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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b03062475f1287ad31bf0aaec748b841 | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [0, 963], "expectation_value": -20.466512083548395, "params": [-0.4035, -0.17420000000000002, -0.2606, 1.8355000000000001, 0.7833, 1.0465, 0.1744, 1.8884, 0.8226, 1.4547, 0.034300000000000004, 1.6394, -0.7972, 1.4033, -0.10550000000000001, 1.5513000000000001, -0.0033, 1.5141, 0.005200000000000001, -0.2124, 0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + -2.0 *... | 6 | 10 | 2 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000111100"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.8533030903316493) q[0];
rz(2.0531308600922245) q[0];
rx(0.35621584720791755) q[1];
rz(1.974764623428082) q[1];
rx(1.735087997260482) q[2];
rz(3.0493011326905908) q[2];
rx(0.6571776399995019) q[3];
rz(2.6805543511212413) q[3];
rx(0.10578863356944496) q[4];
rz(2.172... | OPENQASM 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII"... | [
-1.5,
-1.5,
-1.5,
-2.5,
-2.5,
-2.5,
-2.5,
-2,
1,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-2,
1.5,
-1.5,
1,
0.5,
0.5,
0.5
] | 0.97057 | [
0.8533030903316492,
0.48233453329732806,
0.35621584720791755,
0.40396829663318534,
1.7350879972604822,
1.4785048058956942,
0.6571776399995019,
1.1097580243263452,
0.10578863356944494,
0.6016269032756117,
-0.04631051449482683,
-0.1198304868911331,
0.04511545154645174,
0.24081034919981864,
... | {
"n_parameters": 143,
"n_qubits": 10,
"optimal_eigenvalue": -24,
"target_ratio": 0.97,
"target_value": -23.28
} | 385 |
8b93e6a5a58e4b68e1b37a0c1b053a09 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [188, 172], "expectation_value": -22.580808358699972, "params": [[[0.47150000000000003, 0.0053], [1.8978000000000002, 0.0059], [0.24960000000000002, 0.008700000000000001], [1.8976000000000002, 0.0067], [1.4868000000000001, 0.001], [1.9040000000000001, 0.009600000000000001], [1.8999000000000001, 0.0028], [0.8... | 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(0)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["101010011"], "largest_eigenvalue": 78.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2431375803182583) q[0];
rz(-0.15505386736086527) q[0];
rx(3.64396731393215) q[1];
rz(0.28293105288081405) q[1];
rx(-0.027787479713854438) q[2];
rz(0.3235414770961488) q[2];
rx(3.1469122384947847) q[3];
rz(0.9139161575053532) q[3];
rx(-0.12478583517004965) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIZIIZIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIZZIIIII",
"IZIZIIIII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
6,
-5,
1.5,
-4,
0,
6.5,
-2,
1.5,
-1
] | 0.976484 | [
-0.2431375803182583,
-0.15505386736086527,
3.64396731393215,
0.28293105288081405,
-0.027787479713854438,
0.3235414770961488,
3.1469122384947847,
0.9139161575053532,
-0.12478583517004965,
-0.9051661298248386,
2.8962755345983586,
-0.7278106905025189,
3.392723884959154,
-0.8524924350230373,
... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -52.5,
"target_ratio": 0.97,
"target_value": -50.925
} | 22 |
48366684690379727964cafb75212259 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 8}, {"sour... | {"states": [322, 354], "expectation_value": -6.9438131036211646, "params": [[[0.0022, -0.2617, 0.0038, 0.0049], [-2.6294, -0.2616, 0.0021000000000000003, 0.0063], [1.5734000000000001, -0.0022, 1.5733000000000001, 0.0064], [-1.0388, -1.1896, -1.038, 0.0041], [0.0025, 1.5964, -0.0025, 0.008], [-0.0026000000000000003, 0.2... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) ... | 11 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["010011101", "010011110", "010111010"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.015574310538445924) q[0];
rz(-0.060819148274894916) q[0];
ry(-2.8263128513024167) q[1];
rz(-0.1749286190857446) q[1];
cx q[1], q[0];
ry(-0.060323559719394064) q[1];
rz(0.05157481126366175) q[1];
ry(1.72371970513827) q[2];
rz(-0.0832681237509367) q[2];
ry(-1.3873133... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIIZIZI",
"IIIIZZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIZIZIIII",
"IIZIIZIII",
"IIZZIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-2.5,
-1.5,
-1,
-0.5,
-1.5,
-1.5,
-1
] | 0.974345 | [
0.015574310538445924,
-0.060819148274894916,
-2.8263128513024167,
-0.1749286190857446,
1.72371970513827,
-0.0832681237509367,
-1.3873133431343403,
-0.4751189535961056,
0.014070870096301948,
1.5065438221025709,
0.08946490628659304,
0.4384719948397296,
-1.9158197518186075,
-0.008714971058394... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 14 |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 89.63757014274597} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
6966027394882854856 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 4], [2, 3, 4], [0, 2, 3]]} | {"states": [7, 21], "expectation_value": -0.960124613743651, "params": null, "bitstrings": ["11000", "01010"], "total_optimization_steps": 20, "probabilities": [0.02259875836662623, 0.9354440137987287], "optimization_time": 12.596508979797363} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["01010", "01100"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.28174674471078687) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.28174674471078687) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.28174674471078687) q[1];
rx(-0.7622783459529742) q[1];
rz(0.28174674471078687) q[4];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"ZIIZI",
"ZIIIZ",
"IIZIZ",
"ZIZII",
"IZIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333
] | 0.598391 | [
0.28174674471078687,
0.6657963882348975,
-0.7622783459529742
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 92 |
c4fd4922d2c165ab37a0955c733d543f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [19, 51], "expectation_value": -2.854912401124033, "params": [[[0.0028, 0.0002], [1.6477000000000002, 0.0066], [1.8041, 0.006200000000000001], [-0.0134, 0.0014], [1.4912, 0.0057], [1.8089000000000002, 0.0057], [1.8099, 0.006500000000000001]]], "bitstrings": ["1101100", "1001100"], "total_optimization_steps":... | 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(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) + 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": ["1101000", "1001100"], "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(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"IIIZZII",
"IZIZIII",
"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,
-1.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 6], "expectation_value": -1.4999059353941624, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 9, "probabilities": [1.7262078512802632e-05, 0.9999395445786815], "optimization_time": 2.154014825820923} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[2];\nry(1.4417) ... | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
adf83a7a772b7f772a66d54f36fd7522 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.020363018943849787, "params": [[-0.020300000000000002], [0.0219]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00399318582595618, 0.004000259978339206], "optimization_time": 2.4917213916778564} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.4434130568765927) q[0];
h q[1];
ry(0.06002088832999257) q[1];
h q[2];
ry(0.20888663163693805) q[2];
h q[3];
cx q[3], q[1];
ry(-0.06002088832999257) q[1];
cx q[3], q[1];
ry(1.4692332172117415) q[1];
ry(1.40335167153491) q[3];
h q[4];
ry(0.514467726155474) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIZI",
"IIZIZIII",
"IZZIIIII",
"IIZIIZII",
"IIIZZIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIII... | [
-0.25,
-1,
-0.25,
-1,
-0.25,
-0.5,
-0.5,
1,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
0,
1,
-0.25,
-0.5,
0.25,
0
] | 0.970149 | [
1.486113011210929,
0.12004177665998514,
1.40335167153491,
1.4692332172117415,
1.028935452310948,
1.535224711760082,
-0.8868261137531854,
0.4177732632738761,
1.2979805877816588,
0.3664680005410001,
-0.4998226785072861,
0.15189024077444385,
0.4825016790234395,
0.27013092329179234,
0.016721... | {
"n_parameters": 54,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 51 |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"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": [8, 7], "expectation_value": -0.19422411068853346, "params": [[-0.0763, -0.046700000000000005], [0.0823, 0.07]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.07263454954194659, 0.07721757945745504], "optimization_time": 1.5004267692565918} | -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 | 2 | {"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... | 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2]... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"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 |
1666324550800120180 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3, 11, 6], [1, 3, 5, 9, 11], [1, 2, 3, 5, 6, 7, 10], [8, 0, 5], [0, 1, 7, 8, 9, 10], [0, 2, 4, 5, 7], [10, 11], [11, 9, 3, 7], [1, 3, 4, 5, 6, 7, 11], [0, 5, 6], [0, 1, 2, 4, 5, 9, 10], [0, 1, 3, 4, 5], [8, 4, 5], [0, 3, 4, 5, 9], [9, 5, 6, 7], [8, 2,... | {"states": [3695, 2671], "expectation_value": -4.61475275401734, "params": [1.5866, 1.5584, 3.0901, 1.7992000000000001, 1.5752000000000002, 1.5718, -0.0028, -0.0028, -0.0023, -0.0023, 1.5822, 1.5649000000000002, 1.5664, 1.5704, -0.0025, -0.0026000000000000003, 1.5810000000000002, 1.5658, 1.5712000000000002, 1.5745, 1.5... | 0.25 * (Z(10) @ Z(5)) + 0.24047619047619048 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(10)) + 0.18095238095238092 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(10)) + 0.19047619047619047 * (Z(8) @ Z(3)) + 0.14761904761904762 * (Z(1) @ Z(5)) + 0.11666666666666667 * (Z(1) @ Z(10)) + 0.07380952380952381 * (Z(1)... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.645238095238095], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.571428571428572, "smallest_bitstrings": ["010110010000"], "largest_eigenvalue": 19.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6768377518389406) q[0];
rz(0.03629711182058243) q[0];
ry(3.175565874226745) q[1];
ry(1.6676604922411897) q[2];
ry(0.06854477026200757) q[3];
ry(-0.08274509307371615) q[4];
ry(1.735694767674276) q[5];
ry(1.6354952830245646) q[6];
ry(0.13801522000915858) q[7];
ry(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZIIIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIZIIZIIIII",
"IZIZIIIIIIII",
"IIIZIIIIZIII",
"IIIIIIZIIIZI",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IIIZIIIIIIZI",
"IIIIZIZIIIII",
"IZIIZIIIIIII",
"IIIIZIIIZIII",
"IIIZZIIIIIII",
"IIIIZIIIIIZI",
"ZIIIIIZIIIII",
"ZZIIIIIIIIII",
"ZIIIIIIIZ... | [
0.25,
0.24047619047619048,
0.08333333333333333,
0.18095238095238092,
0.08333333333333333,
0.19047619047619047,
0.14761904761904762,
0.11666666666666667,
0.07380952380952381,
0.047619047619047616,
0.24761904761904763,
0.3333333333333333,
0.15714285714285714,
0.4309523809523809,
0.17142857... | 0.985475 | [
1.6768377518389406,
3.175565874226745,
1.6676604922411897,
0.06854477026200757,
-0.08274509307371615,
1.735694767674276,
1.6354952830245646,
0.13801522000915858,
1.4430378782985338,
1.5091612095680047,
1.5684241811439394,
0.07259422364116486,
-0.051861964518016446,
-0.048604816590586894,
... | {
"n_parameters": 40,
"n_qubits": 12,
"optimal_eigenvalue": -4.645238095238095,
"target_ratio": 0.97,
"target_value": -4.505880952380951
} | 1 |
ab38e7699e076f39debd51236acd2336 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [63, 31], "expectation_value": -0.5995405997350338, "params": [[-0.022000000000000002, -0.006200000000000001, -0.0528, -0.063], [0.0285, -0.027, 0.034300000000000004, 0.0584]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.021282048567144763, 0.02292247681934141], "o... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.75 * (Z(2) @ Z(3)) + 0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(3) + 0.75 * Z(4) + 0.75 * Z(2) + -0.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 7.75} | 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(1.7953384840481424e-08) q[0];
h q[0];
rx(-4.752371779122262e-08) q[1];
h q[1];
rx(1.7896803644321402) q[2];
h q[2];
rx(1.0850151974205464) 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": []} | [
"IIIIZZ",
"IIZIZI",
"IZIIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
-0.5,
-1.25,
-0.25,
-0.75,
-0.75,
0.75,
-1.25,
-0.25,
1,
-0.25,
-1.5,
0.75,
0.75,
-0.75
] | 0.333333 | [
1.7953384840481424e-8,
-4.752371779122262e-8,
1.7896803644321402,
1.0850151974205464,
-5.648034782545892e-8,
1.8402525196265138e-8,
-0.5321727826909078,
0.15155709060402683,
0.3534217240299965,
1.4110817758126415,
1.429681773746566,
1.053028979848131,
0.5840799006992541,
1.3143299830258015... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 325 |
aa593368bb5365cab30d0ff25322eaa9 | 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": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [65, 1], "expectation_value": -0.4758467804507967, "params": [[-0.0682], [0.0738]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0025615278127072245, 0.0026332433568877498], "optimization_time": 1.8170866966247559} | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["110111110", "111111100", "110111100", "111111110"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2604022855737892) q[0];
rz(-0.01537861649750738) q[0];
rx(-0.12818536156118715) q[1];
rz(-0.0869066548434887) q[1];
rx(0.17384250003208646) q[2];
rz(0.07010493845988597) q[2];
rx(0.1597859737204616) q[3];
rz(-0.1345468314568281) q[3];
rx(-0.018218472456728235) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IIIZIZIII",
"IIIZIIZII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIZII",
"IIIIZIIII",
"IZIIIIIII"
] | [
-0.75,
1,
-1,
-0.75,
-0.75,
-1,
-0.25,
-1,
-0.75,
-0.5,
-0.25,
1,
0.25,
-0.5,
-2.5,
1,
-0.25,
1.75
] | 0.972242 | [
-0.2604022855737892,
0.018502660556804107,
-0.12818536156118712,
-0.06547363986262428,
0.17384250003208646,
0.07050808954344356,
0.1597859737204616,
-0.08364495497588834,
-0.018218472456728235,
-0.32470608609845375,
-0.048560420322889965,
-0.08972281135762039,
-0.06810126215350618,
0.05827... | {
"n_parameters": 161,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 5 |
f82f40377b76a8640da93298d26960f8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -8.984361814172507, "params": [-0.003, 0.0002, -0.0025, -0.0008, -0.0004, -0.004, 0.3018, 0.3022, -0.0056, -0.007, 0.0001, -0.0046, -0.0012000000000000001, -0.0004, 0.0008, -0.0057, -0.0014, -0.0024000000000000002, -0.0011, -0.0026000000000000003, 0.0001, -0.006900000000000001,... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(... | 14 | 12 | 3 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["111011111111", "110010001100", "100010001100", "111010111101", "110010101100", "111010111111"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.5515556077490392) q[0];
rz(1.8374810904936787) q[0];
rx(0.08740647993379806) q[1];
rz(2.184866891058136) q[1];
rx(0.086747414622514) q[2];
rz(1.8712074857795162) q[2];
rx(1.301651959384785) q[3];
rz(1.8001921034376256) q[3];
rx(-0.09395576358804522) q[4];
rz(2.05... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIZIIIZIIII",
"IIIIIIIZIIZI",
"IIIZZIIIIIII",
"IIIIZIIIZIII",
"IIIIZIIZIIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IZIZIIIIIIII",
"IZIIIIZIIIII",
"IIIIIIIIIZZI",
"IIIIZIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIZIZIII... | [
-0.5,
-0.5,
-0.5,
1.25,
-1,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
-0.25,
-0.5,
0.5,
-0.25,
-1,
0.5,
1,
0.25,
-0.5,
0.75,
0.5... | 0.975349 | [
-0.5515556077490393,
0.2666847636987818,
0.08740647993379806,
0.6140705642632394,
0.08674741462251398,
0.30041115898461934,
1.3016519593847853,
0.22939577664272853,
-0.09395576358804522,
0.48158780937704987,
0.4652431904829656,
-0.16976899521686653,
-0.1120323398030539,
0.33314705911207365... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 16 |
-2248723971481903880 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 7], [1, 3], [1, 4], [8, 1], [0, 4], [2, 4], [8, 2], [8, 4], [5, 7], [0, 2], [2, 7], [0, 5], [3, 6], [8, 5], [0, 6]]} | {"states": [204, 307], "expectation_value": -0.12251294342708365, "params": [[-0.0614], [0.0636]], "bitstrings": ["100110011", "011001100"], "total_optimization_steps": 10, "probabilities": [0.002269112930701412, 0.002269112930701412], "optimization_time": 2.850498676300049} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100110011", "011001100", "011011100", "100100011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.17165820847092023) q[0];
h q[1];
ry(1.6786884317070432) q[1];
h q[2];
ry(0.8543192689597565) q[2];
h q[3];
ry(-0.6387359049794779) q[3];
h q[4];
ry(-0.35365309455065286) q[4];
h q[5];
ry(0.7926312455272634) q[5];
h q[6];
cx q[6], q[0];
ry(0.171658208470920... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[8], q[7];
rz(x0) q[7];
cx q[8], q[7];
cx q[8], q[1];
rz(x0) q[1];
cx q[8], q[1];... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIIII",
"ZZIIIIIII",
"ZIIIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"ZIIIZIIII",
"IIIIZIIZI",
"IIZIIIIIZ",
"IIIIZIIIZ",
"ZIIIIIZII",
"IZIIIIZII",
"IIIIZIZII",
"IIIIIIZIZ",
"ZIIZIIIII",
"IZIZIIIII",
"IIIZIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.97324 | [
-0.34331641694184045,
1.4794951739908537,
1.5852624910545268,
-1.1235677200300813,
1.708638537919513,
-1.1268900880086754,
-1.2774718099589557,
1.6786884317070432,
-1.4714003620402256,
0.14212692150874168,
-0.20740490259761268,
-0.7073061891013057,
-0.8582344894966625,
-0.09128346971042797... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 8 |
12ada348b9c11023d80d21b40d9fce6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.10255093520689469, "params": [[0.0563], [-0.05]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03336429334485492, 0.03389633845976765], "optimization_time": 1.436140775680542} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.421275234044104) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.08975213145237756) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2466738875561171) q[3];
cx q[0], q[3];
rz(-0.7548770243522678) q[3];
rx(-1.1727560892462083) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[3];
rz(x1) q[3];
cx q[1], ... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"IIZZI",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.5,
-1,
-0.25,
-0.5,
1,
-1,
-0.5,
-0.25,
-0.75,
0.5,
1
] | 0.970009 | [
-0.421275234044104,
-0.08975213145237756,
-0.2466738875561171,
0.2764818189504322,
-0.754877024352268,
-0.039697426295050006,
-1.1727560892462083,
-0.6047490633200694,
-0.04582608500570343,
-0.35589128305044065,
0.4950866191469228,
-0.3850968734273578,
1.0521907678224391,
-1.08956021545216... | {
"n_parameters": 28,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 132 |
91ee5f0f4255f3e469e33f428a617749 | 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": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [378, 234], "expectation_value": -33.57148182923349, "params": [[-0.0448, -0.006, 0.006200000000000001, 0.0044], [0.08080000000000001, 0.077, 0.07060000000000001, 0.07060000000000001]], "bitstrings": ["010000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.015222140176231917, 0.0180195... | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"], "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(0.1029303655620119) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1029303655620119) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1029303655620119) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.1029303655620119) q[3];
cx q[0], q[3];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"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,
14.5,
8.5,
14.5,
12,
3.5,
11.5,
7.5,
13,
3
] | 0.974467 | [
0.1029303655620119,
1.0465998757504669,
0.23951340859321296,
1.8119189140346126,
-0.6838871026721113,
1.1761664275029378,
-0.28379909071408294,
0.5399637562985133,
-1.3515877448197355,
-0.1889742116324448,
-0.11332813777595517,
0.4520013129626884,
-1.7022300146239937,
-0.34242647087101163,... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -74.5,
"target_ratio": 0.97,
"target_value": -72.265
} | 66 |
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": [63, 31], "expectation_value": -0.8413078055198585, "params": [[0.030600000000000002, 0.0099, 0.0371], [-0.0562, -0.017, -0.0236]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.01963357768447652, 0.02013981173151557], "optimization_time": 21.27611804008484} | -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 | 3 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.208567032423215) q[0];
h q[0];
rx(1.570796298634827) q[1];
h q[1];
rx(-0.49515335572932806) q[2];
h q[2];
rx(-0.5987634513077912) q[3];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] 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 |
da1b1c85f8e653b867f6f4bdba638afa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [10, 7], "expectation_value": -3.616000298677426, "params": [[-0.2253, -0.12860000000000002], [0.2341, 0.1897]], "bitstrings": ["1110101", "1111000"], "total_optimization_steps": 30, "probabilities": [0.038832375723358604, 0.040015848755092294], "optimization_time": 4.071967601776123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "1111000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1,
-0.5,
0
] | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
0541faf635a6399f550a5b5935bfa17a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [0, 33], "expectation_value": -3.0440427418360705, "params": [0.2043, 0.2033, -0.0018000000000000002, 0.0028, 0.0678, 0.0639, 0.06810000000000001, 0.0675, 0.0043, -0.0039000000000000003, 0.20470000000000002, 0.19870000000000002, 0.19870000000000002, 0.1952, -0.0017000000000000001, 0.0005, 0.0716, 0.0626, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 14 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["111001", "111010", "100111", "011110", "010111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2586347423333518) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.2586347423333518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2586347423333518) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.2586347423333518) q[2];
cx q[3], q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZZII",
"IZIZII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.849143 | [
0.2586347423333518,
-0.9522193741903392,
-0.4483492681819256,
-1.0023321824572908,
0.8794944450881496,
-1.7734914868935794,
-1.1441282434786142,
-0.46313879118016416
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 241 |
c57af7e32d961e6547bc80ba0ce96978 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target":... | {"states": [222, 510], "expectation_value": -13.62729473150532, "params": null, "bitstrings": ["100100001", "000000001"], "total_optimization_steps": 100, "probabilities": [0.0808040124219113, 0.43425082679067095], "optimization_time": 142.51948928833008} | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (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)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.751283547283157) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.5037039314402427) q[3];
cx q[2], q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.751283547283157) q[1];
cx q[2], q[1];
rz(-0.340127971604129) q[2];
rx(1.05195873720640... | 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(1.5706) 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... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIZZIIII",
"IZIZIIIII",
"IZIIZIIII",
"IIZZIIIII",
"IIZIZIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
1,
-2,
-2,
1,
-2,
-2,
-2,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.58802 | [
0.751283547283157,
0.5037039314402427,
-0.3401279716041289,
1.5707963632756463,
1.051958737206407
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 157 |
-1503175077088120641 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 5], [3, 7], [0, 3, 6], [0, 1, 3], [1, 7], [4, 6], [1, 2, 5], [5, 7], [1, 4, 5], [1, 3, 5], [0, 5, 6], [2, 7]]} | {"states": [54, 118], "expectation_value": -0.15321614296645233, "params": [[-0.07300000000000001], [0.0777]], "bitstrings": ["11001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.004433230562620245, 0.004500274449084991], "optimization_time": 0.827380895614624} | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 9.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.01173342362136151) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.17057555908451766) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.17057555908451766) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.0117... | 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[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[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IZIIZIII",
"IZIIIIIZ",
"IZZIIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIZIIIZI",
"ZIIIIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIZII",
"ZIIIIZII",
"IIIIIZZI",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IZIIIII... | [
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.6666666666666667... | 0.531167 | [
-0.01173342362136151,
0.17057555908451766,
-0.14118512947088416,
-1.3036295514654788,
-1.6082830608697052,
1.5709558436799058,
1.5346624433474316
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -4.166666666666667,
"target_ratio": 0.97,
"target_value": -4.041666666666667
} | 215 |
23b9bdf3a0cf36b2670f2324e5b7a3b3 | 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": 1, "target": 2}, {"source": 3, "target": 5},... | {"states": [399, 511], "expectation_value": -13.13896580089306, "params": [-0.0023, 1.2215, 0.0022, 0.6097, 0.007200000000000001, 1.6188, 0.0014, 0.8722000000000001, 0.31820000000000004, -0.4168, 0.5668000000000001, 1.3075, -1.0753000000000001, 0.8393, 0.6273000000000001, 1.7687000000000002, -0.8764000000000001, 0.1358... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)... | 6 | 11 | 2 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.1378604361436234) q[0];
rz(2.371216038226251) q[0];
rx(-0.6675826519795717) q[1];
rz(-2.989684856271685) q[1];
rx(1.5201918806054182) q[2];
rz(1.3417265571219277) q[2];
rx(0.6619251621547098) q[3];
rz(2.375082397068926) q[3];
rx(0.4820762427365239) q[4];
rz(1.847... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x11;
input float[64] x12;
inp... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.923562 | [
-0.1378604361436234,
0.8004197114313544,
-0.6675826519795717,
1.7227041241130048,
1.5201918806054187,
-0.22906976967296877,
0.6619251621547098,
0.8042860702740292,
0.48207624273652394,
0.2764907248322506,
-0.5675744854935185,
0.15632389579373596,
-0.25797449405976725,
0.7488575827733567,
... | {
"n_parameters": 213,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
-6646672814995565532 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4], [1, 3], [3, 4], [3, 5, 6], [2, 3], [0, 2, 6]]} | {"states": [119, 55], "expectation_value": -1.6591792418218725, "params": [[[1.4813, 0.0068000000000000005], [2.7029, 0.009600000000000001], [2.7057, 0.01], [0.6657000000000001, 0.0005], [2.6976, 0.005], [2.6952000000000003, 0.0009000000000000001], [2.6983, 0.009300000000000001]]], "bitstrings": ["0001000", "1001000"],... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["1001000"], "largest_eigenvalue": 4.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5030168563674892) q[0];
h q[1];
ry(0.7220043771682972) q[1];
h q[2];
h q[3];
ry(-0.0970843250503563) q[3];
h q[4];
cx q[4], q[3];
ry(0.0970843250503563) q[3];
cx q[4], q[3];
ry(-0.14152093544285776) q[3];
cx q[2], q[3];
ry(0.14152093544285776) q[3];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
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0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.125,
0.29166666666666663,
0.29166666666666663,
0.... | 0.984315 | [
1.23538907648185,
-0.1941686501007126,
0.8828440243023016,
-0.28304187088571553,
1.5247725651872845,
1.4440087543365945,
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0.5425042288887563,
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0.19990072785397092,
0.6262651084820339,
-0.1867130242018144,
-0.05940340604711475,
-0.3052032107293161,
... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -2.4166666666666665,
"target_ratio": 0.97,
"target_value": -2.3441666666666663
} | 17 |
0897b31d9a82279b7ba3c27721e1c7dd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [922, 890], "expectation_value": -1.7348963021493562, "params": [[[0.0741, -0.4398, 0.007200000000000001, 0.0023], [0.1756, 0.22560000000000002, 0.6967, -0.023100000000000002], [0.252, -0.5152, 0.23370000000000002, 0.020200000000000003], [-0.22390000000000002, 0.2541, 0.6980000000000001, 0.0405], [0.69480000... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 11 | 11 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.116952552672873) q[0];
rz(-pi) q[0];
h q[1];
ry(-1.506937155918549) q[1];
ry(-0.04835348819428048) q[2];
rz(-pi) q[2];
ry(-0.04835348819428048) q[3];
rz(-pi) q[3];
ry(-0.04835348819428048) q[4];
rz(-pi) q[4];
h q[5];
ry(1.4591992826168048) q[5];
cx q[5], q[2];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIZIIZII",
"IIIIZIIIZII",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIIZZZII",
"IIIIIZIZZII",
"IIIIZIIZZII",
"IIIIIZZIZII",
"IIIIZIZIZII",
"IIIIZZIIZII",
"IIIIIZZZIII",
"IIIIZIZZI... | [
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,
0.25,
0.25,
-0.25,
0.25,... | 0.996009 | [
-1.506937155918549,
-1.4324166492555206,
1.4591992826168048,
-0.18005237869019097,
0.1739138865223437,
0.08512248384985079,
0.12820374576614546,
-0.02175841391827514,
0.04692024382718294,
0.10197694986490853
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
839e49943c280a605024f1eaa388ffdd | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -7.499987376396085, "params": null, "bitstrings": ["111100", "111110"], "total_optimization_steps": 16, "probabilities": [1.2623561992970457e-05, 0.9999873764286952], "optimization_time": 8.93480372428894} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.610696988332422) q[0];
h q[1];
ry(-1.610696988332422) q[1];
ry(-0.008287823470105224) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08573910863688183) q[3];
rz(-pi) q[4];
ry(-0.053813276033384) q[4];
h q[5];
ry(1.5055160025387713) q[5];
cx q[5], q[4];
ry(0.11911... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[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 \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
-0.75,
-0.25,
-0.5,
1.5,
-1,
-0.5,
0.5,
-0.25,
-0.75,
1.5,
-1,
0
] | 0.997269 | [
1.5055160025387713,
-1.610696988332422,
-1.5348557413287611,
-1.690543994376932,
-1.50548970354966,
-0.23823979855724126,
0.06801711789030701,
-0.05530552399206049
] | {
"n_parameters": 8,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 455], "expectation_value": -16.435540848562713, "params": [-0.2088, 0.5702, 0.3804, 0.2904, -0.8540000000000001, 1.1979, 0.4656, 0.9476, -0.9177000000000001, 0.8582000000000001, 0.1233, 0.6934, 0.008700000000000001, 0.4923, 0.029400000000000003, 1.0295, -0.008, 0.4884, -0.0256, 0.8726, 0.0, 0.69600000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 6 | 9 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.996593178178558) q[0];
h q[1];
h q[2];
ry(0.5888832353507985) q[2];
cx q[1], q[2];
ry(-0.5888832353507985) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.996593178178558) q[0];
cx q[2], q[0];
ry(-0.6875011369209832) q[1];
cx q[0], q[1];
ry(0.6875011369209832) 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... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5
] | 0.959988 | [
-1.573475623927345,
-1.5745368026595388,
1.177766470701597,
1.993186356357116,
-1.3750022738419665,
0.7869126081971946,
-0.26281594791650864,
-0.7899417559689463,
-0.024631791748175664,
-0.08767859512836484,
2.4583506114253013,
0.020494138931016335,
-0.013105036148354052,
-0.01474806033721... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
255f1dd604659bd35e94474fe8f5241d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 64.78920769691467} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | 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[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",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
7f4c1e2c9bad0a6e0605fae9471bc9cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3935, 2911], "expectation_value": -1.7450818505693113, "params": [0.0017000000000000001, -0.027100000000000003, 0.9087000000000001, 0.16790000000000002, 0.7118, 0.1559, 1.1093, 0.005, 1.1059, 0.054900000000000004, 0.7000000000000001, 0.17400000000000002, 1.1071, 0.1695, 0.6971, 0.2096, 1.0962, -0.1114, 0.88... | 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0... | 18 | 13 | 2 | {"smallest_eigenvalues": [-4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.40625, "smallest_bitstrings": ["1100000001001", "1000010110000", "1010000100010", "1010000100001", "10000110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.0439732452993793) q[0];
rz(-pi) q[1];
ry(-0.021586519897609995) q[1];
rz(-pi) q[2];
ry(-3.0439732452993793) q[2];
h q[3];
ry(1.5712954840865174) q[3];
h q[4];
ry(-1.5396619496691069) q[4];
h q[5];
ry(-1.5396619496691069) q[5];
rz(-pi) q[6];
ry(-3.051... | OPENQASM 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": []} | [
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIZIIZI",
"IIIIIIIZIIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIIIZZIII",
"IIIIIIIZIZIII",
"IIIIIIIZZIIII",
"IIIIIIIIIZZZI",
"IIIIIIIIZIZZI",
"IIIIIIIZIIZZI",
"IIIIIIIIZZIZI",
"IIIIIIIZIZIZI",
"IIIIIIIZZIIZI",
"IIIIIIIIZZZ... | [
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,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.993003 | [
-1.5396619496691069,
-1.567621708727845,
1.5712954840865174,
0.17901712585412477,
0.19424050199758652,
0.11763506385417996,
-0.04952227592932356,
0.11380756988679648
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
6de3ca972134e3b2df718cabf76739a9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [437, 445], "expectation_value": -2.75716311118551, "params": [0.45790000000000003, 0.7178, 0.9824, 0.40650000000000003, 1.4946000000000002, -0.0105, 0.0023, 1.1017000000000001, 1.4919, -0.0044, 1.4994, 0.0661, 0.8231, 0.1821, 1.494, -0.3244, 0.2644, -0.642, 1.5050000000000001, 0.1716, 0.31120000000000003, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ",
"IIIZZZIIII",
"IIIZZZIIIZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
5c94745dc5cfcb7bd7e70ecbf4c71545 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [767, 255], "expectation_value": -1.721375726525308, "params": [[-0.0747], [0.07540000000000001]], "bitstrings": ["110100000000", "111100000000"], "total_optimization_steps": 10, "probabilities": [0.0004741234681864238, 0.00047555163736809943], "optimization_time": 2.615004301071167} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + -2.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(11) @ Z(9)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(10) @ Z(9)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111100000000"], "largest_eigenvalue": 24.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.028769053637450595) q[0];
ry(0.07580628058916448) q[1];
ry(0.07580628058916448) q[2];
ry(-0.026998476264109776) q[3];
ry(-0.2142558325013241) q[4];
ry(-0.04558349045700816) q[5];
ry(-0.05284536182854707) q[6];
ry(-0.09833995953822515) q[7];
ry(-0.0455834904570081... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIZIZIIIIIII",
"IIZZIIIIIIII",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIIIIIIIZII",
"IIIIIIIII... | [
0.5,
0.5,
-2,
-2,
-2,
-1.5,
0.5,
-1.5,
-2,
-2.5,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
-2,
1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974623 | [
-0.028769053637450595,
0.07580628058916448,
-0.026998476264109776,
-0.2142558325013241,
-0.04558349045700816,
-0.05284536182854707,
-0.09833995953822515,
-2.6375997330360947,
-0.07374906537583759,
-0.0599856461679485,
-0.044177242863891984,
0.010404162644867612,
3.079887365421881,
-0.01623... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 28 |
98a6d7df4eb25fc957d9e8a10d4db738 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"sourc... | {"states": [0, 32704], "expectation_value": -62.13344944693854, "params": [[[0.0024000000000000002, 0.0019], [0.0025, 0.0019], [-0.0026000000000000003, 0.0051], [0.0026000000000000003, 0.0013000000000000002], [0.0022, 0.009000000000000001], [0.0022, 0.0043], [0.0022, 0.0073], [0.0022, 0.0027], [1.6066, 0.00780000000000... | -3.5 * (Z(0) @ Z(2)) + -4.0 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + 2.0 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(0)) + -4.5 * (Z(7) @ Z(4)) + 1.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(7)) + -4.0 * (Z(8) @ Z(2)) + 1.0 * (Z(8) @ Z(0)) + 1.5 * (Z(8) @ Z(4)) + -4.0 * (Z(8) @ Z(7)) + -2.... | 2 | 15 | 1 | {"smallest_eigenvalues": [-66.99999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.99999999999943, "smallest_bitstrings": ["000000000111111"], "largest_eigenvalue": 68.99999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
rx(-0.07452111705186733) q[0];
rz(0.11626854990047278) q[0];
rx(-0.1583850583324985) q[1];
rz(0.11626854990047278) q[1];
rx(-0.07036601469286015) q[2];
rz(-0.17116464120062022) q[2];
rx(0.027654725981503148) q[3];
rz(-0.1698549905095411) q[3];
rx(-0.023060283660707743)... | OPENQASM 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": 13} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZ",
"IIIIIIIZIIIIZII",
"IIIIIIIZIIIIIIZ",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIZIIZI",
"IIIIIIIZIIIIIZI",
"IIIIIIZIIIIIZII",
"IIIIIIZIIIIIIIZ",
"IIIIIIZIIIZIIII",
"IIIIIIZZIIIIIII",
"IIIIIIZIIIIIIZI",
"... | [
-3.5,
-4,
-3,
2,
-4,
-4.5,
1,
1,
-3.5,
-3.5,
-4,
1,
1.5,
-4,
-2.5,
-3,
1,
-3,
0.5,
0.5,
0.5,
-4,
1,
1,
-4,
0.5,
1,
0.5,
0.5,
0.5,
0.5,
-3.5,
0.5,
0.5,
-2,
-3,
-3.5,
0.5,
1.5,
-3,
-3.5,
0.5,
1.5,
-3,
-3.5,
0.5,
1,
-2.5,
-... | 0.97631 | [
-0.07452111705186733,
0.11626854990047278,
-0.1583850583324985,
-0.07036601469286015,
-0.17116464120062022,
0.027654725981503148,
-0.1698549905095411,
-0.023060283660707743,
0.08845302545850908,
-0.44019462485028465,
-0.12702330973159986,
-0.17977725819399187,
2.6628065901021505,
0.0068841... | {
"n_parameters": 25,
"n_qubits": 15,
"optimal_eigenvalue": -66.99999999999963,
"target_ratio": 0.97,
"target_value": -64.98999999999964
} | 19 |
5bfd79024282ae69c62758a244a2de56 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [1382, 1386], "expectation_value": -1.5154165907249448, "params": [-0.0012000000000000001, 0.0029000000000000002, 0.5241, 0.521, -0.004, -0.00030000000000000003, 0.5241, 0.5227, 0.0176, -0.0354, 0.5135000000000001, 0.5184, 0.5264, 0.5267000000000001, -0.010700000000000001, -0.0032, -0.7709, -0.68380000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0013888888888888892 * (Z(2) @ Z(0)) + -0.0013888888888888892 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010416666666666667 * (Z(4) @ Z(0)) + -0.0010416666666666667 * (Z(4) @ Z(2)) + -0.0010416666666666667 * (Z(5) @ Z(1)) + -0.0010416666666666667 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 13 | 12 | 3 | {"smallest_eigenvalues": [-1.5208333333333335, -1.5208333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104166666666665, "smallest_bitstrings": ["101010010101", "010101101010"], "largest_eigenvalue": 1.5145833333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0013888888888888892,
-0.0013888888888888892,
0.25,
-0.0010416666666666667,
-0.0010416666666666667,
-0.0010416666666666667,
-0.0010416666666666667,
0.25,
0.00034722222222222224,
0.00034722222222222224,
0.0005208333333333333,
0.00034722222222222224,
0.00034722222222222224,
0.00052... | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [15, 13], "expectation_value": -0.057145263537523305, "params": [[-0.007200000000000001, -0.0229], [-0.005200000000000001, 0.0167]], "bitstrings": ["10000", "10010"], "total_optimization_steps": 10, "probabilities": [0.031824025939541645, 0.03194998971177763], "optimization_time": 2.0638365745544434} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) 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": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
0203f7c837f2f7b281916c25ef227a97 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "... | {"states": [911, 1023], "expectation_value": -13.05664735379745, "params": null, "bitstrings": ["110001110000", "110000000000"], "total_optimization_steps": 100, "probabilities": [0.06617525189757557, 0.4948418646600837], "optimization_time": 205.81603336334229} | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(11)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(4) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["110000000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.486838275840335) q[0];
cx q[1], q[0];
rz(-1.828857024366937) q[0];
rx(-2.137850815569654) q[0];
rz(-1.828857024366937) q[1];
rx(-2.137850815569654) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.89857661693128) q[2];
cx q[4], q[2]... | 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(1.5706) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measu... | [
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIZZII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIIIIZII",
"IIIIIIIIZIII",
"IIIIZIIII... | [
0.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.580164 | [
0.486838275840335,
0.89857661693128,
0.8107688258660057,
-1.8288570243669373,
-2.137850815569654
] | {
"n_parameters": 5,
"n_qubits": 12,
"optimal_eigenvalue": -15.5,
"target_ratio": 0.97,
"target_value": -15.035
} | 153 |
2192070859996138702 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [2, 3], [2, 4], [0, 1], [1, 3]]} | {"states": [9, 13], "expectation_value": -1.4639072530979564, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [0.23835204974460703, 0.60454753153029], "optimization_time": 14.451571226119995} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": 0.5, "smallest_bitstrings": ["01101", "00011", "10010", "11100", "10011", "10100", "01011", "01001", "01100", "10110"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.7853981388153466) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(-0.7853981388153466) q[1];
cx q[0], q[1];
rz(-1.675235772324868e-08) q[0];
rx(0.7853981795534054) q[0];
cx q[4], q[2];
rz(-0.7853981388153466) q[2];
cx ... | 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];\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];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"ZIIIZ",
"ZIZII",
"IZZII",
"IIIZZ",
"IZIZI",
"ZIIII",
"IIIIZ",
"IIZII",
"IZIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.833333 | [
-0.7853981388153466,
-1.6752357351777317e-8,
0.7853981795534053
] | {
"n_parameters": 3,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 90 |
0196429b0da7e22849832e813b6ffbfd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -15.315977807708034, "params": [0.0026000000000000003, -0.29000000000000004, 0.005200000000000001, -0.2873, 0.003, -0.29050000000000004, 0.0011, -0.3032, 0.0035, -0.2902, 0.0002, -0.2757, 0.0019, -0.2705, 0.0001, -0.29510000000000003, 0.0013000000000000002, -0.2914, 0.002, -0.287... | -1.25 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -2.0 * (Z(1) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -1.25 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(2)) + -1.5 * (Z(4) ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01451714377332614) q[0];
rz(1.567933017869171) q[0];
rx(-0.02032888722137103) q[1];
rz(1.5921707930274547) q[1];
rx(-0.12005231502450762) q[2];
rz(1.7459814652059578) q[2];
rx(-0.004760584586112621) q[3];
rz(1.567933017869171) q[3];
rx(0.1266826876956882) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIZIIIIZI",
"IIIZIIZIII",
"IIZIIIZIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIIIZZII",
"IZIIIIZIII",
"IZIIIIIZII",
"IIIIZZIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"ZIZIIIIIII",
"ZIIIIZIIII",
"IIIIZIIIII",
"IIIIIIIIIZ"... | [
-1.25,
-0.5,
-1.25,
-0.75,
-2,
-1,
-1,
-0.5,
-0.75,
-1.25,
-0.25,
-1.25,
-0.75,
-1.5,
-1,
3.25,
-0.75,
-0.25,
-1,
-0.25,
0.5,
1.25,
1,
-4,
0.5,
0.5,
0.25,
1.25
] | 0.978249 | [
-0.01451714377332614,
-0.00286330892572606,
-0.02032888722137103,
0.021374466232557676,
-0.12005231502450761,
0.17518513841106048,
-0.004760584586112622,
0.12668268769568816,
0.08733852019055875,
-0.16291809049276493,
0.1992389045506872,
-0.33531949643995196,
0.7336791699499292,
2.67812021... | {
"n_parameters": 23,
"n_qubits": 10,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.5605626459559883, "params": [[[1.189, 0.0077], [1.3794, 0.0057], [1.3441, 0.006200000000000001], [1.731, 0.006200000000000001], [1.8005, 0.0068000000000000005], [1.609, 0.0044]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 180, "probabilities": [0.04280031... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4604609545342588) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.4604609545342588) q[1];
cx q[0], q[1];
rz(-0.5961919399360327) q[0];
rx(-0.8240718412880712) q[0];
cx q[3], q[2];
rz(0.4604609545342588) q[2];
cx q[3], q[2];
h... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5
] | 0.720304 | [
0.4604609545342588,
-1.0130158982300328,
-0.5961919399360321,
0.10159268481627397,
-0.8240718412880712,
1.653056793347183,
-2.4998589588665014,
-1.3174178256009759,
-0.48477462442147073
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 246 |
6019be0fa8c3633cf3c67a35b335404e | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [73, 35], "expectation_value": -1.7219792719659197, "params": [[-0.06860000000000001, -0.0753, -0.0618], [0.0738, 0.0789, 0.07390000000000001]], "bitstrings": ["0110110", "1011100"], "total_optimization_steps": 10, "probabilities": [0.017150272812855995, 0.017910362604028226], "optimization_time": 4.74211144... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -1.0 * Z(5) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011100", "0110110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.9507636748271096) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.07521630843221144) q[1];
h q[2];
ry(-1.6800855286387062) q[2];
h q[3];
ry(1.3941845997090168) q[3];
ry(-0.0810001177131385) q[4];
rz(-pi) q[4];
ry(-0.0810001177131385) q[5];
rz(-pi) q[5];
cx q[3], q[5];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"IIIZIZI",
"IZIZIII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"IIZIIII",
"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,
-2,
-1,
-1,
-1.5,
-0.5
] | 0.996927 | [
-1.6800855286387062,
-1.650927730462537,
-1.4718006148823952,
1.3335894590127062,
1.3941845997090168,
-0.035991188398725574,
0.2790777833279445,
0.09275577803901364,
0.12873257583510778,
0.009830190470857945,
-0.07902666395579679,
-0.10094070682275826,
0.047627241742005444
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
cb943fcd43d9f749780630b91be79506 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -8.387474193963351, "params": [[[-0.0013000000000000002, -1.1880000000000002], [-0.0058000000000000005, 0.042], [-0.0027, -0.0021000000000000003], [1.2015, -0.0016], [-0.0024000000000000002, 0.0016], [-0.0025, 0.0027], [0.0007, 0.0028], [0.7267, -1.7787000000000002], [-0.0306... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 15 | 9 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.0023431358542768677) q[0];
h q[1];
ry(1.0573482311132871) q[1];
h q[2];
ry(0.7381916387806311) q[2];
h q[3];
ry(-1.530172209429997) q[3];
h q[4];
ry(-0.12458245307790583) q[4];
h q[5];
cx q[5], q[4];
ry(0.12458245307790583) q[4];
cx q[5], q[4];
h q[6];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIZIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
1,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.25,
-0.75,
0.25,
-0.25,
-1.75,
0.75,
0.25,
-0.25,
1,
-0.25,
0.25
] | 0.971464 | [
-1.530172209429997,
-0.24916490615581166,
-0.004686271708553735,
1.5008255461260471,
-0.9720458421928581,
1.4763832775612622,
1.178692764422778,
0.13200497549453394,
0.8917603156219556,
2.1146964622265743,
-0.0033878110834060365,
0.17746269747617008,
-0.3576571302642504,
0.0906979216744569... | {
"n_parameters": 50,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 170 |
570854331bf757be794b813c390e4e40 | 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": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [120, 113], "expectation_value": -5.49989906066681, "params": null, "bitstrings": ["0000111", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6414805265533778e-05, 0.9999303742109635], "optimization_time": 39.90993905067444} | 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(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + -0.5 * Z(0) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.5156376950234425) q[0];
rz(0.1986763463716926) q[0];
ry(1.6123484720869226) q[1];
rz(-0.15083038097189586) q[1];
cx q[1], q[0];
ry(-0.10924469545426371) q[0];
rz(0.28030714252007716) q[0];
ry(-0.536280490040061) q[1];
rz(-0.10196973599542483) q[1];
ry(-0.014114088... | 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[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", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IZIIIZI",
"IIZIZII",
"IZIZIII",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"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,
-0.5,
-1,
-1
] | 0.972182 | [
1.5156376950234425,
0.1986763463716926,
1.6123484720869226,
-0.15083038097189586,
-0.014114088504483029,
0.1289500314465707,
0.04396475312805043,
0.35853910138358724,
0.05143029229932082,
1.2162655931971267,
-0.00034759176628042926,
-0.4521588481618358,
0.29991237854465774,
0.1471145211260... | {
"n_parameters": 140,
"n_qubits": 10,
"optimal_eigenvalue": -3.6875,
"target_ratio": 0.97,
"target_value": -3.576875
} | 262 |
1032127965810945069 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3], [8, 5], [2, 3, 5, 7], [0, 5], [0, 1, 4, 6], [8, 1, 2], [0, 8, 6, 7], [8, 0, 1], [1, 5], [2, 3, 4], [1, 6, 7], [4, 7], [1, 2, 3, 7], [8, 1, 6], [0, 1, 3, 6], [8, 0, 4, 6]]} | {"states": [433, 419], "expectation_value": -0.27834258541592116, "params": [[-0.0887], [0.0815]], "bitstrings": ["001001110", "001011100"], "total_optimization_steps": 10, "probabilities": [0.00236164336833211, 0.002399678193009083], "optimization_time": 3.3831489086151123} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.49999999999999994 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.583333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["001011100"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-3.053159397312989) q[0];
rz(-pi) q[0];
h q[1];
ry(1.5063324998220335) q[1];
h q[2];
ry(-0.5258827451918332) q[2];
h q[3];
ry(1.0912901938114434) q[3];
cx q[3], q[2];
ry(0.5258827451918332) q[2];
cx q[3], q[2];
ry(0.14829313745864708) q[3];
ry(-0.16084180055826164) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"ZIIZIIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIZI",
"ZIIIIIIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIZIZII",
"... | [
0.16666666666666666,
0.49999999999999994,
0.25,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.25,
0.3333333333333333,
0.1666666666... | 0.970487 | [
1.5063324998220335,
1.0912901938114434,
-0.8007828084034759,
1.480124814614586,
-0.636693695839096,
1.3571704326116736,
-1.449111882260349,
1.0592371656473947,
-1.647395524776862,
0.39757529885842624,
-1.0517654903836664,
0.1327789064275433,
0.2503852758128374,
0.10798572557502867,
-0.18... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -4.583333333333334,
"target_ratio": 0.97,
"target_value": -4.445833333333334
} | 10 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [230, 239], "expectation_value": -24.24736504694284, "params": null, "bitstrings": ["00011001", "00010000"], "total_optimization_steps": 80, "probabilities": [0.043382921721551566, 0.8506151438784146], "optimization_time": 116.78574633598328} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | null | {"source": 0, "sink": 3} | {"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(-5.3058) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
7398654333065398867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 5, 9], [1, 10, 4], [3, 1, 11, 7], [8, 2, 5, 6], [1, 4, 6], [8, 7], [3, 10, 11], [0, 11, 12], [9, 12], [9, 2, 10]]} | {"states": [8165, 7909], "expectation_value": -2.7216756161096445, "params": [1.4924000000000002, 1.4998, 1.4894, 1.4928000000000001, 1.494, 1.4826000000000001, 1.3814, 1.4946000000000002, 0.6056, 0.48500000000000004, 1.4845000000000002, 1.4851, 1.4572, 1.4868000000000001, 1.4793, 1.4917, 0.2629, 0.251, 0.28, 0.2573000... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(10) @ Z(3)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.166666666666... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.416666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["0000100011010"], "largest_eigenvalue": 8.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(1.7441407282191725) q[0];
rz(pi/2) q[0];
ry(1.8605153598700872) q[1];
ry(1.486640231156851) q[2];
ry(1.6004043321436785) q[3];
ry(0.0795635657849704) q[4];
ry(1.967571515132451) q[5];
ry(1.3526238138111655) q[6];
ry(1.2994617125866381) q[7];
ry(0.06341748881484399) ... | OPENQASM 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": []} | [
"IIIIIIIIIZIZI",
"IIIIIIIZIZIII",
"IIIIIIIZIIIZI",
"IIIZIIIIIZIII",
"IIIZIIIIIIIZI",
"IIIZIIIZIIIII",
"IIZIIIIIIZIII",
"IIZIIIIIIIIZI",
"IIZZIIIIIIIII",
"IIIIIIIIZIIZI",
"IIZIIIIIZIIII",
"IZIIIIIIIZIII",
"IZIIIIIIIIIZI",
"IZZIIIIIIIIII",
"IIIIIZIIIZIII",
"IIIIIZIIIIIZI",
"IZIIIZIIIII... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666,
0.08333333... | 0.973421 | [
1.7441407282191725,
1.8605153598700872,
1.486640231156851,
1.6004043321436785,
0.0795635657849704,
1.967571515132451,
1.3526238138111655,
1.2994617125866381,
0.06341748881484399,
0.005968661914233418,
1.8682307807356426,
1.3892369464663297,
1.4992292544886483,
0.4777784630001143,
0.14588... | {
"n_parameters": 52,
"n_qubits": 13,
"optimal_eigenvalue": -3.416666666666666,
"target_ratio": 0.97,
"target_value": -3.314166666666666
} | 29 |
082b6c86bc8d553008a81e548bf0a65e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [0, 3], "expectation_value": -12.715123843457839, "params": [-0.0034000000000000002, 0.4657, -0.0001, 0.3093, -0.0041, 0.4676, -0.0017000000000000001, 0.5309, -0.004, 0.528, -0.0033, 0.5154, -0.0016, 0.41400000000000003, 0.2571, -0.0012000000000000001, 0.7070000000000001, -0.0008, 0.00030000000000000003, 0.3... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 4 | 9 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.01995827998848688) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.0011424779715897004) q[3];
cx q[5], q[3];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.0604644772113118) q[7];
cx q[2], q[7];
cx q[0], q[7];
cx q[2], 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": []} | [
"IIIIIIZIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"IIIIZIZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIZIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"... | [
-0.75,
-0.25,
-1.25,
-2,
-0.25,
-1.75,
-0.5,
-0.25,
-1.5,
-1.25,
-1.25,
-0.75,
2.25,
-1.75,
-0.25,
-3.25,
-0.25,
1,
1,
2.25,
-2.75,
2,
-0.25,
0.25
] | 0.967362 | [
0.01995827998848688,
0.0604644772113118,
0.009467678937415125,
0.0034315551282985113,
-0.020265119812155508,
-0.045284364355096626,
0.0011424779715897004,
-0.044087738298219936,
-1.50226119903777,
-1.4628010130334417,
-0.8017292774672112,
1.5766066058178019,
0.13288720752041047,
-1.4525988... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 500 |
75b2b49bf8a153c97d838ff6c1f36ee5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 5, "source": 0, "t... | {"states": [199, 109], "expectation_value": -8.787007852922793, "params": [[-0.0218, -0.032], [0.020900000000000002, 0.0488]], "bitstrings": ["00111000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007051937401527182, 0.007796629693015008], "optimization_time": 3.2399344444274902} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.913405650680868) q[0];
rz(-0.020577266484854473) q[0];
rx(2.913405650680868) q[1];
rz(0.018304067849897798) q[1];
rx(-0.037846667829205746) q[2];
rz(0.1102035930599623) q[2];
rx(0.0013998007349523903) q[3];
rz(0.5015043177824037) q[3];
rx(0.2531958520905692) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"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,
4.5,
4.5,
16.5,
7,
11,
5,
16.5,
20,
12,
13.5
] | 0.986362 | [
2.913405650680868,
-0.033119404079733517,
-0.10992226302707359,
-0.03784666782920576,
-0.0270841561830095,
0.0013998007349523903,
0.5423397956466044,
0.2531958520905692,
-0.4835134495306451,
3.0855030048491776,
0.30670917393717884,
3.327040016346024,
0.0788732160694183,
-0.0032392196512411... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -53.5,
"target_ratio": 0.97,
"target_value": -51.894999999999996
} | 15 |
ead5b47990aff308f37407aa5bdb12e1 | 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": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [127, 1023], "expectation_value": -14.322876693691912, "params": null, "bitstrings": ["11110000000", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.07247085461415272, 0.4234213310117931], "optimization_time": 237.9462502002716} | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(10)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10000000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-3.1415926063193176) q[0];
ry(0.5719188929810326) q[0];
rz(-1.5707963830114546) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.1093655072803594) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-1.1093655072803594) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.113996436043509... | null | {"node": 1} | {"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(1.5706) q[9], q[10];\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... | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IZIZIIIIIII",
"ZZIIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.571865 | [
-1.1093655072803594,
-0.11399643604350986,
-0.8086879609122805,
-1.570796357221916,
-0.9988774338138647
] | {
"n_parameters": 5,
"n_qubits": 11,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 171 |
068ca9ebc869ed2b6b1f40ca0469471e | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 97], "expectation_value": -5.496515641776487, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 28, "probabilities": [0.06700895329534476, 0.9297461640990027], "optimization_time": 34.117696046829224} | 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... | 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",
"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 |
251c225029b23900c5d41a0a241e8f62 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [66, 18], "expectation_value": -4.119579337267342, "params": [0.2921, -0.11130000000000001, 0.29400000000000004, -0.10880000000000001, -0.0154, 0.1759, -0.0183, 0.1708, 0.2917, -0.11320000000000001, 0.2889, -0.0891, 0.06770000000000001, 0.16770000000000002, 0.061000000000000006, 0.168, 0.27290000000000003, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 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)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 *... | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001111", "0110111", "1101011", "0111011", "1100111", "0111101", "0111110", "1101101"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.4736268371542338) q[0];
rz(-0.122847111341981) q[0];
ry(1.447375041311368) q[1];
rz(-0.21821365704593082) q[1];
cx q[1], q[0];
ry(-0.6970336969324273) q[0];
rz(0.18220853940307208) q[0];
ry(0.6588213546960189) q[1];
rz(0.2338143718655757) q[1];
ry(1.82391628025566... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-0.5,
-1.5,
-1.5,
-1.5,
-2
] | 0.973828 | [
0.4736268371542338,
-0.122847111341981,
1.447375041311368,
-0.21821365704593082,
1.8239162802556628,
0.14945613049568937,
-0.2763167545219362,
-0.21216148033448293,
0.06994388806984095,
0.16160993324535441,
-0.008597506656845258,
0.18272944424579318,
-0.04179338265250071,
0.997951130456255... | {
"n_parameters": 92,
"n_qubits": 13,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 152 |
109dd65f843c7effe1b685156edca6d7 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [131, 7], "expectation_value": -22.144854728520976, "params": null, "bitstrings": ["01111100", "11111000"], "total_optimization_steps": 91, "probabilities": [0.061083088251108565, 0.5844873633809463], "optimization_time": 182.8159236907959} | 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)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.197) 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[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
be3312c5c1bc33b10be9c834d0af7350 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 8, "target":... | {"states": [0, 495], "expectation_value": -4.207725117477514, "params": [-0.5117, 0.15810000000000002, -0.2429, 0.465, -0.5142, 0.307, -0.3241, 0.5283, 0.5315, 0.38530000000000003, 0.36300000000000004, 0.5765, 0.5337000000000001, 0.5844, 0.3766, 0.6555000000000001, 0.4631, 0.0717, 0.2736, 0.0344, 0.5446, 0.5433, 0.3932... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 6 | 9 | 2 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.2981509844867557) q[0];
rz(1.6892537400776497) q[0];
rx(0.4727948839522916) q[1];
rz(1.25794667609434) q[1];
rx(0.382222792084763) q[2];
rz(1.8056559122353084) q[2];
rx(-0.2229001784717934) q[3];
rz(1.5523346467626133) q[3];
rx(0.0650634911757089) q[4];
rz(1.507945... | OPENQASM 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970192 | [
0.29815098448675564,
0.11845741328275271,
0.47279488395229163,
-0.31284965070055587,
0.38222279208476295,
0.2348595854404118,
-0.2229001784717934,
-0.018461680032282907,
0.0650634911757089,
-0.0628505784713939,
1.354464253273926,
-0.13597110321905556,
0.770035313022683,
0.7558693121603418,... | {
"n_parameters": 180,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 494 |
b305367bc2e2ddaa066fe8b84210618a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 159.84968852996826} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 150.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.2364115448940784e-08) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.2364115448940784e-08) q[2];
cx q[0], q[2];
rz(1.5707962546560008) q[0];
rx(1.5707963244966565) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
1.5,
15.5,
13,
15,
13,
10,
6.5
] | 0.915441 | [
-1.2364115448940784e-8,
-1.570796288521854,
1.570796254656001,
-1.5707962902301755,
-2.293530648554822,
-1.5707963341692412,
-1.570796326359869,
1.570796377596495,
1.5707963244966565
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 231 |
9073791101012246991 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[8, 2, 3], [13, 12, 5, 6], [0, 1, 3, 5, 6, 8], [3, 5, 6, 9, 10], [0, 2], [10, 2], [2, 6], [1, 3, 4, 7, 9, 10, 11, 12], [13, 3, 5], [8, 11, 3], [8, 10, 4, 7], [12, 13, 6, 7], [10, 3, 6, 7], [0, 1, 5, 10, 12, 13], [0, 4, 5, 6, 10, 11]]} | {"states": [14011, 9915], "expectation_value": -4.427886443317849, "params": null, "bitstrings": ["00100101000100", "01100101000100"], "total_optimization_steps": 100, "probabilities": [0.09301029656851713, 0.7796576146647524], "optimization_time": 3076.1350095272064} | 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.36666666666666664 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(13) @ Z(3)) + 0.017857142857142856 * (Z(12) @ Z(3)) + 0.19999999999999998 * (Z(12) @ Z(13)) + 0.03333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(3)) + 0.2833333333333333 * (Z(5)... | 9 | 14 | 1 | {"smallest_eigenvalues": [-4.460714285714245], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.411904761904717, "smallest_bitstrings": ["01100101000100"], "largest_eigenvalue": 13.500000000000039} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rz(-pi) q[0];
ry(-3.0901025484385114) q[0];
h q[1];
ry(-0.06537979873018351) q[1];
h q[2];
ry(-0.6921217378473369) q[2];
h q[3];
ry(1.487000202319447) q[3];
ry(-2.3044022364049512) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.39689426149980517) q[5];
h q[6];
ry(1.5187236944070515... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[14] c;\nqubit[14] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nry(1.5623) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc... | [
"IIIIIZIIIIIZII",
"IIIIIIIIIIZZII",
"IIIIIZIIIIZIII",
"ZIIIIIIIIIZIII",
"IZIIIIIIIIZIII",
"ZZIIIIIIIIIIII",
"IIIIIZIIZIIIII",
"IIIIIIIIZIZIII",
"ZIIIIIIIZIIIII",
"IZIIIIIIZIIIII",
"IIIIIIIZIIIZII",
"IIIIIZIZIIIIII",
"IIIIIIIZIIZIII",
"ZIIIIIIZIIIIII",
"IZIIIIIZIIIIII",
"IIIIIIIZZIIIII"... | [
0.16666666666666666,
0.16666666666666666,
0.36666666666666664,
0.16666666666666666,
0.017857142857142856,
0.19999999999999998,
0.03333333333333333,
0.25,
0.2833333333333333,
0.11666666666666667,
0.5,
0.03333333333333333,
0.16666666666666669,
0.16666666666666666,
0.16666666666666666,
0.... | 0.985363 | [
1.487000202319447,
1.5187236944070515,
-1.3842434756946738,
1.3891147121571614,
1.6702835485584018,
-0.0984798459792779,
0.8759787410793897,
-0.7937885229996103,
0.9035204822408809,
-0.6375773308483524,
0.6035716670790067,
-0.7581937504930332,
0.5124531460265058,
-0.3608570663949409,
-0.... | {
"n_parameters": 69,
"n_qubits": 14,
"optimal_eigenvalue": -4.460714285714245,
"target_ratio": 0.97,
"target_value": -4.326892857142818
} | 1 |
7e799239f8573f120a2c5e15cda2e88f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 1}, {"source": 1, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.746010950493092, "params": null, "bitstrings": ["1111", "0111"], "total_optimization_steps": 8, "probabilities": [0.0039434487441986675, 0.9960271124624693], "optimization_time": 3.0977160930633545} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + -0.75 * Z(1) + -0.75 * Z(2) + -0.25 * Z(0) + -1.0 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["0111"], "largest_eigenvalue": 4.25} | 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[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZZI",
"IIZZ",
"IZIZ",
"IZZZ",
"ZIIZ",
"IIZI",
"IZII",
"IIIZ",
"ZIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
-0.25,
-1
] | 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 |
b34692bbb393a9c8c39ee60500b791d0 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [0, 1016], "expectation_value": -12.594391157803877, "params": [0.4824, 0.2296, -0.6838000000000001, 0.0004, -0.7121000000000001, 1.8403, -0.5983, 0.0073, -0.8072, 1.4085, 0.2232, 0.0018000000000000002, 0.8465, 1.0724, -0.1486, 0.0035, -0.8972, 0.8693000000000001, 0.4001, 0.0038, 0.8781, 0.739, -0.1034, 0.00... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000111"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.14847159244139713) q[0];
h q[1];
h q[2];
ry(0.3842236331599264) q[2];
cx q[1], q[2];
ry(-0.3842236331599264) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.14847159244139713) q[0];
cx q[2], q[0];
ry(0.6138440197963709) q[0];
ry(1.0497478699509277) q[1];
ry(1.29... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIZIIIIIII"... | [
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5
] | 0.974884 | [
-1.5706329373458272,
-1.9336742782695115,
0.42425666134069984,
1.5699674051281693,
1.5643069498179039,
0.29694318488279425,
0.09133326785552914,
0.7684472663198528,
0.5949657730699344,
1.2979251146349033,
-0.08074416243354732,
0.9095641937619864,
0.5687212357607836,
1.2276880395927419,
0... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 67 |
2b1c1c2594b19506ee13e210b86437bc | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": ... | {"states": [95, 511], "expectation_value": -16.588208026554184, "params": null, "bitstrings": ["1110100000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.10478552899821775, 0.45104032997739557], "optimization_time": 243.5152473449707} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-3.141592378647437) q[0];
ry(0.6013653339636322) q[0];
rz(-1.5707966602346088) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.6823355253379376) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.8409286048037767) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.84092860... | 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[1], 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] = measu... | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIIIZZIIII",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIZZIIIIII",
"IZZIIIIIII",
"IZIZIIIIII",
"ZIZIIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIZIIIII"... | [
-2.5,
-2,
-2,
1,
-2.5,
0.5,
-2.5,
1,
0.5,
-2,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.551168 | [
-0.6823355253379376,
-0.8409286048037767,
-0.46344128096660675,
0.011223086308874461,
-1.5707965154446841,
-0.9694309928312903
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 183 |
ef86cdfaf327bff6279da2b2e63cb516 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1002, 746], "expectation_value": -1.505235015733705, "params": [0.5806, 0.5775, 0.3215, 0.3241, 0.5272, 0.5352, 0.5928, 0.6005, 0.603, 0.5954, 0.1008, 0.09960000000000001, 0.5943, 0.5941000000000001, 0.1092, 0.1071, 0.5984, 0.5984, 0.12340000000000001, 0.11470000000000001, 0.5832, 0.5760000000000001, 0.3204... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 13 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.125, "smallest_bitstrings": ["1000100011", "0100010101", "1000100110", "0011000110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3294273376932007) q[0];
h q[1];
ry(-0.09351612922936302) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.632448645206053) q[3];
h q[4];
ry(1.3294273376932007) q[4];
cx q[4], q[2];
ry(0.022376937123773526) q[2];
cx q[4], q[2];
ry(-0.05801539275043973) q[2];
rz(-pi) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIZIIZIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IIIZIIZIZI",
"IZIIIIZIZI"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0.125,
0,
0.125,
0,
-0.25,
0.125,
-0.25,
-0.125,... | 0.994772 | [
-1.632448645206053,
-1.662979958513898,
-1.4549032604417602,
1.3294273376932007,
-1.1144399248686607,
0.6136168687261874,
-0.04475387424754705,
-0.47034710208353786,
0.5913181929216926,
-0.42901955319133867,
0.15395367542431893,
-0.11775997548360093,
0.1127100693980449,
0.26797101269760465... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
3449581185491396938 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 7], [8, 2, 5, 6], [0, 1, 4, 7, 9], [4, 6], [1, 4, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 3, 6], [1, 5, 7], [1, 3, 4, 7, 9], [1, 3, 4, 8, 9], [0, 3, 4, 5, 7], [8, 1, 6], [8, 1, 2]]} | {"states": [1010, 882], "expectation_value": -2.836529752407773, "params": [1.6721000000000001, -0.0066, 0.3633, 0.006500000000000001, 1.6776, -0.017400000000000002, 0.5459, 0.008700000000000001, 1.6715, -0.0223, 1.2395, 0.0001, 1.683, -0.0304, 1.6195000000000002, 0.0036000000000000003, 1.6879000000000002, -0.0275, 0.4... | 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(4)) + 0.... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333344, -3.3333333333333344], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3000000000000003, "smallest_bitstrings": ["0010001101", "0000100110"], "largest_eigenvalue": 13.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-7.832165341604905e-06) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.6699427429060565e-06) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10277580417143481) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(9.240509458459551e-06) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIZIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZIIIIZI"... | [
0.1,
0.21666666666666667,
0.13333333333333333,
0.36666666666666664,
0.15000000000000002,
0.05,
0.31666666666666665,
0.23333333333333334,
0.05,
0.2,
0.3833333333333333,
0.25,
0.05,
0.5,
0.05,
0.08333333333333333,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.3... | 0.9 | [
-0.000007832165341604905,
-0.0000016699427429060565,
-0.10277580417143481,
0.000009240509458459551,
-0.0000013734526041786614,
0.000007208336442681399,
-8.012637641545578e-7,
-0.000011477208115406356,
-0.000012226217930735344,
0.0000019105469213629803,
-0.000002152603495421042,
0.0000408605538... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -3.3333333333333344,
"target_ratio": 0.97,
"target_value": -3.2333333333333343
} | 500 |
05d49a7fc39b30c4a6fe8fddcf8a0ac0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [218, 219], "expectation_value": -2.231002522500506, "params": [[[1.1199000000000001, -0.0035, 0.01, 0.0073], [1.2031, 0.0035, 1.5532000000000001, 0.0026000000000000003], [1.5855000000000001, 0.0016, 1.5815000000000001, 0.009000000000000001], [1.5995000000000001, -0.17170000000000002, 0.7237, 0.0022], [0.003... | 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(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(6) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(8) @ Z(4)) + 0.125 * (Z(4) @ Z(9)) + 0.12... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0011010010", "1001010010", "1000011010", "0011100010", "0101010001", "0101010010", "1000100110... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.21493813320880895) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.21493813320880895) q[3];
cx q[1], q[3];
rz(-0.42725429701420525) q[1];
rx(-0.43546813025131703) q[1];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.21493813320880895) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIZZIIZIII",
"IIIZIZIIII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IZIZIIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IZIZIZIIII",
"ZIIZIZIIII",
"ZZIIIZIIII",
"ZZIZIIIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.25,
-0.25,
0.125... | 0.970319 | [
0.21493813320880895,
-0.4272542970142054,
0.6996443743819517,
0.13185519206169583,
-0.43546813025131714,
-0.06399764068666867,
-0.9371916760271057,
0.5610814291560571,
0.5035362400336713,
0.43039485442026654,
-0.1403377421992738,
-0.07808590403612464,
0.1558547390602689,
0.829870827594546,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 29 |
b1b59d51af8d5ffde35a550fbcfeb6e8 | 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": [485, 229], "expectation_value": -87.25900106571363, "params": [-0.012, 0.7613000000000001, 0.0022, 0.3715, 0.0026000000000000003, 0.6039, 0.7072, -0.3256, 1.208, 0.001, 1.195, 0.0017000000000000001, 1.2066000000000001, 0.2786, 0.7471, 0.4803, -0.0211, 0.5952000000000001, 1.2023000000000001, 0.30560000000000... | 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(2) @ Z(6)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(0) @ Z(11)) + 15.0 * Z(5) + 17.5 * Z(4) + 4.5 * Z(3) + 6.5 * Z(6) + -5.0 * Z(2) + 5.0 * Z(7) + -3.5 * Z(8) + 10... | 18 | 12 | 2 | {"smallest_eigenvalues": [-130.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["111100011010"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.1659420330981873) q[0];
rz(0.6486450762686058) q[0];
rx(-0.046337966909809805) q[1];
rz(0.42024654293883223) q[1];
rx(-0.025212943494527594) q[2];
rz(-0.31101971586989824) q[2];
rx(0.13914282773271364) q[3];
rz(-0.0627366944665561) q[3];
rx(1.0244644687943996) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIIIZZIII",
"IIIIIZIIIZII",
"IIIIZZIIIIII",
"IIIZIIIZIIII",
"IIZIZIIIIIII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIIIIII",
"IIIIIIIIIZII",
"IIIIZIIIIIII",
"IIIZIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
15,
17.5,
4.5,
6.5,
-5,
5,
-3.5,
10,
1.5,
2,
-3.5,
-14.5
] | 0.97688 | [
-0.16594203309818728,
0.4359538261267933,
-0.046337966909809805,
0.42024654293883223,
-0.025212943494527594,
-0.31101971586989824,
0.13914282773271364,
-0.0627366944665561,
1.0244644687943996,
-0.09394331866786548,
0.9771202241146852,
0.34872302739390243,
0.7979808512393782,
0.180990562084... | {
"n_parameters": 134,
"n_qubits": 12,
"optimal_eigenvalue": -130.5,
"target_ratio": 0.97,
"target_value": -126.585
} | 13 |
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": [1, 511], "expectation_value": -19.060904042348803, "params": [[[0.0073, 0.014400000000000001], [-0.0009000000000000001, 0.3274], [0.0026000000000000003, 0.0029000000000000002], [0.0022, -0.0025], [0.0021000000000000003, 0.0019], [0.002, -0.0024000000000000002], [0.0025, 0.0017000000000000001], [0.0027, 0.00... | -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 | 3 | {"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] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"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 |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 85.77682185173035} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIIZ",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
3bd6f29363a868a92edc437196fa5119 | 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": [698, 690], "expectation_value": -67.32997467587403, "params": [0.005200000000000001, 0.2879, 0.5982000000000001, 0.1809, 0.0099, 0.3462, 0.5936, 0.0886, 0.23370000000000002, 0.223, 0.5957, -0.0071, 0.6011000000000001, 0.0733, 0.3794, 0.1456, 0.3052, 0.21080000000000002, 0.5996, 0.07880000000000001, 0.381, 0... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + -3.0 * Z(2) + 1.5 * Z(1) + 17.0 * Z(3) + 14.5 * Z(5) + 0.5 * Z(4) + 4.5 * Z(... | 18 | 11 | 4 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -105.5, "smallest_bitstrings": ["10101001101"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.03224811541555559) q[0];
rz(0.2849562646522079) q[0];
rx(1.0319113545348177) q[1];
rz(-0.19053047028307274) q[1];
cx q[1], q[0];
rz(0.04889950988942092) q[0];
cx q[1], q[0];
rx(-0.07085307453326078) q[0];
rz(0.9152945187110006) q[0];
rz(0.3208677905771808) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZIZIII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZIIIIZIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
-3,
1.5,
17,
14.5,
0.5,
4.5,
13.5,
2,
13,
4.5,
-11
] | 0.971815 | [
0.032248115415555584,
0.33385577454162885,
1.0319113545348177,
-0.19053047028307274,
0.06548715073067404,
0.5215707803424414,
0.7485338553997888,
-0.1378507549990304,
0.016782923338604473,
0.7059723593820753,
1.1569089793783096,
0.4481976544102897,
1.0069218978729366,
-0.003239021020362852... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -114.5,
"target_ratio": 0.97,
"target_value": -111.065
} | 15 |
b549f54f988f8e7587562ba90db6d29f | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [95, 127], "expectation_value": -20.146094622642337, "params": null, "bitstrings": ["11110100000", "11110000000"], "total_optimization_steps": 100, "probabilities": [0.18682486336314047, 0.303736406808388], "optimization_time": 283.42872619628906} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -3.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-45.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["11110000000"], "largest_eigenvalue": 38.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.823842556345826) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.823842556345826) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.2844177400400784) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.014019367632538055) q[2];
cx q[3], q[2]... | null | {"node": 2} | {"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[7], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIZIIZ",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIZIIIZIIII",
"IZIIIZIIIII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIZIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZIZIIII... | [
-2,
-2,
1,
0.5,
0.5,
0.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
-3,
-3,
1.5,
0.5,
-3,
1.5,
-3,
0.5,
-3,
-3.5,
1.5,
-3,
-3,
1,
-3,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.544096 | [
-0.823842556345826,
-0.2844177400400784,
0.014019367632538055,
-0.5591807353508634,
-0.5788174416303784,
-0.39634054266377894,
-1.0775092155877823
] | {
"n_parameters": 7,
"n_qubits": 11,
"optimal_eigenvalue": -45,
"target_ratio": 0.97,
"target_value": -43.65
} | 184 |
75d554aeee06fbf8bfe9226005af8f80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [177, 179], "expectation_value": -18.63029066176964, "params": null, "bitstrings": ["101001110", "101001100"], "total_optimization_steps": 84, "probabilities": [0.2343257698602638, 0.5943727541305504], "optimization_time": 140.64564418792725} | -0.5 * (Z(0) @ Z(3)) + -1.75 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -2.75 * (Z(1) @ Z(3)) + -1.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(8)) + -1.5 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(6)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(7) @ Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-21.75, -21.75, -21.75, -21.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -19.75, "smallest_bitstrings": ["111111100", "101001100", "100001100", "111101100"], "largest_eigenvalue": 22.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.006827207457323166) q[0];
rz(-0.23597771216824626) q[0];
rx(-0.09729894997585807) q[1];
rz(-0.01920919706870272) q[1];
rx(-0.14142198156836722) q[2];
rz(-0.5229930792730428) q[2];
rx(-0.043036273190443085) q[3];
rz(-0.2579346393862174) q[3];
rx(0.20157775298869324... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-0.7408) 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] = ... | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIZZIII",
"IIZIZIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
-0.5,
-1.75,
-0.5,
-1.25,
2.5,
-2.75,
-1.75,
-0.5,
-1.5,
-0.5,
-1,
-0.75,
-0.5,
-1.25,
-1.75,
2.75,
-0.25,
-4.5,
-2.75,
0.75,
-0.25,
0,
1.25,
3
] | 0.97937 | [
-0.0068272074573231655,
-0.20920089964796962,
-0.09729894997585808,
0.055575978225318096,
-0.1414219815683672,
-0.5701909759145707,
-0.04303627319044308,
-0.28259240878201897,
0.20157775298869324,
0.1793225612742884,
-0.04302723281296812,
-0.17848066687116995,
0.17253667000206355,
-0.35147... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -21.75,
"target_ratio": 0.97,
"target_value": -21.0975
} | 3 |
fc7b19754949f0e05a27875fb69f344a | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [24, 31], "expectation_value": -15.125493274049944, "params": null, "bitstrings": ["11100111", "11100000"], "total_optimization_steps": 54, "probabilities": [0.16125197062073443, 0.2518508410661102], "optimization_time": 69.14178895950317} | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 53.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.039738840687134236) q[0];
rz(-0.2353337499900654) q[0];
rx(-0.039738840687134236) q[1];
rz(-0.021455568999004995) q[1];
rx(0.00241554966618817) q[2];
rz(0.13687828871885735) q[2];
rx(2.1135641398643044) q[3];
rz(0.09140913237800194) q[3];
rx(3.251386907726556) q[4... | null | {"source": 0, "sink": 3} | {"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(62.9199) 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... | [
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII"
] | [
2,
6,
3,
-1,
-0.5,
-1.5,
-2,
-1,
-3,
1,
-0.25,
-0.25,
-0.125,
9,
4.5,
13.5,
-1.5,
-3,
-1,
-0.5,
-0.5
] | 0.972155 | [
-0.039738840687134236,
-0.2358725824553829,
-0.021455568999004995,
0.00241554966618817,
0.13687828871885735,
2.1135641398643044,
0.09140913237800194,
3.251386907726556,
0.10228857007698645,
3.096010759129636,
-0.05175610628712672,
-2.9402631276470084,
0.16839375237658555,
-2.80609486114488... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -22.125,
"target_ratio": 0.97,
"target_value": -21.46125
} | 4 |
caf35114cd2a6c8ee1f15868fb61caaf | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [97, 112], "expectation_value": -4.496515655422481, "params": null, "bitstrings": ["0011110", "0001111"], "total_optimization_steps": 22, "probabilities": [0.06700924257678981, 0.9297458928378854], "optimization_time": 21.505455493927002} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 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": ["1000111", "0001111", "0101011", "0111100", "0011110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3749281718942854) q[0];
h q[1];
ry(1.436274641141968) q[1];
h q[2];
rz(-pi) q[3];
ry(-0.0027262288444135988) q[3];
ry(-0.01206206755472066) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.546424165316911) q[5];
h q[6];
ry(-0.6161330637769687) q[6];
cx q[2], q[6];
ry(0.61... | 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[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", ... | [
"IIIZIIZ",
"IIZZIII",
"IIZIIZI",
"IZIZIII",
"IZZIIII",
"IZIIIZI",
"IZIIZII",
"ZIIZIII",
"ZIZIIII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1.5,
-0.5,
-1.5,
-0.5,
-1
] | 0.994718 | [
-1.546424165316911,
-1.5348459439607316,
-1.450976241884169,
1.436274641141968,
1.3749281718942854,
-1.2322661275539375,
0.6835045182460581,
-0.14628811761727423,
0.5727281584325545,
-0.2863042567543411,
0.15136107694265455,
-0.19566383028535825,
-0.2450926275102824,
0.21137010648256874,
... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
833c89e8aca800e5707fb47ea63f9088 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [0, 4], "expectation_value": -2.9959815914125336, "params": null, "bitstrings": ["11111", "11011"], "total_optimization_steps": 10, "probabilities": [0.003927302792350724, 0.9960139005851092], "optimization_time": 5.542099714279175} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["11011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZIZ",
"IIZZI",
"IIZZZ",
"IZZII",
"ZIZII",
"ZZIII",
"ZZZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.75,
-0.75,
0,
-0.75,
-0.75
] | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 13], "expectation_value": -2.022985411392768, "params": [[[0.29300000000000004, -0.1962], [0.3277, -0.1869], [0.6393, -0.006], [0.6954, -0.0013000000000000002], [0.442, 0.09920000000000001], [0.6528, -0.0014]], [[0.2959, -0.1962], [0.32330000000000003, -0.1869], [0.6408, -0.006], [0.7003, -0.00130000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
1.75,
1.75,
1.75,
1.75,
1.75,
2,
2,
1.75,
2,
2,
2,
2,
2,
2,
1.75,
-0.75,
-1,
-0.5,
-0.5,
-0.5,
-0.25
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
7218c16c40b056c69e97a1ee5dfc7d5c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [104, 360], "expectation_value": -8.087613730264472, "params": [0.3899, 0.3904, -0.0022, -0.0039000000000000003, 0.4042, 0.4068, 0.397, 0.40040000000000003, -0.0055000000000000005, -0.0041, 0.399, 0.4012, -0.011300000000000001, -0.0056, -0.0036000000000000003, -0.0029000000000000002, 0.39890000000000003, 0.3... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.0, "smallest_bitstrings": ["010010111", "110010110", "110110100"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.09249479330497584) q[0];
rz(1.098988601145285) q[0];
rx(-0.07515678843703101) q[1];
rz(1.094019075683054) q[1];
rx(2.073515481004475) q[2];
rz(1.6767147744576292) q[2];
rx(2.205690300228874) q[3];
rz(1.8360585434330172) q[3];
rx(-0.059685843797095024) q[4];
rz(1.45... | OPENQASM 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": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIIIIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIIZZI",
"IIIIZZIII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-3,
-1.5,
-3,
-2,
-0.5,
-3,
-1,
-1.5,
-1
] | 0.974657 | [
0.09249479330497584,
-0.471807725649611,
-0.07515678843703102,
-0.4767772511118431,
2.0735154810044745,
0.10591844766273237,
2.205690300228874,
0.2652622166381207,
-0.05968584379709502,
-0.12058180601181849,
0.8972102731308552,
0.11860153637015695,
0.2293498133517674,
0.9078344326806282,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 63 |
3093140569224957743 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [0, 4], [1, 3], [3, 4], [0, 1], [2, 4], [0, 3]]} | {"states": [9, 13], "expectation_value": -1.3841059733771666, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 27, "probabilities": [0.10202929943789955, 0.6806318925989161], "optimization_time": 16.483323097229004} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -0.5, "smallest_bitstrings": ["11100", "10010", "10100", "10110", "00011", "01001", "01011", "01101"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4335200908391319) q[0];
h q[1];
ry(0.5387371410147648) q[1];
h q[2];
h q[3];
ry(-0.5064374183618796) q[3];
cx q[2], q[3];
ry(0.5064374183618796) q[3];
cx q[2], q[3];
ry(-0.21358951427476564) q[3];
ry(1.1208043836079475) q[2];
cx q[2], q[1];
ry(-0.538737141... | 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];\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];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IZZII",
"IZIIZ",
"ZZIII",
"ZIZII",
"ZIIIZ",
"IZIZI",
"IIIZZ",
"IZIII",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.971479 | [
-1.0128748367237592,
1.1208043836079475,
-0.42717902854953127,
1.0774742820295296,
-0.8670401816782638,
0.899242545423995,
-0.43495861657646384,
0.46479130609129393,
-0.7194609303793622,
0.4439357163058152,
-0.2016086203436509,
0.18607008931157404,
-0.1345339314706374,
-0.24569781237465624... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 6 |
3809419528411037701 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 7], [8, 10], [9, 6], [0, 7], [1, 6], [2, 6], [10, 3], [10, 4], [10, 5], [11, 3]]} | {"states": [1278, 1271], "expectation_value": -3.991127970414257, "params": [[[-0.0038, 0.0023], [1.5727, 1.5183], [0.0019, 1.5126000000000002], [0.020200000000000003, 0.0682], [-1.5687, 2.0245], [-0.0031000000000000003, 1.1215000000000002], [-0.0025, -0.0031000000000000003], [-0.0032, -0.002], [1.5730000000000002, 1.5... | 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(9) + 0.0 * Z(2) + 0.0 * Z(10) + 0.0 * Z(8) + 0.0 * Z(11) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["101100001000", "111110000001", "010011110111", "000001111110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(2.895516481668575e-07) q[0];
ry(1.570796332996538) q[1];
ry(2.499790089582905e-08) q[2];
ry(5.891887997861233e-09) q[3];
ry(-1.5707963528068063) q[4];
ry(1.9655262822328683e-08) q[5];
ry(3.642569144788034e-08) q[6];
ry(-2.4065649678199954e-08) q[7];
ry(1.57079636538... | OPENQASM 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": []} | [
"IIZIIIIIIZII",
"IZIIIIIIIZII",
"ZIIZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIZIIIZIIII",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIIZIZIII",
"IIZIIIIIIIII",
"IIIIIIIIIZII",
"IZIIIIIIIIII",
"IIIZIIIIIIII",
"ZIIIIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.8 | [
2.895516481668575e-7,
1.570796332996538,
2.499790089582905e-8,
5.891887997861233e-9,
-1.5707963528068063,
1.9655262822328683e-8,
3.642569144788034e-8,
-2.4065649678199954e-8,
1.5707963653878139,
1.5707963699832193,
1.5707963433567376,
-4.2835745870016754e-7,
-0.08850340976921865,
1.4986156... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 488 |
6d1a9a1cda08ec4eaf9d390307f681d3 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [249, 255], "expectation_value": -1.381766958861479, "params": [[0.0785, 0.075], [-0.0847, -0.07490000000000001]], "bitstrings": ["100000110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.004780178155902141, 0.0049902840854878505], "optimization_time": 4.185078144073486} | -0.5 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000110", "100000000"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.07074011565942544) q[0];
ry(-0.034241740674030983) q[1];
ry(-0.02310418963090609) q[2];
ry(0.005094891914534702) q[3];
ry(-0.09267291565237382) q[4];
ry(-0.017933789297370564) q[5];
ry(-0.017844733894503077) q[6];
ry(-1.4761617350858658) q[7];
ry(-0.196414718262419... | OPENQASM 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",
"IIIIIZIZI",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIIIIIZI",
"IIZIIIZII",
"IZIIIIZII",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZZIIIII",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIIIZIII",
"... | [
-0.5,
-1.25,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
-0.25,
-1.5,
-1.25,
-0.25,
0.25,
0.5,
0,
-1,
1,
-0.5,
1.25
] | 0.970829 | [
0.07074011565942544,
-0.034241740674030983,
-0.02310418963090609,
0.005094891914534702,
-0.09267291565237382,
-0.017933789297370564,
-0.017844733894503077,
-1.4761617350858658,
-0.19641471826241974,
-0.01619831545614741,
-0.027941870608550645,
0.021450166630002546,
0.010960213137639908,
0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 52 |
784a7d1914642d32b8d9e24da5ce100e | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [52, 56], "expectation_value": -3.9963978611297515, "params": null, "bitstrings": ["1001011", "1000111"], "total_optimization_steps": 29, "probabilities": [0.06635232627248393, 0.9303264936654667], "optimization_time": 24.665363311767578} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7397964017790035) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(-0.7397964017790035) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.7397964017790035) q[4];
cx q[0], q[4];
rz(0.8795768044253869) q[0];
rx(-0.730140045951841... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIZIII",
"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,
-1,
-1,
-1,
-0.5,
-0.5,
-0.5,
-1
] | 0.738887 | [
-0.7397964017790035,
0.8795768044253864,
0.32475766842351955,
-0.7301400459518418,
0.34610326116608253,
-0.07670284995624277,
0.0651643830681458,
1.6023376137444998
] | {
"n_parameters": 8,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 219 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [57023, 57015], "expectation_value": -18.805746630498437, "params": [[[1.387, -0.0637, 0.004200000000000001, 0.0056], [0.6525000000000001, 0.024800000000000003, -0.184, 0.0013000000000000002], [0.11660000000000001, 0.0397, 0.0026000000000000003, 0.0412], [0.7665000000000001, -0.0167, 0.6886, 0.0038], [-0.060... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 12 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.9999999999999, "smallest_bitstrings": ["0010000101001000"], "largest_eigenvalue": 68.0000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
a05d82ae8330cd3637e3aa5e24462366 | 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": [3732, 3220], "expectation_value": -95.75375135700689, "params": [2.4085, 0.0091, 2.3973, 0.00030000000000000003, 1.5646, 0.0054, 0.003, 0.0067, 2.4072, 0.0012000000000000001, 0.0028, 0.0006000000000000001, 0.0018000000000000002, 0.0013000000000000002, 2.4012000000000002, 0.006900000000000001, 1.3198, 0.001,... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(0) @ Z(2)) + 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(3) @ Z(7)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(0)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(9)) + 7.5 * (Z(11) @ Z(1)) + 8.5 * Z(2) + 17.0 * Z(1) + 22.5 * Z(0) + 7.5 * Z(4) + ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-139.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.5, "smallest_bitstrings": ["001101101011"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.970456304495091) q[0];
rz(0.8137914646532387) q[0];
rx(2.940424386069066) q[1];
rz(-0.07655499770010168) q[1];
rx(0.10359005879613577) q[2];
rz(0.062134330841420615) q[2];
rx(0.03709422711727986) q[3];
rz(0.0972938108749755) q[3];
rx(3.1064046827880656) 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, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIZIIIZIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIZIIII",
"IIIIIIZIIIII",
"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,
8.5,
17,
22.5,
7.5,
-6,
6.5,
-6.5,
-5.5,
4,
13.5,
-2.5,
-4.5
] | 0.975168 | [
2.970456304495091,
0.6934446679494668,
2.940424386069066,
-0.07655499770010168,
0.10359005879613577,
0.062134330841420615,
0.03709422711727986,
0.0972938108749755,
3.1064046827880656,
-0.1558496065679964,
-0.07708974524822663,
0.23256294597496519,
0.06947661425758211,
-0.1681900328072159,
... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -139.5,
"target_ratio": 0.97,
"target_value": -135.315
} | 21 |
3fb92c2724b637b3a6562529e78f511e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [345, 218], "expectation_value": -20.28281343949101, "params": [[0.0227, -0.0446, -0.0229], [-0.0422, 0.0565, 0.07010000000000001]], "bitstrings": ["010100110", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007067194669440677, 0.008905794488409202], "optimization_time": 5.540162563323975} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(8)) + 9.5 * Z(0) + 10.0 * Z(1) + 18.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 144.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.03793116302086931) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(-0.03793116302086931) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.03793116302086931) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.03793116302086931) q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIZIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIIIZ",
"IZIIIIZII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
10,
18,
15.5,
7.5,
8.5,
-1.5,
5,
13.5
] | 0.972918 | [
-0.03793116302086931,
-1.4248751134690034,
0.8964339439827548,
1.4787506140257047,
1.5833165455215517,
-1.1332226758853523,
1.2759810525841642,
-1.2072559147152429,
-1.196711431177058,
1.2757363169196658,
-1.3277207555605701,
0.14921189922378797,
-0.33133647995979043,
1.3848966292509064,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -76.5,
"target_ratio": 0.97,
"target_value": -74.205
} | 110 |
1d90f6c59bdc244a93b2d39d285f8ffc | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 3}, {"weight": 1, "source... | {"states": [246, 214], "expectation_value": -63.21945045415957, "params": [1.3681, -0.0018000000000000002, 2.4817, -0.0027, 2.4898000000000002, -0.0033, 2.507, -0.7804, 2.4962, 0.0031000000000000003, 0.8806, 1.0705, 2.4978000000000002, 0.0023, 2.5060000000000002, 0.0032, 1.067, 0.0091, -1.3627, 0.6754, 0.68580000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 1.5 * Z(0) + 14.0 * Z(2) + 0.5 * Z(3) + 9.... | 4 | 9 | 1 | {"smallest_eigenvalues": [-84.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 137.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.11384371007113302) q[0];
ry(-1.5125674315360826) q[1];
rz(-pi) q[1];
h q[2];
ry(39.261971138219806) q[2];
cx q[2], q[1];
ry(17.744125257816545) q[1];
cx q[2], q[1];
ry(30.486063684922097) q[1];
ry(-2.505625950584892) q[3];
rz(-pi) q[3];
ry(-1.3245485124425... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIZII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
1.5,
14,
0.5,
9,
6,
12.5,
11,
3.5
] | 0.97089 | [
11.402711055378145,
39.261971138219806,
-35.48825051563309,
38.13236552321641,
17.063468629428158,
-29.951360821150377,
60.972127369844195,
4.328633652998325,
9.495316205427365,
0.5248788916778353,
0.8199014642243193,
0.2660278038391247,
-0.22768742014226603,
-4.813853568709097,
-0.06522... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -84.5,
"target_ratio": 0.97,
"target_value": -81.965
} | 178 |
8c44c442a25e00dfae4e1647b2faf79f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 6], "expectation_value": -2.4741067800343983, "params": null, "bitstrings": ["11010", "11001"], "total_optimization_steps": 15, "probabilities": [0.07397901535883082, 0.900574512415704], "optimization_time": 8.965117931365967} | 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "11001", "10110", "01101"], "largest_eigenvalue": 6.5} | 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[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIIZ",
"IZIZI",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5,
-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 |
5599209576576838279 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 7, 8], [8, 2, 6, 7], [0, 1, 2, 3, 5, 6, 7]]} | {"states": [415, 381], "expectation_value": -0.25772727852958977, "params": [[-0.47240000000000004], [0.4651]], "bitstrings": ["001100000", "010000010"], "total_optimization_steps": 50, "probabilities": [0.0032413098979464567, 0.003241309897946458], "optimization_time": 6.823251247406006} | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(1)) + 0.047619047619047616 * (Z(3) @ Z(0)) + 0.047619047619047616 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809, -0.6309523809523809], "number_of_smallest_eigenvalues": 11, "first_excited_energy": ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5990053751911786) q[0];
rz(1.5272195001520537) q[0];
rx(1.9434302156905836) q[1];
rz(1.6904274673096893) q[1];
rx(2.0019323064244707) q[2];
rz(1.563335031340661) q[2];
rx(1.2788194016371794) q[3];
rz(1.5950879200008785) q[3];
rx(1.5120633920513402) q[4];
rz(1.65532... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIIZIIII",
"ZZIIIIIII",
"... | [
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.13095238095238093,
0.047... | 0.976012 | [
1.5990053751911786,
-0.043576826642842695,
1.9434302156905838,
0.11963114051479325,
2.0019323064244707,
-0.007461295454235295,
1.2788194016371794,
0.024291593205982343,
1.5120633920513404,
0.08452753875540402,
0.7533132958276854,
-0.10213569831762125,
0.7880986059751813,
-0.054440124388465... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -0.6309523809523809,
"target_ratio": 0.97,
"target_value": -0.6120238095238095
} | 104 |
151fc38f9e9506dbe7b8d603642ed0f4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [2717, 2749], "expectation_value": -3.849209437587371, "params": [[[1.5686, 0.002], [0.0023, 1.1356000000000002], [1.5689000000000002, 0.0026000000000000003], [0.0029000000000000002, -1.1424], [1.5717, 0.0017000000000000001], [-0.0023, -1.036], [0.8457, -0.0198], [1.5557, -0.0016], [1.5724, 0.001700000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(4) @ Z(8)) + 0.0625 * (Z(4) @ Z(9)) + 0.0625 * (Z(4) @ Z(10))... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.3125, "smallest_bitstrings": ["010100110000", "001101000100", "100000100101", "010101000010"], "largest_eigenvalue": 7.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.17317600305072878) q[0];
rz(-0.42297669125496196) q[0];
rx(1.5063122064167114) q[1];
rz(0.03602670538695918) q[1];
rx(0.20610626793768225) q[2];
rz(0.2981911126797301) q[2];
rx(-0.24455030603049477) q[3];
rz(0.3563490199978947) q[3];
rx(1.6075435005564473) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIZZZIIII",
"IIIIZIIZIIII",
"IIIZIIIZIIII",
"IIZIIIIZIIII",
"IZIIIIIZIIII",
"IIIZZIIIIIII",
"IIZIZIIIIIII",
"IZIIZIIIIIII",
"IIZZIIIIIIII",
"IZIZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0... | 0.971121 | [
0.17317600305072878,
-0.23081802038115148,
1.5063122064167114,
0.004624880736318809,
0.20610626793768227,
0.3818237321859286,
-0.24455030603049477,
0.35324637133257203,
1.6075435005564471,
-0.083031024163912,
0.025915013302790522,
0.6234872124257149,
1.43858436937468,
-0.17701267924159825,... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 14 |
9529baf1c272123f159cd9ccf2735587 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [64, 63], "expectation_value": -0.4106531086748229, "params": [[-0.056900000000000006, -0.0853], [0.0597, 0.076]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.012098609572544876, 0.012689470582015413], "optimization_time": 4.706388473510742} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
c4fd4922d2c165ab37a0955c733d543f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -14.326742898232974, "params": [[0.0056, -0.0351, -0.029500000000000002, 0.0131], [-0.037200000000000004, 0.0398, 0.053500000000000006, 0.014400000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00995898186156702, 0.010... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
16.5,
3,
18,
12.5,
2.5,
9.5,
12.5,
15
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
7e10b313c0e966d78a431e218b1e1e89 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 5}, {"weight": 17, "source": 1, "tar... | {"states": [250, 234], "expectation_value": -23.575543580132102, "params": [[0.0325, 0.0022], [-0.07830000000000001, -0.0674]], "bitstrings": ["100000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006336888214720272, 0.008607424075511325], "optimization_time": 3.398092746734619} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-88.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.9628339992251395) q[0];
rz(0.24643778475032496) q[0];
rx(0.031934521230925945) q[1];
rz(0.6957418773789037) q[1];
rx(0.746952282078199) q[2];
rz(0.19202549982061745) q[2];
rx(-0.03353672724594935) q[3];
rz(-0.30813565141290766) q[3];
rx(0.11895133461832372) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIZZIIII",
"IZIZIIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
5,
17.5,
17,
2.5,
18.5,
13,
14,
-4
] | 0.971124 | [
0.9628339992251392,
0.321276928460635,
0.031934521230925945,
0.48039896751430633,
0.746952282078199,
0.0959376568954999,
-0.03353672724594936,
-0.35070992475926976,
0.11895133461832372,
-0.4306747619097894,
0.07759593497180284,
0.34292022266484173,
0.8259879532623664,
0.2553982184908408,
... | {
"n_parameters": 80,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 6 |
6f98ac79783fe743485024afff5419b3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "sourc... | {"states": [430, 234], "expectation_value": -10.085893317589244, "params": [[0.040100000000000004], [-0.0627]], "bitstrings": ["001010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0036962687519786234, 0.004284886374666227], "optimization_time": 1.983668327331543} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027300810277835305) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027300810277835305) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027300810277835305) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027300810277835305) q[3];
cx 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
20.5,
6.5,
20.5,
17.5,
1.5,
19.5,
9.5,
8.5,
3.5
] | 0.970453 | [
0.027300810277835305,
-1.6846101293861904,
0.938784588184504,
-1.1821904956661067,
0.7975934431822864,
-1.4767740366808548,
0.8989824274424834,
-1.3292049087560975,
1.1183003308946238,
1.2125592818158257,
-0.31727518491282247,
-0.3357887155274212,
0.5888730662001501,
-1.0094947394247964,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 56 |
736f86727c31ef3d34155601bf70eebe | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [72, 74], "expectation_value": -4.039867782918707, "params": [[[-0.0031000000000000003, -0.1927], [0.4005, 0.0025], [-0.0025, 0.1951], [0.13, 0.1365], [0.4066, 0.0014], [0.19010000000000002, -0.0918], [0.4, -0.0009000000000000001], [-0.0047, 0.198]], [[-0.0048000000000000004, -0.1927], [0.4026, 0.0025], [-0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.0 * Z(3) + -1.5 * Z(0) + -1.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["10110101", "01011011", "10101101", "11110010", "11110001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-2.342893017761149) q[0];
ry(0.0007918456622356473) q[0];
rz(1.974427371550254) q[0];
rz(-2.642685109174984) q[1];
ry(2.78450030583078) q[1];
rz(0.42250069429055914) q[1];
rz(-0.7292678682787503) q[2];
ry(0.07657652854836439) q[2];
rz(1.2094121853284285) q[2];
rz(-1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZZI",
"IIZIZIII",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-1,
-1.5,
-1,
-1.5,
-0.5
] | 0.973734 | [
-0.00846477742329542,
-0.055622266284651764,
0.788401512527127,
0.2502874114568491,
0.15449180553696115,
-0.009430086085208747,
0.06328659993993795,
0.059761359545973655,
0.7024011718389425,
-0.19966500145057628,
-0.01126754733414171,
-0.14137424435593215,
0.9954869662127586,
0.05998342962... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 12 |
-7137806542513040045 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [1, 3, 4, 5, 7], [1, 6]]} | {"states": [212, 216], "expectation_value": -0.0171061747622796, "params": [[0.0692], [-0.0709]], "bitstrings": ["00101011", "00100111"], "total_optimization_steps": 10, "probabilities": [0.004043777437679961, 0.004043777437679961], "optimization_time": 2.5072665214538574} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) +... | 1 | 8 | 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[8] q;
h q[0];
ry(-0.30143180987773677) q[0];
h q[1];
ry(1.41507828412027) q[1];
h q[2];
cx q[2], q[0];
ry(0.30143180987773677) q[0];
cx q[2], q[0];
ry(-0.08529949023517137) q[2];
cx q[0], q[2];
ry(0.08529949023517137) q[2];
cx q[0], q[2];
ry(-0.22236894463345272) q[0];
ry(0.5... | 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.2666666666666666,
0.16666666666666666,
0.16666666666666666,
0.1,
0.1,
0.1,
0.1,
0
] | 0.972708 | [
1.41507828412027,
-1.2308196680957544,
0.04902357682142916,
-0.6028636197554735,
-0.10045785547488968,
-0.27725493501962056,
-0.17059898047034275,
0.1729715008976665,
0.4179479843263121,
0.5093381688909204,
0.21735364528295054,
0.1313607157605306,
0.5872859374418793,
0.16773130976520473,
... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -1.0333333333333332,
"target_ratio": 0.97,
"target_value": -1.0023333333333333
} | 14 |
1960014187574628116 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 5, 6, 7], [0, 4], [1, 4]]} | {"states": [30, 214], "expectation_value": -0.00942632272188862, "params": [[-0.0431], [0.050100000000000006]], "bitstrings": ["11100001", "00101001"], "total_optimization_steps": 10, "probabilities": [0.003983508909701777, 0.003983508909701777], "optimization_time": 0.6298544406890869} | 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.1 * Z(3) + 0.1 * Z(2) + 0.1 * Z(5) + 0.1 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-2.6923974583408463) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.5761004097648326) q[4];
cx q[1], q[4];
ry(0.5761004097648326) q[4];
cx q[1], q[4];
ry(-0.3215826225275981) q[4];
cx q[0], q[4];
ry(0.3215826225275981) q[4];
cx q[0], q[4];
ry(1.31530312571... | 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[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[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[2], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"IZIIZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI"
] | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.1,
0.1,
0.1,
0.1,
0.1,
0,
0,
0
] | 0.970946 | [
-1.1522008195296651,
1.3153031257142687,
-0.6431652450551962,
1.5117770870591212,
0.5567750296691458,
-0.6277178292173567,
0.3084088913946328,
0.8536280495910101,
0.5359461639098789,
-0.2152017288708335,
0.052331162110542485,
0.43592991160614175,
0.4547263432949564,
-0.7644017837728105,
... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -1.2000000000000002,
"target_ratio": 0.97,
"target_value": -1.1640000000000001
} | 27 |
c22cec1796f2f52036673550667aae4b | 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": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -22.819526355767795, "params": [[0.0247, -0.0001, 0.0106], [-0.051500000000000004, -0.0407, -0.0536]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005645626520144986, 0.007216728210980614], "optimization_time": 11.312159299850... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 173.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022550136038931325) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022550136038931325) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022550136038931325) q[2];
cx q[0], q[2];
rz(1.5706696547603212) q[0];
rx(1.5752335318930322) q[0];
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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIZIIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11.5,
2,
19.5,
11.5,
23.5,
17,
13.5,
3,
4.5
] | 0.798275 | [
0.022550136038931325,
-1.5647798587286847,
1.5706696547603212,
-1.5704337829937085,
-1.5705745241370213,
-1.5703057136803882,
-1.5706971062399833,
1.5706462974086588,
1.5752335318930322
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -86.5,
"target_ratio": 0.97,
"target_value": -83.905
} | 249 |
d1cbae91a8cc7bc4b3c16493bbaa3c02 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -12.052054232227816, "params": [0.00030000000000000003, -0.002, 0.0057, -0.0001, 0.0013000000000000002, -0.0021000000000000003, 0.2034, 0.1993, 0.0063, 0.0001, -0.0, 0.0028, -0.0, 0.0011, 0.007200000000000001, 0.0031000000000000003, 0.006500000000000001, 0.0005, -0.000300000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(5)) + -0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(10)) + -0.25 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.4865245434672004) q[0];
rz(1.6629385594734352) q[0];
rx(0.3039199338119234) q[1];
rz(2.1377759397414353) q[1];
rx(0.06168401250319685) q[2];
rz(1.6446519500062227) q[2];
rx(1.3873345652629223) q[3];
rz(1.5277732264188586) q[3];
rx(-0.13654629407086985) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIIZIIIII",
"IZIIIIIIIIZI",
"IZIIIIIIIIIZ",
"IIZIIIIIIIZI",
"ZIIIIIIIIIZI",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IZIIIIIIZIII",
"ZIIIIIIIZIII",
"IIIIIIIZIIZI",
"IIIIIIZZIIII",
"IZIIIIIZIIII",
"IIZIIIIZI... | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
2,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
1,
-0.25,
-0.25,
-0.75,
0.5,
0.5,
-... | 0.97004 | [
-0.4865245434672004,
0.09214223267853955,
0.3039199338119234,
0.5669796129465388,
0.06168401250319685,
0.07385562321132609,
1.3873345652629223,
-0.04302310037603836,
-0.13654629407086988,
0.12285982420837123,
-0.1990559326304538,
-0.044254409763865805,
0.18872506598668098,
-0.0222835118450... | {
"n_parameters": 55,
"n_qubits": 12,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 8 |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [52, 44], "expectation_value": -3.4890916346507894, "params": null, "bitstrings": ["1001011", "1010011"], "total_optimization_steps": 32, "probabilities": [0.06071916604716631, 0.8639381839609779], "optimization_time": 23.539486169815063} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0001111", "0010111", "0110110", "1110010", "1010011", "0101101", "1001011"], "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(0.00016732716707271525) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.00016732716707271525) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00016732716707271525) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.00016732716707271525) q[3];
c... | null | 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[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", ... | [
"IIZIIIZ",
"IZZIIII",
"IZIIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIIIZII",
"IZIZIII",
"IIIZZII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.920635 | [
0.00016732716707271525,
-0.5924455788903747,
1.1202157596152196,
-2.1299919140966863,
-0.921283751470345,
-0.9259638537657344,
0.656788748097326,
0.05566707846777746,
-0.2350099582362983,
-0.00025338828965832576,
-0.7056870444167618,
0.6002165622279372,
0.40321396654204583,
-0.860670749125... | {
"n_parameters": 33,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 500 |
bbe36c72142a04c8b1698fed3f77c25c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target"... | {"states": [19, 18], "expectation_value": -4.002328098511838, "params": [[[0.8886000000000001, 0.0019], [0.2746, -0.3064], [0.2705, 0.3099], [0.874, 0.004], [0.7325, 0.08270000000000001]], [[0.8902, 0.001], [0.28290000000000004, 0.006500000000000001], [0.2707, 0.0036000000000000003], [0.8777, 0.0061], [0.73120000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -3.0 * Z(1) + -2.5 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "01110", "01101"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
1.75,
2,
1.75,
2,
-3,
-2.5,
-3,
-2.5,
-2.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
5bb3f230f56ac9bab802a8146772ac94 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "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": [7, 3], "expectation_value": -3.074889005081605, "params": [[-0.0204, 0.0307], [0.028900000000000002, -0.0252]], "bitstrings": ["1111000", "1111100"], "total_optimization_steps": 10, "probabilities": [0.00862324179968387, 0.008651736148040493], "optimization_time": 4.223191976547241} | 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)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 16 | 7 | 2 | {"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;
rz(1.3575967410398402) q[0];
ry(0.23056017395815415) q[0];
rz(-2.1527971274231117) q[0];
rz(2.1944677167826203) q[1];
ry(0.05030497465019496) q[1];
rz(-2.8091255821394294) q[1];
rz(-1.511568472926434) q[2];
ry(0.04553382172753725) q[2];
rz(1.3964510322511128) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"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,
3,
3,
2.75,
3,
3,
3,
3,
3,
2.75,
-10,
-10,
-10,
-10,
-10.25,
-9.5,
-9.25
] | 0.980973 | [
0.09085077104571271,
-0.39163003103168686,
0.029002652567583387,
-0.17994215576337833,
-0.023964673237098832,
-0.028853264432669792,
-0.16848169343109856,
-0.14065021757364785,
-0.17872212893725806,
-0.4178187803775564,
0.8594119505040079,
-0.03397819378386626,
0.7387488080723611,
-0.03214... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -31,
"target_ratio": 0.97,
"target_value": -30.07
} | 9 |
3089006415682407251 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [4, 7], [3, 6], [1, 6], [0, 7], [0, 4], [5, 7], [0, 3], [2, 6], [2, 7], [0, 2], [2, 3], [4, 6], [3, 5], [0, 5]]} | {"states": [46, 209], "expectation_value": -0.1593088183572562, "params": [[-0.0782], [0.0702]], "bitstrings": ["11010001", "00101110"], "total_optimization_steps": 10, "probabilities": [0.004526856939767738, 0.004526856939767738], "optimization_time": 2.1990702152252197} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["00101110", "01011001", "01101100", "10100110", "10000110", "10000011", "01111001", "01111100", "10010011", "11010001"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.6187503137244247) q[0];
h q[1];
ry(-0.7690825511422056) q[1];
h q[2];
ry(0.8224172131270159) q[2];
h q[3];
ry(-0.22589753428175247) q[3];
h q[4];
cx q[4], q[0];
ry(0.6187503137244247) q[0];
cx q[4], q[0];
ry(-0.3268606001994062) q[0];
ry(0.748802305340994)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[6], q[4];
rz(x0) q[4];
cx q[6], q[4];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIII",
"ZIIZIIII",
"IZIZIIII",
"IZIIZIII",
"IZIIIIZI",
"ZIIIIIIZ",
"IIIZIIIZ",
"IIIIZIIZ",
"ZIZIIIII",
"IIZIZIII",
"IIZIIIIZ",
"ZIIIIZII",
"IZIIIZII",
"IIIIZZII",
"IIIIIZIZ",
"ZIIIIIII",
"IZIIIIII",
"IIIZIIII",
"IIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIZI... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973838 | [
-0.45179506856350493,
1.4839054409407806,
1.6448344262540318,
-0.9213400544941912,
-0.6885331102018013,
1.2618284780995837,
-1.5381651022844112,
-0.35412302771149323,
0.26793020446876187,
-1.2375006274488494,
0.5290083106228124,
-0.6537212003988124,
0.43958798943636335,
-0.5181583186641232... | {
"n_parameters": 52,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 14 |
685055bd53f01c347f7f2a1d5c7df105 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, ... | {"states": [101, 85], "expectation_value": -0.34792551485565865, "params": [[0.0728, 0.0695], [-0.0665, -0.0711]], "bitstrings": ["0011010", "0101010"], "total_optimization_steps": 10, "probabilities": [0.010982835910420223, 0.010982835910420229], "optimization_time": 2.615830898284912} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(5) + 0.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101010", "0011010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4797837349974001) q[0];
h q[1];
ry(-0.4594080077714834) q[1];
h q[2];
cx q[2], q[1];
ry(0.4594080077714834) q[1];
cx q[2], q[1];
ry(-0.5285091559094166) q[1];
ry(1.0501560861052301) q[2];
cx q[0], q[2];
ry(-0.3025437017855025) q[2];
cx q[0], q[2];
cx q[0], ... | 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[5], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"ZZIIIII",
"ZIIZIII",
"IZZIIII",
"IZIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-0.5,
-1,
-0.5,
0
] | 0.997373 | [
-1.5405747286543274,
1.4797837349974001,
-0.9188160155429668,
0.7476123843197278,
-0.26430076643161604,
0.605087403571005,
-0.5284167789556011,
0.3929290780401221,
-0.17663854259786047,
0.19831948416073308,
0.08498676328191558,
0.02449914135155666,
-0.004685982379966258,
-0.210952603139486... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
4286d838a0864c608421aefd7c0a8694 | 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": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [129, 3], "expectation_value": -15.8282184789504, "params": null, "bitstrings": ["01111110", "11111100"], "total_optimization_steps": 45, "probabilities": [0.21414457341852555, 0.4733969601642436], "optimization_time": 48.07623839378357} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx q[7], ... | 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(0.9755) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
-510537143554894511 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[2, 3, 4, 5, 6, 8, 10, 11], [0, 2, 3, 4, 5, 6, 9, 10, 11, 12], [2, 4, 7], [2, 7, 9, 11, 12], [0, 2, 5, 7, 8, 10, 11, 12], [0, 4, 5, 6, 7, 8, 10], [0, 1, 2, 6, 10, 12], [8, 9, 11, 4], [0, 4, 5, 6, 7, 10, 12], [0, 1, 3, 5, 6, 7, 8, 10, 11, 12], [0, 1, 9... | {"states": [7095, 7091], "expectation_value": -5.093230109107454, "params": [[[3.1430000000000002, 0.002, 0.0086, 0.009000000000000001], [-0.003, 0.9068, 1.5738, 0.0081], [-0.0021000000000000003, 0.0032, 0.0081, 0.0058000000000000005], [1.4428, 0.0029000000000000002, 0.8534, 0.0], [3.1437, 0.0054, 0.005200000000000001,... | 0.23015873015873012 * (Z(2) @ Z(3)) + 0.06468253968253967 * (Z(4) @ Z(3)) + 0.19563492063492063 * (Z(4) @ Z(2)) + 0.18293650793650795 * (Z(5) @ Z(3)) + 0.098015873015873 * (Z(5) @ Z(2)) + 0.1599206349206349 * (Z(5) @ Z(4)) + 0.19484126984126982 * (Z(6) @ Z(3)) + 0.13015873015873014 * (Z(6) @ Z(2)) + 0.1361111111111111 ... | 12 | 13 | 1 | {"smallest_eigenvalues": [-5.176984126984126], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.122222222222222, "smallest_bitstrings": ["0010001001100"], "largest_eigenvalue": 27.000000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(3.3345702290535084) q[0];
rz(-0.18017969930988784) q[0];
ry(0.015204234114421091) q[1];
rz(1.0424042780905323) q[1];
cz q[1], q[0];
ry(3.1166347721757144) q[1];
ry(-0.2055008558690347) q[2];
rz(-0.07246091975202046) q[2];
ry(1.398290249293918) q[3];
rz(-0.0433654662... | OPENQASM 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": []} | [
"IIIIIIIIIZZII",
"IIIIIIIIZZIII",
"IIIIIIIIZIZII",
"IIIIIIIZIZIII",
"IIIIIIIZIIZII",
"IIIIIIIZZIIII",
"IIIIIIZIIZIII",
"IIIIIIZIIIZII",
"IIIIIIZIZIIII",
"IIIIIIZZIIIII",
"IIIIZIIIIZIII",
"IIIIZIIIIIZII",
"IIIIZIIIZIIII",
"IIIIZIIZIIIII",
"IIIIZIZIIIIII",
"IIZIIIIIIZIII",
"IIZIIIIIIIZ... | [
0.23015873015873012,
0.06468253968253967,
0.19563492063492063,
0.18293650793650795,
0.098015873015873,
0.1599206349206349,
0.19484126984126982,
0.13015873015873014,
0.1361111111111111,
0.15674603174603174,
0.20396825396825397,
0.14285714285714285,
0.19999999999999998,
0.21111111111111108,
... | 0.975684 | [
3.3345702290535084,
-0.18017969930988784,
0.015204234114421091,
1.0424042780905323,
-0.2055008558690347,
-0.07246091975202046,
1.398290249293918,
-0.043365466277525064,
3.215322129315532,
0.18236803500581936,
-0.03140085372570803,
1.2524824586204626,
0.1209176443939413,
0.12582913304846702... | {
"n_parameters": 33,
"n_qubits": 13,
"optimal_eigenvalue": -5.176984126984126,
"target_ratio": 0.97,
"target_value": -5.021674603174603
} | 1 |
89d213db5d99a8088aae8fb8b9eebd4c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [4095, 4094], "expectation_value": -34.523621479866286, "params": [[[-0.07440000000000001, 3.1627], [0.0016, -0.0123], [0.0023, 0.0019], [0.0018000000000000002, 0.002], [0.0023, 0.002], [-0.0025, -0.0027], [0.0019, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0019, 0.002], [0.0023, 0.0021000000... | -2.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(5)) + -2.0 * (Z(10) @ Z(8)) + -2... | 15 | 12 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["000000000001"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
ry(0.555048998763726) q[1];
h q[2];
ry(0.555048998763726) q[2];
h q[3];
ry(0.555048998763726) q[3];
cx q[0], q[3];
ry(-0.555048998763726) q[3];
cx q[0], q[3];
ry(1.3370263145247818) q[0];
ry(0.8907325271850259) q[3];
h q[4];
h q[5];
ry(0.695657766347013... | OPENQASM 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... | {"node": 12} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIZZIIIIIIII",
"IIZIIIZIIIII",
"IZIZIIIIIIII",
"IZIIIIZIIIII",
"IZZIIIIIIIII",
"IIIZIZIIIIII",
"IIIIIZZII... | [
-2,
1,
-2.5,
0.5,
0.5,
-2,
-2.5,
1,
-2.5,
-2,
-2.5,
1,
-3,
-2,
-2.5,
1,
0.5,
0.5,
-2,
0.5,
-3,
1.5,
-3,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.93206 | [
1.110097997527452,
-0.43588300405619707,
1.3913155326940279,
1.431510678185391,
-0.135532362531365,
1.338617909346844,
0.2819848910679903,
1.0485491897292876,
-1.611832201896443,
-0.0036222039581979837,
-0.09673231977215829,
0.03100041667864393,
-0.4608977770273716,
-0.13128002214884027,
... | {
"n_parameters": 87,
"n_qubits": 12,
"optimal_eigenvalue": -35,
"target_ratio": 0.97,
"target_value": -33.949999999999996
} | 500 |
4e1e131ba2ff0afb42d5840cf309482d | 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": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [127, 9], "expectation_value": -5.928827108084507, "params": [[0.0771, 0.07490000000000001, 0.0718], [-0.07100000000000001, -0.0704, -0.0771]], "bitstrings": ["10000000", "11110110"], "total_optimization_steps": 10, "probabilities": [0.02023576164629972, 0.027631694796387257], "optimization_time": 5.46174883... | -1.25 * (Z(0) @ Z(2)) + -2.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 2.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(1) @ Z(6)) + -2.0 * (Z(5) @ Z(2)) + -1.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.2989310394956284) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.02662389232648926) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.06709085043684684) q[6];
cx q[0], q[6];
h q[7];
cx q[2], q[7];
rz(0.0092121... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIIZI",
"IIZIIZII",
"IZZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IIZIZIII",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZII... | [
-1.25,
-2,
-1,
-0.25,
2.5,
-0.25,
-1.25,
-2,
-1.75,
-0.5,
-0.75,
-2,
-1.5,
-0.5,
-1.25,
-0.25,
0.25,
-0.25,
-0.75,
0.75,
-0.5,
-2.25,
-0.75,
3.5
] | 0.97028 | [
0.2989310394956284,
0.02662389232648926,
0.06709085043684684,
0.009212196364062227,
-0.26892546559923447,
0.1378679875471954,
0.20988688397540067,
0.3428483359699397,
0.029685488370151503,
0.32702540149355946,
-0.3974210224490809,
0.2724887268250979,
-0.13774748204954596,
1.113372835236305... | {
"n_parameters": 56,
"n_qubits": 8,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 177 |
117d5eadcb002c843d1e10097e462227 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 26.342323780059814} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(1.4479777882315188) q[0];
rz(-0.0410635451729493) q[0];
rx(1.6707270756630017) q[1];
rz(-0.5025707057789535) q[1];
rx(0.12191439196254802) q[2];
rz(-0.10535812139801859) q[2];
rx(-0.17080179574029059) q[3];
rz(0.36643007906481095) q[3];
rx(0.12191439196254804) q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIIZ",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"ZIIIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
0,
0,
0
] | 0.975636 | [
1.447977788231519,
-0.13929152858914753,
1.670727075663002,
0.12191439196254804,
0.2784167354321591,
-0.1708017957402906,
0.6155213340906953,
0.34082768408182945,
0.07876221148488821,
-0.5482503076417033,
0.39134103961369215,
-0.49818251005176784,
-0.7675497136603552,
-0.7265583543796119,
... | {
"n_parameters": 27,
"n_qubits": 6,
"optimal_eigenvalue": -3.0625,
"target_ratio": 0.97,
"target_value": -2.970625
} | 11 |
864f213918e4b694952e53439a24874e | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [0, 281], "expectation_value": -6.159724551392007, "params": [-0.1754, 0.0085, -0.1452, 0.0024000000000000002, 0.23220000000000002, -0.029, 0.2442, -0.026000000000000002, 0.0089, 0.2791, -0.0012000000000000001, 0.3039, 0.0004, 0.3032, 0.0012000000000000001, 0.3012, -0.0181, 0.3024, 0.0067, 0.3085, 0.21100000... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 6 | 10 | 3 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2603210410912924) q[0];
rz(2.613969398650175) q[0];
rx(-3.0749117847361034) q[1];
rz(1.1462184007162586) q[1];
rx(-0.1045535394405201) q[2];
rz(1.6117423336837398) q[2];
rx(-0.08198241755586314) q[3];
rz(1.583885894343755) q[3];
rx(0.010253520049592181) 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] 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",
"IIIIIIZIZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIZIIIZIII",
"ZIIIIZIIII",
"IIZIIZIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"IZIIIIIZII",
"IZIIIIZIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"ZIIIIIIIII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
0.75,
-0.25,
0,
-0.25,
1,
0.75,
0
] | 0.978902 | [
0.2603210410912924,
1.0431730718552787,
3.2082735224434833,
-0.4245779260786377,
-0.1045535394405201,
0.040946006888843034,
-0.08198241755586314,
0.013089567548859267,
0.01025352004959218,
1.2657189433373381,
1.6466508471746353,
-0.048173131468048525,
3.1215777176580772,
0.1513947099649320... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
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