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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ede4c031814d4282edbbb882f9d80bed | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [936, 1023], "expectation_value": -15.309193129284923, "params": null, "bitstrings": ["0001010111", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.0597401424314128, 0.2816341427482275], "optimization_time": 264.81231117248535} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + -3.0 * (Z(7) @ Z(4)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.002210067941323673) q[0];
h q[1];
ry(0.7815650216949308) q[1];
h q[2];
h q[3];
ry(0.5803954820692692) q[3];
h q[4];
ry(0.824422849627887) q[4];
h q[5];
h q[6];
ry(0.7601173351530646) q[6];
h q[7];
ry(0.30558001113885763) q[7];
cx q[5], q[7];
ry(-0.30558001... | null | {"node": 7} | {"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[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] = measu... | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZIIIZIIIII"... | [
-1.5,
-1.5,
0.5,
-3,
1.5,
-3,
-2.5,
-3,
-3,
0.5,
-2.5,
-2.5,
1,
-3,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.965911 | [
0.6111600222777153,
1.5202346703061291,
-1.0326686193115056,
2.6289052186867083,
1.648845699255774,
1.1607909641385383,
-0.04458673080809596,
-0.08794627255969704,
-0.028609753218626435,
0.07856473153227025,
1.9564808097401407,
-1.6467412831173918,
0.029791338870897015,
0.6347489114547886,... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
299d787a74f99e62ffab217c63ae883b | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [230, 118], "expectation_value": -41.42587246767627, "params": null, "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 100, "probabilities": [0.2790712799448639, 0.35511081668622885], "optimization_time": 154.15690326690674} | 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 15.0 * Z(3) + 13.5 * Z(2) + 7.0 * Z(0) + 16.5 * Z(1) + 4.5 * Z(4) + 5.0 * Z(5) + 9.5 * Z(6) + 3.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 124.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-1.5318335079287495) q[0];
rz(-pi) q[0];
h q[1];
ry(38.66427475368442) q[1];
ry(-0.42016611955936695) q[2];
rz(-pi) q[2];
h q[3];
ry(1.8573385037833736) q[3];
rz(-pi) q[4];
ry(-0.8069269378406911) q[4];
ry(-1.5220527253899234) q[5];
rz(-pi) q[5];
cx q[3], q[5];
ry(-0... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"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(38.6317) 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... | [
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIIZZI",
"IIIIIIZZ",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
15,
13.5,
7,
16.5,
4.5,
5,
9.5,
3
] | 0.97797 | [
38.66427475368442,
1.8573385037833736,
4.595545542478353,
3.7912764854491434,
6.156383487319838,
0.15611643690955093,
0.13739249197171738,
-8.509752040200786,
62.82017936949426,
1.5396837381929476,
10.288457604491319,
11.102862993521487,
1.3876001279902421,
-52.8654378827978,
-63.7316484... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -65,
"target_ratio": 0.97,
"target_value": -63.05
} | 34 |
d255f243d36c9a74978598fd3f1ae2aa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -16.402749221068447, "params": [0.0004, -0.1406, -0.0017000000000000001, -0.13870000000000002, 0.004200000000000001, -0.1408, 0.0056, -0.1109, 0.0027, -0.153, 0.0018000000000000002, -0.1469, 0.0066, -0.099, -0.0026000000000000003, -0.1491, 0.0036000000000000003, -0.13520000000000... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 23.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.0015797083872811958) 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(0.0015797083872811958) q[6];
cx q[2], q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(0.9191343808234266) q[1];
cx q[2], q[1];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IIZIZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIZIIZIII",
"IIIIZZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIIZIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIZIIIIII",
"... | [
-1.25,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-1.25,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
3,
-1,
-0.75,
-1,
-1.25,
2.5,
-0.25,
-2.75,
1.75,
-0.25,
-4.5,
1.5,
2.5,
-0.5
] | 0.966391 | [
0.0015797083872811958,
0.07444851338433524,
0.03178757882166383,
0.9191343808234266,
0.046583013805105114,
-0.6239256600860845,
-0.18609342583049215,
0.006772467483078026,
0.9753874413480804,
0.8080312418198444,
0.7786613312674362,
1.4362060176962061,
0.06557371914701193,
0.307507060029793... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 500 |
2783967b1611213b3e7795654a08824b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [69, 26], "expectation_value": -0.983137676947682, "params": [[0.0734, 0.07830000000000001, 0.07010000000000001], [-0.061700000000000005, -0.0736, -0.061000000000000006]], "bitstrings": ["0111010", "1100101"], "total_optimization_steps": 10, "probabilities": [0.014680091282337897, 0.015308807576034457], "opt... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(2) + 0.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "0111010", "0001111", "1110100", "1100101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.4476455626952967) q[0];
h q[1];
ry(1.4476455626952967) q[1];
h q[2];
ry(-0.059126059586819345) q[3];
rz(-pi) q[3];
cx q[1], q[3];
ry(0.09486143994178287) q[3];
cx q[1], q[3];
ry(0.008187482699304706) q[3];
h q[4];
ry(-1.6038831393838435) q[4];
ry(-0.0591260... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"IIIZIZI",
"IZIIIZI",
"IIZZIII",
"IZZIIII",
"IIZIIZI",
"IIZIZII",
"ZIIIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1.5,
-0.5,
0
] | 0.996122 | [
-1.6038831393838435,
-1.4168088272662944,
1.4476455626952967,
-1.1273306452707597,
0.7286646700863632,
-0.18972287988356573,
-0.36076103541921345,
0.3420029579089602,
-0.42645300423253624,
0.2659988647826904,
-0.04303709360162987,
0.09904893961194784,
0.1611605001101052,
0.1474386520393811... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
349470e51b3762ef23fcf6a851dc8e1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [183, 236], "expectation_value": -32.30168716450327, "params": null, "bitstrings": ["101001000", "100010011"], "total_optimization_steps": 100, "probabilities": [0.0750201672319876, 0.1277175651009538], "optimization_time": 181.95014429092407} | 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(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-1.187618942044145) q[0];
rz(-pi) q[0];
ry(-1.7599687068313097) q[1];
rz(-pi) q[1];
ry(-2.7040617186935703) q[2];
rz(-pi) q[2];
ry(-0.10990882509845053) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-10.643298077408872) q[5];
cx q[5], q[2];
ry(3.008064639452315) q[2];
cx q[... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-13.4106) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17.5,
6,
19,
16,
15,
3,
20.5,
4,
5.5
] | 0.970937 | [
-13.288635788926834,
16.707700645710162,
11.485587843730611,
-0.9038899663022613,
-10.643298077408872,
-6.01612927890463,
20.480329132293395,
27.318865921395695,
62.90566641834019,
13.936401089901285,
5.513059194653318,
-12.449127416427855,
36.78513038048737,
24.77404810964382,
0.0121719... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 100 |
884c33f1fbfdb3489190b99b10954c8f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capac... | {"states": [512, 1], "expectation_value": -2.695942893607018, "params": [[-0.0849], [0.0761]], "bitstrings": ["0111111111", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0024115955576918357, 0.0024368304167137005], "optimization_time": 3.8356547355651855} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-26.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.050073210182787306) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.06324935241630691) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.011553066943631517) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.011553066943631517) q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIZIIIIZI",
"IIIZIIIIIZ",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZZIIIIIIII"... | [
-0.5,
-1,
-0.75,
-0.75,
-1.5,
-2.25,
-0.75,
-1,
-1.25,
-1,
-1.5,
-0.75,
-1.5,
-0.5,
-0.75,
-1.25,
-1.25,
3.25,
-0.5,
-0.75,
-1.25,
-1.25,
-1.5,
-2.25,
-0.75,
-1.5,
-2,
-0.25,
0.75,
-3.25,
-0.25,
0,
3,
1.5,
0.5,
0
] | 0.975481 | [
0.050073210182787306,
-0.06324935241630691,
-0.011553066943631517,
0.017430541594316385,
0.0209721554660499,
-0.06141576819310688,
-0.17847316766339205,
1.5086296337133094,
1.7141328167999783,
1.4455882355296337,
1.6917884335428837,
1.405522782215535,
1.644569268937441,
1.4225942230242805,... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -26.75,
"target_ratio": 0.97,
"target_value": -25.947499999999998
} | 160 |
ced6c703f6fc42ad993c62457521a8a6 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [3, 1], "expectation_value": -9.749974732289836, "params": null, "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 21, "probabilities": [1.2643738898933471e-05, 0.9999747325766285], "optimization_time": 22.036134719848633} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.019257244790662688) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.7877168041877103) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.019257244790662688) q[2];
cx q[0], q[2];
rz(0.4711390611845201) q[2];
rx(1.6286054759878306) q[2];
h q[3];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.5,
2,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
0,
0,
-0.25,
1.75
] | 0.915875 | [
0.019257244790662688,
0.7877168041877103,
0.4711390611845201,
-0.07346987499868925,
0.8629803409167578,
-0.5184398952558648,
1.6286054759878306,
0.06686996022923065,
1.0861776397855343,
0.7850543096022358,
-0.14646282643499497,
-1.831074504387705,
1.075806303014285
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 298 |
d8c959a00da600e8fbae4f9fb196848f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [470, 342], "expectation_value": -1.615298010972569, "params": [1.8041, 0.0012000000000000001, 1.5346, 0.0014, 1.8062, 0.0013000000000000002, 0.7945, 0.008700000000000001, 1.8089000000000002, 0.0091, 0.3398, 0.0046, 1.8069000000000002, 0.0021000000000000003, 1.8137, 0.0031000000000000003, 0.00260000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.06... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["010101001", "100101001", "110001001", "010011001", "001101001"], "largest_eigenvalue": 6.4375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(3.1087166777863207) q[0];
rz(-0.892128208735353) q[0];
rx(-0.10555253505080193) q[1];
rz(-2.1505013782365814) q[1];
cx q[1], q[0];
rz(0.6073105656048865) q[0];
cx q[1], q[0];
rz(-0.29781569235553773) q[1];
rx(2.9616223761668268) q[2];
rz(-1.0732261310631799) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIIIZIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"IZIIZIIII",
"ZIIIZIIII",
"IZZIIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
... | 0.983245 | [
3.1087166777863207,
-0.28481764313046676,
-0.10555253505080193,
-2.1505013782365814,
2.9616223761668268,
-0.7288634899619624,
-0.10273246688609211,
-0.4938466676659305,
2.9359389274210392,
-1.2632034020581857,
-0.040063572556002694,
-0.6586718011990842,
3.185777050476411,
-0.72137408456910... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 30 |
117cc86dfc92fbe86e0eefba6d19753d | 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": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [409, 155], "expectation_value": -9.026022112538262, "params": [[0.0341, -0.0354], [-0.050300000000000004, 0.0028]], "bitstrings": ["001100110", "101100100"], "total_optimization_steps": 10, "probabilities": [0.0032822187678363916, 0.0033719566660277943], "optimization_time": 3.4586188793182373} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(0)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 16.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["101100100"], "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(0.026311553784696157) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.026311553784696157) q[2];
cx q[1], q[2];
rz(2.6311740994376827) q[3];
ry(0.19854959497256572) q[3];
rz(-0.9922491872866486) q[3];
h q[4];
cx q[1], q[4];
rz(0.0263115... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIZIIII",
"IIIZIIZII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
16.5,
8,
8.5,
24.5,
1,
16,
18,
13,
-7
] | 0.975381 | [
0.026311553784696157,
1.3509876741146294,
-1.4191980976439431,
-0.7566726224442105,
1.3599290567305895,
-1.3423908020761368,
1.3970128118803855,
1.3602744363286823,
1.795292266558011,
-1.4592221142401265,
-1.6271949475264094,
-0.5657170052464363,
-2.082308792640308,
0.12689199285940442,
... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 80 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [0, 15], "expectation_value": -0.4062905231486735, "params": [[0.2059, 0.2039, 0.20500000000000002, 0.2059, -0.038], [0.18330000000000002, 0.2001, 0.076, 0.2059, 0.1915], [0.030000000000000002, 0.2031, 0.021, 0.2059, -0.1067], [0.1889, 0.2011, -0.0916, 0.20400000000000001, 0.18730000000000002]], "bitstrings"... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 9 | 5 | 4 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) 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": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
d742f18d9d61b691ec5b2dbe8d1ae52d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 5}, {"weight": 19, "source": 1, "ta... | {"states": [492, 236], "expectation_value": -66.03215080627905, "params": [0.7738, 0.4297, 1.5867, 0.0077, 1.5802, -0.0008, 1.5848, -0.1559, 0.5738, -0.5025000000000001, 1.5863, -0.0018000000000000002, 1.5887, 0.2681, 0.5828, 0.44260000000000005, -0.0051, -0.7965, 0.782, 0.0027, 1.5819, 0.0086, 1.5843, 0.00960000000000... | 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(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 10.5 * Z(1) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 158.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.17395330551120458) q[0];
rz(0.6431646181740795) q[0];
rx(1.6954688567067546) q[1];
rz(-0.028620454418304114) q[1];
rx(1.5403158318592238) q[2];
rz(0.023881487221566803) q[2];
rx(1.5635728311765713) q[3];
rz(-0.27303456014271554) q[3];
rx(0.2823681779893861) 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",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIZIIZII",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10.5,
9.5,
20.5,
9.5,
17,
5,
14.5,
10,
-1
] | 0.976931 | [
0.17395330551120458,
0.31144105261471694,
1.6954688567067546,
-0.028620454418304114,
1.5403158318592238,
0.023881487221566803,
1.5635728311765713,
-0.27303456014271554,
0.2823681779893861,
-0.3016098009609442,
1.5244076922853529,
-0.07739591827432267,
1.456717966923092,
0.13818020010777404... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -75.5,
"target_ratio": 0.97,
"target_value": -73.235
} | 14 |
06ec716f7c6c63b1aba8eac15fa44d26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [64, 63], "expectation_value": -2.34284565304782, "params": [[-0.06520000000000001, -0.0659, -0.07250000000000001, -0.0641], [0.0716, 0.0695, 0.0731, 0.0699]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.031784940782001996, 0.03231152685755388], "optimization_tim... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -0.5 * Z(1) + 0.5 * Z(2) + -1.0 *... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.14662944682209153) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.03207041332105976) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.004657991275908549) q[2];
cx q[5], q[2];
cx q[1], q[2];
rz(0.14662944682209153) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IZIIIIZ",
"IZIIIZI",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-0.25,
-0.75,
-0.25,
-1.25,
-0.75,
-0.5,
0.5,
-0.5,
1,
-0.25,
-0.5,
0.5,
-1,
0.75,
-0.5
] | 0.946282 | [
0.14662944682209153,
0.03207041332105976,
-0.004657991275908549,
-0.06255413879699266,
-0.11688910112479409,
-1.1040750932319774,
-1.0882832930196775,
-1.1385645611061024,
-1.0610330425854635,
1.4322711339057295,
0.5063761691342662,
0.28481786844050344,
0.26423677171838056,
-0.262978351077... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 500 |
260199056bf24e790c752c35dad99b5d | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [1000, 1002], "expectation_value": -4.206510989509787, "params": [[[0.0027, 1.5757], [1.5661, -0.0022], [1.5687, -0.0027], [1.5717, 0.0022], [1.5706, -0.0021000000000000003], [1.5726, 0.0032], [-0.0166, 1.092], [1.5750000000000002, 0.0019], [0.0028, -1.2803], [0.8057000000000001, -0.0028], [0.0023, 1.2759]],... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.6875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6875, "smallest_bitstrings": ["10000010101"], "largest_eigenvalue": 7.3125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(2.3516104475878574) q[0];
ry(0.04286422847147218) q[0];
rz(-0.8329543313567669) q[0];
rz(2.552486536323224) q[1];
ry(2.835818162504856) q[1];
rz(-0.3803233499034988) q[1];
rz(-1.9828897759860284) q[2];
ry(3.076875861757714) q[2];
rz(1.3774698747090621) q[2];
rz(0.90... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIZIIZI",
"IIIIIIIZZII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIZIIZZ",
"IIIIIIIZZIZ",
"IIIIIIZIZIZ",
"IIIIIIZZIIZ",
"IIIIIIIZZZI",
"IIIIIIZIZZI",
"IIIIIIZZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.976869 | [
0.030167062178698537,
1.5611731668239042,
1.4529285264635556,
0.2533561281842877,
1.6706523460267988,
0.025927017275140907,
1.2837184968834183,
-0.11716476706737156,
1.7006189550118744,
-0.03742821632495109,
1.507401911966693,
0.06254552693151359,
0.04879591467683274,
0.882504036829359,
... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -4.6875,
"target_ratio": 0.97,
"target_value": -4.546875
} | 12 |
ff4d8612be902cee01cbb69055101657 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [41, 44], "expectation_value": -2.1731243328606635, "params": [[0.1617, 0.1491, 0.15030000000000002, 0.1585], [-0.1779, -0.15660000000000002, -0.14800000000000002, -0.1421]], "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.06821459943252015, 0.08064741226485009], "opti... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(-0.004484549636475071) q[0];
cx q[4], q[0];
rz(0.7328109886623113) q[0];
rx(-0.8007113399707768) q[0];
cx q[4], q[1];
rz(-0.004484549636475071) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.004484549636475071) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIZ",
"IZIIZI",
"IIZIZI",
"ZZIIII",
"ZIIIZI",
"ZIZIII",
"IZIZII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-0.5,
-1,
0
] | 0.988988 | [
-0.004484549636475071,
-1.0690450112060856,
0.7328109886623114,
-1.0758900725224467,
0.8535075540902197,
-0.8007113399707768,
0.07221895186456898,
-0.520197576338447,
-0.671789822082748,
0.6519376481542358,
-0.8638708047021346,
0.2718423097134407,
-0.8220673049085121,
-0.492579786025785,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 32 |
54167b50cde5b0a7a697521ad53083fa | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"sour... | {"states": [63, 255], "expectation_value": -0.005659091515902714, "params": [[-0.0122], [0.0029000000000000002]], "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 10, "probabilities": [0.003918009461841344, 0.003918009461841344], "optimization_time": 1.9121439456939697} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.0, "smallest_bitstrings": ["00000000", "11000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.6365620755400754) q[0];
cx q[1], q[0];
rz(1.6370575036335282) q[0];
rx(1.6266478510850464) q[0];
rz(2.219544608246613) q[1];
rx(1.6266478510850466) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(1.5708138695970826) q[2];
cx q[3], q[2];
h q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"IIIZZIII",
"IIIZIZII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-1.5,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.777633 | [
1.6365620755400754,
1.5708138695970826,
1.5742829854598857,
2.2195446082466135,
1.6370575036335286,
1.6266478510850464
] | {
"n_parameters": 6,
"n_qubits": 8,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 181 |
-3228836779332427841 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [1, 2, 7], [1, 3, 6], [0, 6], [5, 6, 7], [0, 5, 7], [2, 3], [1, 3, 5], [0, 2, 7], [0, 4], [1, 6, 7], [2, 4], [4, 6], [3, 5, 6], [1, 3, 7], [0, 1, 3], [4, 5, 7]]} | {"states": [27, 230], "expectation_value": -0.07610199546341523, "params": [[-0.0379], [0.044000000000000004]], "bitstrings": ["11100100", "00011001"], "total_optimization_steps": 10, "probabilities": [0.0041127249594450875, 0.0041399948064730786], "optimization_time": 3.043503522872925} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.3333333333333333 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["00011001"], "largest_eigenvalue": 13.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(-0.4852155148044659) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.4852155148044659) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(0.20081367385419346) q[2];
cx q[1], q[2];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.200813... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[1];
rz(x0) q[1];
cx q[4],... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIIZIZII",
"IIIIIZZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIZIIII",
"IZIIIIZI",
"ZZIIIIII",
"IZIIZIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIZIZII... | [
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.6666666666666666,
0.5,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,... | 0.526226 | [
-0.4852155148044659,
0.20081367385419346,
-0.18096710488561618,
-0.6995528060458484,
-0.3278998752526549,
-0.7982972753296828,
-0.5779683570164719,
0.8706766574453282
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -4.999999999999999,
"target_ratio": 0.97,
"target_value": -4.849999999999999
} | 210 |
2e423764229d08a5a3928f9705b0d85f | 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": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [3299, 3315], "expectation_value": -4.5417820287374475, "params": [[[1.0426, 0.0018000000000000002], [1.0489, 0.002], [-0.0048000000000000004, -0.8681000000000001], [-0.0177, -0.7424000000000001], [1.0422, -0.0017000000000000001], [1.0491000000000001, 0.0035], [1.0418, 0.0018000000000000002], [0.554900000000... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 1 | 12 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["001001011000", "001100001100"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(2.1774452828216084) q[0];
ry(2.963758965632235) q[0];
rz(-1.0334534400995703) q[0];
rz(-0.77804360645509) q[1];
ry(3.0013260182626893) q[1];
rz(2.4833427043151852) q[1];
rz(-2.4640152833819355) q[2];
ry(0.13595862232236006) q[2];
rz(0.7031081401158721) q[2];
rz(1.05... | 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",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIZIIZIIZ",
"IIIIIIZZI... | [
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125... | 0.981721 | [
1.0104277758953224,
0.05612643024396481,
1.080332119285516,
-0.058157847886468106,
-0.12249175419145764,
-0.9432693256687394,
0.11343627997730751,
-0.45945901503384917,
1.0548103590495246,
-0.057830777621598745,
1.1947565974410974,
-0.0866319912860683,
0.9099019992249974,
0.804355000651069... | {
"n_parameters": 60,
"n_qubits": 12,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 9 |
1434096e59219230a9a448bfa214dbb8 | 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": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [32, 31], "expectation_value": -0.16206650420708105, "params": [[-0.0458, -0.0206], [0.059300000000000005, 0.0426]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017993344290489932, 0.01840619662919741], "optimization_time": 1.8343768119812012} | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 2.75} | 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];
cx q[5], q[0];
rz(0.2564198566378726) q[0];
cx q[5], q[0];
rz(-0.3146460561418274) q[0];
rx(-1.6223542204331562) q[0];
cx q[5], q[3];
rz(-0.31464605614182717) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(-0.11063528912386725) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIZZII",
"IZZIII",
"IZIZII",
"ZIIIII",
"IIIIIZ",
"IIZIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.25,
-0.25,
-0.5,
-1.25,
-1,
-0.5,
0,
-0.25,
0,
0.5,
-0.75,
0.5
] | 0.970556 | [
0.2564198566378726,
-0.31464605614182717,
-0.11063528912386725,
-0.22235587717504138,
0.043180038727850936,
0.9834780824833873,
0.5361200627626684,
0.807027611931993,
-1.6223542204331562,
0.5313479849503246,
-0.6614372268591644,
-0.18109175624279295,
-0.5344228021086342,
0.0592722986641893... | {
"n_parameters": 25,
"n_qubits": 6,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 114 |
72ec18873d3dc55875c8efef46485470 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [23, 31], "expectation_value": -7.754560702134296, "params": null, "bitstrings": ["101000", "100000"], "total_optimization_steps": 61, "probabilities": [0.09911762242074067, 0.6587799551517071], "optimization_time": 64.6058394908905} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(0.6718764267967782) q[1];
h q[2];
h q[3];
ry(0.6718764267967782) q[3];
cx q[2], q[3];
ry(-0.6718764267967782) q[3];
cx q[2], q[3];
ry(1.5535753734037667) q[2];
cx q[2], q[1];
ry(-0.6718764267967782) q[1];
cx q[2], q[1];
ry(0.8533483681362799) q[3];
h ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... | [
"IIZIIZ",
"IZIIIZ",
"IIZIZI",
"IZIIZI",
"IIZZII",
"IZIZII",
"IIIZZI",
"ZIZIII",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"ZIIIII"
] | [
-1.25,
-0.75,
-1,
-1.25,
-2.5,
-2.25,
-1,
-1.25,
2.25,
-1,
1,
-0.25,
-1.25,
-0.25,
0.75,
0
] | 0.97048 | [
1.3437528535935563,
1.5535753734037667,
0.8533483681362799,
-0.9362082007339845,
0.4623959360555589,
0.35436786059694586,
0.04302867212514143,
0.0500982270858599,
-1.6453394811112914,
-0.9180761020979388,
-1.558383651126498,
1.0819988838696692,
1.0170011116603797,
-0.25552214888759683,
-... | {
"n_parameters": 32,
"n_qubits": 6,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 108 |
0df4df25c74ca38eb293288a64f6d090 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [95, 93], "expectation_value": -56.85921010665052, "params": [0.0026000000000000003, 0.671, 0.9954000000000001, 0.09280000000000001, 0.4869, 0.2099, 0.9880000000000001, -0.0189, 0.9989, -0.0046, 0.9943000000000001, 0.058, 0.5073, 0.2963, 0.9863000000000001, -0.0005, 0.0036000000000000003, 0.6573, 0.9986, 0.0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) + -3.0 * Z(0) + 9.0 * Z(2) + 16.0 * Z(3) + 1... | 18 | 8 | 3 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.13472719791426957) q[0];
rz(0.7621816108220933) q[0];
rx(0.9797023371778154) q[1];
rz(-0.03741898136041918) q[1];
rx(0.2553948032372724) q[2];
rz(0.2997483345010804) q[2];
rx(0.98149266171691) q[3];
rz(0.021241621987064273) q[3];
rx(0.98018860069722) q[4];
rz(-0.03... | 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",
"IIIIZIZI",
"IIIIZZII",
"IIIZIZII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
-3,
9,
16,
11,
17.5,
4.5,
14
] | 0.976159 | [
0.13472719791426957,
0.8849967245068193,
0.9797023371778154,
-0.03741898136041918,
0.2553948032372724,
0.2997483345010804,
0.98149266171691,
0.021241621987064273,
0.98018860069722,
-0.037920716797769566,
0.9975135743893738,
-0.1428992541318086,
0.34355392559505205,
0.18303063785957543,
1... | {
"n_parameters": 70,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 8 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -1.061395672720194, "params": [[0.0692], [-0.0748]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006132854403534509, 0.006323480758101623], "optimization_time": 2.0461008548736572} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
5fcc80649738bc6ebb5e6ed34bbe4c7e | 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": [235, 218], "expectation_value": -13.198390962280724, "params": [[0.0364, -0.042], [-0.07050000000000001, -0.006]], "bitstrings": ["100010100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0038591588711526462, 0.004286869862559423], "optimization_time": 6.668429136276245} | 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(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 191.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(0.010140391540180461) q[1];
cx q[0], q[1];
h q[2];
cx q[0], q[2];
rz(0.010140391540180461) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.010140391540180461) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(0.010140391540180461) 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": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIIIZZII",
"IIIZIIIIZ",
"IIIZIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
9.5,
19,
20.5,
19,
5,
16,
0.5,
22.5,
7
] | 0.970303 | [
0.010140391540180461,
-0.8817694782888895,
1.3155263900677148,
1.4508759433310259,
-0.8101524928797088,
1.3137525011632658,
-1.6824904086684709,
1.3585931394344348,
-1.481841102148397,
-1.6431853813891013,
0.03533870379598659,
-0.15660633617743086,
-1.9455151141205964,
-0.885918599559516,
... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -93,
"target_ratio": 0.97,
"target_value": -90.21
} | 76 |
09fb76abbd16e0a247c5e051a4b2c213 | 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": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [511, 507], "expectation_value": -16.489900428239427, "params": [[[-0.6904, 2.4989], [0.0029000000000000002, 0.6289], [-0.0025, -0.0029000000000000002], [-0.0029000000000000002, -0.0029000000000000002], [-0.0022, -0.0024000000000000002], [-0.0022, 0.0021000000000000003], [1.6048, 0.7544000000000001], [0.0027... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -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(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 15 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000100"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.10105690138413462) q[0];
ry(0.057681567167016765) q[1];
ry(0.019346855862882352) q[2];
ry(0.0739592445580661) q[3];
ry(0.03190870371717221) q[4];
ry(0.03190870371717221) q[5];
ry(1.8415336921861332) q[6];
ry(-0.16931423208668084) q[7];
ry(0.10605870881276519) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZIIZII",
"IIIZZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
-1,
-2,
-2,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970085 | [
-0.10105690138413462,
0.057681567167016765,
0.019346855862882352,
0.0739592445580661,
0.03190870371717221,
1.8415336921861332,
-0.16931423208668084,
0.10605870881276519,
3.01745888026248,
-0.04646426762316009,
0.022778981966732927,
0.022951155271462777,
0.4615522964410554,
0.38846723752847... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -18.5,
"target_ratio": 0.97,
"target_value": -17.945
} | 20 |
b2987b745cb916df3f5a63553d1bb231 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [472, 984], "expectation_value": -8.443417269271935, "params": null, "bitstrings": ["11000100111", "10000100111"], "total_optimization_steps": 93, "probabilities": [0.1901059049618924, 0.5178144530445998], "optimization_time": 220.65390276908875} | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 1 | 11 | 3 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000100111", "01000101011", "10000101011", "10000100111"], "largest_eigenvalue": 22.333333333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.42489732038415) q[0];
h q[1];
cx q[1], q[0];
ry(0.42489732038415) q[0];
cx q[1], q[0];
ry(-0.181574895014258) q[0];
ry(0.22365458351727543) q[1];
h q[2];
h q[3];
ry(1.5129755350558685) q[3];
h q[4];
ry(1.5129755350558685) q[4];
h q[5];
ry(-0.6828907176516... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... | [
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIIIIIZZ",
"ZIIIZIIIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIZIIZII",
"IZIIIIZIIII",
"IZIIIIIZIII",
"IZIIIZIIIII",
"IZIIZIIII... | [
1,
0.5,
0.5,
-0.5,
-0.5,
0.33333333333333337,
-1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
2.5,
2.5,
1,
0.16666666666666674,
0.16666666666666674,
1.5,
-1.5,
1,
1,
1.3333333333333335,
-1
] | 0.975182 | [
1.5129755350558685,
1.2940641662349193,
-1.4434681259045128,
-1.365781435303222,
-1.0381781223982296,
-0.9460806634509542,
-1.3563210276497097,
0.4232448186560208,
-0.8497946407683,
0.6077418778647552,
-0.5785294489967114,
0.7760594618815354,
-0.017943551017564507,
-0.363149790028516,
-0... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -8.666666666666668,
"target_ratio": 0.97,
"target_value": -8.406666666666668
} | 1 |
04f1d00268f6b83fbe2259c0afbf7dbe | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [156, 172], "expectation_value": -5.207991165441735, "params": [0.4031, 0.0004, 0.4071, 0.0004, -0.0176, 0.22340000000000002, -0.013900000000000001, 0.2262, 0.34950000000000003, 0.1835, 0.326, 0.1938, 0.3236, 0.20800000000000002, 0.28900000000000003, 0.20950000000000002, 0.4051, -0.0014, 0.40290000000000004,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(5) + ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100011", "01010011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.34070000662179817) q[0];
rz(-0.40952533045221795) q[0];
rx(-0.08068357799609757) q[1];
rz(-0.12676775463247192) q[1];
cx q[1], q[0];
rz(0.21419954060214697) q[0];
cx q[1], q[0];
rz(1.4414946278257679) q[0];
ry(1.4631845193719704) q[0];
rz(-1.5062096468474082) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IZIIIIIZ",
"IIZIIIZI",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIZIIIII",
"IZIIIZII",
"ZIIIIZII",
"ZIIIZIII",
"IIIIZZII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-2,
-1,
-0.5,
0
] | 0.971042 | [
0.34070000662179817,
-0.1953257898500707,
-0.08068357799609757,
-0.12676775463247192,
0.40276783526507565,
0.34877715306444096,
0.1583529490817996,
-0.03789282527051764,
0.8311178636188293,
-0.006631160507605649,
0.3386247718355322,
-0.28955932605623436,
-0.046726099212267794,
0.1465778048... | {
"n_parameters": 111,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 29 |
fc2a0aab6aa71710f421b73642e2514f | 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": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [143, 399], "expectation_value": -3.1880920973603004, "params": [0.5054000000000001, -0.027100000000000003, 0.7226, 0.030000000000000002, 0.0388, 0.5373, 0.0028, 0.7159, -0.001, 0.3548, 0.7903, 0.1511, 0.7872, -0.001, 0.7582, 0.0436, 0.7801, 0.0082, 0.4889, -0.0244, 0.8526, -0.0028, 0.036500000000000005, 0.5... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 16 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZIZI",
"IZIIIZIZI",
"IZZIIIIZI",
"IZZIIZIII",
"IZZIIZIZI",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0.125,... | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [60, 28], "expectation_value": -9.327800962741387, "params": [0.0025, 0.006200000000000001, 0.0026000000000000003, 0.003, 0.0025, 0.0027, 0.0025, 0.0081, 1.4773, 0.0039000000000000003, 1.7605000000000002, 0.0034000000000000002, 2.9957000000000003, 0.0037, 3.0032, 0.0014, 0.002, 0.0047, 0.002, 0.0052000000000... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"], "largest_eigenvalue": 26.666666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.008562219394374999) q[0];
rz(-0.18065508670005936) q[0];
rx(-0.0028228946995007883) q[1];
rz(-0.28081080015860127) q[1];
rx(0.008562219394374997) q[2];
rz(0.009275911461020393) q[2];
rx(0.008562219394374997) q[3];
rz(0.16646644706220792) q[3];
rx(0.440647895616474... | 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": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII"... | [
-0.5,
-1,
0.6666666666666667,
0.5,
-0.5,
-1,
-0.5,
0.5,
-0.5,
0.5,
1,
-0.5,
0.5,
0.5,
-1,
1,
1,
1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-2.5,
1.1102230246251565e-16,
2.220446049250313e-16,
0,
2.5,
2.5,
2,
4,
-0.5,
-0.5
] | 0.979582 | [
0.008562219394374997,
-0.15097596248673917,
-0.0028228946995007883,
-0.28081080015860127,
0.009275911461020393,
0.16646644706220792,
0.4406478956164749,
-0.09140447979676149,
2.665613078940768,
-0.11848032829119896,
3.109469190815953,
0.2534456444784792,
3.2595205084667747,
-0.077611468584... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -10.333333333333332,
"target_ratio": 0.97,
"target_value": -10.023333333333332
} | 11 |
0736b1161a5a600a3b5b1b2ae725bcb7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [1, 193], "expectation_value": -12.001085284107736, "params": null, "bitstrings": ["111111110", "100111110"], "total_optimization_steps": 48, "probabilities": [0.24863352149728243, 0.7512270183743586], "optimization_time": 81.90458083152771} | -0.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.25, -12.25, -12.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.25, "smallest_bitstrings": ["100000000", "100000100", "100111110"], "largest_eigenvalue": 12.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.028963033118374542) q[0];
h q[1];
ry(0.7523113712517789) q[1];
h q[2];
cx q[2], q[1];
ry(-0.7523113712517789) q[1];
cx q[2], q[1];
ry(0.5790360660699018) q[2];
cx q[1], q[2];
ry(-0.5790360660699018) q[2];
cx q[1], q[2];
ry(0.058438774015780535) q[1];... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIZIIZIII",
"IIIIIZIZI",
"IZIIIIIZI",
"IZIIIZIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIZZIIIII",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIZII",
"IIZIZIIII",
"IIIIZZIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.75,
-1,
-0.25,
-0.5,
-0.25,
-1,
1,
-0.75,
-0.75,
-0.5,
-0.25,
-1.25,
-1,
-0.75,
-0.75,
-0.5,
-1,
-1,
-2.25,
-0.25,
1.25,
-0.25,
-0.5,
0,
1.25,
-0.25,
1
] | 0.97806 | [
-1.573159116598947,
-1.526511268874567,
1.5964436306868186,
1.5046227425035579,
1.1580721321398035,
0.11687754803156107,
0.2275878535707746,
0.03924430621185428,
0.08743363444317828,
-0.1464961820774085
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -12.25,
"target_ratio": 0.97,
"target_value": -11.8825
} | 1 |
2131761915024304403 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [1, 2, 3], [1, 3, 5], [0, 2, 5], [2, 4, 5], [3, 4, 5], [0, 1, 2], [0, 2, 3]]} | {"states": [61, 53], "expectation_value": -1.3884050318890488, "params": [1.3823, 1.3767, 0.8785000000000001, 1.0819, 1.3905, 1.3752, 1.3915, 1.3905, 1.3972, 1.3929, 1.3943, 1.3911, 1.0570000000000002, 1.3886, 0.38280000000000003, 0.6147, 0.4863, 1.0212, -0.11120000000000001, 1.3895, -0.2285, 1.3762, -0.077400000000000... | 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) +... | 14 | 6 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["100110", "001010"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(1.6895418588436297) q[0];
rz(pi/2) q[0];
ry(1.028812502063132) q[1];
ry(1.4975008598241133) q[2];
ry(1.7373024518525102) q[3];
ry(1.3942522288183057) q[4];
ry(1.4729869627343364) q[5];
cx q[5], q[0];
ry(-0.11916467064479992) q[0];
cx q[5], q[0];
ry(0.1191646706447999... | 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": []} | [
"IZIIZI",
"IZIZII",
"IIIZZI",
"IZZIII",
"IIZIZI",
"IIZZII",
"ZZIIII",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"ZIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII",
"IIIIIZ"
] | [
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.33333333333333326,
0.5000000... | 0.974526 | [
1.6895418588436297,
1.028812502063132,
1.4975008598241133,
1.7373024518525102,
1.3942522288183057,
1.4729869627343364,
0.23832934128959984,
-0.28610590424913807,
-0.25984679563299184,
-0.13030214677433138,
1.0189349765361926,
0.13754418711455918,
1.5160750095883162,
2.2325184515955803,
1... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 29 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [13, 15], "expectation_value": -0.16769847064240864, "params": [[-0.0175, 0.0351, 0.061700000000000005, 0.0459], [0.0516, -0.0067, -0.0458, -0.0402]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.03619818223012078, 0.03723350572617], "optimization_time": 3.52969002723... | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 4.25} | 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(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
fcad3ee27a9289e4c26b3acbf9201b29 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [290, 292], "expectation_value": -7.538370979068235, "params": [[0.6017, -0.0261, -0.0264, 0.6048, 0.1255, -0.0251, 0.5824, 0.5894, -0.010400000000000001], [0.6087, -0.0115, -0.009600000000000001, 0.6059, 0.1839, -0.0058000000000000005, 0.6007, 0.5952000000000001, 0.0995], [0.5986, -0.016800000000000002, -0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) ... | 10 | 9 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -7.5, "smallest_bitstrings": ["001111101", "001111011", "011011101", "011011011", "110101110", "111010011"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.9880560371996787) q[0];
ry(-0.05217670981594809) q[1];
ry(-0.07793896022360187) q[2];
ry(0.5848480875664148) q[3];
ry(0.21698579272774074) q[4];
ry(0.06247283780538357) q[5];
ry(0.46054238476320586) q[6];
ry(0.8217463942459111) q[7];
ry(0.10235295384286897) q[8];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIIIZIII",
"IIIIIZIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIZIZIIII",
"IZIIIIZII",
"IZIZIIIII",
"ZZIIIIIII",
"IZIIZIIII",
"IZZIIIIII",
"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,
0.5,
0.5,
-2,
-1,
-2,
-2,
-2,
-1,
-2,
-1.5,
-2
] | 0.972755 | [
0.9880560371996787,
-0.05217670981594809,
-0.07793896022360187,
0.5848480875664148,
0.21698579272774074,
0.06247283780538357,
0.46054238476320586,
0.8217463942459111,
0.10235295384286897,
1.095595056555212,
0.08463678779237084,
-0.08308453862548384,
0.9482045640397414,
-0.03048447526144196... | {
"n_parameters": 26,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 8 |
fddd2f7fcbaecd11859e50f62fc62fde | 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": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [58, 59], "expectation_value": -5.00376883529463, "params": [[[0.0018000000000000002, 0.0095], [-0.0028, 0.0081], [0.002, 0.006500000000000001], [3.1475, 0.002], [3.1461, 0.0085], [3.1478, 0.0026000000000000003], [0.0022, 0.0083], [3.1449000000000003, 0.0051], [1.5784, 0.0086]]], "bitstrings": ["111000101", ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(8) + -1.5 * Z(1) + -1.0 * Z(6) + 0.0 * Z(7) + -0.5 * Z(2) + -0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111000100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.06621999336440819) q[0];
rz(0.247527593771675) q[0];
rx(0.030061209060273153) q[1];
rz(-0.02205061294257505) q[1];
rx(0.054606800130765694) q[2];
rz(-0.09886700779611982) q[2];
rx(3.1861071908450107) q[3];
rz(0.054606800130765694) q[3];
rx(3.195918305816335) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"ZIIIIIIIZ",
"IIIIZIIZI",
"ZIIIIIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"ZIIIIIZII",
"IIZIIZIII",
"IIIIIZZII",
"IIZZIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1.5,
-1,
0,
-0.5,
-0.5,
0
] | 0.974259 | [
-0.06621999336440819,
0.247527593771675,
0.030061209060273153,
-0.02205061294257505,
0.054606800130765694,
-0.09886700779611982,
3.1861071908450107,
3.195918305816335,
-0.012977575814872987,
3.203098337135006,
-0.39637010318259436,
-0.015007473375565121,
-0.34075587081332576,
3.18604148472... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 9 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [30, 15], "expectation_value": -1.2192852477923901, "params": [[-0.048400000000000006, -0.06470000000000001], [0.0521, 0.0627]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 10, "probabilities": [0.045327854534162305, 0.04708712231529136], "optimization_time": 1.9764270782470703} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
4ffbc852e1de75038cf19c57ac0e724b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [1022, 67], "expectation_value": -8.92080414051373, "params": [[0.22890000000000002], [-0.3556]], "bitstrings": ["0000000001", "1110111100"], "total_optimization_steps": 40, "probabilities": [0.026868616052593833, 0.026989264581007782], "optimization_time": 4.005126953125} | -1.0 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + 2.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(9)) + -1.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.75, -18.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.75, "smallest_bitstrings": ["1111111100", "1110111100"], "largest_eigenvalue": 16.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.38110927183069593) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.34639370612346093) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.38110927183069593) q[1];
cx q[2], q[1];
rz(-0.38110927183069593) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIIIZZI",
"IIIIIZIIZI",
"ZIIIIIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIZIIIZI",
"IZIIIZIIII",
"ZZIIIIIIII",
"IZIIIIIIZI",
"IIIIIIZZII",
"IIIIIZZIII",
"ZIIIIIZIII",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-1,
-0.75,
-1,
2.25,
-0.75,
-1,
-0.75,
-0.25,
-1.5,
-1,
-2,
-0.25,
-1,
-0.25,
-0.75,
-0.75,
-0.25,
-0.5,
-0.75,
-0.75,
-0.75,
-1,
-0.75,
-1.25,
-1.5,
-0.25,
0,
0,
0,
-0.25,
1.25,
1.25,
0.75,
-1.25
] | 0.531605 | [
-0.38110927183069593,
-0.34639370612346093,
1.042787673465713,
-0.13873834418374864,
-0.52945120965283,
-0.8977527590469898,
-0.4857962137786947,
-0.5960177484468508,
0.11390341773452939,
1.13162628735769,
0.10343104128979094,
-0.9383064521705546
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -18.75,
"target_ratio": 0.97,
"target_value": -18.1875
} | 226 |
ea4a93bee4e48b0d6ca857e85c4ec3f0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 3], "expectation_value": -35.05867857250464, "params": [0.0025, 0.0105, -0.0025, 0.007200000000000001, -0.0025, 0.012100000000000001, -0.0024000000000000002, 0.012100000000000001, -0.0025, 0.002, 0.0022, 0.9816, 0.21030000000000001, 0.0034000000000000002, 1.6364, 0.0089, -0.0011, 0.001, -0.0085, 0.0054, ... | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(0)) + -3.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(1)) + -2.... | 4 | 8 | 1 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["11111100"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.05499676029279343) q[0];
rz(1.6439617071610861) q[0];
rx(-0.04074962390921216) q[1];
rz(1.55425922992608) q[1];
rx(-0.04074962390921216) q[2];
rz(1.445967124845378) q[2];
rx(-0.008567072577523158) q[3];
rz(1.445967124845378) q[3];
rx(-0.04074962390921216) 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[... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIII... | [
-3,
-3.5,
-3.5,
-3.5,
1.5,
-3.5,
1.5,
0.5,
-3.5,
-3,
-3.5,
1,
-3.5,
1.5,
-2.5,
-1,
-2.5,
-2,
-3,
-2.5,
1.5,
1.5,
0.5,
0.5
] | 0.970749 | [
0.054996760292793434,
0.07316538036618989,
-0.04074962390921216,
-0.016537096868816645,
-0.12482920194951916,
-0.008567072577523156,
-0.10962672130508105,
-0.02885711566689845,
1.0350283986260091,
0.3642926405726907,
-0.16248186036595688,
1.5948082542142814,
0.01820725357974109,
2.90555184... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 1 |
d2601bbf36e7658df88520110518167a | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [61117, 59325], "expectation_value": -15.273555618327475, "params": null, "bitstrings": ["0001000101000010", "0001100001000010"], "total_optimization_steps": 100, "probabilities": [0.04222499524777605, 0.7004648347042954], "optimization_time": 1164.3997457027435} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-15.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999941, "smallest_bitstrings": ["0001100001000010"], "largest_eigenvalue": 55.99999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(1.6170527242996016) q[0];
h q[1];
ry(0.7805138677541621) q[1];
h q[2];
h q[3];
ry(-0.4322759362401726) q[3];
h q[4];
h q[5];
ry(1.6170527242996016) q[5];
h q[6];
ry(0.7805138677541621) q[6];
cx q[0], q[6];
ry(-0.7805138677541621) q[6];
cx q[0], q[6];
cx q[0]... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] 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];\nh q[14];\nh q[15];\nry(1.5708) q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[... | [
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIZIIII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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... | 0.970924 | [
1.6170527242996016,
1.5610277355083242,
-0.679222417946599,
1.0685797201107086,
-0.7139150329584052,
1.2551773451408712,
-0.8645518724803452,
1.1591405251708378,
-1.2079243771877828,
0.5130784379949134,
-0.5721670552309985,
0.3166512198214887,
-0.5898526595454422,
0.3774141208097306,
-0.... | {
"n_parameters": 46,
"n_qubits": 16,
"optimal_eigenvalue": -15.99999999999997,
"target_ratio": 0.97,
"target_value": -15.519999999999971
} | 6 |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3443, 3445], "expectation_value": -6.245388836691124, "params": null, "bitstrings": ["001010001100", "001010001010"], "total_optimization_steps": 100, "probabilities": [0.0570046881067329, 0.8149526781416564], "optimization_time": 292.00378799438477} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.12397642308111168) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.12397642308111168) q[0];
cx q[1], q[0];
rz(-1.0412824378997723) q[0];
rx(-0.6835570607299903) q[0];
rz(0.6551677416149957) q[1];
rx(-0.6835570607299903) q[1];
rz(-1.0... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\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];... | [
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIZZIIIIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIZIIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIZIIIIIII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"ZIIZIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.75,
0.75,
0.75,
1,
1,
1,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.983631 | [
0.12397642308111168,
-1.0412824378997723,
0.6551677416149958,
-0.6835570607299902,
0.023146836072959226,
-0.5048269617904716,
0.6814886991250588,
-0.7325852103426811,
0.006386053532258323,
-0.47655542685563346,
0.11597712833781966,
-0.2813397718212035
] | {
"n_parameters": 12,
"n_qubits": 3,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 255], "expectation_value": -0.18440857908928793, "params": [[0.0592, -0.041800000000000004], [-0.058100000000000006, -0.008400000000000001]], "bitstrings": ["110010000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002284300950818552, 0.002313201917989334], "optimization_time": 3.9... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010000", "100010000", "111011110", "100000000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3793360292258723) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5201896407098358) q[4];
cx q[1], q[4];
rz(-0.5201896407098361) q[4];
rx(-0.7670228702555436) q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(-0.37933... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
1.75,
-1,
-0.5,
0.75
] | 0.758041 | [
-0.3793360292258723,
-0.5201896407098358,
-0.38243772138101756,
0.3107532064049031,
-1.0193568042474141,
-0.10867563690290413,
1.2064359660083703,
-0.7234303447869407,
-0.7670228702555438,
0.8205618517798737,
0.9675232474993655,
0.5915471870437505,
-1.0311894401406954,
1.1821597172385196,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
a38675d53d722227ef740a74a5426a27 | 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": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [56, 42], "expectation_value": -3.9890656002488782, "params": null, "bitstrings": ["1000111", "1010101"], "total_optimization_steps": 31, "probabilities": [0.06023654324474458, 0.8645371698757657], "optimization_time": 37.57208251953125} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 1 | 7 | 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": ["1010110", "1000111", "0001111", "1010101", "0011101"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.5141994421129809) q[0];
h q[1];
ry(1.390141942064535) q[1];
h q[2];
ry(-0.5141994421129809) q[2];
h q[3];
cx q[3], q[0];
ry(0.5141994421129809) q[0];
cx q[3], q[0];
ry(-0.6573848412878611) q[0];
ry(1.0688525533137359) q[3];
h q[4];
ry(-1.560193965859156) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIIZI",
"ZIIIZII",
"IIZIZII",
"ZZIIIII",
"IZZIIII",
"IZIIZII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIZIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII"
] | [
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,
0,
-1,
-1
] | 0.99545 | [
-1.560193965859156,
-1.6256424106349383,
1.390141942064535,
-1.0283988842259617,
0.8351950134156189,
-0.46570245239628766,
0.4673150797962339,
-0.3833647777831469,
0.17942834723555207,
0.2603514411697678,
-0.015966545811498617,
-0.09901389533504207,
0.1486764616653704,
-0.04676080723319257... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
0850e29522f021e32579dc334d85e860 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -24.632753808502663, "params": [0.0178, -0.8439000000000001, 0.012700000000000001, -0.38020000000000004, -0.0026000000000000003, 1.5371000000000001, 1.0764, 0.2523, -0.0048000000000000004, 1.286, 0.0032, 0.3972, -0.007500000000000001, 0.39980000000000004, 0.004800000000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.25 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(6)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(6)) + -0.25 * (Z(9... | 16 | 12 | 4 | {"smallest_eigenvalues": [-25.5, -25.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -24.5, "smallest_bitstrings": ["111011110101", "111011110111"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.0356576728469645) q[0];
rz(2.1933690433154984) q[0];
rx(0.043305228017023314) q[1];
rz(-3.0135105459137863) q[1];
rx(0.04330522801702331) q[2];
rz(-2.792620041059708) q[2];
rx(-1.8649956747532443) q[3];
rz(1.34069012422564) q[3];
rx(-0.007285967940362541) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIIIIIIIZZI",
"IIIIIZIIIZII",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"ZIZIIIIIIIII",
"IZIIIZIIIIII",
"IZIIIIIII... | [
-1.5,
-1.5,
-0.75,
-1.25,
-1,
-0.5,
-1.25,
-0.25,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-1,
-1.5,
-0.75,
-1.25,
-0.5,
-1.25,
-1.5,
-0.5,
-1,
-0.5,
-1,
1.75,
-0.25,
-1.5,
3.5,
-0.25,
-1.5,
-1,
2.5,
-2.5,
-3.5,
-2.75,
-1,
2.5,
4,
0
] | 0.97121 | [
0.0356576728469645,
0.6225727165206019,
0.043305228017023314,
1.6988784344709034,
1.9197689393249813,
-1.8649956747532441,
-0.23010620256925718,
-0.007285967940362542,
1.6560612151457466,
1.7390632523033878,
-0.035427448272039704,
1.7464415332933005,
0.08956193821743699,
1.4411445446978155... | {
"n_parameters": 53,
"n_qubits": 12,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 27 |
d0c1ac7c2950342ff33af8d080129c99 | 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": [498, 434], "expectation_value": -96.19488966601894, "params": [0.24930000000000002, -0.23450000000000001, -0.0036000000000000003, 0.3986, 0.7033, 0.10740000000000001, 0.6995, -0.0048000000000000004, 0.40090000000000003, 0.19360000000000002, 0.6967, 0.0931, 0.6970000000000001, -0.0085, 0.23090000000000002, 0... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(9)) + 8.0 * Z(2) + -4.0 * Z(1) + 20.5 * Z(3) + 3.0 * Z(0) + 1... | 16 | 11 | 4 | {"smallest_eigenvalues": [-119.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["11001001101"], "largest_eigenvalue": 156.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.15554621447740033) q[0];
rz(-0.4654177669770623) q[0];
rx(0.04268354587551221) q[1];
rz(0.5328951653025438) q[1];
cx q[1], q[0];
rz(0.18208197918358449) q[0];
cx q[1], q[0];
rx(-0.014303462148947408) q[0];
rz(-0.6112804400202982) q[0];
rz(0.11764330089468304) q[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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIIIZIIZ",
"IIIIIZIZIII",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIZIIIII",
"IIIIZIIZIII",
"IIIIZIIIIIZ",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
8,
-4,
20.5,
3,
16.5,
10.5,
2.5,
14,
9,
-3,
-4.5
] | 0.971395 | [
0.15554621447740039,
-0.28333578779347757,
0.04268354587551221,
0.5328951653025438,
0.8529100348246955,
0.05081188104287612,
0.8278035780053605,
0.2121493448575098,
0.08343324881137419,
0.17660430998290358,
0.780997796068919,
0.27415329974559494,
0.6400702137073715,
-0.09468432579477412,
... | {
"n_parameters": 124,
"n_qubits": 11,
"optimal_eigenvalue": -119.5,
"target_ratio": 0.97,
"target_value": -115.91499999999999
} | 11 |
1c2304a67a30db02b0aacaef8f54cc49 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [121, 118], "expectation_value": -30.71002999118931, "params": [[0.0262, -0.0023, -0.0013000000000000002], [-0.0852, -0.06760000000000001, -0.0522]], "bitstrings": ["10000110", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012243423022590605, 0.01437349996639398], "optimization_time": 8.39... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 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(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24986965852497725) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.24986965852497725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.24986965852497725) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.24986965852497725) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
7.5,
18,
22,
9,
15.5,
12,
12.5
] | 0.975247 | [
-0.24986965852497725,
1.3798768189646131,
0.5821516926402323,
1.507434803907877,
0.15831176221933974,
1.6841090119447395,
1.868921696942766,
-0.8358733501937907,
-0.1051427607175125,
0.20699330037022715,
0.7086183832847479,
-1.714949108239384,
-0.20111868516637169,
-0.47681140686524326,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 81 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -29.525977838854857, "params": null, "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.0971611053113901, 0.7455589992314589], "optimization_time": 97.91157174110413} | 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)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 14 | 7 | 4 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) q... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(5.3058) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
b870bf177a3da6a6ab4722ca2196f1d4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [104, 42], "expectation_value": -0.6725446783459783, "params": [[-0.055400000000000005, -0.0333], [0.0651, 0.051500000000000004]], "bitstrings": ["0010111", "1010101"], "total_optimization_steps": 10, "probabilities": [0.009869217739526877, 0.01012331409006634], "optimization_time": 3.781493902206421} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010101", "0010111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.13979582898122853) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.13979582898122853) q[5];
cx q[4], q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.13979582898122853) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.1397958... | 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": []} | [
"IIZIIIZ",
"IZZIIII",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"ZIZIIII",
"ZIIIIZI",
"ZIIIZII",
"IIZZIII",
"IIIZZII",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-1,
-1,
-2,
-1.5,
-1
] | 0.970674 | [
0.13979582898122853,
0.5451974851045387,
0.896311297188517,
-0.7414798324997988,
0.5352231120965443,
0.15835998395847423,
0.19561446837986352,
-0.10248641959100045,
1.145938659979391,
0.49965126800794935,
-0.9225964103626579,
0.7782952451572615,
1.5157746098993041,
1.5283742643698681
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 51 |
a617d44a0e23e197ea031a5e0c78581c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -12.889621307949266, "params": [0.0016, 0.24150000000000002, 0.0027, 0.5760000000000001, 0.0024000000000000002, -0.5785, 0.0027, 0.5895, 0.0028, -0.5940000000000001, 0.0023, 0.5737, 0.0028, 0.5861000000000001, 0.0054, 0.093, 0.0028, -0.5785, 0.8026000000000001, 0.0001, 0.0059, 0.... | -0.25 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 2.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @... | 3 | 10 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.037531659889395476) q[0];
rz(0.18803132479075657) q[0];
rx(0.069884462724163) q[1];
rz(1.041360565935543) q[1];
rx(-0.039123129404561724) q[2];
rz(-0.7325016615982598) q[2];
rx(0.06988446272416299) q[3];
rz(1.0196013877167687) q[3];
rx(-0.022615113653527495) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIIZZIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIIIZIIII",
"IIIIIZIIZI",
"IIIIZIIIZI",
"IIZIIIIIZI",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIIIIIZII",
"IIIZZIIIII"... | [
-0.25,
-1,
-0.75,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
2.5,
-0.75,
-0.5,
-0.5,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.25,
-2,
1,
0.5,
1.75,
-0.25,
1,
0,
-1.5
] | 0.983194 | [
0.037531659889395476,
0.4163815102787586,
0.06988446272416299,
0.5867525179136751,
-0.03912312940456172,
-0.5187914974032167,
0.742040261088507,
-0.02261511365352749,
-0.7288417945968432,
-0.0033134618253322055,
0.6827412917165196,
0.6852408931746257,
0.04434464253219436,
0.362140031035623... | {
"n_parameters": 44,
"n_qubits": 10,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 10 |
460c923df83f30f22def2c9af8610a90 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [112, 13], "expectation_value": -0.9182029654338246, "params": [[0.059800000000000006, 0.06570000000000001, 0.07010000000000001], [-0.032100000000000004, -0.054700000000000006, -0.0637]], "bitstrings": ["0001111", "1110010"], "total_optimization_steps": 10, "probabilities": [0.013278951093234811, 0.013824516... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(6) + -1.5 * Z(2) + -1.0 * Z(5) | 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": ["0110110", "0111100", "0011101", "0001111", "1110010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.12233641357649425) q[0];
cx q[4], q[0];
rz(0.3765696952853905) q[0];
rx(-1.2769170506152017) q[0];
cx q[4], q[1];
rz(0.12233641357649425) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.12233641357649425) q[3];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IIZIIZI",
"IIIZIZI",
"ZIIIIZI",
"IIZIZII",
"IIIZZII",
"ZIIIZII",
"IZZIIII",
"IZIZIII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIZIII",
"ZIIIIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-0.5,
-1.5,
-1
] | 0.922154 | [
0.12233641357649425,
-1.2934414187902954,
0.37656969528539047,
-0.6503855682493497,
0.8038693115633776,
-1.2769170506152019,
0.9043538820045093,
-1.693141488697201,
-0.90289687204353,
-1.4194505451237325,
-0.5705143914878514,
0.4995326822605433,
-2.886443753675267,
-1.9763964731451829,
0... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
ee4e0dcc5b37af510500cd4617634b5a | 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": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": ... | {"states": [4095, 2047], "expectation_value": -20.00878921793526, "params": [[[0.0027, -0.010400000000000001], [-0.0006000000000000001, -0.0025], [0.0034000000000000002, 0.0024000000000000002], [0.0053, 0.0024000000000000002], [0.0066, 0.0022], [0.0019, 0.0023], [0.0026000000000000003, 0.0023], [0.0079, 0.0023], [0.002... | -0.5 * (Z(0) @ Z(7)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(7)) + -1.0 * (Z(1) @ Z(9)) + -0.75 * (Z(11) @ Z(1)) + -1.0 * (Z(4) @ Z(11)) + -0.75 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @... | 15 | 12 | 2 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.016997714557701393) q[0];
ry(-0.13172192989637146) q[1];
ry(-0.005769897029522915) q[2];
ry(-0.1549301071604438) q[3];
ry(0.20994194356488088) q[4];
ry(-0.024431906760961776) q[5];
ry(0.006778788012451951) q[6];
ry(0.24091247138738217) q[7];
ry(-0.0165374376296245... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZ",
"IIIZIIIIIIIZ",
"IIZIZIIIIIII",
"IIZIIIIIIIZI",
"ZIIIIIIIIIZI",
"ZIIIIIIZIIII",
"IIIIZIZIIIII",
"IIIZIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIZIZIIIIII",
"IIZIIZIIIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIIZI",
"ZZIIIIIIIIII",
"IZIIIIIZI... | [
-0.5,
-0.5,
-0.75,
-1,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-1.5,
-1,
-1,
-1.25,
-0.25,
-0.75,
-0.5,
-0.25,
-1,
-1,
-0.5,
-1,
-0.25,
-0.25,
-1,
-0.5,
1.25,
-0.75,
-0.25,
-0.5,
-1,
-1,
-0.25,
0.75,
-1.5,
0.75,
0,
1.25,
1.75,
-2.75,
1.25,... | 0.970136 | [
0.016997714557701393,
-0.13172192989637146,
-0.005769897029522915,
-0.1549301071604438,
0.20994194356488088,
-0.024431906760961776,
0.006778788012451951,
0.24091247138738217,
-0.016537437629624587,
-0.20563683238333666,
1.910730906956223,
-0.037949098496371965,
0.06345564424566841,
-0.0354... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -20.75,
"target_ratio": 0.97,
"target_value": -20.127499999999998
} | 51 |
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [16, 19], "expectation_value": -3.999971823125694, "params": null, "bitstrings": ["01111", "01100"], "total_optimization_steps": 22, "probabilities": [1.3834265384826307e-05, 0.9999858819924361], "optimization_time": 14.942824125289917} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.016228639223514973) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.016228639223514973) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.016228639223514973) q[2];
cx q[0], q[2];
rz(-1.196649630207868) q[0];
rx(1.6249956830407981) q[0];
h ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZZII",
"ZIIZI",
"ZIZII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5
] | 0.981439 | [
-0.016228639223514973,
1.522688419965938,
-1.1966496302078677,
1.624995683040798,
-0.8755811242009026,
0.7452257823272057,
0.2393407597375708,
0.22077208961471634
] | {
"n_parameters": 8,
"n_qubits": 5,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 31 |
fcba12f78dbb04a944afdfe31d032329 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 32.63313174247742} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.4254799601393619) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.4254799601393619) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0294819745702197) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0294819745702197) ... | 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];\ncry(-1.5681) q[7], 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] = me... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIZIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIZIZIII",
"IIZZIIII",
"IZZIIIII",
"IIZIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZI... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
1.75,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-1,
0,
-0.25,
-0.5,
0.25,
0.5,
1,
0,
-1
] | 0.965139 | [
0.4254799601393619,
0.0294819745702197,
-0.8480239773916536,
0.4187717515697565,
0.6696261157821541,
0.305487811964182,
0.5015073803258601,
-0.3150905293887279,
0.8566058060930665,
0.5723667175968977,
-0.1886534447062073,
-0.03350896778430279,
1.0910279095719788,
-0.16547738044583582,
-0... | {
"n_parameters": 37,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 500 |
5144181ac27497fdfa9bdb5b8b799630 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}]} | {"states": [22, 21], "expectation_value": -0.07168306991019877, "params": [0.2742, -0.0114, 0.2525, -0.0037, 0.2943, -0.004200000000000001, 0.3, 0.0014, 0.28600000000000003, -0.0027, 0.26990000000000003, -0.0018000000000000002, 0.2988, -0.0038, 0.2953, -0.0045000000000000005, 0.28240000000000004, -0.0047, 0.272, -0.005... | 0.25 * (Z(0) @ Z(1)) + -0.003125 * (Z(2) @ Z(0)) + -0.003125 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.003125 * (Z(4) @ Z(0)) + 0.0015625 * (Z(4) @ Z(2)) + -0.003125 * (Z(5) @ Z(1)) + 0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.006249999999999978 * Z(1) + -0.006249999999999978 * Z(0) + -0.001562499999999994... | 6 | 6 | 3 | {"smallest_eigenvalues": [-0.759375, -0.759375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.753125, "smallest_bitstrings": ["101010", "010101"], "largest_eigenvalue": 0.7718750000000001} | 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];
| OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIZI",
"IIZZII",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
-0.003125,
-0.003125,
0.25,
-0.003125,
0.0015625,
-0.003125,
0.0015625,
0.25,
-0.006249999999999978,
-0.006249999999999978,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944,
-0.0015624999999999944
] | 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 |
8dec2de99ad70c698bd623727acbef94 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [0, 28], "expectation_value": -4.976710314667306, "params": [0.19490000000000002, 0.3095, 0.2922, 0.1494, 0.4369, 0.0014, 0.6990000000000001, -0.0013000000000000002, 0.7018, -0.0011, 0.7022, 0.0021000000000000003, 0.5483, -0.0158, -0.0024000000000000002, 0.3633, 0.2041, 0.3415, 0.2909, -0.0562, 0.60710000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["01100111", "11100011", "10011101", "00110111"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.3013717237956952) q[0];
rz(1.7797035236463472) q[0];
rx(-0.02984027243996706) q[1];
rz(1.0954393562341203) q[1];
rx(0.312989306845536) q[2];
rz(1.4642476923401428) q[2];
rx(1.4463573898044455) q[3];
rz(1.821025266795731) q[3];
rx(0.5038377684931383) q[4];
rz(1.142... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIZIIIZI",
"ZIIIIIZI",
"IIIIZZII",
"ZIIIZIII",
"IIIIZIZI",
"IIIZIZII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1,
-2.5,
-1,
-1,
-1
] | 0.971866 | [
-0.30137172379569516,
0.2089071968514516,
-0.029840272439967057,
-0.47535697056077697,
0.312989306845536,
-0.10654863445475324,
1.4463573898044457,
0.25022894000083384,
0.5038377684931383,
-0.42833113664213773,
1.7201255372895299,
0.019905675711500814,
0.25774203168779747,
0.13521406826497... | {
"n_parameters": 46,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 21 |
4d7848bbad7b19d9302a5e47a96a2582 | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -12.318817509368063, "params": [-0.0034000000000000002, -0.5157, -0.0033, 0.007200000000000001, 0.003, -0.43210000000000004, 0.003, 0.008700000000000001, 0.0024000000000000002, -0.4703, 0.0025, 0.0018000000000000002, 0.8054, 0.0747, 0.8001, 0.0078000000000000005, 0.002600000000... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -0.25 * (Z(11) @ Z(0)) + -0.5 * (Z(11) @ Z(8)) + 1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(6) ... | 5 | 12 | 1 | {"smallest_eigenvalues": [-14.25, -14.25, -14.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.25, "smallest_bitstrings": ["111011111111", "111011111011", "110011111011"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.18027847415071616) q[0];
rz(-0.9064881315210345) q[0];
rx(0.01461288539922916) q[1];
rz(-0.27976093300036275) q[1];
rx(0.10343698203284149) q[2];
rz(-0.6819542027114913) q[2];
rx(1.2061416555229068) q[3];
rz(0.43026061572436536) q[3];
rx(-0.021576790791468337) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIZIIIIIIIZ",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIZIIIIIIII",
"IIIIIIIIZIIZ",
"IIIIIIZZIIII",
"IIIZIIZIIIII",
"IIIIIIZIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIIZIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIZIZIIII",
"IIIZIZIIIIII",
"ZIIIIZIIIIII",
"IIIIIZIIIIZI",
"IIIIZZIII... | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1.5,
-1,
-0.25,
-0.75,
-0.25,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-1.75,
-0.5,
1,
0.75,
-0.25,
-1,
0,
0.75,
0.5,... | 0.980572 | [
0.18027847415071613,
-0.8253300631262028,
0.014612885399229161,
-0.3305143485119212,
0.1034369820328415,
-0.6261686079150519,
1.2061416555229068,
-0.01896949741253859,
-0.021576790791468337,
-0.42653310792415017,
-0.6059576035166774,
-0.10009478042906048,
-0.6252859519562703,
0.00669167525... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 8 |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6607, 6615], "expectation_value": -34.664546895045525, "params": [[0.0339, -0.10550000000000001, 0.1768], [-0.5849, -0.0171, -0.3718]], "bitstrings": ["0011000110000", "0011000101000"], "total_optimization_steps": 110, "probabilities": [0.007154268454350192, 0.007154268454350195], "optimization_time": 35.11... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 1 | 13 | 3 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000101000", "0011000110000"], "largest_eigenvalue": 156.66666666666669} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.03919900404802914) q[0];
cx q[4], q[0];
h q[5];
cx q[4], q[5];
rz(0.26038955357752364) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.12295043049294087) q[5];
cx q[0], q[5];
h q[6];
cx q[4], q[6];
rz(0.0080972549082... | 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": []} | [
"IIIIIIIIZIIIZ",
"IIIIIIIZZIIII",
"IIIIIIIZIIIIZ",
"IIIIIIZIZIIII",
"IIIIIIZIIIIIZ",
"IIIIIIZZIIIII",
"IIIIIIIIZIIZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIIIIZIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIZIIZII",
"IIIIIIZIIIZII",
"IIZIIIIIZIIII",
"IIZIIIIZIIIII",
"IIZIIIZIIIIII",
"IIZIIIIIIIZ... | [
0.5,
2,
1,
3,
1.5,
6,
1,
0.8333333333333334,
2,
3,
-0.5,
-1,
-1.5,
-0.5,
-1,
-1.5,
0.5,
-1,
-2,
-3,
1,
2,
-1,
-2,
-3,
1,
2,
4,
-1,
-2,
-3,
0.8333333333333334,
1,
2,
2,
0.5,
1,
1.5,
-0.5,
-0.5,
-1,
-1,
-1,
1,
2,
3,
-1,
-1,
... | 0.905976 | [
0.03919900404802914,
0.26038955357752364,
0.12295043049294087,
0.008097254908228992,
0.027479073566993174,
0.09066750514128945,
0.05034812036080168,
0.05893931162781403,
0.000643074169123192,
-0.0879529644722815,
-0.03821017457563514,
-0.1332070244658603,
0.19942511798644225,
1.05719982605... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -45.33333333333333,
"target_ratio": 0.97,
"target_value": -43.97333333333333
} | 500 |
0ae9b6f2b61290137ab22e2dafb0c164 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 4}, {"weight": 14, "source"... | {"states": [121, 61], "expectation_value": -12.263272557091653, "params": [[-0.0489, -0.0223], [0.0613, 0.0557]], "bitstrings": ["0000110", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01828349133725967, 0.021596124858764786], "optimization_time": 4.270619869232178} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 12.0 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 112.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
12,
7,
12.5,
13,
11.5,
4.5,
13
] | 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 |
681688080027304733 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 6], [0, 2, 5], [0, 1, 6], [3, 4, 5], [1, 3, 5]]} | {"states": [94, 124], "expectation_value": -1.6291635269107756, "params": null, "bitstrings": ["0100001", "0000011"], "total_optimization_steps": 35, "probabilities": [0.011056257717375813, 0.9527164816135961], "optimization_time": 35.23408794403076} | 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.1666666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["0000011"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-2.8908870263966153) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.16487902989728906) q[2];
h q[3];
ry(1.3410272905340475) q[3];
cx q[3], q[0];
ry(-0.11576900389116593) q[0];
cx q[3], q[0];
ry(0.07158465393209591) q[3];
cx q[0], q[3];
ry(-0.07158465393209591) q[3];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZZIII",
"ZIZIIII",
"ZIIZIII",
"ZIIIIIZ",
"IIIIZIZ",
"IZZIIII",
"IZIZIII",
"IZIIIIZ",
"IZIIZII",
"IIIZIZI",
"ZIIIIZI",
"IIIIIZZ",
"IZIIIZI",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIIIIZI"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,... | 0.974647 | [
1.3410272905340475,
1.204321695710553,
0.23153800778233186,
-0.3297580597945781,
-0.2684599620691817,
-0.41752142259579994,
0.14316930786419182,
-0.06874937116532828,
0.3675965283876246,
0.19295184863197992,
-0.38883494905602967,
0.44813294581702745,
-0.751141999378328,
0.7134973747495061,... | {
"n_parameters": 33,
"n_qubits": 7,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 4 |
0227fd0262660357a7db3e0f6c7f2278 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 12, ... | {"states": [123, 118], "expectation_value": -11.593794892409525, "params": [[0.0514], [-0.0829]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008307581691733297, 0.009343011851096929], "optimization_time": 2.023421287536621} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.027365982549677238) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.027365982549677238) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.027365982549677238) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(-0.027365982549677238) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
9,
14,
14.5,
8,
16,
12.5,
9
] | 0.980532 | [
-0.027365982549677238,
1.592618949151923,
-1.4329546286869304,
1.7054135985517422,
1.5904947995848453,
-1.053130351298244,
1.459491578953517,
1.7146146258034016,
-1.5092231146077384
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -66.5,
"target_ratio": 0.97,
"target_value": -64.505
} | 40 |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -0.34259564674442156, "params": [[0.0396, 0.0412, 0.0115, 0.0264], [-0.036000000000000004, -0.0391, -0.0228, -0.0247]], "bitstrings": ["001101", "011001"], "total_optimization_steps": 10, "probabilities": [0.019334741762658612, 0.019334741762658616], "optimization_time": 5.1502... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
5ab0d413e91c40c8571cb2ab0e0009e7 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -21.0778815079985, "params": [-0.2889, -0.1605, -0.33480000000000004, -0.028200000000000003, -0.3542, 0.3009, -0.3956, 0.1632, 0.0017000000000000001, 0.2871, -0.001, 0.47390000000000004, -0.37470000000000003, -0.0142, -0.4436, -0.0235, 0.028300000000000002, 0.26180000000000003,... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"], "largest_eigenvalue": 27.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.5574713118117607) q[0];
rz(1.7493992270792322) q[0];
rx(-0.4594540979603695) q[1];
rz(1.8252919771661595) q[1];
rx(0.02046867567771737) q[2];
rz(2.152754468132616) q[2];
rx(-0.36388622198717396) q[3];
rz(1.7051223684501764) q[3];
rx(-0.08839192898698094) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IZIIIZIIII",
"IIZIIZIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"IIIIIZIZII",
"IIZIIIIZII",
"IIIIZIIZII",
"ZIIIIIIZII",
"IZIZIIIIII",
"IIIZIZIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IIIZIIIZII"... | [
-1.5,
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-3,
-2.5,
0.5,
0.5,
1,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
1,
-2,
-2.5,
1,
1.5,
-2.5,
1
] | 0.971363 | [
-0.5574713118117606,
0.17860290028433565,
-0.4594540979603695,
0.2544956503712633,
0.02046867567771737,
0.5819581413377195,
-0.363886221987174,
0.13432604165527892,
-0.08839192898698095,
0.472490915671105,
-0.1404617520731622,
1.2070778612727862,
0.02394998335109433,
0.35084461764043817,
... | {
"n_parameters": 191,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 226 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | 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": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [63, 1], "expectation_value": -1.2776390196050151, "params": [[-0.0762, -0.0755], [0.0712, 0.07440000000000001]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015279526764251145, 0.015490102758742071], "optimization_time": 2.5051982402801514} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1111110", "1000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
2092724359954104938 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 4, 5, 8, 11], [9, 11, 5], [1, 10, 4, 9], [3, 6], [4, 7]]} | {"states": [2499, 3523], "expectation_value": -1.6814598548193285, "params": [[[3.1398, 0.0028], [1.587, 0.0068000000000000005], [0.5243, 0.009600000000000001], [3.1386000000000003, 0.0034000000000000002], [3.1446, 0.0006000000000000001], [3.1446, 0.0068000000000000005], [-0.002, 0.0058000000000000005], [0.0022, 0.0065... | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.023809523809523808 * (Z(2) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.0238095... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, -1.7738095238095237, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.120318445037316) q[0];
rz(0.17668074599444022) q[0];
rx(1.9955066490146245) q[1];
rz(0.021146961528912288) q[1];
rx(0.4860829128267905) q[2];
rz(0.311693748187315) q[2];
rx(3.1574619018987677) q[3];
rz(0.3053478340700628) q[3];
rx(3.1125905695766782) q[4];
rz(-0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIIIZII",
"IIIZIIIZIIII",
"IIIZIIZIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIIIIIZ",
"ZIIIIIIII... | [
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023... | 0.974009 | [
3.120318445037316,
0.17668074599444022,
1.9955066490146245,
0.021146961528912288,
0.4860829128267905,
0.311693748187315,
3.1574619018987677,
0.3053478340700628,
3.1125905695766782,
-0.12210198566404168,
-0.06425783607348676,
0.015543930440386114,
0.06826795922966415,
-0.024767105221356195,... | {
"n_parameters": 21,
"n_qubits": 12,
"optimal_eigenvalue": -1.7738095238095237,
"target_ratio": 0.97,
"target_value": -1.720595238095238
} | 7 |
9fd2b9433a66405e1d6eb93b4b7e823c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [358, 364], "expectation_value": -94.85404112431424, "params": [[[1.1473, -0.0018000000000000002], [0.7824, 0.0043], [0.0502, 0.003], [0.6789000000000001, 0.0056], [0.7472000000000001, 0.007200000000000001], [-0.0218, 0.0061], [-0.109, -0.48400000000000004], [1.3384, 0.3972], [-0.0012000000000000001, 0.29560... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 3.5 * Z(0) + 10.0 * Z(1) + 9.5 * Z(3) + 0.5 * Z(2) + 6.5 * Z(4) + 3.0 * Z(5) + 11.5 * Z(8) + 17.0 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.0, "smallest_bitstrings": ["1010010011"], "largest_eigenvalue": 149.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1603099865965452) q[0];
ry(0.670162940999896) q[1];
ry(-0.057291059790719925) q[2];
ry(0.6517386188938382) q[3];
ry(0.6887982749303448) q[4];
ry(-0.07461288003209204) q[5];
ry(0.10815399117362776) q[6];
ry(1.374543394310839) q[7];
ry(0.03949578193082312) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIIZ",
"IIIIZIIIZI",
"IIIIZZIIII",
"IZIIIIZIII",
"IIZIIIIZII",
"IZZIIIIIII",
"IZIZIIIIII",
"IIZZIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IZIIIIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
3.5,
10,
9.5,
0.5,
6.5,
3,
11.5,
17,
7.5,
-10
] | 0.97029 | [
1.1603099865965452,
0.670162940999896,
-0.057291059790719925,
0.6517386188938382,
0.6887982749303448,
-0.07461288003209204,
0.10815399117362776,
1.374543394310839,
0.03949578193082312,
-0.03802345005063609,
-0.03737847981754447,
-0.03864153036768186,
0.008900135957058922,
0.014794465923420... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 69 |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [117, 93], "expectation_value": -11.158744462424952, "params": [[0.021400000000000002, 0.0195, 0.0154], [-0.0261, -0.029900000000000003, -0.029300000000000003]], "bitstrings": ["10001010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.008039592209536046, 0.008526602079529195], "optimizatio... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.09219022397749128) q[0];
cx q[1], q[0];
rz(-1.2871422316693653) q[0];
rx(0.10379619859919222) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.09219022397749128) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.09219022397749128) q[2];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
-3,
15,
12,
17,
12.5,
5,
11.5
] | 0.979572 | [
0.09219022397749128,
0.8982429000207126,
-1.2871422316693646,
0.24599877936251585,
-0.9798884543189016,
0.6694199466030656,
0.8683968766675187,
-0.3547308698519625,
0.9369223338993231,
0.10379619859919209,
-0.08770470281201148,
0.5841101200094906,
-0.6227792457430795,
1.1403942607354456,
... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 37 |
df4ecb6ebc48c9049ce6597f2a05ee78 | 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": 13, "source": 1, "target": 7}, {"weight": 20, "source": 1, "target": 6}, {"weight": 18, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -35.8440379446526, "params": [[-0.031, -0.0015, 0.0059, -0.055200000000000006], [0.0685, 0.0727, 0.06280000000000001, 0.0142]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.010157907423423065, 0.012515555769049393], "optimizati... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(4)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 200.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06360886017765513) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.06360886017765513) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(0.06360886017765513) q[3];
cx q[2], q[3];
cx q[2], q[1];
rz(0.063608860177655... | 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": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIIZIZI",
"IIIZIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"ZIIIZIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIIIZIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
9.5,
24.5,
23.5,
22,
4,
12.5,
0.5,
5
] | 0.973782 | [
0.06360886017765513,
-1.5563439684684441,
1.389431623627156,
-1.70286799248886,
-1.6149385518993675,
-1.587244180675205,
1.2314295841410297,
-1.363684678698497,
1.3524507360679219,
1.6479140891865915,
1.6801288961870093
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -99.5,
"target_ratio": 0.97,
"target_value": -96.515
} | 48 |
48f4206358d7eb805c06acc3c7b811f0 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43418, 22938], "expectation_value": -2.0064398808148383, "params": [[[3.1617, 0.0043], [-1.6183, 0.004], [3.1586000000000003, 0.0064], [-1.5517, 0.0068000000000000005], [3.1612, 0.0098], [-0.0031000000000000003, 0.0077], [3.1613, 0.0068000000000000005], [-0.0172, 0.0031000000000000003], [3.1581, 0.0059], [-... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.0182499999999792], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.018249999999943, "smallest_bitstrings": ["1010011001100101"], "largest_eigenvalue": 2.0152499999999938} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.18074891816063) q[0];
rz(-0.1843313540990161) q[0];
rx(-1.5738163940394472) q[1];
rz(0.23823069182602202) q[1];
rx(3.1422381504166292) q[2];
rz(-0.06928223483156307) q[2];
rx(-1.4373748206270516) q[3];
rz(-0.03708456659132736) q[3];
rx(3.1066147526255024) 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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
0.00025000000000000006,
-0.0008749999999999999,
0.00025000000000000006,
-0.0008749999999999999,
0.25,
-0.0008749999999999999,
-0.0006875000000000002,
0.000375,
-0.0008749999999999999,
-0.0006875000000000002,
0.000375,
0.25,
... | 0.992828 | [
3.18074891816063,
-0.1843313540990161,
-1.5738163940394472,
0.23823069182602202,
3.1422381504166292,
-0.06928223483156307,
-1.4373748206270516,
-0.03708456659132736,
3.1066147526255024,
0.05938975202796175,
-0.08002959245046469,
0.09536176889993521,
3.198836847894204,
-0.22799575847974446,... | {
"n_parameters": 30,
"n_qubits": 16,
"optimal_eigenvalue": -2.0182499999999792,
"target_ratio": 0.97,
"target_value": -1.9577024999999797
} | 1 |
70196c9e5e5eed44a74c7bea1ceede42 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 2, "target": 7},... | {"states": [15, 1551], "expectation_value": -2.1801053674131987, "params": [[-0.0779], [0.0761]], "bitstrings": ["11111110000", "00111110000"], "total_optimization_steps": 10, "probabilities": [0.0009341723937388377, 0.0009767784271904924], "optimization_time": 1.3787555694580078} | -1.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00111110000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.9137352880410299) q[0];
cx q[1], q[0];
rz(0.2689427588304305) q[0];
rx(1.1745351676993625) q[0];
rz(0.2689427588304305) q[1];
rx(1.1745351676993625) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(0.07970599080508173) q[2];
c... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIZIIIZII",
"IIIIIZZIIII",
"IIIIIIZIZII",
"IIIIZIZIIII",
"IIIIIZIZIII",
"IIIIIIIZZII",
"IIIIZIIZIII",
"IIIIIIZZIII",
"IIZZIIIIIII",
"ZIZIIIIIIII",
"ZIIZIIIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIII... | [
-1,
1,
0.5,
-2.5,
-2.5,
-3,
1,
0.5,
1,
-2.5,
-2.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
-2,
-2,
-2,
1.5,
1,
0.5,
0.5,
0.5,
0.5
] | 0.569456 | [
1.9137352880410299,
0.07970599080508173,
0.2689427588304306,
0.26095148199702944,
0.14389612357279366,
0.8106488146902346,
1.4344166996139387,
1.2419529108841116,
1.1745351676993627
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -20.5,
"target_ratio": 0.97,
"target_value": -19.884999999999998
} | 234 |
5a1527813da7c534130c872b3bb3e98c | 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": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, ... | {"states": [127, 109], "expectation_value": -2.625553251873459, "params": [[-0.0668, -0.07300000000000001, -0.057300000000000004], [0.0707, 0.0772, 0.0723]], "bitstrings": ["10000000", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012724456220547577, 0.015143417859492454], "optimization_time": 4.5610... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(6)) + 0.0 * Z(4) + -0.25 * Z(0) + -2.25 * Z(6... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.29304397876910926) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.02674098017791228) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.04175429471611432) q[1];
cx q[4], q[1];
cx q[4], 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIIIZ",
"ZIIIIZII",
"IIZZIIII",
"IZZIIIII",
"IZIIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII"
] | [
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-1,
-0.75,
1.25,
-1.25,
-1,
-0.5,
-1,
0,
-0.25,
-2.25,
1,
1,
0,
1.5,
-1
] | 0.971046 | [
0.29304397876910926,
0.02674098017791228,
-0.04175429471611432,
0.31653577106034975,
-0.7674656124835568,
0.11950634229219104,
-0.8301752525936286,
0.7774601513321433,
-0.3757443019400376,
-0.4588934753783208,
1.4706729354158479,
0.367692223145139,
0.11452940949680336,
-0.16572355263815042... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 167 |
5824ffa6b73ef6ad0ee2303e68693ae5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [255, 127], "expectation_value": -0.4621844566848044, "params": [[0.0346], [-0.0335]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004617655498525661, 0.004639072757072085], "optimization_time": 1.5823974609375} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.208624356508972) q[0];
ry(0.3445826733055093) q[0];
rz(0.3425534279700724) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.06813779975224218) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.1150220041142146) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.06813779975224218) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3]... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
-2.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.972363 | [
0.06813779975224218,
-0.1150220041142146,
0.05850225544978922,
-0.18272903475547075,
1.574167388603061,
-1.246989840947977,
-1.6907699301091281
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -22.5,
"target_ratio": 0.97,
"target_value": -21.825
} | 26 |
549ddf61b33c747b7d039a2118793eec | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [127, 119], "expectation_value": -12.019621698077074, "params": [[[0.0024000000000000002, 3.1601000000000004], [-0.003, 0.0028], [-0.0028, 0.0029000000000000002], [-1.6115000000000002, 0.0024000000000000002], [0.0023, 0.0026000000000000003], [0.0028, 0.0025], [0.0022, -0.0027]]], "bitstrings": ["0000000", "0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 15 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.06616974502287365) q[0];
ry(-0.01217220851318944) q[1];
ry(0.043602881688537334) q[2];
ry(-2.0733318929166966) q[3];
ry(0.14013504785004716) q[4];
ry(-0.0047168065748929245) q[5];
ry(0.0034084174370931824) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971722 | [
0.06616974502287365,
-0.01217220851318944,
0.043602881688537334,
-2.0733318929166966,
0.14013504785004716,
-0.0047168065748929245,
0.0034084174370931824,
3.2375834599948186,
0.014423834630379575,
-0.07832767106901686,
-0.04434139838083944,
-0.09502719019849129
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 14 |
b544e0681b57a6b09cfaa77e811e953f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [125, 117], "expectation_value": -65.85192468067883, "params": [-0.0035, 0.0014, 2.7867, 0.008700000000000001, 2.783, 0.0043, 2.797, 0.0058000000000000005, 1.4879, 0.0094, 2.785, 0.006, 0.003, 0.0078000000000000005, 2.7991, 0.0076, 0.0019, 0.009000000000000001, 0.0001, 0.0009000000000000001, 0.00620000000000... | 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(1) @ Z(5)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(1) @ Z(4)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(6) @ Z(7)) + 20.0 * Z(5) + 18.5 * Z(2) + 13.5 * Z(4) + 19.0 * Z(1) + ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.11857951107097907) q[0];
rz(0.21530607572323346) q[0];
rx(2.884279978831824) q[1];
rz(-0.0851571555632199) q[1];
rx(3.0503277751712425) q[2];
rz(0.2847292827868354) q[2];
rx(3.1968349019468554) q[3];
rz(-0.20586273601328317) q[3];
rx(0.36265207078191786) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIZIIZII",
"IIZZIIII",
"IIIZIZII",
"IIZIIIZI",
"IIIIIZZI",
"IIIZIIZI",
"IIZIZIII",
"IIIIZZII",
"IIIZZIII",
"IIIIZIZI",
"IIIIZIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
20,
18.5,
13.5,
19,
29,
-1.5,
2.5,
-2
] | 0.971996 | [
0.11857951107097907,
0.20711841509296813,
2.884279978831824,
-0.0851571555632199,
3.0503277751712425,
0.2847292827868354,
3.1968349019468554,
-0.20586273601328317,
0.36265207078191786,
0.24895546375727848,
2.7484138577938917,
-0.1507053306478886,
-0.18310445904213796,
-0.03349151948278847,... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 11 |
92977879d93808800c1e23dcfc7674ef | 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": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -7.745831462960979, "params": null, "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 16, "probabilities": [0.004146169462670658, 0.9958365055879695], "optimization_time": 12.7109215259552} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(1.3261269853696955) q[0];
ry(0.15280812214778283) q[0];
rz(-0.9337312810805996) q[0];
rz(1.9964547680865152) q[1];
ry(0.012800230110904963) q[1];
rz(-1.05764626837213) q[1];
rz(1.8549141366812627) q[2];
ry(0.11932868904959167) q[2];
rz(-1.180939263083199) q[2];
rz(1.... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIZI",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IIZIIZI",
"IIZZIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.5,
-0.5,
0.5,
-0.25,
-1.25,
-1.75,
-1,
-0.75,
-1,
1,
-0.25,
-0.25,
0,
0.25,
-1.5,
0.75
] | 0.971819 | [
0.2272475611940175,
0.4377124216033437,
0.007027150486334427,
0.8512983117083938,
0.06214994664994243,
0.5671964715179287,
0.7475781204584308,
-0.1054743656991431,
0.8578104341995038,
-0.0897300356332893,
0.7944609943390304,
1.1250250205416625,
0.10067833046202983,
-0.0870985131794334,
-... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 8 |
fff40671ac75f93e1b965764adf9f0d1 | 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": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [104, 120], "expectation_value": -3.3819400075456745, "params": [0.0699, 0.14150000000000001, 0.06620000000000001, 0.1408, 0.2987, 0.0039000000000000003, 0.3002, 0.0034000000000000002, 0.3068, -0.00030000000000000003, 0.30710000000000004, 0.0017000000000000001, 0.2975, 0.0022, 0.2963, -0.0004, 0.3034, -0.002... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(4) + -1.0 * Z(0) + -1.0 * Z(6) + -1.5 * Z(7) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(2) + -0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00001111", "10000111"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.5106835642121716) q[0];
rz(0.31630226567798925) q[0];
rx(0.4761485713571775) q[1];
rz(-0.152488158176002) q[1];
cx q[1], q[0];
rz(-0.05290670657199319) q[0];
cx q[1], q[0];
rz(-1.5692750110213614) q[0];
ry(0.3417289361552657) q[0];
rz(1.8504066220175872) q[0];
rx(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] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IZIIIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"IZIIIIZI",
"ZIIIIIZI",
"ZIZIIIII",
"IIZIIZII",
"IZIIZIII",
"IIZIZIII",
"IIIZIIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1.5,
-0.5,
-1,
0,
-0.5
] | 0.971225 | [
0.5106835642121716,
0.2633955591059963,
0.4761485713571775,
-0.152488158176002,
0.6250100503198315,
-0.084945408829754,
0.5766477909266587,
0.1794671276745243,
0.5567158203917703,
0.14177860781100293,
-0.14208547673831082,
-0.18198475888498847,
-0.017858647203065944,
0.08461049714390748,
... | {
"n_parameters": 107,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 14 |
d2afe27b0de0de0693309013bd4cb7f6 | 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": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [159, 115], "expectation_value": -31.07311390791784, "params": null, "bitstrings": ["01100000", "10001100"], "total_optimization_steps": 100, "probabilities": [0.13685654008494053, 0.17358932876943156], "optimization_time": 157.40398383140564} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10001100"], "largest_eigenvalue": 127.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.6603319576342586) q[0];
rz(-pi) q[1];
ry(-3.09132270976154) q[1];
h q[2];
ry(-1.59277342892783) q[2];
h q[3];
ry(10.929252278696099) q[3];
h q[4];
rz(-pi) q[5];
ry(-3.0980243226886683) q[5];
rz(-pi) q[6];
ry(-1.4685334302306399) q[6];
cx q[3], q[6];
ry(-0.2... | null | {"matching": "near_perfect", "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(8.8595) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIZIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5.5,
9.5,
15.5,
1,
11,
14,
12
] | 0.970121 | [
10.929252278696099,
-0.5854890024487437,
-15.870510362502078,
-2.371832064547635,
3.190282941504731,
0.5296199822347359,
-3.151836567617419,
33.118537899059916,
-1.59277342892783,
1.6603319576342586,
10.629557319388375,
3.048407594216927,
-37.408128681922456,
-0.017677031990097333,
-0.14... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -60.5,
"target_ratio": 0.97,
"target_value": -58.684999999999995
} | 63 |
-1138517565592699559 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3, 6], [0, 1, 2, 3], [0, 1, 4], [1, 3, 4, 5, 6], [1, 2, 4, 5], [0, 5, 6], [2, 3, 4, 6], [0, 2, 6]]} | {"states": [79, 94], "expectation_value": -2.230852647871271, "params": null, "bitstrings": ["0110000", "0100001"], "total_optimization_steps": 34, "probabilities": [0.03548913872990516, 0.9384271608871115], "optimization_time": 36.46928334236145} | 0.25 * (Z(0) @ Z(3)) + 0.3 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.1666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.2833333333333337], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.95, "smallest_bitstrings": ["0100001"], "largest_eigenvalue": 8.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.521335016350203) q[0];
h q[1];
ry(-0.4681831547665385) q[1];
h q[2];
ry(-2.5153909500335003) q[3];
rz(-pi) q[3];
cx q[0], q[3];
ry(-0.2984858689929996) q[3];
cx q[0], q[3];
h q[4];
ry(1.3328690241221064) q[4];
cx q[4], q[1];
ry(0.4681831547665385) q[1];
cx ... | 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(1.5547) 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", "... | [
"IIIZIIZ",
"ZIIZIII",
"ZIIIIIZ",
"IIIZIZI",
"IIIIIZZ",
"ZIIIIZI",
"IIIZZII",
"IIIIZIZ",
"ZIIIZII",
"IIIIZZI",
"IIZZIII",
"IIZIIIZ",
"ZIZIIII",
"IIZIIZI",
"IIZIZII",
"IZIZIII",
"IZIIIIZ",
"ZZIIIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"III... | [
0.25,
0.3,
0.5,
0.13333333333333333,
0.25,
0.05,
0.16666666666666666,
0.25,
0.25,
0.16666666666666666,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.3,
0.16666666666666666,
0.05,
0.16666666666666666,
0.21666666666666667,
0.13333333333333333,
0.083333333333333... | 0.973028 | [
1.521335016350203,
1.3328690241221064,
0.6461087542456043,
-0.7278982532658143,
0.5969717379859992,
-0.5193385803063241,
0.8883624832586667,
-0.936366309533077,
0.8036948984739032,
-0.6982222675279749,
0.5740383577229375,
-0.5749458995229116,
0.6152509584411375,
-0.2515751599535188,
0.17... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -2.2833333333333337,
"target_ratio": 0.97,
"target_value": -2.2148333333333334
} | 1 |
7821367770018313984 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 5], [0, 2, 4], [2, 3, 4], [2, 3, 5, 6]]} | {"states": [109, 79], "expectation_value": -0.507403523637128, "params": [[-0.37560000000000004], [0.3685]], "bitstrings": ["0010010", "0110000"], "total_optimization_steps": 40, "probabilities": [0.014564750097942648, 0.014915024393235068], "optimization_time": 2.636690139770508} | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.3 * (Z(3) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.116666666666667, -1.116666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1166666666666667, "smallest_bitstrings": ["0010000", "0110000"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(9.357141850781782e-06) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(9.357141850781782e-06) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.00013802673077212835) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(9.357141850781782e-06) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
0.05,
0.05,
0.21666666666666667,
0.05,
0.05,
0.3,
0.05,
0.05,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.1,
0.26666666666666666,
0.5583333333333331,
0.3... | 0.965911 | [
0.000009357141850781782,
0.00013802673077212835,
0.00015644977513742697,
0.00009312916651546432,
0.00043620217837542826,
-1.7414467602793584,
0.00002940398669980322,
-1.5707949917423747,
-1.5708117639072823,
1.618666282931423,
-1.5708086561376338,
1.5707842596037436,
-1.5707932363877493,
1... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.116666666666667,
"target_ratio": 0.97,
"target_value": -1.0831666666666668
} | 338 |
981d1c7c9fbdad6c746b4dad564c629c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [3599, 3983], "expectation_value": -20.312563465733938, "params": null, "bitstrings": ["000111110000", "000001110000"], "total_optimization_steps": 100, "probabilities": [0.13557563225391775, 0.4102182428490515], "optimization_time": 213.43656873703003} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["000001110000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
ry(0.36106641988098875) q[0];
h q[1];
h q[2];
ry(0.11329087791330916) q[2];
cx q[1], q[2];
ry(-0.11329087791330916) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.36106641988098875) q[0];
cx q[2], q[0];
ry(1.4036650307254732) q[1];
cx q[0], q[1];
ry(-1.4036650307254... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIZZIIIII",
"IIIIZZIIIIII",
"IIIIZIZIIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIZIII... | [
-1.5,
-1.5,
-1.5,
-1,
-2,
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5
] | 0.970893 | [
-1.6176871407167641,
-0.8584049769276816,
-1.4417245510845298,
-0.020676477757594104,
-0.05225580699274948,
-0.04746530713279129,
1.5710170746213534,
0.5056990280717213,
2.0171468210839447,
0.22658175582661833,
0.7221328397619775,
2.8073300614509464,
-0.26152891476132467,
-0.07059013508866... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 472 |
88db82b281e553a316057249c291c2f0 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1000, 1002], "expectation_value": -0.5705419545032631, "params": [0.3013, -0.09140000000000001, 0.49660000000000004, -0.0504, 0.45130000000000003, 0.0088, 0.5012, 0.0066, 0.5024000000000001, 0.0213, 0.49760000000000004, 0.0634, 0.2691, 0.1302, 0.498, 0.0734, 0.3008, 0.1044, 0.42460000000000003, 0.091, 0.272... | 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(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 18 | 11 | 4 | {"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, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.25, "smallest_bitstrings": ["01001000101", "00101011000", "00110000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.02901302368530102) q[0];
rz(-0.2598228595523726) q[0];
rx(0.41948779045408124) q[1];
rz(-0.20717763396566863) q[1];
rx(0.5962678599760157) q[2];
rz(0.18054622282290922) q[2];
rx(1.2074841165746684) q[3];
rz(0.15055545469075332) q[3];
rx(0.5108577597682668) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIZIIIZIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IIZZIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.25,
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... | 0.974228 | [
0.029013023685301023,
-0.37467712167214084,
0.41948779045408124,
-0.20717763396566863,
0.5962678599760157,
0.18054622282290922,
1.2074841165746684,
0.15055545469075332,
0.5108577597682668,
-0.4453880594579994,
0.6564683963198464,
0.012170322637544778,
0.6145666603714796,
0.2942868746902721... | {
"n_parameters": 128,
"n_qubits": 11,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 86 |
7fd8a70c3a69e2479ad7cfee26a5ce21 | 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": [730, 722], "expectation_value": -92.37578215245674, "params": [0.29960000000000003, -0.0824, 0.8989, -0.0114, 0.5637, -0.1804, 0.7971, 0.014100000000000001, 0.8962, 0.0013000000000000002, -0.0196, 0.2677, 0.8923000000000001, -0.0381, 0.47440000000000004, -0.09720000000000001, 0.24480000000000002, 0.1534, 0.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(10) @ Z(9)) + 4.5 * Z(0) + 15.5 * Z(1) + 15.5 * Z(3) + -4.0 * Z(2) + 5.5 * Z(4) + -4.5 * Z... | 4 | 11 | 3 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["10100101101"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.4234278647353431) q[0];
rz(1.3258943175419295) q[0];
rx(0.7174082013219535) q[1];
rz(1.631672717239816) q[1];
rx(0.4700580212247658) q[2];
rz(1.17020894387713) q[2];
rx(0.9393084997330876) q[3];
rz(1.4550448839810768) q[3];
rx(1.0783475488623282) q[4];
rz(1.541750... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZZIIII",
"IIIZIIIIIZI",
"IIIZIIIZIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIZIIII... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
4.5,
15.5,
15.5,
-4,
5.5,
-4.5,
11,
8.5,
6.5,
-3.5,
2
] | 0.974169 | [
0.4234278647353431,
-0.2449020092529667,
0.7174082013219535,
0.06087639044491969,
0.47005802122476575,
-0.400587382917767,
0.9393084997330875,
-0.11575144281381974,
1.0783475488623282,
-0.029045485283813913,
0.10450632855940395,
0.25165508007353754,
0.846913380988545,
-0.061987220759627565... | {
"n_parameters": 94,
"n_qubits": 11,
"optimal_eigenvalue": -113.5,
"target_ratio": 0.97,
"target_value": -110.095
} | 22 |
3752093b82ed107b6f6f5e75324b3162 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [128, 127], "expectation_value": -0.1846037738981581, "params": [[-0.0663], [0.07690000000000001]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004684770112192182, 0.004771200248339541], "optimization_time": 2.341665506362915} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
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;
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[4]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
117d5eadcb002c843d1e10097e462227 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 48], "expectation_value": -3.0624053386490613, "params": null, "bitstrings": ["111111", "001111"], "total_optimization_steps": 17, "probabilities": [1.709568199031711e-05, 0.9999393873340369], "optimization_time": 25.914029836654663} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0625, "smallest_bitstrings": ["001111"], "largest_eigenvalue": 4.9375} | 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(-1.4868) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IIIZZZ",
"IZIIZZ",
"IIZIZZ",
"IZIZIZ",
"IIZZIZ",
"IZZIIZ",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZIZZZ",
"IIZZZZ",
"IZZIZZ",
"IZZZIZ",
"IZZZZI",
"IZZZZZ",
"ZII... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.5,
-0.0625,
-0.0625,
-0.5625,
... | 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 |
f037241cdd7dd8402f016eff944b50c3 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [992, 995], "expectation_value": -15.977242902815144, "params": null, "bitstrings": ["0000011111", "0000011100"], "total_optimization_steps": 100, "probabilities": [0.10815621430411525, 0.4797730641448215], "optimization_time": 248.37771034240723} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["0000011100"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.7449861913617337) q[0];
h q[1];
ry(0.5013619690208435) q[1];
h q[2];
ry(0.4985073387200384) q[2];
h q[3];
h q[4];
ry(0.7449861913617337) q[4];
cx q[3], q[4];
ry(-0.7449861913617337) q[4];
cx q[3], q[4];
cx q[4], q[1];
ry(-0.5013619690208435) q[1];
cx q[4],... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIZIIZ",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIIIZZI",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZIIIII",
"ZZIIIIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIZIIIIIII"... | [
-2,
-2.5,
-2.5,
-2.5,
1,
-2.5,
1,
0.5,
-2.5,
-2,
-2,
-2,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5
] | 0.939341 | [
1.4899723827234674,
1.002723938041687,
-0.5082054076790977,
0.9970146774400768,
-0.737749496566571,
1.2600741281548324,
0.0661144003481684,
1.6537146164132932,
-0.1192734051542857,
0.04902494948979217,
-0.10662978252969488,
0.057414071382408664,
-0.4897309204916645,
-0.026176496180003637,
... | {
"n_parameters": 69,
"n_qubits": 10,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 500 |
fc2a0aab6aa71710f421b73642e2514f | 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": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [143, 399], "expectation_value": -2.849799452797898, "params": [1.6705, 0.0002, 3.1607000000000003, 0.0036000000000000003, 0.5428000000000001, 0.0015, 0.0027, 0.0091, -0.0125, 0.0097, 3.16, 0.001, 3.1617, 0.0054, 3.1597, 0.0039000000000000003, 2.66, 0.0045000000000000005, 0.0097, 0.0083, 0.0091, 0.0067, 0.00... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.11242251953068062) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.11242251953068062) q[3];
cx q[0], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11242251953068062) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(0.1124225... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIZIIZIZI",
"IZIIIZIZI",
"IZZIIIIZI",
"IZZIIZIII",
"IZZIIZIZI",
"IIZIZIIII",
"ZIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0,
0.125,... | 0.886139 | [
0.11242251953068062,
0.7188618997790892,
-1.218608868119396,
0.06219707367807151,
-1.3014966604495342,
0.814754047515083,
-0.7136669890576299,
0.4534445368680647,
-0.6952065532198899,
0.5275019770757594,
0.01888035805324072,
-1.6254864120474146,
-0.7479707343602362,
0.5318744980053659,
0... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
-8737458266305815532 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6, 7], [1, 2, 6, 7], [1, 5], [1, 3, 6], [0, 1, 6], [0, 2, 3, 6], [0, 1, 2], [0, 3, 7], [2, 4]]} | {"states": [91, 167], "expectation_value": -1.7259564071701976, "params": [[[2.5972, 0.0023], [2.5999000000000003, 0.00030000000000000003], [2.5902000000000003, 0.0043], [0.5668000000000001, 0.0025], [2.591, 0.0025], [1.5403, 0.0001], [0.9740000000000001, 0.006200000000000001], [2.6075, 0.0099]]], "bitstrings": ["10100... | 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.41666666666666663 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(... | 2 | 8 | 1 | {"smallest_eigenvalues": [-2.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(3.0682675407856426) q[0];
rz(-0.15458193617904742) q[0];
rx(3.2549177353628864) q[1];
rz(0.37299317239741037) q[1];
rx(3.327850129248009) q[2];
rz(0.1496792982888124) q[2];
rx(-0.011154634549907515) q[3];
rz(0.1127005756470591) q[3];
rx(3.382923079654395) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IIIZIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZZI",
"IZIIZIII",
"ZIIIZIII",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIII... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.41666666666666663,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333... | 0.974021 | [
3.0682675407856426,
-0.15458193617904742,
3.2549177353628864,
0.37299317239741037,
3.327850129248009,
0.1496792982888124,
-0.011154634549907515,
0.1127005756470591,
3.382923079654395,
0.33309865077992934,
-0.1133939428372347,
-0.0370275830385261,
0.17367679280055737,
3.0320971060085076,
... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -2.749999999999999,
"target_ratio": 0.97,
"target_value": -2.667499999999999
} | 19 |
35eda900f849f65d0cff23e7af228cca | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 4, "s... | {"states": [256, 1], "expectation_value": -14.231954541516702, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 28, "probabilities": [0.1502183609908612, 0.830371738267924], "optimization_time": 32.9370641708374} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.7590292831518554) q[0];
h q[1];
ry(-1.5180585663037107) q[1];
h q[2];
ry(-1.5180585663037107) q[2];
h q[3];
ry(-1.5180585663037107) q[3];
ry(-0.03253979615737071) q[4];
rz(-pi) q[4];
h q[5];
ry(-1.5180585663037107) q[5];
ry(-0.02565996005199503) q[6];
rz(-... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIZZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"... | [
-0.75,
-0.75,
-0.5,
-0.25,
1.75,
-1,
-0.75,
-1.5,
-0.25,
-1,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.75,
-0.25,
0.25,
-0.25,
-1.75,
0.75,
1.5,
-0.75,
-1.25,
1,
0.5
] | 0.944216 | [
-1.5180585663037107,
1.570796361966778,
-0.8117670078046326,
-1.5057166941585869,
-1.5194764984840505,
-0.051319736517702254,
-0.06507967295787837,
-0.06507988172230492,
-0.05132031841585518
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -15.25,
"target_ratio": 0.97,
"target_value": -14.7925
} | 194 |
7c7664cb9cb13a35da50c3201e32fb16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 6}, {"weight": 16, "source": 1, "target": 2}, {... | {"states": [229, 117], "expectation_value": -15.658449652910985, "params": [[-0.0386, -0.0033], [0.0732, 0.07680000000000001]], "bitstrings": ["00011010", "10001010"], "total_optimization_steps": 10, "probabilities": [0.011939254834425794, 0.013722782948770683], "optimization_time": 2.6059978008270264} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 6.0 * Z(0) + 9.5 * Z(3) + 16.0 * Z(2) + 5.0 * Z(4) + 7.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 113.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.03443378752785541) q[0];
rz(-0.13110126421031687) q[0];
rx(0.1780229093399017) q[1];
rz(-0.1841110151175016) q[1];
rx(0.3258424952178776) q[2];
rz(0.019690802414419117) q[2];
rx(-0.1573527638739795) q[3];
rz(-0.15564052018377517) q[3];
rx(0.41048682556123217) 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", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIZZIIII",
"IZZIIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
6,
9.5,
16,
5,
7,
5,
9
] | 0.983075 | [
-0.03443378752785541,
-0.07317377189750467,
0.1780229093399017,
-0.1000308368391451,
0.3258424952178776,
-0.025638991230291522,
-0.1573527638739795,
-0.2109726450679203,
0.4104868255612321,
-0.02896349377971935,
-0.10942550014263858,
0.023168782610153135,
0.146783244140875,
0.2167996115517... | {
"n_parameters": 135,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 11 |
797741253394724258 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [2, 3], [4, 5], [3, 5], [1, 4], [3, 4], [0, 3]]} | {"states": [20, 43], "expectation_value": -0.026099120075018474, "params": [[0.0494], [-0.038]], "bitstrings": ["101011", "010100"], "total_optimization_steps": 10, "probabilities": [0.016212862454104107, 0.016212862454104107], "optimization_time": 0.495772123336792} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["010100", "101011"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(0.6058448026915298) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(0.6058448026915298) q[3];
cx q[5], q[3];
cx q[3], q[2];
rz(0.6058448026915298) q[2];
cx q[3], q[2];
rz(2.3281518490847475e-08) q[2];
rx(-0.669649... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[5], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} | [
"ZIIIZI",
"ZIZIII",
"IIZZII",
"ZZIIII",
"IZIIZI",
"IZZIII",
"IIZIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IIIZII",
"IZIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.447231 | [
0.6058448026915298,
2.3281518494341214e-8,
-0.6696497527393713
] | {
"n_parameters": 3,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 99 |
392b154462228110f09dc61957853e25 | 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": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "... | {"states": [0, 4080], "expectation_value": -39.640237728532654, "params": [[[0.0022, 0.0055000000000000005], [0.0027, 0.0085], [0.0026000000000000003, 0.0076], [0.0026000000000000003, 0.0081], [0.0027, 0.0082], [0.0023, 0.0076], [0.0027, 0.007500000000000001], [1.606, 0.002], [-0.003, 0.0026000000000000003], [-0.002900... | -2.0 * (Z(0) @ Z(2)) + -4.0 * (Z(7) @ Z(2)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -4.0 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(7)) + -3.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(7)) + -3.0 * (Z(5) @ Z(1)) + 1.5 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-43.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -42.5, "smallest_bitstrings": ["000000001111"], "largest_eigenvalue": 38.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.17045088194013658) q[0];
rz(-0.26017034492953645) q[0];
rx(0.011767150784515547) q[1];
rz(-0.30638977851027693) q[1];
rx(0.046717590819307764) q[2];
rz(-0.19998562335052977) q[2];
rx(0.046717590819307764) q[3];
rz(-0.1745330285276892) q[3];
rx(0.01176715078451554... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIZIIIIIZI",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIZIIZIIII",
"IIIIIIIZIIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIZIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIZZIII... | [
-2,
-4,
-3.5,
1,
0.5,
-4,
0.5,
0.5,
-3.5,
-3,
0.5,
0.5,
-3.5,
-3,
1.5,
-2.5,
0.5,
1,
-3,
0.5,
0.5,
0.5,
0.5,
-3.5,
1.5,
-2.5,
-2.5,
-2,
1,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-2,
1
] | 0.973699 | [
-0.17045088194013658,
-0.26017034492953645,
0.011767150784515547,
-0.30638977851027693,
0.046717590819307764,
-0.19998562335052977,
-0.1745330285276892,
-0.03464799554042494,
0.008006306416919847,
0.3058282688715533,
2.5476385210735004,
0.4278962728840301,
0.2380258336694158,
0.10440513709... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -43.5,
"target_ratio": 0.97,
"target_value": -42.195
} | 11 |
a496643cb2e08d855373b91d187c0135 | 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": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -7.040224042496085, "params": [[0.0621], [-0.0707]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.007953437534421518, 0.008719057928539227], "optimization_time": 1.5813789367675781} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.013073846050879977) q[1];
cx q[0], q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.013073846050879977) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.013073846050879977) q[3];
cx q[2], q[3];
rz(-1.577151906161621) q[2];
rx(-1.558957801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[1];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
3,
6,
1.5,
10,
10.5,
10.5,
8,
12
] | 0.980179 | [
-0.013073846050879977,
-1.2914686192920426,
1.5897659140495197,
-1.5771519061616204,
1.2839791499377913,
1.711496406988009,
-1.3676435003029348,
1.5144477928027038,
-1.5589578012410836
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 34 |
6771b778b0f6a5f528500d957ca14d09 | 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": [682, 681], "expectation_value": -103.29907422021272, "params": [[[0.9079, 0.0019], [0.1436, -0.0059], [0.7198, -0.0123], [0.0333, -0.0256], [0.732, 0.0296], [0.1022, 0.0362], [0.8269000000000001, 0.37160000000000004], [-0.1106, 0.43660000000000004], [0.8037000000000001, 0.7919], [0.305, -0.2675]], [[0.6705,... | 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(2)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(9) @ Z(0)) + 6.0 * (Z(9) @ Z(8)) + 22.0 * Z(0) + 21.0 * Z(2) + 2.5 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["0101010110"], "largest_eigenvalue": 164.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.71527956322697) q[0];
ry(0.18241547377065442) q[1];
ry(1.2730116026119673) q[2];
ry(0.05040298534722133) q[3];
ry(0.8619046078111914) q[4];
ry(0.22494226048934834) q[5];
ry(0.8767941422670104) q[6];
ry(-0.06785988006324416) q[7];
ry(0.7892404449258545) q[8];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZZIIII",
"IIZIIIIZII",
"IIZZIIIIII",
"IZIIIIIIIZ",
"ZIIIIIIIIZ",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
22,
21,
2.5,
20,
13.5,
-3.5,
3,
0.5,
1,
6
] | 0.970518 | [
0.71527956322697,
0.18241547377065442,
1.2730116026119673,
0.05040298534722133,
0.8619046078111914,
0.22494226048934834,
0.8767941422670104,
-0.06785988006324416,
0.7892404449258545,
0.16834630794661493,
0.032333133843519296,
0.02080444310798996,
0.04428542828836836,
0.04813998150614826,
... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -109,
"target_ratio": 0.97,
"target_value": -105.73
} | 88 |
9aafe0580999b1b0b4b8e8eda0d2bc18 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [126, 124], "expectation_value": -37.37766602902659, "params": [[0.0302, 0.004200000000000001, -0.0036000000000000003, -0.0131], [-0.08320000000000001, -0.0805, -0.0789, -0.06520000000000001]], "bitstrings": ["10000001", "10000011"], "total_optimization_steps": 10, "probabilities": [0.021745494758017438, 0.0... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 154.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.008488357935385014) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.008488357935385014) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.008488357935385014) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.008488357935385014) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
18,
12,
19.5,
12.5,
14,
13,
11.5,
-2
] | 0.975971 | [
-0.008488357935385014,
1.2282148178064172,
-0.8433163024275433,
1.9725853102242956,
0.7728853189660121,
1.8680963585552939,
1.0323223109501083,
-1.0872816684056126,
-1.4919523916296222,
-1.1032332760214447,
0.051606515557825625,
0.9174931232599342,
-0.7487650083959976,
-0.9471809696574603,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -69.5,
"target_ratio": 0.97,
"target_value": -67.41499999999999
} | 87 |
549ddf61b33c747b7d039a2118793eec | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "ta... | {"states": [127, 119], "expectation_value": -0.5493032297331659, "params": [[-0.0704], [0.0699]], "bitstrings": ["0000000", "0001000"], "total_optimization_steps": 10, "probabilities": [0.011150862552918889, 0.011371620547483429], "optimization_time": 1.0374903678894043} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(3) | 5 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0001000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.06616974502287365) q[0];
ry(-0.01217220851318944) q[1];
ry(0.043602881688537334) q[2];
ry(-2.0733318929166966) q[3];
ry(0.14013504785004716) q[4];
ry(-0.0047168065748929245) q[5];
ry(0.0034084174370931824) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIZIII"
] | [
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971722 | [
0.06616974502287365,
-0.01217220851318944,
0.043602881688537334,
-2.0733318929166966,
0.14013504785004716,
-0.0047168065748929245,
0.0034084174370931824,
3.2375834599948186,
0.014423834630379575,
-0.07832767106901686,
-0.04434139838083944,
-0.09502719019849129
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 14 |
-8264363591778796196 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 5], [0, 4, 5, 6, 7], [2, 3, 5], [3, 4, 5], [1, 3, 6, 7], [1, 2, 3, 4, 7], [0, 1, 2, 5, 6], [0, 2, 4], [1, 2, 5, 7]]} | {"states": [122, 110], "expectation_value": -0.07193969750545004, "params": [[0.0649], [-0.0587]], "bitstrings": ["10000101", "10010001"], "total_optimization_steps": 10, "probabilities": [0.00409268273713627, 0.004104979760045112], "optimization_time": 1.0122103691101074} | 0.3 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(1)) + 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(0) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.05 * (Z(4) @ Z(1)) + 0.21666666666666667 * (Z(4) @ Z(5)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.350000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.183333333333334, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.05617395636356359) q[1];
cx q[3], q[1];
h q[4];
h q[5];
cx q[3], q[5];
rz(2.5228307863947355) q[5];
cx q[3], q[5];
cx q[1], q[5];
cx q[3], q[4];
rz(-0.0033563407333591262) q[4];
cx q[3], q[4];
rz(-0.05617395636356359)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"IIZIZIII",
"IIZIIIZI",
"IIIIIIZZ",
"IIZIIIIZ",
"IIIZZIII",
"IIIZIIZI",
"IIZZIIII",
"IIIZIIIZ",
"IZIIZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIIIZ",
"IZIZIIII",
"ZIIIZIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZZIIIIII",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZI... | [
0.3,
0.5,
0.3,
0.05,
0.1,
0.21666666666666667,
0.05,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.13333333333333333,
0.1,
0.1,
0.05,
0.13333333333333333,
0.21666666666666667,
0.13333333333333333,
0.05,
0.1,
0.13333333333333333,
0.21666666666666667,
0.183... | 0.97596 | [
-0.05617395636356359,
2.5228307863947355,
-0.06406056456442688,
0.01961532756506045,
-0.0033563407333591262,
-0.10681169213436775,
-0.03361899572902233,
-0.08093886627101132,
1.5476508525201704,
1.5564474537446622,
-1.559465093055104,
-1.7183181752855152,
1.4660236247890157,
1.533740433607... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -2.350000000000001,
"target_ratio": 0.97,
"target_value": -2.279500000000001
} | 99 |
-1582324262153445923 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 6, 8], [8, 1], [2, 5, 7], [8, 4, 5, 7], [0, 1, 5, 7], [0, 2, 4, 5, 8]]} | {"states": [335, 271], "expectation_value": -1.1687096518707598, "params": [1.2917, 1.2955, 0.3512, 0.2872, 0.7165, 0.8381000000000001, 0.7495, 0.6896, 0.7237, 0.787, 1.2885, 1.2915, 0.7653000000000001, 0.6809000000000001, 1.2864, 1.1822000000000001, 1.2904, 1.2894, 0.9446, 1.0719, -0.2376, 0.7947000000000001, 1.2867, ... | 0.1 * (Z(0) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(3)) + 0.1 * (Z(8) @ Z(2)) + 0.1 * (Z(8) @ Z(0)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.21666666666666667 * (Z(5) @ Z(2... | 14 | 9 | 1 | {"smallest_eigenvalues": [-1.7333333333333332, -1.7333333333333332, -1.7333333333333332], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.6500000000000006, "smallest_bitstrings": ["011010000", "011110000", "011010100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5958009719676398) q[0];
rz(pi/2) q[0];
ry(-0.04267281589257609) q[1];
ry(0.055512985462901746) q[2];
ry(0.5550360423814423) q[3];
ry(-0.6529587633823345) q[4];
ry(1.9052183197576056) q[5];
ry(0.8948425737710791) q[6];
ry(1.51621812910519) q[7];
ry(1.08729203408636)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIIZIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIZIIIIII",
"IIIIIIIZZ",
"ZIIIIIIZI",
"IIIZIIZII",
"IIIZIIIIZ",
"ZIIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIIIIZ",
"ZZIIIIIII",
"IZIIIIIZI",
"IZIZIIIII",
"... | [
0.1,
0.05,
0.05,
0.05,
0.05,
0.05,
0.1,
0.1,
0.05,
0.05,
0.08333333333333333,
0.5,
0.21666666666666667,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.3333333333333333,
0.0... | 0.973354 | [
1.5958009719676398,
-0.04267281589257609,
0.055512985462901746,
0.5550360423814423,
-0.6529587633823345,
1.9052183197576056,
0.8948425737710791,
1.51621812910519,
1.08729203408636,
0.7025066498136131,
0.7981564989401535,
1.8022895925233895,
0.14282806744365095,
-0.00595513993133758,
0.26... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -1.7333333333333332,
"target_ratio": 0.97,
"target_value": -1.6813333333333331
} | 39 |
1d5830a984622eead42a5eae40078f2f | 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": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [90, 82], "expectation_value": -3.134310348332846, "params": [0.404, 0.4068, 0.0022, 0.0, 0.40650000000000003, 0.40090000000000003, 0.2528, 0.2503, 0.008400000000000001, 0.0013000000000000002, 0.2727, 0.2758, 0.0038, -0.0012000000000000001, 0.40340000000000004, 0.40650000000000003, 0.0011, -0.0001, 0.4077, 0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(2)) + -0.125 * (Z(0) @ Z(2) ... | 13 | 7 | 3 | {"smallest_eigenvalues": [-3.875, -3.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.875, "smallest_bitstrings": ["0100111", "0101101"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3489169545147741) q[0];
rz(0.19904142919526457) q[0];
ry(-0.010000419084834976) q[1];
ry(0.7018807777533977) q[2];
ry(0.1334916632691144) q[3];
ry(0.14345604641563403) q[4];
ry(-0.25925629263809963) q[5];
ry(-0.16211681254208915) q[6];
cx q[6], q[0];
rz(-0.19904142... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"IIZZZII",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"IZIIZIZ",
"ZIIIZIZ",
"ZZIIIIZ",
"ZZIIZII",
"ZZIIZIZ",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
-1,
-0.125,
0.125,
-0.25,
-0.75,
-0.125,
-0.625
] | 0.983285 | [
0.3489169545147741,
-0.010000419084834976,
0.7018807777533977,
0.1334916632691144,
0.14345604641563403,
-0.25925629263809963,
-0.16211681254208915,
0.39808285839052915,
0.18678482838336213,
0.007416060566003385,
0.5559541478011963,
-0.11684483584027172,
0.269108552615918,
0.055465068797176... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 13 |
ffaba4815bf0e67a2be83da1ce70c0be | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {... | {"states": [238, 110], "expectation_value": -28.631395299280385, "params": [[-0.028800000000000003, -0.0055000000000000005, 0.0143], [0.0636, 0.063, 0.0555]], "bitstrings": ["00010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013258020409381392, 0.01602281006477494], "optimization_time": 8.6883... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 177.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0349012653459121) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0349012653459121) q[2];
cx q[0], q[2];
rz(1.372511651455401) q[0];
rx(1.1550885163993503) q[0];
h q[3];
cx q[2], q[3];
rz(0.0349012653459121) q[3];
cx q[2], q[3];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
17.5,
5,
15,
8.5,
15.5,
17.5,
25.5,
8.5
] | 0.971849 | [
0.0349012653459121,
-1.375125390584539,
1.3725116514554008,
-1.4287899300033384,
1.2895946225666228,
-1.205398916477897,
-1.7835398268220337,
1.1550885163993505,
0.19838963590148706,
-0.1330776885834662,
1.1425666744981,
-0.6695777425615023,
0.9768533727563294,
-0.8054055175533561,
0.233... | {
"n_parameters": 16,
"n_qubits": 8,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 32 |
b5910a324f048b27c641d80d330b3d22 | 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": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 2}, {"weight": 16, "sourc... | {"states": [482, 418], "expectation_value": -35.2458217188932, "params": [1.8960000000000001, 0.0098, 1.8982, 0.0021000000000000003, 1.4742000000000002, 0.0098, 1.9035000000000002, 0.0025, 0.672, 0.0007, -0.002, 0.0082, -0.0024000000000000002, 0.0037, 1.9091, 0.007, 0.0032, 0.0016, 0.0089, 0.0057, 0.0026000000000000003... | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 0.5 * Z(3) + 8.0 * Z(0) + 2.0 * Z(2) + 0.5 * Z(1) + -6.5... | 3 | 9 | 1 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001011101"], "largest_eigenvalue": 83.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-3.0230528252523254) q[0];
rz(-0.24616927729232785) q[0];
rx(2.726952600020538) q[1];
rz(0.20967712310529762) q[1];
rx(0.16731715026019806) q[2];
rz(0.2179038527878583) q[2];
rx(2.7075712423424703) q[3];
rz(-0.12563495328522567) q[3];
rx(0.5311810871584818) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIZIIIZ",
"IIIZIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
0.5,
8,
2,
0.5,
-6.5,
-10,
-9,
-1,
-7.5
] | 0.974507 | [
3.2601324819272612,
-0.0417916395581471,
2.726952600020538,
0.5047827301836354,
0.167317150260198,
2.7075712423424703,
-0.14566130832760596,
0.5311810871584817,
0.8245777335762322,
-0.09258703754343031,
-0.5134090438864464,
0.18344009705858688,
-0.2241314787681522,
3.0467667010793504,
-0... | {
"n_parameters": 24,
"n_qubits": 9,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 17 |
-6498693962628378925 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3], [1, 3], [0, 2, 4], [0, 3, 6], [4, 5], [0, 5], [3, 4], [2, 6], [4, 6], [1, 4], [0, 1]]} | {"states": [84, 92], "expectation_value": -1.332259804045117, "params": [[-0.3642], [0.3562]], "bitstrings": ["0101011", "0100011"], "total_optimization_steps": 40, "probabilities": [0.0313430898362288, 0.033175113756297815], "optimization_time": 2.3744375705718994} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["0100011"], "largest_eigenvalue": 7.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.5828828116842175) q[0];
h q[1];
ry(-0.3730791705665622) q[1];
cx q[0], q[1];
ry(0.3730791705665622) q[1];
cx q[0], q[1];
ry(-0.5766775659359481) q[1];
h q[2];
ry(1.1860772456121123) q[2];
ry(-2.396310345987442) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.3730... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIIZZ",
"IIIZIZI",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IZIIIIZ",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.3333333333333333,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.33333333333333326,
0.5,
0.3333333333333335,
0,
0.16666666666666652,
0.16666666666666674,
... | 0.971111 | [
1.5828828116842175,
-0.7461583411331244,
1.386350804089787,
-0.8712070955391973,
-1.406749842251171,
1.1860772456121123,
0.16596763695492237,
-0.5458997698792122,
0.527840185032664,
-0.4660909728800985,
0.5953476683197624,
0.13360400301041336,
0.3763711007497137,
-0.27352482209897067,
0.... | {
"n_parameters": 29,
"n_qubits": 7,
"optimal_eigenvalue": -3.333333333333333,
"target_ratio": 0.97,
"target_value": -3.233333333333333
} | 15 |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [2, 0], "expectation_value": -2.1123752360149437, "params": null, "bitstrings": ["1101", "1111"], "total_optimization_steps": 5, "probabilities": [0.003925267827143744, 0.9874310668157752], "optimization_time": 3.2449398040771484} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + -0.625 * Z... | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"], "largest_eigenvalue": 3.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(-0.057394609977100594) q[0];
ry(1.5139044986832286) q[1];
ry(0.02914218421175388) q[2];
ry(-0.044368933537627414) q[3];
ry(1.4230068144719492) q[4];
ry(-0.11603950978641897) q[5];
ry(-0.5094548802261205) q[6];
ry(0.04971594069488461) q[7];
ry(0.04895829829331563) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5158) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"ZZII",
"IZZZ",
"ZIZZ",
"ZZIZ",
"ZZZI",
"ZZZZ",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
-0.625,
-0.625,
-0.625,
-0.625
] | 0.971723 | [
-0.057394609977100594,
1.5139044986832286,
0.02914218421175388,
-0.044368933537627414,
1.4230068144719492,
-0.11603950978641897,
-0.5094548802261205,
0.04971594069488461,
0.04895829829331563,
-0.1877934380534667,
1.2428533808206035,
0.09499352879649384,
2.05426296872183,
0.0193934036593824... | {
"n_parameters": 30,
"n_qubits": 15,
"optimal_eigenvalue": -7.999999999999979,
"target_ratio": 0.97,
"target_value": -7.759999999999979
} | 54 |
312149616102149104 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2], [2, 4], [0, 4], [8, 1], [3, 7], [4, 5], [5, 6]]} | {"states": [488, 458], "expectation_value": -3.112942356541457, "params": null, "bitstrings": ["000010111", "000110101"], "total_optimization_steps": 76, "probabilities": [0.050569984028084825, 0.7237958058018791], "optimization_time": 121.35885739326477} | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["111101000", "111001010", "000110101", "000010111"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-0.037632809805748686) q[3];
h q[4];
ry(-0.037632809805748686) q[4];
h q[5];
cx q[5], q[4];
ry(0.037632809805748686) q[4];
cx q[5], q[4];
ry(-0.14058163531382534) q[4];
cx q[0], q[4];
ry(0.14058163531382534) q[4];
cx q[0], q[4];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIIIZII",
"IIIIZIZII",
"IIIIZIIIZ",
"ZIIIIIIZI",
"IZIIIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974881 | [
-0.07526561961149737,
1.450106339790286,
-0.41618991911211556,
0.8883615717481722,
-0.6826621947775289,
-0.2811632706276507,
1.5436965248650485,
-1.487062162900506,
0.9458510127620183,
-0.7518217533583227,
0.2171989518126349,
0.04336031967130474,
0.5020247353553561,
-0.936463558893479,
0... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 22 |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [167, 239], "expectation_value": -6.491430256834278, "params": [[-0.0863], [0.2686]], "bitstrings": ["101011000", "100010000"], "total_optimization_steps": 30, "probabilities": [0.005929482995445476, 0.005957987333261868], "optimization_time": 5.903924465179443} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"], "largest_eigenvalue": 55.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.08561040186494705) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.08561040186494705) q[3];
cx q[2], q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.13032020170893938) q[0];
cx q[2], q[0];
rz(-0.13032020170893938) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIZII",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IZIIZIIII",
"ZIIIZIIII",
"... | [
2,
2,
1,
1,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
0.5,
0.5,
0.5,
1,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-2,
-1,
-1,
-1,
-1,
-1,
1,
-3,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
1.5,
3,
5,
2.5,
2.5,
0,
1.5,
1.5,
-0.5,
-1,
-1.5
] | 0.69852 | [
-0.08561040186494705,
-0.13032020170893938,
-0.09293795236063519,
-0.1836712523285487,
0.1609684499092548,
-0.012457635001121998,
-0.0033797729801731662,
0.12930263904239359,
-0.05240497445492781,
-1.5648064933444994,
-1.5025379725146595,
-1.0821352790424412,
1.4484250023356933,
0.98938625... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 296 |
4b58c5f638de8a7d9440a4e0a8e21441 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target":... | {"states": [1023, 1019], "expectation_value": -12.771656180397938, "params": [[[-0.0108, 0.7416], [-0.0051, -0.0038], [0.0026000000000000003, 0.002], [0.003, 0.002], [0.0026000000000000003, 0.0022], [0.0029000000000000002, 0.0023], [0.0031000000000000003, 0.0021000000000000003], [0.0152, 0.0028], [-1.0154, -0.1558], [-... | -0.75 * (Z(0) @ Z(8)) + -0.25 * (Z(1) @ Z(8)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(10) @ Z(8)) + -1.0 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(5)) + 1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(9)) + -0.25 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["10000000100"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.21107121842922033) q[0];
ry(0.18916096343815425) q[1];
ry(0.06600465295445102) q[2];
ry(0.04718456337755721) q[3];
ry(0.06600465295445102) q[4];
ry(0.1081952050797346) q[5];
ry(-0.010618752628568297) q[6];
ry(0.005766764120116126) q[7];
ry(-1.487394369933252) q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIZ",
"IIZIIIIIIZI",
"IIIIZIIIIZI",
"IZIIIIIIIZI",
"IIIIZIIZIII",
"IZIIIZIIIII",
"IIIIIZIZIII",
"ZIZIIIIIIII",
"ZIIIZIIIIII",
"ZIIIIIIZIII",
"ZIIIIZIIIII",
"IIIIIIIIZIZ",
"IZIIIIIIZII",
"IIIIIIIZZII",
"IIIIZIZIIII",
"IZIIIIZIIII",
"ZIIIIIZIIII",
"IIIIIIZIZII",
"IZIZIIIII... | [
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.75,
-1,
-0.25,
-0.5,
1,
-1,
-0.25,
-0.25,
-1,
-2,
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
0.5,
1,
-1.25,
0.25,
0.5,
-1,
-1,
1.25,
1.25
] | 0.973747 | [
0.21107121842922033,
0.18916096343815425,
0.06600465295445102,
0.04718456337755721,
0.1081952050797346,
-0.010618752628568297,
0.005766764120116126,
-1.487394369933252,
-0.6186505253602084,
0.05601349886846345,
0.46173926812550947,
0.03142391737470687,
-0.004241002603236191,
-0.03150147020... | {
"n_parameters": 69,
"n_qubits": 11,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 55 |
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