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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [9, 6], "expectation_value": -1.5881276829737938, "params": null, "bitstrings": ["0110", "1001"], "total_optimization_steps": 17, "probabilities": [0.1721830324863317, 0.6568759212517967], "optimization_time": 7.902020454406738} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | null | {"start_node": 0, "end_node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 25], "expectation_value": -3.996464085561465, "params": null, "bitstrings": ["001110", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634840431890607, 0.9303662506161934], "optimization_time": 13.957247495651245} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -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": ["001110", "100110"], "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(-0.30035957140227065) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.30035957140227065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.30035957140227065) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.30035957140227065) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IIZIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
0,
-0.5
] | 0.970623 | [
-0.30035957140227065,
1.1368758079646883,
-1.8923990284899774,
1.0436850348571591,
1.415620980349364,
-0.5091827167950427,
1.4790986719477293,
0.8820371628830349,
0.46473221419256594,
-0.15090594742638722,
0.055618018346008394,
0.32882508347878925,
-0.3312498441524585,
-0.09748772199396417... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 54 |
1d36f605f450bd24c53bed4c61ab6422 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [49055, 47007], "expectation_value": -18.614774103272747, "params": [1.5736, 1.5598, 0.1952, 0.2785, 1.9838, 0.9399000000000001, -1.2516, -1.2359, 1.2312, 1.1862000000000001, 1.2214, 1.2058, 1.5135, 1.6204, 1.5784, 1.5555, 1.5719, 1.5744, 0.004, 0.0006000000000000001, 0.1014, 0.0555, 1.9775, 1.17190000000000... | -0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(11) @ Z(3)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(6... | 14 | 16 | 1 | {"smallest_eigenvalues": [-19.166666666666586], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.166666666666583, "smallest_bitstrings": ["0100100001100000"], "largest_eigenvalue": 57.50000000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.44173747837386507) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(-0.44173747837386507) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.005603409297500889) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.005603409297500889) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIZIIIIIIZIII",
"IIIIZIIIIIIIZIII",
"IIIIZZIIIIIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIZIIIIIZIIII",
"IIIIZIIIIIIZIIII",
"IIIIIIIIIIZIZIII",
"IIIIIZIIIIZIIIII",
"IIIIZIIIIIZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIII... | [
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.33333333333333337,
0.5,
0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
... | 0.970536 | [
-0.44173747837386507,
0.005603409297500889,
0.05836178307980425,
-1.201402489306377,
-0.9317048549953064,
0.7320633774444789,
0.772973794919639,
-1.6652911638748984,
-0.7518283058778058,
0.06520245980832098,
0.12228192436712314,
-0.10637680738364871,
-0.2779417698846335,
1.5718265483768925... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 91 |
71bc29fb36488a293ce19bf05d480b6c | kclique | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -4.578426851476142, "params": [[[0.9901000000000001, 0.002], [0.8203, 0.0082], [0.9881000000000001, 0.008400000000000001], [0.9881000000000001, 0.0098], [1.7990000000000002, 0.0098], [1.7957, 0.0074], [1.62, 0.0028]]], "bitstrings": ["1111001", "1111000"], "total_optimization_ste... | 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)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6612840374081045) q[0];
rz(-pi) q[1];
ry(-0.03150573110831684) q[1];
h q[2];
ry(-0.43599685318391757) q[2];
h q[3];
h q[4];
ry(1.546350830551531) q[4];
h q[5];
cx q[5], q[2];
ry(0.43599685318391757) q[2];
cx q[5], q[2];
cx q[5], q[0];
ry(0.6612840374081045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"k": 4} | {"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... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.25,
-3.75,
-3.25,
-3.25,
-3.25,
-2.75,
-3,
-3.25
] | 0.972365 | [
-1.523491197219107,
-0.20073046165090452,
-0.8719937063678351,
1.546350830551531,
-1.322568074816209,
0.7336476421619882,
-0.5561918284302394,
1.2696012849732945,
-0.16936496001740498,
0.30413099721442094,
-0.6531582873808613,
0.3365504327496698,
-0.7065468577519943,
0.3133726368643047,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 71 |
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": 0.23692989349365234} | -1.0 * Z(0) | 1 | 1 | 4 | {"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 |
bc66253cf8720682f4eebbf8e558ad61 | min_cut | vqe | {"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": [3, 1], "expectation_value": -7.944438089921207, "params": [[[0.007, -0.2706], [0.0011, 0.46280000000000004], [0.4676, 0.005], [0.0048000000000000004, 0.43520000000000003], [0.4665, 0.004200000000000001], [0.6036, 0.0013000000000000002]], [[0.003, 0.2896], [0.0051, 0.42460000000000003], [0.46430000000000005,... | -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 | 3 | {"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 |
-2144301067303883569 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 4, 7], [1, 2, 3, 4, 7], [0, 4, 5, 6], [1, 4, 6], [3, 6, 7], [1, 2, 5], [0, 1, 2, 3, 7], [1, 3, 5]]} | {"states": [242, 205], "expectation_value": -0.049818676908365896, "params": [[-0.048100000000000004], [0.0572]], "bitstrings": ["00001101", "00110010"], "total_optimization_steps": 10, "probabilities": [0.004046531220373732, 0.0040480833608001355], "optimization_time": 0.980349063873291} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(3) @ Z(4)) + 0.1 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.13333333333333333 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.2333333333333343], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2333333333333334, "smallest_bitstrings": ["00110010"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.02138766304001914) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.0006334358188267043) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-0.0004148266912401572) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZIZII",
"IIZZIIII",
"IIZIIZII",
"IIIZIIIZ",
"IIIIIZIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIIIZZII",
"IIZIZIII",
"IIIIZIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIIIZIII",
"IIIZIIZI",
"IIIIIZZI",
"IIZIIIZI",
"IIIIIIZZ",
"IIIIZIZI",
"ZIIIIIZI",
"IZIZIIII",
"IZZIIIII",
"IZIIIII... | [
0.21666666666666667,
0.25,
0.3333333333333333,
0.16666666666666666,
0.05,
0.08333333333333333,
0.13333333333333333,
0.1,
0.16666666666666666,
0.13333333333333333,
0.13333333333333333,
0.1,
0.13333333333333333,
0.35,
0.21666666666666667,
0.26666666666666666,
0.3333333333333333,
0.05... | 0.970178 | [
-0.02138766304001914,
-0.0006334358188267043,
0.0021655138266660568,
-0.0004148266912401572,
-0.015624316836431394,
0.012217910381224002,
-0.013293335511788592,
0.0020603748671467826,
-0.4646647926972717,
-0.01592293117026933,
-1.5094291640030673,
-1.550745396161664,
1.6165797032075737,
-1... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -2.2333333333333343,
"target_ratio": 0.97,
"target_value": -2.166333333333334
} | 182 |
3ea7bb05de4f5fdf541a2325d08fe198 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [709, 837], "expectation_value": -95.01904647011719, "params": [-0.0022, 1.5624, 1.0704, -0.08750000000000001, 1.088, 0.5318, 0.9421, -0.1557, 1.252, 0.33840000000000003, -0.0028, 0.7474000000000001, 0.0006000000000000001, -1.2439, -0.0038, 1.038, 1.0485, 0.006200000000000001, 0.0016, 0.7462000000000001, 1.0... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(6) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + -5.5 * Z(0) + 10.0 * Z(1) + 5.0 * Z(3) + -0.5 * Z(2) + 5.0 * Z(5) + 2.5 * Z(4) + 6.0 * Z(8) + -4.0 * Z(7) + 7.5 * Z(10) + -5.0 * Z(6) + -7.0 *... | 18 | 11 | 3 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["10010111010"], "largest_eigenvalue": 83.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.027886254906449963) q[0];
rz(1.5843116499222045) q[0];
rx(1.1312485349678436) q[1];
rz(-0.01179664871096258) q[1];
rx(1.1058234294945066) q[2];
rz(0.34246717833246354) q[2];
rx(0.7197209822411468) q[3];
rz(-0.309602378103363) q[3];
rx(1.1700858725836534) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IIIIZIIIIII",
"IZIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-5.5,
10,
5,
-0.5,
5,
2.5,
6,
-4,
7.5,
-5,
-7
] | 0.972673 | [
-0.02788625490644997,
1.5659850560763788,
1.1312485349678436,
-0.01179664871096258,
1.1058234294945066,
0.34246717833246354,
0.7197209822411468,
-0.309602378103363,
1.1700858725836534,
0.28621363169167036,
0.03687992892814554,
0.7060083464785435,
-0.044858434178254,
-1.328425130093632,
-... | {
"n_parameters": 91,
"n_qubits": 11,
"optimal_eigenvalue": -97,
"target_ratio": 0.97,
"target_value": -94.09
} | 3 |
3c5cc977d7e35e081374f34765fcfaa3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [250, 234], "expectation_value": -33.683188819401465, "params": [1.2737, 0.0057, 2.2984, 0.0012000000000000001, 2.2964, 0.0012000000000000001, 2.2954000000000003, 0.0054, 1.4905000000000002, 0.0079, 2.2936, 0.007, -0.0025, 0.01, 2.3077, 0.0023, 1.2695, 0.0074, 0.008400000000000001, 0.0023, 0.0013000000000000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 5.5 * Z(2) + 15.0 * Z(1) + 2.5 * Z(0) + 9.5 * Z(5) + 6.5 * Z(3) + 4.0 * Z(4) + 2.5 * Z(8) + 2.5 * Z(7) + -9.5 * Z(6) | 18 | 9 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 109.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.055013723542706026) q[0];
rz(-0.003610521847075887) q[0];
rx(2.992491686865651) q[1];
rz(0.1974572348251702) q[1];
rx(2.828001035992054) q[2];
rz(0.1974572348251702) q[2];
rx(2.9097116149761497) q[3];
rz(-0.3454586308944373) q[3];
rx(-0.05870533779566656) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIZIZIII",
"IIIZZIIII",
"IIIIZZIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
5.5,
15,
2.5,
9.5,
6.5,
4,
2.5,
2.5,
-9.5
] | 0.974718 | [
-0.05501372354270603,
-0.23157537545841034,
2.992491686865651,
0.1974572348251702,
2.828001035992054,
2.9097116149761497,
-0.3454586308944373,
-0.05870533779566656,
0.07145071595578895,
3.3665852287654148,
-0.25804510247611967,
0.08882556325363686,
-0.18556291063313923,
2.8576606803946354,... | {
"n_parameters": 23,
"n_qubits": 9,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 19 |
6358d823634816a230e720ca61b6d85c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [114, 106], "expectation_value": -0.6085571804214231, "params": [[0.5312, 0.0036000000000000003, -0.003, 0.0015, -0.1971, -0.0082, -0.004, 0.003], [0.7783, -0.0035, -0.0021000000000000003, -0.4954, 0.7636000000000001, -0.021500000000000002, 0.0155, 0.7783], [0.001, 0.0017000000000000001, -0.49870000000000003... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(6) @ Z(7)) + -0.25 *... | 9 | 8 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["10010101", "01010110", "01011100", "01010101", "11010010", "10110001", "10010011"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-pi) q[1];
ry(-0.02207247324767403) q[1];
ry(-0.09479312576193777) q[2];
rz(-pi) q[2];
h q[3];
ry(1.395276835769105) q[3];
h q[4];
ry(-0.5103294243504136) q[4];
cx q[0], q[4];
ry(0.5103294243504136) q[4];
cx q[0], q[4];
ry(1.026085762953225) q[0];
cx q[3], 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": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IZZIIZII",
"IIZIIIIZ",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"ZZIZIIII",
"ZIIIIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
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,
0.5,
-0.5,
-0.5,
0,
-0.75,
0,
-0.25,
0,
-0.25
] | 0.993507 | [
-1.5802502340938167,
-1.4139438824013864,
1.395276835769105,
1.4131962305407633,
-1.0206588487008272,
0.7634182874026058,
-0.5775692525371725,
0.5253349511012384,
-0.2922583568376143,
-0.14193191029262187,
0.341857662476968,
-0.049776950304580736,
-0.12411863726314537,
0.09245339788391327,... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
a2ddde559fc9aeb004a8b74765861122 | 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}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3815, 3839], "expectation_value": -15.507739690236967, "params": null, "bitstrings": ["000100011000", "000100000000"], "total_optimization_steps": 100, "probabilities": [0.12446729836172477, 0.3724269386930424], "optimization_time": 260.75834250450134} | -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(... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5681) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... | [
"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 |
90caccd5a9bc4a2ae486cd28f2a54684 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [339, 214], "expectation_value": -15.280523614177255, "params": [[-0.0388, -0.0073], [0.0629, 0.0551]], "bitstrings": ["010101100", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006518016537889004, 0.00701553670436055], "optimization_time": 3.2396254539489746} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(8)) + 5.0 * (Z(7) @ Z(8)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 9.5 * Z(0) + 6.0 * Z(1) + 17.5 * Z(2) + 7.0 * Z(4) + 0.5... | 1 | 9 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.0, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 136.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.020582906481402506) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.020582906481402506) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.020582906481402506) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.020582906481402506) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"ZIIIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9.5,
6,
17.5,
7,
0.5,
9.5,
17,
11.5,
-2.5
] | 0.970022 | [
-0.020582906481402506,
1.3349078355280608,
-0.4290584674428706,
-2.533473561690379,
-1.7041236227506031,
1.5211978007099474,
-1.5217753188258623,
-0.7462250508281225,
1.6316773768793364,
0.48049263034224793,
0.04173615621602083,
0.43936730841378935,
-1.0733627665097956,
0.9631690412671038,... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 59 |
c5b30b94cad3afd2b2d3cf8b55cce16a | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [3, 7], "expectation_value": -14.602243673938357, "params": [-0.0032, 0.0, -0.0026000000000000003, 0.0029000000000000002, -0.0024000000000000002, 0.0025, -0.0027, 0.0006000000000000001, -0.0028, 0.4718, 0.8539, 2.7733000000000003, 1.0728, -0.0033, -1.8766, 0.0037, 2.2137000000000002, 0.0016, -0.0081, -0.0005... | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 4 | 8 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11101000", "11111000"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.03992472608385109) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00269159676729528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012002982498467882) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.03992472608385109) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IZIZIIII",
"ZZIIIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
-0.75,
-2.75,
-0.5,
-0.75,
-1.5,
-1.75,
-0.25,
-0.25,
2.25,
-0.25,
-1.75,
-1.25,
-1.5,
-1.25,
-2.25,
-0.25,
-2,
0,
3,
-1.25,
4,
-1.25
] | 0.704523 | [
-0.03992472608385109,
-0.00269159676729528,
0.012002982498467882,
-0.027140045216093485,
0.025484428609887977,
0.1802066675376493,
1.9968684935125172,
-0.20796776869104522,
-1.5713798940041483,
-1.5612242179332285,
-0.06687445425594916,
1.6319185724475551,
1.523682567149112,
-1.28080419968... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 344 |
9ece332e8f59eea04b865e97d9e6d763 | max_flow | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [19459, 19971], "expectation_value": -13.99149114460376, "params": [0.16570000000000001, 0.0002, 3.1602, 0.0067, 0.0024000000000000002, 0.0028, 0.0023, 0.0006000000000000001, 3.1614, 0.0098, 3.1597, 0.0034000000000000002, 1.5969, 0.0023, 1.5331000000000001, 0.0094, 0.002, 0.0063, 0.0023, 0.002900000000000000... | -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(12) @ Z(4)) + -0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(0) @ Z(12)) + -1.0 * (Z(13) @ Z(4))... | 3 | 16 | 1 | {"smallest_eigenvalues": [-14.499999999999797], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.49999999999974, "smallest_bitstrings": ["1011000111111100"], "largest_eigenvalue": 54.666666666666806} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.07312731208045745) q[0];
rz(-0.08777736992517493) q[0];
rx(3.0978734726879162) q[1];
rz(0.04766515723369347) q[1];
rx(0.005912412743647669) q[2];
rz(0.21803358898234082) q[2];
rx(-0.11229467898881246) q[3];
rz(-0.0031504080667552614) q[3];
rx(2.9755133426008453) 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIZIIIIIZIIIII",
"IIIIIIIIIZIZIIII",
"IIIIZIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIZIIII",
"IIIIZIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIZZIIIIII",
"IIIZIIIIIIIZIIII",
"IIIZIIIIIIZIIIII",
"IIIZIIIIIIIIIIIZ",
"IIZIIIIIIIIZIIII",
"IIZIIII... | [
-0.5,
1,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-1,
-1,
2,
1,
1,
0.8333333333333334,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
0.5,
-1,
-1,
-2,
-2,
1,
1,
-0.5,
-0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.... | 0.970243 | [
0.07312731208045745,
-0.08876781587754644,
3.0978734726879162,
0.03485766665255867,
0.00591241274364767,
0.12133260299291658,
-0.1122946789888125,
0.0066519354153288975,
2.9755133426008453,
0.07891070142990152,
3.248903092149418,
-0.13712299428226482,
2.1347123701496904,
1.1379942594290808... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -14.499999999999797,
"target_ratio": 0.97,
"target_value": -14.064999999999802
} | 16 |
6b53821520b8398adfcfa3df8cd3d53d | 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": [342, 406], "expectation_value": -83.0285346650759, "params": [0.0026000000000000003, 0.0026000000000000003, 1.5833000000000002, 1.5536, 0.999, 0.5856, 0.7654000000000001, 2.2168, 0.0048000000000000004, 0.0019, 1.2827, 1.8543, 0.129, -0.0717, 1.5474, 1.5889, 1.5432000000000001, 1.5944, 0.0076, -0.0128, -0.00... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(9)) + -5.5 * Z(0) + 7.5 * Z(1) + -1.0 * Z(2) + 3.0 * Z(3) + -2.5 * Z(4) + 4.5 * Z(6) + 7.5 * Z(5) + 17.0 * Z(7) + 2.5 * Z(9) + 8... | 14 | 10 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["1001101001"], "largest_eigenvalue": 105.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.03547402456084973) q[0];
rz(pi/2) q[0];
ry(1.5698462835931661) q[1];
ry(1.339361126482633) q[2];
ry(0.5544437791679782) q[3];
ry(-0.001548069623848236) q[4];
ry(1.504602335933063) q[5];
ry(0.1621100472582477) q[6];
ry(1.5478148930020814) q[7];
ry(1.592058221940058... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
-5.5,
7.5,
-1,
3,
-2.5,
4.5,
7.5,
17,
2.5,
8
] | 0.974676 | [
0.03547402456084973,
1.5698462835931661,
1.339361126482633,
0.5544437791679782,
-0.001548069623848236,
1.504602335933063,
0.1621100472582477,
1.5478148930020814,
1.592058221940058,
-0.026314933621532442,
-0.0674027756608136,
-0.07332876575515118,
0.06303838529083859,
2.0026761227727268,
... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 6 |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [431, 427], "expectation_value": -3.8430387534002453, "params": [0.8902, 0.1213, 0.9503, 0.1636, 0.46190000000000003, 0.3159, 0.9451, 0.202, 0.43570000000000003, 0.32630000000000003, 0.9424, 0.0714, 0.4797, 0.3321, 0.9294, 0.22460000000000002, 0.9308000000000001, 0.0442, 0.8785000000000001, 0.097300000000000... | 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) ... | 18 | 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(... | 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": 1}], "edges": []}} | {"circuits": [], "gradients": []} | [
"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 |
c835fa1e3e69cb531a622e34cffeb2bc | 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": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [216, 218], "expectation_value": -48.25420584016924, "params": null, "bitstrings": ["100100111", "100100101"], "total_optimization_steps": 100, "probabilities": [0.051285973196568635, 0.25117832528127026], "optimization_time": 178.29419589042664} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 180.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.012688580307125708) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.012688580307125708) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.012688580307125708) q[1];
cx q[0], q[1];
rz(1.5707728208002596) q[0];
rx(1.5719309045425545) q[0];
h q[3... | 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(23.9941) 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] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
3.5,
19,
18.5,
4.5,
18.5,
3,
23.5,
11
] | 0.951132 | [
0.012688580307125708,
-1.5707841880784301,
1.5707728208002592,
-1.5707826865525911,
-1.5708294960872318,
1.5707747758463055,
-1.5707792663486049,
1.5707593339003678,
1.5719309045425545
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -91.5,
"target_ratio": 0.97,
"target_value": -88.755
} | 231 |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 15.098943710327148} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.04755975372679777) q[0];
rz(-pi) q[1];
ry(-0.16357168903548214) q[1];
rz(-pi) q[2];
ry(-0.16357168903548214) q[2];
h q[3];
ry(-1.6848675864644589) q[3];
ry(-0.05392656744408793) q[4];
rz(-pi) q[4];
ry(-0.08761228669430021) q[5];
rz(-pi) q[5];
h q[6];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIIZ",
"IZIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
2.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
2
] | 0.995678 | [
1.5124481082497874,
-1.6848675864644589,
-1.7984235144880873,
-1.5128877401597436,
-1.43889529306715,
-0.15594893256731784,
0.05940740011829414,
0.13302301188552904,
0.12811099731541742
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
fd56f218638d977dedda8f316e8ac831 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 7},... | {"states": [2047, 1023], "expectation_value": -0.007074573099148884, "params": [[0.0078000000000000005], [-0.0035]], "bitstrings": ["00000000000", "10000000000"], "total_optimization_steps": 10, "probabilities": [0.0004900441878813702, 0.0004900986147201472], "optimization_time": 2.740828275680542} | -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.1712124758212044) q[0];
ry(0.07709699271188594) q[1];
ry(-0.08115682832855912) q[2];
ry(0.21652098539671552) q[3];
ry(-0.07390214079553001) q[4];
ry(-0.08115682832855912) q[5];
ry(0.1356953529998539) q[6];
ry(-0.012514060057308485) q[7];
ry(0.04061111232452781) 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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZI",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIII... | [
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973119 | [
0.1712124758212044,
0.07709699271188594,
-0.08115682832855912,
0.21652098539671552,
-0.07390214079553001,
0.1356953529998539,
-0.012514060057308485,
0.04061111232452781,
-0.03538179981671742,
-0.05964469596241618,
3.279802340973296,
0.05305086017734765,
-0.0888358277130858,
-0.203042006242... | {
"n_parameters": 17,
"n_qubits": 11,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 22 |
fa5ac40f7633e062ace3acdae8758a5b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [8, 936], "expectation_value": -15.06765708906808, "params": [[[0.0142, -0.003, 0.0076, 0.0025], [-0.0038, 0.4854, 0.0028, 0.7654000000000001], [-0.0017000000000000001, 2.4243, 0.0048000000000000004, -0.1512], [0.0002, -0.24550000000000002, 0.5601, -0.0059], [0.0016, 2.0999000000000003, -0.0076, -1.5646], [1... | -0.75 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(2) @ Z(6)) + 2.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(10)) + -1.25 * (Z(4) @ Z(9)) + -1.0 * (Z(4)... | 11 | 11 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -15.0, "smallest_bitstrings": ["10011010111", "10011010101", "10001010111", "10001010101"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.12459999847776491) q[0];
rz(0.08664866486789861) q[0];
ry(0.2483065671451601) q[1];
rz(0.7339868136494383) q[1];
cx q[1], q[0];
ry(-0.016845019714259682) q[0];
rz(1.2321029613106638) q[0];
ry(-0.024672683947620094) q[1];
rz(0.3782224834942546) q[1];
ry(-0.03426066... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"ZIIIIIIIIIZ",
"IZIIIIIIIZI",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"ZIIIIIZIIII",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"ZIIZIIIIIII",
"IIIZIIIII... | [
-0.75,
-0.25,
-0.25,
-1,
-0.5,
-0.25,
2.25,
-1,
-0.5,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-1,
-1,
-1,
-0.75,
-1,
-0.75,
-0.25,
0.5,
-2,
0.75,
-0.25,
0,
2,
-3.75,
1,
2.75
] | 0.973883 | [
0.12459999847776491,
0.08664866486789861,
0.2483065671451601,
0.7339868136494383,
-0.03426066711475769,
2.6612039985710574,
0.0445064479186902,
-0.3226637269882751,
0.21850479158559288,
1.078593869455186,
2.5545128214522794,
-0.634362650649622,
0.06972862455409962,
2.263952469277082,
-1.... | {
"n_parameters": 71,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 63 |
eb5d144c257f6bd1ff4f361fbd203471 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [2580, 2612], "expectation_value": -112.94354858994008, "params": [[0.7894, -0.032600000000000004, 0.7917000000000001, -0.003, 0.006200000000000001, 0.17420000000000002, 0.3279, 0.7693, -0.011300000000000001, 0.7906000000000001, -0.12150000000000001, 0.0026000000000000003], [0.7916000000000001, -0.004, 0.788... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(4) @ Z(9)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(6)) + 4.0 * Z(1) + 13.5 * Z(0) + 16.5 * Z(2) + -7.5 * Z(3) + 1.5 * Z(5) + 9.5 * Z(... | 10 | 12 | 3 | {"smallest_eigenvalues": [-146.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.0, "smallest_bitstrings": ["010111001011"], "largest_eigenvalue": 133.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.8329062507173893) q[0];
ry(0.15763322689377737) q[1];
ry(0.8590826073801404) q[2];
ry(0.03295573273865037) q[3];
ry(-0.0005481318123159544) q[4];
ry(-0.2386617821677653) q[5];
ry(0.5314337596082885) q[6];
ry(0.6972388229476745) q[7];
ry(-0.13390383132655964) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIZZIIIII",
"IIIIZIZIIIII",
"IIIZIIIIIIIZ",
"IIIZZIIIIIII",
"IIZIIIIZIIII",
"IZZIIIIIIIII",
"ZIIIIZIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIZIIIIII",
"IIIIZIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
4,
13.5,
16.5,
-7.5,
1.5,
9.5,
10,
1.5,
10,
-5,
-3.5,
-5.5
] | 0.975163 | [
0.8329062507173893,
0.15763322689377737,
0.8590826073801404,
0.03295573273865037,
-0.0005481318123159544,
-0.2386617821677653,
0.5314337596082885,
0.6972388229476745,
-0.13390383132655964,
0.372954536082237,
-0.05014216215656936,
0.06677112457747497,
0.9496709573789438,
-0.2145366186774290... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -146,
"target_ratio": 0.97,
"target_value": -141.62
} | 23 |
-4433607553057455287 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 1, 3], [4, 5], [1, 4], [1, 3, 5, 6], [0, 5], [2, 3, 6]]} | {"states": [120, 58], "expectation_value": -2.608081313044967, "params": null, "bitstrings": ["0000111", "1000101"], "total_optimization_steps": 49, "probabilities": [0.02108231070509464, 0.8320376124312621], "optimization_time": 61.8834547996521} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333335, "smallest_bitstrings": ["1000101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7677506539364164) q[0];
h q[1];
ry(0.7158424333791393) q[1];
h q[2];
ry(0.5067645906855349) q[2];
h q[3];
ry(1.6001054760817317) q[3];
h q[4];
ry(-0.2502876193282566) q[4];
h q[5];
cx q[5], q[4];
ry(0.2502876193282566) q[4];
cx q[5], q[4];
ry(-0.4918601113... | 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(1.4074) 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", "... | [
"IIZIZII",
"IIZIIZI",
"IIIIIZZ",
"IIIZZII",
"IIIZIZI",
"IIIZIIZ",
"IZZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIZIII",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIZIIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0,
0.16666666666666663,
0.29166666666666663,
0.16666666666666663,
0.458333333333... | 0.97141 | [
1.6001054760817317,
-0.5005752386565132,
1.530699527025585,
-1.5355013078728328,
1.4316848667582787,
-0.9837202227769366,
1.0135291813710698,
0.13786182073758513,
-0.9876934620407424,
-0.142854057176017,
-0.2614438047986844,
0.27280351929431185,
-0.25395238908479534,
0.4450119317509572,
... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -2.916666666666666,
"target_ratio": 0.97,
"target_value": -2.829166666666666
} | 15 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 52], "expectation_value": -2.9965155422382117, "params": null, "bitstrings": ["101010", "001011"], "total_optimization_steps": 20, "probabilities": [0.06700896507806574, 0.929746058313105], "optimization_time": 12.448770761489868} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[5];
... | 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[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 \"stdga... | [
"IZIIIZ",
"ZIIIIZ",
"IZIZII",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
0
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | 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": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [235, 255], "expectation_value": -22.408249239262943, "params": null, "bitstrings": ["1100010100", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.04964522535713507, 0.8088762612629546], "optimization_time": 226.08869338035583} | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 55.166666666666664} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1813424485071628) q[0];
cx q[1], q[0];
rz(-0.12463552154992241) q[0];
rx(-1.2421529423468263) q[0];
rz(-0.2544248103281359) q[1];
rx(-1.2421529423468265) q[1];
cx q[1], q[0];
rz(-3.2205034676259676) q[0];
cx q[1], q[0];
rz(1.4810378... | null | {"source": 0, "sink": 5} | {"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];\nry(18.1362) 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... | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZIIIZII",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZZ",
"IIIIIZIIII",
"IIIIIIIZII"... | [
0.5,
1,
2,
0.5,
1,
1,
2,
2,
-0.5,
-1,
-0.5,
-1,
0.5,
1,
0.5,
1,
0.5,
-0.3333333333333333,
2,
4.5,
9,
5,
10,
-2,
2.5,
2.5,
-1,
-0.5
] | 0.950569 | [
0.06583836217984403,
0.02424617956702617,
0.02628092965861942,
-0.12463552154992238,
-0.25442481032813585,
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1.6448560843536073,
1.9812957884316302,
1.6043223553640227,
2.003992131822368,
1.9286176302370583,
1.298515420062773,
-1.2421529423468265,
-0.6759533731163639,
... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -24.833333333333336,
"target_ratio": 0.97,
"target_value": -24.088333333333335
} | 500 |
5600790007c11249686a62a895eec735 | 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": [1482, 1418], "expectation_value": -90.74225009065427, "params": [0.1945, 0.1961, 0.598, 0.1063, 0.34090000000000004, 0.2076, 0.5991000000000001, 0.0117, 0.6016, 0.065, 0.3713, 0.1399, 0.0011, 0.37470000000000003, 0.2036, 0.2283, 0.605, 0.0126, 0.2454, 0.20700000000000002, 0.6023000000000001, 0.0065000000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(8)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(9)) + 3.0 * Z(2) + 8.0 * Z(1) + 14.0 * Z(3) + 4.0 * Z(5) + ... | 18 | 12 | 4 | {"smallest_eigenvalues": [-142.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["101001110101"], "largest_eigenvalue": 190.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.12406269305139217) q[0];
rz(0.4510928399589975) q[0];
rx(0.6994673026295908) q[1];
rz(0.1020675392104003) q[1];
rx(0.06682650382306754) q[2];
rz(0.015705121536675776) q[2];
rx(0.9639254455682243) q[3];
rz(0.031130364054405214) q[3];
rx(0.5910788031956563) 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... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIZIZIII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIIZIIIIIIIZ",
"IIZIIIIIIIZI",
"IZIZIIIIIIII",
"IZIIIIIIIIIZ",
"IZZIIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIZIII",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"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,
3,
8,
14,
4,
16.5,
0.5,
13.5,
0.5,
1,
16.5,
-12,
-11
] | 0.976152 | [
-0.1240626930513922,
0.3417734810901276,
0.6994673026295908,
0.1020675392104003,
0.06682650382306754,
0.015705121536675776,
0.9639254455682243,
0.031130364054405214,
0.5910788031956563,
-0.3482924555096867,
0.29580836180932296,
0.13163272598811276,
-0.09519466028919757,
-0.0074652056724849... | {
"n_parameters": 134,
"n_qubits": 12,
"optimal_eigenvalue": -142.5,
"target_ratio": 0.97,
"target_value": -138.225
} | 18 |
-7333735790520678795 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [0, 1, 2, 4], [0, 1, 3]]} | {"states": [30, 14], "expectation_value": -0.4953329273780308, "params": [[[1.5354, 0.0013000000000000002], [2.6046, 0.0036000000000000003], [2.6387, 0.0044], [2.6666000000000003, 0.001], [1.5182, 0.0016]]], "bitstrings": ["00001", "10001"], "total_optimization_steps": 270, "probabilities": [0.20909320318583696, 0.2244... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333334, -0.8333333333333334, -0.8333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.8333333333333333, "smallest_bitstrings": ["10001", "01100", "01001"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(0.5571606446701035) q[0];
rz(0.913469341156564) q[0];
rx(3.150365670815195) q[1];
rz(-1.0973025329326103) q[1];
rx(3.185614512471872) q[2];
rz(0.7418489491607383) q[2];
rx(3.135138385360903) q[3];
rz(0.3190742028707837) q[3];
rx(-0.24754132733389023) q[4];
rz(-0.1113... | 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[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IZZII",
"ZZIII",
"ZIZII",
"IZIIZ",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"IIZZI",
"ZIIZI",
"IIIZZ",
"IZIII",
"IIZII",
"ZIIII",
"IIIIZ",
"IIIZI"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663
] | 0.971845 | [
0.5571606446701035,
0.913469341156564,
3.150365670815195,
-1.0973025329326103,
3.185614512471872,
0.7418489491607383,
3.135138385360903,
0.3190742028707837,
-0.24754132733389023,
-0.11136453892163678
] | {
"n_parameters": 10,
"n_qubits": 5,
"optimal_eigenvalue": -0.8333333333333334,
"target_ratio": 0.97,
"target_value": -0.8083333333333333
} | 17 |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [991, 989], "expectation_value": -6.752854989264593, "params": [0.1472, -0.5414, 0.0171, -0.6448, 0.8089000000000001, 0.0985, 0.9079, 0.11620000000000001, 0.7169, 0.131, 0.9736, 0.1709, 0.8201, 0.0629, 0.9708, 0.2489, 0.7559, 0.0838, 0.8882, 0.1034, 0.1384, -0.5888, 0.0046, -0.5892000000000001, 1.12190000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00100101000", "00110101000", "10000100010", "10000100011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | 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] x11;
input float[64] x12;
inp... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIZIIII",
"IIZIIIIIIZI",
"IIZIIIIIIIZ",
"IIZIIIIIZII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.25,
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1.5,
1.25,
1.5,
1,
1,
1,
1.25,
1.5,
1.5,
0.25,
0.25
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"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}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [8, 3], "expectation_value": -0.5721091343249559, "params": [[-0.0577, -0.06770000000000001, -0.045000000000000005, -0.024300000000000002], [0.0575, 0.0753, 0.067, 0.056900000000000006]], "bitstrings": ["0111", "1100"], "total_optimization_steps": 10, "probabilities": [0.08095685421235105, 0.0969342689687558... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 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 |
5bfd79024282ae69c62758a244a2de56 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [10, 5], "expectation_value": -0.4063325816779754, "params": [[0.075, 0.0718, 0.0611], [-0.08370000000000001, -0.0816, -0.0683]], "bitstrings": ["110101", "111010"], "total_optimization_steps": 10, "probabilities": [0.022775956019062297, 0.023704762402749907], "optimization_time": 7.159773111343384} | 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)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.25,
-0.5,
-0.25
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
cf63e2458a0741acd2ef8c128602eb3a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1786, 762], "expectation_value": -3.0306905815507856, "params": [0.4827, 0.3365, 0.8997, 0.09290000000000001, 0.202, 0.402, 0.896, 0.15130000000000002, 0.6824, 0.21780000000000002, 0.8961, 0.125, 0.8972, 0.0198, 0.9014000000000001, -0.0007, -0.002, 0.6685, 0.8979, 0.0103, 0.0838, -0.38730000000000003, 0.480... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 3 | 11 | 3 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.8125, "smallest_bitstrings": ["00100100101", "00101000101", "00100010101", "00100010110", "10001000101", "00110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.3269969770889281) q[0];
rz(-0.5504036056506698) q[0];
rx(0.35954196878096667) q[1];
rz(-0.012404751640308812) q[1];
cx q[1], q[0];
rz(0.228453187285069) q[0];
cx q[1], q[0];
rz(1.5964531905415136) q[0];
ry(0.9908209005626359) q[0];
rz(-1.7445090548379003) q[0];
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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIZIIZIIZ",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.1... | 0.972321 | [
0.3269969770889281,
-0.3219504183656007,
0.35954196878096667,
-0.012404751640308812,
0.23307960273110617,
-0.08636312566796234,
0.42336248146771394,
0.3708386300171518,
0.1622252850494044,
-0.21764395063298858,
0.219072816073935,
0.017256355300506152,
0.01842232375394045,
0.122346478424125... | {
"n_parameters": 187,
"n_qubits": 11,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 33 |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -70.4372936905027, "params": [0.7753, -0.3784, 1.5855000000000001, 0.0029000000000000002, 1.5801, 0.0036000000000000003, 1.5803, -0.0027, 1.5824, 0.16870000000000002, 0.5920000000000001, 0.5372, 1.5837, 0.3073, 0.07350000000000001, 0.6885, 0.775, 0.007, 1.586, 0.0027, 1.58350... | 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(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 163.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.21069830025586003) q[0];
rz(-0.44314380018304966) q[0];
rx(0.6758685682189609) q[1];
rz(-0.07231239329845751) q[1];
rx(0.5304567662709817) q[2];
rz(0.0524343513804677) q[2];
rx(-0.2764618131261993) q[3];
rz(0.21560061027038913) q[3];
rx(0.6842987872754291) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
21,
11.5,
7,
19.5,
17.5,
7,
19.5,
0.5
] | 0.970268 | [
-0.21069830025586003,
-0.2661478952017108,
0.6758685682189609,
-0.11332069058319576,
0.5304567662709817,
0.04323630987877809,
-0.27646181312619933,
0.1941591628277346,
0.684298787275429,
-0.08672849227055314,
0.5560224463447703,
0.3101181280349571,
0.13765148430319257,
0.27958925789989647,... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 9 |
cf6781246fc66f87fa6a567e8619e23b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -6.208371982375844, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 25, "probabilities": [0.2576764967213142, 0.5730478938816137], "optimization_time": 22.512630939483643} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1101110", "1111110"], "largest_eigenvalue": 5.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.33675991249539916) q[0];
h q[1];
ry(-0.8515395949228223) q[1];
h q[2];
h q[3];
ry(-1.5428256682959467) q[3];
rz(-pi) q[4];
ry(-0.10231168646078781) q[4];
ry(-0.054796923753035846) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[0];
ry(0.33675991249539916) q[0];
cx ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIIZI",
"IZZIIII",
"IZIIZII",
"IIZIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.25,
1.25,
-0.25,
-0.25,
-1,
-0.25,
0.25,
-0.25,
-1.25,
0.5,
0.25,
0.75,
-0.25
] | 0.978102 | [
-1.5428256682959467,
-0.6735198249907983,
1.5130573834326533,
-0.9935783652960206,
-1.7030791898456445,
-1.6641177806211036,
0.02746594902502659,
-0.2747638951084399,
0.6952452953339312,
-0.36325278036379793,
-0.35971473705457196,
0.17518969526177117,
-0.197380008249672,
-0.085975751722793... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 13 |
1f5d7944e50ebc48c654989c65672b6f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -1.9191847896505996, "params": [[0.0724, 0.07, 0.0523, 0.0736], [-0.0782, -0.07740000000000001, -0.0489, -0.0582]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.014152233074548281, 0.01833854817015092], "optimization_time": 6.567384... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.09738613442502557) q[0];
rz(0.435952912591826) q[0];
rx(-0.047169160464950136) q[1];
rz(-0.90779886270394) q[1];
rx(-0.13931343964056148) q[2];
rz(0.2905097873613709) q[2];
rx(-0.03624817296492008) q[3];
rz(-0.01949650125297886) q[3];
rx(0.07846903487514233) 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.5,
-0.75,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-0.75,
-0.75,
1.25,
-0.25,
-0.75,
1,
-1.25,
0.25,
0.5,
-0.75
] | 0.971658 | [
0.0973861344250256,
0.16265904465971007,
-0.047169160464950136,
-0.7941578805206778,
-0.13931343964056148,
0.37706575029109946,
-0.03624817296492008,
-0.1970044103307955,
0.07846903487514233,
-0.11358981143886039,
0.012705731843903292,
-0.4464676850645991,
0.8094954770296601,
1.55968326296... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -8.25,
"target_ratio": 0.97,
"target_value": -8.0025
} | 10 |
5806915615886079839 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 10, 4], [5, 6], [9, 2, 7], [0, 9, 3], [0, 10], [9, 4], [8, 5], [0, 9, 7], [1, 10, 5], [3, 6], [9, 5, 7], [8, 9, 6], [1, 2], [3, 4, 7], [9, 3, 7], [8, 9, 7], [1, 3, 5], [2, 4, 7], [10, 6]]} | {"states": [471, 469], "expectation_value": -4.727571135604211, "params": [0.5618000000000001, 0.4486, 0.5425, 0.0044, 0.5675, -0.4884, 0.5568000000000001, 0.0055000000000000005, 1.3957000000000002, 0.0213, 1.3918000000000001, 0.0053, 1.3343, 0.0945, 1.254, 0.0041, 1.3961000000000001, 0.1255, 1.3915, 0.0006000000000000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(5)) + 0.1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-5.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5000000000000036, "smallest_bitstrings": ["11000101010"], "largest_eigenvalue": 15.499999999999995} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.10324428645338142) q[0];
rz(1.2545055074996458) q[0];
rx(0.10072081377559522) q[1];
rz(-0.7464515185744758) q[1];
rx(1.7513119918496516) q[2];
rz(-0.03235013162020195) q[2];
rx(1.4230387225574965) q[3];
rz(0.39383953663592264) q[3];
rx(1.575273076072908) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZII",
"IIIIIZIIZII",
"IZIIIZIIIII",
"IIIIZIIIZII",
"IZIIZIIIIII",
"IIIZIIIIZII",
"IZIZIIIIIII",
"IIIZZIIIIII",
"ZZIIIIIIIII",
"ZIIIIZIIIII",
"ZIIIZIIIIII",
"ZIIZIIIIIII",
"IIIIIZIZIII",
"ZIIIIIIZIII",
"IZZIIIIIIII",
"IIZIIZIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.166666666666... | 0.973861 | [
-0.1032442864533814,
0.9865396655494593,
0.10072081377559522,
-0.38999815691801615,
1.7513119918496516,
-0.06887721927817433,
1.4230387225574965,
0.4148516137646585,
1.5752730760729077,
-0.101661988721964,
0.22445316697922757,
-0.536403224487598,
1.5938036288626227,
0.17693980723455724,
... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -5.833333333333334,
"target_ratio": 0.97,
"target_value": -5.658333333333334
} | 61 |
4d44127075c03392d0078723b3cb3352 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 7}, {"capacity": 1, "source": 1, "target": 8}, {"capac... | {"states": [1, 3], "expectation_value": -16.932775649810953, "params": [-0.0984, 0.007500000000000001, -0.0878, 0.0179, -0.0037, 0.2288, 0.0007, 0.2242, 0.0012000000000000001, 0.2321, 0.0014, 0.2381, -0.0058000000000000005, 0.19010000000000002, 0.002, 0.23620000000000002, -0.0022, 0.1948, 0.0016, 0.23370000000000002, 0... | -1.25 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + -1.75 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(5)) + -1.25 * (Z(4)... | 6 | 10 | 4 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111001100", "1111111100", "1111101100"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.18238332162785192) q[0];
rz(1.6128537245662358) q[0];
rx(-0.022411424147757517) q[1];
rz(1.7429667035819332) q[1];
rx(-0.00935839283080743) q[2];
rz(1.7729278555175068) q[2];
rx(0.09436086235018315) q[3];
rz(1.6571607565149122) q[3];
rx(-0.4355534421318405) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZIIIZII",
"IIIIZIIZII",
"IIZIIIZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIZIIIIIII"... | [
-1.25,
-0.5,
-1.75,
-1.25,
-0.5,
-0.75,
-1.25,
-0.75,
-1,
-0.5,
-0.75,
-1.25,
-1,
-1.25,
1.5,
-1,
-1.5,
-0.25,
-2,
0,
4,
4,
-1.25,
-2.25,
-1.25,
0.5
] | 0.972864 | [
-0.18238332162785195,
0.04205739777133943,
-0.02241142414775752,
0.17217037678703623,
-0.00935839283080743,
0.20213152872261023,
0.09436086235018315,
0.08636442972001604,
-0.43555344213184044,
-0.06390481792180394,
-0.2622211833798091,
0.7015207312376244,
0.16286715511547734,
0.20718293757... | {
"n_parameters": 163,
"n_qubits": 10,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 106 |
3846759191086385968 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 7], [8, 9, 11, 5], [1, 11], [0, 1, 2, 3], [0, 8, 11], [9, 2, 3], [0, 8, 3, 6], [0, 4, 7, 8, 9], [0, 11, 6], [4, 5], [1, 6], [0, 6, 7], [9, 10, 11], [2, 11, 5, 7], [9, 10, 4], [3, 4, 6], [8, 2, 11], [1, 2, 9], [8, 9, 5, 6], [5, 6, 7, 9, 10], [8, 1, 4, ... | {"states": [3750, 3751], "expectation_value": -6.841803494255774, "params": [[[3.1444, 0.7762, 0.008700000000000001, 0.0023], [-0.002, -0.7762, -0.0017000000000000001, 0.0073], [1.5678, 0.002, 1.5723, 0.004], [1.6760000000000002, -0.0022, 1.4609, 0.0048000000000000004], [1.5684, 0.0023, 1.5732000000000002, 0.0027], [2.... | 0.5 * (Z(5) @ Z(9)) + 0.26666666666666666 * (Z(10) @ Z(9)) + 0.25 * (Z(10) @ Z(5)) + 0.18333333333333335 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(5)) + 0.35 * (Z(11) @ Z(10)) + 0.08333333333333333 * (Z(3) @ Z(9)) + 0.4666666666666666 * (Z(3) @ Z(10)) + 0.25 * (Z(3) @ Z(11)) + 0.18333333333333335 * (Z(7) @ Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-7.35], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.000000000000002, "smallest_bitstrings": ["000101011000"], "largest_eigenvalue": 28.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.0938724286377894) q[0];
rz(0.9584439830557495) q[0];
ry(-0.05774778127945401) q[1];
rz(-0.6389823479258315) q[1];
cx q[1], q[0];
ry(0.09582003753351614) q[1];
rz(0.23852623261294137) q[1];
ry(1.6162903773416337) q[2];
rz(0.04425118447253916) q[2];
ry(1.67636717395... | 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": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"ZIZIIIIIIIII",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"IIZIIIIIZIII",
"IZIIIIIIZIII",
"ZIIIIIIIZIII",
"IIZIZIIIIIII",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIIZIII",
"IIZIIIIIIIZI",
"IIIIIIZIIIZI",
"IZIIIIIIIIZI",
"ZIIIIIIII... | [
0.5,
0.26666666666666666,
0.25,
0.18333333333333335,
0.16666666666666666,
0.35,
0.08333333333333333,
0.4666666666666666,
0.25,
0.18333333333333335,
0.16666666666666666,
0.31666666666666665,
0.26666666666666666,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.16666666... | 0.970807 | [
3.0938724286377894,
0.9584439830557495,
-0.05774778127945401,
-0.6389823479258315,
1.6162903773416337,
0.04425118447253916,
1.6763671739508699,
0.04791463458752518,
1.5995866479887584,
0.10701806561156466,
2.2516580320787805,
-0.14115636205099633,
1.5135954530490663,
-0.0056393250947594925... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -7.35,
"target_ratio": 0.97,
"target_value": -7.129499999999999
} | 20 |
0d24f2a57ba9d46e171f583242ee56f4 | 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": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.016311761438365265, "params": [[-0.0646], [0.0639]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 10, "probabilities": [1.629479488434375e-05, 1.6294794884343768e-05], "optimization_time": 14.686229228973389} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029296875000000004 * (Z(4) @ Z(0)) + -0.0013671875000000001 * (Z(4) @ Z(2)) + 0.00029296875000000004 * (Z(5) @ Z(1)) + -0.0013671875000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00126953125 * (Z(6) ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0220703124999595], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022070312499938, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0169921874999917} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.7274446182096648) q[0];
h q[1];
cx q[1], q[0];
ry(0.7274446182096648) q[0];
cx q[1], q[0];
ry(-0.23504074243707263) q[1];
cx q[0], q[1];
ry(0.23504074243707263) q[1];
cx q[0], q[1];
ry(-0.08159162338783676) q[0];
ry(0.4905191133466839) q[1];
h q[2];
ry(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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... | {"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,
-0.0009765625,
-0.0009765625,
0.25,
0.00029296875000000004,
-0.0013671875000000001,
0.00029296875000000004,
-0.0013671875000000001,
0.25,
-0.00126953125,
0.0001953125,
0.00009765625,
-0.00126953125,
0.0001953125,
0.00009765625,
0.25,
-0.0006835937500000001,
0.0005859375000000... | 0.970539 | [
-1.4548892364193295,
-0.6125067657806321,
-0.9326847922307643,
-0.5690280434173688,
-1.3720605191875264,
-1.1527215257784185,
-1.185823726045559,
1.051868247802195,
-0.47008148487414525,
0.4905191133466839,
-0.09263640170028266,
0.9344690419445776,
0.12108277933887102,
0.6776201643750652,
... | {
"n_parameters": 95,
"n_qubits": 16,
"optimal_eigenvalue": -2.02207031249997,
"target_ratio": 0.97,
"target_value": -1.961408203124971
} | 104 |
11cd2beb66d9af0f1795a09b2dc12b1f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [200, 216], "expectation_value": -5.488344562589885, "params": [0.3025, 0.0012000000000000001, 0.3, 0.0014, 0.3012, 0.0009000000000000001, 0.29910000000000003, 0.0029000000000000002, 0.0585, -0.037000000000000005, 0.0431, -0.0279, 0.3017, -0.0001, 0.3105, 0.0019, 0.3043, 0.0007, 0.3038, 0.0009000000000000001... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 *... | 6 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00100111"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.1036831190192232) q[0];
rz(1.7120751903319196) q[0];
rx(0.38190515662114594) q[1];
rz(1.2401756656480112) q[1];
rx(-0.18637683819515832) q[2];
rz(2.082771408989675) q[2];
rx(-0.06912335835312089) q[3];
rz(1.6648972010767498) q[3];
rx(-0.06472601200225857) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"ZIIIIZII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIZZII",
"IZIIZIII",
"IIZIZIII",
"ZIIIZIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIZIIIII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1,
-1,
-1.5,
-1.5,
-1.5,
0
] | 0.970593 | [
-0.10368311901922318,
0.14127886353702176,
0.3819051566211459,
-0.33062066114688526,
-0.18637683819515832,
0.5119750821947779,
-0.06912335835312089,
0.0941008742818534,
-0.06472601200225857,
-0.5743282776309604,
-0.378310297074044,
-0.05445155579476911,
0.018601520025581516,
-0.68508944338... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 106 |
-6828090552461688646 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [0, 1, 4, 5, 7], [2, 7], [1, 4, 5, 6, 7], [0, 1, 2, 3, 4, 5], [3, 4, 7], [0, 1, 5, 6, 7], [1, 2, 3, 4, 6], [1, 2, 3, 5, 6]]} | {"states": [124, 252], "expectation_value": -2.0964850625110114, "params": null, "bitstrings": ["10000011", "00000011"], "total_optimization_steps": 49, "probabilities": [0.32317004705418717, 0.5829424890212864], "optimization_time": 76.74380421638489} | 0.3 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.13333333333333336 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.26666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333334 * (Z(4... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.133333333333334, "smallest_bitstrings": ["00000011"], "largest_eigenvalue": 8.499999999999998} | 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[1];
rz(-0.001701817495515812) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.0027341637266866553) q[7];
cx q[3], q[7];
cx q[1], q[7];
cx q[3], q[0];
rz(-0.05825538800316314) q[0];
cx q[3], q[0];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5486) 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[... | [
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIZIIZ",
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIZZIII",
"IIIZIIZI",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZZII",
"IIIIIZZI",
"ZIIIIZII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IZIIZIII",
"IZIIIIZ... | [
0.3,
0.3333333333333333,
0.31666666666666665,
0.03333333333333333,
0.13333333333333336,
0.1,
0.25,
0.18333333333333335,
0.26666666666666666,
0.08333333333333334,
0.08333333333333334,
0.23333333333333334,
0.15000000000000002,
0.13333333333333336,
0.13333333333333333,
0.13333333333333336... | 0.975053 | [
-0.001701817495515812,
-0.0027341637266866553,
-0.1376975071157312,
-0.05825538800316314,
0.051477025322535286,
-0.033416247719984464,
0.11606269320051088,
0.0693189061539499,
-0.08530157922512575,
0.02717549349127517,
-0.006386122540209711,
0.06894959337917106,
-0.007394743955298549,
-0.3... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -2.166666666666668,
"target_ratio": 0.97,
"target_value": -2.101666666666668
} | 103 |
4551088094349489485 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 5], [2, 5, 6], [0, 3], [4, 6], [1, 7]]} | {"states": [172, 396], "expectation_value": -2.104373487850155, "params": null, "bitstrings": ["101010011", "001110011"], "total_optimization_steps": 64, "probabilities": [0.05475672349545503, 0.7978164913567045], "optimization_time": 100.86509728431702} | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(1)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.833333333333334, "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
ry(-0.31525370189979945) q[2];
h q[3];
ry(-0.46958268673186604) q[3];
cx q[0], q[3];
ry(0.46958268673186604) q[3];
cx q[0], q[3];
ry(0.9068597907647183) q[0];
ry(-0.5991314387331128) q[3];
h q[4];
ry(-0.46958268673186604) q[4];
h q[5];
ry(1.38387... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2292) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"ZIIIIIIZI",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZIIZII",
"IIZZIIIII",
"IIZIIIZII",
"IIIIIZIIZ",
"IIZIZIIII",
"IZIIIIIZI",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666663,
0,
0,
0,
0
] | 0.971734 | [
1.3838719063246991,
-0.9391653734637321,
0.7581363965856922,
0.6195920694026291,
-0.573644055235248,
0.4208800235395571,
-0.45282507044507675,
0.5745354427241784,
-0.292612736576072,
-0.3194130980279768,
-0.6305074037995989,
0.28791779872125156,
0.214521342215946,
0.2909517565380996,
-0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -2.1666666666666665,
"target_ratio": 0.97,
"target_value": -2.1016666666666666
} | 3 |
ac718ec702dad3d5aab1392624435c47 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [5, 511], "expectation_value": -0.45253271249773047, "params": [[0.0815], [-0.0881]], "bitstrings": ["1111111010", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0014183106269350337, 0.001427760779194988], "optimization_time": 2.825732469558716} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + 1.0 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(7) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["1000000000", "1101111010", "1111111010", "1000001000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.08480437176901356) q[0];
rz(1.1013018470707845) q[0];
rx(0.019320959602861294) q[1];
rz(2.763651183836153) q[1];
rx(-0.7052544024708216) q[2];
rz(0.86887178691752) q[2];
rx(0.050458857297039736) q[3];
rz(1.2919533592950634) q[3];
rx(0.045185345056934986) q[4];
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;
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[1], q[0];
rz(... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIIZIIIZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IIIIZIZIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"IZIIIZIIII",
"IIIIZZIIII",
"IIZIZIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIIIZII"... | [
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.75,
1,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
1,
-0.25,
-0.25,
-1.75,
1,
0,
0.25,
0,
-0.25,
0.25
] | 0.970118 | [
0.08480437176901355,
-0.46949447972411207,
0.019320959602861294,
1.1928548570412563,
-0.7052544024708217,
-0.7019245398773759,
0.050458857297039736,
-0.278842967499833,
0.045185345056934986,
1.1729247464213368,
-0.008472686944745532,
0.9853534201087883,
0.029928362242143187,
0.629952961561... | {
"n_parameters": 88,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 65 |
-6303618358277399494 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3], [0, 1], [2, 4], [3, 5]]} | {"states": [35, 41], "expectation_value": -0.00815816560184313, "params": [[0.0318], [-0.0322]], "bitstrings": ["011100", "010110"], "total_optimization_steps": 10, "probabilities": [0.0158811149292656, 0.0158811149292656], "optimization_time": 0.3858370780944824} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 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": ["010110", "100011", "011100", "101001"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(1.0471975717759565) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(1.0471975717759565) q[1];
cx q[0], q[1];
rz(-5.534303681997699e-09) q[0];
rx(-pi/4) q[0];
rz(-5.534303681997699e-09) q[1];
rx(-pi/4) q[1];
h q[4];
cx q[4], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[5];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IIIIZZ",
"IZIZII",
"ZIZIII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.649519 | [
1.0471975717759565,
-5.534303978078459e-9,
-0.7853981642288469
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 95 |
840201519441692596 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 7], [0, 6], [2, 6], [4, 6], [2, 4], [5, 7], [2, 5], [5, 6], [4, 7], [1, 3]]} | {"states": [115, 51], "expectation_value": -0.322486304822701, "params": [0.6967, 0.0414, 0.6942, 0.0058000000000000005, 0.6893, 0.08070000000000001, 0.6596000000000001, 0.0077, 0.7066, -0.020200000000000003, 0.7060000000000001, 0.0029000000000000002, 0.7069000000000001, -0.0262, 0.7055, 0.009600000000000001, 0.6953, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11001100", "00110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5922902762429736) 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(-0.5922902762429736) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[4];
rz(-0.5922902762429736) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIZI",
"IZIIIZII",
"IZIIIIIZ",
"IIIZIZII",
"ZIIZIIII",
"IZIZIIII",
"IIZIIZII",
"ZIZIIIII",
"IZZIIIII",
"IIIIZIZI",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII"
] | [
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
] | 0.386615 | [
-0.5922902762429736,
-1.6822568827741427e-8,
0.6906879375464472
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 107 |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [38, 50], "expectation_value": -0.5023187110553321, "params": [[-0.0661, -0.0748], [0.06720000000000001, 0.0724]], "bitstrings": ["011001", "001101"], "total_optimization_steps": 10, "probabilities": [0.021320437379182336, 0.02132043737918235], "optimization_time": 2.4941439628601074} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "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(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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], ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
91fd701868951eab612ba86420778b2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -0.6011771402521335, "params": [[0.07400000000000001, 0.075], [-0.06280000000000001, -0.0734]], "bitstrings": ["110001", "010101"], "total_optimization_steps": 10, "probabilities": [0.02069891851217343, 0.02069891851217343], "optimization_time": 2.779832363128662} | 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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"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 |
c4fd4922d2c165ab37a0955c733d543f | matching | vqe | {"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": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [111, 109], "expectation_value": -62.272277698867015, "params": [0.1655, 0.5302, 1.0490000000000002, -0.0076, 1.0598, 0.1627, 0.1072, 0.6025, 1.0551000000000001, -0.0048000000000000004, 1.1054000000000002, 0.10930000000000001, 0.5077, 0.3385, 1.0644, 0.21300000000000002, 0.165, 0.4874, 1.0618, -0.01100000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
16.5,
3,
18,
12.5,
2.5,
9.5,
12.5,
15
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
800cd4d4c06790d43fc971db5726f854 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [198, 199], "expectation_value": -3.050688271991219, "params": [0.8099000000000001, -0.0025, 0.8062, 0.0063, 0.1724, 0.4707, -0.01, 0.5247, 0.0918, -0.2883, 0.8027000000000001, -0.1042, 0.8107000000000001, 0.0015, 0.7975, 0.0022, 0.8041, 0.0009000000000000001, 0.8053, 0.0047, 0.17070000000000002, 0.008400000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(3) + 0.0 * Z(6) + 0.0 * Z(5) + -0.5 * Z(7) | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00111000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6719660599957016) q[0];
rz(-0.036128299694693666) q[0];
rx(1.667720318676914) q[1];
rz(-0.09990986474275676) q[1];
rx(-0.20048249673610558) q[2];
rz(0.6174125137721322) q[2];
rx(-0.48709530676441637) q[3];
rz(0.6418351248586038) q[3];
rx(0.04321563159172995) 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": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIZIZI",
"IZIIIZII",
"IIZIZIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-0.5,
-1.5,
0,
0,
-0.5
] | 0.970575 | [
1.6719660599957014,
-0.07980598816554196,
1.667720318676914,
0.04288872455493351,
-0.20048249673610558,
0.24604718904068293,
-0.4870953067644164,
0.19122147637948592,
0.043215631591729954,
-0.09276528100856396,
1.5729219884689196,
0.087920134773914,
1.3983919790250958,
0.28803971101005815,... | {
"n_parameters": 43,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 23 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 7], "expectation_value": -0.5260948462666188, "params": [[[1.2681, 0.0077], [1.2951000000000001, 0.0057], [1.5234, 0.006200000000000001], [1.6989, 0.006200000000000001], [1.6894, 0.0068000000000000005], [1.6889, 0.0044]]], "bitstrings": ["110000", "111000"], "total_optimization_steps": 170, "probabiliti... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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) q[0];
rx(x2) q[1];
... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 19], "expectation_value": -2.996515537770063, "params": null, "bitstrings": ["101001", "101100"], "total_optimization_steps": 22, "probabilities": [0.06700898087125177, 0.9297460398076854], "optimization_time": 11.792485475540161} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 50.20123791694641} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.25137557506976543) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(-0.3034559764764657) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.32149893878205565) q[3];
cx q[4], q[3];
rz(0.05900538221320195) q[4];
rx(0.125911296508555... | 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];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IZIIIZ",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
-0.5,
0.75,
-1.5,
-2,
-0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-1.75,
-0.25,
-1.25,
0.25,
1.25,
1.75
] | 0.972404 | [
0.25137557506976543,
-0.30313069804113246,
0.23033659415730043,
-0.3034559764764657,
0.35568709670647886,
0.32149893878205565,
0.05900538221320224,
-0.175513034202568,
-0.3239146546667025,
-0.8972253164971841,
-0.9873010555019224,
0.12591129650855593,
-0.1131226468916046,
0.022047127083097... | {
"n_parameters": 48,
"n_qubits": 6,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 145 |
6ebf37fc1eb45c0339996675a349b6a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [105, 109], "expectation_value": -40.57465206689096, "params": [[[0.4806, 0.2097], [0.6924, 0.2858], [0.6933, 0.3917], [0.28350000000000003, 0.28300000000000003], [0.5825, 0.2614], [0.6718000000000001, 0.2548], [0.339, 0.032], [0.048100000000000004, 0.6923]], [[0.42150000000000004, 0.6757000000000001], [0.69... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 10.0 * Z(1) + 5.0 * Z(0) + 13.5 * Z(2) + 8.5 * Z(4) + 11.0 * Z(3) + 5.5 * Z(5) + 4.0 * Z(6) + 8.5 * Z(7) | 15 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 124.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.234179847235781) q[0];
ry(1.0239291123674952) q[1];
ry(1.080632211033099) q[2];
ry(0.29738196794975946) q[3];
ry(0.7317323331744503) q[4];
ry(0.9334077383245656) q[5];
ry(-0.3457264430650706) q[6];
ry(-0.19595298910975784) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZIZI",
"IIIIZZII",
"IIIZZIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
10,
5,
13.5,
8.5,
11,
5.5,
4,
8.5
] | 0.976864 | [
1.234179847235781,
1.0239291123674952,
1.080632211033099,
0.29738196794975946,
0.7317323331744503,
0.9334077383245656,
-0.3457264430650706,
-0.19595298910975784,
0.004670486823088099,
0.012375903331327098,
0.026593296541803764,
-0.018526808149859228,
0.0017519273989482706,
0.08298503707051... | {
"n_parameters": 64,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 81 |
76157b1d41d620316091227a24617acb | 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": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [38, 22], "expectation_value": -4.556785509535232, "params": [-0.0024000000000000002, 0.10060000000000001, -0.001, 0.10360000000000001, 0.0037, 0.1178, -0.0027, 0.1124, 0.1971, 0.0441, 0.2028, 0.0477, 0.1968, 0.0594, 0.2036, 0.0529, 0.0022, 0.10060000000000001, 0.0019, 0.1052, 0.20400000000000001, 0.00310000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) ... | 7 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["11011010", "11101001", "11100011", "11101010", "10011101", "11011001", "01110011"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.14476374688337296) q[0];
rz(0.052765522135878484) q[0];
rx(0.05213126010557234) q[1];
rz(0.17235461147909148) q[1];
cx q[1], q[0];
rz(0.06069638419060856) q[0];
cx q[1], q[0];
rz(-1.3516782619237797) q[0];
ry(0.29428651790271526) q[0];
rz(1.505633216399299) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIZIIIZI",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-1,
-1,
-1,
-1.5,
-1.5,
0
] | 0.974217 | [
-0.14476374688337296,
0.11346190632648717,
0.05213126010557234,
0.17235461147909148,
0.2671198524718797,
-0.06705176744897039,
0.031431071982185026,
-0.11736695824929719,
0.14791579061591956,
0.26454480939902547,
-0.11132617243634424,
0.4597271386549495,
0.019771316900468655,
0.06163849330... | {
"n_parameters": 134,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 15 |
-8724236009168458715 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2, 3], [0, 2, 3]]} | {"states": [1, 3], "expectation_value": -0.45665024088846684, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 17, "probabilities": [0.09375511611924198, 0.44013947087863636], "optimization_time": 9.485742807388306} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666666 * Z(1) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666666, -0.6666666666666666, -0.6666666666666666], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.3333333333333335, "smallest_bitstrings": ["1100", "0010", "0001"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-0.23745531319120372) q[0];
h q[1];
ry(-0.23745531319120372) q[1];
h q[2];
cx q[2], q[1];
ry(0.23745531319120372) q[1];
cx q[2], q[1];
cx q[2], q[0];
ry(0.23745531319120372) q[0];
cx q[2], q[0];
ry(1.087814433818706) q[2];
cx q[1], q[2];
ry(0.0445628884481723... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.2292) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZZI",
"ZZII",
"ZIZI",
"IZIZ",
"ZIIZ",
"IZII",
"IIZI",
"ZIII",
"IIIZ"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666
] | 0.975559 | [
1.1288014638156687,
-0.47491062638240744,
1.132377322266878,
-0.08912577689634475,
0.2291041708431022,
0.37849267415699506,
-1.2347161105371947,
-1.2155585861764864,
0.3401937048678328,
0.33060526014688657,
0.7270459261281187,
-0.41692217258795367,
-0.24999421491868712,
0.7589237849584735,... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -0.6666666666666666,
"target_ratio": 0.97,
"target_value": -0.6466666666666666
} | 19 |
a580e4976632c242f00336b6365a3eca | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [469, 213], "expectation_value": -66.70440917297631, "params": [0.7477, -0.3896, 1.4976, -0.0021000000000000003, 1.498, 0.3598, 0.2043, 0.929, 1.5048000000000001, 0.2399, -0.0032, 0.8918, 1.5023, 0.37020000000000003, 0.2962, 0.8105, 1.496, -0.111, 0.7484000000000001, 0.005, 1.499, 0.0028, 1.4946000000000002,... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 9.0 * Z(2) + 12.5 * Z(1) + 1.0 * Z(3) + 6.0 * Z(4) + -3.0 * Z(5) + 9.5 * Z(8) + 2.5 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100101010"], "largest_eigenvalue": 117.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11927030382811893) q[0];
rz(-0.49192032151968057) q[0];
rx(1.5231187007395433) q[1];
rz(-0.08698827342443408) q[1];
rx(1.406501403160323) q[2];
rz(0.4204667134183042) q[2];
rx(0.1277339898994278) q[3];
rz(0.7589869024659347) q[3];
rx(1.6856019618989482) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIZIIIIIZ",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
10,
9,
12.5,
1,
6,
-3,
9.5,
2.5,
15
] | 0.976737 | [
0.11927030382811893,
-0.4079121626688213,
1.5231187007395433,
-0.08698827342443408,
1.406501403160323,
0.4204667134183042,
0.1277339898994278,
0.7589869024659347,
1.6856019618989482,
0.19622297216768408,
-0.05968451874922962,
0.7384540191141611,
1.5682850329615992,
0.3337167600943739,
0.... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 10 |
2118e7478ab1e46952c46b0af5fe079f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [423, 295], "expectation_value": -68.36558692041096, "params": [[[0.27740000000000004, -0.0013000000000000002], [1.0695000000000001, -0.0021000000000000003], [0.28950000000000004, -0.0011], [-0.0056, 0.0032], [1.0977000000000001, 0.44010000000000005], [-0.1438, 0.4592], [0.1303, -0.0424], [0.8795000000000001... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(6)) + 10.0 * Z(1) + -5.5 * Z(0) + 12.0 * Z(2) + 6.5 * Z(4) + -2.0 * Z(3) + -3.5 * Z(5) + 13.5 * Z(7) + 0.5 * Z(6) + 8.5 * Z(8) +... | 15 | 10 | 3 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["1011011000"], "largest_eigenvalue": 102.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.14679593440692099) q[0];
ry(1.0228315323164336) q[1];
ry(-0.5019740235686531) q[2];
ry(-0.26442282065618017) q[3];
ry(1.0018808768220777) q[4];
ry(-0.34018342938792684) q[5];
ry(-0.06092809257793052) q[6];
ry(0.8678329209773253) q[7];
ry(0.9196172335168623) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIZII",
"IZZIIIIIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
10,
-5.5,
12,
6.5,
-2,
-3.5,
13.5,
0.5,
8.5,
-1
] | 0.976366 | [
0.14679593440692099,
1.0228315323164336,
-0.5019740235686531,
-0.26442282065618017,
1.0018808768220777,
-0.34018342938792684,
-0.06092809257793052,
0.8678329209773253,
0.9196172335168623,
-0.03699334569408164,
0.012020171463536136,
0.08411068279861963,
0.021912970157025043,
-0.018440975304... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 53 |
8412646104141763826 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 2, 3, 4, 5, 6, 8, 10, 12], [3, 5, 7, 10, 11], [1, 3, 4, 5, 11, 12], [1, 5, 7, 11, 12], [2, 3, 7, 8, 9, 10, 12], [0, 3, 4, 5, 8, 9, 10, 11, 12], [0, 1, 2, 3, 6, 7, 8, 9], [0, 1, 3, 4, 5, 7, 8, 9, 10, 12], [1, 2, 5, 9], [0, 1, 2, 6, 7, 9, 10, 11]... | {"states": [3070, 2942], "expectation_value": -3.3041740867250553, "params": [0.49210000000000004, 0.4465, 0.4858, 0.0018000000000000002, 1.3625, -0.023100000000000002, 1.3834, -0.47800000000000004, 0.4953, 0.4716, 0.49050000000000005, 0.0033, 1.3712, -0.0431, 1.2983, 0.053000000000000005, 1.3673, 0.0008, 1.3742, 0.003... | 0.14285714285714288 * (Z(0) @ Z(1)) + 0.17738095238095236 * (Z(2) @ Z(1)) + 0.11785714285714285 * (Z(2) @ Z(0)) + 0.15833333333333335 * (Z(3) @ Z(1)) + 0.19444444444444445 * (Z(3) @ Z(0)) + 0.1376984126984127 * (Z(3) @ Z(2)) + 0.09325396825396826 * (Z(4) @ Z(1)) + 0.11150793650793653 * (Z(4) @ Z(0)) + 0.062698412698412... | 8 | 13 | 1 | {"smallest_eigenvalues": [-3.8071428571428574], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8035714285714284, "smallest_bitstrings": ["1010010000001"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(-0.11736824461493174) q[0];
rz(2.2219812004565043) q[0];
rx(1.467977651273235) q[1];
rz(0.002420928391367781) q[1];
cx q[1], q[0];
ry(0.05986769594740403) q[0];
cx q[1], q[0];
ry(0.054637963189607626) q[0];
rz(-1.6248531835756432) q[0];
rx(1.6128635014075388) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIIIIIIZZII",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIIIZI",
"IIIIIIIZIIIIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIZIIIIZI",
"IIIIIIZIIII... | [
0.14285714285714288,
0.17738095238095236,
0.11785714285714285,
0.15833333333333335,
0.19444444444444445,
0.1376984126984127,
0.09325396825396826,
0.11150793650793653,
0.0626984126984127,
0.15873015873015875,
0.21666666666666667,
0.07777777777777778,
0.12222222222222223,
0.17500000000000002... | 0.975126 | [
-0.11736824461493174,
0.6511848736616086,
1.467977651273235,
0.002420928391367781,
0.4004450531115269,
0.35882377683619343,
1.5080359533482657,
0.1996901019010191,
1.3701665289132061,
0.04153252021386823,
0.5773533781643383,
-0.15206620534406398,
1.4734624822286366,
-0.05639431712253164,
... | {
"n_parameters": 63,
"n_qubits": 13,
"optimal_eigenvalue": -3.8071428571428574,
"target_ratio": 0.97,
"target_value": -3.692928571428572
} | 15 |
fb8dcd1d9662770600b2a58ea2467525 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [0, 1023], "expectation_value": -20.129539228594176, "params": [[[-0.0023, 1.6032000000000002], [-0.0017000000000000001, 0.0019], [-0.0026000000000000003, -0.002], [0.0022, 0.002], [0.0018000000000000002, 0.002], [0.0022, 0.002], [0.0024000000000000002, 0.0021000000000000003], [0.0022, 0.002], [0.0019, 0.002... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 1.5 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(5)) + -2.5 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.6353282470761566) q[0];
h q[1];
ry(0.48202024338140065) q[1];
h q[2];
ry(0.48202024338140065) q[2];
h q[3];
h q[4];
ry(0.48202024338140065) q[4];
cx q[3], q[4];
ry(-0.48202024338140065) q[4];
cx q[3], q[4];
cx q[4], q[1];
ry(-0.48202024338140065) q[1];
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[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
-1,
-2.5,
-2.5,
-2,
1.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.970463 | [
0.9640404867628013,
-0.8121385305358959,
1.2706564941523133,
-1.3592044108300665,
0.32657958013134786,
0.007523817799481261,
1.9567640627456626,
-0.006546067366100743,
0.14553509167121856,
-1.257435337135376,
-1.0252237917264864,
0.2938862700762499,
0.08184232049459958,
-0.4930600903030048... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -23,
"target_ratio": 0.97,
"target_value": -22.31
} | 310 |
7033307588057999823 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 4, 5, 6, 8, 10, 11], [1, 2, 3, 4, 5, 6, 9, 11], [0, 1, 2, 3, 5, 6, 10], [1, 5, 6, 7, 8, 10, 11], [2, 4, 7, 9, 10], [3, 4, 5, 10, 11], [2, 3, 4, 6, 8, 10], [0, 3, 4, 6, 7, 8, 9, 11], [4, 6, 7, 10, 11], [1, 3, 5, 6, 8]]} | {"states": [3993, 4057], "expectation_value": -1.8537809172651893, "params": [[[3.1390000000000002, 0.0074], [3.1387, 0.0086], [3.1438, 0.0002], [3.1392, 0.0079], [3.1387, 0.006900000000000001], [1.6695, 0.0088], [-0.0032, 0.0044], [3.1395, 0.0024000000000000002], [3.144, 0.0085], [0.0016, 0.0071], [0.0022, 0.0098], [3... | 0.037698412698412696 * (Z(0) @ Z(1)) + 0.05555555555555555 * (Z(2) @ Z(1)) + 0.037698412698412696 * (Z(2) @ Z(0)) + 0.031746031746031744 * (Z(4) @ Z(1)) + 0.031746031746031744 * (Z(4) @ Z(0)) + 0.11507936507936509 * (Z(4) @ Z(2)) + 0.12936507936507935 * (Z(5) @ Z(1)) + 0.037698412698412696 * (Z(5) @ Z(0)) + 0.055555555... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.9047619047619053], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8869047619047628, "smallest_bitstrings": ["000000100110"], "largest_eigenvalue": 9.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.119877810874309) q[0];
rz(-0.012954148581243847) q[0];
rx(3.2101222569787993) q[1];
rz(0.013591802202696849) q[1];
rx(2.9910376116466253) q[2];
rz(-0.15064854860037155) q[2];
rx(3.084817895602357) q[3];
rz(-0.0905560027705566) q[3];
rx(3.2101222569787993) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.037698412698412696,
0.05555555555555555,
0.037698412698412696,
0.031746031746031744,
0.031746031746031744,
0.11507936507936509,
0.12936507936507935,
0.037698412698412696,
0.05555555555555555,
0.08174603174603175,
0.12936507936507935,
0.05555555555555555,
0.08888888888888888,
0.1329365079... | 0.975046 | [
3.119877810874309,
-0.012954148581243847,
3.2101222569787993,
0.013591802202696849,
2.9910376116466253,
-0.15064854860037155,
3.084817895602357,
-0.0905560027705566,
0.06771179931037564,
1.8293838910102658,
0.015539468148466117,
0.001001885867678029,
-0.07302607270699447,
3.066948280642270... | {
"n_parameters": 23,
"n_qubits": 12,
"optimal_eigenvalue": -1.9047619047619053,
"target_ratio": 0.97,
"target_value": -1.8476190476190482
} | 1 |
f59367e04a816e53fe2d358b99ca0dcd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capac... | {"states": [11, 43], "expectation_value": -6.608208343829195, "params": [[0.15910000000000002], [-0.1695]], "bitstrings": ["1111110100", "1111010100"], "total_optimization_steps": 20, "probabilities": [0.006461005413307509, 0.006515050222431661], "optimization_time": 3.442060947418213} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(5)) + -2.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(7)) + 3.0 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @ Z(7)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(3) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.5, -22.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.5, "smallest_bitstrings": ["1111010100", "1111110100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.12519108387525127) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.12519108387525127) q[5];
cx q[0], q[5];
h q[6];
cx q[0], q[6];
rz(-0.12519108387525127) q[6];
cx q[0], q[6];
cx q[5], q[6];
rz(-0.076070460... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIZIIIIZII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIIIZIZIII",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZZIIIIIII"... | [
-0.75,
-0.75,
-0.75,
-1,
-2.25,
-0.5,
-1.25,
-0.5,
-1,
3,
-1,
-0.25,
-0.75,
-1.5,
-1.5,
-0.25,
-0.5,
-1.5,
-2,
-1,
-1.5,
-2.75,
-0.25,
-1.5,
1.75,
-0.5,
1.5,
1,
-3,
-0.25,
4
] | 0.67249 | [
-0.12519108387525127,
-0.07607046072743397,
-1.2405075287717657,
-0.228433446600765,
-0.12631335239947408,
0.2763056892780677,
-0.3935784382279903,
-0.14135744889889162,
-0.019363846744589422,
-0.5580222693095157,
1.5152247562179257,
1.3975628395156094,
1.5574532423010405,
-1.4667856705211... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 341 |
2ef0efeae8588cdbd1c23c8accb74fcd | 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": [207, 143], "expectation_value": -76.26788795564119, "params": [0.1316, 0.1317, 0.0036000000000000003, 0.0016, 0.398, 0.39640000000000003, 0.15180000000000002, 0.1492, 0.0019, 0.0059, 0.0872, 0.0886, 0.3916, 0.3931, 0.38530000000000003, 0.38820000000000005, 0.38320000000000004, 0.384, 0.3825, 0.3855, 0.1221,... | 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(0) @ Z(7)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(8)) + 8.0 * Z(2) + 7.0 * Z(3) + 12.5 * Z(6) + 2.5 * Z(5) + 9.5 * Z(7) + 3.5 * Z(0) + 16.0 * Z(8) + 13.5 * ... | 13 | 10 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["1101110000"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.14264458876145156) q[0];
rz(0.010380391855522322) q[0];
ry(0.08086507502461113) q[1];
ry(0.36483086054477537) q[2];
ry(-0.02315412032726926) q[3];
ry(0.02772471375895105) q[4];
ry(-0.20757550883763964) q[5];
ry(0.2711904240456904) q[6];
ry(0.4521536544428673) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIZIIZIII",
"IIIIZIIZII",
"IIIZZIIIII",
"IIZIIIIIIZ",
"IZZIIIIIII",
"IZIIIIIIIZ",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIZI",
"IIIIIZIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
8,
7,
12.5,
2.5,
9.5,
3.5,
16,
13.5,
-8.5,
-9.5
] | 0.976148 | [
0.14264458876145156,
0.08086507502461113,
0.36483086054477537,
-0.02315412032726926,
0.02772471375895105,
-0.20757550883763964,
0.2711904240456904,
0.4521536544428673,
0.4067925975195675,
0.5565206541651371,
0.020760783711044645,
0.08164144784585949,
0.016588222668363788,
-0.17137074323285... | {
"n_parameters": 148,
"n_qubits": 10,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 6 |
148c98be54f48380a1d59caea5fb9c95 | 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": 1}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -18.240089222589773, "params": [0.004, 0.44020000000000004, 0.0025, -0.5631, 0.0027, 0.6061000000000001, 0.0023, 0.5910000000000001, 0.0025, -0.3398, 0.0024000000000000002, -0.5885, 0.0028, 0.6061000000000001, 0.8053, 0.0053, 0.0034000000000000002, 0.0088, 0.0025, 0.0099, 0.0027,... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3)... | 3 | 8 | 2 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.03939289528804486) q[0];
rz(0.6104138206589251) q[0];
rx(-0.00681563279887627) q[1];
rz(-0.9006858468689849) q[1];
rx(-0.021959365881757037) q[2];
rz(0.3356439632631911) q[2];
rx(0.03471226526304572) q[3];
rz(0.8790273908335049) q[3];
rx(-0.006815632798876268) 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": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIZII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIII... | [
-0.25,
-1.5,
-2.25,
-0.25,
-0.25,
-1,
-1.25,
-1.5,
-1.25,
-0.25,
-0.25,
-0.75,
-0.5,
-1.5,
-0.25,
-1,
-1,
3.5,
-0.5,
0.75,
-0.25,
0.5,
0,
-0.5,
0.25,
-3.75,
3
] | 0.976469 | [
-0.03939289528804486,
0.3056415618650099,
-0.006815632798876269,
-0.5864878321915629,
-0.021959365881757044,
0.5716771692755518,
0.03471226526304572,
0.731257367887284,
-0.33277460038548357,
-0.06527320802077959,
-0.4876274159857306,
-0.0662292616450873,
1.4837848577123118,
0.1080116767710... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 8 |
2114723939746209885 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6], [2, 5], [3, 4, 6], [0, 3, 4, 7], [1, 2, 3, 7], [0, 1, 3, 4]]} | {"states": [151, 235], "expectation_value": -0.6317130328046949, "params": [[-0.2994], [0.29550000000000004]], "bitstrings": ["01101000", "00010100"], "total_optimization_steps": 30, "probabilities": [0.008306244349300999, 0.008311459271197539], "optimization_time": 17.32313823699951} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.916666666666666, "smallest_bitstrings": ["10100010", "00010100"], "largest_eigenvalue": 5.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(-0.05395047896878598) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(-0.05395047896878598) q[6];
cx q[5], q[6];
cx q[4], q[6];
cx q[5], q[2];
rz(-1.537661141845475) q[2];
cx q[5], q[2];
rz(-0.053950478968... | 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[5], q[4];
r... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"IIZIIZII",
"IIIZZIII",
"IZIIZIII",
"IIIIZZII",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IIIIIIZZ",
"ZIIIIIZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZII... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.0833333333... | 0.735612 | [
-0.05395047896878598,
-0.8141857437063708,
-1.537661141845475,
-0.0412106408553294,
0.5135915112350218,
0.06929518070785219,
-0.9337262997251036,
-1.4353476593564123,
0.8833698056690719
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -1.9166666666666665,
"target_ratio": 0.97,
"target_value": -1.8591666666666664
} | 210 |
5168c0237f544101c4f064af80abb64b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [467, 403], "expectation_value": -70.15558253382491, "params": [[[1.1964000000000001, 0.2459], [1.2015, 0.0974], [1.2055, 0.1169], [0.5658000000000001, 0.3392], [0.0161, 0.1706], [1.0041, 0.6601], [0.0155, 1.0293], [-0.2837, 1.1181], [0.3007, 0.5478000000000001], [-0.2409, 0.17]], [[1.1044, 0.0064], [1.20230... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(9) @ Z(6)) + 7.5 * Z(1) + 0.5 * Z(0) + 8.5 * Z(2) + 4.5 * Z(3) + 14.0 * Z(5) + -6.5 * Z(4) + 3.0 * Z(6) + 2.5 * Z(8) + -2.5 * Z(7) + 10... | 15 | 10 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1001101100"], "largest_eigenvalue": 104.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5109113776755356) q[0];
ry(1.4993717507803008) q[1];
ry(1.7031150580662804) q[2];
ry(-0.3514449497046806) q[3];
ry(-0.12313392786707093) q[4];
ry(1.0489096218293437) q[5];
ry(0.2748267976185295) q[6];
ry(-0.1571731200803832) q[7];
ry(0.06093280651245386) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZIIIZIIIII",
"ZIIZIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7.5,
0.5,
8.5,
4.5,
14,
-6.5,
3,
2.5,
-2.5,
10
] | 0.971399 | [
1.5109113776755356,
1.4993717507803008,
1.7031150580662804,
-0.3514449497046806,
-0.12313392786707093,
1.0489096218293437,
0.2748267976185295,
-0.1571731200803832,
0.06093280651245386,
-0.432860815677644,
-0.08329206063522304,
-0.025931717743313883,
0.02992364406287598,
-0.1109138233319518... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -92.5,
"target_ratio": 0.97,
"target_value": -89.725
} | 34 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [17, 18], "expectation_value": -4.440142703922699, "params": [[0.068, 0.060700000000000004, 0.035500000000000004, 0.0473], [-0.08220000000000001, -0.08600000000000001, -0.0616, -0.06520000000000001]], "bitstrings": ["01110", "01101"], "total_optimization_steps": 10, "probabilities": [0.07673168622486563, 0.0... | 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)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
4157055762221462676 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 6, 7, 8], [1, 2, 3, 5], [0, 2, 4, 5, 7], [0, 1, 3], [1, 2, 4, 5, 7, 8], [5, 6], [0, 1, 2, 4, 8], [2, 3, 6, 7, 8], [0, 6], [0, 1, 4, 5, 7, 8], [2, 4, 6, 7]]} | {"states": [315, 459], "expectation_value": -1.430069286678417, "params": [[0.3778], [-0.3735]], "bitstrings": ["011000100", "000110100"], "total_optimization_steps": 40, "probabilities": [0.00860855558814723, 0.008821341608993056], "optimization_time": 2.5101802349090576} | 0.16666666666666669 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.16666666666666669 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(1)) + 0.1 * (Z(8) @ Z(6)) + 0.16666666666666669 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.883333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333335, "smallest_bitstrings": ["000110100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.006374230966147609) q[1];
cx q[4], q[1];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.021766748674017913) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(-0.01584140926726175) q[6];
cx q[1], q[6];
h q[7];
cx q[4], q[7];
rz(0.00... | 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": []} | [
"IIIIZIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIIIZZI",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZIZI",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIIIIZZII",
"IIIZZIIII",
"... | [
0.16666666666666669,
0.13333333333333333,
0.05,
0.25,
0.11666666666666667,
0.18333333333333335,
0.16666666666666669,
0.16666666666666669,
0.1,
0.16666666666666669,
0.21666666666666667,
0.16666666666666669,
0.13333333333333333,
0.21666666666666667,
0.13333333333333336,
0.25,
0.05,
0... | 0.970475 | [
0.006374230966147609,
-0.021766748674017913,
-0.01584140926726175,
0.009213028481646028,
0.02075839214657008,
-0.014567174213529899,
0.030452003564273224,
0.01136787959209525,
0.01198185904318387,
-0.03686698749333292,
-0.025304431414722106,
-0.0048349264904008985,
1.6181976293241218,
-1.5... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -2.883333333333334,
"target_ratio": 0.97,
"target_value": -2.796833333333334
} | 321 |
44e8495c1eeae4e26ce46cf2532bece4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 7, "source": 0, "target": 6... | {"states": [33, 41], "expectation_value": -22.2808455258224, "params": [[[-0.0022, 0.008700000000000001], [3.1447000000000003, 0.006200000000000001], [-0.0026000000000000003, 0.0085], [1.5914000000000001, 0.0057], [-0.0024000000000000002, 0.0007], [-0.0026000000000000003, 0.0045000000000000005], [3.1434, 0.008700000000... | -1.25 * (Z(0) @ Z(2)) + -1.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -1.75 * (Z(4) @ Z(2)) + -1.75 * (Z(4) @ Z(0)) + 4.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 3.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1010110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.5519503449681885) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.017208535175287056) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1480152089961798) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.017208535175287056) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIZIII",
"IIIZIZI",
"ZIIIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII"
] | [
-1.25,
-1.75,
-1,
-1.75,
-1.75,
4.25,
-1.75,
-0.5,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
3,
-3.5,
0.75,
4,
-3
] | 0.971147 | [
-0.5519503449681885,
0.017208535175287056,
-0.1480152089961798,
0.27545424319755374,
0.12372846103740961,
-0.38112154939511655,
-0.34473723335479495,
0.32909856397856396,
-0.11483012108538189,
0.15375169245769268,
0.2619884410144011,
-0.08643920947285949,
-0.6077504432577657,
0.41782139429... | {
"n_parameters": 52,
"n_qubits": 7,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 174 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | vqe | {"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": [20, 28], "expectation_value": -1.8750274864464591, "params": [[[0.6106, 0.0004], [0.6032000000000001, -0.0041], [0.6063000000000001, 0.0022], [0.00030000000000000003, 0.2864], [-0.0086, -0.2857]], [[0.61, 0.0004], [0.608, -0.0041], [0.609, 0.0022], [-0.0013000000000000002, 0.2862], [-0.0033, -0.2859]], [[0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | 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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
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 |
2398b0b8852b758caa629303970b584b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 23.023730278015137} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | 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[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 \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
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,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
aacaa96485aecd447212f3a2ddad723b | 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": 1, "source": 0, "target": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": 0, "target": 8}, {"capacity": 2, "s... | {"states": [1, 129], "expectation_value": -10.624915013515, "params": [-0.003, 0.0006000000000000001, 1.584, 0.0086, 0.0027, 0.0038, 1.1639000000000002, 0.0037, 0.0023, 0.0063, -0.0025, 0.0067, 0.0027, 0.0032, 0.0027, 0.0078000000000000005, 1.6046, 0.0071, 0.0056, 0.004, 0.0053, 0.0009000000000000001, 0.0067, 0.0003000... | -0.25 * (Z(0) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(0)) + 2.0 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + 3.5 * Z(6) + -0.25 * Z(0) + -2.25 * Z(7) + 1.5 * Z(8) + 0.5 * Z(1) + -2.5 * Z(2) + -0.7... | 3 | 9 | 1 | {"smallest_eigenvalues": [-15.0, -15.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.0, "smallest_bitstrings": ["101111110", "101011110"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(0.4913160654204863) q[0];
cx q[6], q[0];
h q[7];
cx q[6], q[7];
rz(0.028512783119828907) q[7];
cx q[6], q[7];
cx q[0], q[7];
cx q[6], q[2];
rz(0.08515804722401596) q[2];
cx q[6], q[2];
cx q[6], 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": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIZZII",
"IIZZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII"
] | [
-0.25,
-1.5,
-1.5,
2,
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-1.25,
3.5,
-0.25,
-2.25,
1.5,
0.5,
-2.5,
-0.75,
1.5,
-1.25
] | 0.971071 | [
0.4913160654204863,
0.028512783119828907,
-0.10664507011831546,
0.20651815175090793,
0.08515804722401596,
0.2830349843323535,
0.25990397793380765,
0.7521858922283763,
0.762225500893824,
-0.7412541471942645,
-0.628866500207978,
0.8576843208197956,
1.564883096515674,
0.5534726737838552,
0.... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 113 |
e8fdec38f32f10530d269f6547919d57 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [57, 171], "expectation_value": -2.2013967690387943, "params": null, "bitstrings": ["11000110", "01010100"], "total_optimization_steps": 70, "probabilities": [0.237433390966907, 0.3490305674890666], "optimization_time": 130.1718544960022} | 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(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 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)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.3016) q[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IZZZIIII",
"ZIZIIIII",
"IIIIZZII",
"IZIIIZII",
"ZIIIIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"IZIIZZII",
"ZIIIZZII",
"ZZIIIZII",
"ZZIIZIII",
"ZZIIZZII",
"IIIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.25,
0.125,
-0.125,
-0.25,
-0.25,
0.125,
-0.125
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
30e28b56cad01a233ddf0894e9b7eaa8 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [158, 179], "expectation_value": -0.11726566694827706, "params": [[-0.013800000000000002, -0.047400000000000005, -0.0509], [-0.0354, 0.044000000000000004, 0.057800000000000004]], "bitstrings": ["01100001", "01001100"], "total_optimization_steps": 10, "probabilities": [0.00487696184010715, 0.00487696184010715... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001010", "10010001", "01100001", "01001100"], "largest_eigenvalue": 6.0} | 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) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIZII",
"IIIZZIII",
"IIIZZZII",
"IIIIIZIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZIIZIZ",
"IIIIZIZI",
"IZIIIIZI",
"IZIIZIII",
"IZIIZIZI",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"ZZZIIIII",
"ZIIZIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.25,
-0.25,
0,
0,
-0.25,
0,
0,
-0.25
] | 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 |
16f78d4600a63f9e28571cad22ffe3ee | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 191.9742729663849} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.06533991207500221) q[0];
rz(1.7673554067439534) q[0];
rx(0.22394717722886268) q[1];
rz(1.5834346747889922) q[1];
rx(0.5914177553622147) q[2];
rz(1.2988874808531223) q[2];
rx(0.7383563693045873) q[3];
rz(1.421982816396154) q[3];
rx(0.6418769613290847) q[4];
rz(1.784... | 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(0.5995) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"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,
10,
-4,
14.5,
4,
18,
10.5,
15,
11,
6.5
] | 0.979432 | [
0.0653399120750022,
0.196559079949057,
0.2239471772288627,
0.012638347994095411,
0.5914177553622149,
-0.27190884594177434,
0.7383563693045871,
-0.14881351039874235,
0.6418769613290847,
0.21384660442009046,
0.8641840268522056,
0.23059727903605726,
0.11989875580688164,
-0.19251224406203676,
... | {
"n_parameters": 90,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
21fb824db9d4571acc6db752df147323 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [243, 182], "expectation_value": -10.306272245609968, "params": [[-0.0489], [0.0723]], "bitstrings": ["100001100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.004211562471511761, 0.004558495049167375], "optimization_time": 1.881596565246582} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(8)) + 11.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 159.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.25549267704344236) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.25549267704344236) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.25549267704344236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.30410009839415686) q[1];
rx(0.1258136... | 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IIZIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"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,
11.5,
4,
9.5,
17,
17.5,
6.5,
14.5,
4.5,
11
] | 0.956651 | [
0.25549267704344236,
-0.3041000983941558,
0.9848763284385804,
1.2188036063518455,
-1.2756975813505953,
-1.8944588483939733,
0.2657877683668698,
-1.754342394793927,
-1.3441944115109647,
0.1258136736015813,
-0.15876278426209414,
-1.4367388359047493,
0.1028262008911357,
-0.011542361849532222,... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -74,
"target_ratio": 0.97,
"target_value": -71.78
} | 500 |
-7617992486514997469 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [4, 6], [3, 6], [2, 4], [4, 5], [1, 7], [1, 3], [1, 6], [2, 6], [3, 5], [0, 6], [2, 3], [2, 7], [5, 6], [3, 7], [5, 7]]} | {"states": [27, 228], "expectation_value": -0.1674731804305617, "params": [[-0.0718], [0.07540000000000001]], "bitstrings": ["11100100", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004790657182606356, 0.004790657182606356], "optimization_time": 2.515582799911499} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00011011", "11100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.469963770821216) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.469963770821216) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.469963770821216) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.4... | 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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IZIIZIII",
"IIIZIZII",
"IZIIIZII",
"IIIIZZII",
"IIZZIIII",
"IZZIIIII",
"IIZIZIII",
"IZIIIIZI",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIIIIZ... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.365727 | [
-0.469963770821216,
1.6595369773453014e-8,
0.6322710781229514
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 96 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 6], "expectation_value": -1.4999059353941624, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 9, "probabilities": [1.7262078512802632e-05, 0.9999395445786815], "optimization_time": 2.123713493347168} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nry(1.4417) ... | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
-7337701157855719165 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 5, 7], [2, 3, 5, 6], [1, 2]]} | {"states": [55, 53], "expectation_value": -0.9650559994775921, "params": [1.0911, -0.3851, 0.9873000000000001, 0.0015, 0.42410000000000003, 0.513, 0.4181, 0.0098, 1.1971, -0.13920000000000002, 1.1943000000000001, 0.0089, 1.1972, 0.2827, 1.0613000000000001, 0.00030000000000000003, 0.3885, -0.4549, 0.3922, 0.001700000000... | 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333, -1.583333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.5000000000000004, "smallest_bitstrings": ["11011000", "01010001", "01001100", "01000011",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(1.5135131211547004) q[4];
cx q[7], q[4];
rz(-0.41275778193969437) q[4];
rx(-0.8562048889401611) q[4];
cx q[7], q[0];
rz(0.27849328077490243) q[0];
cx q[7], q[0];
cx q[7], q[5];
rz(0.278493... | 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": []} | [
"ZIIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIIIZZII",
"IZZIIIII",
"IZIIIZII",
"IZIIZIII",
"IIIIIZZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIIIIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666663,
0,
0.16666666666666666,
0.29166666666666663,
0.125,
0.125,
0.1... | 0.815047 | [
1.5135131211547004,
0.27849328077490243,
0.14561342422131693,
-0.41275778193969426,
1.2087892087157945,
0.547789556573655,
-0.8562048889401611
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -1.583333333333333,
"target_ratio": 0.97,
"target_value": -1.535833333333333
} | 192 |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [12, 6], "expectation_value": -0.4576465979322871, "params": [[-0.0748, -0.07200000000000001, -0.0627], [0.0745, 0.0758, 0.07060000000000001]], "bitstrings": ["10011", "11001"], "total_optimization_steps": 10, "probabilities": [0.045157118921066074, 0.04515711892106613], "optimization_time": 2.99376630783081... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
-1912021998129624574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4, 6], [2, 5, 7], [8, 0, 2], [1, 4, 7], [1, 6], [0, 5, 7], [1, 3, 4]]} | {"states": [498, 374], "expectation_value": -2.3720409451375764, "params": null, "bitstrings": ["000001101", "010001001"], "total_optimization_steps": 54, "probabilities": [0.06362545123398916, 0.8543902416153543], "optimization_time": 78.13463091850281} | 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.166666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["010001001"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
ry(-0.3733304824918745) q[1];
ry(-2.7843602722844385) q[2];
rz(-pi) q[2];
h q[3];
ry(0.3571098892173142) q[3];
h q[4];
ry(1.4170553211967774) q[4];
h q[5];
ry(-0.16359550688601499) q[5];
cx q[0], q[5];
ry(0.16359550688601499) q[5];
cx q[0], q[5];
ry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4449) 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] = m... | [
"ZIIIZIIII",
"IIZIZIIII",
"ZIZIIIIII",
"ZIIIIIZII",
"IIIZIIZII",
"IZIIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZIIIIIIIZ",
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIIIZZIII",
"IIIIIZIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIIZII",
"... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.1666666666... | 0.97531 | [
1.4170553211967774,
1.134755325512057,
-0.746660964983749,
1.1206580550336518,
-0.5228099002460971,
0.33586902982911604,
-0.423121353434775,
0.8881066051104023,
0.7142197784346284,
-0.32719101377202997,
0.6509146807582786,
-0.6137257167516231,
0.4515555528618857,
-0.6921176441012574,
0.4... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.5000000000000004,
"target_ratio": 0.97,
"target_value": -2.4250000000000003
} | 12 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [44, 19], "expectation_value": -0.18239670439049344, "params": [[0.006500000000000001, 0.0437, 0.0313, 0.0375], [0.0329, -0.042300000000000004, -0.032600000000000004, -0.0342]], "bitstrings": ["010011", "101100"], "total_optimization_steps": 10, "probabilities": [0.01887576315352147, 0.018875763153521477], "... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"ZIIIIZ",
"IZIZII",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
0
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
8ea4bcc4df3e10de0c557d9b64e2ab10 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [0, 193], "expectation_value": -16.530103968731716, "params": [-0.5121, 0.004200000000000001, 0.4002, 0.0041, 0.0043, 1.1554, 0.0036000000000000003, 0.0051, 1.0287, 0.0026000000000000003, -0.5830000000000001, 0.0022, 1.0235, 0.0071, -0.42700000000000005, 0.007, 0.0044, 1.7775, 0.0028, 0.0028, 0.0041, 1.7558,... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["1100111110"], "largest_eigenvalue": 15.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.07492664217678363) q[0];
rz(1.7614927903686137) q[0];
rx(0.020430163044854975) q[1];
rz(2.1141233976630804) q[1];
rx(0.5043765003119409) q[2];
rz(1.4321340527992916) q[2];
rx(-0.5153130145733165) q[3];
rz(2.1330373066288644) q[3];
rx(-0.026372962808336606) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIZIIIIIIZ",
"IIZIIZIIII",
"IIIIIZIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIIIIIZZII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIIZII",
"ZIIIIIIIIZ",
"ZIIIIZIIII"... | [
-0.25,
-1,
-0.75,
-1,
-1.5,
-1.25,
-0.5,
-0.25,
-1,
-0.25,
-1.25,
-0.5,
-0.5,
-0.75,
-0.5,
-1.5,
-0.75,
-1.25,
2.25,
-0.5,
-0.75,
2,
-0.25,
0,
0,
-1.25,
0,
-0.5,
0.25,
0,
-0.25
] | 0.97539 | [
-0.07492664217678363,
0.19069646357371633,
0.020430163044854975,
0.5433270708681835,
0.5043765003119409,
-0.13866227399560505,
-0.5153130145733166,
0.5622409798339681,
-0.026372962808336606,
0.6731554899271923,
-0.04439183815517753,
0.627447056358518,
0.13040063262318008,
0.324396683318380... | {
"n_parameters": 99,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 99 |
-3577728562633297950 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 5], [1, 6], [2, 4, 5], [1, 2], [3, 4], [0, 6]]} | {"states": [102, 27], "expectation_value": -0.8860319462464481, "params": [[0.3794], [-0.3729]], "bitstrings": ["0011001", "1100100"], "total_optimization_steps": 40, "probabilities": [0.03184638419201513, 0.03196398105389073], "optimization_time": 2.05354642868042} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.03673851700120361) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.03673851700120361) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.03673851700120361) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.3548770111013405) q[5]... | 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[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];
c... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIZIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.29166666666666663,
0.125,
0.125,
0.29166666666666663,
0,
0,
0.16666666666666663
] | 0.570123 | [
0.03673851700120361,
0.3548770111013405,
0.9808951486845812,
0.08745596138881614,
0.7003429223515467,
0.12868153307280739,
-0.1697544863046166,
-0.8109837050394958
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -2.583333333333333,
"target_ratio": 0.97,
"target_value": -2.505833333333333
} | 177 |
-4147486941807655039 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [4, 5], [1, 2, 4], [5, 7], [2, 3, 5], [0, 5], [8, 4], [1, 6], [8, 1, 2, 7], [4, 6], [0, 2, 3, 4], [0, 2, 3, 7], [1, 5]]} | {"states": [109, 434], "expectation_value": -0.10441897432147318, "params": [[0.0699], [-0.0644]], "bitstrings": ["110010010", "001001101"], "total_optimization_steps": 10, "probabilities": [0.002194324826162523, 0.0022249705704411003], "optimization_time": 2.885756015777588} | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7500000000000004, "smallest_bitstrings": ["001001101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.4951305110179356) q[0];
rz(1.6581695980493656) q[0];
rx(1.4070912915410465) q[1];
rz(1.5213176345630135) q[1];
rx(0.4458762769177125) q[2];
rz(2.1580635033491955) q[2];
rx(1.407091291541047) q[3];
rz(1.7796097374677071) q[3];
rx(1.6744295115649883) q[4];
rz(1.56543... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIZZIIIII",
"IIZIZIIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIIZIIIZI",
"IIIIZIIZI",
"IIIZIIZII",
"IIIIZIZII",
"IIIIIIZZI",
"IZIZIIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IIIZIZIII",
"IIIIZZIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZIIIIZ",
"IIIIZIIIZ",
"IIIIIIZIZ",
"IZIIIIIIZ",
"IIIIIZIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.25,
0.25,
0.5,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
... | 0.971554 | [
1.4951305110179356,
0.08737327125446884,
1.4070912915410467,
-0.049478692231883614,
0.4458762769177124,
0.5872671765542987,
0.20881341067281084,
1.6744295115649885,
-0.005360231948677224,
-0.03092270031408834,
0.1621552122323196,
0.4357086579051086,
-0.03356638542692633,
-0.044311998096295... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 65 |
c6198992ed6af601fff9980eebb43bc1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [95, 79], "expectation_value": -86.19679786040442, "params": [[[0.8092, 0.1812], [0.11130000000000001, 0.19490000000000002], [1.0019, 0.7467], [0.0703, 0.7367], [-0.0292, 0.5711], [0.129, 0.4606], [0.41450000000000004, 0.8632000000000001], [0.9192, 0.9897], [0.7173, 0.8795000000000001]], [[0.9008, 0.37970000... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + 28.0 * Z(2) + 15.0 * Z(4) + 2.0 * Z(5) + -... | 15 | 9 | 3 | {"smallest_eigenvalues": [-103.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["110110000"], "largest_eigenvalue": 200.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.45916487220562513) q[0];
ry(-0.4532786475326309) q[1];
ry(0.22406619230917788) q[2];
ry(-0.10836728440891821) q[3];
ry(-0.4830610780925826) q[4];
ry(0.03882335968590491) q[5];
ry(0.22607238804934238) q[6];
ry(0.6722909483974202) q[7];
ry(0.536721264436727) q[8];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZIZII",
"IIIZIZIII",
"IIZIIIZII",
"IIZIZIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
-6.5,
28,
15,
2,
-3.5,
20.5,
21.5,
24,
-12.5
] | 0.970218 | [
0.45916487220562513,
-0.4532786475326309,
0.22406619230917788,
-0.10836728440891821,
-0.4830610780925826,
0.03882335968590491,
0.22607238804934238,
0.6722909483974202,
0.536721264436727,
-0.028076459002949944,
0.02140520915543863,
0.019278857080687585,
0.09222228301075203,
-0.1841503241516... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -103.5,
"target_ratio": 0.97,
"target_value": -100.395
} | 72 |
f907fef774f6ac859ad4ff3ba322e9a8 | 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": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.12120866480627024, "params": [[-0.1831], [0.1811]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.4555112151316067e-05, 2.455511215131608e-05], "optimization_time": 14.229319334030151} | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444445 * (Z(2) @ Z(0)) + -0.0006944444444444445 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002314814814814815 * (Z(4) @ Z(0)) + -0.0011574074074074073 * (Z(4) @ Z(2)) + 0.0002314814814814815 * (Z(5) @ Z(1)) + -0.0011574074074074073 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022839506172799], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.022839506172777, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.01450617283947} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.423507275287985) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0014740475103217437) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.0014740475103217437) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.423507275287985) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"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,
-0.0006944444444444445,
-0.0006944444444444445,
0.25,
0.0002314814814814815,
-0.0011574074074074073,
0.0002314814814814815,
-0.0011574074074074073,
0.25,
-0.0009259259259259261,
-0.0009259259259259261,
0.00015432098765432098,
-0.0009259259259259261,
-0.0009259259259259261,
0.000154... | 0.974648 | [
-1.423507275287985,
-0.0014740475103217437,
0.02447519882118908,
0.026628112931451127,
0.03008078578291139,
0.05534662295840886,
0.04028745311327378,
0.029199518572590524,
0.798170788362576
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.022839506172799,
"target_ratio": 0.97,
"target_value": -1.962154320987615
} | 31 |
ec35ce3891ac4bb821f68ab1691bd73d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"sour... | {"states": [252, 248], "expectation_value": -3.046890461919882, "params": [[-0.2311], [0.22410000000000002]], "bitstrings": ["00000011", "00000111"], "total_optimization_steps": 30, "probabilities": [0.017414542397640575, 0.018043053781743167], "optimization_time": 2.195949077606201} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6889297525202944) q[0];
cx q[1], q[0];
rz(0.14575789635027325) q[0];
rx(0.9040475238941487) q[0];
rz(0.14575789635027325) q[1];
rx(0.9040475238941487) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(1.2782695310528267) q[2];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[4], q[2];
rz(x1) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(x1) q[3];
cx... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIZZIII",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-1,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.566198 | [
1.6889297525202944,
1.2782695310528267,
0.14575789635027314,
0.9040475238941488
] | {
"n_parameters": 4,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 133 |
1e66658283a5aa7556a964c41aeb84ff | 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": 7}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -11.555910387196992, "params": [[[-0.0029000000000000002, 0.0122], [-0.0029000000000000002, -1.5026000000000002], [-0.0027, 0.0021000000000000003], [-0.0022, 0.0033], [-0.0023, -0.0031000000000000003], [-0.0024000000000000002, -0.0025], [-1.1994, 0.003], [0.6473, 0.026000000000... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(7)) + -1.25 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -1.5 * (Z(4) ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(0.005559243985634868) q[0];
cx q[7], q[0];
rz(-0.05468477954647444) q[0];
rx(1.4808495225559397) q[0];
cx q[7], q[1];
rz(-0.2251769942614919) q[1];
cx q[7], q[1];
cx q[7], q[2];
rz(-0.2251... | 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": []} | [
"ZIIIIIIZ",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIIZZI",
"ZIZIIIII",
"IIZIIIZI",
"IZIIIIZI",
"IZZIIIII",
"IIIIZZII",
"ZIIZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIZIIII",
"IIIZZIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.25,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-0.5,
-1.75,
-0.25,
-0.75,
-0.25,
-0.75,
-0.25,
-1.5,
-3.5,
-0.25,
4,
-0.75,
-1.25,
0,
-0.25,
2
] | 0.840546 | [
0.005559243985634868,
-0.2251769942614919,
0.014078273455673817,
-0.13258183894919015,
-0.6507055880512345,
-0.07610002195760088,
-0.05468477954647449,
-0.009310548940203356,
1.0145287463405748,
-0.984669273512638,
-0.31651126330196433,
-1.526871870686111,
1.48084952255594,
-0.006048706674... | {
"n_parameters": 25,
"n_qubits": 8,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 500 |
f5d94ed048c28683c088d45a2d452aca | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [101, 117], "expectation_value": -1.7461462060937782, "params": [0.3518, 0.4027, 0.4419, 0.39440000000000003, 1.0070000000000001, -0.007500000000000001, 1.0090000000000001, -0.005200000000000001, 0.8482000000000001, -0.24810000000000001, 0.3512, -0.4107, 1.0015, -0.0013000000000000002, -0.0025, -0.0031000000... | 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(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)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5625, "smallest_bitstrings": ["100010011", "100011010", "010101010", "110001010"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.02552969185607684) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.02552969185607684) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.02552969185607684) q[2];
cx q[4], q[2];
rz(0.053037807579160656) q[4];
rx(0.03596552598350... | 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",
"IIIIIZIIZ",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZIIZI",
"ZIIZIIIII",
"IIIIIZZII",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
... | 0.97526 | [
0.02552969185607684,
0.05303780757915737,
-0.932451183068515,
-0.44458931057038503,
0.7248839431352665,
0.035965525983503804,
-0.054060400986610024,
1.483589310496052,
-0.50274110913514,
-1.0054512469546093,
-1.424809320745203,
0.1323102766172392,
0.027709653532014676,
-0.3459560570964707,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 32 |
bba2e06053fa3c8a9a710a4bd3703eb1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [35, 51], "expectation_value": -0.8192647283049657, "params": [[0.061900000000000004, 0.0534, 0.0625], [-0.0685, -0.0524, -0.0461]], "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 10, "probabilities": [0.01221764066611642, 0.013695221259520251], "optimization_time": 4.047845125198364} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.20114804250361765) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.20114804250361765) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.5448829019394585) q[1];
rx(-1.4659658311578172) q[1];
rz(0.20114804250361765) q[4];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IZZIIII",
"ZIIIIIZ",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1,
-1,
-1,
0
] | 0.865455 | [
0.20114804250361765,
0.5448829019394584,
-1.032970517939543,
0.4736712255784174,
1.0508280684852456,
-1.4659658311578172,
0.5456458777217237,
-0.10953584608557748,
-0.37646442800846214,
-0.13348686815000904,
-1.0425535039283687,
0.39545867198032075,
1.1703587779377986,
-1.9860700753402072,... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 439 |
1945c14bbcec92b7e4f7655d5da7795f | 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": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [0, 1], "expectation_value": -8.01744907769928, "params": [[[-0.0033, 0.004200000000000001], [0.0026000000000000003, 0.0086], [0.0025, 0.0027], [0.0022, 0.0006000000000000001], [0.0026000000000000003, 0.0026000000000000003], [0.0026000000000000003, 0.0068000000000000005], [0.0024000000000000002, 0.0028], [1.... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11111110", "10011010", "10111110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [0, 1], "expectation_value": -3.2916174083295657, "params": [[[-0.0011, 0.1432], [0.0034000000000000002, 0.2902], [0.316, 0.0071], [0.0012000000000000001, 0.3129], [0.40040000000000003, 0.0028]], [[-0.004, 0.1608], [0.0016, 0.28090000000000004], [0.31770000000000004, 0.0071], [0.0051, 0.30820000000000003], [... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
155388a51f67e78b5cb4ef00a89a070e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [26, 24], "expectation_value": -2.772282504715932, "params": [0.0032, 0.2792, 0.3937, 0.0103, 0.4012, 0.0043, 0.0021000000000000003, 0.2906, 0.39490000000000003, 0.008400000000000001, 0.0029000000000000002, 0.27890000000000004, 0.0011, 0.2494, 0.39330000000000004, 0.0074, 0.4067, 0.0033, 0.0014, 0.3033, 0.39... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -1.0 * Z(3) + -0.25 * Z(4) + -0.75 * Z(5) | 18 | 6 | 4 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111", "110101"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5552024880387824) q[0];
rz(2.173491543047642) q[0];
rx(-0.021432730878157114) q[1];
rz(1.5854448914960635) q[1];
rx(0.08647489835213272) q[2];
rz(1.4767621538449163) q[2];
rx(-0.14845667224857556) q[3];
rz(0.9389022761135877) q[3];
rx(0.7033000905919017) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZZII",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IZIIZI",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.5,
-0.25,
-1,
-0.25,
-0.75
] | 0.970783 | [
0.5552024880387824,
0.602695216252745,
-0.021432730878157114,
0.014648564701166138,
0.08647489835213272,
-0.09403417294998005,
-0.14845667224857556,
-0.6318940506813102,
0.7033000905919017,
-0.5231828220558223,
0.16331503638394998,
-0.06395732096708569,
0.6571705851500236,
-0.1287814249440... | {
"n_parameters": 125,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 172 |
4755273824363800903 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [0, 7], [4, 7], [1, 5], [1, 3], [0, 6], [0, 2], [4, 5], [5, 7], [2, 6], [3, 6], [4, 6], [2, 5], [8, 7], [3, 5], [3, 4], [1, 4], [5, 6]]} | {"states": [222, 198], "expectation_value": -4.288017139299532, "params": null, "bitstrings": ["100100001", "100111001"], "total_optimization_steps": 71, "probabilities": [0.05460813887962826, 0.822292317229322], "optimization_time": 148.40688109397888} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100011001", "100111001", "011000110", "011100110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.21115608178303932) q[0];
ry(-2.986654252842112) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8489741859184256) q[2];
h q[3];
ry(-0.30737585519380745) q[3];
h q[4];
h q[5];
ry(-0.21115608178303932) q[5];
cx q[4], q[5];
ry(0.21115608178303932) q[5];
cx q[4], q[5];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"IIIIZIZII",
"IIIIIIZIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIZII",
"IZIZIIIII",
"IIIZIIIZI",
"IIIIZZIII",
"IIIIIZIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZZIIIII",
"IIZIIZIII",
"ZZIIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973355 | [
-0.42231216356607865,
1.493998006395347,
1.697948371836851,
-0.8020184593913401,
-0.5352966479876372,
-1.162206583354389,
1.2897451566486657,
-1.330053089792273,
1.2550412186319686,
0.13750409861263227,
-0.4876165394023457,
0.25222553879709925,
-0.6147517103876149,
-0.5330556488217082,
-... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 13 |
2497a3606796f89526680dbe0483c469 | matching | 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}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 8}, {"weight": 6, "source... | {"states": [412, 220], "expectation_value": -12.504982297811393, "params": [[0.042800000000000005, 0.0257], [-0.059300000000000005, -0.0567]], "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006164082489881, 0.007207061552896542], "optimization_time": 2.768320322036743} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 9.0 * Z(1) + 3.5 * Z(0) + 7.5 * Z(2) + 13.0 * Z(4) + 8.0 * Z(3) + 13.5 * Z(5) + 10.0 * Z(6) + -2.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 115.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.06356757026261062) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.06356757026261062) q[2];
cx q[0], q[2];
rz(-1.0511458598107088) q[0];
rx(-1.353721050742422) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.06356757026261062) q[3];
cx 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": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIZII",
"IIZIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
9,
3.5,
7.5,
13,
8,
13.5,
10,
-2.5,
3
] | 0.976978 | [
0.06356757026261062,
0.960869439088677,
-1.0511458598107093,
1.037047989665448,
1.215473855629563,
-1.4227480047646843,
1.1128313262972302,
1.36915389519243,
-1.7571778119963217,
-1.2182079999052162,
-1.353721050742422,
0.09477380270927162,
0.8270940657629897,
-1.3672254046567505,
1.2972... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 50 |
9d8cdd3ce137f8d1d89fd1fc011d16ae | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [82, 104], "expectation_value": -0.24424683254266052, "params": [[-0.0557], [0.060200000000000004]], "bitstrings": ["0101101", "0010111"], "total_optimization_steps": 10, "probabilities": [0.008624204792939752, 0.008624204792939754], "optimization_time": 1.6462039947509766} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0010111", "0101101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-9.836064862456478e-09) q[0];
cx q[4], q[0];
rz(-1.5707965476190617) q[0];
rx(1.5707963181757285) q[0];
cx q[4], q[1];
rz(-9.836064862456478e-09) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(-9.836064862456478e-09) 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;
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[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1]... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIIIZZI",
"IZZIIII",
"IZIIIZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-1,
-1.5,
-2,
-1
] | 0.818182 | [
-9.836064862456478e-9,
1.5707962869286853,
-1.5707965476190617,
1.5707963719222657,
-1.5707963008706793,
1.5707963181757285
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 155 |
272b7f7d40fcddb1ed0126c6a9e7e713 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [84, 69], "expectation_value": -4.489065530941433, "params": null, "bitstrings": ["0101011", "0111010"], "total_optimization_steps": 31, "probabilities": [0.06023620223353348, 0.8645374077212827], "optimization_time": 31.473886489868164} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -2.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0101011", "0001111", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5268184527905595) q[0];
h q[1];
ry(-0.5863849301185132) q[1];
h q[2];
ry(-0.4467903536096225) q[2];
h q[3];
ry(-1.5326453727678047) q[3];
h q[4];
cx q[4], q[1];
ry(0.5863849301185132) q[1];
cx q[4], q[1];
ry(-0.785942860310472) q[1];
ry(1.01648887962512) q[... | 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[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",
"IZIIIZI",
"IZIZIII",
"IIIZIZI",
"IZZIIII",
"IIZIIZI",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"ZIIIZII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-2,
-1,
-0.5,
-0.5
] | 0.99626 | [
-1.5326453727678047,
-1.4626085534216924,
1.5268184527905595,
-1.1727698602370265,
-0.893580707219245,
0.7397924109858606,
-0.5748230132779608,
0.5533929372785191,
-0.4222396940650226,
0.25940882549724836,
0.26179430582524343,
-0.14133766437944584,
-0.032494331004286475,
0.0123514396363018... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [3, 1], "expectation_value": -3.2495731199669877, "params": [[[0.0068000000000000005, 0.2798], [0.0013000000000000002, 0.4329], [0.4641, 0.0002], [0.6099, 0.0034000000000000002]], [[-0.0008, 0.3111], [0.0046, 0.46840000000000004], [0.4675, 0.0001], [0.6086, 0.0034000000000000002]], [[0.0064, 0.00120000000000... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
247ede82bbc36285f5765c81a230f94f | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [480, 508], "expectation_value": -10.845328367706644, "params": null, "bitstrings": ["000011111", "000000011"], "total_optimization_steps": 100, "probabilities": [0.07487575182790177, 0.5776673153182541], "optimization_time": 190.9489221572876} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + -1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000000011"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.0783724732087645) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.8060979239424118) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8060979239424118) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.1477328261951266) q[3];
cx q[1], q[3];
cx... | null | {"node": 7} | {"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(1.5706) 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];\nc... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIZIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.549908 | [
1.0783724732087645,
0.8060979239424118,
0.1477328261951266,
1.6446462710040042,
0.940547812914101
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 155 |
a2b703670d19247f6071de624d813f7d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [1436, 1438], "expectation_value": -2.8441311094109736, "params": [[[0.3426, -0.0125, 0.0081, 0.0079], [0.7881, 0.19790000000000002, 0.4292, 0.1652], [0.553, 0.024800000000000003, -0.47990000000000005, -0.4314], [0.14780000000000001, 0.0409, 0.8975000000000001, 0.0023], [0.7683, -0.00030000000000000003, -0.2... | 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)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(3) @ Z(6... | 11 | 11 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.6875, "smallest_bitstrings": ["10000100011", "00110100100", "10000100110", "10000100101", "10000101100", "10000110010", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.13585782355247195) q[0];
rz(0.29864270240676144) q[0];
ry(0.4563168005262513) q[1];
rz(0.38243811920507753) q[1];
cx q[1], q[0];
ry(0.5176341854895177) q[0];
rz(-0.43373726839029036) q[0];
ry(0.7226319683581064) q[1];
rz(0.3157779697635044) q[1];
ry(0.545519599691... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIIZZIIZ",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIIZIIIZI",
"IIIIZIIZIII",
"IIIZIIIZIII",
"IIIIIZIZIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIZIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
... | 0.970229 | [
0.13585782355247195,
0.29864270240676144,
0.4563168005262513,
0.38243811920507753,
0.545519599691342,
0.19833271922099288,
0.047629893253298736,
-0.6494667888063903,
0.8509917401973556,
0.07690407039138134,
0.3022796071558218,
0.36948672697092555,
-0.07852957412380208,
0.27113912634784293,... | {
"n_parameters": 118,
"n_qubits": 11,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 91 |
fa5ac40f7633e062ace3acdae8758a5b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [168, 936], "expectation_value": -14.617619726353846, "params": [-0.004200000000000001, 0.0064, 1.0157, 0.804, 0.0367, -0.04, 0.6325000000000001, 2.802, -0.0045000000000000005, 0.0043, 1.0425, 0.9294, 0.0019, 0.0044, 0.8279000000000001, 2.3208, 0.0027, 0.0023, 0.0027, 0.003, 0.0022, 0.0026000000000000003, -2... | -0.75 * (Z(0) @ Z(6)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(9)) + -0.25 * (Z(2) @ Z(6)) + 2.25 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(8)) + -1.25 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(10)) + -1.25 * (Z(4) @ Z(9)) + -1.0 * (Z(4)... | 14 | 11 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -15.0, "smallest_bitstrings": ["10011010111", "10011010101", "10001010111", "10001010101"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.12459999847776491) q[0];
rz(0.08664866486789861) q[0];
ry(0.2483065671451601) q[1];
rz(0.7339868136494383) q[1];
cx q[1], q[0];
ry(-0.016845019714259682) q[0];
rz(1.2321029613106638) q[0];
ry(-0.024672683947620094) q[1];
rz(0.3782224834942546) q[1];
ry(-0.03426066... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIZIZIIIIII",
"IIZIIIIIIIZ",
"ZIIIIIIIIIZ",
"IZIIIIIIIZI",
"IIIIZIIIZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIZIIZIII",
"IIZIIIIZIII",
"IIZIIIZIIII",
"ZIIIIIZIIII",
"IZIIIIZIIII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"ZIIIIZIIIII",
"IIIIIZIIIZI",
"ZIIZIIIIIII",
"IIIZIIIII... | [
-0.75,
-0.25,
-0.25,
-1,
-0.5,
-0.25,
2.25,
-1,
-0.5,
-0.25,
-1.25,
-1,
-1.25,
-1,
-1.25,
-1,
-1,
-1,
-0.75,
-1,
-0.75,
-0.25,
0.5,
-2,
0.75,
-0.25,
0,
2,
-3.75,
1,
2.75
] | 0.973883 | [
0.12459999847776491,
0.08664866486789861,
0.2483065671451601,
0.7339868136494383,
-0.03426066711475769,
2.6612039985710574,
0.0445064479186902,
-0.3226637269882751,
0.21850479158559288,
1.078593869455186,
2.5545128214522794,
-0.634362650649622,
0.06972862455409962,
2.263952469277082,
-1.... | {
"n_parameters": 71,
"n_qubits": 11,
"optimal_eigenvalue": -17,
"target_ratio": 0.97,
"target_value": -16.49
} | 63 |
02575a12c565dc28617818fe7f0b4a99 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [126, 118], "expectation_value": -51.281590836365126, "params": [0.45280000000000004, 0.37020000000000003, 1.067, 0.0002, 1.0639, -0.0044, 1.062, 0.13540000000000002, 0.549, 0.2735, 1.0686, -0.0181, 1.0744, 0.1365, 0.2929, 0.3927, 0.45690000000000003, 0.3401, 1.0751, -0.0125, 1.0694000000000001, 0.0018000000... | 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(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 18 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
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