-1,
-0.75,
-1,
-0.75,
-1,
-0.25,
-1,
-1.5,
-1,
-1,
-1,
-0.75,
3,
-1,
-0.25,
-3.5,
-0.25,
-0.75,
1.5,
1.5,
-2,
-0.25,
2,
1.75
] | 0.569152 | [
-0.12570712515330748,
-0.22704783355376354,
-0.5549918258138725,
-0.37992434425719607,
-1.068212924335073,
0.9192695580131233,
-1.396744275441003,
0.02980346737333757,
-1.107224868469489,
0.40004090429014577,
0.8474854472406951,
-1.0331853808194436
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 285 |
5824ffa6b73ef6ad0ee2303e68693ae5 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [255, 127], "expectation_value": -22.003232761140026, "params": [[[1.5791000000000002, 0.0051], [0.0024000000000000002, 0.0078000000000000005], [0.0025, 0.0041], [0.0023, 0.00030000000000000003], [-0.0027, 0.0037], [-0.0074, 0.0005], [0.003, 0.0002], [3.1617, 0.0076]]], "bitstrings": ["00000000", "10000000"]... | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.208624356508972) q[0];
ry(0.3445826733055093) q[0];
rz(0.3425534279700724) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.06813779975224218) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.1150220041142146) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.06813779975224218) 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] ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
-2.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972363 | [
0.06813779975224218,
-0.1150220041142146,
0.05850225544978922,
-0.18272903475547075,
1.574167388603061,
-1.246989840947977,
-1.6907699301091281
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 26 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [12, 5], "expectation_value": -0.05027181584266801, "params": [[-0.0024000000000000002, -0.0666], [-0.0533, 0.0649]], "bitstrings": ["110011", "111010"], "total_optimization_steps": 10, "probabilities": [0.016467572396584907, 0.016718464092514408], "optimization_time": 3.3987112045288086} | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ 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(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"], "largest_eigenvalue": 5.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | 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": []} | [
"IIIZZI",
"IIZIZI",
"IIIIZZ",
"IIZZII",
"IIIZIZ",
"IIZIIZ",
"IIZZZI",
"IIIZZZ",
"IIZIZZ",
"IIZZIZ",
"IIZZZZ",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
0.125,
-0.625,
-0.75,
-0.25
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
d315d70b641adb2c12afcb5c124b2e90 | 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": [85, 93], "expectation_value": -50.33930713770066, "params": [[[0.6891, 0.465], [-0.12860000000000002, 0.2298], [0.6977, 0.4041], [0.4666, 0.6493], [0.299, 0.6877], [0.5911000000000001, 0.4882], [0.3267, 0.5829], [0.6302, 0.6996], [0.6393, 0.4791]], [[0.6925, 0.4681], [-0.15510000000000002, 0.4707], [0.69290... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 22.5 * Z(2) + -2.5 * Z(1) + 22.0 * Z(5) + 12.0 * Z(3) + 16.5 * Z(4) + 4.0 * Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["110100010"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.7167352845335013) q[0];
ry(-1.7012929288285947) q[1];
ry(1.5572665579533362) q[2];
ry(1.5760146588361008) q[3];
ry(1.6139615629904) q[4];
ry(1.6139615629904) q[5];
ry(1.5329306074885112) q[6];
ry(1.5760146588361008) q[7];
ry(1.5572665579533362) q[8];
cx q[8], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIZIIZII",
"IIIIIZZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIZZIIII",
"IIIIZZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
22.5,
-2.5,
22,
12,
16.5,
4,
5.5,
16.5,
-9
] | 0.970486 | [
1.7167352845335013,
-1.7012929288285947,
1.5572665579533362,
1.5760146588361008,
1.6139615629904,
1.5329306074885112,
1.627834796096383,
1.5575690413635173,
1.5683634593132936,
1.6288264753848587,
1.6769404391029936,
4.8168047412874975,
-0.09316033539628957,
-1.6477660676039558
] | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 2 |
c0497b20d0e680cacc77174a13e8b8b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [230, 118], "expectation_value": -27.8332705564731, "params": [[-0.031100000000000003, -0.006, -0.0066, 0.0152], [0.057100000000000005, 0.048400000000000006, 0.0678, 0.0626]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.016534544365751823, 0.023422784435384526]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | 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[1];
rz(-0.0034026311700899) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0034026311700899) q[0];
cx q[6], q[0];
rz(0.08707718680774468) q[0];
rx(1.6068609355902328) q[0];
cx q[6], q[4];
rz(-0.00340263117008... | 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",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIZII",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"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,
20.5,
7,
12.5,
6,
9.5,
14,
17,
1
] | 0.970369 | [
-0.0034026311700899,
-0.26301475790782497,
0.08707718680774458,
1.5595170852256997,
1.5988629064548665,
1.6068609355902328,
-1.5706328661308941,
1.6822012540344695,
-0.1845861633258411,
1.1352603352915303,
0.43534770012848195,
-0.05375233225482663,
-0.1953687365154703,
3.189745870967778,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 166 |
51eecc850dfeb03891b9febfba2bcbf1 | 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": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1097, 5194], "expectation_value": -75.80133801559802, "params": [[0.4031, 0.1852, 0.40140000000000003, -0.0366, 0.0005, 0.0262, 0.3987, 0.001, 0.1968, 0.4091, -0.0151, 0.4031, 0.2621], [0.4015, 0.1862, 0.40130000000000005, -0.0281, -0.00030000000000000003, 0.08120000000000001, 0.4037, 0.001, 0.1962, 0.40280... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(6) @ Z(1)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(9)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(12) @ Z(0)) + 8.5 * (Z(11) @ Z(2)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(12)) + 9.0 * Z(0) + 3.5 * Z(1) + -6.0 * Z(3) + 17.5 * Z(2) + 7.0 * Z(6) + -5.5 ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-162.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -135.0, "smallest_bitstrings": ["0101110110101"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.9106818554276377) q[0];
ry(-0.03696165435040083) q[1];
ry(0.5840506563178185) q[2];
ry(-0.5055556244904696) q[3];
ry(-0.12624894701698008) q[4];
ry(0.067051296827851) q[5];
ry(0.35553457305199176) q[6];
ry(0.041945672210664184) q[7];
ry(0.09238480352238426) q[8];
... | 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZZII",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIZIIIIIZII",
"IIIZIZIIIIIII",
"IIZZIIIIIIIII",
"ZIIIIIIIIIIIZ",
"IZIIIIIIIIZII",
"IZIIZIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIIIZ",
"IIIIIIIIIIIZI",
"IIIIIIIIIZIII",
"IIIIIIIIIIZII",
"IIIIIIZIIIIII",
"IIIIIIIZIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
9,
3.5,
-6,
17.5,
7,
-5.5,
2.5,
7.5,
-6.5,
-5.5,
2,
15,
-14
] | 0.980041 | [
0.9106818554276377,
-0.03696165435040083,
0.5840506563178185,
-0.5055556244904696,
-0.12624894701698008,
0.067051296827851,
0.35553457305199176,
0.041945672210664184,
0.09238480352238426,
0.5243596646683232,
-0.06159288764187626,
-0.003539493554550143,
0.7830173967749998,
-0.04821740802143... | {
"n_parameters": 61,
"n_qubits": 13,
"optimal_eigenvalue": -162,
"target_ratio": 0.97,
"target_value": -157.14
} | 41 |
4755273824363800903 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [0, 7], [4, 7], [1, 5], [1, 3], [0, 6], [0, 2], [4, 5], [5, 7], [2, 6], [3, 6], [4, 6], [2, 5], [8, 7], [3, 5], [3, 4], [1, 4], [5, 6]]} | {"states": [198, 313], "expectation_value": -0.08480383430666544, "params": [[-0.0438], [0.054700000000000006]], "bitstrings": ["100111001", "011000110"], "total_optimization_steps": 10, "probabilities": [0.0021441930728538132, 0.0021441930728538132], "optimization_time": 5.4564049243927} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100011001", "100111001", "011000110", "011100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.21115608178303932) q[0];
ry(-2.986654252842112) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8489741859184256) q[2];
h q[3];
ry(-0.30737585519380745) q[3];
h q[4];
h q[5];
ry(-0.21115608178303932) q[5];
cx q[4], q[5];
ry(0.21115608178303932) q[5];
cx q[4], q[5];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[7];
rz(x0) q[7];
cx q[4], q[7];... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZII",
"IIIIIIZIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIZI",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZIIZIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
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
] | 0.973355 | [
-0.42231216356607865,
1.493998006395347,
1.697948371836851,
-0.8020184593913401,
-0.5352966479876372,
-1.162206583354389,
1.2897451566486657,
-1.330053089792273,
1.2550412186319686,
0.13750409861263227,
-0.4876165394023457,
0.25222553879709925,
-0.6147517103876149,
-0.5330556488217082,
-... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
756d3d75bc595261d2d71e6ce1da2290 | 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": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [40, 41], "expectation_value": -2.30326846566553, "params": [[[0.1716, 0.11420000000000001], [0.4055, 0.0022], [0.006200000000000001, 0.19060000000000002], [0.4068, 0.0021000000000000003], [0.0033, 0.30960000000000004], [0.0038, 0.2596], [0.399, 0.0031000000000000003]], [[0.1757, 0.1143], [0.4022, 0.0022], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(1)) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-3.1338857358335) q[1];
h q[2];
ry(-0.5495864328688317) q[2];
cx q[0], q[2];
ry(0.5495864328688317) q[2];
cx q[0], q[2];
ry(1.072113664172264) q[0];
ry(-0.6043302756706039) q[2];
h q[3];
ry(1.5675370816886918) q[3];
h q[4];
ry(1.5670727524580514... | 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": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-0.5,
-0.125,
-0.75,
-0.125,
-0.75,
-0.625,
0.125
] | 0.995006 | [
-1.4177423017673916,
-1.5120016892075459,
1.5670727524580514,
1.5675370816886918,
-1.0991728657376634,
0.7345278817596457,
-0.24050535976088688,
-0.33733855362944315,
0.6751715648252363,
-0.5339834440823218,
0.10410437489350649,
-0.09932875554942433,
0.021932325724995955,
0.057329098589386... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
57ee338fb11c54f5732d695ad617aa60 | 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": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -0.7712226916491545, "params": [[-0.043300000000000005], [0.0504]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0025801168482642973, 0.002592103762957923], "optimization_time": 3.024535894393921} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.026037201523532453) q[0];
ry(0.07677635512812162) q[1];
ry(0.012602255190097979) q[2];
ry(0.026037201523532453) q[3];
ry(-0.020069688422389816) q[4];
ry(0.0025937168665490853) q[5];
ry(0.03728218439050954) q[6];
ry(-1.5068054265156994) q[7];
ry(0.9901545258385747) ... | 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... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIIZI",
"... | [
-0.75,
1,
-0.75,
-1.25,
-1.5,
-0.25,
-1.25,
-0.25,
-3.25,
-0.5,
-0.25,
-1,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1.75,
-0.75,
-0.5,
-1,
-0.25,
-2,
-2.75,
-0.75,
-0.25,
2.25,
0.5,
4.25
] | 0.9701 | [
0.026037201523532453,
0.07677635512812162,
0.012602255190097979,
-0.020069688422389816,
0.0025937168665490853,
0.03728218439050954,
-1.5068054265156994,
0.9901545258385747,
0.06705241330472257,
0.5298011616617547,
0.0028943982304770015,
0.0064044464684036954,
0.004155345700322215,
-0.00905... | {
"n_parameters": 47,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 73 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [10, 40], "expectation_value": -0.6743828056692873, "params": [[0.0345, 0.0455, 0.0731, 0.0659], [-0.033600000000000005, -0.023200000000000002, -0.0504, -0.0477]], "bitstrings": ["110101", "010111"], "total_optimization_steps": 10, "probabilities": [0.021411058349887425, 0.021411058349887456], "optimization_... | 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(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1,
-0.5,
0
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
b922dc20ae6c958f0b213c99c6c101fe | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [111, 107], "expectation_value": -45.218082160371495, "params": [0.4728, 0.3886, 0.894, 0.0693, 0.8954000000000001, 0.21180000000000002, 0.27090000000000003, 0.5033, 0.8981, 0.1689, 0.6116, 0.30010000000000003, 0.8919, 0.231, 0.887, 0.2087, 0.47140000000000004, 0.3524, 0.9003, 0.10790000000000001, 0.90150000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(6) @ Z(5)) + 8.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 1.5 * Z(3) + 13.0 * Z(4) + 12.5 * Z(7) + 11.0 * Z(5) + 10.0 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 139.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.02814131827302172) q[0];
rz(0.46221014373147584) q[0];
rx(1.3008257478668037) q[1];
rz(0.1864651378553152) q[1];
rx(1.0159671403773831) q[2];
rz(0.487792826686928) q[2];
rx(-0.05527160903282151) q[3];
rz(0.4530294235853674) q[3];
rx(1.0720076493221085) q[4];
rz(0.1... | 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"ZIIIIIZI",
"IIZZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
8,
5,
13,
1.5,
13,
12.5,
11,
10
] | 0.973444 | [
0.028141318273021715,
0.46457493090641394,
1.3008257478668037,
0.1864651378553152,
1.0159671403773831,
0.487792826686928,
-0.05527160903282151,
0.4530294235853674,
1.0720076493221085,
0.16623819726404782,
0.17033890633321488,
0.6343782046351134,
0.7343988903259743,
0.09889589739635535,
0... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -65,
"target_ratio": 0.97,
"target_value": -63.05
} | 17 |
9529baf1c272123f159cd9ccf2735587 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [29, 63], "expectation_value": -1.9999403854983835, "params": [[-0.0026000000000000003, 0.0024000000000000002, 0.0031000000000000003, 0.6856, 0.0033, -0.0024000000000000002, 0.0025], [1.5715000000000001, 0.0026000000000000003, 0.0027, 0.909, 0.0026000000000000003, 0.0019, -0.0028], [-2.3519, 1.3643, 0.7587, ... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 9 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
d342f36573e8f4be8484fccf8571b55a | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"sour... | {"states": [111, 79], "expectation_value": -5.685785514642368, "params": [-0.0018000000000000002, 0.44120000000000004, -0.0164, 0.3165, 0.9044000000000001, 0.0083, 0.6858000000000001, -0.1845, 0.0482, 0.014100000000000001, 0.9041, -0.0028, 0.9072, 0.002, 0.906, -0.0024000000000000002, 0.9101, 0.0026000000000000003, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -2.0 * Z(0) + 0.0 * ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110010100", "110110000"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.029951692677949403) q[0];
rz(1.9116540003965845) q[0];
rx(0.04363562008631845) q[1];
rz(2.056660689286657) q[1];
rx(1.397652547854545) q[2];
rz(1.5953619226007003) q[2];
rx(0.24247565553288697) q[3];
rz(1.4131168770172193) q[3];
rx(-0.015079619152898642) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIZZIII",
"IIIZZIIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
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,
-2,
0,
-1.5,
-1,
-0.5,
-0.5,
-1.5,
0
] | 0.976303 | [
-0.029951692677949407,
0.34085767360168884,
0.04363562008631845,
0.4858643624917605,
1.3976525478545447,
0.024565595805803184,
0.24247565553288697,
-0.15767944977767728,
-0.01507961915289864,
-0.0038570197753126714,
0.928248865982606,
0.0005964073115880958,
0.9689651403783367,
-0.167758160... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 16 |
ed01866ce53def5a36a69737a2fd120b | max_flow | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6522, 6426], "expectation_value": -9.454286803438844, "params": [[[-0.006200000000000001, 0.5926, 0.0076, 0.0035], [-0.0008, 0.6256, -0.0038, 0.0002], [0.7431, 0.0064, 0.0097, 0.0074], [0.17950000000000002, -0.0009000000000000001, 0.7395, 0.0066], [0.0008, 0.514, 0.00030000000000000003, 0.5158], [-0.0035, 0... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 12 | 15 | 4 | {"smallest_eigenvalues": [-10.333333333333227], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.33333333333315, "smallest_bitstrings": ["110011011100101"], "largest_eigenvalue": 24.66666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.129145857303265) q[0];
rz(-0.04281809130716757) q[0];
rx(3.3646756556499158) q[1];
rz(-0.07126208372567235) q[1];
rx(0.2591409259719783) q[2];
rz(0.304554161903536) q[2];
rx(0.009149764329273965) q[3];
rz(-0.1564246855355176) q[3];
rx(-0.039435622912399666) 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] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIIIIZ",
"IIIIIZIZIIIIIII",
"IIIIIIIZIIIIIIZ",
"IIIIIZZIIIIIIII",
"IIIIIIZIIIIIIIZ",
"IIIIIIZZIIIIIII",
"IIZIIZIIIIIIIII",
"IIIIZZIIIIIIIII",
"IIZIZIIIIIIIIII",
"IIIZIZIIIIIIIII",
"IIZZIIIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIZIIIIIIIIIIZI",
"IIIIZIIIIIIIZII",
"IIIZIIIIIIIIZII",
"... | [
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
-0.5,
1,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.4166666666666667,
-0.5,
-0.5,
0.5,
-0.08333333333333333,
1,
-0.08333333333333331,
-0.5,
0,
-1,
3,
3,
-0.08333333333333331,
1.8333333333333335,
1.8333333333333335... | 0.974438 | [
-0.129145857303265,
-0.04281809130716757,
3.3646756556499158,
-0.07126208372567235,
0.2591409259719783,
0.304554161903536,
0.009149764329273965,
-0.1564246855355176,
-0.039435622912399666,
-0.14455685554995432,
0.29369761094609903,
2.532166941005374,
-0.020718965674505502,
3.10609841605757... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 84.60365176200867} | 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(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | {"start_node": 0, "end_node": 4} | {"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(1.5681) 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",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
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,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
216fa3ac5e9f09e597390a38dc3f522d | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [42, 69], "expectation_value": -0.16703640596897254, "params": [[0.0668], [-0.0524]], "bitstrings": ["1010101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.008647069687253001, 0.008761151393385411], "optimization_time": 1.5536041259765625} | 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(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "0111010", "1010101", "1100101"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1783625631622077) q[0];
ry(-0.006706987331923493) q[1];
ry(1.9462553802040514) q[2];
ry(1.019265769797049) q[3];
ry(0.5361501555280688) q[4];
ry(1.8134832859913776) q[5];
ry(-0.30568723936358444) q[6];
ry(1.5188259262110946) q[7];
ry(-0.0974740111005822) q[8];
ry(... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
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(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
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,
-0.5,
-0.5,
-1,
-0.5
] | 0.97372 | [
1.1783625631622077,
-0.006706987331923493,
1.9462553802040514,
1.019265769797049,
0.5361501555280688,
1.8134832859913776,
-0.30568723936358444,
1.5188259262110946,
-0.0974740111005822,
-0.05723860341672066,
0.9475964644963719,
0.12470101392180558,
0.19935262936210102,
0.01926577938651311,
... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 40 |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.288233842091305, "params": [-0.0027, 1.2251, -0.0026000000000000003, 1.2174, -0.8253, 0.0727, 0.002, 1.482, 1.5699, -0.0027, 1.5673000000000001, 0.1996, -0.0028, 0.0014, -0.0029000000000000002, 0.0047, -0.8253, 0.005200000000000001, 0.0019, 0.007200000000000001, 1.5739, 0.005... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.6059711361663426) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.002835582251174708) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.6059711361663426) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.01656... | 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": 3} | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZZIIII",
"ZIIIIZ",
"IZIIZI",
"IIIIZZ",
"ZIIIZI",
"IZIZII",
"IIIZIZ",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IIZIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
2,
1,
0.5,
0.25,
1,
-0.5,
-0.5,
-1,
-0.5,
-1,
-1,
-2,
-1,
1,
2.5,
0.5,
5,
0.5,
-1,
-2
] | 0.927765 | [
-0.6059711361663426,
0.002835582251174708,
-0.005892897267408092,
1.9673946829852578,
-0.016569426499993246,
0.0007364663076169241,
-1.7704792450087574,
-1.8455644619428733,
0.2451053747201248,
-1.3001258169311252,
-1.066059710326319,
0.0004593878512842986,
-0.01598779461431634,
1.89697250... | {
"n_parameters": 20,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 500 |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [134, 7], "expectation_value": -5.527493399938464, "params": [[0.06280000000000001], [-0.0603]], "bitstrings": ["01111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005878608566983275, 0.006199950483202938], "optimization_time": 3.6313726902008057} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 3 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) q[4];... | 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;
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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
-0.0783377712412768,
1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
20a60ed013bc1976376f734be7d8d92c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [49118, 47070], "expectation_value": -18.8640610782367, "params": [[[0.0495, -0.002, 0.007, 0.0038], [0.9655, -0.8035, 0.8844000000000001, 0.0049], [0.027800000000000002, -0.46530000000000005, 0.0112, 0.16590000000000002], [0.049800000000000004, 0.1681, 0.3159, 0.7636000000000001], [0.0256, 0.120900000000000... | 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5... | 11 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999957], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["0100100000100001"], "largest_eigenvalue": 68.00000000000014} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIZIIZIIII",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
... | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -3.0854981079997823, "params": [[-0.0597, -0.0718], [0.07200000000000001, 0.0732]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.053117872021871064, 0.05311787202187108], "optimization_time": 3.1847851276397705} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
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] 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... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
2,
1.75,
2,
-2.5,
-2.75,
-3,
-2.5,
-2.25
] | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
25caa872a28c7633f669573343fe00e2 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [421, 437], "expectation_value": -4.212170628000605, "params": [[[0.0027, 0.0044], [3.1385, 0.0018000000000000002], [3.1398, 0.006200000000000001], [-0.0027, 0.0013000000000000002], [3.1385, 0.0008], [1.6353, 0.0045000000000000005], [-0.0018000000000000002, 0.0035], [3.1396, 0.0086], [0.3705, 0.0052000000000... | 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)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(1) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["1001001010", "1001010001"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03673707300304302) q[0];
rz(0.11095208980048218) q[0];
rx(2.9270576572989655) q[1];
rz(-0.05133763277128331) q[1];
rx(3.152546147893223) q[2];
rz(-0.29128762990264245) q[2];
rx(0.03777859603948279) q[3];
rz(0.1277788358440399) q[3];
rx(2.9270576572989655) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIZI",
"IIIZIZIIZI",
"IIIZZIIIZI",
"IIIZZZIIII",
"IIIZZZIIZI",
"IIZIIIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IZZIIIIIII",
"ZIZIIIIIII"... | [
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,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.75,
0.125,
0.125,
-0.... | 0.976261 | [
-0.03673707300304302,
0.11095208980048218,
2.9270576572989655,
-0.05133763277128331,
3.152546147893223,
-0.29128762990264245,
0.03777859603948279,
0.1277788358440399,
0.18213581625113037,
2.585785382602174,
0.1383590780761097,
-0.11730052514214118,
0.18835774128197416,
3.2280487465842693,
... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 8 |
3089006415682407251 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [4, 7], [3, 6], [1, 6], [0, 7], [0, 4], [5, 7], [0, 3], [2, 6], [2, 7], [0, 2], [2, 3], [4, 6], [3, 5], [0, 5]]} | {"states": [166, 46], "expectation_value": -3.142277143075787, "params": null, "bitstrings": ["01011001", "11010001"], "total_optimization_steps": 67, "probabilities": [0.056148271389357546, 0.7691672891256283], "optimization_time": 93.63609766960144} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["00101110", "01011001", "01101100", "10100110", "10000110", "10000011", "01111001", "01111100", "10010011", "11010001"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6187503137244247) q[0];
h q[1];
ry(-0.7690825511422056) q[1];
h q[2];
ry(0.8224172131270159) q[2];
h q[3];
ry(-0.22589753428175247) q[3];
h q[4];
cx q[4], q[0];
ry(0.6187503137244247) q[0];
cx q[4], q[0];
ry(-0.3268606001994062) q[0];
ry(0.748802305340994)... | 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];\ncry(-1.0342) q[6], q[7];\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... | [
"ZZIIIIII",
"ZIIZIIII",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"ZIIIIIIZ",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIZIIIII",
"IIZIZIII",
"IIZIIIIZ",
"ZIIIIZII",
"IZIIIZII",
"IIIIZZII",
"IIIIIZIZ",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"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,
0,
0,
0,
0,
0,
0,
0
] | 0.973838 | [
-0.45179506856350493,
1.4839054409407806,
1.6448344262540318,
-0.9213400544941912,
-0.6885331102018013,
1.2618284780995837,
-1.5381651022844112,
-0.35412302771149323,
0.26793020446876187,
-1.2375006274488494,
0.5290083106228124,
-0.6537212003988124,
0.43958798943636335,
-0.5181583186641232... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 14 |
051f85a864e08806dcf14439f31a57f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [289, 353], "expectation_value": -5.52991619114322, "params": [0.5251, 0.5322, -0.005, 0.0026000000000000003, 0.2751, 0.268, 0.5312, 0.5303, 0.0043, 0.0027, -0.0041, -0.0059, -0.0017000000000000001, -0.0016, -0.0006000000000000001, -0.0094, 0.5339, 0.527, 0.5288, 0.5319, -0.004, -0.0009000000000000001, 0.27,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["010011110", "110001110"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.5198284670645078) q[0];
rz(-0.019821928248656355) q[0];
ry(-0.01700188893330118) q[1];
ry(0.49485199965052723) q[2];
ry(0.6270935011311175) q[3];
ry(-0.06018906078921755) q[4];
ry(-0.22800439110549758) q[5];
ry(-0.16839238194535694) q[6];
ry(-0.04617551648517619) q... | 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] 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 flo... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIIIZIIZI",
"IIIZIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIZIZIIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
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,
-0.5,
-1,
-1.5,
-1.5,
-0.5,
-1,
-1,
0
] | 0.979682 | [
0.5198284670645078,
-0.01700188893330118,
0.49485199965052723,
0.6270935011311175,
-0.06018906078921755,
-0.22800439110549758,
-0.16839238194535694,
-0.04617551648517619,
0.6838721722074601,
-0.03964385649731271,
-0.282188508191605,
0.48994000874319704,
0.5389678361653553,
-0.2412794158634... | {
"n_parameters": 102,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 3 |
4414867571136143966 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 3, 5], [3, 5, 6], [1, 6, 7], [2, 3, 7], [1, 2, 3]]} | {"states": [221, 93], "expectation_value": -1.480691781691958, "params": [0.8747, 0.8045, 1.4868000000000001, 1.4939, 0.6272, 0.6063000000000001, 1.4918, 1.4891, 1.1184, 0.5275000000000001, 1.486, 1.4871, 1.4874, 1.4879, 1.4909000000000001, 1.4899, 1.0139, 1.4873, 1.4231, 0.6078, -0.12440000000000001, 0.2805, -0.148300... | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.18704322371134413) q[0];
h q[1];
ry(1.2530220838112014) q[1];
h q[2];
ry(-0.41394269599555183) q[2];
cx q[1], q[2];
ry(0.41394269599555183) q[2];
cx q[1], q[2];
ry(0.02825487802883335) q[1];
ry(-0.2696917692398946) q[2];
h q[3];
ry(1.5926636653983983) 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": []} | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIIIZZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,... | 0.976851 | [
1.5926636653983983,
1.2530220838112014,
-0.8278853919911037,
0.0565097560576667,
-0.5393835384797891,
0.6997642402920821,
0.8749931453728178,
-0.3414657324200969,
-0.5750356730248876,
0.4661499113456466,
-0.6712791990779794,
0.41169796366059586,
0.49414882173117,
-0.46008328359088724,
-0... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 1 |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -0.5250076128947091, "params": [[0.0536], [-0.047900000000000005]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00471832708132601, 0.004962840141918668], "optimization_time": 4.649542331695557} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) 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] 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] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [46, 77], "expectation_value": -0.17442130033641354, "params": [[0.0694, 0.0746], [-0.0538, -0.058800000000000005]], "bitstrings": ["1010001", "0110010"], "total_optimization_steps": 10, "probabilities": [0.010367401324253877, 0.01036740132425388], "optimization_time": 3.9249215126037598} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIIZ",
"IZIZIIZ",
"IZZIIIZ",
"IZZZIII",
"IZZZIIZ",
"ZZIIIII",
"ZIIIIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.5,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
9c58c5b77a3170e613a26f379fffeef6 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [166, 110], "expectation_value": -0.2063267674543352, "params": [[0.0765, 0.0816], [-0.06670000000000001, -0.0805]], "bitstrings": ["01011001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.005327940160620637, 0.005922883934572233], "optimization_time": 5.428466558456421} | 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(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IIIIZIZI",
"IIIZIIZI",
"IZIIIIZI",
"IIIZZIII",
"IZIIZIII",
"IZIZIIII",
"IIIZZIZI",
"IZIIZIZI",
"IZIZIIZI",
"IZIZZIII",
"IZIZZIZI",
"IIZIIZII",
"ZIIIIZII",
"ZIZIIIII",
"ZIZIIZI... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0.125,
0,
-0.625,
0.125,
0,
-0.125,
-0.25
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
9e8a866d2c0011b6946d4c64e758f31c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 124], "expectation_value": -35.19425731957327, "params": [[-0.0375, -0.0066, 0.0037, 0.0159], [0.06620000000000001, 0.059000000000000004, 0.06810000000000001, 0.06430000000000001]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.020195500687428553, 0.0248846... | 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(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIIIIZII",
"ZIZIIIII",
"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,
15.5,
12,
15.5,
16.5,
19.5,
16,
4.5,
3.5
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
5c069ce8f11218e714edeb10c2a636ea | 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}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16383, 4095], "expectation_value": -34.999715507536656, "params": [[[0.0023, 0.0029000000000000002], [1.5715000000000001, 0.0001], [-0.0024000000000000002, 0.0079], [0.0025, 0.0064], [-0.0025, 0.0079], [0.0033, 0.0061], [0.0029000000000000002, 0.0058000000000000005], [0.0021000000000000003, 0.0004], [0.0028... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) ... | 2 | 14 | 1 | {"smallest_eigenvalues": [-36.99999999999989], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.999999999999844, "smallest_bitstrings": ["11000000000000"], "largest_eigenvalue": 19.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(-0.09354423468136239) q[0];
rz(0.08532201330190205) q[0];
rx(2.1976187160740666) q[1];
rz(-0.14349540478422387) q[1];
rx(0.07766461808171696) q[2];
rz(0.26423045076944335) q[2];
rx(0.041987305549524366) q[3];
rz(0.14767485973142158) q[3];
rx(0.019802667942346915) 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[... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIZZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIZIZII",
"IIIIIIIIZIZIII",
"IIIIIIIIZIIZII",
"IIIIIIIIZZIIII",
"IIIIIIZZIIIIII",
"IIIIIZZIIIIIII",
"IIIIIZIZIIIIII",
"IIIIZIZIIIIIII",
"IIIIZIIZIIIIII",
"IIIIZZIIIIIIII",
"IIZZIIIIIIIIII",
"ZIZIIIIIIIIIII",
"ZIIZIIIIIIIIII"... | [
-1.5,
-2,
-2,
-2,
-2,
-2,
-2,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
-2,
-2,
1,
-2,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971214 | [
-0.09354423468136239,
0.08532201330190205,
2.1976187160740666,
-0.14349540478422387,
0.07766461808171696,
0.26423045076944335,
0.041987305549524366,
0.14767485973142158,
0.019802667942346915,
-0.0026409894733468303,
0.1413916094789941,
-0.08388748321659648,
-0.0700037450611294,
0.122011569... | {
"n_parameters": 22,
"n_qubits": 14,
"optimal_eigenvalue": -36.99999999999989,
"target_ratio": 0.97,
"target_value": -35.889999999999894
} | 10 |
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