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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
6504070776410965735 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 7], [2, 10, 4], [1, 4], [8, 4], [8, 1, 2], [11, 4], [0, 8, 2], [0, 8, 6], [8, 2, 10], [10, 3], [2, 7], [9, 4], [11, 5, 6], [1, 3], [0, 10, 11], [2, 6], [1, 5], [10, 11, 6], [4, 7], [2, 4, 5], [1, 11, 9], [0, 11, 7], [0, 5], [8, 1, 6], [8, 3, 5], [1... | {"states": [4088, 2552], "expectation_value": -4.747261553981601, "params": [1.8016, 0.0025, 1.1859, 0.6049, 0.9678, -0.6559, 1.7847000000000002, 0.0028, 1.7986, -0.0026000000000000003, 1.7897, -0.0029000000000000002, 1.8046, 0.0182, 1.79, -0.2034, 1.8049000000000002, 0.6783, 0.7154, -0.6255000000000001, 0.7497, 0.5903... | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(9)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(6) ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-8.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999997, "smallest_bitstrings": ["011000000111"], "largest_eigenvalue": 27.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1094477778793395) q[0];
rz(1.2638371388857674) q[0];
rx(-0.2868207900746418) q[1];
rz(2.457653960466594) q[1];
rx(-0.12865037877278182) q[2];
rz(0.6250139296163866) q[2];
rx(2.2487107871852148) q[3];
rz(1.6793075807155722) q[3];
rx(2.5319914733436644) q[4];
rz(1.6... | 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",
"IIZIIIZIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIZIIIZ",
"IIZIIIIZIIII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIZIZII",
"IIZIIZIIIIII",
"IIIIIZIZIIII",
"IIIIIZIIIZII",
"IIIIIIZIIIZI",
"IIIIIIIZIIZI",
"IIIIIZIIIIZI",
"IZIIIIZIIIII",
"IZIIIIIIIIIZ",
"IZIIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.... | 0.973394 | [
3.1094477778793395,
-0.30695918790912957,
-0.28682079007464184,
0.8868576336716971,
-0.12865037877278176,
-0.9457823971785106,
2.2487107871852148,
0.1085112539206754,
2.5319914733436644,
0.12554739671387066,
1.7316110050643116,
0.07943247210828719,
1.8419565800046251,
-0.04694088899818406,... | {
"n_parameters": 35,
"n_qubits": 12,
"optimal_eigenvalue": -8.666666666666668,
"target_ratio": 0.97,
"target_value": -8.406666666666668
} | 37 |
54a88e4bf9eba50970f4f6239c6ad816 | 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": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 255], "expectation_value": -0.16696180296584823, "params": [[0.059500000000000004], [-0.054400000000000004]], "bitstrings": ["110010000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0022521377432261347, 0.002278392274951797], "optimization_time": 2.7303547859191895} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3793360292258723) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5201896407098358) q[4];
cx q[1], q[4];
rz(-0.5201896407098361) q[4];
rx(-0.7670228702555436) q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(-0.37933... | 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
1.75,
-1,
-0.5,
0.75
] | 0.758041 | [
-0.3793360292258723,
-0.5201896407098358,
-0.38243772138101756,
0.3107532064049031,
-1.0193568042474141,
-0.10867563690290413,
1.2064359660083703,
-0.7234303447869407,
-0.7670228702555438,
0.8205618517798737,
0.9675232474993655,
0.5915471870437505,
-1.0311894401406954,
1.1821597172385196,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [9, 1], "expectation_value": -2.237866095037985, "params": [[0.0553, 0.0489, 0.042100000000000005, 0.0244], [-0.057100000000000005, -0.0473, -0.039, -0.0292]], "bitstrings": ["110110", "111110"], "total_optimization_steps": 10, "probabilities": [0.034108663449739396, 0.03490863381468987], "optimization_time"... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -2.25 * Z(3) + 0.75 * Z(2) + 1.5 * Z(5) + 1.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25, -10.25, -10.25, -10.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.25, "smallest_bitstrings": ["111110", "111100", "110100", "110110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.714438572684436) q[0];
h q[1];
ry(-1.428877145368872) q[1];
h q[2];
h q[3];
ry(-1.428877145368872) q[3];
h q[4];
h q[5];
cx q[5], q[0];
ry(0.714438572684436) q[0];
cx q[5], q[0];
ry(-0.856357758661726) q[0];
cx q[4], q[0];
ry(4.239869943476942e-08) q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIIZ",
"ZIZIII",
"IZIIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-1.25,
-1.25,
-1,
-0.75,
2.5,
-1,
-0.5,
-1,
-1.25,
-0.25,
-2.25,
0.75,
1.5,
1.5
] | 0.921629 | [
-1.428877145368872,
1.5707963072208557,
-0.8563577162630266,
-8.479739886953884e-8,
7.260494688738796e-8,
-2.058158962333484e-8,
-4.1931091589049415e-8,
-2.6274812220416775e-8
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -10.25,
"target_ratio": 0.97,
"target_value": -9.942499999999999
} | 183 |
ed01866ce53def5a36a69737a2fd120b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [64, 67], "expectation_value": -3.677012911706055, "params": [-0.004200000000000001, 0.33290000000000003, 0.49620000000000003, 0.0026000000000000003, -0.0031000000000000003, 0.39490000000000003, -0.0032, 0.35910000000000003, -0.0018000000000000002, 0.37170000000000003, 0.0001, 0.3125, 0.29600000000000004, -0... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"], "largest_eigenvalue": 5.0} | 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] 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": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.25,
1.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0,
-1,
0.25,
0.25,
0.25,
0.5
] | 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 |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [3, 1], "expectation_value": -12.249999933331463, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 22, "probabilities": [8.327887109606272e-09, 0.999999991661056], "optimization_time": 16.41715359687805} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.008805449081746186) q[0];
rz(0.008805449081746186) q[0];
rx(-0.06507551884342087) q[1];
rz(0.07837949212351895) q[1];
rx(0.11121083091104535) q[2];
rz(-0.12325739099878535) q[2];
rx(0.11121083091104535) q[3];
rz(-0.19545083417781706) q[3];
rx(0.23085209549836783) q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) 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] = measure q[... | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-2.25,
-0.5,
-0.75,
-1.75,
-0.5,
-0.75,
1.75,
-0.25,
0.5,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.75,
1.5
] | 0.982302 | [
0.008805449081746186,
-0.06507551884342087,
0.07837949212351895,
0.11121083091104535,
-0.12325739099878535,
-0.19545083417781706,
0.23085209549836783,
0.25202255510293076,
0.018150580089486897,
0.04944532338292,
0.24812448242597843,
2.8641026750519627,
0.20462351945670706
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 10 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [171, 427], "expectation_value": -4.110489175504899, "params": [[[1.6224, 0.0039000000000000003, 0.008400000000000001, 0.0034000000000000002], [0.3408, 0.0034000000000000002, 1.5185000000000002, 0.0014], [-0.003, 0.0047, 0.008, 0.005200000000000001], [0.7058, -0.0025, 1.2139, 0.0054], [0.0025, 0.0011, 0.0047... | 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) ... | 12 | 9 | 1 | {"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": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
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
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
c5d2a0621e9dcecb65eadc5509d4551e | 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": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1582, 1710], "expectation_value": -12.625251258556327, "params": [0.1933, -0.5680000000000001, 0.1917, 0.009600000000000001, 0.0025, -1.016, 0.0024000000000000002, 0.0, 1.3960000000000001, 0.0323, 1.3979000000000001, 0.0012000000000000001, 1.4049, 0.0279, 1.4034, 0.0009000000000000001, 0.0109, -0.6264000000... | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 5 | 13 | 1 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100110100001", "1100001000101", "1000100100001", "1100110010001", "1100101010001", "1000100010001", "1100010000011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.08743649769424137) q[0];
rz(-1.4403708797533135) q[0];
rx(0.09393894887712548) q[1];
rz(0.5913182157078832) q[1];
rx(1.4078405758086183) q[2];
rz(0.1407318460299953) q[2];
rx(1.590037714848199) q[3];
rz(0.10840208344072243) q[3];
rx(0.18964145807910252) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIZZIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIZIIZIII",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIIZIIII",
"IIIIZIIIIIIZI",
"IIIIZIIZIIIII",
"IIIIZIZIIII... | [
-1,
-1,
1,
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,
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,
-0.5,
-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,... | 0.97291 | [
-0.0874364976942414,
-0.7782836179307168,
0.09393894887712548,
0.5913182157078832,
1.4078405758086183,
0.1407318460299953,
1.590037714848199,
0.10840208344072243,
0.18964145807910252,
0.07730924175294455,
-0.0250481159919958,
0.7670952990780986,
1.5475571454171502,
0.28663197303578225,
0... | {
"n_parameters": 70,
"n_qubits": 13,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 10 |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.16637754440307617} | -1.0 * Z(0) | 5 | 1 | 3 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"], "largest_eigenvalue": 1.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) q[0];
| null | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} | [
"Z"
] | [
-1
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
f438dd84874324e8039dc4edeb3bf57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 36.77919554710388} | -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 | 1 | {"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... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], 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 \... | [
"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 |
fcba12f78dbb04a944afdfe31d032329 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 65], "expectation_value": -6.8338579846604866, "params": [[[0.0032, 0.0], [1.5907, 0.0041], [0.0026000000000000003, 0.003], [0.0027, 0.0012000000000000001], [-0.0027, 0.0041], [0.0023, 0.0034000000000000002], [0.0027, 0.0041], [1.6058000000000001, 0.004]]], "bitstrings": ["11111110", "10111110"], "total_... | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | 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": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
ed46de376d1660326c9e503ea9950a07 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"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, "target": 3}, ... | {"states": [1, 3], "expectation_value": -26.58677761162196, "params": [0.0618, 0.2589, 0.054900000000000004, 0.28250000000000003, 0.0017000000000000001, 0.2738, 0.0596, 0.2849, 0.058100000000000006, 0.2841, 0.4897, 0.1531, 0.4894, 0.1527, 0.0536, 0.2589, 0.0534, 0.28200000000000003, 0.0054, 0.27790000000000004, 0.0575,... | 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(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 3 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06885345192683487) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.06885345192683487) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.06885345192683487) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.06885345192683487) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
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,
2.75,
3,
3,
3,
-10,
-10,
-10.5,
-10,
-10,
-9.25,
-9.25
] | 0.975493 | [
0.06885345192683487,
0.22761518371396905,
1.6693107203407738,
1.8112030378322537,
-0.6694555841207032,
0.46345917959819155,
-0.0049250157682909634,
-0.1730709160346522,
0.046383083187558294,
-0.13700343575253615,
-0.6684023739074303,
1.0372311699561239,
0.5016828164711846,
0.47691842854795... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 39 |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368651, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 51.08256673812866} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.3200396269150379) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.08926708559789197) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.3200396269150379) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-0.382786... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-1.5,
-1,
2,
-0.25,
-0.75,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
1,
0.75,
-0.25,
0
] | 0.810073 | [
-0.3200396269150379,
0.08926708559789197,
-0.3827861201307439,
0.3471470627240742,
-0.7515704665862538,
-0.3267668593634906,
0.16898582939016338,
-0.7763201657017763,
-0.815770852515257,
-1.535634986606571,
-0.5078065568147562,
-0.15503038467109106,
-0.7855234435767351,
0.5365222126647917,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 448 |
1e191a11f35582298737a38bddb93633 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -27.42923609330638, "params": [-0.006900000000000001, -0.0055000000000000005, -0.0015, -0.004200000000000001, -0.0039000000000000003, -0.0032, 0.29810000000000003, 0.3024, -0.0044, -0.005200000000000001, -0.0018000000000000002, -0.0017000000000000001, -0.0014, -0.001, -0.0008... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -1.75 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -1.5 ... | 14 | 12 | 4 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["111011110111"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.12215821646063887) q[0];
rz(pi/2) q[0];
ry(-0.12569544221765014) q[1];
ry(0.05497722570716877) q[2];
ry(0.21805274698586835) q[3];
ry(0.10051210072289729) q[4];
ry(0.11323463681351836) q[5];
ry(0.16964548084779274) q[6];
ry(0.13744902978504647) q[7];
ry(0.3524138... | 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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IZIIIZIIIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIZIIIIII",
"ZZIIIIIIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"ZIIIIIZIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IZIIZIIIIIII",
"ZIIIZIIII... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-1.75,
-1,
-1,
-0.25,
-1.5,
-1.25,
-1,
-1.75,
-1,
-0.25,
-1,
-0.75,
-0.75,
-1,
-1.75,
-1,
2.5,
-0.25,
-1,
-0.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
1.75,
-0.25,
0.75,
-2.5,
0.25,
1.... | 0.971368 | [
-0.12215821646063887,
-0.12569544221765014,
0.05497722570716877,
0.21805274698586835,
0.10051210072289729,
0.11323463681351836,
0.16964548084779274,
0.13744902978504647,
0.35241382920821174,
0.06146342793739926,
-0.03761530527361674,
-0.03749665349489062,
0.3314581834487027,
0.221449767023... | {
"n_parameters": 152,
"n_qubits": 12,
"optimal_eigenvalue": -28.5,
"target_ratio": 0.97,
"target_value": -27.645
} | 9 |
d4330ca50c7e11a2ef645e484effbde2 | 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": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [145, 153], "expectation_value": -15.5780023991854, "params": [-0.0018000000000000002, -0.4234, -0.006500000000000001, -0.44730000000000003, -0.4043, 0.07300000000000001, -0.3886, 0.0888, -0.0112, -0.0975, 0.006200000000000001, -0.15280000000000002, -0.007, -0.06670000000000001, 0.0026000000000000003, -0.245... | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2622882689348001) q[0];
rz(-0.12539551542716332) q[0];
rx(-0.6420858985691934) q[1];
rz(0.02450966034577462) q[1];
rx(-0.003948278541108552) q[2];
rz(-0.12725017189151266) q[2];
rx(-0.2450817342347413) q[3];
rz(-0.14497568647068348) q[3];
rx(0.4737983588182048) 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] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
-1.25,
-0.25,
-0.5,
-0.75,
2.5,
-0.75,
-1.25,
-1.5,
-1.5,
-0.5,
-0.5,
-1,
-0.75,
-1.25,
-1,
-0.25,
-1,
-1,
-0.5,
-0.25,
1.25,
-0.75,
-0.75,
1.75,
0,
-3,
2.25
] | 0.97117 | [
-0.26228826893480006,
-0.36368508968482277,
-0.6420858985691934,
-0.1687732665922791,
-0.003948278541108552,
-0.10989513482201041,
-0.24508173423474128,
-0.23246293102332344,
0.4737983588182048,
0.06466018283837059,
-0.2620092086830588,
0.3056290733678249,
-0.1334774724548909,
-0.170745461... | {
"n_parameters": 178,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 21 |
5675e3d1d23688cedf58afc21ee4a6b6 | 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}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": ... | {"states": [383, 1023], "expectation_value": -13.07543751772129, "params": null, "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.12809741942845723, 0.46835014598754204], "optimization_time": 166.70394158363342} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * Z(2) + 1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.36723293102627264) q[0];
rz(1.8336662116647275) q[0];
rx(2.322337287915746) q[1];
rz(-1.5824744389844776) q[1];
rx(-0.06990651643525302) q[2];
rz(-3.1066738827455334) q[2];
rx(-3.138679370015078) q[3];
rz(2.971693771251063) q[3];
rx(-0.39217119453756505) q[4];
rz... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] 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];\ncry(1.5708) q[3], 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] = measu... | [
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"ZIIIIIIIZI",
"IZIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973578 | [
-0.3672329310262726,
0.26286988486983043,
2.3223372879157456,
3.129914541400212,
-0.069906516435253,
1.6057150976391568,
-3.138679370015078,
1.4008974444561666,
-0.3921711945375651,
0.1860218471257741,
0.6039060435257514,
0.233178014561896,
0.40213824820907296,
0.14730470988870933,
0.626... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 192 |
cde6b48ed870286595c1455af7aff8bd | 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": 0, "target": 3}]} | {"states": [59387, 59355], "expectation_value": -16.761304388806884, "params": [3.1459, 0.0031000000000000003, 1.7584000000000002, 0.0047, 3.1449000000000003, 0.0015, 1.3358, 0.006500000000000001, 1.3314000000000001, 0.0019, 3.1456, 0.007500000000000001, 1.7497, 0.0028, 3.1460000000000004, 0.007, 1.7492, 0.008400000000... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 18 | 16 | 1 | {"smallest_eigenvalues": [-20.499999999999932], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0001100000100100"], "largest_eigenvalue": 69.50000000000037} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(1.4546236341953724) q[0];
h q[1];
ry(-0.38480577037973474) q[1];
h q[2];
cx q[2], q[1];
ry(0.38480577037973474) q[1];
cx q[2], q[1];
ry(-0.2628332437623973) q[1];
ry(0.29901679330860015) q[2];
h q[3];
ry(1.4546236341953724) q[3];
h q[4];
ry(-0.38480577037973... | 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZZIIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
... | 0.989 | [
1.5946656311860272,
1.4546236341953724,
-1.3915392123108226,
-1.043543998175015,
-0.7696115407594695,
0.5858465026550362,
0.5980335866172003,
-0.5311148471859957,
0.6361651825545125,
-0.4145474599646862,
-0.39359418429255133,
-0.3850745616697103,
-0.5256664875247946,
-0.3291045904565906,
... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 1 |
3778500783143902290 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 3, 7, 8, 10, 12], [1, 3, 5, 8, 10, 11], [4, 6, 8, 11, 12], [10, 5, 6], [0, 1, 11, 5], [0, 5, 7, 10, 12], [1, 6], [0, 1, 3, 4, 5, 10, 12], [11, 12, 5, 7], [8, 9]]} | {"states": [3478, 3479], "expectation_value": -2.4153113359954452, "params": [1.3701, 0.0047, 2.6595, 0.0034000000000000002, 3.1396, 0.0032, 0.7762, 0.0095, 3.1392, 0.0001, 3.1395, 0.0067, -0.015600000000000001, 0.0088, 0.8058000000000001, 0.0006000000000000001, 3.1395, 0.0002, -0.0028, 0.0098, 3.1396, 0.00480000000000... | 0.125 * (Z(0) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(1)) + 0.017857142857142856 * (Z(2) @ Z(0)) + 0.075 * (Z(3) @ Z(1)) + 0.041666666666666664 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.017857142857142856 * (Z(7) @ Z(1)) + 0.06785714285714287 * (Z(7) @ Z(0)) + 0.017857142857142856 * (Z(7) @ Z(2)) + ... | 16 | 13 | 1 | {"smallest_eigenvalues": [-2.7511904761904757], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7369047619047624, "smallest_bitstrings": ["1001001101000"], "largest_eigenvalue": 9.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.3708439898160576) q[0];
rz(0.6353476614395053) q[0];
rx(3.2358623134142475) q[1];
rz(-0.3908256821274274) q[1];
cx q[1], q[0];
rz(-0.07552170573386738) q[0];
cx q[1], q[0];
rz(0.06961576190719382) q[1];
rx(3.1127933123805454) q[2];
rz(0.26644518074194323) q[2];
rx... | 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",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIZIIIIIZI",
"IIIIIZIIIIIIZ",
"IIIIIZIIIIZII",
"IIIIIZIIIZIII",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIIIIZII",
"IIIIZIIIIZIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIIZI",
"IIZIIIIIIII... | [
0.125,
0.017857142857142856,
0.017857142857142856,
0.075,
0.041666666666666664,
0.017857142857142856,
0.017857142857142856,
0.06785714285714287,
0.017857142857142856,
0.017857142857142856,
0.05119047619047619,
0.017857142857142856,
0.017857142857142856,
0.05119047619047619,
0.01785714285... | 0.983801 | [
0.3708439898160576,
0.5598259557056382,
3.2358623134142475,
-0.3908256821274274,
3.1127933123805454,
0.19682941883474953,
0.37138653067384353,
0.2199057729319659,
3.215420960559749,
0.3492914307040482,
3.2183986257909076,
0.040667529785314634,
0.07353799663488181,
-0.16360328045488243,
0... | {
"n_parameters": 33,
"n_qubits": 13,
"optimal_eigenvalue": -2.7511904761904757,
"target_ratio": 0.97,
"target_value": -2.6686547619047616
} | 14 |
2de09f74732740eb4132d4c45672d4c0 | matching | qaoa | {"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}], "edges": [{"... | {"states": [121, 109], "expectation_value": -21.602970407770577, "params": [[-0.035500000000000004, 0.004], [0.0801, 0.08]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012966239337627557, 0.01583291238123276], "optimization_time": 2.888418436050415} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 12.0 * Z(1) + 2.0 * Z(0) + 19.5 * Z(2) + 6.5 * Z(3) + 12... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15666581702309534) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.15666581702309534) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.15666581702309534) q[2];
cx q[0], q[2];
rz(-0.21425865819161594) q[0];
rx(-0.004433236357077533) q[0];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIZIZIII",
"IIIZIZII",
"IIIZZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
12,
2,
19.5,
6.5,
12.5,
19,
6,
9
] | 0.977875 | [
0.15666581702309534,
-1.1707951168767476,
-0.21425865819160106,
-1.1796895436339712,
1.695895812151508,
-1.3446032222573285,
-1.5652973209308816,
-0.14147010027852547,
-0.6724253090623147,
-0.004433236357077527,
-0.20196008887994982,
-0.4867636259413745,
1.4425204833320344,
-0.549094663383... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -77.5,
"target_ratio": 0.97,
"target_value": -75.175
} | 56 |
7203b0dd22c47919131561d597fd7a8a | 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": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [33, 1], "expectation_value": -0.2815094743480402, "params": [[0.052000000000000005], [-0.0437]], "bitstrings": ["111011110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002325095468140287, 0.002365293948008987], "optimization_time": 2.087129831314087} | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6261433409579646) q[0];
h q[1];
ry(-1.6261433409579646) q[1];
h q[2];
ry(-1.6261433409579646) q[2];
rz(-pi) q[3];
ry(-0.003475474137040734) q[3];
h q[4];
h q[5];
ry(-1.6261433409579646) q[5];
h q[6];
ry(-1.6261433409579646) q[6];
ry(-0.11685501828103699) q... | 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[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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-0.25,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.25,
-0.25,
0,
-1,
2.25,
-0.5,
-1,
0.25,
1.5
] | 0.997034 | [
1.5924862099504202,
-1.6261433409579646,
-1.5138906424613596,
-1.5345727500490354,
-0.07939810176580403,
0.11989866789499973
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 1 |
c9e23c3d875481c51b6b7ae3dd88ddb0 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [63, 511], "expectation_value": -2.482289595566225, "params": [[-0.0697], [0.0704]], "bitstrings": ["1111000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0019347820889255784, 0.001994888852454481], "optimization_time": 3.4048445224761963} | 0.5 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(8)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 1.0 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.09843583765480085) q[0];
cx q[3], q[0];
rz(1.6142187691994376) q[0];
rx(0.9981896827498792) q[0];
cx q[3], q[1];
rz(0.32237221476411926) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.09843583765480085) q[2];
cx q[3], 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;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIIIZZIIII",
"IZIIZIIIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZIIIIZIIII",
"ZZIIIIIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IZZIIIIIII",
"ZIZIIIIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIZZIIIIII",
"IIIIIIZIII"... | [
0.5,
-2,
0.5,
-1.5,
-2.5,
-3,
-2.5,
1,
-2.5,
-2.5,
-2.5,
0.5,
1,
0.5,
1,
1,
-3,
-2.5,
-2.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.565407 | [
0.09843583765480085,
0.32237221476411926,
1.3017450754692677,
0.6661955565916792,
0.6086908708256358,
0.3387112450912993,
1.6142187691994372,
0.9981896827498792
] | {
"n_parameters": 8,
"n_qubits": 10,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 202 |
30e28b56cad01a233ddf0894e9b7eaa8 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 50], "expectation_value": -3.999937478449852, "params": null, "bitstrings": ["001110", "001101"], "total_optimization_steps": 28, "probabilities": [1.6357230666329146e-05, 0.9999687399529342], "optimization_time": 17.05268096923828} | 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(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"], "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(0.0007807485922482725) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0007807485922482725) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0007807485922482725) q[3];
cx q[0], q[3];
rz(1.5622291020438395) q[0];
rx(1.4230915336570904) ... | 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[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... | [
"IIIZIZ",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"ZIIIZI",
"IZIZII",
"IZZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-0.5,
-1
] | 0.972429 | [
0.0007807485922482725,
-1.3071662634992012,
1.5622291020438395,
-1.2862359945840747,
-1.0589387496736589,
0.9999795518288292,
-1.3272444682674918,
-1.4806765325928763,
1.2864952173532251,
1.4230915336570904,
0.5883822012299551,
1.5647805208249972,
0.48419941054809135,
1.7953393898312842,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 47 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [184, 188], "expectation_value": -1.901290771785275, "params": [[[0.4567, 0.0073], [1.7018, 0.0079], [-0.0026000000000000003, 0.0023], [1.7063000000000001, 0.0024000000000000002], [1.7102000000000002, 0.003], [1.7073, 0.009000000000000001], [1.6105, 0.009600000000000001], [0.4506, 0.0014], [0.893, 0.0097]]],... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(5) @ Z(2)) + -0.125 * (Z(4) @ Z(5) @ Z(3)) + 0.125 * (Z(4) @ Z(5) @ Z(2... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.375, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 7.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h 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... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZZII",
"IIIZIZZII",
"IIIZZIZII",
"IIIZZZIII",
"IIIZZZZII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIIIIZIII",
"IIIIZIIZI",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIIIZIIZI",
"IZIZIIIII",
"IIIIIIIIZ",
"... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.5,
-0.25,
-0.625,
-0.125,
0.125,
-0.125,
-0.5,
-0.5,
-0.25
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
1969146899557880099 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 3], [5, 6], [3, 5], [2, 3], [2, 4], [4, 6], [0, 1], [0, 2], [3, 6], [0, 5], [5, 7]]} | {"states": [92, 102], "expectation_value": -3.1896061585015425, "params": null, "bitstrings": ["10100011", "10011001"], "total_optimization_steps": 67, "probabilities": [0.06854483432035798, 0.5800729349760536], "optimization_time": 82.95544862747192} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100110", "10011001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(0.055689574750010185) q[0];
h q[1];
ry(1.651520169423957) q[1];
h q[2];
ry(0.298845957163849) q[2];
h q[3];
ry(-0.07831345299877521) q[3];
h q[4];
ry(-0.07831345299877521) q[4];
h q[5];
cx q[5], q[0];
ry(-0.055689574750010185) q[0];
cx q[5], q[0];
ry(-0.40861... | 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[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] = me... | [
"IIIIZIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"IIIIZZII",
"IIIIIZIZ",
"IZIZIIII",
"IIIZIZII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII"
] | [
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
] | 0.975101 | [
-0.15662690599755041,
0.597691914327698,
0.5386595089782579,
-0.19815732285154197,
1.651520169423957,
0.11137914950002037,
1.2575093489332931,
-0.8172303981382529,
1.7276599744487948,
-0.5819468095247553,
-0.11967719898941134,
-0.03801200635179951,
0.8813346622568092,
-1.1447490569378818,
... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 78 |
291fb5db31402c7ef22d6cc5b00311e3 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [15, 191], "expectation_value": -6.564715085944574, "params": [[0.17830000000000001], [-0.3529]], "bitstrings": ["111110000", "101000000"], "total_optimization_steps": 40, "probabilities": [0.01848475854342846, 0.0190404924807727], "optimization_time": 3.003929853439331} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.0 * Z(2) + -1.5 * Z(0) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["101000000"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(0.6930684622353808) q[1];
ry(-0.02319635476017577) q[2];
rz(-pi) q[2];
h q[3];
ry(0.6930684622353808) q[3];
cx q[0], q[3];
ry(-0.6930684622353808) q[3];
cx q[0], q[3];
ry(-0.8323773178145601) q[0];
h q[4];
ry(0.6930684622353808) q[4];
cx q[3], q[4];
r... | 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;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZIIZI",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
-2,
0.5,
-2.5,
0.5,
0.5,
-2,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1,
-1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.956215 | [
1.3861369244707615,
1.619072159856883,
-0.3840834116474059,
1.0010753535521626,
-1.5277568321167412,
1.4416496174772735,
-1.6647546356291203,
1.929630759600278,
1.1943604528078824,
0.3118355817388504,
0.10767558701037917,
-0.017213899581823337,
-1.196512252676522,
-0.23686777389656216,
2... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 500 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [6, 7], "expectation_value": -0.7661283892995004, "params": [[[1.0728, 0.0047], [1.3854, 0.0016], [1.3422, 0.0066], [1.8334000000000001, 0.002], [1.7908000000000002, 0.0082], [1.6251, 0.008400000000000001]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 190, "probabilities": [0.04867556239... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | 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] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-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 |
1371a8d233ceedbf3a9ec9931886713d | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43733, 43605], "expectation_value": -0.008465551648524545, "params": [1.6431, 0.0043, 1.4808000000000001, 0.0094, 1.6611, 0.0061, 1.4727000000000001, 0.009300000000000001, 1.6544, 0.0022, 1.4741, 0.0001, 1.6061, 0.006900000000000001, 1.5116, 0.006, 1.5462, 0.0046, 1.6015000000000001, 0.006500000000000001, 1... | 0.25 * (Z(0) @ Z(1)) + 0.0002066115702479339 * (Z(2) @ Z(0)) + 0.0002066115702479339 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 16 | 16 | 1 | {"smallest_eigenvalues": [-2.0193181818180936], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0193181818180928, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.013533057851203} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6154186834429225) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.03172783434344268) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.03172783434344268) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.6154186834429225) q[3];
cx q[2], 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[... | {"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,
0.0002066115702479339,
0.0002066115702479339,
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006198347107438016,
-0.0006198347107438016,
-0.0003615702479338844,
-0.0006198347107438016,
-0.0006198347107438016,
-0.00036... | 0.970909 | [
1.6154186834429225,
-0.03172783434344268,
0.003731899473451296,
0.051521038839347236,
-0.3124286080780074,
-0.7440021791075236
] | {
"n_parameters": 6,
"n_qubits": 16,
"optimal_eigenvalue": -2.0193181818181323,
"target_ratio": 0.97,
"target_value": -1.9587386363635884
} | 28 |
-7200106346949090979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 4, 5, 6, 8], [2, 3, 4, 7, 8], [0, 2, 3, 5, 8], [0, 1, 2, 3, 6, 7], [8, 1, 4, 7], [8, 6, 7], [0, 4, 5, 7], [1, 3, 4, 6]]} | {"states": [126, 469], "expectation_value": -0.9987556104316851, "params": [[-0.38380000000000003], [0.3763]], "bitstrings": ["110000001", "000101010"], "total_optimization_steps": 40, "probabilities": [0.005134142607809077, 0.005157432599585829], "optimization_time": 2.523036241531372} | 0.05714285714285714 * (Z(0) @ Z(1)) + 0.05714285714285714 * (Z(2) @ Z(1)) + 0.10714285714285715 * (Z(2) @ Z(0)) + 0.19047619047619047 * (Z(4) @ Z(1)) + 0.10714285714285714 * (Z(4) @ Z(0)) + 0.07380952380952381 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.15714285714285714 * (Z(5) @ Z(0)) + 0.0738095238095... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7428571428571433], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7428571428571429, "smallest_bitstrings": ["000101010"], "largest_eigenvalue": 7.999999999999997} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0020048847548982097) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.0020048847548982097) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.009281199077370132) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.060493379649978966) 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": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"... | [
0.05714285714285714,
0.05714285714285714,
0.10714285714285715,
0.19047619047619047,
0.10714285714285714,
0.07380952380952381,
0.023809523809523808,
0.15714285714285714,
0.07380952380952381,
0.10714285714285714,
0.14047619047619048,
0.05714285714285714,
0.05714285714285714,
0.10714285714285... | 0.972913 | [
-0.0020048847548982097,
-0.009281199077370132,
-0.060493379649978966,
-0.006139904398090652,
0.02445811592878791,
-0.025534855461582264,
0.05444685153806844,
0.016423718487222023,
-0.044238693652838355,
0.009497684055182004,
-0.02267953722926467,
0.21064530942105678,
-0.01731677491167435,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -1.7428571428571433,
"target_ratio": 0.97,
"target_value": -1.690571428571429
} | 155 |
91fd701868951eab612ba86420778b2e | kclique | 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": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.315141270031734, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.10868101364905021, 0.5506785707904625], "optimization_time": 52.52177906036377} | 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(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | {"k": 4} | {"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(-0.0019) 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... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [1, 9], "expectation_value": -0.858274070215379, "params": [[-0.046, -0.0511, -0.0466, -0.058300000000000005], [0.054900000000000004, 0.063, 0.0557, 0.0648]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.05370692015869809, 0.061684709632096296], "optimization_time": 3... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.2266707306631195) q[0];
h q[1];
ry(1.0272541345090267) q[1];
ry(-0.5861463410328833) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.6625309996307737) q[3];
h q[4];
cx q[4], q[0];
ry(0.2266707306631195) q[0];
cx q[4], q[0];
ry(-1.161710436049223) q[0];
ry(1.320414490855... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"IIZZI",
"IZIZI",
"ZIIIZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-1,
-0.25,
0.5,
0.25,
0.5
] | 0.974474 | [
-0.453341461326239,
1.3204144908550612,
-1.0707147283862435,
2.0545082690180534,
0.03783762275645283,
-1.3250619992615473,
-0.18199141532595858,
-1.1961211419101938,
-0.3696846406039731,
-0.5697898662685712,
0.6076384529352682,
-0.454147025534971,
-0.17281825067926812,
-1.0626170488715485
... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 17 |
bd53e0f03f0d19af6cb39bf47cf396d2 | 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": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -2.2110037174256334, "params": [[0.0758, 0.07010000000000001, 0.0658], [-0.0753, -0.06380000000000001, -0.0534]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.02200789408980546, 0.0234742849322554], "optimization_time": 3.02870464324... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7043656534273358) q[0];
h q[1];
ry(1.535989113406412) q[1];
h q[2];
ry(0.7877722373943765) q[2];
h q[3];
h q[4];
ry(0.7877722373943765) q[4];
cx q[1], q[4];
ry(-0.7877722373943765) q[4];
cx q[1], q[4];
cx q[1], q[0];
cx q[4], q[2];
ry(0.7043656534273358) 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": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIIZI",
"IZIIZII",
"ZIIIZII",
"IIZIZII",
"IZIZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
1,
-0.5,
-1.5,
-0.75,
-1.25,
-0.75,
-1,
-2.5,
-0.25,
-0.75,
1.5,
-0.25,
1.25,
1
] | 0.998945 | [
-1.629771341725018,
1.535989113406412,
1.575544474788753,
-1.4087313068546716,
-0.1237302936379537,
-0.020395894215535604
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
-1699526286124358740 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [2, 3, 5], [2, 6], [1, 2], [2, 5, 7], [1, 3, 5], [2, 3, 7], [0, 4], [4, 5, 7], [1, 4, 5], [0, 5, 7], [3, 4, 7], [0, 2, 3], [3, 5, 6]]} | {"states": [180, 91], "expectation_value": -0.22765537595891366, "params": [[0.0786], [-0.0809]], "bitstrings": ["01001011", "10100100"], "total_optimization_steps": 10, "probabilities": [0.00452523994234545, 0.00459786903538272], "optimization_time": 0.8588757514953613} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666667, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.5835393793126971) q[0];
cx q[6], q[0];
cx q[6], q[2];
rz(0.5835393793126971) q[2];
cx q[6], q[2];
cx q[0], q[2];
rz(-0.04195482891403145) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(-0.04195482891403... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(x0) q[0];
cx q[6],... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZ",
"IZIIIZII",
"IIIIIZIZ",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIIIZZI",
"IIIIZIZI",
"IIZIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"IIIZIIZI",
"ZIIZIIII",
"IZIIIII... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.1666666666666666... | 0.633507 | [
0.5835393793126971,
-0.04195482891403145,
0.11477433349384349,
0.002509824568029121,
1.0899427703711575,
0.7210164512999986,
1.0195574221768897,
-0.8380284059625306
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -3.666666666666668,
"target_ratio": 0.97,
"target_value": -3.5566666666666675
} | 203 |
26d7f56e59bfdf48052023802b40605b | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -0.20302854169406973, "params": [[0.0671, 0.059800000000000006, 0.0324], [-0.0761, -0.0646, -0.037200000000000004]], "bitstrings": ["11010", "10110"], "total_optimization_steps": 10, "probabilities": [0.0398387523143275, 0.039838752314327534], "optimization_time": 3.0643327236175... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | 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": []} | [
"IIZZI",
"IIIZZ",
"ZIIIZ",
"ZIIZI",
"ZIIZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
c81be2f473f7a54aa58d16bc5af2db83 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [84, 85], "expectation_value": -1.9909538313658046, "params": [[[0.0023, 0.005], [0.9946, 0.0029000000000000002], [1.6051, 0.0031000000000000003], [1.0333, 0.0068000000000000005], [1.6019, 0.0013000000000000002], [0.0023, 0.0058000000000000005], [1.6024, 0.0001], [-0.0025, 0.0054], [1.5982, 0.008400000000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(6) @ Z(2)) + -0.125 * (Z(4) @ Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["100111010", "110101010", "110001011"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1463942848681015) q[0];
rz(-0.24276369999180414) q[0];
rx(-0.15957299020987947) q[1];
rz(0.9434441416337092) q[1];
rx(3.280304665123894) q[2];
rz(0.2779975849516609) q[2];
rx(-0.22560546204315218) q[3];
rz(-0.30170481846455) q[3];
rx(3.3014138201771503) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIZZZI",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIZII",
"IZIIZIZII",
"IZZIIIZII",
"IZZIZIIII",
"IZZIZIZII",
"ZIIIIZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZZIIIII",
"... | [
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,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.25,
0.125,
-0.25,
-0.125,
-0.625,
0.25,
... | 0.979623 | [
0.1463942848681015,
-0.24276369999180414,
-0.15957299020987947,
0.9434441416337092,
3.280304665123894,
0.2779975849516609,
-0.22560546204315218,
-0.30170481846455,
3.3014138201771503,
0.022167633572900594,
0.19990974255972024,
3.1326077493768296,
-0.30070309173171234,
0.1869182167219059,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 19 |
58fa04385078dcdc0b5f9361c481400a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [174, 206], "expectation_value": -1.9093767458551345, "params": null, "bitstrings": ["01010001", "00110001"], "total_optimization_steps": 58, "probabilities": [0.08401115856030354, 0.7713980463996462], "optimization_time": 107.53255915641785} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) q[4];
... | 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(-0.5926) q[6], 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] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
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,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [78, 53], "expectation_value": -0.2637523544049235, "params": [[-0.059500000000000004, -0.061200000000000004, -0.07680000000000001], [0.07060000000000001, 0.0689, 0.0757]], "bitstrings": ["0110001", "1001010"], "total_optimization_steps": 10, "probabilities": [0.011780367138435333, 0.01178036713843534], "opt... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"], "largest_eigenvalue": 4.875} | 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];
... | 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": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IZZIIII",
"IZZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"ZIZIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"III... | [
0.5,
0.5,
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,
-0.125,
-0.25,
-0.125,
0,
0.125,
0.125
] | 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 |
a145449c5913a1392d811f2ccc6af5aa | 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": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [39509, 43605], "expectation_value": -2.0167022487241155, "params": [0.39, 0.39480000000000004, -0.0029000000000000002, -0.0073, -0.5653, -0.5227, 0.3538, 0.3378, 0.38720000000000004, 0.38730000000000003, 0.0039000000000000003, 0.0022, 0.3865, 0.392, 0.0149, -0.0051, -0.013900000000000001, 0.0026000000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005165289256198348 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + -0.0005165289256198348 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.0231404958677377], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231404958676977, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.009297520660913} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.0447966557957313) q[0];
rz(0.07131423416667737) q[0];
ry(0.662644638222067) q[1];
ry(0.8185137027801855) q[2];
ry(-0.051136446580891164) q[3];
ry(-1.0371650388098332) q[4];
ry(0.6025664805427163) q[5];
ry(0.6151331597724534) q[6];
ry(-0.1448694802391766) q[7];
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,
-0.0006714876033057851,
-0.0006714876033057851,
0.25,
-0.0005165289256198348,
-0.0005165289256198348,
-0.0005165289256198348,
-0.0005165289256198348,
0.25,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0005165289256198348,
-0.0006714876033057851,
-0.0006714876033057851,
-0.000... | 0.979863 | [
1.0447966557957313,
0.662644638222067,
0.8185137027801855,
-0.051136446580891164,
-1.0371650388098332,
0.6025664805427163,
0.6151331597724534,
-0.1448694802391766,
-0.014179578177504175,
0.8156568204305812,
-0.03050633494376635,
0.6498597396482383,
0.06694987679109128,
0.760685844686245,
... | {
"n_parameters": 124,
"n_qubits": 16,
"optimal_eigenvalue": -2.0231404958677466,
"target_ratio": 0.97,
"target_value": -1.962446280991714
} | 1 |
f222dfb2324275edf5e9240be57dcb14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [77, 109], "expectation_value": -3.045023555265157, "params": [-0.0004, 0.2432, -0.0026000000000000003, 0.233, 0.09090000000000001, 0.13470000000000001, 0.0848, 0.1332, 0.3003, 0.009000000000000001, 0.29600000000000004, 0.0273, 0.2963, -0.0014, 0.2907, 0.0081, 0.0892, 0.1381, 0.0947, 0.14400000000000002, 0.2... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 7 | 9 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["101010010", "110010010", "110100010"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZZIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIZZIIZI",
"ZIIIZIIZI",
"... | [
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,
0.125,
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.... | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
8446431012283473570 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [1, 2, 3, 6], [1, 2, 6, 7], [1, 2, 4, 6]]} | {"states": [191, 187], "expectation_value": -0.8952259163357432, "params": [1.4769, 0.0025, 1.1352, 0.0036000000000000003, 0.6905, -0.0027, 0.6792, 0.0056, 1.4917, 0.0027, 1.4715, 0.002, 1.4924000000000002, 0.0021000000000000003, 1.4898, 0.0045000000000000005, 1.4881, 0.0026000000000000003, 1.4829, 0.0067, 1.0922, -0.0... | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.02380952... | 6 | 8 | 1 | {"smallest_eigenvalues": [-0.9404761904761905, -0.9404761904761905], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9404761904761904, "smallest_bitstrings": ["01000100", "10100100"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4722755719935803) q[1];
h q[2];
ry(-0.2957467805347192) q[2];
ry(-2.0021056535856068) q[3];
rz(-pi) q[3];
ry(-2.023593739825515) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.14116984227840723) q[5];
ry(-2.612662588065239) q[6];
rz(-pi) q[6];
cx q[1], q[6];
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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIZZI... | [
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.2738095238095238,
0.023809523809523808,
0.10714285714285714,
0.1071428... | 0.972836 | [
1.4722755719935803,
0.7105499590702244,
0.6626326044002361,
-0.5914935610694384,
-0.3631285791544895,
-0.20046418216524306,
0.5062667978647899,
0.4127096184284608,
0.055109464827340214,
-0.3153365580053234,
-0.042428935821069144,
0.259612851117069,
0.3863691238270986,
0.15704172891372495,
... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -0.9404761904761905,
"target_ratio": 0.97,
"target_value": -0.9122619047619047
} | 8 |
03ff3a7533d396b93efc645d4aae3cbe | matching | adaptive_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": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [245, 244], "expectation_value": -31.34868730123897, "params": null, "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.039722945789679026, 0.10131011762480907], "optimization_time": 191.05873036384583} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 160.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-2.10304971759109) q[0];
rz(-pi) q[0];
ry(-0.24410310415688244) q[1];
rz(-pi) q[1];
h q[2];
ry(8.240891103426156) q[2];
cx q[2], q[1];
ry(22.223176400538815) q[1];
cx q[2], q[1];
ry(-13.10126796190722) q[1];
ry(12.694351918652945) q[2];
rz(-pi) q[3];
ry(-2.5393297900... | null | {"matching": "maximum", "extra": "{\"n\": 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(-3.4097) 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"IZIIIZIII",
"IZIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
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,
20,
14,
19,
16.5,
5.5,
5.5,
14,
2,
0.5
] | 0.979637 | [
-4.236258050817545,
8.240891103426156,
-44.44635280107763,
10.92177445155632,
23.78718800876833,
29.079093892187462,
-26.20253592381444,
25.38870383730589,
-6.828198545345845,
0.9101744701734394,
0.6023915406110187,
0.10875931289913231,
0.8269743797419378,
-0.03591519098931931,
0.0849196... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 128 |
a7464c08e965f26b67e99ee8d25bc785 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [13, 141], "expectation_value": -4.176150063351779, "params": [0.9026000000000001, -0.00030000000000000003, 0.0251, 0.4637, 0.0049, 0.2286, 0.28900000000000003, 0.45580000000000004, 0.9054000000000001, -0.0167, 0.9042, -0.0034000000000000002, 0.7893, 0.0109, 0.9006000000000001, -0.006, 0.9013, 0.1034, -0.002... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z... | 4 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["01100110", "01110010"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.4969649983039113) q[0];
rz(1.5946687864547355) q[0];
rx(0.15686067592179834) q[1];
rz(1.9081348268708513) q[1];
rx(0.03622808761615176) q[2];
rz(1.6745792926896144) q[2];
rx(0.19780524352834947) q[3];
rz(2.1304392415646163) q[3];
rx(1.335027721436046) q[4];
rz(1.29... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IZIIIIIZ",
"IZIIIZII",
"IIIIZIZI",
"IIIZIIZI",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
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,
-2,
-1,
-0.5,
-0.5,
-0.5,
0
] | 0.980916 | [
1.4969649983039113,
0.023872459659839147,
0.1568606759217983,
0.337338500075955,
0.03622808761615176,
0.10378296589471753,
0.19780524352834944,
0.5596429147697202,
1.335027721436046,
-0.27118084712777196,
1.6219066663178199,
-0.15709006118323698,
0.4999750730810295,
0.09038152154296888,
... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.398818408133356, "params": [[-0.0748, -0.0751], [0.0762, 0.07490000000000001]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.020935060889157264, 0.022179073026252126], "optimization_time": 2.0914368629455566} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | 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] 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];... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 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 |
7800771855046918514 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11], [0, 10, 3, 7], [0, 4, 5, 6, 7, 8, 9, 10], [0, 2, 7, 10, 11], [0, 1, 2, 3, 4, 5, 6, 8, 9, 10, 11], [0, 2, 4, 6, 7, 8, 10]]} | {"states": [1662, 1918], "expectation_value": -1.1499012229073466, "params": [[[0.7757000000000001, 0.003], [3.1386000000000003, 0.0059], [3.1384000000000003, 0.0079], [1.6095000000000002, 0.0023], [0.7847000000000001, 0.006900000000000001], [2.6553, 0.0019], [1.6754, 0.0073], [3.1397, 0.009300000000000001], [3.1385, 0... | 0.02727272727272727 * (Z(1) @ Z(2)) + 0.02727272727272727 * (Z(3) @ Z(2)) + 0.02727272727272727 * (Z(3) @ Z(1)) + 0.051082251082251076 * (Z(4) @ Z(2)) + 0.02727272727272727 * (Z(4) @ Z(1)) + 0.02727272727272727 * (Z(4) @ Z(3)) + 0.02727272727272727 * (Z(5) @ Z(2)) + 0.02727272727272727 * (Z(5) @ Z(1)) + 0.0272727272727... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.2917748917748926, -1.2917748917748926], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2917748917748924, "smallest_bitstrings": ["100010000001", "100000100001"], "largest_eigenvalue": 6.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.16720029481602855) q[0];
rz(-0.24828804945196162) q[0];
rx(2.6999465498726045) q[1];
rz(-0.4422423187820197) q[1];
rx(2.9366899472210646) q[2];
rz(-0.025656755868813164) q[2];
rx(2.5830279923521196) q[3];
rz(-0.10572221709791241) q[3];
rx(0.3079681851088205) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIZZII",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIZI",
"IIIIZIIIZ... | [
0.02727272727272727,
0.02727272727272727,
0.02727272727272727,
0.051082251082251076,
0.02727272727272727,
0.02727272727272727,
0.02727272727272727,
0.02727272727272727,
0.02727272727272727,
0.04512987012987013,
0.051082251082251076,
0.02727272727272727,
0.02727272727272727,
0.0689393939393... | 0.970344 | [
0.16720029481602855,
-0.24828804945196162,
2.6999465498726045,
-0.4422423187820197,
2.9366899472210646,
-0.025656755868813164,
2.5830279923521196,
-0.10572221709791241,
0.3079681851088205,
-0.1711590049744878,
2.751403600383491,
0.034008917428216295,
2.3051196494957673,
-0.5908296528947042... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -1.2917748917748926,
"target_ratio": 0.97,
"target_value": -1.2530216450216458
} | 12 |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -1.156314070306732, "params": [[-0.0669, -0.0572, -0.0432, -0.0025], [0.0762, 0.0734, 0.0693, 0.048400000000000006]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.019923992085141354, 0.02394482071044881], "optimization_time": 6.6887... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2761211352183031) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.13717878779095488) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2761211352183031) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.13808832036080526) q[5... | 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": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIIZZI",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZZIIIII",
"ZIIIZII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
1,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0,
-0.25,
0.75,
-0.5,
0,
-0.5,
0.5
] | 0.959466 | [
-0.2761211352183031,
0.13808832036080526,
0.13717878779095488,
-0.2208905765275829,
-0.6091682224936915,
0.12825958314828695,
-0.6660683162981736,
1.4990730486084969,
-0.35178542503829574,
0.3184564914299048,
0.38589115212704433,
-0.5285511882352306,
-0.4855828621421047,
-0.654983086342713... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -6.25,
"target_ratio": 0.97,
"target_value": -6.0625
} | 500 |
bd450980ecb62a263062b6b855a443ea | 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": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [31, 11], "expectation_value": -1.222005282258045, "params": [[-0.0711, -0.0454, -0.0442], [0.0813, 0.0635, 0.061500000000000006]], "bitstrings": ["1100000", "1110100"], "total_optimization_steps": 10, "probabilities": [0.016927196688044717, 0.0170049317725787], "optimization_time": 3.2665019035339355} | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(5) + -0.25 * Z(3) + -0.5 * Z(4) + 0.5 * Z(2) + 0.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1100100", "1100000", "1110100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.8940808328512944) q[0];
h q[1];
ry(0.041756198791205276) q[1];
h q[2];
ry(-0.03032114105568228) q[2];
h q[3];
ry(0.4442013340719362) q[3];
h q[4];
h q[5];
ry(0.8884026681438724) q[5];
cx q[5], q[1];
ry(-0.041756198791205276) q[1];
cx q[5], q[1];
ry(-0.8557... | 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": []} | [
"IIIIIZZ",
"IZIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IZZIIII",
"IIZIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
-1,
-0.25,
-0.5,
-1,
-0.25,
-0.25,
-0.5,
1.5,
-1.25,
-0.75,
-0.25,
1,
-0.25,
-0.5,
0.5,
0.25
] | 0.971173 | [
0.8884026681438724,
1.622467847555487,
-1.7881616657025887,
0.08351239758241055,
-0.1298063569670014,
0.48401841381661614,
-0.06064228211136456,
0.4944845920735319,
-0.5239031451717074,
-0.8974703140323975,
-1.005223191000236,
0.8108085797164076,
1.648602767536483,
0.2412183790864333,
0.... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 83 |
2fc4cdd822562fe181c001ffdae1abb5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 4, "source": ... | {"states": [2048, 2046], "expectation_value": -15.523278011360912, "params": [[[0.0004, -0.4006], [-0.0023, -0.0017000000000000001], [0.0014, -0.0027], [0.0012000000000000001, 0.0031000000000000003], [0.0024000000000000002, 0.0031000000000000003], [-0.0047, -0.0032], [0.0021000000000000003, 0.0031000000000000003], [0.0... | -0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.024282349577383334) q[0];
ry(0.12706985798668663) q[1];
ry(-0.014984668063845045) q[2];
ry(0.07075306387243933) q[3];
ry(0.00032754987560388443) q[4];
ry(-0.03872712293314353) q[5];
ry(-0.0618877260810989) q[6];
ry(0.0008673093255641869) q[7];
ry(0.075058556969133... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIZI",
"ZIIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"ZIIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIIZIIIIZIII",
"IIIIIIIIZ... | [
-0.25,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-1,
-1,
1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-0.75,
0.75,
-0.25,
-1.25,
-1.25,
0.25,
-0.5,
0.5,
4.25,
-1.25,
0.25,
-2.75,
1.25
] | 0.970344 | [
0.024282349577383334,
0.12706985798668663,
-0.014984668063845045,
0.07075306387243933,
0.00032754987560388443,
-0.03872712293314353,
-0.0618877260810989,
0.0008673093255641869,
0.07505855696913362,
-0.03419490574580675,
-0.5675217543028909,
0.05085390699289539,
-0.0446574980987833,
0.01734... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 87 |
-8520210685024926198 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 6], [3, 6], [0, 5], [1, 5], [4, 6]]} | {"states": [19, 97], "expectation_value": -0.05203858679692529, "params": [[-0.07930000000000001], [0.0742]], "bitstrings": ["1101100", "0011110"], "total_optimization_steps": 10, "probabilities": [0.0086510645442855, 0.008651675962137341], "optimization_time": 0.48332953453063965} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(6) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0011110", "1101100", "0000011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2818003108364889) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(-0.2818003108364889) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.2818003108364886) q[2];
rx(0.794490877865968) q[2];
rz(-0.281800310836488... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIIZ",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666663,
0.16666666666666674,
0,
0,
0,
0
] | 0.588604 | [
-0.2818003108364889,
-1.0079241077894627,
0.09223844971083339,
0.7944908778659682
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 106 |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -6.451607558478969, "params": [[-0.1126, -0.1366, -0.11570000000000001], [0.1022, 0.1553, 0.1578]], "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 20, "probabilities": [0.0039959265698314775, 0.003995926569831479], "optimization_time": 11.84928297... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 3 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"], "largest_eigenvalue": 29.666666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(-0.7539683417504123) q[0];
h q[1];
ry(-0.7849190935755255) q[1];
ry(-0.5117930615902674) q[2];
rz(-pi) q[2];
h q[3];
ry(0.8027330867228042) q[3];
h q[4];
h q[5];
ry(0.6610369723445622) q[5];
h q[6];
ry(1.6427196587087884) q[6];
cx q[6], q[3];
ry(-0.802733086... | 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": []} | [
"IIZIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIIIZZIII",
"IZZIIIIIIIII",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIZIII",
"ZIIIIIIZIIII",
"ZZIIIIIIIIII",
"IIIIIIZII... | [
0.5,
0.5,
1,
-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,
1,
-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,
1.5,
1.5,
1.5,
1,
-1.5,
2.5,
2.5,
-1.333333333333333,
-1.... | 0.994326 | [
1.6427196587087884,
-1.569838187151051,
1.428071510041552,
1.6054661734456084,
-1.5079366835008245,
-1.479467181204076,
1.0509882011382135,
1.3220739446891243,
-1.3407671105792736,
-0.8743627779952217,
-0.15137910993803103,
-0.36928097441881536,
-0.04643846630258572,
0.18962590822056274,
... | {
"n_parameters": 36,
"n_qubits": 12,
"optimal_eigenvalue": -9.999999999999998,
"target_ratio": 0.97,
"target_value": -9.699999999999998
} | 1 |
44732eac01eb3fbc97fada8b3722ec85 | 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": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [291, 419], "expectation_value": -5.230069989587988, "params": [0.2936, 0.3, 0.299, 0.29650000000000004, 0.09570000000000001, 0.1018, 0.29910000000000003, 0.3039, 0.0015, 0.0014, 0.001, -0.0056, -0.014700000000000001, -0.0188, 0.29960000000000003, 0.3032, 0.3024, 0.3045, 0.29500000000000004, 0.2953, 0.2918, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(4) + -1.0 * Z(0) + -2.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["010011100", "001011100", "110001100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.24585799900125893) q[0];
rz(0.031196068136994236) q[0];
ry(0.3040753479359272) q[1];
ry(-0.035320210843859334) q[2];
ry(0.46012186692250084) q[3];
ry(-0.08007944566666787) q[4];
ry(0.22723862618018245) q[5];
ry(-0.1691581812401316) q[6];
ry(0.5277677819213127) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIIZZIIII",
"IIIZIIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIZIII",
"ZIIZIIIII",
"IZZIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
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,
-2,
-1,
-1,
0,
0,
0,
0
] | 0.982263 | [
0.24585799900125893,
0.3040753479359272,
-0.035320210843859334,
0.46012186692250084,
-0.08007944566666787,
0.22723862618018245,
-0.1691581812401316,
0.5277677819213127,
0.4819205273225084,
0.06239213627398847,
-0.09712798705747987,
0.022166002828569197,
0.19154679677491343,
-0.411915635619... | {
"n_parameters": 135,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 7 |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [51, 53], "expectation_value": -2.5928785863055515, "params": null, "bitstrings": ["1001100", "1001010"], "total_optimization_steps": 45, "probabilities": [0.07553581477216839, 0.7557774249569611], "optimization_time": 54.36411738395691} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | 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(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"ZIZIIII",
"ZIZZIII",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
0
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
8777ff3c42e14a86c796b9915ca51225 | matching | qaoa | {"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}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [110, 109], "expectation_value": -36.07322667178916, "params": [[-0.0392, -0.0033, 0.0058000000000000005, 0.012100000000000001], [0.0733, 0.06960000000000001, 0.06760000000000001, 0.0608]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.022843781499280506, 0.02418... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 14.5 * Z(1) + 9.0 * Z(0) + 13.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.009357746067172136) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.009357746067172136) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.009357746067172136) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.009357746067172136) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
9,
13.5,
15,
19,
-4,
14,
15.5
] | 0.973684 | [
-0.009357746067172136,
1.7343347017547897,
-2.22652197119133,
1.804039392927466,
1.4769531703997372,
1.6204196337017196,
-1.4304080186998116,
-1.5779268163954558,
1.9033652718512877,
-1.6191665728037676,
-0.25586609766135865,
-1.0317941735983325,
0.4007973848651246,
0.40980204608380066,
... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 66 |
-7113729499938187556 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]} | {"states": [37, 39], "expectation_value": -0.009238943925765117, "params": [[[1.6133000000000002, 0.0097], [1.5177, 0.0009000000000000001], [1.4884000000000002, 0.0049], [1.6568, 0.0098], [1.6122, 0.0054], [1.6155000000000002, 0.0074]]], "bitstrings": ["011010", "011000"], "total_optimization_steps": 170, "probabilitie... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 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, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110110", "100111", "100110", "001001", "000111", "011000", "011001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.3373355245423706) q[0];
rz(-0.5285683696579171) q[0];
rx(0.07509299079118542) q[1];
rz(-0.17001125806972994) q[1];
rx(-0.07414486966462075) q[2];
rz(-0.057023565512853924) q[2];
rx(3.0650757606881003) q[3];
rz(-0.08158261309252435) q[3];
rx(3.1934099799705176) 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] 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;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IZIZII",
"ZZIIII",
"ZIIIZI",
"IZIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.993217 | [
0.3373355245423706,
-0.5285683696579171,
0.07509299079118542,
-0.17001125806972994,
-0.07414486966462075,
-0.057023565512853924,
3.0650757606881003,
-0.08158261309252435,
3.1934099799705176,
0.27817927676674503,
3.2509828679537085,
1.0583745028522444
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 19 |
6129550657426354843 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 6], [0, 3], [2, 5], [0, 1], [4, 5], [3, 4], [0, 4], [1, 5], [1, 4], [1, 6]]} | {"states": [43, 75], "expectation_value": -2.4774964171353755, "params": null, "bitstrings": ["1010100", "0110100"], "total_optimization_steps": 51, "probabilities": [0.07874505986904265, 0.7551182483035572], "optimization_time": 53.83513307571411} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110100", "0111100", "1000111", "0111000", "1000011", "1001011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
ry(-0.14132140339234694) q[2];
h q[3];
h q[4];
ry(-0.14132140339234694) q[4];
cx q[1], q[4];
ry(0.14132140339234694) q[4];
cx q[1], q[4];
ry(-0.346325811460094) q[1];
cx q[0], q[1];
ry(0.346325811460094) q[1];
cx q[0], q[1];
ry(1.0368787738505136... | 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];\ncry(-1.0342) q[1], 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[6... | [
"ZIIIZII",
"IIIZIIZ",
"IZIIZII",
"ZIIIIZI",
"IIIIIZZ",
"IZIIIZI",
"IIZZIII",
"IIZIIIZ",
"IZZIIII",
"IIZIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII"
] | [
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
] | 0.976074 | [
-0.2826428067846939,
1.4668473240901054,
-0.3577167250020553,
0.8748296560948524,
-0.12663539392195272,
-0.9470772141773856,
1.5742718399421978,
-0.692651622920188,
-0.656326628991555,
0.10874013526755366,
0.8651948779803132,
-0.5384770367755859,
0.3433677917404009,
0.24644628456987092,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 34 |
ad71d37a0322c377fa72374b67c57129 | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 127], "expectation_value": -46.54179671187536, "params": [[[0.0023, 0.009600000000000001], [0.0024000000000000002, 0.0038], [0.0022, 0.0099], [-1.6136000000000001, 0.0055000000000000005], [0.0025, 0.0047], [0.0024000000000000002, 0.0077], [0.0025, 0.0013000000000000002], [0.0024000000000000002, 0.0064... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(4)) + -3.0 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -3.5 * (Z(9) @ Z(6)) + 1.0 * (Z(10) @ Z(5)) + -2.5 * (Z(10) @ Z(4)) + -3.5 * (Z(10) @ Z(6)) ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-47.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -46.5, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.05232052281397585) q[0];
rz(-0.04654418046852902) q[0];
rx(0.05579025463623868) q[1];
rz(0.01379891632206819) q[1];
rx(-0.220420063092484) q[2];
rz(0.13017982142168102) q[2];
rx(-1.5772670040685672) q[3];
rz(-0.15840179924159364) q[3];
rx(-0.036846872080321884) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZIIZIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIZIZIIIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IZIZIIIII... | [
-2.5,
0.5,
-2,
-2,
1,
-3.5,
-3.5,
-3.5,
-3,
-3.5,
-3.5,
1,
-2.5,
-3.5,
1,
-3,
1.5,
-3.5,
-3,
0.5,
-3,
1.5,
-3.5,
-3,
0.5,
1.5,
1.5,
-2,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.975327 | [
-0.05232052281397585,
-0.04654418046852902,
0.05579025463623868,
0.01379891632206819,
-0.220420063092484,
0.13017982142168102,
-1.5772670040685672,
-0.15840179924159364,
-0.036846872080321884,
0.10169392012477171,
0.027043048932193114,
-0.039325095655551465,
0.04219986682538251,
-0.0264414... | {
"n_parameters": 17,
"n_qubits": 11,
"optimal_eigenvalue": -47.5,
"target_ratio": 0.97,
"target_value": -46.074999999999996
} | 1 |
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": -18.778675524502134, "params": [[-0.0325, 0.0047], [0.07740000000000001, 0.0684]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.00968390416339815, 0.012876454305159284], "optimization_time": 3.04372239112854} | 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 | 2 | {"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 |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 186.4307849407196} | 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(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
12.5,
17.5,
17,
8.5,
0,
8.5,
11
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
b7eaf66301f9b7c8d4f947444be4cce6 | 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": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [0, 1983], "expectation_value": -5.0085452825596946, "params": [0.6682, 0.0625, -0.5917, 0.0047, 0.7255, 0.21480000000000002, -0.6418, 0.005200000000000001, 0.7343000000000001, 0.2323, -0.6355000000000001, 0.006200000000000001, 0.7578, 0.3562, -0.1837, 0.0082, 0.6052000000000001, 0.1652, -0.2383, 0.0085, -0.... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.578546460595844) q[0];
rz(1.5649484018205557) q[0];
rx(1.1542170140655326) q[1];
rz(1.581686139949353) q[1];
rx(2.1475358534579922) q[2];
rz(1.6795510659400366) q[2];
rx(-3.0641522994748227) q[3];
rz(1.5784891660204154) q[3];
rx(0.3578417314936647) q[4];
rz(2.1032... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII"
] | [
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970109 | [
1.5785464605958441,
-0.005847924974340831,
1.1542170140655326,
0.010889813154456019,
2.1475358534579927,
0.10875473914514013,
3.219033007704764,
0.007692839225518923,
0.35784173149366477,
0.532490951004535,
-3.076591709036881,
0.44428642196002094,
0.04260169475956817,
0.8997983020971242,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 291 |
4c2eecb4ef38c9274f53d19369153e09 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [7, 22], "expectation_value": -4.496397968981524, "params": null, "bitstrings": ["1111000", "1101001"], "total_optimization_steps": 27, "probabilities": [0.0663522978260702, 0.9303266216078185], "optimization_time": 22.63056182861328} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1111000", "1101001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.533022976488815) q[0];
ry(-0.08925083506567773) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.07530478978329831) q[3];
rz(-pi) q[3];
h q[4];
ry(1.3881690221492953) q[4];
h q[5];
ry(1.3881690221492953) q[5];
cx q[5], q[1];
ry(-0.00936572749460804) q[1];
cx q[5], 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIZI",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII"
] | [
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,
-1,
-0.5,
0
] | 0.996343 | [
-1.533022976488815,
-1.4710783065612079,
-1.4909112192238267,
1.3881690221492953,
-1.1234777496644068,
0.8316785114091577,
0.01873145498921608,
-0.5192846465561148,
0.42585455404254946,
-0.410278847992595,
0.4239166218143763,
-0.20527906706299706,
0.2521116831060586,
0.1237539200381207,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
91fd701868951eab612ba86420778b2e | 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": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 18.881221771240234} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | 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[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",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIIZZI",
"IZIIZI",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1,
-1,
0,
0
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [84, 100], "expectation_value": -0.06712359090848652, "params": [[0.0461], [-0.034300000000000004]], "bitstrings": ["0101011", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008135781760378756, 0.008135781760378758], "optimization_time": 1.418194055557251} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 7 | 1 | {"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": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.539452789434488) q[1];
h q[2];
cx q[2], q[1];
ry(0.539452789434488) q[1];
cx q[2], q[1];
ry(-0.5845116657967028) q[1];
ry(0.9834662797149554) q[2];
h q[3];
ry(1.5330096657731351) q[3];
ry(-0.11200390697869815) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.6575... | 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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IZIZIII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-1
] | 0.993425 | [
-1.6575525822630313,
-1.449926247916613,
1.5330096657731351,
-0.9691702254542486,
-1.078905578868976,
0.7709667434794807,
0.7760692036349812,
-0.5005787858870715,
0.7322163787030611,
-0.45679582590987716,
0.41479415215994836,
-0.459057514051594,
-0.2554316797736514,
0.3373200785540253,
0... | {
"n_parameters": 26,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0ae9b6f2b61290137ab22e2dafb0c164 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [0, 20], "expectation_value": -2.9998646495793175, "params": null, "bitstrings": ["11111", "01011"], "total_optimization_steps": 16, "probabilities": [1.9002204009620417e-05, 0.9999182900344906], "optimization_time": 8.843374490737915} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | 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(-1.5681) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1,
-1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
8186974217319459903 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5], [0, 4, 5], [2, 5, 7], [8, 2, 7], [1, 6, 7], [1, 4, 7], [0, 8], [8, 2, 3], [1, 5, 7], [3, 4], [2, 3, 6]]} | {"states": [223, 221], "expectation_value": -1.0235310843913759, "params": [0.8957, -0.0079, 0.8923000000000001, 0.0095, 0.9023, 0.002, 0.8957, 0.0019, 0.9057000000000001, -0.0031000000000000003, 0.8993, 0.0007, 0.9017000000000001, 0.0012000000000000001, 0.8864000000000001, 0.0035, 0.8961, 0.0026000000000000003, 0.893,... | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.3333333333333333 *... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333335, "smallest_bitstrings": ["100100010"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.7510483990254472) q[0];
rz(1.6123244072067706) q[0];
rx(1.878330115991054) q[1];
rz(1.6839045872770413) q[1];
rx(-2.9633927824071953) q[2];
rz(1.1689013528099306) q[2];
rx(-0.06542901700079959) q[3];
rz(2.309895380807319) q[3];
rx(3.112310266385455) q[4];
rz(2.0863... | 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": []} | [
"IIIIZIZII",
"IIIZZIIII",
"IIIZIIZII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IZIIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIZIIIZII",
"IZZIIIIII",
"IIZIIIIZI",
"IIIIZZIII",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIIZIII",
"... | [
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.166666... | 0.97094 | [
0.7510483990254472,
0.04152808041187447,
1.8783301159910542,
0.11310826048214469,
3.3197925247723914,
-0.40189497398496576,
-0.06542901700079959,
0.7390990540124209,
3.112310266385455,
0.5155919869088414,
0.16315745284983962,
0.025198944227593306,
0.2997904207042719,
0.46793959261305973,
... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.666666666666667,
"target_ratio": 0.97,
"target_value": -3.5566666666666666
} | 200 |
-1627358426394491181 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4, 5], [1, 3, 4, 5], [0, 1], [0, 3, 4], [2, 3]]} | {"states": [23, 22], "expectation_value": -1.6650507313531189, "params": null, "bitstrings": ["101000", "101001"], "total_optimization_steps": 29, "probabilities": [0.07055188650374446, 0.7991835619473416], "optimization_time": 31.916983366012573} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.0833333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.7500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7499999999999996, "smallest_bitstrings": ["101001"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.20089846661873084) q[0];
h q[1];
cx q[1], q[0];
ry(0.20089846661873084) q[0];
cx q[1], q[0];
ry(-0.98308780160362) q[0];
ry(1.1725088495491989) q[1];
h q[2];
ry(-0.5499235059674504) q[2];
h q[3];
cx q[3], q[2];
ry(0.5499235059674504) q[2];
cx q[3], q[2];
r... | 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(1.3603) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIIZZI",
"IZIZII",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IIZIZI",
"IZZIII",
"ZIZIII",
"IIIIZZ",
"IZIIIZ",
"IIZIIZ",
"IIIZII",
"IIIIZI",
"IZIIII",
"ZIIIII",
"IIZIII",
"IIIIIZ"
] | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.125,
0.25,
0.41666666666666663,
0.24999999999999994,
0... | 0.975008 | [
1.4902245852762572,
-0.4017969332374617,
0.9965338323854046,
-1.0998470119349009,
0.9768018220463053,
-0.8499671576809615,
0.3519500343275885,
-0.6554421925727745,
0.5186331238961345,
-0.42029224895981976,
-0.26624128784531653,
0.08588354255966746,
0.05283067024447066,
-0.4745002864516683,... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -1.7500000000000004,
"target_ratio": 0.97,
"target_value": -1.6975000000000005
} | 8 |
6fca320040b0afd6ce6e0d65260d44c9 | 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": [850, 852], "expectation_value": -81.58869221021033, "params": [[[-0.0025, -0.002], [3.1436, -0.0025], [0.0022, 0.0029000000000000002], [3.1441000000000003, -0.0031000000000000003], [-0.0028, -0.0037], [0.0584, 3.0824000000000003], [-0.8338, 2.2334], [0.7642, 2.3074], [0.003, 0.7838], [3.1442, -0.0022]]], "b... | 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(7)) + 3.0 * Z(2) + 15.5 * Z(0) + 8.5 * Z(1) + 22.5 * Z(5) + 2.5 * Z(4) + 16.0 * Z(3)... | 15 | 10 | 1 | {"smallest_eigenvalues": [-108.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["0010101011"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0014144407530256482) q[0];
ry(3.04406700029507) q[1];
ry(-0.07800676236979712) q[2];
ry(2.9134020137235357) q[3];
ry(0.09198579430431622) q[4];
ry(0.007394396575569506) q[5];
ry(-0.08538176451147382) q[6];
ry(-0.030969553962858012) q[7];
ry(0.04795199438071459) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZZIIII",
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIIZZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3,
15.5,
8.5,
22.5,
2.5,
16,
15.5,
-4.5,
0.5,
-12.5
] | 0.974935 | [
0.0014144407530256482,
3.04406700029507,
-0.07800676236979712,
2.9134020137235357,
0.09198579430431622,
0.007394396575569506,
-0.08538176451147382,
-0.030969553962858012,
0.04795199438071459,
3.1161407191313457,
-0.011003223179064783,
-0.02985074974673886,
-0.17149935984913234,
-0.04062632... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -108.5,
"target_ratio": 0.97,
"target_value": -105.24499999999999
} | 22 |
dab40a2f654e93a72357d226e03c7017 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -0.40836207505026845, "params": [[-0.0374, -0.0653], [0.0298, 0.0651]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.018687055883544593, 0.018687055883544596], "optimization_time": 3.921252727508545} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 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": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | 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[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
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,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [32235, 60795], "expectation_value": -17.66098448294451, "params": [[-0.1652, 0.5148, 0.45320000000000005, 0.6756], [0.32030000000000003, -0.25670000000000004, -0.2089, -0.1217]], "bitstrings": ["1000001000010100", "0001001010000100"], "total_optimization_steps": 90, "probabilities": [0.026877749767131108, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"], "largest_eigenvalue": 68.00000000000018} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0361059844083795) q[0];
rz(0.2538864396112084) q[0];
rx(0.6189462132348078) q[1];
rz(-0.21762453154559475) q[1];
rx(0.6524000169646366) q[2];
rz(0.24446300716621922) q[2];
rx(-0.12421013628383518) q[3];
rz(0.2697688833504035) q[3];
rx(0.7337250473435663) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.971641 | [
1.0361059844083795,
0.04207048271458553,
0.6189462132348078,
-0.21762453154559475,
0.6524000169646366,
0.24446300716621922,
-0.12421013628383518,
0.2697688833504035,
0.7337250473435663,
0.10891100270157394,
0.9285896273892676,
0.30968646813099326,
0.08969789985041493,
0.30290502113283285,
... | {
"n_parameters": 183,
"n_qubits": 16,
"optimal_eigenvalue": -20.00000000000009,
"target_ratio": 0.97,
"target_value": -19.400000000000084
} | 24 |
1a9ed9a666e19120fea8169482f67ae7 | 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": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43604, 43605], "expectation_value": -1.7426841699069815, "params": [[1.5326000000000002, 0.0951, 1.5831000000000002, 0.0921, 1.5508000000000002, 0.0789, 1.6213000000000002, 0.16620000000000001, 1.3334000000000001, 1.6260000000000001, 0.12010000000000001, 1.514, 0.1681, 1.6474, 0.1526, 0.11280000000000001], ... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00046296296296296303 * (Z(4) @ Z(0)) + -0.0007716049382716049 * (Z(4) @ Z(2)) + -0.00046296296296296303 * (Z(5) @ Z(1)) + -0.0007716049382716049 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0219135802468764], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0219135802468267, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0179012345678764} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.033035796970138795) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.033035796970138795) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.033035796970138795) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.033035796970138795) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
-0.0009259259259259261,
-0.0009259259259259261,
0.25,
-0.00046296296296296303,
-0.0007716049382716049,
-0.00046296296296296303,
-0.0007716049382716049,
0.25,
-0.0009259259259259261,
0.00030864197530864197,
-0.0007716049382716049,
-0.0009259259259259261,
0.00030864197530864197,
-0.0... | 0.970316 | [
0.033035796970138795,
1.1743107495162832,
-0.1865339965274806,
1.266112264251784,
1.5779903775454862,
1.4155310904505956,
-0.6418863950380682,
2.0839555776890832,
-1.4659964772380958,
-0.6930579571127811,
-0.7424560734937793,
0.02330903431462893,
0.16407577822374453,
-0.13813935710762676,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -88,
"target_ratio": 0.97,
"target_value": -85.36
} | 67 |
1d579e37a468bd880bcb1092848cc668 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [36863, 4095], "expectation_value": -46.70195453057377, "params": [0.38130000000000003, 0.3845, 0.2785, 0.2805, -0.1024, -0.10210000000000001, -0.1433, -0.12300000000000001, 0.6008, 0.5993, 0.6027, 0.6002000000000001, 0.5914, 0.5914, 0.5961000000000001, 0.6002000000000001, 0.6006, 0.5968, 0.5958, 0.599, 0.59... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(0)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * ... | 14 | 16 | 2 | {"smallest_eigenvalues": [-54.249999999999254], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.24999999999843, "smallest_bitstrings": ["1111000000000000"], "largest_eigenvalue": 125.75000000000018} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6941259116557518) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.7530958440334765) q[3];
h q[4];
ry(1.6275648338062378) q[4];
cx q[4], q[3];
ry(0.7530958440334765) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[6], q[0];
ry(0.6941259116557518) q[0];
cx q[6], q[0];
ry(-0.3... | 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": []} | [
"IIIIIIIIZIIIIIIZ",
"IIIIIIIZZIIIIIII",
"IIIIIIIZIIIIIIIZ",
"IIIIIIZIZIIIIIII",
"IIIIIIZIIIIIIIIZ",
"IIIIIIZZIIIIIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIZIIIIIIZI",
"IIIIIIZIIIIIIIZI",
"IIIIIIIIZIIIIZII",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIZIIIIIZII",
"IIIIIIZIIIIIIZII",
"IIIIIII... | [
0.5,
2,
1,
1,
0.5,
2,
0.5,
0.25,
1,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-0.5,
-1,
2,
-0.5,
1,
2,
1,
2,
1,
2,
-1,
-2,
-1,
0.5,
1,
0.5,
1,
-0.5,
-1,
-0.5,
2,
0.5,
1,
0.5,
1,
2,
... | 0.975008 | [
1.6275648338062378,
-1.506191688066953,
-1.3882518233115035,
1.0437940616691472,
-0.6850023722970648,
0.430917419283484,
-0.20458261231373315,
0.03557786349020009,
-0.11303820837731039,
0.224256866592883,
-0.03744596523400791,
-0.08823505966052633,
0.07360138473543015
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 1 |
21f200dd0d7ad9302e66f599a04b0df8 | 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": [633, 601], "expectation_value": -112.06125521187789, "params": [0.19940000000000002, 0.2975, -0.0037, 0.5084000000000001, 0.6987, 0.024900000000000002, -0.0001, 0.4077, -0.0035, 0.4531, 0.7007, 0.0234, 0.3854, 0.1768, 0.7020000000000001, 0.0005, 0.6926, 0.112, 0.2841, 0.248, -0.0035, 0.46180000000000004, 0.... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(0) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(5)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(10) @ Z(11)) + 15.0 * Z(2) + -5.0 * Z(3) + -4.0 * Z(4) + 6.5 * Z(5)... | 18 | 12 | 4 | {"smallest_eigenvalues": [-134.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["110110100110"], "largest_eigenvalue": 168.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0029297407340999893) q[0];
rz(0.37640609146497717) q[0];
rx(0.05866696662631836) q[1];
rz(0.3531243194917898) q[1];
rx(0.8266764539250473) q[2];
rz(-0.032109523628240794) q[2];
rx(0.0035429309680114693) q[3];
rz(0.4420426052126051) q[3];
rx(-0.13659336167512526) 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] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIZZIIIIII",
"IIIIZIIIIIIZ",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"ZIIIZIIIIIII",
"ZIIIIIIIIIIZ",
"ZZIIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"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,
15,
-5,
-4,
6.5,
11,
15.5,
2,
13.5,
4.5,
15.5,
-6.5,
-10.5
] | 0.975439 | [
0.0029297407340999893,
0.14560708980741893,
0.05866696662631836,
0.3531243194917898,
0.8266764539250473,
-0.032109523628240794,
0.0035429309680114693,
0.4420426052126051,
-0.13659336167512526,
0.4807493322989072,
0.7302994343171345,
-0.00782734854003455,
-0.08546544302180653,
0.17621789365... | {
"n_parameters": 135,
"n_qubits": 12,
"optimal_eigenvalue": -134.5,
"target_ratio": 0.97,
"target_value": -130.465
} | 8 |
b26977172433627efeffc1ad87824f0f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [14, 142], "expectation_value": -2.471847329576632, "params": [0.8062, 0.007, 0.1825, -0.3422, -0.0059, 0.40390000000000004, 0.18960000000000002, 0.343, 0.8004, -0.00030000000000000003, 0.8052, -0.0044, 0.811, 0.0012000000000000001, 0.1966, 0.3054, 0.8044, 0.0553, 0.1728, 0.3672, -0.0045000000000000005, 0.25... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) + -0.5 * Z(7) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["11100001", "01110001", "01111000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.3082503687469444) q[0];
rz(1.4884813989941783) q[0];
rx(-0.173553098627561) q[1];
rz(0.9519769635244621) q[1];
rx(0.3610606274437169) q[2];
rz(1.8039324084230692) q[2];
rx(-0.058436631145471096) q[3];
rz(2.074055478900952) q[3];
rx(1.0759874567570131) q[4];
rz(1.44... | 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": []} | [
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIZI",
"IZIIIZII",
"IZIIIIZI",
"IIIZIZII",
"ZIIIZIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.974383 | [
1.3082503687469444,
-0.08231492780071759,
-0.17355309862756096,
-0.6188193632704343,
0.3610606274437169,
0.2331360816281733,
-0.058436631145471096,
0.5032591521060557,
1.075987456757013,
-0.12465083599049298,
1.1651399554951583,
-0.1661476816465298,
1.2551015033586481,
0.1314346315356501,
... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 21 |
0d8d9440607c15706cae5380bc7bfd0c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.019843319254822998, "params": [[0.0745], [-0.0674]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6528059618058752e-05, 1.6528059618058755e-05], "optimization_time": 14.913439512252808} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006714876033057851 * (Z(4) @ Z(0)) + 0.0003099173553719008 * (Z(4) @ Z(2)) + -0.0006714876033057851 * (Z(5) @ Z(1)) + 0.0003099173553719008 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023657024793348], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0236570247932675, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0127066115701964} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.4727607728675043) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.015102868074323261) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.015102868074323261) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.4727607728675043) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] 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];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"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,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0006714876033057851,
0.0003099173553719008,
-0.0006714876033057851,
0.0003099173553719008,
0.25,
-0.0006714876033057851,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0006714876033057851,
-0.0008264462809917356,
-0.00067... | 0.977555 | [
1.4727607728675043,
0.015102868074323261,
-0.023651607089155036,
0.0692664265920943,
-0.7789650931180839
] | {
"n_parameters": 5,
"n_qubits": 16,
"optimal_eigenvalue": -2.023657024793348,
"target_ratio": 0.97,
"target_value": -1.9629473140495475
} | 20 |
d250d8f4fdc760c6792fe044aba3c8f3 | 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": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -7.546942512638252, "params": [[0.0512], [-0.0603]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.007027478381782189, 0.007931364925123462], "optimization_time": 1.9312341213226318} | 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(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0069419094292595285) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0069419094292595285) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0069419094292595285) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.0069419094292595285) q[3];
cx q[... | 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[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
14,
8.5,
17.5,
18,
14,
0.5,
6.5,
4.5
] | 0.980464 | [
0.0069419094292595285,
1.5961578357065018,
-1.39146175983926,
1.679134868928517,
1.731621971991924,
-1.762928847811424,
1.2889467312321607,
-1.5369584353342585,
-1.685715989040691
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 29 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 1], "expectation_value": -8.926771063651067, "params": [[[0.08850000000000001, 0.3179], [-0.0037, -0.4335], [-0.0019, 0.43010000000000004], [0.5999, -0.0]], [[0.0804, 0.3179], [-0.0007, -0.435], [-0.0008, 0.4325], [0.5987, -0.0]], [[0.0874, 0.0012000000000000001], [-0.0037, 0.0014], [-0.002, 0.0052000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
f7c0ee1d4c77af9b2736662ef168c92d | 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": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 24], "expectation_value": -11.419829411348436, "params": [1.0738, 0.7481, 0.0025, 0.0024000000000000002, 0.0023, 0.0023, 0.0023, 0.0024000000000000002, 0.006900000000000001, -0.0016, 0.8477, -0.4661, 1.6163, 0.0001, 0.1378, 1.5901, 1.314, 0.0009000000000000001, 1.2875, -0.5773], "bitstrings": ["11111", "... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(2) + -1.5 * Z(4) | 14 | 5 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.45152466802334346) q[0];
rz(1.4066147797774988) q[0];
rx(-0.07143626986274479) q[1];
rz(1.8533040800607736) q[1];
rx(-0.030778545034726844) q[2];
rz(1.5910727584465842) q[2];
rx(0.15712476886296356) q[3];
rz(2.0196619033152476) q[3];
rx(-0.3403221302148819) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZZII",
"ZZIII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"IIZII",
"ZIIII"
] | [
-1,
-2,
-2,
-2,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.972686 | [
0.4515246680233434,
-0.1641815470173972,
-0.0714362698627448,
0.2825077532658756,
-0.030778545034726844,
0.020276431651687563,
0.15712476886296356,
0.4488655765203511,
-0.3403221302148819,
-0.34670949748275537,
-0.3200738175387166,
0.07153531278562773,
0.20466436245071123,
0.04228546784642... | {
"n_parameters": 71,
"n_qubits": 5,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 62 |
aaaa17b825b48009d9b9ccd0d10cc78a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [595, 627], "expectation_value": -5.499213461174355, "params": [[1.5818, 0.3148, 0.0028, 1.5843, 0.0037, 1.5886, -0.0027, 0.002, 1.5827, 0.1537], [1.5868, 0.004, 0.0023, 1.5831000000000002, 1.6073000000000002, 1.5852000000000002, -0.0031000000000000003, -0.0029000000000000002, 1.5886, 1.6095000000000002]], "... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(4) + 0.0 * Z(... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0110001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(2.2486799264269384) q[0];
ry(0.26344440999829205) q[1];
ry(0.029698222690636003) q[2];
ry(1.29863410568049) q[3];
ry(-0.08781400936916475) q[4];
ry(1.7052417689344026) q[5];
ry(0.10740279325747212) q[6];
ry(0.257905862508611) q[7];
ry(1.720117436227918) q[8];
ry(-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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IIIIIZIIZI",
"IIIZIZIIII",
"IIIIZIIZII",
"IZIIIIIZII",
"ZIIIIIIZII",
"IIIZIIZIII",
"IZZIIIIIII",
"IIZIIIZIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIZIII"... | [
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,
-1.5,
-1,
-0.5,
0,
-0.5,
0,
-0.5,
-0.5
] | 0.971913 | [
2.2486799264269384,
0.26344440999829205,
0.029698222690636003,
1.29863410568049,
-0.08781400936916475,
1.7052417689344026,
0.10740279325747212,
0.257905862508611,
1.720117436227918,
-0.061212334240145196,
0.77970226389056,
0.18596049663951564,
0.07113373862361484,
1.7912175866604652,
2.9... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 20 |
eaf152c9366c1fc70b9994ec462b6b4c | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -0.26622867586681165, "params": [[0.0809], [-0.0863]], "bitstrings": ["011100", "111000"], "total_optimization_steps": 10, "probabilities": [0.017896015476972126, 0.018296569483510307], "optimization_time": 1.1363260746002197} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.6888090260409325) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.6888090260409325) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.6888090260409325) q[1];
cx q[2], q[1];
rz(0.6888090260409325) q[3];
cx q[0], q[3];
rz... | 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[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[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIIIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-1.5,
0,
-0.5
] | 0.97417 | [
0.6888090260409325,
-0.8365933516710795,
0.4055984428236141,
-0.5984647884441731,
0.6289659276331325,
0.03651754152469934,
-0.5975771749548225,
-0.20606642446438989,
0.7006882864312995,
-0.769960966506855,
-1.1910601522991142,
-0.06878545903780295,
-0.25779646726100014,
0.6591243819959086,... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
685055bd53f01c347f7f2a1d5c7df105 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [101, 85], "expectation_value": -3.9991283032043294, "params": null, "bitstrings": ["0011010", "0101010"], "total_optimization_steps": 32, "probabilities": [0.06552859493164183, 0.9338516756549212], "optimization_time": 26.677067279815674} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101010", "0011010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4797837349974001) q[0];
h q[1];
ry(-0.4594080077714834) q[1];
h q[2];
cx q[2], q[1];
ry(0.4594080077714834) q[1];
cx q[2], q[1];
ry(-0.5285091559094166) q[1];
ry(1.0501560861052301) q[2];
cx q[0], q[2];
ry(-0.3025437017855025) q[2];
cx q[0], q[2];
cx q[0], ... | 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(-1.5681) 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] = measure q[6];\n", ... | [
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.997373 | [
-1.5405747286543274,
1.4797837349974001,
-0.9188160155429668,
0.7476123843197278,
-0.26430076643161604,
0.605087403571005,
-0.5284167789556011,
0.3929290780401221,
-0.17663854259786047,
0.19831948416073308,
0.08498676328191558,
0.02449914135155666,
-0.004685982379966258,
-0.210952603139486... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
1a255f6744625db820c74a987d4dbcf8 | 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}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [452, 511], "expectation_value": -12.25380968010107, "params": null, "bitstrings": ["000111011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.05233853888910888, 0.38161225992181874], "optimization_time": 236.8794596195221} | -2.0 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -3.0 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(0.36945060893539006) q[4];
h q[5];
ry(0.7030223987611391) q[5];
h q[6];
ry(0.7030223987611391) q[6];
h q[7];
h q[8];
ry(0.7030223987611391) q[8];
cx q[3], q[8];
ry(-0.7030223987611391) q[8];
cx q[3], q[8];
cx q[8], q[4];
ry(-0.... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], 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... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZIIZIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"... | [
-2,
-1.5,
0.5,
-2.5,
1,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970247 | [
1.4060447975222783,
0.7389012178707801,
-1.0746662758429923,
0.1336439481642926,
2.043277672238302,
0.14236900494370153,
0.7307084289340497,
-0.10518570438264119,
-0.5673250120745994,
-0.027788560803463667,
1.2685618874824198,
2.0096859657299238,
-1.8280475084219203,
0.8050251719321194,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 388 |
c502b67eb6d91d909ba398fa39bec60c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [20, 23], "expectation_value": -3.499934076181417, "params": null, "bitstrings": ["01011", "01000"], "total_optimization_steps": 19, "probabilities": [1.3833501308055688e-05, 0.9999481856908635], "optimization_time": 11.866241693496704} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | 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",
"IZIZI",
"ZIIZI",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
0,
0,
0
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
-2458627907467398318 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 4], [2, 5], [1, 3]]} | {"states": [37, 49], "expectation_value": -0.04758455393651542, "params": [[-0.0767], [0.079]], "bitstrings": ["011010", "001110"], "total_optimization_steps": 10, "probabilities": [0.017152289806363245, 0.017152289806363245], "optimization_time": 1.774775505065918} | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 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": ["110001", "100101", "001110", "011010"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(3.1498647044228827) q[0];
rz(1.0275517859378955) q[0];
rx(3.0434108636750685) q[1];
rz(-1.2615753283676772) q[1];
rx(0.13728111243922125) q[2];
rz(-0.6317390697821637) q[2];
rx(0.049460700154926235) q[3];
rz(0.05969368589954577) q[3];
rx(0.24736280122343762) q[4];
rz... | 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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[3], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZZIIII",
"IZIIIZ",
"ZIIZII",
"IIZIZI",
"ZIIIII",
"IZIIII",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.974522 | [
3.1498647044228827,
1.0275517859378955,
3.0434108636750685,
-1.2615753283676772,
0.13728111243922125,
-0.6317390697821637,
0.049460700154926235,
0.05969368589954577,
0.24736280122343762,
-1.7305376013547338,
3.3032572019850623,
1.3296281036872712
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
abebab5175d0d0d89bf916154d0e1360 | 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": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -0.09617784498527612, "params": [[-0.040400000000000005], [0.0504]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.01626736214014894, 0.016523707015483245], "optimization_time": 1.1791203022003174} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | 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[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[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
f222dfb2324275edf5e9240be57dcb14 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [77, 109], "expectation_value": -1.834447321600558, "params": [-0.0005, 0.2879, 0.387, 0.24280000000000002, 0.6053000000000001, 0.2876, 0.5991000000000001, 0.1895, 0.40040000000000003, 0.29700000000000004, 0.609, 0.0732, 0.605, -0.002, 0.0019, 0.4567, 0.6069, 0.0009000000000000001, 0.0051, 0.4291000000000000... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(0) @ Z(5)) + -0.125 * (Z(3) @ Z(0) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(5) @ Z(6)) + 0.12... | 16 | 9 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["110010010", "110100010", "101010010"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.07648152232230113) q[0];
rz(0.9216052864556517) q[0];
rx(1.7238757987083333) q[1];
rz(0.5715058600387561) q[1];
rx(0.5367869467538573) q[2];
rz(0.022857746598916207) q[2];
rx(1.8244911597998281) q[3];
rz(-0.23271919603398716) q[3];
rx(-0.32748779038630377) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IIIZIZIIZ",
"IIZIIZIIZ",
"IIZZIIIIZ",
"IIZZIZIII",
"IIZZIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZZIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIIZZIIZI",
"ZIIIZIIZI",
"... | [
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,
0.125,
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.... | 0.970993 | [
-0.07648152232230113,
0.6285015174134017,
1.7238757987083333,
0.5715058600387561,
0.5367869467538573,
0.022857746598916207,
1.8244911597998281,
-0.23271919603398716,
-0.32748779038630377,
0.01580364509740706,
2.1030469978115702,
0.30694892068083535,
1.2562968153353444,
0.25420176798302757,... | {
"n_parameters": 49,
"n_qubits": 9,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 28 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 110.85363268852234} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 3 | {"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": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-2.815869706397565) q[0];
rz(-0.10266699916250133) q[0];
rx(2.938411203352395) q[1];
rz(-0.359908355829058) q[1];
rx(-0.027903752025837614) q[2];
rz(0.2181567296090501) q[2];
rx(3.0078051915562813) q[3];
rz(0.18559254664400454) q[3];
rx(0.33346172350010733) q[4];
rz(... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"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... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
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
] | 0.97428 | [
3.467315600782021,
-0.08758761771970738,
2.938411203352395,
-0.359908355829058,
-0.027903752025837614,
0.2181567296090501,
3.0078051915562813,
0.18559254664400454,
0.33346172350010733,
0.007502932029881421,
3.1040264026485866,
0.08178816583284416,
0.10051399472175349,
-0.3883946671857684,
... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
081a3ef2a02910794db9cb14b9d27e2c | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [10, 12], "expectation_value": -1.9729032350612994, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367529, 0.899032607013672], "optimization_time": 7.189026355743408} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01110", "11100", "10011", "01011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [108, 92], "expectation_value": -5.999128330009992, "params": null, "bitstrings": ["0010011", "0100011"], "total_optimization_steps": 36, "probabilities": [0.0655282774722971, 0.9338520119778738], "optimization_time": 50.526609659194946} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(5) + -0.5 * Z(0) + -2.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100011", "0010011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3552108084077015) q[0];
h q[1];
ry(-0.4874831096631151) q[1];
h q[2];
cx q[2], q[1];
ry(0.4874831096631151) q[1];
cx q[2], q[1];
ry(-0.6397925592762816) q[1];
ry(0.8278733011707379) q[2];
cx q[0], q[2];
ry(-0.22688363096049208) q[2];
cx q[0], q[2];
cx q[0],... | 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[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", ... | [
"IZIIIIZ",
"ZZIIIII",
"ZIIIIIZ",
"IZIIIZI",
"ZIIIIZI",
"IZIIZII",
"ZIIIZII",
"IIIIZZI",
"IZIZIII",
"ZIIZIII",
"ZIZIIII",
"IZIIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2.5,
-1,
-1,
-0.5,
0
] | 0.994807 | [
-1.6429228358157495,
1.3552108084077015,
-0.9749662193262302,
0.6009896702102457,
-0.44532252176755166,
0.45376726192098416,
-0.3889400750174599,
0.24808446137787232,
-0.1650064356971122,
0.0761369428508101,
0.16875073918238181,
0.062165518547061156,
0.21555729404213014,
0.0369350501633928... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 1 |
a4887282391b847c36275b441eb6d545 | 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": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [4, 20], "expectation_value": -4.619144414788679, "params": [[[0.0006000000000000001, 0.3185], [0.5771000000000001, 0.0026000000000000003], [-0.0051, 0.3224], [0.5805, 0.0012000000000000001], [0.076, -0.24430000000000002], [0.0828, -0.2411]], [[0.0041, 0.32530000000000003], [0.5721, 0.0026000000000000003], [... | 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(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(1) + -2.0 * Z(0) + -2.0 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["111100", "101011"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | 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",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-2,
-1.5,
-1.5,
-1.5
] | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
68c7da6fdb681219b05150137870d7db | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [0, 1], "expectation_value": -2.3647596323705047, "params": [[[0.003, 0.3574], [0.0022, 0.394], [0.0024000000000000002, 0.5555], [0.8064, -0.0038]], [[0.0045000000000000005, 0.0034000000000000002], [0.0034000000000000002, 0.0037], [0.0024000000000000002, 0.0014], [0.8103, 0.0047]]], "bitstrings": ["1111", "1... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4747694771302854) q[0];
cx q[1], q[0];
rz(0.4747694771302853) q[1];
rx(1.6040217911993713) q[1];
h q[2];
cx q[0], q[2];
rz(0.2577776396192456) q[2];
cx q[0], q[2];
rz(0.2577776396192455) q[2];
rx(1.6040217911993713) q[2];
h 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.75,
1.25,
-0.25,
-0.25,
-0.75,
1.25
] | 0.97003 | [
0.4747694771302854,
0.2577776396192456,
-0.24792115441309612,
1.6040217911993713,
0.6580701942906415,
0.4924019843505966,
-0.4259244675879271,
0.9035120634644073,
0.1777470916142513,
0.29049043206086195,
-0.40365758275486097,
0.5898445102530697,
0.6900131868427873,
0.7498956364737696,
-0... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 121 |
5335046281359263337 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6], [0, 1, 2, 3], [1, 2, 3, 4, 5, 6, 7], [0, 3, 4, 5, 7], [0, 4, 6]]} | {"states": [151, 215], "expectation_value": -1.1118718900289881, "params": null, "bitstrings": ["01101000", "00101000"], "total_optimization_steps": 50, "probabilities": [0.11972572094177499, 0.6062912021731703], "optimization_time": 83.64941000938416} | 0.13333333333333333 * (Z(0) @ Z(1)) + 0.15714285714285714 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(1)) + 0.1 * (Z(5) @ Z(0)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.07380952380952381 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(0)) + 0.07380952380952381 * (Z(6) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.173809523809524, -1.173809523809524], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1738095238095236, "smallest_bitstrings": ["00010010", "00101000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.4564873703819152) q[0];
h q[1];
h q[2];
ry(-0.2985805038644344) q[2];
cx q[1], q[2];
ry(0.2985805038644344) q[2];
cx q[1], q[2];
ry(-0.10495213626859609) q[1];
cx q[2], q[1];
ry(0.10495213626859609) q[1];
cx q[2], q[1];
ry(0.46880432168191927) q[1];
ry(-0.1... | 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(1.438) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIZI",
"ZIIIIII... | [
0.13333333333333333,
0.15714285714285714,
0.13333333333333333,
0.07380952380952381,
0.1,
0.07380952380952381,
0.07380952380952381,
0.21666666666666667,
0.07380952380952381,
0.07380952380952381,
0.10714285714285714,
0.13333333333333333,
0.10714285714285714,
0.07380952380952381,
0.02380952... | 0.980929 | [
1.4564873703819152,
0.7379028715209621,
0.34751513785683324,
0.47939224352166043,
-0.432405521758327,
0.4478141775598771,
0.37435303448897195,
-0.5971610077288688,
0.14821273543272273,
-0.20990427253719218,
0.5109058062729952,
-0.2998453302410154,
0.45350582548400525,
-0.3898571430801109,
... | {
"n_parameters": 49,
"n_qubits": 8,
"optimal_eigenvalue": -1.173809523809524,
"target_ratio": 0.97,
"target_value": -1.1385952380952382
} | 2 |
545bcfb51b62530fdc9be7975a5d5ce0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [6, 22], "expectation_value": -2.6039865624170027, "params": [[[0.2691, 0.0023], [0.0021000000000000003, 0.009000000000000001], [1.6619000000000002, 0.0032], [0.2723, 0.0], [1.7047, 0.0043], [1.6917, 0.0068000000000000005], [1.2595, 0.0048000000000000004]]], "bitstrings": ["1111001", "1101001"], "total_optim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + 0.0 * Z(4) + -0.5 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1111000", "1101001", "0110011", "0101011", "1110010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.09915161758488733) q[0];
rz(0.5998608345753378) q[0];
rx(-0.18145067014966562) q[1];
rz(0.5998810291765536) q[1];
rx(2.985543745430076) q[2];
rz(0.18183328406824287) q[2];
rx(0.1602542015299359) q[3];
rz(-0.3000666034580351) q[3];
rx(2.9993657724506377) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"ZIIIZII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-0.5,
-1,
0,
-0.5
] | 0.972393 | [
-0.09915161758488733,
0.5998608345753378,
-0.18145067014966562,
0.5998810291765536,
2.985543745430076,
0.18183328406824287,
0.1602542015299359,
-0.3000666034580351,
2.9993657724506377,
0.3162526865993821,
3.4061133890586293,
-0.020036260773223513,
0.38438153064552155,
0.056070252525510594
... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 18 |
-4296608395322037532 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 6], [0, 2], [3, 6], [0, 4]]} | {"states": [23, 53], "expectation_value": -0.05391326068230237, "params": [[0.0755], [-0.0811]], "bitstrings": ["1101000", "1001010"], "total_optimization_steps": 10, "probabilities": [0.008676413645516778, 0.00867641364551678], "optimization_time": 0.512974739074707} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * Z(5) + 0.16666666666666666 * Z(1) + 0.16666666666666674 * Z(6) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0010101", "1001010", "1101000"], "largest_eigenvalue": 2.9999999999999996} | 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[1];
rz(0.37608537322047636) q[1];
cx q[5], q[1];
h q[6];
cx q[5], q[6];
rz(0.37608537322047636) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(0.3760853732204761) q[5];
rx(-0.7910761886848757) q[5];
rz(0.376085373220476... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIIIZ",
"IIIIZIZ",
"ZIIZIII",
"IIZIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666674,
0,
0,
0,
0
] | 0.512092 | [
0.37608537322047636,
0.8677375310161671,
-0.059650984622638924,
-0.7910761886848756
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 115 |
a3571c19d72a014065614d323aff3379 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.949732949292838, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10575607167947162, 0.6067362425290842], "optimization_time": 58.45690321922302} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (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)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
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... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[3], 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 ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-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 |
e1ee122704659894b3696f576081a2cf | matching | adaptive_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": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [217, 218], "expectation_value": -42.26491461623393, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.1663030096086743, 0.18861779229297382], "optimization_time": 174.39323568344116} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
rz(-pi) q[1];
ry(-1.518671701368228) q[1];
rz(-pi) q[2];
ry(-1.9184711946259563) q[2];
h q[3];
ry(-1.2690479153113619) q[3];
h q[4];
ry(-23.541155883975833) q[4];
ry(-2.629522226413252) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.10390085226328306) q[6];
rz(-pi) q[7];
ry(... | null | {"matching": "perfect", "extra": "{\"n\": 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(-23.4164) 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] =... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
3,
11,
8,
17,
13,
14.5,
-3,
11
] | 0.97302 | [
-23.541155883975833,
-22.201792305180028,
-10.44860589835898,
27.49141951167771,
-61.96137406619712,
3.080269444625393,
-25.864833907236953,
4.733351032142052,
-3.079267506251181,
-0.039701959139668175,
0.005758186826557363,
5.749940586601983,
-1.5587100755489378,
0.059962355157045386,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 94 |
36fc1c5be2c91695283e8185a1ebb45b | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [408, 409], "expectation_value": -2.0822914494336993, "params": [0.7050000000000001, 0.6955, 0.6794, 0.6682, 0.2119, 0.2116, 0.0095, 0.011600000000000001, 0.6914, 0.6960000000000001, 0.6741, 0.613, 0.24070000000000003, 0.2424, 0.009000000000000001, -0.0022, 0.4112, 0.40080000000000005, 0.7031000000000001, 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)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + -0.25 *... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["100100110", "100101001", "100010110", "100010011", "010110001", "010101001", "010100110", "010100101", "001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.590672093523573) q[0];
rz(pi/2) q[0];
ry(0.48554281214560124) q[1];
ry(0.24698811501930573) q[2];
ry(0.013091478036814153) q[3];
ry(0.926188328539264) q[4];
ry(0.943892538476665) q[5];
ry(0.15494952665883352) q[6];
ry(0.03949562253087151) q[7];
ry(0.940475882142962... | 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",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"IZIZIIIII",
"IZIZIIIZI",
"ZZIIIIIII",
"IIZIIIZII",
"ZIIIIIZII",
"ZIZIIIIII",
"ZIZIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
0,
0,
-0.5,
-0.25,
0,
0,
-0.25,
-0.25
] | 0.9741 | [
0.590672093523573,
0.48554281214560124,
0.24698811501930573,
0.013091478036814153,
0.926188328539264,
0.943892538476665,
0.15494952665883352,
0.03949562253087151,
0.9404758821429625,
0.8843617937735004,
-0.6819864428671916,
0.1079809927660766,
0.030404993430774394,
-0.17637413776864358,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
1485470735114011253 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 10, 11], [8, 1, 2], [0, 9, 10, 4], [0, 1, 2, 11], [10, 4, 5], [0, 1, 3, 10, 11], [9, 5], [8, 1, 6], [1, 2, 7], [11, 4, 5], [0, 2, 4, 6, 7], [3, 11, 4], [1, 6, 9], [8, 1, 10], [10, 6], [9, 3, 4, 7]]} | {"states": [1183, 3231], "expectation_value": -4.218264652345135, "params": [[[1.6677000000000002, 0.0006000000000000001], [3.1442, 0.0073], [-0.0031000000000000003, 0.0085], [0.0021000000000000003, 0.0056], [3.144, 0.0013000000000000002], [-0.0022, 0.0059], [-0.0021000000000000003, 0.0094], [3.144, 0.0094], [3.1438, 0... | 0.25 * (Z(9) @ Z(10)) + 0.21666666666666667 * (Z(11) @ Z(10)) + 0.16666666666666666 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(10)) + 0.21666666666666667 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.13333333333333333 * (Z(1) @ Z(11)) + 0.5 * (Z(1) @ Z(8)) + 0.08333333333333333 * (Z(2) @ Z(11)) + 0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.233333333333333, -4.233333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.200000000000002, "smallest_bitstrings": ["001101100000", "000001111001"], "largest_eigenvalue": 15.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.5733748050574126) q[0];
rz(0.25939095128798784) q[0];
rx(3.134672607524569) q[1];
rz(0.021876295527830415) q[1];
rx(0.039528679120787835) q[2];
rz(0.1578436811061323) q[2];
rx(-0.04181813922333278) q[3];
rz(0.04178762913533836) q[3];
rx(3.1034758629769525) 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[... | null | {"circuits": [], "gradients": []} | [
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IZIZIIIIIIII",
"IZIIIIIIIIZI",
"IIZIIIIIIIZI",
"ZIIIIIIIIIZI",
"IIIZIIIIIIZI",
"ZIIIIIIIIZII",
"IIIZIIIIIZII",
"IIIIIIIIIZZI",
"IZIIIIIIIIIZ",
"IIZIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IZIIIIIZIIII",
"IIZIIIIZI... | [
0.25,
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.13333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.41666666666666663,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.... | 0.993924 | [
1.5733748050574126,
0.25939095128798784,
3.134672607524569,
0.021876295527830415,
0.039528679120787835,
0.1578436811061323,
-0.04181813922333278,
0.04178762913533836,
3.1034758629769525,
0.010501801822730531,
0.042759688923175984,
0.07172467719633119,
-0.11459228411889663,
0.09941459136448... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -4.233333333333333,
"target_ratio": 0.97,
"target_value": -4.106333333333334
} | 1 |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -11.133003212153895, "params": [0.0011, 0.5106, 0.0027, 0.37720000000000004, 0.0029000000000000002, -0.5924, 0.0006000000000000001, 0.2275, 0.0028, 0.6007, 0.0026000000000000003, 0.3991, -0.0027, 0.6117, 0.8105, 0.0005, 0.0011, 0.006900000000000001, 0.0029000000000000002, 0.00030... | -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 *... | 3 | 8 | 2 | {"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] 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": []} | [
"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 |
a2ddde559fc9aeb004a8b74765861122 | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 3839], "expectation_value": -0.36269418819744953, "params": [[0.0528], [-0.042100000000000005]], "bitstrings": ["000000000000", "000100000000"], "total_optimization_steps": 10, "probabilities": [0.0003143107332215202, 0.0003171108542483962], "optimization_time": 1.8820984363555908} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.002278445349340894) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.002278445349340894) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.4112629981250393) q[1];
rx(-1.5646991762460063) q[1];
rz(0.002278445349340894) q[2];
cx q[0], q[2];
rz(... | 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[12] c;
qubit[12] 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];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIZZIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIZIIIIII",
"IIIZIIIIIIII",
"IIIIZIIII... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.801355 | [
0.002278445349340894,
-0.0019617786897399075,
1.41126299812504,
-1.5707962132154107,
-1.5646991762460063
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 157 |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [84, 85], "expectation_value": -2.68756565564366, "params": [0.9841000000000001, 0.2321, -0.0097, 0.5398000000000001, 0.9932000000000001, 0.2508, 0.19360000000000002, 0.4838, 0.9996, -0.0024000000000000002, 0.0024000000000000002, 0.7467, 0.5659000000000001, -0.0032, 0.9798, 0.2472, -0.0103, 0.532600000000000... | 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(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
a1c773c0b570f64d3c3d3a505084c546 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [126, 33], "expectation_value": -3.8937114248327482, "params": [[0.0781, 0.07150000000000001, 0.0738, 0.07250000000000001], [-0.0801, -0.0629, -0.0625, -0.0609]], "bitstrings": ["0000001", "1011110"], "total_optimization_steps": 10, "probabilities": [0.031228791010057443, 0.04806649923775037], "optimization_... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5874017135860925) q[0];
h q[1];
ry(1.608914631976602) q[1];
h q[2];
ry(-1.5874017135860925) q[2];
h q[3];
ry(-1.5874017135860925) q[3];
h q[4];
ry(-1.5874017135860925) q[4];
ry(-0.05125907922144988) q[5];
rz(-pi) q[5];
h q[6];
ry(0.7820613171932738) q[6];
... | 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",
"IIZIZII",
"IIZIIIZ",
"ZIIIZII",
"ZIIIIIZ",
"IIZIIZI",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"IIIZIZI",
"IZIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
-0.75,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1,
0.75,
-0.25,
-0.25,
0,
2.5,
-1.75,
-1
] | 0.99923 | [
1.608914631976602,
1.5641226343865475,
-1.5874017135860925,
-1.5438637253244718,
0.04865295550204985
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 1 |
dca74c4464ee5c0862a21e9a873391f9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [92, 88], "expectation_value": -2.032849731724801, "params": [0.197, 0.0063, 0.20020000000000002, 0.0064, 0.1862, -0.0056, 0.17800000000000002, -0.004200000000000001, 0.2071, 0.0032, 0.20140000000000002, 0.0035, 0.2068, 0.0007, 0.2013, 0.0009000000000000001, 0.1658, -0.0308, 0.159, -0.030500000000000003, 0.1... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) | 6 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["1101010", "1100011", "1110001", "0110101", "0011101", "0101110", "0100111", "0001111"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.3261879765800164) q[0];
rz(1.3498234549150556) q[0];
rx(0.16548659132819363) q[1];
rz(1.4526953729286571) q[1];
rx(0.2776296021368347) q[2];
rz(1.5160908817020786) q[2];
rx(0.6279148589634342) q[3];
rz(1.4920196900062512) q[3];
rx(-0.006774915293495331) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIIZIZI",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
-0.5,
-1,
-0.5,
0
] | 0.971022 | [
0.3261879765800164,
-0.22097287187984072,
0.1654865913281936,
-0.11810095386623967,
0.2776296021368347,
-0.05470544509281741,
0.6279148589634342,
-0.07877663678864508,
-0.006774915293495332,
-0.06537013826367577,
-0.25990680458911103,
0.024489350374356463,
0.0028759361912815695,
0.50129538... | {
"n_parameters": 130,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 39 |
-2125662797775598836 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 2], [3, 5], [0, 4], [4, 6], [0, 7]]} | {"states": [178, 210], "expectation_value": -0.064572905306229, "params": [[0.07250000000000001], [-0.0756]], "bitstrings": ["01001101", "00101101"], "total_optimization_steps": 10, "probabilities": [0.004431271222022994, 0.004431271222022994], "optimization_time": 0.5092184543609619} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00101101", "10110010", "11010010", "01001101"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.9427441076008608) q[1];
cx q[2], q[1];
rz(8.260850670183117e-09) q[1];
rx(-0.7853981092870267) q[1];
rz(8.260850670183117e-09) q[2];
rx(-0.7853981092870267) q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.9427441076008608) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[0]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIIZ",
"IZIZIIII",
"ZIIIIIIZ",
"IIZIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427441076008608,
8.260850110949885e-9,
-0.7853981092870266
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 23.020554780960083} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) 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] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.