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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7e79a6c0865add43857b5756cd421c60 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "ta... | {"states": [47, 46], "expectation_value": -4.323894148654698, "params": [0.1158, 0.0013000000000000002, 0.1154, -0.0021000000000000003, 0.0819, 0.0048000000000000004, 0.1448, 0.0021000000000000003, 0.40190000000000003, 0.0025, 0.4042, 0.0025, 0.3975, -0.0021000000000000003, 0.40180000000000005, -0.0005, 0.4001, -0.0008... | 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(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["11011000", "11100001", "11010001", "11101000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.16457273761892977) q[0];
rz(1.8065918220655508) q[0];
rx(0.377761724658346) q[1];
rz(1.7008821803439709) q[1];
rx(0.7155344756114993) q[2];
rz(1.5927718323028515) q[2];
rx(0.09249448870981128) q[3];
rz(1.737368299091382) q[3];
rx(0.5858187242545507) q[4];
rz(1.784... | 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",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-0.5,
-1,
-0.5,
-0.5,
0,
-0.5
] | 0.970874 | [
-0.16457273761892977,
0.23579549527065385,
0.377761724658346,
0.13008585354907393,
0.7155344756114992,
0.021975505507955236,
0.09249448870981128,
0.16657197229648507,
0.5858187242545508,
0.2141026032232463,
0.34478423997266655,
-0.006459292229995204,
0.9287376137625358,
0.40851877359228606... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 77 |
86f7cf811774c9dc1f8ac7ebefafd51c | 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": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 26], "expectation_value": -2.489065531692975, "params": null, "bitstrings": ["100011", "100101"], "total_optimization_steps": 27, "probabilities": [0.060236481746409505, 0.864537407937405], "optimization_time": 18.820464611053467} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) q[3];... | 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[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [256, 1], "expectation_value": -14.073440113427013, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 25, "probabilities": [0.16348483599197114, 0.8147018804492054], "optimization_time": 34.77807402610779} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12632010655421677) q[0];
rz(1.8578626502860658) q[0];
rx(-0.000669354581534873) q[1];
rz(2.0703142827695533) q[1];
rx(0.0270665271796058) q[2];
rz(1.7439616172522454) q[2];
rx(0.024827761160138635) q[3];
rz(2.2582094671703317) q[3];
rx(-0.1257776751083039) q[4];
r... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.5708) q[8], 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... | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIZIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIIIZI",
"... | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-1,
-0.5,
-0.75,
2.75,
-0.75,
-0.25,
-1.5,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.25,
-0.75,
-0.25,
0,
0.5,
0.25,
1.25,
-0.5,
-1,
0.5
] | 0.985832 | [
-0.12632010655421677,
0.28706632349116823,
-0.0006693545815348728,
0.4995179559746564,
0.0270665271796058,
0.17316529045734858,
0.024827761160138635,
0.6874131403754353,
-0.12577767510830393,
0.39459743160431243,
0.06753267216512844,
0.6803025278602091,
0.022585476584377165,
0.343210858297... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 7 |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"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": [6, 9], "expectation_value": -0.10460462324137841, "params": [[-0.0403, -0.028200000000000003, -0.08020000000000001], [0.0553, 0.020800000000000003, 0.0673]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.07614599280342814, 0.07614599280342814], "optimization_time": 2.32... | 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 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
5f46e3caaa931f446d5d37e76f941f6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [126, 1], "expectation_value": -0.7278883979099953, "params": [[0.07], [-0.0757]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010723035638324212, 0.011891684886293571], "optimization_time": 1.836379051208496} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(5)) + -1.0 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(2)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.5 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-0.05661121897376136) q[0];
h q[1];
ry(-1.604518163982522) q[1];
h q[2];
ry(-1.604518163982522) q[2];
h q[3];
ry(-1.604518163982522) q[3];
h q[4];
ry(-1.604518163982522) q[4];
h q[5];
ry(-1.604518163982522) q[5];
h q[6];
ry(1.5022165539344468) q[6];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
-0.75,
-0.25,
-0.75,
-1.25,
2.5,
-0.75,
-0.75,
-1.25,
-1.25,
-1,
-0.25,
-1.25,
-0.75,
-0.25,
-0.5,
0.5,
1.5,
-1,
0.5
] | 0.997589 | [
1.5022165539344468,
-1.604518163982522,
-0.04577876357227252
] | {
"n_parameters": 3,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 1 |
2070221959557949909 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [3, 5], [0, 1, 2], [2, 4]]} | {"states": [25, 28], "expectation_value": -1.7363818678347078, "params": null, "bitstrings": ["100110", "100011"], "total_optimization_steps": 32, "probabilities": [0.05721951426537516, 0.8591683970145148], "optimization_time": 24.575976848602295} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.16666666666666663 * Z(1) + 0.0 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666663 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["010110", "100011", "001001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(1.1186089398491745) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(0.27997445890646483) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.27997445890646483) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.279974458906465) 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];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"ZIIIZI",
"ZIZIII",
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIZII",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666663,
0
] | 0.640448 | [
1.1186089398491745,
0.27997445890646483,
-0.10747595549729139,
-0.796073760673316
] | {
"n_parameters": 4,
"n_qubits": 6,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 108 |
9c17189069c29dbfeba70f5c04497777 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1927, 1799], "expectation_value": -14.66844025528889, "params": null, "bitstrings": ["00001111000", "00011111000"], "total_optimization_steps": 100, "probabilities": [0.21177326094302615, 0.23189656069005538], "optimization_time": 281.61540389060974} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + 1.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(3)) + -2.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00011111000"], "largest_eigenvalue": 31.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(0.005141428457780879) q[0];
h q[1];
h q[2];
ry(0.2872707904827063) q[2];
cx q[1], q[2];
ry(-0.2872707904827063) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(2.0766683407126703) q[1];
ry(-0.005141428457780879) q[0];
cx q[2], q[0];
ry(0.2983806401612149) q[2];
rz(-p... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIZIZIIII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIZIIII",
"IIIZIIIZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIIIIII... | [
-1.5,
-1.5,
0.5,
-3,
1,
-3,
1.5,
-3,
1,
-3,
1.5,
-2.5,
-3,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-2,
-2,
1,
-2,
1.5,
0.5,
0.5,
0.5
] | 0.970073 | [
0.04208779654901066,
-1.7226504351569891,
-2.4311020643401897,
-1.6946103265956975,
-1.2992192993201566,
-0.019149843846217193,
-0.026806469370112516,
-1.5758523135532292,
0.0300250061369796,
0.5745415809654126,
2.0766683407126703,
0.05724821539921715,
0.0027932204690385943,
0.010282856915... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -26,
"target_ratio": 0.97,
"target_value": -25.22
} | 334 |
d50e0db5f45433c1a809eaa1f116bf10 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"sour... | {"states": [233, 232], "expectation_value": -3.728755696461362, "params": [[[-0.017400000000000002, -0.3126], [0.5857, -0.0025], [0.5459, 0.0114], [0.6016, -0.003], [-0.0173, -0.31010000000000004], [0.5952000000000001, 0.0032], [0.4768, -0.069], [-0.0011, 0.2833], [0.5086, 0.048400000000000006]], [[-0.0218, 0.3129], [0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(3) + -1.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["101010110", "100010111", "111010010", "000111101", "110010011", "100101101"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(3.0590250296729318) q[0];
ry(0.21422946824790406) q[0];
rz(2.669308561624347) q[0];
rz(-2.030900114927137) q[1];
ry(2.7050918611253363) q[1];
rz(1.1368641739754803) q[1];
rz(2.1864900073509084) q[2];
ry(2.8666078346906065) q[2];
rz(-1.0064991319682401) q[2];
rz(-1.86... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"IIZIIIIZI",
"ZIIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1,
-1,
-0.5,
0,
0,
-1
] | 0.97213 | [
0.37900921259061454,
-0.44927015090253014,
1.160809338053706,
0.12204414659809584,
0.996512750890036,
0.08963940247841565,
0.7863848305193494,
0.012028846896626658,
0.052513619461249404,
-0.09608328936096515,
0.8056131840798126,
0.09352156179168175,
0.20838376663667513,
-0.1055886700515574... | {
"n_parameters": 48,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
206b6c7126e1a43a7c0a57973e02662d | max_flow | adaptive_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": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [123, 119], "expectation_value": -6.396069375875401, "params": null, "bitstrings": ["110000100", "110001000"], "total_optimization_steps": 72, "probabilities": [0.08999310077217346, 0.8309706613940097], "optimization_time": 102.99661064147949} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7716469204925558) q[0];
h q[1];
ry(-0.419743548754394) q[1];
h q[2];
cx q[2], q[1];
ry(0.419743548754394) q[1];
cx q[2], q[1];
ry(-0.3394805577791961) q[1];
ry(1.0930006028280734) q[2];
h q[3];
ry(1.59285799405076) q[3];
rz(-pi) q[4];
ry(-3.136526372442517... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIZIIIZI",
"IIIIIIZZI",
"IIIZIIZII",
"IIIIZZIII",
"IIIZIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"ZIIZIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIZZIIIII",
"IIZIIIIIZ",
"IZZIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"... | [
-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,
-1,
0.5,
1,
1.5,
0,
1.5,
1.5,
-0.5
] | 0.979066 | [
1.59285799405076,
1.5261005232355722,
-1.5432938409851116,
-1.35113857066744,
0.770395955888187,
-0.4800519968211978,
0.6181638241406239,
-0.17087313757605851,
-0.839487097508788,
0.8636913290500219,
-0.6789611155583922,
0.4586185475561028,
-0.41596033641871777,
-0.0189624931872691,
0.18... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
199774378666556344 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 3], [1, 5], [3, 5], [3, 4], [4, 5], [0, 4]]} | {"states": [36, 37], "expectation_value": -0.005791841839720008, "params": [[[1.6014000000000002, 0.0034000000000000002], [1.5124, 0.0017000000000000001], [1.4933, 0.008700000000000001], [1.6264, 0.0061], [1.5348000000000002, 0.0078000000000000005], [1.5949, 0.0005]]], "bitstrings": ["011011", "011010"], "total_optimiz... | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.0836457492114554) q[0];
h q[1];
ry(0.7104814123738387) q[1];
h q[2];
h q[3];
ry(-0.0836457492114554) q[3];
h q[4];
cx q[4], q[0];
ry(0.0836457492114554) q[0];
cx q[4], q[0];
ry(-0.9261070341127813) q[0];
ry(1.1975708719103555) q[4];
h q[5];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IIZIZI",
"ZIZIII",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IZIIIZ",
"IIZIII",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.970685 | [
-0.1672914984229108,
0.9244570557291099,
-0.6307856460033063,
-0.542779959269995,
1.4802823378717442,
1.4209628247476773,
-0.6291214731887191,
0.5462276323624908,
-1.1924686948088452,
0.24360221744679178,
-0.5906427762189499,
0.466112196383633,
0.3340614585924717,
-0.3775925970186493,
-0... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 15 |
58c03faa30d0c8774100cfa24f25fe60 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [511, 499], "expectation_value": -1.3462750560956083, "params": [[0.0745], [-0.0674]], "bitstrings": ["000000000", "000001100"], "total_optimization_steps": 10, "probabilities": [0.0032066577563902806, 0.0032066577563902823], "optimization_time": 0.6549911499023438} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["000000000", "000001100"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.7412757969131151) q[0];
h q[1];
cx q[1], q[0];
ry(-0.7412757969131151) q[0];
cx q[1], q[0];
ry(1.451801905468078) q[0];
ry(0.5423029351916456) q[1];
h q[2];
ry(1.4825515938262301) q[2];
cx q[2], q[0];
ry(-0.10232302254412881) q[0];
cx q[2], q[0];
ry(0.06280... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-2.5,
0.5,
-2,
1,
-2.5,
-2,
-2,
1,
0.5,
-2.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5
] | 0.954735 | [
1.4825515938262301,
0.5423029351916456,
1.349478882923949,
0.20464604508825762,
0.12561750478083386,
0.20791252357193157,
0.7719955553846846,
0.0638474305037303,
-0.0775918025965658,
1.8489389613820453,
1.7877363284318122,
0.561981111937848,
-0.7164170155935118,
0.258530251077349,
1.5760... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 500 |
-9083996112783762460 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [2, 5, 6], [8, 3], [1, 5], [1, 2], [2, 4], [0, 4], [1, 3, 6], [0, 5, 6], [0, 6, 7], [8, 4], [4, 6]]} | {"states": [455, 335], "expectation_value": -3.987528724584033, "params": null, "bitstrings": ["000111000", "010110000"], "total_optimization_steps": 61, "probabilities": [0.1413004890943094, 0.8347941623055488], "optimization_time": 125.25803971290588} | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["010110000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.054242400574015665) q[2];
cx q[5], q[2];
h q[6];
h q[7];
cx q[7], q[3];
rz(0.7073468000222594) q[3];
cx q[7], q[3];
cx q[7], q[6];
rz(0.054242400574015665) q[6];
cx q[7], q[6];
cx q[3], q[6];
rz(0.05424... | 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(1.5298) 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] = m... | [
"IZIIIZIII",
"IIIZIIZII",
"IZZIIIIII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZIZII",
"IIZIZIIII",
"ZIIIZIIII",
"IZIIIIIIZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"IIIIZIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666663,
0.1666666... | 0.540406 | [
0.7073468000222594,
0.054242400574015665,
0.20973058785642487,
1.3379672464112151,
-0.20926121916356918,
-0.8062836402316588
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -4.000000000000001,
"target_ratio": 0.97,
"target_value": -3.880000000000001
} | 156 |
8c9a3ef3e95b2fc72b0128ec209c5f76 | 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": [783, 779], "expectation_value": -63.99089238949843, "params": [0.2109, 0.0076, 2.305, 0.0019, 2.3009, 0.006200000000000001, 1.0287, 0.0019, 0.0728, 0.006500000000000001, 1.2322, 0.0037, -0.0026000000000000003, 0.0012000000000000001, 2.2964, 0.0023, 1.4847000000000001, 0.0025, 2.3029, 0.009300000000000001, 2... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(0) @ Z(9)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(10) @ Z(5)) + 1.0 * Z(3) + 17.5 * Z(2) + 17.5 * Z(1) + -3.0 * Z(4) + 13.0 * Z(7) + 2.5 * Z(5) + 4.5 * Z(8) + -1.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["10011110100"], "largest_eigenvalue": 152.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.03773474654816855) q[0];
rz(-0.5425150782429835) q[0];
rx(3.457447082600217) q[1];
rz(-0.31049332464755447) q[1];
rx(3.1817941167328185) q[2];
rz(-0.21222914995783732) q[2];
rx(-0.27122405958736956) q[3];
rz(-0.31049332464755447) q[3];
rx(-0.1578417990700123) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIIIZZI",
"IIIIIIZIIZI",
"IIIZIZIIIII",
"IIZIIIIIZII",
"IIZZIIIIIII",
"IZIIIIIIIIZ",
"ZIIZIIIIIII",
"ZIIIIZIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
1,
17.5,
17.5,
-3,
13,
2.5,
4.5,
-1.5,
-2.5,
10,
-10
] | 0.972574 | [
0.037734746548168545,
-0.8793152284167651,
3.457447082600217,
-0.31049332464755447,
3.1817941167328185,
-0.21222914995783732,
-0.27122405958736956,
-0.1578417990700123,
-0.3911767006230161,
-0.3053757341318998,
0.2158082820912535,
0.07371800129976497,
0.5324898827295579,
3.1292382882695695... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 19 |
8b31acb00860fd38d33d25290c3ee609 | 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": 2, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -27.037839111046644, "params": [0.0038, -0.2896, 0.0027, 0.0034000000000000002, 0.0024000000000000002, -0.5212, 0.0024000000000000002, 0.0024000000000000002, 0.8074, 0.1288, 0.8018000000000001, 0.0076, -0.0023, -0.5723, -0.0023, 0.0071, 0.0026000000000000003, -0.595100000000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(7)) + -1.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + -1.5 * (Z(9) @... | 5 | 11 | 1 | {"smallest_eigenvalues": [-28.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.08338990451904824) q[0];
rz(-0.4191470042767875) q[0];
rx(-0.04421785417893571) q[1];
rz(-0.4614710471928287) q[1];
rx(1.0110601136096105) q[2];
rz(0.5960200108506202) q[2];
rx(-0.051957140570784086) q[3];
rz(-0.5009835297185532) q[3];
rx(-0.018855186438726374) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIZIIIIIIZ",
"IIZIIIIIIIZ",
"IIZIIZIIIII",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIZIIIIIIZI",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IZIIIIIZIII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IIIIIZZII... | [
-0.5,
-0.25,
-1.5,
-0.25,
-1.25,
-0.75,
-0.75,
-1,
-1,
-0.5,
-0.75,
-0.25,
-0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.25,
-1.25,
-1.5,
-1.5,
-1,
-2.5,
-0.5,
-1.5,
-1.25,
3.75,
-1.5,
-1.5,
-0.25,
0.75,
-0.25,
-0.75,
0,
1,
-2.25,
-3.75,
0.25,
0.75,
3... | 0.973559 | [
-0.08338990451904824,
-0.40975366204555314,
-0.0442178541789357,
-0.5019674328086567,
1.0110601136096102,
0.2962304696469623,
-0.05195714057078409,
-0.4425569958245307,
-0.018855186438726374,
-0.6490779808303808,
0.0012274868765252411,
-0.4256824357124793,
-0.45725780993613246,
-0.77136368... | {
"n_parameters": 42,
"n_qubits": 11,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 5 |
501477738601b9a56009fb34d8274268 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [36, 27], "expectation_value": -0.49998649079316027, "params": [[-0.0023, 0.0025, 0.2647, 0.2651, -0.0025, -0.0023], [0.9074000000000001, 0.0001, -1.1055000000000001, 0.006500000000000001, 0.008400000000000001, -0.9224], [-0.8919, 0.0055000000000000005, 0.2646, 0.0037, 0.0015, 0.9164]], "bitstrings": ["01101... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 9 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022432742226757757) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.3384255533536563) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-0.2041040411348823) q[3];
cx q[1], q[3];
rz(1.4620623217131428) q[1];
rx(-1.1506042763506248) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIZIZI",
"IZIZII",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
-0.25,
-1.25,
-1,
-1.25,
0.5,
-0.5,
-0.5,
2,
-0.25,
0.5,
-1,
-0.75,
-0.5
] | 0.711879 | [
0.022432742226757757,
-0.3384255533536563,
-0.2041040411348823,
0.7101376461721758,
-0.6732289857497842,
1.4620623217131428,
-0.4251460208844991,
-1.1506042763506248
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 188 |
4b4397a678de86b6a6c2f25f89bcf5fb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -26.275133362608557, "params": [[[-0.0857, -0.5933], [0.0022, 0.0148], [0.0026000000000000003, 0.003], [0.0022, -0.0025], [0.0026000000000000003, 0.0023], [0.0026000000000000003, 0.0025], [0.002, -0.0027], [0.0024000000000000002, 0.0028], [0.0028, 0.0021000000000000003], [0... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(9)) + -1.75 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(1... | 15 | 12 | 3 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.6925340878661201) q[0];
ry(0.15377653883636658) q[1];
ry(0.011333064510222257) q[2];
ry(0.05582332400633584) q[3];
ry(-0.07095254139789554) q[4];
ry(0.07104597997585968) q[5];
ry(-0.2431928771404393) q[6];
ry(0.10018483322593284) q[7];
ry(0.0040748563412373075) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIZIIIIIII",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"ZIIIIIIZIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IIIIIZIIIIZI",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIZIZIII... | [
-0.75,
-0.25,
-0.75,
-1.75,
-0.5,
-1.5,
-0.5,
-1.25,
-1.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.5,
-1.25,
-0.75,
-1.75,
-1.75,
1.25,
-1.5,
-1,
-0.5,
-1.25,
-2.25,
-0.25,
-1,
-1,
-0.25,
-0.5,
3,
-0.75,
0.25,
0.25,
2.75,
-1.25,
-1.75,
-2,
1.25
] | 0.971736 | [
-0.6925340878661201,
0.15377653883636658,
0.011333064510222257,
0.05582332400633584,
-0.07095254139789554,
0.07104597997585968,
-0.2431928771404393,
0.10018483322593284,
0.0040748563412373075,
0.00692315108437069,
-0.02916120619888194,
-0.012479253586365549,
-0.12143423258375118,
0.0865940... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 69 |
0850e29522f021e32579dc334d85e860 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -24.701391442495737, "params": [0.0055000000000000005, 0.0047, -0.0193, 0.0166, 0.0049, 0.0013000000000000002, -1.6278000000000001, -1.0366, 0.0013000000000000002, 0.0024000000000000002, 0.0151, 0.0089, -0.005, 0.019100000000000002, -0.001, -0.0015, -0.6057, 0.605, 0.0007, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(6)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(6)) + -0.25 * (Z(9... | 13 | 12 | 2 | {"smallest_eigenvalues": [-25.5, -25.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -24.5, "smallest_bitstrings": ["111011110101", "111011110111"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0356576728469645) q[0];
rz(2.1933690433154984) q[0];
rx(0.043305228017023314) q[1];
rz(-3.0135105459137863) q[1];
rx(0.04330522801702331) q[2];
rz(-2.792620041059708) q[2];
rx(-1.8649956747532443) q[3];
rz(1.34069012422564) q[3];
rx(-0.007285967940362541) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIIIIIIIZZI",
"IIIIIZIIIZII",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"ZIZIIIIIIIII",
"IZIIIZIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-1,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-1.5,
-0.5,
-1,
-0.5,
-1,
1.75,
-0.25,
-1.5,
3.5,
-0.25,
-1.5,
-1,
2.5,
-2.5,
-3.5,
-2.75,
-1,
2.5,
4,
0
] | 0.97121 | [
0.0356576728469645,
0.6225727165206019,
0.043305228017023314,
1.6988784344709034,
1.9197689393249813,
-1.8649956747532441,
-0.23010620256925718,
-0.007285967940362542,
1.6560612151457466,
1.7390632523033878,
-0.035427448272039704,
1.7464415332933005,
0.08956193821743699,
1.4411445446978155... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 27 |
1e9e9fd16803043bf14602f8d69de988 | 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": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -0.6327969882254336, "params": [[0.0757], [-0.0816]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0015011665654888085, 0.0015196181371567859], "optimization_time": 2.7215888500213623} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(3)) + -0.25 * (Z(6) @ Z(7)) + -1.75 * (Z(6) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.05414323265973762) q[0];
ry(0.25658045924543904) q[1];
ry(0.0007728287389536497) q[2];
ry(0.03247258538536701) q[3];
ry(0.10848243096668193) q[4];
ry(-0.00999716756016167) q[5];
ry(-0.043378559085624116) q[6];
ry(-0.02101291722104164) q[7];
ry(0.45229664669245556... | 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;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"IIZIIIZIII",
"IIZIIIIIZI",
"IIIIIIZZII",
"IIZZIIIIII",
"IIIZIIIZII",
"IIIIZIZIII",
"IIZIZIIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IIIIIZIZII",
"IIIZIZIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
-0.25,
-0.5,
0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-1.75,
-0.75,
-1,
-1.75,
-1,
-0.25,
-0.5,
-0.25,
-0.25,
0,
-0.25,
-1,
0,
0.25,
0,
0.75,
-1.25,
1.5,
0
] | 0.970773 | [
-0.05414323265973762,
0.25658045924543904,
0.0007728287389536497,
0.03247258538536701,
0.10848243096668193,
-0.00999716756016167,
-0.043378559085624116,
-0.02101291722104164,
0.45229664669245556,
1.4756379213269892,
-0.043360514603535065,
2.0969151038607796,
-0.029803475753634016,
-0.04541... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 59 |
f62281c68165f3e4d14cdd3e07ccca91 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [80, 43], "expectation_value": -0.7603537889196519, "params": [[-0.0609, -0.042100000000000005, 0.019200000000000002], [0.0745, 0.06770000000000001, 0.026500000000000003]], "bitstrings": ["0101111", "1010100"], "total_optimization_steps": 10, "probabilities": [0.011249631855966715, 0.012445186898311816], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + -1.0 * Z(1) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010100"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.11110714934458205) q[0];
rz(1.5653773879816963) q[0];
rx(0.2678907842773557) q[1];
rz(1.8739954800679133) q[1];
rx(-0.2103826577110534) q[2];
rz(1.6030227083907995) q[2];
rx(0.45384505780804696) q[3];
rz(2.0339185281696217) q[3];
rx(0.23201361940230053) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIIZZII",
"IZIIZII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
-0.5,
-1,
-0.5,
-1,
-1.5
] | 0.9716 | [
-0.11110714934458206,
-0.005418938813200692,
0.26789078427735563,
0.30319915327301716,
-0.21038265771105338,
0.0322263815959039,
0.4538450578080469,
0.4631222013747248,
0.23201361940230053,
0.7097441236500686,
0.1588386398178482,
-0.4391835547948592,
0.33551123617620476,
-0.270766773880199... | {
"n_parameters": 120,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 171 |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [62, 31], "expectation_value": -1.6379420066844999, "params": [[0.0013000000000000002, -0.031400000000000004, -0.0475, -0.0608], [-0.0455, -0.0041, 0.043000000000000003, 0.053200000000000004]], "bitstrings": ["000001", "100000"], "total_optimization_steps": 10, "probabilities": [0.02450618852324248, 0.025821... | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.208567032423215) q[0];
h q[0];
rx(1.570796298634827) q[1];
h q[1];
rx(-0.49515335572932806) q[2];
h q[2];
rx(-0.5987634513077912) q[3];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZIIZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-1,
-3,
1.25,
-1.5,
-1,
-0.75,
-0.75,
-0.5,
-0.5,
-3.25,
-0.25,
1.5,
-1.5,
1.75,
1.75
] | 0.342857 | [
-0.208567032423215,
1.570796298634827,
-0.49515335572932806,
-0.5987634513077912,
-0.14322643594920906,
1.9846908429612853,
-0.6596876406565997,
1.5707962265194688,
-4.4145772708167875e-8,
-0.2881256931633693,
-0.275070543428923,
0.6878636309125641
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 366 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [0, 1], "expectation_value": -8.733464610027747, "params": [[[0.2144, -0.3593], [0.0025, 0.5407000000000001], [-0.0031000000000000003, 0.5149], [0.8279000000000001, 0.0024000000000000002]], [[0.2189, 0.0034000000000000002], [0.0025, 0.0037], [-0.003, 0.0014], [0.8318000000000001, 0.0047]]], "bitstrings": ["1... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
b72451fd8beb69606a84f4be9a392c11 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.24985956669714, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 25.16980004310608} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "11000010", "10000010"], "largest_eigenvalue": 13.0} | 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(4.5847965068196375e-09) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(-0.047144458058862276) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(4.5847965068196375e-09) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(4... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IZIIIZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIII... | [
-1,
-1.25,
-0.75,
-0.75,
-0.25,
-1,
-1,
-1,
-0.75,
-1,
-1,
2.75,
-0.75,
-1,
-0.5,
-0.75,
0.75,
-0.25,
0.25,
-3,
1.75,
0.75,
1,
-1.25
] | 0.897762 | [
4.5847965068196375e-9,
-0.047144458058862276,
1.958412113975725e-8,
-0.5570436665027615,
-6.440595128275094e-8,
-5.3799991138860575e-8,
1.5707963359197723,
1.5707963772985278,
-1.5707963090253823,
1.5707963669799336,
1.570796306035255,
-1.570796301813503
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 287 |
-8429544682563830600 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 3], [2, 6]]} | {"states": [114, 116], "expectation_value": -0.020963428289830013, "params": [[0.0656], [-0.06470000000000001]], "bitstrings": ["0001101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.00814488097427978, 0.00814488097427978], "optimization_time": 0.46161937713623047} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * Z(4) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(5) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333, -1.3333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.47299782449428845) q[0];
h q[1];
h q[2];
ry(-0.47299782449428845) q[2];
h q[3];
cx q[3], q[0];
ry(0.47299782449428845) q[0];
cx q[3], q[0];
ry(-0.7980413707609256) q[0];
ry(1.0587418772324133) q[3];
h q[4];
ry(-0.23888290438511148) q[4];
cx q[1], q[4];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIZIIZI",
"IZZIIII",
"IZIIIZI",
"IIIZIIZ",
"ZIIIZII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0,
0,
0,
0
] | 0.979403 | [
-0.9459956489885769,
1.0587418772324133,
-0.6707101543233787,
0.3687804469474488,
0.3442124733892047,
0.8200024558787959,
-0.25466243287509394,
-0.33717595807874007,
0.22026565679129953,
0.09479014137950745,
0.43550041429008773,
-0.12823239513003976,
-0.47776580877022296,
-0.05466719922609... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -1.3333333333333333,
"target_ratio": 0.97,
"target_value": -1.2933333333333332
} | 7 |
69c9ce86bfac888cdfb5b3c0db4fe232 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [995, 1023], "expectation_value": -0.8216474171355801, "params": [[-0.0517], [0.061500000000000006]], "bitstrings": ["0000011100", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0013419878202866804, 0.0013647498901726773], "optimization_time": 1.791438341140747} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(2)) + -1.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4... | 5 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.04688792291588291) q[0];
h q[1];
cx q[1], q[0];
ry(0.04688792291588291) q[0];
cx q[1], q[0];
ry(1.420770288997853) q[0];
ry(0.5923165789607414) q[1];
cx q[0], q[1];
ry(-0.2982489883402873) q[1];
cx q[0], q[1];
ry(0.10583350094341104) q[0];
h q[2];
ry(0.45... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x1) q[3];
cx q[1]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIIIIIZII",
"ZIIIIIIZII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIIIIIZII"... | [
-2,
1,
-2,
-2,
1,
-2,
-2,
0.5,
-2,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.977102 | [
-0.09377584583176582,
0.36648298924594364,
1.2514927454220992,
0.29406759062045407,
1.420770288997853,
1.5299342571375198,
0.40889228059382626,
1.5156112368399712,
0.9032643310113615,
1.436091093973888,
-0.03458643540790102,
0.7348349611282616,
0.5964979766805746,
0.03843323259044275,
0.... | {
"n_parameters": 41,
"n_qubits": 10,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 94 |
-6567492544936906166 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 4, 7], [1, 2, 4], [8, 3, 4], [8, 5, 6, 7], [0, 1, 2, 6, 7, 8], [1, 5, 7], [0, 1, 4, 7], [3, 4, 6, 7], [1, 3], [8, 2, 5, 6], [0, 8, 4, 6], [2, 3, 7]]} | {"states": [151, 215], "expectation_value": -3.0663807896070328, "params": null, "bitstrings": ["101101000", "100101000"], "total_optimization_steps": 50, "probabilities": [0.11172100995325501, 0.7770569765879201], "optimization_time": 127.24731230735779} | 0.2 * (Z(8) @ Z(0)) + 0.25 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(8)) + 0.2 * (Z(7) @ Z(0)) + 0.19999999999999998 * (Z(7) @ Z(8)) + 0.25 * (Z(7) @ Z(4)) + 0.11666666666666667 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(4)) + 0.2833333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.116666666666668, "smallest_bitstrings": ["100101000"], "largest_eigenvalue": 11.499999999999998} | 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];
h q[7];
h q[8];
cx q[0], q[8];
rz(0.023227401422486908) q[8];
cx q[0], q[8];
cx q[0], q[4];
rz(0.018370037013916166) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(0.023227401422486908) q[7];
cx q[0], q[7];
cx q[0], q[1];
... | 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(1.5651) 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] = m... | [
"ZIIIIIIIZ",
"IIIIZIIIZ",
"ZIIIZIIII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZIZ",
"ZIIIIIZII",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIZZI",
"ZIIIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"ZIIZIIIII",
"... | [
0.2,
0.25,
0.3333333333333333,
0.2,
0.19999999999999998,
0.25,
0.11666666666666667,
0.03333333333333333,
0.25,
0.2833333333333333,
0.03333333333333333,
0.11666666666666667,
0.16666666666666666,
0.19999999999999998,
0.19999999999999998,
0.16666666666666666,
0.25,
0.25,
0.5,
0.16... | 0.97303 | [
0.023227401422486908,
0.018370037013916166,
0.027536139129365117,
-0.04250742885351516,
-0.04154292473066346,
-0.0019900334451512305,
0.019798329522964887,
-0.17335205491591923,
0.021948481161254044,
1.561800867273006,
-1.5604414496768224,
-1.222053273863755,
-1.432888603289409,
-1.2967035... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -3.166666666666668,
"target_ratio": 0.97,
"target_value": -3.0716666666666677
} | 114 |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [33, 97], "expectation_value": -5.071943097586519, "params": null, "bitstrings": ["1011110", "0011110"], "total_optimization_steps": 38, "probabilities": [0.13262953598809551, 0.6775037254021123], "optimization_time": 41.62409067153931} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-1.108879766134531) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3516677727460137) q[2];
h q[3];
ry(-1.593249089494895) q[3];
h q[4];
ry(-0.3516677727460137) q[4];
cx q[1], q[4];
ry(0.3516677727460137) q[4];
cx q[1], q[4];
ry(1.2846215168941915) q[1];
ry(-0.686288719035... | 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", ... | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"ZIIIZII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.975713 | [
-1.593249089494895,
-0.7610973356940154,
-0.7033355454920274,
1.1866022252764412,
-0.43584830422961574,
0.19603858323550014,
0.3391240726814657,
-0.7546312527850684,
-0.5008808296114101,
0.5983615500672997,
1.8625187327051302,
-0.365480050857801,
-0.07502380661129479,
-0.03747054021570255,... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 11 |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [474, 218], "expectation_value": -17.99157796297611, "params": [[-0.0313, 0.0011], [0.0625, 0.0656]], "bitstrings": ["000100101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005328037040298418, 0.006783238582877807], "optimization_time": 3.4683287143707275} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 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(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0483335131627427) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0483335131627427) q[2];
cx q[0], q[2];
rz(1.4825487746828614) q[0];
rx(1.5903212513051308) q[0];
h q[3];
cx q[2], q[3];
rz(0.0483335131627427) q[3];
cx q[2], q[3];
h q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"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,
8.5,
5,
10.5,
5,
22,
15,
2,
17,
6
] | 0.974572 | [
0.0483335131627427,
-1.4734969215830827,
1.482548774682861,
-1.630158374978085,
-1.5196549872298504,
-1.6812432412868732,
2.1456031315340165,
-1.51463448411913,
1.8480943215643566,
1.5903212513051306
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -82,
"target_ratio": 0.97,
"target_value": -79.53999999999999
} | 49 |
f6494d29a2885917ea72724ca31dc87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -12.69508642161409, "params": [[-0.14170000000000002, 0.2349, 0.1316], [0.273, -0.2412, -0.22990000000000002]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 30, "probabilities": [0.0721880554386668, 0.07399733116144962], "optimization_time": 30.19326734... | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10189812843066029) q[0];
rz(-0.15089983411608365) q[0];
rx(0.012949681207840832) q[1];
rz(-0.3863298561993709) q[1];
rx(-0.2249217523066944) q[2];
rz(-0.07319496732861097) q[2];
rx(0.06993357002108799) q[3];
rz(-0.2465905830606978) q[3];
rx(0.08546781518194248) 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",
"ZIZIIIIII",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"... | [
-0.75,
-1.25,
-0.5,
-0.25,
1.5,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
-1.25,
-2,
-1.25,
-0.75,
-0.25,
-1,
-2,
0,
-0.25,
1.5,
0.75,
-5,
1,
1.5,
-0.75,
1.25
] | 0.979947 | [
-0.10189812843066029,
-0.20692645873723892,
0.012949681207840832,
-0.3047185877811311,
-0.22492175230669437,
-0.05003070120281442,
0.06993357002108799,
-0.26060474940613737,
0.08546781518194248,
-0.4558542881777824,
0.3664614763165901,
-0.49251998763677596,
-0.20127128571451497,
-0.1535688... | {
"n_parameters": 116,
"n_qubits": 9,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 7 |
e72ecea678989eec924d7e1b79176beb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capac... | {"states": [1022, 511], "expectation_value": -19.130616067144192, "params": [[[0.9749000000000001, -1.095], [-0.0024000000000000002, 1.1592], [-0.0024000000000000002, -0.0024000000000000002], [-0.0021000000000000003, 0.002], [-0.0028, -0.0023], [-0.003, -0.0031000000000000003], [-0.003, -0.0032], [-0.0019, -0.002400000... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + 3.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9... | 15 | 10 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
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];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.7224572709532883) q[0];
h q[0];
rx(1.570796247276... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZZIIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIZIIIZII",
"IZIIIIZIII"... | [
-0.75,
-1.25,
-0.25,
-0.5,
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
-0.75,
3.75,
-0.5,
-0.5,
-1.25,
-1.25,
-1,
-0.5,
-1.5,
-1,
-0.5,
-1.25,
-0.75,
-1.75,
-0.25,
-1,
-0.5,
1.25,
-0.25,
0,
-2.5,
0.75,
0.5,
0,
-1.25,
0.5,
1
] | 0.126582 | [
0.7224572709532883,
1.5707962472760184,
-0.7412410420022001,
-0.26019260835917546,
-0.2768573823525529,
0.12656278129947215,
0.12651672998882602,
0.8502415966308584,
1.57079623009043,
0.053185711379474594,
-0.19994919917546483,
1.5707962731358462,
-1.173977510197994e-7,
-0.0897681624066922... | {
"n_parameters": 18,
"n_qubits": 10,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 376 |
30ba64f2314d12dd7a4bba52fce6e2f0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target": 4}, {"capaci... | {"states": [21, 31], "expectation_value": -5.074334699257932, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 37, "probabilities": [0.11261830073505118, 0.7491392973575856], "optimization_time": 25.511452674865723} | -0.75 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -1.75 * (Z(2) @ Z(4)) + -0.75 * (Z(1) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + 0.75 * Z(1) + 0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.25, "smallest_bitstrings": ["111110", "101110", "100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.013998913927963777) q[0];
rz(-0.17149443553368027) q[0];
rx(0.9176296645850912) q[1];
rz(-0.008414519479911217) q[1];
rx(-0.07133329756888002) q[2];
rz(-0.28009948850485156) q[2];
rx(-0.07133329756888002) q[3];
rz(-0.21658522262626537) q[3];
rx(0.050114731907889454... | 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(1.5486) 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];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIIIZI",
"ZIIIII"
] | [
-0.75,
-1,
-0.25,
-1.75,
-0.75,
-1,
1.25,
0.25,
-0.25,
-0.5,
-0.5,
0.75,
0.25
] | 0.974597 | [
0.013998913927963777,
-0.17149443553368027,
0.9176296645850912,
-0.008414519479911217,
-0.07133329756888002,
-0.28009948850485156,
-0.21658522262626537,
0.050114731907889454,
0.09333842897412256,
2.434106439818495,
0.40266511199623956
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 32.08690333366394} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 15.25} | 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(0.1019184672717538) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.15303627208319998) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.2675488550582529) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.1019184672717538) q[5];
... | 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", "... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIIZ",
"IZIZIII",
"IZIIIIZ",
"IZZIIII",
"ZIIZIII",
"ZIIIIIZ",
"ZIZIIII",
"IIZIZII",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIIIZI"
] | [
-1.25,
-2,
-1.5,
-1.25,
-0.75,
-1,
-0.5,
3.75,
-0.25,
-1.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1.5,
-0.25,
-0.75,
2.25,
2.5,
-0.5,
-1.75
] | 0.971263 | [
0.1019184672717538,
0.15303627208319998,
0.2675488550582529,
0.46476512296611683,
0.035813695834919695,
0.09530007768597705,
-0.15852781068968608,
0.07033331248619396,
0.7362223705722715,
-0.13317956850501755,
0.8131478071893592,
1.5095742138254278,
0.1498296177374479,
0.3121760974810467,
... | {
"n_parameters": 48,
"n_qubits": 7,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 235 |
9ab53f7aa1b34f991ec1ef091b962aaf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9}, {"source": 4, "target":... | {"states": [0, 511], "expectation_value": -15.133717754944668, "params": [[[0.002, 1.6091], [0.0024000000000000002, 0.002], [0.0023, 0.0018000000000000002], [0.002, 0.0026000000000000003], [0.002, 0.002], [0.0025, 0.0031000000000000003], [0.0028, -0.0029000000000000002], [0.0021000000000000003, 0.0025], [-0.0022, 0.001... | -1.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(8)) + 0.5 *... | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000", "110000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-1.5707963110076806) q[1];
cx q[0], q[1];
rz(0.6832137086642707) q[0];
rx(-0.9111440687134774) q[0];
rz(0.6832138826884693) q[1];
rx(-0.9111440687134775) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.8732269411565464) q[2];
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] 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] ... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIZII",
"ZIIIZIIII",
"ZIIIIIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIZIZIIII",
"ZIZIIIIII",
"IIZIIZIII",
"ZIIZIIIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"ZZIIIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"... | [
-1.5,
-2,
0.5,
-2,
-2,
0.5,
0.5,
0.5,
-2.5,
0.5,
0.5,
-2,
0.5,
-2.5,
0.5,
-2.5,
-2,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.563858 | [
-1.5707963110076806,
-0.8732269411565464,
-0.17109252809281125,
-0.616256738806983,
0.6832137086642708,
0.683213882688469,
-0.9111440687134776
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 216 |
52dd575f6b3baf37cbe77a1b25d4d01f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -18.883026670637626, "params": [0.0129, 0.0761, 0.0004, 0.12660000000000002, -0.0036000000000000003, 0.2351, 0.00030000000000000003, 0.23470000000000002, 0.3053, -0.0014, 0.3063, -0.0013000000000000002, -0.008700000000000001, 0.11850000000000001, -0.0015, 0.1607, 0.0059, 0.2247... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(0)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.75 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(... | 6 | 11 | 3 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["11011111111"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.0010366139599990302) q[0];
rz(0.17299554829095776) q[0];
rx(0.010765513396717694) q[1];
rz(-0.5742690940089137) q[1];
rx(1.4280640887520941) q[2];
rz(0.38644664951705954) q[2];
rx(0.010765513396717694) q[3];
rz(-0.5574917078191923) q[3];
rx(0.0988303871437863) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"ZIIIIIIIIZI",
"ZIIIIIIIIIZ",
"IIIIIIIIZIZ",
"ZIIIIIIIZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIZIIZIIII",
"IIIIIZIIIZI",
"ZIIIIZIIIII",
"IIIZIZIIIII",
"IIIIZIIZIII",
"ZIIIZIIIIII",
"IIIIZZIIIII",
"IIZZIIIII... | [
-1,
-1.5,
-0.75,
-0.25,
-1,
3,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-0.75,
-1,
-1,
-0.25,
-1.5,
-0.25,
-1.25,
-0.25,
-0.75,
-0.75,
-2.75,
-0.25,
-0.25,
0,
2.25,
0.5,
2,
0.25,
0.5,
-1,
-1.25
] | 0.978666 | [
-0.0010366139599990304,
0.08481599312903582,
0.010765513396717694,
-0.556260298584222,
1.4280640887520941,
0.021763812815253587,
-0.5050204408357789,
0.09883038714378628,
-0.3995705642195091,
0.06388929421609922,
-0.4858503858731281,
0.11544781148096178,
-0.6883952528049914,
-0.59943664468... | {
"n_parameters": 40,
"n_qubits": 11,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 11 |
4700601e722e5f0a0c40acc2968ffc97 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}]} | {"states": [27997, 23283], "expectation_value": -2.106987704569195, "params": [[0.1514], [-0.1406]], "bitstrings": ["001001010100010", "010010100001100"], "total_optimization_steps": 20, "probabilities": [8.629524217390184e-05, 8.629524217390188e-05], "optimization_time": 45.08593988418579} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999982, "smallest_bitstrings": ["010010100001100"], "largest_eigenvalue": 28.500000000000025} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | 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[15] c;
qubit[15] 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];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"IIIIIZIIIIIZIII",
"IIIIZIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIZIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1.25,
1.25,
1.25,
0.75... | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
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0.5740763702252564,
0.27498873776268346,
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0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
37dd861ffe467d8187ee76bb8660b740 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [2047, 1023], "expectation_value": -45.77577291544803, "params": [[[1.6416000000000002, 0.0028], [0.0023, 0.0077], [-0.0026000000000000003, 0.0], [0.0023, 0.0067], [-0.0025, 0.0002], [-0.0024000000000000002, 0.009300000000000001], [-0.0025, 0.007], [-0.0026000000000000003, 0.0054], [-0.0023, 0.006], [-0.0026... | 0.5 * (Z(0) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -3.0 * (Z(7) @ Z(5)) + 1.5 * (Z(1) @ Z(6)) + -3.5 * (Z(1) @ Z(5)) + 1.0 * (Z(1) @ Z(7)) + -3.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(1)) + -4.0 * (Z(9) @ Z(6)) + 1.5 * (Z(9) @ Z(5)) + -3.5... | 2 | 11 | 1 | {"smallest_eigenvalues": [-47.5, -47.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -46.5, "smallest_bitstrings": ["10000000000", "10011000000"], "largest_eigenvalue": 50.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.8748906536161518) q[0];
rz(-0.22567732286068082) q[0];
rx(-0.04966509671490005) q[1];
rz(0.15612178831266954) q[1];
rx(0.04009480756019911) q[2];
rz(0.15360727791353954) q[2];
rx(-0.04966509671490005) q[3];
rz(0.08848184681843926) q[3];
rx(-0.08277227146181461) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIIIZIIIIZI",
"IIIIIZIIIZI",
"IIIZIIIIIZI",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"IIZIIIIIIZI",
"IZIIZIIIIII",
"IZIIIZIIIII",
"IZIZIIIIIII",
"IZIIIIIIIZI",
"IZZIIIIIIII",
"IIIIZIIIZII",
"IIIIIZIIZ... | [
0.5,
-1.5,
-3.5,
-3,
-3,
1.5,
-3.5,
1,
-3.5,
1,
-3,
1,
-4,
1.5,
-3.5,
-4,
-3,
-4,
1,
0.5,
-3,
1,
1.5,
1.5,
0.5,
1,
-3,
-3.5,
-3.5,
-3,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972087 | [
1.8748906536161518,
-0.22567732286068082,
-0.04966509671490005,
0.15612178831266954,
0.04009480756019911,
0.15360727791353954,
0.08848184681843926,
-0.08277227146181461,
0.12528732020224656,
0.06753935350193528,
-0.031301417820640665,
0.08454717083032158,
-0.004437764894981211,
-0.03978706... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -47.5,
"target_ratio": 0.97,
"target_value": -46.074999999999996
} | 5 |
da3c81488557dc57e6e1f0bd43d65336 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [42, 41], "expectation_value": -2.999862368845878, "params": null, "bitstrings": ["010101", "010110"], "total_optimization_steps": 28, "probabilities": [1.7185116648684505e-05, 0.9999311603755043], "optimization_time": 13.690715551376343} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(2.867085271407469) q[0];
rz(0.3043059900979084) q[0];
rx(0.09235165757558533) q[1];
rz(0.9535806604362476) q[1];
rx(-0.1119442096811765) q[2];
rz(1.1846710426102411) q[2];
rx(3.0988563508695517) q[3];
rz(0.5841200851268177) q[3];
rx(0.14325937118774348) q[4];
rz(-1.0... | 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(-1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IIZZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.983007 | [
2.867085271407469,
0.3043059900979084,
0.09235165757558533,
0.9535806604362476,
-0.1119442096811765,
1.1846710426102411,
3.0988563508695517,
0.5841200851268177,
0.14325937118774348,
-1.0539834988881036,
3.200641439537315,
0.13258606659300243
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 12 |
3116498700184054015 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 6, 7], [1, 5], [0, 2, 3, 5, 6], [0, 1, 2, 3], [2, 3, 4, 6], [3, 4, 5, 7], [5, 6, 7], [0, 1, 4, 6, 7]]} | {"states": [219, 211], "expectation_value": -2.027887872792932, "params": null, "bitstrings": ["00100100", "00101100"], "total_optimization_steps": 47, "probabilities": [0.26394795540217064, 0.6608968497024365], "optimization_time": 68.48728966712952} | 0.3 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.3 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.066666666666667, "smallest_bitstrings": ["00101100"], "largest_eigenvalue": 7.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-2.21622661528524) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.3251070687708918) q[2];
h q[3];
ry(1.2483170418018257) q[3];
cx q[3], q[2];
ry(0.3251070687708918) q[2];
cx q[3], q[2];
ry(0.026915640062950802) q[3];
ry(-0.33067017041013946) q[2];
h q[4];
ry(-0.0817300676... | 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(1.5125) 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[... | [
"IIIIZZII",
"IZIIZIII",
"IZIIIZII",
"ZIIIZIII",
"ZIIIIZII",
"ZZIIIIII",
"IIIIZIZI",
"IIIIIZZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIZIZIII",
"IIZIIZII",
"IZZIIIII",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZIIZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIZIIIIZ",
"IIIZZIII",
"IIIZIZI... | [
0.3,
0.21666666666666667,
0.21666666666666667,
0.16666666666666666,
0.08333333333333333,
0.3,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.05,
0.21666666666666667,
0.25,
0.5,
0.13333333333333333,
0.13333333333333333,
0.1,
0.05,
0.1333333333333333... | 0.970677 | [
1.5912442053767384,
1.2483170418018257,
-0.9252937360507164,
0.7997926718910398,
-0.5901485530923094,
0.3221778975097384,
1.0953579725738387,
-0.41342126220924025,
-0.6502141375417836,
0.43454923581071986,
-0.6613403408202789,
0.053831280125901604,
0.1423697936010602,
0.42061884229340646,
... | {
"n_parameters": 41,
"n_qubits": 8,
"optimal_eigenvalue": -2.0666666666666673,
"target_ratio": 0.97,
"target_value": -2.004666666666667
} | 1 |
b54f63c9aa420998f3aab2c366a7745d | 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": [1148, 1132], "expectation_value": -108.87405202513979, "params": [1.3261, 0.0047, 2.5095, 0.0024000000000000002, 1.0944, 0.008700000000000001, 0.0028, 0.0046, 0.8753000000000001, 0.0043, 2.5051, 0.004200000000000001, 2.5003, 0.007, 1.4724000000000002, 0.0017000000000000001, 2.5058000000000002, 0.0077, 2.499... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(0)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(9)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(9)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(7)) + 17.5 * Z(1) ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-154.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -134.0, "smallest_bitstrings": ["101110010011"], "largest_eigenvalue": 245.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.34785554562006843) q[0];
rz(0.014110304184391964) q[0];
rx(3.3763989327658352) q[1];
rz(0.22936439495434732) q[1];
rx(0.28989862628995056) q[2];
rz(-0.361224517407446) q[2];
rx(-0.3019207356157597) q[3];
rz(-0.0783758287109636) q[3];
rx(0.12294859291502225) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIZIIIIZ",
"IIIIIIZZIIII",
"IIZIIIIIZIII",
"IIIIIZIZIIII",
"IIZIIZIIIIII",
"IIZIZIIIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIZII",
"IIZZIIIIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIZII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
17.5,
5,
3.5,
7,
1.5,
23.5,
-3.5,
21,
9,
28,
-13,
-14.5
] | 0.978027 | [
0.34785554562006854,
-0.2034833460573275,
3.3763989327658352,
0.22936439495434732,
0.28989862628995056,
-0.361224517407446,
-0.3019207356157597,
-0.0783758287109636,
0.12294859291502225,
0.9205124597140486,
3.0830287046599087,
0.49160142253349426,
3.214152893028776,
0.1847646373790203,
0... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -154,
"target_ratio": 0.97,
"target_value": -149.38
} | 19 |
ad5e16c647b3e8afeeb51cea63283747 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [19, 26], "expectation_value": -4.489065531693061, "params": null, "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 33, "probabilities": [0.06023648174640777, 0.864537407937387], "optimization_time": 36.996063470840454} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "0010111", "0100111", "1101100", "0101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5498208309717705) q[0];
rz(-pi) q[1];
ry(-0.027905039045476778) q[1];
h q[2];
ry(1.4286739804212187) q[2];
h q[3];
h q[4];
ry(-1.5712458828569957) q[4];
h q[5];
cx q[5], q[0];
ry(0.5498208309717705) q[0];
cx q[5], q[0];
ry(-0.6191263193766597) q[0];
ry(1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"IIZZIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
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,
-0.5,
-1,
-0.5
] | 0.994261 | [
-1.5712458828569957,
-1.4972505690550146,
1.4286739804212187,
-1.0053995826514508,
-1.099641661943541,
0.690142419476929,
-0.4471038081227416,
0.6668894682407048,
-0.3440450225078362,
0.09470115397418863,
0.33432841627262677,
-0.28297716612437795,
-0.16457309048695368,
0.2152753034606018,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 19.47857975959778} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) q[4];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
ee0f00774b6823d75df9b3d1e8947ebf | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [65, 6], "expectation_value": -2.011903149200229, "params": [[0.0594, 0.0651, 0.0626], [-0.056600000000000004, -0.06380000000000001, -0.0635]], "bitstrings": ["0111110", "1111001"], "total_optimization_steps": 10, "probabilities": [0.014592766403071219, 0.01459276640307125], "optimization_time": 5.7381985187... | 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(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111110", "1011011", "1010111", "0011111", "1111001", "1001111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.1787346229022353) q[0];
rz(1.85169983106438) q[0];
rx(0.6446082778184011) q[1];
rz(1.5337435650242206) q[1];
rx(0.13258855509394268) q[2];
rz(1.742289834858898) q[2];
rx(0.5349338935732003) q[3];
rz(1.4181180172739278) q[3];
rx(0.6230789562836189) q[4];
rz(1.533743... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1.5,
-2,
-0.5,
-2
] | 0.972431 | [
0.1787346229022353,
0.28090350426948285,
0.6446082778184011,
-0.037052761770675964,
0.13258855509394268,
0.17149350806400154,
0.5349338935732003,
-0.1526783095209684,
0.6230789562836189,
-0.03478400855838438,
0.05603757244408017,
-0.07156855077521751,
0.19573188402464922,
-0.39890063889249... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 9 |
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": 5.7230751514434814} | 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 | 2 | {"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 |
7e799239f8573f120a2c5e15cda2e88f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14, 7], "expectation_value": -2.4964641631109394, "params": null, "bitstrings": ["10001", "11000"], "total_optimization_steps": 19, "probabilities": [0.06634837994070204, 0.9303663571679487], "optimization_time": 10.481258630752563} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + -1.0 * Z(0) + 0.0 * Z(3) + -0.5 * Z(1) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["10001", "11000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.013661432647873829) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.47799463725369296) q[1];
h q[2];
ry(1.609883237122917) q[2];
h q[3];
ry(1.609883237122917) q[3];
h q[4];
cx q[4], q[1];
ry(0.47799463725369296) q[1];
cx q[4], q[1];
ry(-0.6440649203767641) q[1];
ry(0.9857223264... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIZIZ",
"IZIIZ",
"IIIZZ",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0,
-1,
0,
-0.5,
0
] | 0.994711 | [
-1.5961244559276881,
1.609883237122917,
-0.9559892745073859,
0.7778346010594781,
-0.4321667361998622,
0.4157754507244771,
-0.42379636835380385,
0.245207488748664,
-0.0379388834944252,
0.03472662903914467,
0.0730459640739915,
0.07797912356133081,
-0.0856693429277921
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 1 |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 46.79630637168884} | 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)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"], "largest_eigenvalue": 4.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | 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(-1.5158) 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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"IZIZIZI",
"ZIIZIZI",
"ZZIIIZI",
"ZZIZIII",
"ZZIZIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"III... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0.125,
0,
-0.625,
0.125
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
2658bf5f7163af35b242065cf609fa3e | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [255, 4095], "expectation_value": -16.17029892803295, "params": null, "bitstrings": ["111100000000", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.05898627295680151, 0.4218818658145525], "optimization_time": 269.04649114608765} | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(11)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 22.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.832472417537512) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.7971816339594742) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.24622362379039842) q[2];
cx q[1], q[2];
rz(0.7556814700497831) q[1];
rx(0.89641900505... | null | {"node": 2} | {"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(1.5708) q[1], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"IIZZIIIIIIII",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIII... | [
-2,
-2.5,
-2,
0.5,
0.5,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.510669 | [
0.832472417537512,
0.7971816339594742,
0.24622362379039842,
0.7556814700497831,
0.10410580387811075,
0.8964190050573607
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -21,
"target_ratio": 0.97,
"target_value": -20.37
} | 158 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [10, 7], "expectation_value": -1.878244413214229, "params": null, "bitstrings": ["0101", "1000"], "total_optimization_steps": 18, "probabilities": [0.20653887476852636, 0.7080427202478625], "optimization_time": 7.22055196762085} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"], "largest_eigenvalue": 2.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(-1.010121423472979) q[0];
h q[1];
ry(0.7853982035792615) q[1];
h q[2];
ry(1.5707956806528132) q[2];
h q[3];
cx q[3], q[1];
ry(-0.7853982035792615) q[1];
cx q[3], q[1];
ry(0.6154796274137422) q[3];
cx q[1], q[3];
ry(-0.6154796274137422) q[3];
cx q[1], q[3];
cx... | null | {"source": 0, "sink": 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];\nry(1.4449) q[2];\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... | [
"IZIZ",
"IZZI",
"ZZII",
"ZIIZ",
"ZIZI",
"IZII",
"IIIZ",
"IIZI",
"ZIII"
] | [
-0.5,
-0.5,
-0.5,
0.75,
-0.5,
0.5,
-0.25,
0,
-0.25
] | 0.888889 | [
1.5707956806528132,
1.570796407158523,
1.2309592548274844,
-2.020242846945958,
0.5024058852687302,
-1.1213498565529063,
1.0683905653844339,
6.544803761639136e-7,
-0.07539900701000271,
-0.09494170503749731,
-1.3610082431868337e-7,
0.0949418225997358,
0.07539895788259901,
-4.123984436099256e... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 287 |
6ea38bd0c3373db421f169d031da01a1 | 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": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [6, 1016], "expectation_value": -16.923449835970146, "params": [[[0.0024000000000000002, 0.001], [1.5571000000000002, 0.009300000000000001], [0.0022, 0.0079], [0.0027, 0.0059], [0.0021000000000000003, 0.0049], [-0.003, 0.0088], [1.5826, 0.009600000000000001], [0.3221, 0.0095], [1.5627, 0.008], [-0.0022, 0.00... | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 2 | 10 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000001", "0000000111"], "largest_eigenvalue": 23.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.025578817020127098) q[0];
rz(0.27131584861742364) q[0];
rx(0.3977946016761558) q[1];
rz(-0.5875452272903543) q[1];
rx(-0.11301256631019166) q[2];
rz(-0.5513627713039552) q[2];
rx(0.0738995832420053) q[3];
rz(-0.48516914167224057) q[3];
rx(0.0016542410247628592) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
-1,
-2.5,
-2.5,
-2,
1.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1
] | 0.978898 | [
-0.025578817020127098,
0.27131584861742364,
0.3977946016761558,
-0.5875452272903543,
-0.11301256631019166,
-0.5513627713039552,
0.0738995832420053,
-0.48516914167224057,
0.0016542410247628592,
0.12862277273527398,
0.13660625969847973,
0.01540778397421319,
2.7825422355063245,
-0.50047619591... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 23 |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 5.503632068634033} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.4735206763607496) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01182672083452973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.01182672083452973) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4735206763607496) q[3];
cx q[1], q[3]... | null | {"source": 0, "sink": 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(-1.5158) q[3], q[0];\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",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.25,
0.5,
0.25
] | 0.731547 | [
0.4735206763607496,
-0.01182672083452973,
-0.00498214199769815,
-1.582999198203383,
-1.7345000367827936,
1.438980752288773
] | {
"n_parameters": 6,
"n_qubits": 4,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 193 |
068ca9ebc869ed2b6b1f40ca0469471e | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 69], "expectation_value": -2.5395296457759713, "params": [[0.0752, 0.0714, 0.0756, 0.07490000000000001], [-0.0828, -0.0732, -0.0748, -0.0726]], "bitstrings": ["0011101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.023749415090991058, 0.023980068332435964], "optimization_time": 15.324... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111010", "0011101", "0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-1,
-1.5,
-1,
-0.5
] | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
eae8cd3fdd6c48bfe81a3803c36d609c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capac... | {"states": [115, 371], "expectation_value": -19.00903339644863, "params": [[[-0.0553, -0.5657, 0.0045000000000000005, 0.0061], [-0.4043, 1.0077, 0.0441, 0.7375], [0.0024000000000000002, 1.5834000000000001, -0.002, 0.0367], [-0.0023, 0.30920000000000003, -0.004200000000000001, 0.43360000000000004], [-0.0027, 1.5586, -0.... | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + 3.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(7)) + -1.25 * (Z(1)... | 11 | 10 | 4 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1010001100"], "largest_eigenvalue": 25.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.0533417252704885) q[0];
h q[1];
h q[2];
ry(-1.5705525220907608) q[2];
h q[3];
ry(0.009834971265462386) q[3];
cx q[1], q[3];
ry(-0.009834971265462386) q[3];
cx q[1], q[3];
ry(1.6386812413640512) q[1];
h q[4];
h q[5];
ry(1.4993579325441821) q[5];
h q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIZIIZIII",
"IIZIIIIZII",
"IIZIIIIIIZ",
"IIZIIIZIII",
"IIZZIIIIII",
"ZIIIIIIIIZ",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZIIZI",
"IZIIIIIZII",
"IZIIIIZIII"... | [
-0.5,
-1.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.5,
-0.75,
-1.25,
3.75,
-1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.25,
-0.5,
-1,
-0.5,
-0.5,
-1.25,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-2,
-0.25,
1,
-1.25,
-3.75,
0.5,
0,
0,
2.25,
3... | 0.970244 | [
-1.6484608139549197,
1.4993579325441821,
-1.5705525220907608,
0.106683450540977,
1.8693053555204904,
-0.9702061114407344,
-0.18232672389765608,
-0.16942198089353727,
-0.016225086356709134,
0.019669942530924772,
0.12950681021722085,
0.5464250680885759,
1.4199640218199987,
0.3772353680375361... | {
"n_parameters": 43,
"n_qubits": 10,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 81 |
cdc1c85d9788b04850582a1ad6d1cbab | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [510, 511], "expectation_value": -26.18959946743834, "params": [[[-0.0018000000000000002, 0.002], [-0.004200000000000001, -0.0026000000000000003], [-0.8948, 0.7618], [-0.0032, 2.3059000000000003], [-0.0029000000000000002, -0.0018000000000000002], [0.0026000000000000003, -0.0028], [-0.0023, 0.0025], [-0.0023,... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * (Z(10) @ Z(11)) + -1.5 * Z(1) + -1.5 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-pi) q[0];
ry(-0.09094785828738784) q[0];
h q[1];
ry(-1.5649407372084594) q[1];
h q[2];
ry(-1.5649407372084594) q[2];
h q[3];
ry(1.180897479259819) q[3];
h q[4];
ry(0.965713791843748) q[4];
h q[5];
h q[6];
ry(0.7792157248230072) q[6];
cx q[5], q[6];
ry(-0.7792157248... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIZIIII",
"IIIIIZIIZIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIZZIIIIIIII",
"IIZIZIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZ... | [
-2,
1,
-2,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.934318 | [
-1.5649407372084594,
-1.520403555934438,
1.5584314496460143,
1.931427583687496,
2.361794958519638,
0.5566245063921221,
0.21452596818462327,
-0.31253697906217626,
0.8182209571979099,
0.0036248295407516756,
0.002129643067690236,
-0.03734896135692428,
-0.019704797444814473,
0.0195290929894914... | {
"n_parameters": 62,
"n_qubits": 12,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 500 |
e05275d14653e116f32640e6b82829a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -72.78927984598187, "params": [1.473, 0.0094, 3.1398, 0.006, 3.1391, 0.005, 3.14, 0.007, 3.1387, 0.0027, -0.0023, 0.0086, 3.1387, 0.009600000000000001, 0.7069000000000001, 0.0021000000000000003, 0.5644, 0.0022, 0.0057, 0.0045000000000000005, 0.0097, 0.0068000000000000005, 0.0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 18 | 9 | 1 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZZIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIZII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
13.5,
11,
13,
16,
9,
-3,
6,
3.5
] | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
6620187651886527837 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 3], [0, 2], [3, 4], [2, 5], [2, 6]]} | {"states": [150, 206], "expectation_value": -2.6239583668275728, "params": null, "bitstrings": ["01101001", "00110001"], "total_optimization_steps": 60, "probabilities": [0.049047702568643554, 0.6981360481358856], "optimization_time": 60.23121118545532} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01101001", "10010110", "00110001", "11001110"], "largest_eigenvalue": 3.0} | 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(0.9427440989033157) q[1];
cx q[3], q[1];
rz(-8.535886664162717e-09) q[1];
rx(-0.7853981578700855) q[1];
h q[4];
cx q[3], q[4];
rz(0.9427440989033157) q[4];
cx q[3], q[4];
rz(-8.535886664162717e-09) q[3];
rx(-0.7853981578... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427440989033157,
-8.535886618083877e-9,
-0.7853981578700855
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 97 |
9166bed2e29ff69e5428606133a6b7da | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [504, 509], "expectation_value": -1.7236628847675353, "params": [[0.0684], [-0.057600000000000005]], "bitstrings": ["000000111", "000000010"], "total_optimization_steps": 10, "probabilities": [0.003120515569995101, 0.0031663257435423503], "optimization_time": 3.493776559829712} | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + -1.5... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000000010", "000000111"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6559923908838374) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.641858777776417) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6559923908838374) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[5];
rz(-0.641858777776417) 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIZZIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIZIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
-2.5,
-3,
-2.5,
-3,
-2.5,
1.5,
-2.5,
0.5,
0.5,
0.5,
1,
1,
-2.5,
-2.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
-1
] | 0.56849 | [
-0.6559923908838374,
-0.641858777776417,
-0.45434346324668123,
-0.07817020250922593,
-0.42022323800771944,
-1.0613050886451882,
-1.5964257872079792,
-1.004400238381587
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 216 |
-5060418911380501211 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [0, 3, 5, 6], [4, 6], [0, 1], [0, 2]]} | {"states": [130, 134], "expectation_value": -2.003605343799498, "params": null, "bitstrings": ["01111101", "01111001"], "total_optimization_steps": 60, "probabilities": [0.21225853014964063, 0.26266167020414827], "optimization_time": 87.25515460968018} | 0.5 * (Z(6) @ Z(7)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["01101101", "01100010", "01111001", "10001001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.7527790659307674) q[1];
h q[2];
ry(-0.16217029056657323) q[2];
cx q[0], q[2];
ry(0.16217029056657323) q[2];
cx q[0], q[2];
ry(1.3183960870845304) q[0];
cx q[0], q[1];
ry(0.7527790659307674) q[1];
cx q[0], q[1];
ry(-0.17578666176731808) q[1];
ry(-1.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"ZZIIIIII",
"IZIIIIIZ",
"IZIIZIII",
"IIIIZIIZ",
"IZZIIIII",
"IIZIIIIZ",
"IIZIZIII",
"IZIZIIII",
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII"
] | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0,
0.125,
0.125,
0.125,
0.125,
0,
0,
0
] | 0.971707 | [
-0.32434058113314645,
1.4776785919028026,
-1.550310768967748,
-0.7182346539033049,
1.3183960870845304,
-1.5055581318615348,
0.14177600634268636,
-0.9345845931721822,
0.15603724409908656,
-0.47460402386059136,
-0.6133868139339855,
-0.35157332353463616,
-0.14499387695314125,
0.08972905495862... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 24 |
efa54e0099ac2e11d0fabc58238fc0ce | 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": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [86, 214], "expectation_value": -4.101416003899167, "params": [0.7976000000000001, 0.1631, 0.8033, 0.0073, 0.8035, 0.1593, 0.8084, 0.0024000000000000002, -0.0108, 0.4183, -0.010100000000000001, 0.0058000000000000005, 0.8101, 0.16040000000000001, 0.8118000000000001, 0.0099, -0.0158, 0.4153, -0.009300000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.5 * Z(7) + 0.0 * Z(1) + -0.5 * Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00101001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.6216569190921455) q[0];
rz(0.3263852305523267) q[0];
rx(1.0739250392046007) q[1];
rz(0.07025452301557955) q[1];
rx(-0.04436490291370855) q[2];
rz(-0.014169123342469447) q[2];
rx(0.7136580409912646) q[3];
rz(0.15059125383908079) q[3];
rx(0.05470027563689895) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZZIIIIII",
"ZIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
0,
-0.5,
-1,
0
] | 0.970779 | [
1.6216569190921453,
0.46889601744582043,
1.0739250392046007,
0.10682263351352128,
-0.04436490291370855,
0.08499133668400971,
0.7136580409912646,
0.06005720068273112,
0.05470027563689896,
0.3514769556589849,
1.5127925109613343,
0.04117263174387639,
2.474887500387572,
-0.6402929116468842,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 41 |
864217746318b4c99985494cf9e87642 | 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": [694, 690], "expectation_value": -74.5178113649998, "params": [0.058800000000000005, 0.5047, 1.0978, 0.2717, 0.0955, 0.5714, 1.1069, 0.21150000000000002, -0.0015, 0.7033, 1.1043, -0.0164, 1.1019, -0.09870000000000001, 0.7342000000000001, -0.1582, 0.7473000000000001, 0.3274, 1.1009, 0.0876, -0.002600000000000... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(5) @ Z(7)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + -3.0 * Z(2) + 17.5 * Z(1) + 6.5 * Z(3) + -3.5 * Z(0) + -6.0 * Z(4) + 25.5 * Z(... | 18 | 11 | 2 | {"smallest_eigenvalues": [-118.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["10101001101"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.00554611965027468) q[0];
rz(-0.3302254692309461) q[0];
rx(1.4263813538037438) q[1];
rz(0.38860206487133986) q[1];
rx(-0.1632921410718093) q[2];
rz(0.3148269113293324) q[2];
rx(1.6021170960645266) q[3];
rz(0.3820656470642087) q[3];
rx(0.04869209305127482) 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, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIZIIIIZI",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIZIIZIIIII",
"IZIIIIIIIZI",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIZIIIIIII",
"IIIIIZIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-3,
17.5,
6.5,
-3.5,
-6,
25.5,
4,
15.5,
4,
13.5,
-11
] | 0.972458 | [
0.00554611965027468,
0.21437293447665906,
1.4263813538037438,
0.38860206487133986,
-0.1632921410718093,
0.3148269113293324,
1.6021170960645266,
0.3820656470642087,
0.04869209305127482,
0.8301045952227921,
1.8453614427146123,
0.09816256585394972,
1.3357008210806263,
0.00915995582258742,
0... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -118,
"target_ratio": 0.97,
"target_value": -114.46
} | 18 |
0609beb0244f504071355435b704f83a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -40.51078379667686, "params": [[-0.022500000000000003, -0.006900000000000001, 0.0131], [0.0488, 0.0653, 0.0728]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.006830058441804307, 0.008178073083507318], "optimization_time": 9.24... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"], "largest_eigenvalue": 239.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.05720166376948084) q[0];
cx q[1], q[0];
rz(0.384465093829772) q[0];
rx(0.5257962609517454) q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.05720166376948084) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(0.05720166376948084) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
27,
-2.5,
25,
1,
24,
25.5,
5,
27.5,
16.5
] | 0.971929 | [
0.05720166376948084,
-1.9208781452886627,
0.3844650938297717,
-1.5190760479115246,
0.8209157825718216,
-1.7818713127497543,
-1.4122972990232305,
0.9561315396792637,
-1.4130348703589817,
-0.5499250001873687,
0.5257962609517453,
-0.09871875069884134,
0.16770288276034062,
1.0067294391173507,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 77 |
41e5048a5606e4239201a6d155f49a6b | 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": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [1024, 1023], "expectation_value": -17.753711698758, "params": [[[-0.008400000000000001, -0.0022], [0.005, 0.0018000000000000002], [0.0456, 0.0026000000000000003], [-0.0027, 0.0028], [0.0067, -0.0026000000000000003], [0.0033, -0.0029000000000000002], [0.0099, 0.0029000000000000002], [0.0014, 0.00290000000000... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(8)) + 2.0 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.75 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(10)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6)... | 15 | 11 | 3 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.014795716684886044) q[0];
ry(-0.16623129363767608) q[1];
ry(0.07368827659772412) q[2];
ry(-0.1614546548426515) q[3];
ry(0.11103179606729667) q[4];
ry(0.07269343600608576) q[5];
ry(0.17716004042612185) q[6];
ry(-0.024436000180036326) q[7];
ry(0.14754551465903304) ... | 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": []} | [
"IIIIIIIZIIZ",
"IIZIIIIZIII",
"IIZIIIIIIIZ",
"ZIIIIIIZIII",
"ZIIIIIIIIIZ",
"ZIZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IZIIIIIIZII",
"IZIIIIIIIZI",
"IIIIZIIZIII",
"IIZIZIIIIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIIIZZIII",
"IIZIIIZIIII",
"IIIIIIZIZ... | [
-0.75,
-0.75,
-0.5,
-0.75,
-0.5,
-0.75,
2,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.75,
-1,
-0.75,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.25,
-0.5,
-1,
-0.75,
-1.5,
-0.75,
-0.25,
-0.5,
-1,
-0.25,
-3,
0.75,
0,
0.5,
-0.75,
0.75... | 0.972354 | [
-0.014795716684886044,
-0.16623129363767608,
0.07368827659772412,
-0.1614546548426515,
0.11103179606729667,
0.07269343600608576,
0.17716004042612185,
-0.024436000180036326,
0.14754551465903304,
-1.4594110234647253,
0.02382684721779718,
0.06343438505469955,
-0.006975749819934252,
0.02180099... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -18.25,
"target_ratio": 0.97,
"target_value": -17.7025
} | 26 |
e9c462a1bd32b66e47c042d7665c8b8c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [19, 73], "expectation_value": -0.21499804713844678, "params": [[-0.0645], [0.07300000000000001]], "bitstrings": ["1101100", "0110110"], "total_optimization_steps": 10, "probabilities": [0.008944407843271562, 0.008954043187772268], "optimization_time": 1.4396555423736572} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + -1.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1001101", "0110110"], "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(-0.3237246402573668) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.3237246402573668) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.3237246402573668) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.3237246402573668) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-0.5,
-1,
-1.5
] | 0.758794 | [
-0.3237246402573668,
0.3064564205300012,
0.4767277367358957,
1.0302840191842209,
1.0004734609527248,
-0.8962179999409403,
0.4671267464310068,
1.0855195917621498,
1.735602026922614,
0.4821524963075305
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 270 |
-2549676127264746355 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [0, 2, 5], [3, 5], [1, 5, 6], [0, 6], [2, 4], [5, 7], [1, 2, 6], [2, 7], [0, 1, 4]]} | {"states": [91, 228], "expectation_value": -0.0748559533124817, "params": [[0.06860000000000001], [-0.0637]], "bitstrings": ["10100100", "00011011"], "total_optimization_steps": 10, "probabilities": [0.004290133686665221, 0.004338773631519783], "optimization_time": 2.579444646835327} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["00011011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.4446270718160572) q[0];
h q[1];
ry(1.6658875078462905) q[1];
h q[2];
h q[3];
ry(-0.45257409613552735) q[3];
h q[4];
ry(-0.17573290044430212) q[4];
cx q[2], q[4];
ry(0.17573290044430212) q[4];
cx q[2], q[4];
ry(1.1060410343317242) q[2];
cx q[1], 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;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(x0) q[7];
cx... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIIZIZ",
"ZIIIIZII",
"IIZIZIII",
"IIZIIIIZ",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZIIZI",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666... | 0.975159 | [
1.6658875078462905,
1.4446270718160572,
-1.608830752054294,
-0.35146580088860424,
1.0303039552826398,
-0.6331469866719929,
-0.8743656177968228,
0.15147415809816872,
1.0671498726980728,
-0.6708120937169336,
-0.9051481922710547,
0.41728992845913404,
-0.09391730371924531,
-0.12391382425350728... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -3.4999999999999996,
"target_ratio": 0.97,
"target_value": -3.3949999999999996
} | 22 |
527397673642175228 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 3], [0, 2, 3]]} | {"states": [9, 3], "expectation_value": -0.6580632820980629, "params": null, "bitstrings": ["0110", "1100"], "total_optimization_steps": 16, "probabilities": [0.1884678603761805, 0.42290338308964454], "optimization_time": 7.2354278564453125} | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1100", "0110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rx(2.75357209625061) q[0];
rz(-0.06295520530188722) q[0];
rx(0.12196979727393088) q[1];
rz(-0.4687691959391537) q[1];
rx(-0.12983631214355906) q[2];
rz(-0.2231624506912386) q[2];
rx(3.060481353988891) q[3];
rz(0.3146097028582111) q[3];
| 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];\ncry(-1.0342) q[3], q[1];\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... | [
"ZIZI",
"ZIIZ",
"ZZII",
"IZIZ",
"ZIII",
"IIZI",
"IIIZ",
"IZII"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666
] | 0.976457 | [
2.75357209625061,
-0.06295520530188722,
0.12196979727393088,
-0.4687691959391537,
-0.12983631214355906,
-0.2231624506912386,
3.060481353988891,
0.3146097028582111
] | {
"n_parameters": 8,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 13 |
1d160cc3abadcab873ad861acb76445a | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [34, 35], "expectation_value": -5.5600994264324, "params": [0.001, 0.45830000000000004, 0.7967000000000001, 0.5135000000000001, 0.8016000000000001, 0.5197, -0.014, 0.4849, 0.1729, 0.4471, -0.0137, 0.46950000000000003, 0.8077000000000001, 0.2157, 0.8032, 0.002, 0.0011, 0.0089, 0.8015, 0.0007, 0.7939, 0.0046, ... | 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(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10111100", "11011100"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.12928603446199796) q[0];
rz(0.1263829172092379) q[0];
rx(1.6661709861588274) q[1];
rz(0.4604634410214574) q[1];
rx(0.1854095277792394) q[2];
rz(0.18416142292516513) q[2];
rx(0.069570865701095) q[3];
rz(0.4523192231594435) q[3];
rx(0.15313658966665358) q[4];
rz(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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIZIIIII",
"IIIIZIZI",
"IIIIZZII",
"IIZIZIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-1,
-1.5,
-2,
-1.5,
-1,
-1.5
] | 0.972175 | [
-0.129286034461998,
0.3062799814984172,
1.6661709861588274,
0.06104329603054258,
0.1854095277792394,
0.08731966311224877,
0.069570865701095,
0.8176598531631969,
0.1531365896666536,
0.7686625434406404,
0.1773261334332946,
0.3129555305096434,
1.8364097166713984,
0.2096079881213217,
1.18650... | {
"n_parameters": 42,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 17 |
d718199120caa09970ec0112edaecdf9 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2, 3], "expectation_value": -23.60885378225351, "params": [[[0.4192, 0.003], [0.2569, 0.004], [0.25880000000000003, 0.0058000000000000005], [1.4304000000000001, 0.006900000000000001], [0.42160000000000003, 0.005], [1.6091, 0.0064], [1.6015000000000001, 0.0061]]], "bitstrings": ["1111101", "1111100"], "total... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 7 | 1 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04015044538224883) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04015044538224883) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.04015044538224883) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.04015044538224883) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
-10.25,
-10,
-10.25,
-10,
-10,
-9.25,
-9.25
] | 0.978301 | [
-0.04015044538224883,
-0.15324628777449456,
-1.689169402787427,
-1.6217749557604155,
1.3668630378637412,
-1.508421696431749
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 23 |
7fc1aaca9b2555712646afcde4133c5a | 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": [186, 185], "expectation_value": -18.982519372292987, "params": [[-0.0379, -0.027200000000000002, 0.0137], [0.0685, 0.0771, 0.0613]], "bitstrings": ["101000101", "101000110"], "total_optimization_steps": 10, "probabilities": [0.012151455953435468, 0.014892298009548454], "optimization_time": 5.452420711517334... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(0) + 7.5 * Z(1) + 0.5 * Z(2) + 5.5 * Z(3) + 15.0 * Z(4) + 11.0 * Z(5) + 8.5 * Z(6) + 1.5 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["101000110"], "largest_eigenvalue": 102.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.02309472339120279) q[0];
ry(-2.4630389514646778) q[1];
rz(-pi) q[1];
h q[2];
ry(-0.2704953174133071) q[2];
ry(-2.6452522760113837) q[3];
rz(-pi) q[3];
h q[4];
ry(26.81929168188027) q[4];
cx q[4], q[1];
ry(-0.15327626366460861) q[1];
cx q[4], q[1];
ry(0.646... | 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",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2,
7.5,
0.5,
5.5,
15,
11,
8.5,
1.5,
0.5
] | 0.970867 | [
26.81929168188027,
0.7389663610051724,
0.30655252732921723,
0.7071843024188195,
1.015911826419828,
0.47961159703678075,
1.189688704359413,
1.2921521591363707,
-0.04618944678240558,
-0.612481042150886,
0.14198537974262937,
0.5039189075988507,
-0.188878336985381,
-0.5409906348266142,
0.087... | {
"n_parameters": 78,
"n_qubits": 9,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 227 |
a5b265eb79377fd9fffe3e6f56065994 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.21888924480081925, "params": [[0.25830000000000003], [-0.254]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 30, "probabilities": [3.530758440832694e-05, 3.5307584408326954e-05], "optimization_time": 19.58591389656067} | 0.25 * (Z(0) @ Z(1)) + -0.0006875000000000002 * (Z(2) @ Z(0)) + -0.0006875000000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005000000000000001 * (Z(4) @ Z(0)) + -0.0005000000000000001 * (Z(4) @ Z(2)) + -0.0005000000000000001 * (Z(5) @ Z(1)) + -0.0005000000000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.021374999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0213749999999577, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0126249999999732} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.5625359433037262) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.036862089814831495) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.036862089814831495) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(1.5625359433037262) q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"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,
-0.0006875000000000002,
-0.0006875000000000002,
0.25,
-0.0005000000000000001,
-0.0005000000000000001,
-0.0005000000000000001,
-0.0005000000000000001,
0.25,
-0.0006875000000000002,
-0.0006875000000000002,
-0.0005000000000000001,
-0.0006875000000000002,
-0.0006875000000000002,
-0.000... | 0.975804 | [
1.5625359433037262,
0.036862089814831495,
0.004222831829218305,
-0.004812073154535978,
-0.023789413935056132,
0.02256560841305888,
-0.01813045531959942,
-0.056510213099617956,
-0.03786340776232728,
0.1971606680917451,
-0.8373958354745852
] | {
"n_parameters": 11,
"n_qubits": 16,
"optimal_eigenvalue": -2.021374999999959,
"target_ratio": 0.97,
"target_value": -1.9607337499999602
} | 26 |
9537b03a0720fea9486a83164aae2375 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -2.742355112587056, "params": [[-0.053500000000000006, -0.0795], [0.0522, 0.0693]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.031365541488637474, 0.03581602812157539], "optimization_time": 2.1577701568603516} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04459291637044844) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.13836609871095987) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.04459291637044844) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.13836609871095987) 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"IZIZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.75,
-3.5,
3.25,
-1.75,
0,
-0.25,
-0.75,
0.75,
-1.25,
1.5
] | 0.971099 | [
-0.04459291637044844,
-0.13836609871095987,
-0.0035492850593641656,
-0.050246306238886776,
-0.3040872882365267,
0.09375049462482174,
-1.3952808476570036,
-0.935560578412678,
-0.6808490296717252,
-0.8285443807602375,
-0.9401926242259768,
0.8324490365775066,
-1.6550995825587071,
-0.140733839... | {
"n_parameters": 37,
"n_qubits": 6,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 85 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 42], "expectation_value": -0.8162898713270601, "params": [0.6068, 0.09770000000000001, 0.3244, 0.1854, 0.6038, 0.038700000000000005, 0.3403, 0.22, 0.5993, 0.1991, 0.16190000000000002, 0.3257, 0.6066, 0.11170000000000001, 0.3282, 0.1655, 0.6063000000000001, 0.09860000000000001, 0.3362, 0.2448000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 18 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
670daa6e034726b8ea64bfcf7b90eb4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4},... | {"states": [0, 2032], "expectation_value": -19.12721722543753, "params": [[[0.0027, 0.0098], [0.0021000000000000003, 0.0033], [0.0022, 0.0006000000000000001], [0.002, 0.0048000000000000004], [0.0026000000000000003, 0.0024000000000000002], [0.0022, 0.0037], [1.6072000000000002, 0.0034000000000000002], [-0.0014, 0.001300... | -2.5 * (Z(0) @ Z(6)) + -2.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(10)) + -2.5 * (Z(8) @ Z(10)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(10)) + -2... | 2 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000001111"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.6489601368927522) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.6489601368927522) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.6489601368927522) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.6489601368927... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIZ",
"IIIIZIIIIZI",
"IIIIIIIIIZZ",
"IIIIZZIIIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIZIZIIII",
"IIIIIIZIIIZ",
"IIIIIIZIIZI",
"IIIIIZZIIII",
"ZIIZIIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIZZII",
"IIIIZIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIII... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2.5,
1,
0.5,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
1,
0.5,
0.5
] | 0.532 | [
-0.6489601368927522,
-1.1362236458144548,
-0.11885634869919376,
-0.8266673840557922,
-0.3052664254047174,
-1.570796295666398,
-0.9605498052680749
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 208 |
d2c254e7ed9f5458dc87323e5cdd8c39 | 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": [783, 779], "expectation_value": -113.35575884327388, "params": [0.24730000000000002, 0.23340000000000002, 0.6943, 0.0018000000000000002, 0.6985, 0.0016, 0.0, 0.4692, 0.096, -0.2919, -0.0006000000000000001, -0.4112, 0.0038, 0.47190000000000004, 0.7012, 0.1423, 0.3936, 0.2637, 0.6769000000000001, 0.2252, 0.69... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(10) @ Z(1)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(8)) + 13.5 * Z(2) + 25.0 * Z(1) + 3.0 * Z(0) + 0.5 * Z(4) ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-132.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -123.5, "smallest_bitstrings": ["10011110100"], "largest_eigenvalue": 187.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.32913245757633824) q[0];
rz(-0.06784239269991499) q[0];
rx(0.5338574052146465) q[1];
rz(-0.008195437201998688) q[1];
rx(0.797176286625545) q[2];
rz(-0.1322797851095541) q[2];
rx(0.17544209150206888) q[3];
rz(0.5323789494720624) q[3];
rx(-0.13907928626906071) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIIIZZ",
"IIIIIIZIIZI",
"IIIIIZIIZII",
"IIIZZIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIZIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"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,
13.5,
25,
3,
0.5,
-6,
9.5,
-3.5,
23.5,
11,
8,
-13
] | 0.974 | [
0.32913245757633824,
-0.10451798783457936,
0.5338574052146465,
-0.008195437201998688,
0.797176286625545,
-0.1322797851095541,
0.17544209150206888,
0.5323789494720624,
-0.13907928626906071,
-0.3079025111738349,
-0.029916734588903704,
-0.47048355500815026,
0.00296839555981121,
0.469357441421... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -132.5,
"target_ratio": 0.97,
"target_value": -128.525
} | 12 |
9113918706603586927 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 5], [0, 1, 2, 3, 6], [4, 5]]} | {"states": [99, 107], "expectation_value": -0.971780688733525, "params": null, "bitstrings": ["0011100", "0010100"], "total_optimization_steps": 44, "probabilities": [0.2639141580860792, 0.5062715917382126], "optimization_time": 55.8534734249115} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(3)) +... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332],... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.570795597418955) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(3.031813164792493e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(7.306338960623104e-08) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(7.30633... | 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(1.0792) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IIIIZZI",
"IIIIIZZ",
"IIIZZII",
"IIIZIIZ",
"IIIZIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIIZIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.21666666666666667,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.26666666666666666,
0.26666666666666666,
0.16666666666666663,
0.1,
0.1,
0.1,
0
] | 0.826864 | [
1.570795597418955,
3.031813164792493e-8,
7.306338960623104e-8,
1.570796297335024,
3.5820343969444404e-7,
1.5707964652080726,
1.1983872278892004e-7,
-0.8056096671248185
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 235 |
fae06182b4dd84aac963af755062d831 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target":... | {"states": [487, 511], "expectation_value": -11.86040298672, "params": null, "bitstrings": ["000011000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.11831463061668938, 0.5009529283361607], "optimization_time": 200.17073345184326} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["000000000"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.9525426732760441) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.8852648635640409) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.25519165869718496) q[2];
cx q[0], q[2];
rz(-0.25519165869718474) q[0];
rx(-0.8700833877600284) q[0];
h q[... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[5], 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... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2.5,
0.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1,
0.5,
0.5
] | 0.518021 | [
-0.9525426732760441,
-0.8852648635640409,
-0.25519165869718496,
-0.6341383198516614,
-0.22327309000629392,
-0.8700833877600282
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 164 |
2fc4cdd822562fe181c001ffdae1abb5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -15.79034659636989, "params": [[[0.0021000000000000003, 0.8021], [0.0031000000000000003, 0.0019], [0.0022, 0.0021000000000000003], [0.0026000000000000003, -0.0029000000000000002], [0.0027, 0.002], [-0.0025, 0.0022], [0.0025, 0.0025], [0.0023, 0.0023], [0.0035, 0.0025], [0.0023... | -0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000001"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.024282349577383334) q[0];
ry(0.12706985798668663) q[1];
ry(-0.014984668063845045) q[2];
ry(0.07075306387243933) q[3];
ry(0.00032754987560388443) q[4];
ry(-0.03872712293314353) q[5];
ry(-0.0618877260810989) q[6];
ry(0.0008673093255641869) q[7];
ry(0.075058556969133... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIIIIZIIZI",
"ZIIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"ZIIIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIZIIIZII",
"IIIIIZZIIIII",
"IIZIIIIZIIII",
"IIZIIIIIIIZI",
"IIZIZIIIIIII",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIIZIIIIZIII",
"IIIIIIIIZ... | [
-0.25,
-0.75,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.5,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-1,
-1,
1.25,
-0.25,
-0.5,
-1.25,
-0.25,
-0.75,
-1.25,
-0.75,
0.75,
-0.25,
-1.25,
-1.25,
0.25,
-0.5,
0.5,
4.25,
-1.25,
0.25,
-2.75,
1.25
] | 0.970344 | [
0.024282349577383334,
0.12706985798668663,
-0.014984668063845045,
0.07075306387243933,
0.00032754987560388443,
-0.03872712293314353,
-0.0618877260810989,
0.0008673093255641869,
0.07505855696913362,
-0.03419490574580675,
-0.5675217543028909,
0.05085390699289539,
-0.0446574980987833,
0.01734... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 87 |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_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}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 171.56388092041016} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.1114879293616777) q[0];
ry(0.15685993350026523) q[0];
rz(-1.2753559774581484) q[0];
rz(1.6455463798734922) q[1];
ry(0.12439450381357361) q[1];
rz(-2.0806830828243723) q[1];
rz(1.9810033602527488) q[2];
ry(2.948676107721393) q[2];
rz(-1.039626053423473) q[2];
rz(1.6... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
12,
14,
0,
15.5,
7.5,
11.5,
15
] | 0.972455 | [
0.40466514957797073,
0.2601706792456252,
0.0888412715111685,
0.2573921016905544,
1.8051101402836665,
0.08347576028210325,
0.030504361917943496,
0.08039412607444499,
1.381450409563023,
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1.1033417399647076,
0.012564086284400422,
0.18792404571706298,
0.07017314689331701,
... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 19 |
3c7c554f2cda91a0c2b104575077a3fc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3},... | {"states": [126, 127], "expectation_value": -29.782386883947495, "params": [[[-0.002, 0.0019], [0.0022, -0.0019], [0.0023, -0.0017000000000000001], [-0.0025, -0.0023], [-0.0028, 3.0479000000000003], [-0.0036000000000000003, -0.0031000000000000003], [-0.0033, -0.0031000000000000003], [-0.0033, -0.0031000000000000003], [... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(9)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -2... | 15 | 11 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.06503855313205403) q[0];
ry(-0.0625998475988346) q[1];
ry(-0.22272195849612716) q[2];
ry(0.06978344662039808) q[3];
ry(-0.11663632156294153) q[4];
ry(0.16104876219115147) q[5];
ry(0.02834575219502954) q[6];
ry(0.02834575219502954) q[7];
ry(0.049992307472549166) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIZIIIZIIII",
"IZZIIIIIIII",
"IZIIIIZIIII",
"IIZIIZIIIII",
"IIIIIZZIIII",
"IZIIIZIIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIIZIIIII",
"IIZIZIIIIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"IIZZIIIII... | [
-2.5,
1.5,
-2.5,
-2.5,
1,
-2.5,
-2.5,
-3,
-2.5,
-3,
0.5,
0.5,
1,
0.5,
-2,
0.5,
0.5,
-2.5,
-3,
1,
-3,
1,
-2.5,
0.5,
-2,
-1.5,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971487 | [
0.06503855313205403,
-0.0625998475988346,
-0.22272195849612716,
0.06978344662039808,
-0.11663632156294153,
0.16104876219115147,
0.02834575219502954,
0.049992307472549166,
2.6391320172129333,
-0.005924771948751115,
0.03361338454253167,
0.13166699944242657,
-0.012736153675798029,
-0.04499594... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 15 |
766ad5c893fdabef4db5a6d615ba911f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [78, 75], "expectation_value": -4.49914484956448, "params": null, "bitstrings": ["0110001", "0110100"], "total_optimization_steps": 34, "probabilities": [0.06552939467991685, 0.9338659442773967], "optimization_time": 27.56080651283264} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + 0.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0110001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.016153868570687777) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.016153868570687777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.016153868570687777) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.016153868570687777) q[3];
cx q[1], ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
0,
-1,
-0.5,
0
] | 0.973841 | [
0.016153868570687777,
1.6531426914122864,
4.3596912682155935,
1.5899733302440615,
1.7283760072836996,
1.378270030858796,
-2.417983287278949,
1.460564283804654,
-1.7408143236471427,
-1.5136081997036865
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 57 |
e05275d14653e116f32640e6b82829a5 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target... | {"states": [43349, 43605], "expectation_value": -2.019624624873799, "params": [1.1859, 0.9983000000000001, 0.4293, 0.4631, 0.5299, 0.5331, 0.0023, -0.0181, 0.5301, 0.5242, -0.016900000000000002, 0.033600000000000005, 0.9373, 0.8048000000000001, 0.5019, 0.5045000000000001, -0.0017000000000000001, -0.0049, 0.5214, 0.5266... | 0.25 * (Z(0) @ Z(1)) + -0.0010802469135802468 * (Z(2) @ Z(0)) + -0.0010802469135802468 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0012345679012345679 * (Z(4) @ Z(0)) + 0.00015432098765432098 * (Z(4) @ Z(2)) + -0.0012345679012345679 * (Z(5) @ Z(1)) + 0.00015432098765432098 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 16 | 3 | {"smallest_eigenvalues": [-2.0216049382715577], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021604938271551, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.017592592592591} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4425492888678123) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.4425492888678123) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4425492888678123) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.4425492888678123) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0010802469135802468,
-0.0010802469135802468,
0.25,
-0.0012345679012345679,
0.00015432098765432098,
-0.0012345679012345679,
0.00015432098765432098,
0.25,
0.00030864197530864197,
-0.0010802469135802468,
0.00015432098765432098,
0.00030864197530864197,
-0.0010802469135802468,
0.0001... | 0.971772 | [
-0.4425492888678123,
2.0805051341880763,
-0.8059424329398818,
0.909658234555579,
0.5864643823955256,
0.4520557735563614,
2.1315789794619,
-1.545508813975371,
-1.3406375248769506,
-0.9044464262927957,
0.13583358901083126,
0.48780027186058117,
-0.6613907779366653,
-0.765987281107893,
0.924... | {
"n_parameters": 21,
"n_qubits": 9,
"optimal_eigenvalue": -79.5,
"target_ratio": 0.97,
"target_value": -77.115
} | 63 |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -2.7648600014917717, "params": null, "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 43, "probabilities": [0.08152110833948295, 0.6219423513065092], "optimization_time": 43.41139459609985} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3716796306065885) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.3716796306065885) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.3716796306065885) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.3716796306065885) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"ZIIIIZI",
"IIIZZII",
"ZIIIZII",
"ZIIZIII",
"ZIIZZII",
"IZZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.25,
0,
0,
-0.25,
-1,
-0.25
] | 0.698312 | [
-0.3716796306065885,
0.8727381071204077,
0.7179543098390148,
-0.19857375753212136,
0.8889599314407369,
-1.5807265779890087,
2.4860629174438844,
1.2068334987105587,
0.4724410059780224
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 259 |
e8fdec38f32f10530d269f6547919d57 | 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": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [118, 171], "expectation_value": -0.5801618039666586, "params": [[-0.0751, -0.0767, -0.06770000000000001, -0.0688], [0.07690000000000001, 0.0804, 0.0753, 0.07490000000000001]], "bitstrings": ["10001001", "01010100"], "total_optimization_steps": 10, "probabilities": [0.010136331382428644, 0.010136331382428646... | 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 | 4 | {"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[... | 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",
"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 |
9489ce4d26b81338a996936b33ca51e5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [254, 255], "expectation_value": -16.208853347324773, "params": null, "bitstrings": ["1100000001", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.07306725790024154, 0.35271431174698414], "optimization_time": 288.48654556274414} | -1.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(5) @ Z(2)) + 1.5 * (Z(8) @ Z(4)) + -3.5 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(5)) + -3.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(2)) + -2.5 * (Z(9) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(8)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-36.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 36.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03699001578432089) q[0];
rz(-0.0019772309980120376) q[0];
rx(-2.2185588509288414) q[1];
rz(0.1854982736483756) q[1];
rx(-0.06151402469837384) q[2];
rz(-0.04525476289443207) q[2];
rx(-0.0678853837598842) q[3];
rz(-0.1091061901622673) q[3];
rx(-0.0678853837598842) ... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIZZIIII",
"IIIIZIIZII",
"IZIIIZIIII",
"IZIIIIIZII",
"IZIIZIIIII",
"ZIIIIZIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZZIII",
"IIIIIIZZII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"ZIIZIIIIII",
"IIIZIIZIII"... | [
-1.5,
-3.5,
1,
-2.5,
1.5,
-3.5,
1,
-3.5,
-2.5,
-2.5,
-3.5,
-3,
1,
-3.5,
1,
-3,
0.5,
1,
0.5,
-2.5,
0.5,
0.5,
-3,
0.5,
1,
-2.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972446 | [
-0.03699001578432089,
-0.0019772309980120376,
-2.2185588509288414,
0.1854982736483756,
-0.06151402469837384,
-0.04525476289443207,
-0.0678853837598842,
-0.1091061901622673,
0.09010778039649131,
-0.13460713309887,
-0.11131066124565554,
-0.0017782861329004584,
0.1546158130596793,
3.146662755... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -36.5,
"target_ratio": 0.97,
"target_value": -35.405
} | 5 |
-7720153918483126428 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 1, 2, 4, 5, 7], [0, 1, 2, 4, 5, 6], [1, 3, 4, 5, 7], [0, 2, 3, 5], [0, 4, 6, 7], [2, 4, 5, 6, 7]]} | {"states": [199, 249], "expectation_value": -0.8281333035877628, "params": [[-0.37470000000000003], [0.3672]], "bitstrings": ["00111000", "00000110"], "total_optimization_steps": 40, "probabilities": [0.009997037736994532, 0.01010302661122282], "optimization_time": 3.9703564643859863} | 0.5 * (Z(3) @ Z(6)) + 0.11666666666666667 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(3)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.08333333333333334 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.15 * (Z(2) @ Z(0)) + 0.06666666666666667 * (Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.766666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7333333333333338, "smallest_bitstrings": ["00000110"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[3];
rz(-1.4958242587454214) q[3];
cx q[6], q[3];
cx q[6], q[0];
rz(-0.05691791174890258) q[0];
cx q[6], q[0];
cx q[3], q[0];
rz(0.04808304278938658) q[0];
cx q[3], q[0];
cx q[6], q[1];
rz(-0.214184610238... | 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": []} | [
"IZIIZIII",
"IZIIIIIZ",
"IIIIZIIZ",
"IZIIIIZI",
"IIIIZIZI",
"IIIIIIZZ",
"IZIIIZII",
"IIIIZZII",
"IIIIIZIZ",
"IIIIIZZI",
"IZIZIIII",
"IIIZZIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZIZII",
"IZZIIIII",
"IIZIZIII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZZIIIIII",
"ZIIIZII... | [
0.5,
0.11666666666666667,
0.08333333333333333,
0.03333333333333333,
0.05,
0.06666666666666667,
0.08333333333333334,
0.08333333333333333,
0.15,
0.06666666666666667,
0.16666666666666669,
0.05,
0.15,
0.11666666666666667,
0.11666666666666667,
0.08333333333333334,
0.13333333333333333,
0... | 0.827005 | [
-1.4958242587454214,
-0.05691791174890258,
0.04808304278938658,
-0.21418461023883795,
0.28188668670595096,
-0.010360983899959538,
-0.11234207594455742,
-0.47913499389709746,
-0.14865196432702807,
-0.48095017180303384,
-0.31077221107441544,
-0.05944071715518333,
0.0519118811146041,
-1.50557... | {
"n_parameters": 19,
"n_qubits": 8,
"optimal_eigenvalue": -1.766666666666667,
"target_ratio": 0.97,
"target_value": -1.713666666666667
} | 413 |
7d8b3d8ceec2d81b644dfcbc98592f50 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [38, 9], "expectation_value": -0.3705698737777435, "params": [[0.0792], [-0.0824]], "bitstrings": ["011001", "110110"], "total_optimization_steps": 10, "probabilities": [0.017655611270057044, 0.01817160704377622], "optimization_time": 1.249600887298584} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + 0.0 * Z(0) + -1.5 * Z(1) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["110110", "011101", "011110", "001111", "011011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.39269904215198215) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[1];
rz(-0.39269904215198215) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.39269904215198215) q[2];
cx q[3], q[2];
h q[4];
cx q[4], q[1];
rz(-0.39269904215198215) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIZZI",
"IIZZII",
"IIZIZI",
"IZIZII",
"IZIIZI",
"IZZIII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
-1.5,
-1.5,
-1
] | 0.521773 | [
-0.39269904215198215,
0.39269904771702413,
-0.785398098795778,
0.7853982839147303,
1.9634955101122697,
0.7016820247458506
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 155 |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.749941752698343, "params": [[0.053700000000000005, 0.045000000000000005, 0.0308, 0.0391], [-0.052000000000000005, -0.0468, -0.0379, -0.0379]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.02316618348676308, 0.024381558653803436], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | 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",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
c115cf772412a3efc6e8057443fcfc91 | 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": [934, 678], "expectation_value": -110.1197447888497, "params": [0.22160000000000002, 0.044700000000000004, 0.8508, 0.2127, 1.0939, 0.2934, 1.0791, 0.0371, 0.39430000000000004, 0.028800000000000003, 1.0697, 0.0002, 0.0032, -0.5169, 0.2619, -0.4903, 1.0946, 0.46080000000000004, 0.9077000000000001, -0.1177, -0.... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + -6.0 * Z(0) + 15.5 * Z(1) + 5.0 * Z(2) + -6.5 * Z(4) + 8.0 * Z(3) + -5.5 * Z(6) + 2.0 * Z(5) + 8.5 *... | 4 | 11 | 3 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10101011001"], "largest_eigenvalue": 153.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.0450087598344301) q[0];
ry(0.5768066248247911) q[1];
ry(0.09264399580261445) q[2];
ry(0.4553357309720831) q[3];
ry(0.05133724727125706) q[4];
ry(0.6747000700949605) q[5];
ry(0.18267254289961354) q[6];
ry(0.06547291659739464) q[7];
ry(-0.32242678945708303) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZIIIZIII",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZII",
"IZIZIIIIIII",
"IZZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
-6,
15.5,
5,
-6.5,
8,
-5.5,
2,
8.5,
10,
22.5,
-12.5
] | 0.975631 | [
-0.0450087598344301,
0.5768066248247911,
0.09264399580261445,
0.4553357309720831,
0.05133724727125706,
0.6747000700949605,
0.18267254289961354,
0.06547291659739464,
-0.32242678945708303,
1.2025991430530245,
0.06605400996846746,
-0.004698089733478224,
0.6146294233544088,
-0.0309551147847663... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -123,
"target_ratio": 0.97,
"target_value": -119.31
} | 8 |
3e01ea3076c5ef19a6bf30280e22d651 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [4095, 4087], "expectation_value": -0.09251891432591053, "params": [[0.014], [-0.022500000000000003]], "bitstrings": ["000000000000", "000000001000"], "total_optimization_steps": 10, "probabilities": [0.0002537548191862107, 0.0002540736580026349], "optimization_time": 2.624199867248535} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(9) @ Z(11)) + -1.5 * (Z(10) @ Z(11)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["000000001000"], "largest_eigenvalue": 23.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.5675563393522582) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-1.5675563393522582) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(1.703438971212122) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-1.5675563393522582) q[2];
cx q[3], q[2];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0... | {"node": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIIIZZIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIZIII",
"IIIIIIIIIIIZ",
"IIIIIIIII... | [
-2,
-2,
0.5,
-2,
0.5,
0.5,
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-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,
-0.5
] | 0.592974 | [
-1.5675563393522582,
1.703438971212122,
-1.5707388506620148,
3.049718619632754,
-1.570796427439472,
-1.5672577917956614
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 163 |
7d24aa80c4b1d40dd561c6b6bccbf7db | 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": -0.020750799517128424, "params": [[-0.0716], [0.0736]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6586876522540676e-05, 1.6586876522540683e-05], "optimization_time": 15.131342649459839} | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0003826530612244898 * (Z(4) @ Z(0)) + -0.0015306122448979593 * (Z(4) @ Z(2)) + 0.0003826530612244898 * (Z(5) @ Z(1)) + -0.0015306122448979593 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.001403... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0216836734693517], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216836734693335, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0211734693877443} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-1.1987153640005066) q[0];
ry(0.14240695872555387) q[0];
rz(2.0529066988131115) q[0];
rz(1.6595064324993265) q[1];
ry(2.8481604701391796) q[1];
rz(-1.2886904931873204) q[1];
rz(2.221705228086476) q[2];
ry(0.12435300188119536) q[2];
rz(-0.8405295378570301) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.0003826530612244898,
-0.0015306122448979593,
0.0003826530612244898,
-0.0015306122448979593,
0.25,
-0.0014030612244897958,
0.0002551020408163265,
0.00012755102040816325,
-0.0014030612244897958,
0.0002551020408163265,
0.0001275510... | 0.9731 | [
-0.07641397221533423,
0.7421845540039637,
1.5542554679933072,
0.026633741908021466,
0.05779252632127724,
1.0693930050686116,
0.01458424784568432,
0.5380130300441588,
1.3784349584216724,
-0.35709016823075057,
1.697661839266965,
-0.16984425759917726,
0.4836756330073117,
0.11002940922382481,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 11 |
ba516fd0ce7824e6228356c5f232cfab | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [9, 3], "expectation_value": -28.663102579445237, "params": null, "bitstrings": ["1110110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.15144164514219186, 0.6366779421152876], "optimization_time": 108.9995059967041} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.16804737694979255) q[0];
rz(0.2082288294493435) q[0];
rx(0.15075704403065596) q[1];
rz(0.3081286351501191) q[1];
rx(-0.015577567956415184) q[2];
rz(0.2761028885907031) q[2];
rx(0.051898684280336976) q[3];
rz(0.6464979825533907) q[3];
rx(-0.06236402491160774) q[4];
... | null | {"k": 5} | {"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(5.3058) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
3,
-10,
-10,
-10.5,
-10.5,
-10,
-9.5,
-9.5
] | 0.970246 | [
0.16804737694979255,
0.12269839746206923,
0.15075704403065598,
0.3741847015101376,
-0.015577567956415184,
0.3742638042105089,
0.051898684280336976,
0.5257644350645199,
-0.06236402491160774,
0.18361076482660355,
0.4922950906627197,
0.16963751239899966,
0.68348045398206,
0.11277220593759216,... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 6 |
fbcecd05a1850dfc85aa20c299edabcb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 5}, {"weight":... | {"states": [970, 458], "expectation_value": -63.735744901409404, "params": [1.0052, 0.059800000000000006, 1.0047000000000001, 0.0019, 1.0038, 0.0613, 0.9678, 0.006200000000000001, 1.0002, 0.0658, 1.0032, 0.009000000000000001, 0.9976, 0.057, 0.9956, 0.0051, 0.8473, 0.0704, -0.5105000000000001, 0.0048000000000000004, 0.9... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 13.5 * Z(1) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-98.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1000110101"], "largest_eigenvalue": 186.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.674675270889735) q[0];
rz(1.4328000095487479) q[0];
rx(1.1353780312922952) q[1];
rz(1.6277074297909984) q[1];
rx(0.384511280448143) q[2];
rz(1.3576634967557277) q[2];
rx(-0.028042270282080648) q[3];
rz(1.5846245566779622) q[3];
rx(0.0573703470683285) q[4];
rz(1.84... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
13.5,
8.5,
17,
21,
1.5,
16.5,
7,
11,
5,
-8.5
] | 0.973112 | [
0.6746752708897349,
-0.1379963172461484,
1.135378031292295,
0.05691110299610223,
0.384511280448143,
-0.21313283003916905,
-0.028042270282080645,
0.013828229883064258,
0.057370347068328505,
0.2767602591256788,
-0.14242488635766964,
0.1379757805001052,
0.11569467427909641,
-0.537863776742910... | {
"n_parameters": 145,
"n_qubits": 10,
"optimal_eigenvalue": -98.5,
"target_ratio": 0.97,
"target_value": -95.545
} | 204 |
f77dd16494069058366da267be47f963 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [51, 58], "expectation_value": -0.22591458711816717, "params": [[0.0702], [-0.0711]], "bitstrings": ["1001100", "1000101"], "total_optimization_steps": 10, "probabilities": [0.009008197401637786, 0.009146584066765207], "optimization_time": 1.4579014778137207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -2.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(3) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101", "1001100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4364564874160545) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.4364564874160545) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.4364564874160545) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8311764985536017) q[1];
rx(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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZZIIII",
"IIZZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-2,
-0.5,
-0.5,
0
] | 0.977573 | [
-0.4364564874160545,
-0.8311764985536005,
0.7400739315621497,
1.577334905899786,
0.6164885882326465,
0.06933608484642381,
0.4201811237717389,
-0.7524128290221637,
0.5325865577688524,
0.006837513518359015,
1.3875792949960601,
-0.2760496817855154,
0.5982010841664613,
0.5255744993731798,
0.... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 64 |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [6, 9], "expectation_value": -0.9801499187945472, "params": [[0.057300000000000004], [-0.048100000000000004]], "bitstrings": ["11001", "10110"], "total_optimization_steps": 10, "probabilities": [0.03537695538745073, 0.035376955387450754], "optimization_time": 1.493431568145752} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"], "largest_eigenvalue": 31.75} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
1.75,
1.75,
1.75,
2,
2,
-2.75,
-3,
-2.75,
-2.5,
-2.5
] | 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 |
e24c28a1225e0371d997320aeb87abff | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3, 116], "expectation_value": -0.918184489257991, "params": [[0.06670000000000001, 0.0555, -0.0212], [-0.0599, -0.058100000000000006, -0.026500000000000003]], "bitstrings": ["1111100", "0001011"], "total_optimization_steps": 10, "probabilities": [0.011366858604401916, 0.012599815738041807], "optimization_ti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(3) + -1.0 * Z(0) + -2.0 * Z(5) + -1.5 * Z(6) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0001011"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.1286784485183885) q[0];
rz(-pi) q[0];
ry(-3.1286784485183885) q[1];
rz(-pi) q[1];
h q[2];
ry(1.4280074920992123) q[2];
h q[3];
ry(-1.57483087522206) q[3];
ry(-3.06011872053978) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(-0.061314901645671084) q[4];
cx q[2], q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"IZZIIII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-2,
-1.5,
-1,
-0.5,
-0.5
] | 0.997889 | [
-1.57483087522206,
-1.5582277347958484,
1.4280074920992123,
0.12262980329134217,
0.2597492592485593,
-0.010901440633785661,
-0.01106501863558813,
-0.04011769675080307
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.119159466870332, "params": [0.3705, 0.4788, 0.004200000000000001, 0.6305000000000001, -0.0001, 0.621, 0.0037, 0.6973, -0.0022, -0.6636000000000001, 0.0017000000000000001, 0.7013, 0.006, 0.7201000000000001, 0.0025, 0.6978000000000001, 0.7843, 0.0129, 0.8283, 0.206500000000... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 4 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"], "largest_eigenvalue": 61.35714285714286} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.23187867410549912) q[3];
cx q[4], q[3];
rz(0.8132055690128235) q[3];
rx(0.035835034364257105) q[3];
rz(0.8132055690128235) q[4];
rx(0.035835034364257105) q[4];
cx q[4], q[3];
rz(-0.05443002659568791) q[3];
cx ... | 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": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIIZIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIZIIZIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
1,
0.8571428571428572,
1,
1.7142857142857144,
-1,
-0.5,
-1,
-1,
-1,
-2,
-1,
-2,
-2,
-2,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
0.5,
1,
0.5,
0.5,
-0.5,
-1,
1,
1,
-1,
-2,
1,
-0.07142857142857142,
2.5,
1.14285714... | 0.935118 | [
-0.32731231516638337,
0.14897380147739106,
0.3033132207069555,
-0.2901323363886198,
-0.02932935189490087,
0.10782745201277463,
-0.2881621225257422,
1.141182308632574,
0.23187867410549912,
-0.6141242174422797,
0.03341520145894577,
0.6529864875408972,
0.6390851350237903,
0.859657635171111,
... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -12.214285714285715,
"target_ratio": 0.97,
"target_value": -11.847857142857144
} | 500 |
272b7f7d40fcddb1ed0126c6a9e7e713 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [367, 111], "expectation_value": -3.0823527662069847, "params": [0.0054, 0.1547, 0.8545, 0.5739000000000001, 0.1962, 0.649, 1.3937000000000002, 0.3196, 1.3922, 0.0029000000000000002, 0.0023, 0.9978, 1.01, -0.0397, 1.3946, -0.19890000000000002, 1.3941000000000001, -0.0021000000000000003, 1.4027, 0.00060000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(1) @ Z(8)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.6875, "smallest_bitstrings": ["1010100010", "1010110000", "1010010010", "1100011000", "1110010000", "1001011000", "1010010100", "1010011000", "11000... | 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[... | 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": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIZZZI",
"IIIIZZIIII",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIZIZIIZI",
"IIZIIZIIZI",
"IZIIIZIIZI",
"IIZZIIIIZI",
"IZIZIIIIZI"... | [
0.25,
0.25,
0.25,
-0.25,
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,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,... | 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 |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -15.69809859319785, "params": [[0.0269, 0.0143, 0.015300000000000001, 0.0004], [-0.06620000000000001, -0.0658, -0.0728, -0.0539]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.011049074922008151, 0.01247918388248107], "optimization_... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 7 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3818771377724905) q[0];
rz(-1.9103690503996393) q[0];
rx(-0.11263134617702725) q[1];
rz(0.6007254116023226) q[1];
rx(-0.002501317637743139) q[2];
rz(0.08539354915702879) q[2];
rx(-0.0783377712412768) q[3];
rz(1.925375141265496) q[3];
rx(0.012064649750713419) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
-7,
-7,
-7.5,
-7,
-7,
-6.5,
-6.5,
-6.5
] | 0.981014 | [
-0.3818771377724905,
-1.9103690503996393,
-0.11263134617702725,
0.6007254116023226,
-0.002501317637743139,
0.08539354915702879,
-0.0783377712412768,
1.925375141265496,
0.012064649750713419,
0.3747330441849217,
3.106996129162009,
-0.11573936158740605,
3.349533670738013,
0.27690137576373397,... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 22 |
4414867571136143966 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 3, 5], [3, 5, 6], [1, 6, 7], [2, 3, 7], [1, 2, 3]]} | {"states": [91, 93], "expectation_value": -1.9739430912012899, "params": null, "bitstrings": ["10100100", "10100010"], "total_optimization_steps": 38, "probabilities": [0.024353259681734785, 0.9531918254579163], "optimization_time": 40.94807004928589} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.18704322371134413) q[0];
h q[1];
ry(1.2530220838112014) q[1];
h q[2];
ry(-0.41394269599555183) q[2];
cx q[1], q[2];
ry(0.41394269599555183) q[2];
cx q[1], q[2];
ry(0.02825487802883335) q[1];
ry(-0.2696917692398946) q[2];
h q[3];
ry(1.5926636653983983) q[3]... | 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(1.5298) 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[... | [
"IIIIIZZI",
"IIIZIZII",
"IIIZIIZI",
"IIIIZZII",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,... | 0.976851 | [
1.5926636653983983,
1.2530220838112014,
-0.8278853919911037,
0.0565097560576667,
-0.5393835384797891,
0.6997642402920821,
0.8749931453728178,
-0.3414657324200969,
-0.5750356730248876,
0.4661499113456466,
-0.6712791990779794,
0.41169796366059586,
0.49414882173117,
-0.46008328359088724,
-0... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 1 |
3aa10d162eda3c9ca8f6ec83f6012eb4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [173, 109], "expectation_value": -5.567917992618752, "params": [[0.0082, 0.0374], [-0.015300000000000001, -0.038]], "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00591127298897366, 0.006253042032921083], "optimization_time": 2.6513473987579346} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 2.5 * Z(0) + 7.5 * Z(1) + 19.5 * Z(2) + 14.0 * Z(5) + 7.5 * Z(3) + 18.5 * Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(1.5882009390295242e-08) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(1.5882009390295242e-08) q[2];
cx q[0], q[2];
rz(1.5707962820822257) q[0];
rx(-1.5707963581549211) q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(1.5882009390295242e... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIZIIZII",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IIZZIIII",
"IIIZZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
2.5,
7.5,
19.5,
14,
7.5,
18.5,
1.5,
9
] | 0.861111 | [
1.5882009390295242e-8,
1.5707962820822254,
-1.5707964530539718,
1.5707964206048866,
1.5707964072880316,
1.5707964307479403,
-1.5707964795451048,
1.5707964388402988,
-1.5707963581549211,
0.315580327657694,
1.8060170780225875,
-0.7001769025517574,
2.2329584031738667,
2.005324223502904,
1.6... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 478 |
a6b55510d801a5adbb40af21b637103f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": ... | {"states": [31, 255], "expectation_value": -11.079712400109667, "params": null, "bitstrings": ["1111100000", "1100000000"], "total_optimization_steps": 100, "probabilities": [0.06164998678552947, 0.5892026278932536], "optimization_time": 225.34001851081848} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.23074334202937433) q[0];
cx q[1], q[0];
rz(-1.6945576451742816) q[0];
rx(-0.8660449364081567) q[0];
rz(-1.6945576451742816) q[1];
rx(-0.8660449364081567) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.1627155476015958) q[2];
cx q[3], q[... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIZZIIIII",
"IZZIIIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
0.5,
-1.5,
-1.5,
0.5,
-2,
-2,
0.5,
-2.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.505572 | [
-0.23074334202937433,
-1.1627155476015958,
-0.9253551215159689,
-0.526037244139037,
-1.6945576451742816,
-0.8660449364081567
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 176 |
bfcc016c6d32554855d911056b5152b6 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -4.142108360843188, "params": [[-0.0724, -0.0776], [0.06910000000000001, 0.0729]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.011046135623686077, 0.011260846632083056], "optimization_time": 3.7415049076080322} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
6498689033705023154 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 5, 8, 9, 10], [9, 7], [1, 2, 4, 6, 9, 10], [0, 2, 3, 7, 11], [0, 5, 6, 7, 10, 11], [0, 3, 5, 6, 7, 11], [2, 3, 5, 6, 7, 11], [0, 1, 3, 5, 6, 8, 9, 11], [2, 3, 5, 9, 11], [0, 1, 3, 5, 10, 11], [0, 2, 3, 5, 11], [0, 3, 4, 7, 10, 11], [0, 2, 4, 7, 10]... | {"states": [4089, 4088], "expectation_value": -2.846236423940316, "params": [1.1761000000000001, -0.0164, 1.175, 0.0099, 1.181, -0.002, 1.1855, -0.0047, 1.1778, 0.0037, 1.1782000000000001, 0.007500000000000001, 1.1831, -0.0008, 1.1817, -0.0019, 1.1846, -0.0026000000000000003, 1.187, 0.0073, 1.1844000000000001, -0.01560... | 0.16785714285714287 * (Z(0) @ Z(1)) + 0.08452380952380953 * (Z(5) @ Z(1)) + 0.2511904761904762 * (Z(5) @ Z(0)) + 0.08452380952380953 * (Z(8) @ Z(1)) + 0.1523809523809524 * (Z(8) @ Z(0)) + 0.06904761904761905 * (Z(8) @ Z(5)) + 0.08452380952380953 * (Z(9) @ Z(1)) + 0.11904761904761905 * (Z(9) @ Z(0)) + 0.2023809523809523... | 8 | 12 | 1 | {"smallest_eigenvalues": [-4.302380952380951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.266666666666667, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 20.499999999999993} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.6592008384942294) q[0];
rz(1.7377672211638302) q[0];
rx(0.85987843783288) q[1];
rz(-0.2772192086668886) q[1];
cx q[1], q[0];
ry(-0.12026446104999283) q[0];
cx q[1], q[0];
ry(1.5264103443742731) q[0];
rz(-1.7686842798112803) q[0];
rx(1.190297575288423) q[1];
rz(1.5... | 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIIIIIZ",
"IIIIZIZII... | [
0.16785714285714287,
0.08452380952380953,
0.2511904761904762,
0.08452380952380953,
0.1523809523809524,
0.06904761904761905,
0.08452380952380953,
0.11904761904761905,
0.20238095238095238,
0.0869047619047619,
0.1,
0.23333333333333334,
0.11785714285714285,
0.10119047619047619,
0.08452380952... | 0.973436 | [
1.6592008384942292,
0.1669708943689337,
0.85987843783288,
-0.2772192086668886,
1.6382465227880605,
0.2985426079326626,
1.2617856518565274,
0.31631238493363745,
1.6109591543399764,
0.11922434050197599,
1.2097024752538859,
0.2034862765767356,
1.4405555625449598,
0.1021018864916581,
1.30971... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -4.302380952380951,
"target_ratio": 0.97,
"target_value": -4.173309523809523
} | 27 |
dc72488dd6090670edbeccc77e6da35f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.730669338024664, "params": [[-0.0453, -0.06570000000000001, -0.0811], [0.0449, 0.0631, 0.0728]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.049452099926640056, 0.05407805712162611], "optimization_time": 2.172506332397461} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.022458364995426305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.7680783155629591) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(-1.601733329848004) q[3];
cx q[1], q[3];
rz(-0.5097096949881657) q[1];
rx(-1.660495736858362) q[1]... | 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",
"ZIIIZ",
"IIZZI",
"IZIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
-0.25,
0.5,
-0.5,
-1.5,
-0.75,
-1.25,
-0.25,
0.5,
0.25,
0.75
] | 0.981681 | [
-0.022458364995426305,
1.7047053329317832,
-1.7680783155629591,
-1.601733329848004,
-2.8853817213992103,
-0.5097096949881654,
1.464742343611176,
1.1540289150876992,
-1.6604957368583617,
0.003138072776439696,
1.489664131891325,
-1.1346427705466027,
-1.409100124374533,
-1.1761233738238577,
... | {
"n_parameters": 18,
"n_qubits": 5,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 245 |
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