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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
01c509cf41fe904ef36f9c73fa58f4df | 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": 4, "source": 0, "t... | {"states": [206, 110], "expectation_value": -16.476907733765216, "params": [[-0.038400000000000004, 0.0789], [0.0813, -0.0477]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.010260684755651823, 0.011970242041450706], "optimization_time": 3.084613084793091} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 134.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(1.6067730635277808) q[0];
ry(0.0068978171400194965) q[0];
rz(-2.165295187823308) q[0];
rz(-0.9320305873596415) q[1];
ry(2.9546423754659843) q[1];
rz(1.5962878589443843) q[1];
rz(1.94887746650212) q[2];
ry(0.10017209095800164) q[2];
rz(-2.4547303306903094) q[2];
rz(-2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIZII",
"IZZIIIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"IIZZIIII",
"IZIZIIII",
"IIIZZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
10,
2,
13,
17.5,
10.5,
10,
16.5,
0.5
] | 0.977898 | [
0.0034511417619457353,
0.07195304533925116,
1.2739833284948667,
-0.123054125877101,
0.005011551244307841,
0.3973837165633978,
1.905775237438528,
0.06934632738707407,
-0.07347402081215618,
0.21084071151892464,
0.02816020830904334,
-0.5182778496141923,
1.303011955708514,
0.0862986415836879,
... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 24 |
75b2b49bf8a153c97d838ff6c1f36ee5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 5, "source": 0, "t... | {"states": [123, 109], "expectation_value": -34.29038027272148, "params": [[-0.0342, -0.0064, 0.0018000000000000002, 0.0031000000000000003], [0.0762, 0.0737, 0.0664, 0.0499]], "bitstrings": ["10000100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.021461455485440626, 0.025813053294713496], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.913405650680868) q[0];
rz(-0.020577266484854473) q[0];
rx(2.913405650680868) q[1];
rz(0.018304067849897798) q[1];
rx(-0.037846667829205746) q[2];
rz(0.1102035930599623) q[2];
rx(0.0013998007349523903) q[3];
rz(0.5015043177824037) q[3];
rx(0.2531958520905692) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16.5,
7,
11,
5,
16.5,
20,
12,
13.5
] | 0.986362 | [
2.913405650680868,
-0.033119404079733517,
-0.10992226302707359,
-0.03784666782920576,
-0.0270841561830095,
0.0013998007349523903,
0.5423397956466044,
0.2531958520905692,
-0.4835134495306451,
3.0855030048491776,
0.30670917393717884,
3.327040016346024,
0.0788732160694183,
-0.0032392196512411... | {
"n_parameters": 21,
"n_qubits": 8,
"optimal_eigenvalue": -53.5,
"target_ratio": 0.97,
"target_value": -51.894999999999996
} | 15 |
e7bc699c35b1120df8b5c2c20348ae08 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": ... | {"states": [272, 276], "expectation_value": -19.585973149668497, "params": [0.004, 0.0016, -0.0045000000000000005, 0.0026000000000000003, 0.00030000000000000003, -0.006900000000000001, -0.39530000000000004, -0.3905, -0.0002, -0.0047, -0.0008, -0.0068000000000000005, -0.0028, -0.0024000000000000002, 0.3909, 0.3806, -0.0... | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(4)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.5 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(8)) + -1.5 * (Z(2) @ Z(4)) + 2.25 * (Z(3) @ Z(0)) + -0.75 * (Z(... | 14 | 12 | 4 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.75, "smallest_bitstrings": ["111011101011"], "largest_eigenvalue": 34.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.055646379769937665) q[0];
rz(pi/2) q[0];
ry(0.13412753473506903) q[1];
ry(-0.0984600708175963) q[2];
ry(0.7051176300345915) q[3];
ry(0.023505927614125233) q[4];
ry(-0.041729942059274695) q[5];
ry(0.014430979895287757) q[6];
ry(0.2967934397206087) q[7];
ry(0.066482... | 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",
"IIIIIIIZIIIZ",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"ZIIIIIIIIIZI",
"IIIZIIIZIIII",
"IIIZIZIIIIII",
"IIZIIIIZIIII",
"IIZIIZIIIIII",
"IZIIIIIZIIII",
"IZIZIIIIIIII",
"IIIIIIIZIZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIZIIIIIZIII",
"IIIIIZZIIIII",
"ZIIIIIZIIIII",
"IIIZIIZII... | [
-0.75,
-1.25,
-1,
-1.75,
-0.5,
-0.25,
-0.75,
-1,
-0.25,
-1.5,
-0.25,
-1.5,
2.25,
-0.75,
-1.25,
-0.75,
-0.25,
-1.25,
-1,
-1,
-1,
-1.25,
-0.75,
0.75,
-0.25,
1.5,
-3,
-0.25,
-1.5,
0.5,
-1.25,
-1.25,
-0.5,
1.25,
4
] | 0.972146 | [
0.055646379769937665,
0.13412753473506903,
-0.0984600708175963,
0.7051176300345915,
0.023505927614125233,
-0.041729942059274695,
0.014430979895287757,
0.2967934397206087,
0.06648216312964361,
-0.6143288318545329,
0.09711885484921542,
0.008412833129762445,
0.5247706511425346,
0.406522214599... | {
"n_parameters": 129,
"n_qubits": 12,
"optimal_eigenvalue": -19.75,
"target_ratio": 0.97,
"target_value": -19.1575
} | 10 |
-7794803646253637882 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3, 5, 6, 7, 8, 9], [0, 1, 2, 3, 4, 5, 7, 8, 9], [0, 2, 3, 6, 7, 9], [0, 4, 6, 7, 8]]} | {"states": [509, 381], "expectation_value": -0.7417628447790627, "params": [-0.0025, -0.0025, 1.1158000000000001, 2.0198, 0.7492000000000001, 0.7408, 1.5724, 1.574, 1.5694000000000001, 1.5671000000000002, 1.5768, 1.5698, 1.5674000000000001, 1.5699, 1.5736, 1.5726, 0.09870000000000001, -0.0689, 1.5731000000000002, 1.563... | 0.07103174603174603 * (Z(0) @ Z(3)) + 0.037698412698412696 * (Z(5) @ Z(3)) + 0.037698412698412696 * (Z(5) @ Z(0)) + 0.05714285714285714 * (Z(6) @ Z(3)) + 0.10714285714285715 * (Z(6) @ Z(0)) + 0.023809523809523808 * (Z(6) @ Z(5)) + 0.07103174603174603 * (Z(7) @ Z(3)) + 0.12103174603174603 * (Z(7) @ Z(0)) + 0.03769841269... | 13 | 10 | 1 | {"smallest_eigenvalues": [-0.7571428571428575], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.7571428571428572, "smallest_bitstrings": ["1010000010"], "largest_eigenvalue": 3.9999999999999987} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.06593607178389459) q[0];
rz(0.04903360361516329) q[0];
ry(1.1206335755225512) q[1];
ry(0.6224932065161568) q[2];
ry(1.616411278708195) q[3];
ry(1.572524753438744) q[4];
ry(1.7612619792928972) q[5];
ry(1.531449849508143) q[6];
ry(1.5129586310000858) q[7];
ry(0.164... | OPENQASM 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": []} | [
"IIIIIIZIIZ",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIZZIIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIIIIIZ",
"IZIIZIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIZIIIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
0.07103174603174603,
0.037698412698412696,
0.037698412698412696,
0.05714285714285714,
0.10714285714285715,
0.023809523809523808,
0.07103174603174603,
0.12103174603174603,
0.037698412698412696,
0.10714285714285715,
0.037698412698412696,
0.08769841269841269,
0.037698412698412696,
0.073809523... | 0.977788 | [
-0.06593607178389459,
1.1206335755225512,
0.6224932065161568,
1.616411278708195,
1.572524753438744,
1.7612619792928972,
1.531449849508143,
1.5129586310000858,
0.16453269750048144,
1.4906657630903584,
0.09806720723032658,
1.768523136340305,
0.18031149628793317,
0.06624621315082738,
-0.078... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -0.7571428571428575,
"target_ratio": 0.97,
"target_value": -0.7344285714285717
} | 1 |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 11], "expectation_value": -0.4317248481500889, "params": [[0.0718, 0.067, 0.046900000000000004, 0.0413], [-0.08080000000000001, -0.07690000000000001, -0.0526, -0.0405]], "bitstrings": ["001011", "110100"], "total_optimization_steps": 10, "probabilities": [0.02691055183477197, 0.02691055183477204], "opti... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
1e8eda70963a542719de9c9e93de4b5d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": ... | {"states": [258, 262], "expectation_value": -18.460920464820084, "params": [0.0005, -0.0029000000000000002, -0.0059, -0.0076, -0.0082, -0.0019, 0.3027, 0.3049, -0.0044, -0.0016, 0.00030000000000000003, -0.0039000000000000003, -0.0044, 0.0022, -0.0028, -0.0053, -0.0027, 0.0011, 0.2896, 0.2968, 0.2908, 0.2865000000000000... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(1) @ Z(8)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) ... | 14 | 12 | 3 | {"smallest_eigenvalues": [-21.25, -21.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["111011111001", "111011111101"], "largest_eigenvalue": 22.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.03476591865861654) q[0];
rz(1.9570487491394992) q[0];
rx(-0.06201772275285634) q[1];
rz(1.3378609438728013) q[1];
rx(-0.1025729556225086) q[2];
rz(1.9695427859486898) q[2];
rx(0.7881709612814095) q[3];
rz(1.3031255824584296) q[3];
rx(-0.12710683926095898) 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": []} | [
"IIIIIIIZIIIZ",
"IIIIZIIIIIIZ",
"IIIZIIIZIIII",
"IIIZIIIIIIIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIZI",
"IIIZIIIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIIZIZII",
"IIIIZIIIIZII",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIZI",
"IIIIIZIII... | [
-0.75,
-0.5,
-0.25,
-0.75,
2.25,
-0.5,
-0.75,
-0.75,
-0.25,
-1,
-0.25,
-1,
-1.25,
-1,
-0.25,
-1.25,
-0.5,
-1.75,
-0.75,
-0.5,
-0.25,
-1,
-0.25,
-1,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
0.5,
0.25,
-1.75,
0.25,
0.25,
-0.5,
-1,
1,
3.25
] | 0.970238 | [
0.03476591865861654,
0.3862524223446028,
-0.062017722752856344,
-0.2329353829220962,
-0.1025729556225086,
0.39874645915379325,
0.7881709612814095,
-0.26767074433646654,
-0.12710683926095895,
0.2771883198130702,
0.060401837250453325,
0.6324062174254571,
0.13234244883759477,
0.31418414805979... | {
"n_parameters": 97,
"n_qubits": 12,
"optimal_eigenvalue": -21.25,
"target_ratio": 0.97,
"target_value": -20.6125
} | 28 |
-4405714036867385194 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 6, 8, 10, 11], [1, 5, 7, 8, 9, 10], [1, 2, 3, 4, 5, 8, 9, 10, 11], [0, 1, 4, 5, 8, 9, 11], [1, 6, 7, 10, 11], [8, 1, 2, 7], [1, 2, 3, 4, 5, 6, 8, 9], [0, 5, 7, 8, 9, 10, 11], [0, 2, 3, 7, 8, 9, 10, 11], [0, 9, 3, 4], [1, 3, 5, 6, 7, 8, 10], [0, ... | {"states": [383, 511], "expectation_value": -2.5759400075526413, "params": [0.2008, 0.19410000000000002, 0.2127, 0.2132, 0.18130000000000002, 0.18580000000000002, 1.4616, 1.6708, 0.8297, 0.8256, 1.0289000000000001, 1.0616, 1.5993000000000002, 1.5472000000000001, 1.5729, 1.5724, 1.5724, 1.5725, 1.5669000000000002, 1.570... | 0.09722222222222221 * (Z(1) @ Z(6)) + 0.07936507936507936 * (Z(7) @ Z(6)) + 0.1365079365079365 * (Z(7) @ Z(1)) + 0.08333333333333331 * (Z(8) @ Z(6)) + 0.13333333333333333 * (Z(8) @ Z(1)) + 0.06547619047619047 * (Z(8) @ Z(7)) + 0.10317460317460317 * (Z(10) @ Z(6)) + 0.2198412698412698 * (Z(10) @ Z(1)) + 0.16031746031746... | 13 | 12 | 1 | {"smallest_eigenvalues": [-2.751190476190475], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7035714285714283, "smallest_bitstrings": ["111000000000"], "largest_eigenvalue": 13.999999999999991} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.06627104766210593) q[0];
rz(-0.08814920215295723) q[0];
ry(-0.01840760166087875) q[1];
ry(-0.008524713394426744) q[2];
ry(1.4572057128860019) q[3];
ry(1.2068771657454567) q[4];
ry(1.1608474819243517) q[5];
ry(1.5215188917437483) q[6];
ry(1.5245872412004633) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIZI",
"IIIIZZIIIIII",
"IIIIZIIIIIZI",
"IIIZIZIIIIII",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"IZIIIZIIIIII",
"IZIIIIIIIIZI",
"IZIIZIIIIIII",
"IZIZIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIIIIZZI",
"IIIIZIIIIZII",
"IIIZIIIIIZII",
"IZIIIIIIIZII",
"IIIIIZIIZIII",
"IIIIIIIIZIZI",
"IIIIZIIIZ... | [
0.09722222222222221,
0.07936507936507936,
0.1365079365079365,
0.08333333333333331,
0.13333333333333333,
0.06547619047619047,
0.10317460317460317,
0.2198412698412698,
0.1603174603174603,
0.08928571428571427,
0.061507936507936505,
0.14484126984126983,
0.11865079365079365,
0.12142857142857143... | 0.97204 | [
0.06627104766210593,
-0.01840760166087875,
-0.008524713394426744,
1.4572057128860019,
1.2068771657454567,
1.1608474819243517,
1.5215188917437483,
1.5245872412004633,
1.6672261296255362,
1.4234708722653513,
1.5464138757311665,
1.7668863686544232,
-0.17629840430591445,
-0.05446865241906166,
... | {
"n_parameters": 47,
"n_qubits": 12,
"optimal_eigenvalue": -2.751190476190475,
"target_ratio": 0.97,
"target_value": -2.6686547619047607
} | 8 |
43783f0d102db45430e0e9cc0abd5421 | 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": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [5, 1], "expectation_value": -0.5483487918143782, "params": [[-0.067], [0.0743]], "bitstrings": ["111111010", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0029620647270232445, 0.0029656667670999244], "optimization_time": 2.623067617416382} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(3)) + 2.25 * (Z(8)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.75, "smallest_bitstrings": ["111111110", "111111010"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.01638956768340378) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.01638956768340378) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009183088842077993) q[2];
cx q[0], q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(0.009... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIIZII",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIIZII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
-0.25,
-0.75,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1.25,
-1,
-0.25,
2.25,
-0.25,
0,
-0.25,
0.5,
-1,
-1,
0,
-0.25,
0,
2
] | 0.920668 | [
-0.01638956768340378,
0.009183088842077993,
-1.3795631206568821,
-0.00832950686798114,
-0.0024951873495025227,
0.00006676734680895714,
-0.8270233776435318,
-0.2649680470264135,
0.23459580270785552,
-1.490733499004103,
-0.10223196334459035,
-0.028685010435969098,
-1.5457011817943502,
-0.035... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 500 |
2cd9688dd7e6e70fe4c6359393ef8382 | 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": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -7.3192775969859145, "params": [0.0016, 0.37620000000000003, -0.0005, -0.10360000000000001, 0.0022, 0.5918, -0.0026000000000000003, 0.6068, -0.0013000000000000002, -0.0145, 0.0059, -0.0018000000000000002, -0.058, 0.1189, 0.0022, 0.5601, 0.8058000000000001, -0.0016, 0.0005, -0.002... | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + 1.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(8) + -0.75 * Z(1) + 1.2... | 4 | 9 | 2 | {"smallest_eigenvalues": [-8.75, -8.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["111111110", "111111010"], "largest_eigenvalue": 12.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.2149688734959462) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.13738777750806166) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.23872743880432903) q[4];
cx q[1], q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(-0.137... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIIIZI",
"IZIIZIIII",
"IIIIIZZII",
"IZIIIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII"
] | [
-0.5,
0.75,
-0.75,
-1.5,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-0.25,
1.75,
-0.25,
0.75,
-0.75,
1.25,
-1.25,
-1.25,
-0.5,
0.25
] | 0.970521 | [
-0.2149688734959462,
0.4265076445421939,
-0.13738777750806166,
-0.23872743880432903,
-0.3419395562464357,
-0.12748383700911398,
-0.7787600893417008,
-0.6355993014444166,
-0.16756292439520398,
-1.5773406351566481,
-0.5398038495912184,
0.7687771176116346,
-0.2060990217587597,
-0.540792904975... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -8.75,
"target_ratio": 0.97,
"target_value": -8.487499999999999
} | 230 |
7972250492454166773 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4, 6], [0, 1, 2, 3, 5, 6, 7], [0, 1, 6, 7, 8, 9], [0, 2, 3, 5, 6, 7, 8]]} | {"states": [459, 475], "expectation_value": -0.8366358126669301, "params": [[[0.44680000000000003, 0.0045000000000000005], [3.1434, 0.001], [3.1390000000000002, 0.006500000000000001], [3.1386000000000003, 0.0086], [0.4087, 0.00030000000000000003], [1.6233000000000002, 0.0047], [3.1385, 0.0036000000000000003], [0.487000... | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.2238095238095238 * (Z(6) @ Z(1)) + 0.05714285714285714 * (Z(0) @ Z(1)) + 0.08095238095238094 * (Z(0) @ Z(6)) + 0.023809523809523808 * (Z(2) @ Z(1)) + 0.047619047619047616 * (Z(2) @ Z(6)) + 0.047619047619047616 * (Z(2) @ Z(0)) + 0.023809523809... | 1 | 10 | 1 | {"smallest_eigenvalues": [-0.9142857142857145, -0.9142857142857145, -0.9142857142857145, -0.9142857142857145], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.9142857142857144, "smallest_bitstrings": ["1000110001", "0000110101", "0001100101", "1000100100"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.198368208843548) q[0];
rz(0.060223292419870816) q[0];
rx(3.0523574996902636) q[1];
rz(-0.44610511767670435) q[1];
rx(2.997774035063308) q[2];
rz(0.09476505864926603) q[2];
rx(3.1360710023296674) q[3];
rz(0.3320356405998669) q[3];
rx(-0.05910188411742333) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZI",
"IIIZIZIIII",
"IIIZIIIIZI",
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIZZIIIII",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZIZIII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IIZIIIIIIZ"... | [
0.16666666666666666,
0.16666666666666666,
0.2238095238095238,
0.05714285714285714,
0.08095238095238094,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.047619047619047616,
0.047619047619047616,
0.047619047619047616,
0.023809523809523808,
0.04761904... | 0.973384 | [
0.198368208843548,
0.060223292419870816,
3.0523574996902636,
-0.44610511767670435,
2.997774035063308,
0.09476505864926603,
3.1360710023296674,
0.3320356405998669,
-0.05910188411742333,
0.10363764484249953,
2.4094447727377286,
0.10802407108917239,
2.9651078905539743,
-0.1742705174106878,
... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -0.9142857142857145,
"target_ratio": 0.97,
"target_value": -0.886857142857143
} | 11 |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [2911, 2907], "expectation_value": -5.4737835459597655, "params": [1.0446, -0.012700000000000001, 0.5471, 0.4152, 1.0311000000000001, 0.306, 1.0404, -0.0381, 0.5328, 0.3875, 1.0241, 0.375, 0.546, 0.38070000000000004, 1.0407, 0.14350000000000002, 1.0122, 0.1453, 0.5685, 0.37320000000000003, 1.036, 0.1432, 0.8... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | 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] 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 floa... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIZI",
"IIIIZZIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IIIZZIIIIIII",
"IIIIIZIIZIII",
"IIIIZIIZIIII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIZIIIIIIIIZ",
"IIZIIIIIZIII",
"IZIIIIIII... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
081a3ef2a02910794db9cb14b9d27e2c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [8, 9], "expectation_value": -1.05131794490105, "params": [0.8193, 0.4197, 0.6022000000000001, 0.0032, 0.8530000000000001, 0.4818, 0.7935, 0.0099, 0.3321, -0.44730000000000003, 0.2429, 0.006500000000000001, 0.2546, 0.48140000000000005, 0.23900000000000002, 0.0016, 0.8530000000000001, -0.0132, 0.8061, 0.002, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3032958163120794) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(-0.3032958163120794) q[0];
cx q[2], q[0];
rz(0.8552742360724439) q[0];
rx(0.459671657095483) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.3032958163120794) q[3];
cx q[4],... | OPENQASM 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": []} | [
"IIIZZ",
"IIZIZ",
"ZZIII",
"IZIZI",
"ZIZII",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.971835 | [
-0.3032958163120794,
0.8552742360724437,
0.459671657095483,
-0.19969798362318422,
-0.5347021902916858,
0.39881531451821206,
-0.8390846379262727,
0.5552620141921045,
0.31915477986402796,
-0.8857236685748646,
1.4111741889625347,
0.36007566681044045
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 49 |
bd840c67c60de5e8a0e6837e43896a66 | 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": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.9863354793997835, "params": [[0.0791], [-0.0792]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0055919758321717585, 0.005765038310773846], "optimization_time": 2.1028695106506348} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.35990459281439513) q[0];
ry(0.023198227495002326) q[1];
ry(-0.34517053290632227) q[2];
ry(-0.07570776039062659) q[3];
ry(-0.3300671927820766) q[4];
ry(0.07912328524283957) q[5];
ry(-0.12769810895159228) q[6];
ry(2.542770934701043) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IZIIIZII",
"IIIIIZZI",
"IIIZZIII",
"IZIZIIII",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII"
] | [
-1,
-0.5,
-1,
1.75,
-1.5,
-0.75,
-0.5,
-1,
-1.5,
-1.75,
-0.75,
1,
-0.25,
-1.25,
-0.75,
0.25,
-2,
2.25,
0.75
] | 0.971343 | [
0.35990459281439513,
0.023198227495002326,
-0.34517053290632227,
-0.07570776039062659,
-0.3300671927820766,
0.07912328524283957,
-0.12769810895159228,
2.542770934701043,
0.13639105111281324,
0.06582778734862514,
0.014480851916113589,
0.018346416700780566,
0.004479335725910791,
0.2717194537... | {
"n_parameters": 29,
"n_qubits": 8,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 35 |
5872145575389226923 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [8, 2], [2, 3], [4, 6], [1, 4], [0, 7], [2, 7], [3, 7]]} | {"states": [460, 492], "expectation_value": -2.6614044608565117, "params": null, "bitstrings": ["000110011", "000010011"], "total_optimization_steps": 77, "probabilities": [0.10170069014457656, 0.5661804283998666], "optimization_time": 128.24145245552063} | 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.0 * Z(5) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(0) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["011001110", "100110001", "010100111", "101011000", "001011010", "111001100", "110100101", "111101100", "000110011", "000010011",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[4];
rz(0.7893182146364977) q[4];
cx q[6], q[4];
cx q[4], q[1];
rz(0.7893182146364977) q[1];
cx q[4], q[1];
rz(-4.158354549588239e-09) q[1];
rx(-0.7253392944739364) q[1];
rz(-4.158354549588239e-09) q[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[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIZIIIII",
"ZIIIIIZII",
"IIIIIZZII",
"IIZIZIIII",
"IIIIZIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IZIIIIIII",
"IIIIIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.587517 | [
0.7893182146364977,
-4.15835444334706e-9,
-0.7253392944739364
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 95 |
e8d596808c64f05cb47f0ff36b159db4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -41.45778593407355, "params": [[[0.0011, 1.6087], [0.0029000000000000002, 0.0038], [0.0028, -0.0029000000000000002], [0.0021000000000000003, 0.0026000000000000003], [0.0021000000000000003, 0.0022], [0.0018000000000000002, 0.002], [0.0023, 0.0024000000000000002], [0.0023, 0.543... | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -3.5 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + -3.5 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -4.0 * (Z(3) @ Z(6)) + -3.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(6)) + -3... | 15 | 12 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 40.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.13008759858450847) q[0];
ry(0.04814140547107665) q[1];
ry(-0.024655733817784714) q[2];
ry(-0.004024094900787173) q[3];
ry(-0.004024094900787173) q[4];
ry(-0.08505579427450477) q[5];
ry(-0.08386085251862338) q[6];
ry(-0.08386085251862338) q[7];
ry(-0.0850557942745... | OPENQASM 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIZIIII",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIZIIZIII",
"IIIIIIIIIZZI",
"IIIIIIIIIIZZ",
"IIIIIIIZIIZI",
"IIIIIZIIIIZI",
"IIIIIIIIZIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIZZII... | [
-3,
-3.5,
-3,
-3.5,
-3.5,
1.5,
-3.5,
1.5,
-3.5,
-4,
-3.5,
1,
1,
-3,
-3.5,
1,
0.5,
-3,
1,
-2.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
0.5,
1.5,
1,
-2,
1,
-2.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.972049 | [
-0.13008759858450847,
0.04814140547107665,
-0.024655733817784714,
-0.004024094900787173,
-0.08505579427450477,
-0.08386085251862338,
-0.4642932687706995,
-0.04011059343648443,
0.07018395499666373,
2.6188614690457697,
-0.21397028456939587,
-0.0030198802811453734,
0.0037670217299621105,
-0.0... | {
"n_parameters": 19,
"n_qubits": 12,
"optimal_eigenvalue": -44.5,
"target_ratio": 0.97,
"target_value": -43.165
} | 18 |
43f346f2449aaad74bd3d1617b2cab32 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [82, 89], "expectation_value": -3.0081617359338577, "params": null, "bitstrings": ["0101101", "0100110"], "total_optimization_steps": 39, "probabilities": [0.05651695491284668, 0.8490176077116037], "optimization_time": 38.07285022735596} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.4099597405997399) q[0];
cx q[2], q[0];
h q[3];
cx q[0], q[3];
rz(0.4099597405997399) q[3];
cx q[0], q[3];
rz(0.5379425344598752) q[3];
rx(-1.0181627007712197) q[3];
h q[4];
cx q[2], q[4];
rz(0.4099597405997399) q[4];
cx q[2], ... | 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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIZZIII",
"IIIZIIZ",
"IZIIIIZ",
"IZIZIII",
"IZIZIIZ",
"IZIIZII",
"ZIIIZII",
"ZZIIIII",
"ZZIIZII",
"ZIZIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
-0.75,
0,
-0.25,
-0.5,
0,
-0.25
] | 0.756698 | [
0.4099597405997399,
-0.5276923746122105,
0.5379425344598753,
-0.15590122747147514,
-1.0181627007712197,
0.9194045375777744,
-1.0915528273895585,
-0.4028415862936717,
-0.5859290117404532
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 223 |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 117], "expectation_value": -0.05482536377409942, "params": [[0.049300000000000004, 0.035], [-0.047900000000000005, -0.034800000000000005]], "bitstrings": ["00110001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.004322262802382607, 0.004322262802382612], "optimization_time": 9.58461... | 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(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16175234084033957) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16175234084033957) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.16175234084033957) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.16175234084033957) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIIZZIIZ",
"IIZIZIIZ",
"IIZZIIIZ",
"IIZZZIII",
"IIZZZIIZ",
"IZIIZIII",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0,
0.125,
-0.125,
0.12... | 0.972373 | [
-0.16175234084033957,
-1.87532801107341,
-0.05801357308838576,
0.10605362145925226,
-1.1416650171566816,
0.4399114001229122,
1.0360662674525876,
-1.009520344317765,
0.7718866700779633,
-0.5658460915133537,
0.2880179831430165,
-2.7932233839467817,
-0.24448320489468112,
-0.7290022026259505,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 239 |
-4670749010918333584 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [0, 2, 4, 5, 6], [0, 1, 2, 4, 7], [2, 3, 4]]} | {"states": [181, 119], "expectation_value": -0.23949233980550028, "params": [[-0.2594], [0.2751]], "bitstrings": ["01001010", "10001000"], "total_optimization_steps": 30, "probabilities": [0.0053582480052228685, 0.005358490005365805], "optimization_time": 3.599477529525757} | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.07380952380952381 * (Z(4) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(0)) + 0.19047619047619047 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.07380952380952381 * (Z(5) @ Z(0)) + 0.02380952380... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239, -0.9238095238095239], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.9238095238095236, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.03364815657501992) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.033296359552797354) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.033296359552797354) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(0.03364815657501992) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIIZI... | [
0.07380952380952381,
0.023809523809523808,
0.023809523809523808,
0.07380952380952381,
0.12380952380952381,
0.19047619047619047,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.07380952380952381,
0.023809523809523808,
0.073809523... | 0.976762 | [
0.03364815657501992,
-0.033296359552797354,
-0.0937428410172995,
0.7258837092763114,
-0.028783826852688467,
0.10082772321202052,
-0.08736856863883628,
-3.158979002577361,
-1.4899542342317436,
1.830340203842116,
-1.6122871050873742,
-1.5174632718578571,
1.8037217594970403,
1.567768730929428... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -0.9238095238095239,
"target_ratio": 0.97,
"target_value": -0.8960952380952382
} | 86 |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -5.675579468999118, "params": null, "bitstrings": ["111110", "110000"], "total_optimization_steps": 37, "probabilities": [0.17610784862410456, 0.6204813298798018], "optimization_time": 25.220879554748535} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(7.90274469494533e-08) q[0];
ry(-0.7853982620761846) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2293320178321785) q[2];
h q[3];
ry(0.7853981303022892) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7853981303022892) q[3];
cx q[4], q[3];
ry(0.6154797374613742) q[4];
cx q[3], q[4];
r... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIIZ",
"IIIZZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-0.5,
-0.5,
-0.5,
-1.25,
-1.25,
1.25,
-0.75,
-1,
-0.25,
0,
0.25,
0.5,
0.5
] | 0.961538 | [
1.580548938989066e-7,
1.5707962936941358,
-1.5707964113743622,
1.5707962606045784,
1.2309594749227484,
2.458664035664357,
-6.36184063154341e-8,
-0.7758827152746062,
0.6829287142011918,
-0.7949136334328287,
-0.6410930540584571,
-0.852030693606311,
0.6410931018832451,
0.5966596957061975,
0... | {
"n_parameters": 19,
"n_qubits": 6,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 341 |
84dcff3fa5f1cb1271083d4a9838c54d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [0, 511], "expectation_value": -26.511464379590734, "params": [[[0.0023, -0.22890000000000002], [0.0049, -0.0027], [-0.0026000000000000003, -0.0029000000000000002], [0.005, 0.0028], [0.0034000000000000002, 0.0023], [0.0048000000000000004, 0.0019], [0.0025, 0.0019], [0.0014, 0.0026000000000000003], [0.0022, 0... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z... | 15 | 10 | 2 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 33.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.036300144146453314) q[0];
ry(-0.11878507877077266) q[1];
ry(0.07339691017701472) q[2];
ry(0.003650483275460536) q[3];
ry(-0.025493564627481487) q[4];
ry(0.046987841143816454) q[5];
ry(-0.052458305032921676) q[6];
ry(0.08309571097428758) q[7];
ry(0.56693142890828)... | OPENQASM 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": []} | [
"IIIIIZIIIZ",
"ZIIIIIIIIZ",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIIIZIZI",
"IIIIIZIZII",
"ZIIIIIIZII",
"IIIIIIIZZI",
"IIIIIIZZII",
"IIZIIZIIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIZZIIII",
"ZIIIZIIIII",
"IIIIZIZIII",
"IIZIZIIIII"... | [
-0.5,
0.75,
-1,
-0.75,
-1.5,
-1.5,
-1.25,
-1,
-0.5,
-1.25,
-1.5,
-0.75,
-0.25,
-1,
-1,
-2,
-1.25,
-1.5,
-1.5,
-1.5,
-1,
-0.75,
-2.5,
-1.25,
-0.75,
-0.25,
-2.25,
-4.25,
0.25,
4.5,
4.5,
-1.5,
-2.25,
2
] | 0.972108 | [
-0.036300144146453314,
-0.11878507877077266,
0.07339691017701472,
0.003650483275460536,
-0.025493564627481487,
0.046987841143816454,
-0.052458305032921676,
0.08309571097428758,
0.56693142890828,
0.1658463252630693,
-0.3614112259060726,
0.01606036561630311,
-0.000683589184585805,
-0.0462881... | {
"n_parameters": 62,
"n_qubits": 10,
"optimal_eigenvalue": -27.25,
"target_ratio": 0.97,
"target_value": -26.4325
} | 48 |
d6ef88caa86def69cf0a93d5f7ae1334 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 4, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [15, 31], "expectation_value": -3.639214553464091, "params": null, "bitstrings": ["110000", "100000"], "total_optimization_steps": 32, "probabilities": [0.36461455184422314, 0.36464526034654576], "optimization_time": 22.453867435455322} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -1.0 * Z(1) + -0.25 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.142596775395089) q[0];
h q[1];
ry(-2.805862209723741) q[2];
rz(-pi) q[2];
h q[3];
ry(1.6727279779329813) q[3];
cx q[3], q[2];
ry(-0.006612696294308967) q[2];
cx q[3], q[2];
h q[4];
ry(0.18808620509776625) q[4];
h q[5];
cx q[5], q[4];
ry(-0.1880862050977662... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IIZZII",
"IZZIII",
"IZIZII",
"IIZIZI",
"ZIIIIZ",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
-0.25,
-0.25,
-1,
-0.25,
-1,
0.5,
-0.75,
2,
-0.25,
0,
-0.5,
-1,
-0.25
] | 0.977265 | [
1.6727279779329813,
0.3761724101955325,
1.2284531866345352,
0.427136098034033,
-2.285193550790178,
-0.23338856410801373,
-0.22032755357472006,
0.013225392588617935,
0.6739447709084712,
0.7214781933643197,
0.33930929519387343,
-2.1923364254591933,
0.19110177979600335,
0.7238842759854223,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 132 |
a43d49479c18c4b079779bf0388b8725 | 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": [424, 426], "expectation_value": -31.551839983171956, "params": [[[-1.1713, 1.1300000000000001], [0.3481, 2.0551], [0.6917, -0.0745], [1.7036, -0.006], [1.3043, 0.9739000000000001], [2.1532, 0.5623], [2.1619, 1.9563000000000001], [-0.5678000000000001, 0.9653], [0.2155, 2.1945], [1.0007000000000001, 1.2631000... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(8) @ Z(3)) + 6.0 * (Z(8) @ Z(9)) + 0.5 * Z(0) + 14.5 * Z(1) + 13.0 * Z(4) + 6.5 * Z(3) + 11... | 15 | 10 | 1 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["1001010101"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-3.0480075780372315) q[0];
ry(0.051388090863834224) q[1];
ry(0.09813623692795578) q[2];
ry(3.012659047072676) q[3];
ry(-0.0576475972799148) q[4];
ry(3.3429987102507663) q[5];
ry(3.061724368885409) q[6];
ry(-0.3390384282934573) q[7];
ry(0.1484802557158291) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIIZZIIIII",
"IIZZIIIIII",
"ZIIIIZIIII",
"IZIIIIZIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
0.5,
14.5,
13,
6.5,
11.5,
1,
12,
-4,
1,
7
] | 0.975806 | [
-3.0480075780372315,
0.051388090863834224,
0.09813623692795578,
3.012659047072676,
-0.0576475972799148,
3.3429987102507663,
3.061724368885409,
-0.3390384282934573,
0.1484802557158291,
-0.002667785466276879,
3.1191809062608944,
0.0004860695034908935,
0.1391209103274222,
-0.08429842805689045... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -101,
"target_ratio": 0.97,
"target_value": -97.97
} | 215 |
177860aeb0336e4d74e733a089b052c3 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 48615], "expectation_value": -15.691807511481068, "params": [[-0.09860000000000001, -0.07010000000000001, -0.0746, -0.06720000000000001], [0.1145, 0.0937, 0.1136, 0.134]], "bitstrings": ["0100000100101000", "0100001000011000"], "total_optimization_steps": 20, "probabilities": [0.001866869652866769, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.499999999999904], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999858, "smallest_bitstrings": ["0100001000011000"], "largest_eigenvalue": 69.50000000000036} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.014243045464342475) q[0];
rz(pi/2) q[0];
ry(0.47339641759489615) q[1];
ry(0.9477409961268048) q[2];
ry(0.8530870530941135) q[3];
ry(0.6736094485826715) q[4];
ry(0.6301478108490435) q[5];
ry(0.6323208850188416) q[6];
ry(-0.07959944305288852) q[7];
ry(0.90841950821... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 2, "target": 3}, {"source": 2, "target": 1}, {"source": 3, "target": 1}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIZII",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIIZIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIZIIZII",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
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0.25,
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0.5,
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0.5,
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0.5,
0.5,
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0.5,
0.5,
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0.5,
0.5,
0.5,
0.5,
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0.25,
... | 0.972057 | [
-0.014243045464342475,
0.47339641759489615,
0.9477409961268048,
0.8530870530941135,
0.6736094485826715,
0.6301478108490435,
0.6323208850188416,
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0.9084195082130984,
0.10595333817837868,
0.8644001538004558,
0.7068495334682495,
0.9093136984371829,
0.7857326890626988,
0... | {
"n_parameters": 127,
"n_qubits": 16,
"optimal_eigenvalue": -20.499999999999876,
"target_ratio": 0.97,
"target_value": -19.884999999999877
} | 7 |
d2ab62c933304b5c3d761f042e65d199 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1581, 1613], "expectation_value": -8.457547078904769, "params": [[[0.0004, 1.369, 0.007, 0.008], [-0.1463, 1.2412, -0.009300000000000001, 0.0079], [0.8768, -0.0158, 0.0092, -0.0118], [0.21610000000000001, -0.0161, 0.9576, 0.0097], [0.0021000000000000003, 1.3337, 0.0095, 1.3365], [-0.013900000000000001, 0.27... | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 12 | 13 | 4 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"], "largest_eigenvalue": 24.333333333333336} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.01428808446472929) q[4];
cx q[5], q[4];
rz(0.7076710511306401) q[4];
rx(0.6799700390829646) q[4];
rz(0.7076710511306401) q[5];
rx(0.6799700390829646) q[5];
cx q[5], q[4];
rz(-0.018813340844222627) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIZZIIIIIIIII",
"IZZIIIIIIIIII",
"IZIZIIIIIIIII",
"IZIIIIIIIIIIZ",
"IIZIIIZIIIIII",
"IIIZIIZIIIIII",
"IZIIIIZIIIIII",
"IIIIIIZIIIIIZ",
"IZIIIZIIIIIII",
"IIIIIZIIIIIIZ",
"IIIIIZZIIIIII",
"IZIIZIIIIIIII",
"IIIIZIIIIIIIZ",
"IIIIZIZIIIIII",
"IIIIZZIIIIIII",
"IIZIIIIIIIIZI",
"IIIZIIIIIII... | [
1,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
0.5,
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-0.5,
0.5,
0.5,
-0.5,
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-0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
0.4166666666666667,
-0.08333333333333333,
2,
2,
0.5,
-0.5833333333333333,
-0.5,
0.5,
0.5,
-1.08333333333333... | 0.939928 | [
-0.022671081592215675,
0.06161724149777843,
0.005991387157856576,
-0.6387503257619822,
-0.010357105256603799,
0.01428808446472929,
-0.47916225336349694,
0.7655302160406787,
-1.1089908052403838,
-1.436223898761174,
-0.6605812567300683,
0.70767105113064,
0.6799700390829644,
0.042096629996697... | {
"n_parameters": 39,
"n_qubits": 13,
"optimal_eigenvalue": -8.833333333333332,
"target_ratio": 0.97,
"target_value": -8.568333333333332
} | 500 |
216fa3ac5e9f09e597390a38dc3f522d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [920, 921], "expectation_value": -2.7046049522256905, "params": [0.38520000000000004, 0.3806, 0.395, 0.3899, 0.3941, 0.38780000000000003, -0.0012000000000000001, -0.0041, 0.0604, 0.0623, 0.3996, 0.3931, 0.39390000000000003, 0.39440000000000003, -0.0039000000000000003, 0.004, 0.0009000000000000001, 0.0083, 0.... | 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)) + 0.125 * (Z... | 14 | 10 | 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], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100001011", "0010101001", "0001001110", "0001100110", "0100010011", "100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1783625631622077) q[0];
ry(-0.006706987331923493) q[1];
ry(1.9462553802040514) q[2];
ry(1.019265769797049) q[3];
ry(0.5361501555280688) q[4];
ry(1.8134832859913776) q[5];
ry(-0.30568723936358444) q[6];
ry(1.5188259262110946) q[7];
ry(-0.0974740111005822) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIIZZZ",
"IIIIIIZIZZ",
"IIIIIIZZIZ",
"IIIIIIZZZI",
"IIIIIIZZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.25,
0.125,
-0.125... | 0.97372 | [
1.1783625631622077,
-0.006706987331923493,
1.9462553802040514,
1.019265769797049,
0.5361501555280688,
1.8134832859913776,
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1.5188259262110946,
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-0.05723860341672066,
0.9475964644963719,
0.12470101392180558,
0.19935262936210102,
0.01926577938651311,
... | {
"n_parameters": 30,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 40 |
-115130958860663335 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 5], [4, 6], [3, 4], [0, 7], [0, 3], [0, 1], [1, 5], [8, 6], [1, 3], [6, 7], [0, 8], [8, 5], [8, 7], [0, 2], [2, 6], [3, 7], [2, 5], [4, 7], [1, 4], [3, 6], [8, 3]]} | {"states": [270, 284], "expectation_value": -4.994832683105009, "params": null, "bitstrings": ["011110001", "011100011"], "total_optimization_steps": 87, "probabilities": [0.08712374490381103, 0.7807994958910319], "optimization_time": 201.8070375919342} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011100", "011100011"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.4434510928819991) q[3];
cx q[5], q[3];
cx q[3], q[4];
rz(0.4434510928819991) q[4];
cx q[3], q[4];
cx q[5], q[1];
rz(0.4434510928819991) q[1];
cx q[5], q[1];
h q[6];
cx q[3], q[6];
rz(0.4434510928819991)... | 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[8], 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... | [
"IIIZIZIII",
"IIIIZZIII",
"IIZIIZIII",
"IIZIZIIII",
"IIIIIZIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZZIIIIII",
"IZIIIIIIZ",
"IIIZIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIIIIZZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"... | [
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0,
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0
] | 0.400196 | [
0.4434510928819991,
-1.860111678691712e-8,
-0.6255604817366802
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 87 |
d9691fcf746f1d3057f71d50dcf6c27b | 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": [680, 682], "expectation_value": -17.312041848661647, "params": [[[0.4918, 0.6691], [0.2891, 0.4772], [0.7086, 0.6913], [-0.0806, 0.6901], [0.7070000000000001, 0.6979000000000001], [0.2589, 0.7077], [0.7048, 0.6991], [0.18910000000000002, 0.7023], [0.7001000000000001, 0.6959000000000001], [0.7039000000000001... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(9)) + 8.5 * Z(0) + 5.0 * Z(1) + 7.0 * Z(2) + -4.0 * Z(3) + 7.0 * Z(4) + 15.0 * Z(6) + 3.5 * Z(5) + 4.5 * Z(9) + 10.0 * Z(8) + -1... | 15 | 10 | 2 | {"smallest_eigenvalues": [-84.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["0101010101"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9469742755339612) q[0];
ry(0.0006106313311459721) q[1];
ry(1.5306330772092884) q[2];
ry(0.03497149202918422) q[3];
ry(1.7260830430740042) q[4];
ry(-0.035155700427744546) q[5];
ry(0.9998597164989187) q[6];
ry(0.14039211854774442) q[7];
ry(1.7510080589554053) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIZIZIIII",
"IIIIZZIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IZIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IZIIIIIIII",
"IIZIIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
8.5,
5,
7,
-4,
7,
15,
3.5,
4.5,
10,
-10.5
] | 0.976274 | [
0.9469742755339612,
0.0006106313311459721,
1.5306330772092884,
0.03497149202918422,
1.7260830430740042,
-0.035155700427744546,
0.9998597164989187,
0.14039211854774442,
1.7510080589554053,
1.5228532438005447,
0.08760710430636799,
0.07998827266429515,
0.36799181090428773,
0.3600442238745724,... | {
"n_parameters": 39,
"n_qubits": 10,
"optimal_eigenvalue": -84,
"target_ratio": 0.97,
"target_value": -81.48
} | 79 |
-3173261753743397568 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [1, 5], [2, 3], [3, 5]]} | {"states": [22, 54], "expectation_value": -1.6055805587157261, "params": null, "bitstrings": ["101001", "001001"], "total_optimization_steps": 34, "probabilities": [0.15341133558520725, 0.740717130081814], "optimization_time": 31.220186948776245} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75, -1.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010100", "001001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.1117228435737718) q[0];
h q[1];
ry(1.4022657954411455) q[1];
h q[2];
ry(-0.6981292483233106) q[2];
h q[3];
ry(-2.093748719923229) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.2538225619631135) q[5];
cx q[3], q[5];
ry(0.2538225619631135) q[5];
cx q[3], q[5];
ry(-0.2166... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0
] | 0.972643 | [
-0.507645123926227,
1.4022657954411455,
-0.43334379243757487,
1.4717502774138032,
-1.3962584966466212,
-0.6594548837325275,
0.12442434732219015,
0.23997820959421848,
0.3616845034783619,
0.32253577929994126,
-0.2694617619949979,
0.38944063352027963,
-0.2105124378671163,
0.2234456871475436,
... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -1.75,
"target_ratio": 0.97,
"target_value": -1.6975
} | 12 |
0cfc31894cbb21dc81348893cd71afd2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": ... | {"states": [383, 1023], "expectation_value": -1.5930485556805631, "params": [[0.0356], [-0.0368]], "bitstrings": ["1010000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.001399250511538278, 0.001399250511538278], "optimization_time": 3.4412288665771484} | -1.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(3)) + -3.5 * (Z(8) @ Z(6)) + -4.0 ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-42.0, -42.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -41.0, "smallest_bitstrings": ["0000000000", "1010000000"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.08513743038990779) q[0];
ry(-0.053578177845580416) q[1];
ry(0.3120033643452013) q[2];
ry(0.14622341637480057) q[3];
ry(-0.16039183569624163) q[4];
ry(-0.2111402885996337) q[5];
ry(-0.053578177845580416) q[6];
ry(-0.0051925129142067275) q[7];
ry(-0.080206811765537... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIZIZIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IIZIZIIIII",
"IIZIIIZIII",
"IIZZIIIIII",
"IIIIZZIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIZIIIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"ZIIZIIIIII",
"ZIZIIIIIII"... | [
-1.5,
-2.5,
0.5,
-3.5,
-3,
-3,
1.5,
0.5,
0.5,
-3,
1,
1,
1,
-3.5,
-4,
-3,
-3,
0.5,
1,
1,
-3,
-3.5,
0.5,
1,
-3,
-3.5,
-3,
-3,
1,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.973285 | [
-0.08513743038990779,
-0.053578177845580416,
0.3120033643452013,
0.14622341637480057,
-0.16039183569624163,
-0.2111402885996337,
-0.0051925129142067275,
-0.08020681176553726,
-0.08425302473866397,
3.23705889083263,
-0.04280075016301067,
-0.12084888609405003,
0.03161345905161249,
-0.0815692... | {
"n_parameters": 15,
"n_qubits": 10,
"optimal_eigenvalue": -42,
"target_ratio": 0.97,
"target_value": -40.74
} | 25 |
1b25290ab1e43a1b592d31250319712f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [509, 1020], "expectation_value": -16.900730143297306, "params": [[[-1.247, 2.2027], [-0.002, 0.8375], [0.0019, 0.0019], [0.002, 0.0017000000000000001], [-0.0026000000000000003, 0.0017000000000000001], [0.0023, 0.0022], [0.0021000000000000003, 0.0021000000000000003], [0.0027, 0.0026000000000000003], [0.6398,... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(7) + -1.0 * Z(... | 15 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.173499974333863) q[0];
cx q[1], q[0];
rz(1.5707963243403888) q[0];
rx(-1.570796339673228) q[0];
rz(1.5707963243403888) q[1];
rx(-1.570796339673228) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.173499974333863) q[2];
cx q[3], q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"IIZIZIIIII",
"IIZIIZIIII",
"IIZZIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"ZIIIIIIIII",
"IZIIIIIIII"
] | [
-1,
-1,
-2,
-2,
-2,
-2,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1
] | 0.832256 | [
-1.173499974333863,
-1.5707963084054193,
6.958406852995431e-8,
1.5707963243403886,
-1.570796339673228
] | {
"n_parameters": 5,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 162 |
cd55386261459e93e7dcecce946f4932 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 8}, {"weight": ... | {"states": [235, 234], "expectation_value": -84.40159744994446, "params": [-0.0035, -0.3647, -0.00030000000000000003, -0.3682, 0.2696, -0.09530000000000001, 0.2679, -0.108, 0.4894, 0.0838, 0.4914, 0.0658, 0.4994, 0.1047, 0.499, 0.0443, 0.4973, 0.0838, 0.4964, 0.0316, 0.1913, -0.137, 0.1915, -0.1504, 0.4978, 0.0804, 0.4... | 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 18.0 * Z(2) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1100010101"], "largest_eigenvalue": 192.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.03419939729801039) q[0];
rz(0.14430965713766675) q[0];
rx(0.43614365203872046) q[1];
rz(-0.1997560457943619) q[1];
rx(0.5861525405305841) q[2];
rz(-0.16620208309863083) q[2];
rx(0.5645059619449005) q[3];
rz(0.03584941314234236) q[3];
rx(0.6933574007406816) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIIZI",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIZIIZIIII",
"IZIIIIIZII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIZIIIIII"... | [
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
5.5,
18,
8.5,
13,
15,
4,
20,
2,
16.5,
9.5,
-9
] | 0.974393 | [
-0.034199397298010394,
-0.1849637915874714,
0.43614365203872046,
-0.35620383889970475,
0.5861525405305841,
-0.2736342797744194,
0.5645059619449007,
0.10844649637216663,
0.6933574007406815,
0.006179499120940585,
-0.30131023962761766,
0.7801136311597692,
0.37870661253245536,
0.11582396653510... | {
"n_parameters": 141,
"n_qubits": 10,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 55 |
5dad688a93671469362a3d3d00961b05 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [20, 11], "expectation_value": -0.5241021493496307, "params": [[0.0757, 0.07780000000000001, 0.0738], [-0.0777, -0.0821, -0.07780000000000001]], "bitstrings": ["01011", "10100"], "total_optimization_steps": 10, "probabilities": [0.05107992963620889, 0.054879876199215], "optimization_time": 2.662358045578003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(1.054375204004865) q[0];
ry(1.2513372356561656) q[1];
ry(0.2824769594172304) q[2];
ry(1.4848254273950985) q[3];
ry(1.7704547616171795) q[4];
ry(-0.13250446412763625) q[5];
ry(-0.49590506331342876) q[6];
ry(1.052494121858556) q[7];
ry(0.7429880399328006) q[8];
ry(0.4... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"ZIZII",
"IZZII",
"IIIZI",
"IIIIZ",
"ZIIII",
"IIZII",
"IZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
0
] | 0.975061 | [
1.054375204004865,
1.2513372356561656,
0.2824769594172304,
1.4848254273950985,
1.7704547616171795,
-0.13250446412763625,
-0.49590506331342876,
1.052494121858556,
0.7429880399328006,
0.41317392976743855,
2.5434800341621466,
1.571476038864509,
1.6619437044267633,
0.026188563071984666,
1.62... | {
"n_parameters": 45,
"n_qubits": 15,
"optimal_eigenvalue": -8.749999999999972,
"target_ratio": 0.97,
"target_value": -8.487499999999972
} | 53 |
7bc4dde9a09d0b94c5097b219891d81a | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 1], "expectation_value": -8.53182564352058, "params": [[[-0.0027, -0.23090000000000002], [-0.0031000000000000003, -0.20550000000000002], [-0.0086, 0.19720000000000001], [0.39590000000000003, -0.001]], [[-0.0022, -0.22660000000000002], [0.0011, 0.1882], [-0.0048000000000000004, 0.1967], [0.396900000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + -4.5 * Z(1) + -4.75 * Z(0) + -4.5 * Z(2) + -4.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1110"], "largest_eigenvalue": 29.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
-4.5,
-4.75,
-4.5,
-4.25
] | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 1.4054861068725586} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"], "largest_eigenvalue": 1.7000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[3] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06424924399158577) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04813350541764115) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(1.5498376269972) q[1];
rx(1.7036418680237873) q[1];
rz(-0.06424924399158577) q[2];
cx q[0], q[2];
rz(1.2431... | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\nry(-1.5708)... | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
-0.2,
-0.4,
-0.2,
-1,
-0.5,
-1
] | 0.971481 | [
-0.06424924399158577,
0.04813350541764115,
1.5498376269971996,
1.2431540253041897,
1.7036418680237873
] | {
"n_parameters": 5,
"n_qubits": 3,
"optimal_eigenvalue": -3.3,
"target_ratio": 0.97,
"target_value": -3.2009999999999996
} | 20 |
7612844348063935763 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [0, 2, 4], [3, 5, 7], [0, 1], [5, 6, 7], [1, 6]]} | {"states": [179, 155], "expectation_value": -0.032660448262948026, "params": [[-0.0545], [0.059300000000000005]], "bitstrings": ["01001100", "01100100"], "total_optimization_steps": 10, "probabilities": [0.004109777679188441, 0.004109777679188443], "optimization_time": 0.6255435943603516} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(7) @ Z(5)) + 0.1666666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100100"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(2.516207018377933) q[0];
rz(1.4660120365496745) q[0];
rx(0.28719118371870084) q[1];
rz(1.3205302404175043) q[1];
rx(2.6788664275891296) q[2];
rz(1.2933296945770225) q[2];
rx(1.7624826631143962) q[3];
rz(1.4726535758948103) q[3];
rx(1.706486446093841) q[4];
rz(1.64122... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(x1) q[6];
cx q[5], q[6];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIZIII",
"ZIZIIIII",
"ZZIIIIII",
"ZIIIZIII",
"IIIIIIZZ",
"IZIIIIZI",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"ZIIIIIII",
"IIIIIIZI"
] | [
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.33333333333333326,
0.33333333333333326,
0.16666666666666666,
... | 0.970667 | [
2.516207018377933,
-0.10478429024522179,
0.2871911837187009,
-0.2502660863773923,
2.6788664275891296,
-0.27746663221787393,
1.7624826631143966,
-0.09814275090008617,
1.706486446093841,
0.07042732107738664,
2.641537997379765,
0.1645749837916984,
2.7121513947066362,
-0.013779540884130317,
... | {
"n_parameters": 38,
"n_qubits": 8,
"optimal_eigenvalue": -2.3333333333333335,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 148 |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [127, 61], "expectation_value": -1.2645619088686884, "params": [[-0.17550000000000002], [0.1694]], "bitstrings": ["10000000", "11000010"], "total_optimization_steps": 20, "probabilities": [0.01112082770711658, 0.011590283617444113], "optimization_time": 2.610971689224243} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.014854315310046964) q[0];
ry(-0.03729676010121815) q[1];
rz(-pi) q[1];
h q[2];
ry(0.8055963103906512) q[2];
h q[3];
ry(1.5413867232941334) q[3];
h q[4];
ry(0.8055963103906512) q[4];
cx q[3], q[4];
ry(-0.8055963103906512) q[4];
cx q[3], q[4];
h q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIZIIIZI",
"ZIZIIIII",
"IZIIIIZI",
"IIIIIZZI",
"IIZIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZZII",
"ZIIZIIII",
"IIZZIIII",
"IZIZIIII",
"IIIZIZII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZI... | [
-0.5,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.25,
0.25,
-0.75,
-0.25,
1.25,
1
] | 0.998931 | [
1.5413867232941334,
1.6111926207813023,
1.5582303119186558,
1.5849264559127798,
-1.5965526985559542,
-1.4420256266999978,
-1.5801916192047236,
-0.18294787998736117,
-0.01192451884967978,
0.04787332815945153,
0.021804112902021354,
0.06662708175304768,
0.08666792215002461
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 1 |
9529baf1c272123f159cd9ccf2735587 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [64, 63], "expectation_value": -0.04888337459173561, "params": [[-0.0358], [0.045000000000000005]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00826988086582255, 0.008322244307761668], "optimization_time": 1.9763152599334717} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.05951716756405023) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.02265479429026638) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.05951716756405023) q[1];
cx q[3], q[1];
h q[4];
cx q[2], q[4];
rz(-0.05951716756405023) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.75,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
0.25,
-0.25,
-0.5,
0.25,
0,
0.5,
-0.25
] | 0.702551 | [
-0.05951716756405023,
0.02265479429026638,
-0.0017078621446601585,
-0.0009216693159784977,
-1.6675830071562805,
-1.5753684037053484,
-1.5740367613126494,
-1.5745622847367713,
1.3452619876330905
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 252 |
b2ad92d1453e889b732cbfcfd082cd41 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [138, 142], "expectation_value": -4.102782167415909, "params": [[0.5943, -0.012400000000000001, -0.0077, 0.0066, 0.7982, 0.3492, 0.79, 0.15080000000000002], [0.7246, -0.0037, -0.0043, 0.0004, 0.5904, -0.201, 0.7424000000000001, 0.07010000000000001], [0.5239, 0.0029000000000000002, -0.0047, 0.0053, 0.79870000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(7) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01110001", "10001110", "11100100", "11110000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.07331643645102212) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.07331643645102212) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.07331643645102212) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.07331643645102212) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"ZIIIIIIZ",
"IIIZIIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIZII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IZIIIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1,
-0.5,
0,
0,
-0.5,
-0.5
] | 0.956272 | [
0.07331643645102212,
1.3672231817191602,
-1.5677865044421424,
-1.6506634873926307,
-1.5934745094891105,
1.5118818624675805,
-1.7812763995064638,
1.3284599912179063,
1.1535493641022598,
-0.3699990203531776,
-0.6428687851956907,
-0.1084779865352908,
0.6312678235710382,
-0.49023685973430714,
... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -85.5,
"target_ratio": 0.97,
"target_value": -82.935
} | 500 |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [175, 239], "expectation_value": -1.6383077204310175, "params": [0.8033, -0.0026000000000000003, 0.7991, -0.0017000000000000001, 0.8043, 0.008400000000000001, 0.0022, -0.5152, 0.8081, 0.0036000000000000003, 0.8064, -0.0035, 0.8091, -0.0036000000000000003, 0.8083, 0.0036000000000000003, 0.8075, 0.005200000000... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"], "largest_eigenvalue": 54.83333333333333} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08466080018590566) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.4712491131715458) q[1];
cx q[2], q[1];
rz(0.6656506840572414) q[2];
rx(1.5126955950453878) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04495793256312783) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZIIII",
"IZZIIIII",
"IZIZIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIIIZZ",
"IIIZIZII",
"IIIIIZIZ",
"IIIIIZZI",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
1,
1,
1.5,
1.5,
3,
0.5,
1,
0.8333333333333334,
1,
0.8333333333333334,
1.6666666666666667,
3.5,
6.5,
7,
10.5,
2.5833333333333335,
5.166666666666667,
5.166666666666667,
-0.08333333333333333
] | 0.564109 | [
0.08466080018590566,
-0.04495793256312783,
0.4712491131715458,
0.6656506840572409,
-1.5403474266364232,
-1.5490134012367487,
1.5126955950453878
] | {
"n_parameters": 7,
"n_qubits": 4,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 191 |
7665cfac8ba5e6744a93d2876ad51618 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"sour... | {"states": [85, 93], "expectation_value": -6.016674631112511, "params": [[0.0021000000000000003, 0.0034000000000000002, 1.5877000000000001, 0.0033, 1.5834000000000001, 0.0466, 1.5836000000000001, 0.0029000000000000002, 1.5815000000000001], [0.0022, 0.0019, 1.5876000000000001, 0.0016, 1.5857, 1.6081, 1.5848, -0.003, 1.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + -1.5 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + -... | 10 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110100010"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.05208619777713809) q[0];
ry(-0.10109319730111152) q[1];
ry(1.3674152804148219) q[2];
ry(0.10466773077569164) q[3];
ry(1.447850427794919) q[4];
ry(0.10343695884631751) q[5];
ry(1.7099732231375078) q[6];
ry(0.013217515127360503) q[7];
ry(1.3066657220163607) q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IZIIIIIIZ",
"IZIZIIIII",
"IIIIIZIZI",
"IIZIIZIII",
"IIZIIIIZI",
"ZZIIIIIII",
"ZIIIIIIZI",
"IZIIIIZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIZIIIIII",
"ZIIIIIIII",
"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,
-1.5,
-1.5,
0,
-1,
-1.5,
-1,
-0.5,
-0.5,
0
] | 0.976656 | [
-0.05208619777713809,
-0.10109319730111152,
1.3674152804148219,
0.10466773077569164,
1.447850427794919,
0.10343695884631751,
1.7099732231375078,
0.013217515127360503,
1.3066657220163607,
-0.024897306914788572,
0.08487684946526869,
1.7686386056029546,
0.08574317529922786,
1.5191834998691287... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 11 |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -22.908572527452257, "params": [-0.5651, 0.3121, -0.4964, 0.6971, -0.5191, 0.8854000000000001, -0.3546, 0.9934000000000001, -0.46330000000000005, 0.8434, -0.4116, 0.9808, -0.523, -0.3347, -0.5283, 0.0361, 0.01, 0.533, -0.007500000000000001, 0.797, -0.0066, 0.5231, -0.0004, 0.78... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.9170231262339931) q[0];
rz(1.6663066684833927) q[0];
rx(-0.0050215654850718295) q[1];
rz(-2.3265054073058105) q[1];
rx(-0.8955155374897494) q[2];
rz(1.5481495289294038) q[2];
rx(-3.0551372542267763) q[3];
rz(1.45515896271446) q[3];
rx(0.06164310570994425) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2.5,
-3,
0.5,
-3,
0.5,
-2,
1.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
1.5,
1.5,
-2.5
] | 0.972987 | [
0.9170231262339931,
0.09551034168849609,
-0.005021565485071829,
2.3858835730788797,
-0.8955155374897495,
-0.02264679786549267,
-3.0551372542267763,
-0.11563736408043661,
0.061643105709944246,
-2.657294261119828,
-0.010240035117141883,
1.147392939419517,
0.014733353398927345,
1.538141859158... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 102 |
-3897479232097662972 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 3, 4, 6], [0, 1, 2, 4], [1, 2, 5, 6], [1, 3, 4], [0, 4, 5, 6], [2, 3, 4, 5, 6]]} | {"states": [107, 122], "expectation_value": -0.06471978293674173, "params": [[-0.0873], [0.08080000000000001]], "bitstrings": ["0010100", "0000101"], "total_optimization_steps": 10, "probabilities": [0.008244956501754113, 0.008245126041503677], "optimization_time": 0.781447172164917} | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.26666666666666666 * (Z(4) @ Z(3)) + 0.18333333333333335 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(3)) + 0.18333333333333335 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.4000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4000000000000001, "smallest_bitstrings": ["0000101"], "largest_eigenvalue": 6.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.171576782765687) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.0414373740044321) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.7121562116570027) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.007815963939975058) q[4];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"ZIZIIII",
"IIIIZZI",
"IIIIIZZ",
"IIIZIZI",
"IIZIIZI",
"ZIIIIZI",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"ZZIIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZ... | [
0.13333333333333333,
0.1,
0.05,
0.18333333333333335,
0.21666666666666667,
0.26666666666666666,
0.18333333333333335,
0.13333333333333333,
0.1,
0.18333333333333335,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.13333333333333333,
0.08333333... | 0.864696 | [
-0.171576782765687,
-0.0414373740044321,
0.7121562116570027,
0.007815963939975058,
-0.5003530255650558,
-1.4676832854371704,
-0.01150207778780783,
-0.04895197665894735,
-0.01115969338136872,
-1.3890090362871623,
0.042745043387128145,
-0.00047673348890984134,
-0.018829761176473926,
-1.56115... | {
"n_parameters": 15,
"n_qubits": 7,
"optimal_eigenvalue": -1.4000000000000004,
"target_ratio": 0.97,
"target_value": -1.3580000000000003
} | 269 |
068ca9ebc869ed2b6b1f40ca0469471e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 69], "expectation_value": -1.0242660484580108, "params": [[0.049600000000000005, 0.066, 0.07100000000000001], [-0.0308, -0.045700000000000005, -0.051800000000000006]], "bitstrings": ["0011101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.012081074414828566, 0.012083110969224622], "op... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111010", "0011101", "0011110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3957985069517005) q[0];
h q[1];
ry(1.5114028040861018) q[1];
h q[2];
ry(-1.526922983837543) q[2];
h q[3];
ry(-1.526922983837543) q[3];
ry(-0.11440455969290664) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5672591944997557) q[5];
h q[6];
cx q[6], q[5];
ry(0.56725919449... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIIIZZI",
"IIIZIZI",
"IIZIZII",
"IIZZIII",
"IIZIIZI",
"IZIIZII",
"IZZIIII",
"ZIIZIII",
"ZZIIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-1,
-1.5,
-1,
-0.5
] | 0.997874 | [
-1.526922983837543,
-1.4021260090422283,
1.3957985069517005,
1.5114028040861018,
-1.1345183889995114,
0.552255256194146,
-0.39609545392408263,
0.5830247778065006,
-0.30424605695940454,
0.31827948046517196,
-0.26416314121957485,
-0.10853151611952326,
-0.05051947752201759,
0.1195228129329295... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
621c775e3dd2297f9f74eee0214c8452 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [120, 122], "expectation_value": -3.3386741989610416, "params": [0.1149, -0.194, 0.5021, -0.004, 0.49970000000000003, 0.002, 0.5044000000000001, 0.0051, 0.5044000000000001, 0.0017000000000000001, 0.44830000000000003, 0.0033, 0.5021, -0.0123, 0.2464, -0.116, 0.1184, -0.12430000000000001, 0.5057, 0.0132, 0.509... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + -1.5 * Z(5) + -0.5 * Z(4) + -1.0 * Z(7) + -0.5 * Z(6) | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.16076539552415375) q[0];
rz(1.510114503184349) q[0];
rx(1.3755247360164067) q[1];
rz(1.5797106093658329) q[1];
rx(0.5141476781915483) q[2];
rz(1.474982901110808) q[2];
rx(1.3029393052094365) q[3];
rz(1.4256708616660259) q[3];
rx(1.3029393052094367) q[4];
rz(1.48344... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZZIIII",
"ZIZIIIII",
"ZIIZIIII",
"IZZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
0,
0,
-1.5,
-0.5,
-1,
-0.5
] | 0.970892 | [
0.16076539552415375,
-0.06068182361054759,
1.3755247360164065,
0.0089142825709361,
0.5141476781915483,
-0.09581342568408843,
1.3029393052094367,
-0.14512546512887028,
-0.08735626645449418,
0.43207942190670057,
-0.4889527362678233,
-0.28157853909613356,
-0.12473708139502661,
-0.006470200840... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 40 |
7937964206068771899 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 7], [0, 4, 6], [0, 2, 4, 5, 8], [8, 1, 2, 4], [8, 5, 7], [0, 1, 2, 4], [0, 7]]} | {"states": [429, 493], "expectation_value": -1.900388211975884, "params": [1.4821, -0.0567, 1.4451, 0.0026000000000000003, 1.4845000000000002, 0.0931, 1.4829, 0.003, 1.3835000000000002, -0.30970000000000003, 0.8156, 0.005, 1.4899, 0.0971, 1.4897, 0.008, 0.9537, -0.3748, 0.8510000000000001, 0.0051, 1.5004000000000002, 0... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.116666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1166666666666663, "smallest_bitstrings": ["000010010"], "largest_eigenvalue": 6.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.204333554672451) q[0];
rz(-0.17098019344383886) q[0];
rx(1.740306236359629) q[1];
rz(-0.11705944171416593) q[1];
rx(1.3955421754470425) q[2];
rz(-0.4915140449471411) q[2];
rx(1.4750156227671054) q[3];
rz(0.07015357132647138) q[3];
rx(0.4378484963713769) 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[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIIZIZI",
"ZIIIIZIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIIZIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IZIIIIIIZ",
"IIIIZIIZI",
"ZIIIZIIII",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIZIZIIII",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIIIZIZ",
"IIIIZIZII",
"ZIIZIIIII",
"IZIZIIIII",
"IIIZIIIIZ",
"... | [
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.05,
0.5,
0.16666666666666666,
0.13333333333333333,
0.3,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.13333333333333333,
0.13333333... | 0.970147 | [
1.204333554672451,
-0.2165245898375643,
1.7403062363596293,
-0.12162534626110467,
1.3955421754470425,
-0.5264633768816909,
1.4750156227671054,
0.112282754682943,
0.43784849637137696,
-0.7106416744550401,
1.3447587126093359,
0.027736389343416285,
1.52663613717737,
0.24889197962357223,
-0.... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -2.116666666666667,
"target_ratio": 0.97,
"target_value": -2.0531666666666673
} | 33 |
c50c35688e3077b743569b2e8fe6823e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"sour... | {"states": [12, 268], "expectation_value": -6.516086304773114, "params": [[[1.604, -0.0054, 0.0038, 0.009000000000000001], [0.0125, -0.006200000000000001, -0.018000000000000002, 0.0012000000000000001], [0.4716, 0.0031000000000000003, -0.47790000000000005, 0.006500000000000001], [0.0032, -0.3946, 0.0031000000000000003, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) ... | 11 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.0, "smallest_bitstrings": ["001101111", "010101111", "011110011", "011100111", "111100110"], "largest_eigenvalue": 21.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(2.4820731009839205) q[0];
rz(0.0018657759709204969) q[0];
ry(0.1772162266925203) q[1];
rz(-0.2608450790332385) q[1];
cx q[1], q[0];
ry(-0.045949280414847034) q[1];
rz(-0.1042630913510687) q[1];
ry(0.5532072258558237) q[2];
rz(0.024263923116363745) q[2];
ry(0.07773198... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIZIII",
"IZIZIIIII",
"IIIZIIIZI",
"IIIZIIZII",
"ZIZIIIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IIIIZZIII",
"IZIIZIIII",
"IIZIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1
] | 0.971331 | [
2.4820731009839205,
0.0018657759709204969,
0.1772162266925203,
-0.2608450790332385,
0.5532072258558237,
0.024263923116363745,
0.07773198947119514,
-0.48195402259473696,
-0.05185934157062439,
-0.2824137899881979,
0.020640013144125516,
0.049001659844736686,
1.5513908854430367,
-0.01980506831... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
-5786968754667279962 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 3, 8, 12], [0, 1, 2, 3, 5, 10], [1, 2, 5, 6, 8, 11], [11, 12], [2, 3, 5, 9, 10, 12], [1, 3, 4, 5, 7, 10, 11], [2, 4], [0, 3, 6, 9, 11], [0, 1, 3, 4, 5, 7, 8, 10], [0, 1, 2, 6, 9], [11, 1, 10, 2], [1, 2, 7, 8, 11], [12, 6, 7], [0, 1, 3, 4, 6, 8,... | {"states": [3834, 5882], "expectation_value": -5.6436820156234235, "params": [0.1519, -0.0227, 0.4702, 0.0002, 1.9052, -0.0575, 1.593, 0.037000000000000005, 1.5728, -0.0024000000000000002, 1.5632000000000001, 0.0083, 1.5669000000000002, 0.0022, 1.5799, -0.0021000000000000003, -0.0218, -0.0037, 0.026600000000000002, 0.0... | 0.275 * (Z(0) @ Z(1)) + 0.22261904761904763 * (Z(3) @ Z(1)) + 0.17500000000000002 * (Z(3) @ Z(0)) + 0.275 * (Z(8) @ Z(1)) + 0.18928571428571428 * (Z(8) @ Z(0)) + 0.22499999999999998 * (Z(8) @ Z(3)) + 0.1 * (Z(12) @ Z(1)) + 0.1 * (Z(12) @ Z(0)) + 0.25 * (Z(12) @ Z(3)) + 0.23333333333333334 * (Z(12) @ Z(8)) + 0.35 * (Z(2... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.689285714285714], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.651190476190474, "smallest_bitstrings": ["0100100000101"], "largest_eigenvalue": 26.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
rx(0.08247495208972837) q[0];
rz(1.5247554383895228) q[0];
rx(1.8765712939715906) q[1];
rz(-0.03967983880841937) q[1];
cx q[1], q[0];
ry(1.393751857268238) q[0];
cx q[1], q[0];
ry(-1.0190356913769134) q[0];
rz(-1.5930729701552817) q[0];
rx(1.5701858995252673) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIZIZI",
"IIIIIIIIIZIIZ",
"IIIIZIIIIIIZI",
"IIIIZIIIIIIIZ",
"IIIIZIIIIZIII",
"ZIIIIIIIIIIZI",
"ZIIIIIIIIIIIZ",
"ZIIIIIIIIZIII",
"ZIIIZIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZZII",
"IIIIZIIIIIZII",
"ZIIIIIIIIIZII",
"IIIIIIIZIIIZI",
"IIIIIIIZIII... | [
0.275,
0.22261904761904763,
0.17500000000000002,
0.275,
0.18928571428571428,
0.22499999999999998,
0.1,
0.1,
0.25,
0.23333333333333334,
0.35,
0.15714285714285714,
0.2833333333333333,
0.2404761904761905,
0.25,
0.28214285714285714,
0.19880952380952382,
0.18214285714285716,
0.2488095... | 0.984612 | [
0.08247495208972838,
-0.046040888405373404,
1.8765712939715906,
-0.03967983880841937,
1.541819560584827,
0.1574704827322104,
1.4932594439161007,
0.051841385150150354,
-0.03241225557221179,
0.07570508681267933,
1.6974178293527458,
-0.1850796693813358,
0.031341750599483645,
1.009420432472486... | {
"n_parameters": 60,
"n_qubits": 13,
"optimal_eigenvalue": -5.689285714285714,
"target_ratio": 0.97,
"target_value": -5.518607142857142
} | 1 |
a6494651245db8e763406aada5f3f79f | 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": [966, 710], "expectation_value": -116.52893384047856, "params": [[[0.801, 0.2225], [0.783, 0.3109], [0.3517, 0.1746], [0.5364, 0.1784], [0.7767000000000001, 0.34140000000000004], [-0.1534, 0.1825], [0.2998, 0.0188], [0.09140000000000001, 0.1809], [-0.0334, 0.7921], [-0.09920000000000001, 0.498], [0.2525, 0.0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(9) @ Z(7)) + 0.5 * Z(0) +... | 15 | 11 | 4 | {"smallest_eigenvalues": [-134.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.5, "smallest_bitstrings": ["10100111001"], "largest_eigenvalue": 223.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.4091305623711763) q[0];
ry(0.7112942471080095) q[1];
ry(-0.22182955944940674) q[2];
ry(0.6025885006847657) q[3];
ry(0.8108408848056834) q[4];
ry(-0.5508504541221884) q[5];
ry(0.2810855640482258) q[6];
ry(0.19612436222859303) q[7];
ry(-0.31611570592661054) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIIZ",
"IIZZIIIIIII",
"IZIIIIIIIZI",
"IZIIIIIIZII",
"IZIIIIZIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0.5,
21.5,
14.5,
10,
20,
2.5,
14.5,
1,
29.5,
-8,
-10.5
] | 0.970136 | [
1.4091305623711763,
0.7112942471080095,
-0.22182955944940674,
0.6025885006847657,
0.8108408848056834,
-0.5508504541221884,
0.2810855640482258,
0.19612436222859303,
-0.31611570592661054,
-0.06863410731450195,
0.3194274627829089,
0.06076741577960213,
0.1391656670101822,
0.05397198314067027,
... | {
"n_parameters": 87,
"n_qubits": 11,
"optimal_eigenvalue": -134.5,
"target_ratio": 0.97,
"target_value": -130.465
} | 63 |
a72353b3f3d39b66b1e7bcbe39a68bf2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [496, 510], "expectation_value": -12.48813634668828, "params": null, "bitstrings": ["000001111", "000000001"], "total_optimization_steps": 100, "probabilities": [0.06587773099345184, 0.5128983846247117], "optimization_time": 214.92418122291565} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9415630442967537) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.21995847618572695) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.44713908697091814) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.9415630442967537) q[3];
cx q[1], q[3];
... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[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];\nc... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.529162 | [
0.9415630442967537,
0.21995847618572695,
0.44713908697091814,
0.13017078990936806,
1.0482937107472254,
1.5707964035855109,
0.9520730623988463
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 189 |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 29], "expectation_value": -6.805638553473974, "params": [-0.0043, 1.3061, 0.224, 1.0334, 0.44, 1.3229, 0.7170000000000001, 1.2064000000000001, 0.0007, 2.0147, 1.0428, -0.0021000000000000003, 0.0058000000000000005, 1.6583, -0.065, 0.8469, -0.021500000000000002, 0.9428000000000001, 0.7229, 2.6118, -0.00030... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 4 | 6 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"], "largest_eigenvalue": 9.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.3973990978795459) q[0];
h q[1];
ry(0.7210581234742061) q[1];
h q[2];
h q[3];
ry(1.508145619070655) q[3];
cx q[3], q[1];
ry(-0.7210581234742061) q[1];
cx q[3], q[1];
h q[4];
ry(-1.402367103280393) q[4];
h q[5];
cx q[5], q[0];
ry(0.3973990978795459) q[0];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIZI",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIZII"
] | [
-0.75,
-1,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.75,
-1,
-1.25,
1.25,
-0.25,
1.25,
-1.5,
0.5,
-1.25
] | 0.973609 | [
-1.402367103280393,
-0.7947981957590918,
1.226614773855988,
1.508145619070655,
1.4421162469484121,
-0.23582571520858747,
0.17368093824506411,
-0.2690797596273954,
0.1449349374403027,
-0.4615274142083343,
-0.04054061261302525,
-0.4541789105974401
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 11 |
16d309fbf50eb3de0ab671378ee18bce | 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": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -4.50377296006913, "params": [[0.075, 0.0699, 0.0712], [-0.07930000000000001, -0.0606, -0.0673]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.016654761915947447, 0.016941715988418045], "optimization_time": 5.113134860992432} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.12021306467003467) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.12021306467003467) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.619045472878983) q[1];
cx q[3], q[1];
rz(0.6629361776915914) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIIZI",
"IIIIZZII",
"IIZIIZII",
"IIZZIIII",
"ZIIZIIII",
"IIIZIZII",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIZIII... | [
-0.25,
-0.25,
-1.5,
-1.75,
-0.5,
2,
-0.75,
-0.25,
-1.5,
-1.25,
-0.25,
-1.25,
-0.5,
-1.5,
-1.75,
-2,
0.75,
-0.25,
0.5,
-0.5,
-0.75,
1.5,
1.5,
-2.75
] | 0.753128 | [
0.12021306467003467,
0.6629361776915914,
0.619045472878983,
0.28570574726183656,
-0.5663852669872758,
0.1273970154663604,
0.3375480158663885,
0.5843197981729872,
-0.1663806001123737,
-0.3111552012899571,
-0.24267714715287347,
0.014118320570961941,
1.2171445897763404,
0.1959828147103447,
... | {
"n_parameters": 26,
"n_qubits": 8,
"optimal_eigenvalue": -14.25,
"target_ratio": 0.97,
"target_value": -13.8225
} | 500 |
e087bb7a2ab5b6cd6822b49db98164ad | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [11, 63], "expectation_value": -2.3054282545983416, "params": [[0.0729, 0.06960000000000001, 0.0766, 0.06420000000000001], [-0.0742, -0.0632, -0.07390000000000001, -0.0614]], "bitstrings": ["1110100", "1000000"], "total_optimization_steps": 10, "probabilities": [0.023670498256622843, 0.023763610221330073], "... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
d5c9e2c60adcce2a7bd44a74474e515b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [187, 185], "expectation_value": -1.1468682165527913, "params": [0.0995, 0.1044, 1.0007000000000001, 0.9984000000000001, 0.1194, 0.1153, 0.9995, 1.0012, 0.9994000000000001, 0.993, 1.0068000000000001, 1.0039, 0.35700000000000004, 0.3567, 0.7618, 0.7615000000000001, 0.9991000000000001, 0.9979, 0.2378, 0.005800... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 13 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100101100", "100101001", "110100100", "011000110", "101010001", "011010100", "011010001", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.06491193756964622) q[0];
rz(0.07529977947409294) q[0];
ry(0.23742091791802283) q[1];
ry(0.07766255112857626) q[2];
ry(0.47052276345903) q[3];
ry(0.39725956148730496) q[4];
ry(0.42926103817060673) q[5];
ry(0.09530470417953064) q[6];
ry(-0.03811340140983269) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIZZZIIII",
"IIIIZZIII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIZZIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIIZI",
"ZIIZIIIZI",
"ZZIIIIIZI",
"ZZIZIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.5,
-0.125,
-0.5,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125
] | 0.97713 | [
-0.06491193756964622,
0.23742091791802283,
0.07766255112857626,
0.47052276345903,
0.39725956148730496,
0.42926103817060673,
0.09530470417953064,
-0.03811340140983269,
0.7443234373539951,
0.15059955894818589,
-0.22808838527589015,
0.18678011820363896,
0.2606838079152155,
-0.1368076453033955... | {
"n_parameters": 105,
"n_qubits": 9,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 15 |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [18, 26], "expectation_value": -1.9791315645858256, "params": [0.0019, -0.1562, 0.0025, -0.1549, 0.20120000000000002, 0.0049, 0.2049, 0.001, 0.2056, -0.0038, 0.19690000000000002, -0.006500000000000001, 0.0036000000000000003, -0.1527, 0.0022, -0.1471, 0.2033, -0.0026000000000000003, 0.2036, -0.0076, 0.1158, 0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 5 | 6 | 4 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(1.5706415412178192) q[0];
ry(0.17738065745091058) q[0];
rz(-1.2289331769937306) q[0];
rz(-2.0064394391485636) q[1];
ry(0.05195164644631841) q[1];
rz(1.6158226668893017) q[1];
rz(-1.4591808629773537) q[2];
ry(0.1438680830206584) q[2];
rz(1.3823592347405116) q[2];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IIZIZI",
"IZIZII",
"IIZZII",
"IZZIII",
"IZIZZI",
"IIZZZI",
"IZZIZI",
"IZZZII",
"IZZZZI",
"ZIIZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-1,
-0.125,
-0.125,
-0.125,
-0.625,
-0.5
] | 0.981301 | [
0.1774500647835066,
0.3748855468174612,
0.04098849267156553,
-0.24415803312160173,
-0.24801868974247307,
-0.151177436467156,
1.6175791763168208,
-0.03242731533050097,
1.9188194167141894,
0.05578166470394768,
1.8647875584561593,
-0.06973403478083848,
-0.0000745897025684443,
-0.0331747529448... | {
"n_parameters": 24,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 16 |
3d599008e6d247101eb02503201a8a05 | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 15], "expectation_value": -0.7952086341846248, "params": [[-0.0465, -0.0448, -0.0492, -0.0456], [0.058600000000000006, 0.0577, 0.0557, 0.0563]], "bitstrings": ["01111", "10000"], "total_optimization_steps": 10, "probabilities": [0.0535982021485611, 0.05814828281732292], "optimization_time": 4.0107042789... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"ZIZII",
"ZIIIZ",
"IIZZI",
"IZZII",
"ZZIII",
"IZIZI",
"IIZII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IZIII"
] | [
-0.25,
-0.25,
0.5,
-1.5,
-0.25,
-0.5,
-1,
0.75,
-0.25,
-0.25,
0,
-0.25
] | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553516, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 33.085434675216675} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6613510471018691) q[0];
h q[1];
ry(0.6363557243035431) q[1];
h q[2];
ry(0.8762410042703717) q[2];
h q[3];
ry(1.5797614988899453) q[3];
h q[4];
ry(-1.3227020942037382) q[4];
h q[5];
cx q[5], q[0];
ry(0.6613510471018691) q[0];
cx q[5], q[0];
ry(-0.1472698311... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IZIIZI",
"ZIIIIZ",
"ZIIIZI",
"IIZZII",
"IIZIZI",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
-0.25,
-1,
-1.25,
-0.75,
1.75,
-1,
-0.5,
-1.25,
-1.25,
1.25,
-0.25,
-2.5,
0,
-0.5,
2
] | 0.973802 | [
-1.3227020942037382,
1.5797614988899453,
1.7411868845926435,
-0.2945396623583815,
1.2727114486070863,
0.4993285531882329,
1.7524820085407433,
-0.23870673944423812,
-0.4358087178782579,
0.06835119046574256,
-0.27794874849023343,
-0.29686600510111416,
0.5459314081296203,
-0.5128761408398687,... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 64 |
9d1382902993d8e771af3489e0021226 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [250, 467], "expectation_value": -0.14224853850194324, "params": [[-0.0517, -0.0606], [0.06470000000000001, 0.0719]], "bitstrings": ["100000101", "000101100"], "total_optimization_steps": 10, "probabilities": [0.0026313572892423687, 0.00263135728924237], "optimization_time": 6.810373544692993} | 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)) + 0.25 * (Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"], "largest_eigenvalue": 5.875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5734866058128874) q[0];
ry(-3.049185198245095) q[1];
rz(-pi) q[1];
h q[2];
ry(1.356383431000579) q[2];
cx q[2], q[1];
ry(-0.11338480721692776) q[1];
cx q[2], q[1];
ry(0.08622704143012419) q[2];
rz(-pi) q[3];
ry(-0.08286575263427674) q[3];
ry(-0.06072020170... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIZZIIIZ",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IZZIZIIII",
"IIIZIIZII",
"... | [
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,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
-0.125,
0.125,
0.125,
0,
0,
-0.25,
0,
0
] | 0.994348 | [
-1.5734866058128874,
-1.636888113613539,
-1.4874054263622778,
1.356383431000579,
1.3650040642332704,
-0.04534139745877805,
0.22676961443385552,
-0.02917844896579387,
0.17245408286024838,
-0.03354793163126881,
0.029471096484107714,
0.07208817537219585,
0.1322483325046339,
-0.092611818275263... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-6452688707045364778 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3], [1, 2, 4], [0, 2, 5], [5, 6], [2, 6], [4, 6], [2, 3]]} | {"states": [54, 86], "expectation_value": -0.03954704895140543, "params": [[0.0597], [-0.0575]], "bitstrings": ["1001001", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008261413699479738, 0.008261413699479747], "optimization_time": 1.863466739654541} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0001001", "0101001", "1001001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.9264589147090754) q[0];
rz(0.029147865115425442) q[0];
rx(1.966595026217004) q[1];
rz(0.01201888904314971) q[1];
rx(2.808072707447173) q[2];
rz(0.44480695278183) q[2];
rx(0.12408019060307945) q[3];
rz(-0.9530685465645634) q[3];
rx(3.023792118258136) q[4];
rz(-0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZZII",
"IIZIIZI",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"ZIIIZII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.333333333333... | 0.976819 | [
2.9264589147090754,
0.029147865115425442,
1.966595026217004,
0.01201888904314971,
2.808072707447173,
0.44480695278183,
0.12408019060307945,
-0.9530685465645634,
3.023792118258136,
-0.10079697296699228,
3.1696688106318125,
0.4050585648057619,
-0.049807306465221246,
-1.2253307857285916
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 16 |
d2d6210032a3bac3f87e7e8b6a950d90 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.1263769269142882, "params": [[0.0109, -0.0363], [-0.0334, 0.0298]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0021744251784107144, 0.00218380861172426], "optimization_time": 10.262633800506592} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.18578577636277577) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.5093806493477444) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.18578577636277577) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.1857857... | OPENQASM 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"... | [
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-1.5,
-1.25,
-0.5,
1,
-0.75,
-1,
-0.5,
0,
-0.25,
1,
1,
-0.5,
0.75,
-0.5,
-0.25,
-1.25
] | 0.720873 | [
0.18578577636277577,
0.5093806493477444,
0.5119530029126313,
0.2732986393742881,
0.5476720459052578,
0.38973248629103374,
-0.13636454850262086,
-0.056871081683878784,
-0.09330404392189752,
1.329106489541909,
0.21577801437147648,
0.6017659229847682,
0.7618486460431486,
0.4295188912634574,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 381 |
eea3b85f6c338196bfcd99350b0e2d9a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [9, 73], "expectation_value": -4.04439593078436, "params": [0.4017, 0.0091, 0.1613, 0.2106, -0.015700000000000002, 0.225, 0.40590000000000004, 0.11270000000000001, 0.15380000000000002, 0.22340000000000002, -0.0149, 0.224, 0.4057, 0.10350000000000001, 0.4062, 0.0188, 0.1623, 0.223, -0.0152, 0.2325, 0.4027, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(2) + -2.0 * Z(5) + ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110110", "1010110", "0111010"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(3.164147526782816e-09) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(3.164147526782816e-09) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(3.164147526782816e-09) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(3.164147526782816e-09) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"IIZIIZI",
"IZZIIII",
"IIIZZII",
"IZIZIII",
"IIZZIII",
"ZIIIZII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-2,
-2,
-1,
-1,
-0.5
] | 0.757576 | [
3.164147526782816e-9,
0.3398368793410832,
1.5707963369699605,
-1.5707963464211774,
1.57079635772165
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 162 |
34667f924e7bb7a2c34c990114b7b4c9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [231, 199], "expectation_value": -62.119872373169684, "params": [0.0021000000000000003, 0.4147, 0.3758, 0.1174, 0.5965, 0.0045000000000000005, 0.5954, -0.0049, 0.3815, -0.095, 0.38420000000000004, -0.10360000000000001, -0.0007, 0.36100000000000004, 0.5975, 0.1721, 0.5957, 0.028200000000000003, 0.5953, 0.0054... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(3)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(6) @ Z(3)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(5)) + 16.5 * Z(3) + 24.5 * Z(2) + 4.5 * Z(1) + 4.5 * Z(5) + -7.0 * Z(6) + 7.0 * Z(7) + 5.0 * Z(4) + 9.5 * ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1100111000"], "largest_eigenvalue": 159.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.08197286249698106) q[0];
rz(0.2825370287039526) q[0];
rx(0.01566178215055898) q[1];
rz(0.10688880616399124) q[1];
rx(0.7549064088980947) q[2];
rz(-0.3318924563745662) q[2];
rx(0.8676876563457212) q[3];
rz(0.09150617349059949) q[3];
rx(-0.2357612745556728) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIIIZZI",
"IIIIZIIZII",
"IIIZIIZIII",
"IIZIIZIIII",
"IZZIIIIIII",
"IZIIIZIIII",
"ZIIIIIIZII",
"ZIIIZIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIZIIIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
16.5,
24.5,
4.5,
4.5,
-7,
7,
5,
9.5,
6,
-14
] | 0.971408 | [
0.08197286249698105,
0.4123747779474235,
0.01566178215055898,
0.10688880616399124,
0.7549064088980947,
-0.3318924563745662,
0.8676876563457212,
0.09150617349059949,
-0.2357612745556728,
0.1564435413118085,
0.23146073323231395,
-0.2849667875094981,
-0.1795873349282647,
0.6266368040830899,
... | {
"n_parameters": 115,
"n_qubits": 10,
"optimal_eigenvalue": -100.5,
"target_ratio": 0.97,
"target_value": -97.485
} | 20 |
3517103073386853469 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 4, 5], [1, 2, 3, 4, 5], [0, 1], [0, 2, 3]]} | {"states": [30, 39], "expectation_value": -0.025006237056847194, "params": [[0.0666], [-0.07010000000000001]], "bitstrings": ["100001", "011000"], "total_optimization_steps": 10, "probabilities": [0.016188909377542894, 0.016223501840575635], "optimization_time": 2.097963571548462} | 0.25 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(4)) + 0.05 * (Z(1) @ Z(5)) + 0.21666666666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.2833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2000000000000002, "smallest_bitstrings": ["011000"], "largest_eigenvalue": 3.4999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.050872969372688356) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.0470021240595853) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.048951398967686) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.0470021240595853) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIZII",
"ZIIIIZ",
"ZZIIII",
"IIIZZI",
"IIIIZZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IIZIIZ",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.25,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.08333333333333333,
0.13333333333333333,
0.05,
0.5,
0.05,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.05,
0.05,
0.39166666666666666,
0.29166666666666663,
0.22499999999999995,
0.22499999999999995,
... | 0.972798 | [
0.050872969372688356,
0.0470021240595853,
0.048951398967686,
-0.00860509110564263,
0.3060356358957842,
0.5333011355692213,
0.008128940664628749,
-1.6204849264494285,
1.5613133118379827,
1.5545288887051019,
-1.6592835908217705,
1.6651612018243755,
-1.5546060094931262
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -1.2833333333333332,
"target_ratio": 0.97,
"target_value": -1.2448333333333332
} | 222 |
1536b63d241483fb5dc02588be4ba19b | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [446, 318], "expectation_value": -1.3545514207072056, "params": [0.17370000000000002, 0.1743, 0.9055000000000001, 0.9107000000000001, 0.7557, 0.5760000000000001, 0.6581, 0.5217, 0.9095000000000001, 0.9023, 0.9026000000000001, 0.9053, 0.9083, 0.8997, 0.8998, 0.899, 0.9047000000000001, 0.9087000000000001, 0.29... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.4375, "smallest_bitstrings": ["1001001001", "1110000001", "1001010001", "1010010001", "1001001100", "1001001010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.04779183555766979) q[0];
rz(pi/2) q[0];
ry(0.8306418339210944) q[1];
ry(0.05682480482049211) q[2];
ry(-0.05796229018538766) q[3];
ry(0.8499443990166291) q[4];
ry(0.7642536277892962) q[5];
ry(0.9814073438298536) q[6];
ry(0.521067015089204) q[7];
ry(1.1286822792896... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIZIIIIZII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIIZZIZII",
"IIIZIZIZII",
"IIZIIZIZII",
"IIIZZIIZII",
"IIZIZIIZII",
"IIZZIIIZII",
"IIIZZZIIII",
"IIZIZZIIII"... | [
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,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,... | 0.975441 | [
-0.04779183555766979,
0.8306418339210944,
0.05682480482049211,
-0.05796229018538766,
0.8499443990166291,
0.7642536277892962,
0.9814073438298536,
0.521067015089204,
1.128682279289605,
-0.10572734460785212,
-0.004947795862729976,
-0.08436678599328315,
0.3852756836515644,
0.04561754259989417,... | {
"n_parameters": 79,
"n_qubits": 10,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 50 |
93b5fdbd1569d891d55cdc3dac937bfb | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "ta... | {"states": [134, 198], "expectation_value": -1.7051052602259682, "params": [0.20320000000000002, 0.2054, 0.20550000000000002, 0.1971, 0.029300000000000003, 0.036500000000000005, 0.11760000000000001, 0.1179, 0.1315, 0.132, 0.19870000000000002, 0.2039, 0.20470000000000002, 0.20220000000000002, 0.11720000000000001, 0.1173... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(7) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(6) + -0.5 * Z(4) + 0.0 * Z(5) | 13 | 8 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101001", "00111001", "00110101", "11001010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.6193106669368859) q[0];
rz(-0.09510588994193378) q[0];
ry(0.31696804410502105) q[1];
ry(-0.2508461489610718) q[2];
ry(0.029079413147427735) q[3];
ry(0.1064128551427674) q[4];
ry(0.21672107728391704) q[5];
ry(0.3176685881271991) q[6];
ry(-0.06292504249132377) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IZIIIZII",
"ZZIIIIII",
"IIIZZIII",
"IIZZIIII",
"IIIIIZII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.981592 | [
0.6193106669368859,
0.31696804410502105,
-0.2508461489610718,
0.029079413147427735,
0.1064128551427674,
0.21672107728391704,
0.3176685881271991,
-0.06292504249132377,
-0.19021177988386756,
-0.019639162541192884,
0.13329706990310453,
0.13433179294051917,
-0.401504390098952,
0.21739056230791... | {
"n_parameters": 122,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 17 |
0df4df25c74ca38eb293288a64f6d090 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 2, "source": 2, "target": 3}, {"weight": 16, "source": 2, "target": 6}, {"... | {"states": [125, 93], "expectation_value": -45.00140435206537, "params": null, "bitstrings": ["10000010", "10100010"], "total_optimization_steps": 100, "probabilities": [0.15666428943704894, 0.3398361120055857], "optimization_time": 180.9265842437744} | 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... | 1 | 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... | 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(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"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 |
cad641d981f27f8814cde398a8be85de | 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}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [152, 156], "expectation_value": -39.659653490943214, "params": [[[0.9006000000000001, -0.0023], [0.2781, 0.30920000000000003], [0.16870000000000002, 0.3743], [0.9012, 0.0007], [0.8975000000000001, 0.0036000000000000003], [0.5395, 0.0117], [0.0869, 0.39330000000000004], [-0.0023, 0.6568]], [[0.9018, 0.0023],... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 2.5 * Z(0) + 3.0 * Z(3) + 1.5 * Z(1) + -1.0 * Z(2) + -2.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-48.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.0, "smallest_bitstrings": ["01100011"], "largest_eigenvalue": 73.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.02033561922445927) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.02033561922445927) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.02033561922445927) q[2];
cx q[0], q[2];
rz(-1.0904508794533765) q[0];
rx(-1.3918607712073752) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
2.5,
3,
1.5,
-1,
-2,
-1.5,
4,
-12.5
] | 0.972252 | [
-0.02033561922445927,
-1.0904508794533765,
1.055304006344118,
1.1022288573420782,
1.6506512967533449,
1.4760983386336486,
1.5476974332698752,
-1.30212635577519,
-1.2415512013508558,
-1.3918607712073752,
0.29625920554545454,
0.21553265290304796,
0.8281149278783257,
1.5868965368529901,
0.5... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 34 |
2150338244522249270 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2]]} | {"states": [2, 10], "expectation_value": -0.45665024088846684, "params": null, "bitstrings": ["1101", "0101"], "total_optimization_steps": 17, "probabilities": [0.09375511611924202, 0.44013947087863636], "optimization_time": 8.885868072509766} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * Z(2) + 0.3333333333333333 * Z(0) + 0.16666666666666666 * Z(3) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666666, "smallest_bitstrings": ["0101"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
ry(-0.283667415388659) q[1];
cx q[0], q[1];
ry(0.283667415388659) q[1];
cx q[0], q[1];
h q[2];
ry(1.4951400423383272) q[2];
h q[3];
ry(-0.283667415388659) q[3];
cx q[0], q[3];
ry(0.283667415388659) q[3];
cx q[0], q[3];
ry(0.7060677272874667) q[0];
cx q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... | [
"IZIZ",
"ZZII",
"ZIIZ",
"IZZI",
"IIZZ",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666
] | 0.978009 | [
1.4951400423383272,
-0.567334830777318,
0.49635261162107247,
0.41943023133278856,
0.38244605422987965,
0.6194164679768569,
-0.49012265185492904,
-0.6651014290347088,
-0.04889376105490072,
0.0313802556399399,
0.02884885735583947,
-1.0217967263299559,
-0.546953541361432,
0.19905224417084166,... | {
"n_parameters": 15,
"n_qubits": 4,
"optimal_eigenvalue": -0.6666666666666667,
"target_ratio": 0.97,
"target_value": -0.6466666666666667
} | 15 |
9106470436006913530 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [2, 3], [0, 1], [1, 2], [0, 2], [0, 4], [1, 5], [4, 5], [2, 4]]} | {"states": [18, 22], "expectation_value": -2.1957919952703504, "params": null, "bitstrings": ["101101", "101001"], "total_optimization_steps": 38, "probabilities": [0.39745165547516664, 0.41973806078770864], "optimization_time": 36.96464276313782} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["101001", "100101", "010010", "101101", "010110", "011010"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(-0.13163382623829942) q[0];
rz(0.817149096937305) q[0];
rx(2.0810413471814955) q[1];
rz(0.40274318432728284) q[1];
rx(0.19159976195317366) q[2];
rz(-0.11261260073215063) q[2];
rx(0.2987301068914402) q[3];
rz(0.4383457522567493) q[3];
rx(2.0810413471814955) q[4];
rz(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... | [
"IIZIZI",
"IIZZII",
"IIIZZI",
"IIIIZZ",
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIZI",
"ZZIIII",
"IIZIII",
"IIIIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.971079 | [
-0.13163382623829942,
0.3352708583808112,
2.0810413471814955,
0.057452555156702265,
0.19159976195317366,
0.015446860997230749,
0.2987301068914402,
0.47588183686885,
0.6415555343731213,
0.1665056308990486,
0.41385188600409867,
-0.5890522858331865,
-0.07507216922420157,
-0.25611892345876314,... | {
"n_parameters": 29,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 35 |
21fdcfba9f355063e6fbbfbffe2b9aba | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [238, 234], "expectation_value": -75.99742576025656, "params": [0.6709, 0.343, 1.3926, 0.0017000000000000001, 1.3986, 0.0011, 1.3892, 0.2134, 0.3804, 0.5231, 1.3995, 0.21960000000000002, 0.7533000000000001, 0.43970000000000004, 1.3965, 0.07200000000000001, 0.0027, 1.0402, 0.674, 0.0016, 1.3988, 0.00030000000... | 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 8.0 * Z(0) + 14.0 * Z(3) + 25.0 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-96.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 194.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.30416408766386727) q[0];
rz(-0.05493257231016857) q[0];
rx(1.600862957177493) q[1];
rz(0.027042893657083206) q[1];
rx(1.688815178710619) q[2];
rz(0.0816201814043168) q[2];
rx(1.1626814289288523) q[3];
rz(0.1531816630310625) q[3];
rx(0.09852963285109603) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
8,
14,
25,
20.5,
2,
19,
9,
9.5,
-9
] | 0.979304 | [
0.30416408766386727,
0.4458139662877749,
1.600862957177493,
0.027042893657083206,
1.688815178710619,
0.0816201814043168,
1.1626814289288523,
0.1531816630310625,
0.09852963285109603,
0.585567141018743,
1.695779674309339,
0.36983357416516494,
0.22961230769394775,
0.32817989080656296,
1.612... | {
"n_parameters": 52,
"n_qubits": 9,
"optimal_eigenvalue": -96,
"target_ratio": 0.97,
"target_value": -93.12
} | 10 |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.7286648454919866, "params": [[-0.036500000000000005, -0.0247, -0.0514], [0.0449, 0.0262, 0.051500000000000004]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0058851011219851045, 0.0061563638334826394], "optimization_time": 4.... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.22157641917024928) q[0];
ry(0.00898152646378737) q[1];
ry(0.02472649820771007) q[2];
ry(0.05763287371265249) q[3];
ry(0.0036084805931868484) q[4];
ry(-0.04749337088044957) q[5];
ry(1.0911704212811806) q[6];
ry(0.2493891450036926) q[7];
cx q[7], q[0];
cx q[6], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
0.75,
-1.25,
-0.5,
-0.25,
1.5,
0.5,
1.25,
-1,
-1,
-0.5
] | 0.971183 | [
-0.22157641917024928,
0.00898152646378737,
0.02472649820771007,
0.05763287371265249,
0.0036084805931868484,
-0.04749337088044957,
1.0911704212811806,
0.2493891450036926,
-0.9012942735590549,
-0.24745318900433683,
-0.01707069937213386,
-0.08040860354516637,
-0.03283962223876556,
0.089752880... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 51 |
e8fdec38f32f10530d269f6547919d57 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [36, 26], "expectation_value": -0.08720587508398578, "params": [[-0.045200000000000004], [0.054400000000000004]], "bitstrings": ["011011", "100101"], "total_optimization_steps": 10, "probabilities": [0.016399730267398847, 0.01655901211340782], "optimization_time": 1.1186316013336182} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
e406f122c9b00528f4ddd8dd03d61067 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [844, 846], "expectation_value": -3.1283728611352015, "params": [0.49620000000000003, 0.496, 0.49570000000000003, 0.4973, 0.10060000000000001, 0.098, 0.49470000000000003, 0.4884, 0.0303, 0.030500000000000003, -0.0006000000000000001, -0.004200000000000001, 0.49610000000000004, 0.49660000000000004, 0.501, 0.49... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 13 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["0100110001", "0010110001", "0010110010", "0101010001", "1000110001", "0011010010"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7324893840416054) q[0];
rz(-0.1470235731435885) q[0];
rx(0.5882295235274103) q[1];
rz(0.00903064432231826) q[1];
rx(-0.15496819803023265) q[2];
rz(0.16920534762510897) q[2];
rx(1.1150770576582407) q[3];
rz(-0.06413991736941238) q[3];
rx(0.00690198510851904) 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": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIZZIIIIZ",
"IIIZZIZIII",
"IIIZZIZIIZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125... | 0.97792 | [
0.7324893840416052,
-0.1890873684029086,
0.5882295235274103,
-0.09930060178152415,
-0.15496819803023268,
0.12909221266052637,
1.1150770576582407,
-0.0039102523580491905,
0.006901985108519042,
-0.03951905108846494,
0.4228763866593093,
0.7048842654517478,
-0.20743144851447615,
-0.18992726256... | {
"n_parameters": 66,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 15 |
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": -0.06437833802837876, "params": [[-0.0422], [0.051300000000000005]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01656401341859387, 0.016710151523457565], "optimization_time": 1.8724417686462402} | 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 | 1 | {"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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q... | {"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 |
6e27c825b578bdc34d46b278685ce298 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 9}, {"capac... | {"states": [41, 169], "expectation_value": -22.975764125821065, "params": [[[-0.00030000000000000003, 1.6132, 0.006500000000000001, 0.0012000000000000001], [0.0175, 0.6433, -0.0086, 0.0037], [0.5731, 1.0559, 0.0002, 1.0509], [-0.0024000000000000002, 0.9405, -0.0029000000000000002, 0.0089], [1.05, 0.0111, 0.001300000000... | -0.5 * (Z(0) @ Z(3)) + -1.25 * (Z(7) @ Z(0)) + 2.0 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(7)) + -1.25 * (Z(2) @ ... | 12 | 10 | 3 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["1101010110"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.02588134688681191) q[0];
rz(-0.002875099022831489) q[0];
ry(-0.02588134688681191) q[1];
ry(-1.3144522944941073) q[2];
ry(0.05786322026437553) q[3];
ry(2.0039603991160697) q[4];
ry(-0.020815638617393103) q[5];
ry(3.115250672394726) q[6];
ry(-0.0454810203739918) 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIZIIIIIIZ",
"ZIIIIIIIIZ",
"IIIIIIZIZI",
"IIZIIIIIZI",
"IIZIZIIIII",
"IIIIZIIIZI",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIIZIIIII",
"IIIIIIZZII",
"IIZIIIIZII",
"IIIIIIIZZI",
"IIIIZIIZII",
"ZIIIIZIIII",
"IIIIIZIZII",
"IIIZIIZIII",
"IIIZIIIIZI",
"IIIZZIIIII"... | [
-0.5,
-1.25,
2,
-1,
-0.5,
-0.75,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.25,
-0.5,
-0.75,
-2,
-0.25,
-1.25,
-0.75,
-1,
-1,
-0.75,
-0.25,
-1,
1.25,
-1.25,
-1.75,
-2.75,
1,
1.25,
4.25
] | 0.982027 | [
-0.02588134688681191,
-1.3144522944941073,
0.05786322026437553,
2.0039603991160697,
-0.020815638617393103,
3.115250672394726,
-0.0454810203739918,
1.5273488783416482,
-0.005750198045662978,
2.8598473440870893,
2.277316628375472,
-0.9628406402643637,
2.8897114141337714,
0.6971036435387551,
... | {
"n_parameters": 33,
"n_qubits": 10,
"optimal_eigenvalue": -24.25,
"target_ratio": 0.97,
"target_value": -23.5225
} | 8 |
d7c6790c5da24a95b7d7ccc603696be1 | 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": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3819, 3811], "expectation_value": -2.5849026141990534, "params": [[[0.7070000000000001, -0.0011], [0.6969000000000001, -0.0007], [0.7051000000000001, 0.0018000000000000002], [-0.00030000000000000003, 0.4922], [0.6954, -0.0008], [0.6987, -0.001], [0.6953, -0.0022], [0.29560000000000003, -0.1957], [0.4828, -0... | 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)) + 0.0625 * (... | 1 | 12 | 3 | {"smallest_eigenvalues": [-5.1875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1875, "smallest_bitstrings": ["000100011100"], "largest_eigenvalue": 6.8125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rz(-2.042576511166878) q[0];
ry(2.9516185610359154) q[0];
rz(0.9781812174355657) q[0];
rz(-0.7595970554423728) q[1];
ry(2.9344144666440464) q[1];
rz(2.0332187945667615) q[1];
rz(2.129448041129489) q[2];
ry(2.8498789489908316) q[2];
rz(-0.012973239456647967) q[2];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIIZZZI",
"IIIIIIIIZZZZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIIIZIIIIIIZ",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIIIZIIZI... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.970928 | [
2.0007015295531945,
0.08890450790596802,
1.5831877681804842,
-0.1509953414846304,
1.779806099617345,
0.17032497022569815,
-0.08618477898821827,
0.007610363035226941,
1.3953517357996654,
0.3569678024150195,
1.6288887677370536,
0.06255476142738838,
1.6586728641093669,
0.03370624834174879,
... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -5.1875,
"target_ratio": 0.97,
"target_value": -5.031874999999999
} | 37 |
199774378666556344 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 3], [1, 5], [3, 5], [3, 4], [4, 5], [0, 4]]} | {"states": [31, 26], "expectation_value": -2.0903417501757064, "params": null, "bitstrings": ["100000", "100101"], "total_optimization_steps": 36, "probabilities": [0.041574363371893394, 0.8350337070730959], "optimization_time": 30.802338361740112} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["100101", "011010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.0836457492114554) q[0];
h q[1];
ry(0.7104814123738387) q[1];
h q[2];
h q[3];
ry(-0.0836457492114554) q[3];
h q[4];
cx q[4], q[0];
ry(0.0836457492114554) q[0];
cx q[4], q[0];
ry(-0.9261070341127813) q[0];
ry(1.1975708719103555) q[4];
h q[5];
cx q[5], q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], 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 ... | [
"IIZZII",
"IIZIZI",
"ZIZIII",
"ZIIIZI",
"IZZIII",
"ZZIIII",
"IZIIIZ",
"IIZIII",
"IIIZII",
"IIIIZI",
"ZIIIII",
"IZIIII",
"IIIIIZ"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0
] | 0.970685 | [
-0.1672914984229108,
0.9244570557291099,
-0.6307856460033063,
-0.542779959269995,
1.4802823378717442,
1.4209628247476773,
-0.6291214731887191,
0.5462276323624908,
-1.1924686948088452,
0.24360221744679178,
-0.5906427762189499,
0.466112196383633,
0.3340614585924717,
-0.3775925970186493,
-0... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 15 |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 38], "expectation_value": -0.26679279366858516, "params": [[0.0135, 0.0386, 0.049300000000000004], [-0.009000000000000001, -0.033100000000000004, -0.0397]], "bitstrings": ["100111", "011001"], "total_optimization_steps": 10, "probabilities": [0.01751558738613566, 0.018259826929363787], "optimization_tim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-3.0276657592090853e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-3.0276657592090853e-08) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[4];
rz(-3.0276657592090853e-08) q[4];
cx q[2], q[4];
rz(1.5707962011... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"ZIIIZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IZIIZI",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-1
] | 0.777778 | [
-3.0276657592090853e-8,
1.5707962011345744,
-1.5707963261737141,
1.5707962746941437,
1.570796338750851
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 149 |
5ca04f1f68578073d0992d728781edf5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [243, 247], "expectation_value": -13.499798208610281, "params": [[[-0.0026000000000000003, 3.1387], [-0.0028, -0.0032], [-0.0025, -0.003], [-0.0028, -0.0027], [-1.5868, -0.0025], [-1.5672000000000001, -0.0021000000000000003], [-0.0025, -0.0021000000000000003], [-0.0026000000000000003, -0.0024000000000000002]... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 1.0 *... | 15 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000100", "00001000"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.029891878875727283) q[0];
ry(-0.004793446558857517) q[1];
ry(-0.021386295112293105) q[2];
ry(-0.004793446558857517) q[3];
ry(-0.9440426881664192) q[4];
ry(-1.9442936110008266) q[5];
ry(-0.021386295112293105) q[6];
ry(0.029891878875727283) q[7];
cx q[7], q[0];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIZIIZII",
"IIZIIIIZ",
"IIZIZIII",
"IIZIIIZI",
"IIZZIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII"
] | [
-2.5,
-2.5,
-1.5,
-3,
0.5,
0.5,
0.5,
-2,
-3,
0.5,
0.5,
0.5,
0.5,
-1,
1,
0.5,
0.5,
1,
-1.5,
-1.5,
0.5,
0.5
] | 0.970692 | [
0.029891878875727283,
-0.004793446558857517,
-0.021386295112293105,
-0.9440426881664192,
-1.9442936110008266,
3.148250040340883,
-0.002687143594334005,
-0.019038609197378722,
-0.017419529202770165,
-0.05453801214441066,
-0.025311900606496414
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 33 |
6317467715134932870 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 4, 6], [2, 4, 6], [0, 4, 6], [0, 1, 4, 5], [0, 2, 3, 4, 5]]} | {"states": [116, 124], "expectation_value": -1.334217877300633, "params": null, "bitstrings": ["0001011", "0000011"], "total_optimization_steps": 35, "probabilities": [0.06370605825678542, 0.8904076893324525], "optimization_time": 46.29720640182495} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.05 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.3666666666666665, -1.3666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.2833333333333334, "smallest_bitstrings": ["0000011", "0000100"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[1];
rz(-0.07233455166438953) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.016658062882314625) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.030231841781025635) q[4];
cx q[1], q[4];
h q[5];
h q[6];
cx q[3], q[6];
rz(-0.07233455... | 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(1.5344) 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", "... | [
"IIIZIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IIIZZII",
"IIZIZII",
"ZIIIZII",
"IIIZIIZ",
"IIIIIZZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZIZ",
"IZIZIII",
"IZIIIZI",
"IZZIIII",
"IZIIZII",
"IZIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII",
"III... | [
0.08333333333333333,
0.13333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.05,
0.21666666666666667,
0.16666666666666666,
0.05,
0.08333333333333333,
0.3,
0.16666666666666666,
0.05,
0.05,
0.08333333333333333,
0.13333333333333333,
0... | 0.976722 | [
-0.07233455166438953,
-0.016658062882314625,
-0.030231841781025635,
-0.09652191601048916,
-0.03023851586104679,
-0.022817915643592146,
-0.13363421312979792,
-1.225580768153649,
-1.6055341408979535,
1.6950767262984596,
-1.6088203150548623,
-1.4547966461055613,
-1.2991619413314293,
1.5326588... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -1.3666666666666665,
"target_ratio": 0.97,
"target_value": -1.3256666666666665
} | 60 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [9, 11], "expectation_value": -4.47009519176241, "params": [[[-0.0056, 0.7802], [-0.0032, 0.9645], [-0.4944, 0.042300000000000004], [-0.0044, 0.9597], [-0.4927, 0.11800000000000001], [0.7793, -0.0009000000000000001]], [[-0.0012000000000000001, 0.9054000000000001], [-0.0002, 0.9640000000000001], [-0.4917, 0.1... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
1979379391338381979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3, 7], [2, 3], [0, 2, 4], [1, 2], [5, 7], [0, 2, 6], [1, 6, 7]]} | {"states": [214, 222], "expectation_value": -0.05762344434819007, "params": [[-0.06720000000000001], [0.0729]], "bitstrings": ["00101001", "00100001"], "total_optimization_steps": 10, "probabilities": [0.004267599829586582, 0.004293873824633466], "optimization_time": 5.4587860107421875} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00100001"], "largest_eigenvalue": 5.5} | 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[1];
rz(-0.14057884448037314) q[1];
cx q[3], q[1];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(-0.14057884448037314) q[7];
cx q[3], q[7];
cx q[1], q[7];
cx q[3], q[2];
rz(-0.9376483322479989) q[2];
cx q[3], q[2];
rz(-0.140... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[1], q... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIZI",
"IIIIZZII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIZIIIZ",
"ZIZIIIII",
"IZIIIIZI",
"ZZIIIIII",
"IZIIIZII",
"IZIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0.3333333333333335,
0.3333333333333335,
... | 0.479612 | [
-0.14057884448037314,
-0.49744522119777984,
-0.9376483322479989,
0.4759688925953589,
0.7907951316127015
] | {
"n_parameters": 5,
"n_qubits": 8,
"optimal_eigenvalue": -2.833333333333333,
"target_ratio": 0.97,
"target_value": -2.748333333333333
} | 134 |
-2032378522809974974 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 6, 7, 9, 10], [0, 1, 2, 3, 6, 7], [0, 1, 10, 7], [1, 4, 5, 6, 8, 10], [0, 3, 5, 8, 9], [0, 1, 2, 5, 6, 9], [1, 2, 3, 4, 5, 7, 8, 9], [10, 2, 5, 7], [9, 10, 1, 6], [8, 10, 3], [0, 3, 5, 7, 9], [0, 2, 4, 5, 9, 10], [8, 9, 4, 6], [1, 3, 4, 5, 6], [0... | {"states": [1243, 1499], "expectation_value": -3.3842543107660257, "params": [1.0813000000000001, -0.4733, 0.9988, 0.0059, 0.4937, -0.6633, 0.48650000000000004, 0.009000000000000001, 0.8027000000000001, 0.467, 0.9904000000000001, 0.0064, 1.5802, 0.0591, 1.5749, 0.0053, 1.5969, -0.048100000000000004, 1.5625, 0.001200000... | 0.16785714285714287 * (Z(0) @ Z(2)) + 0.06904761904761905 * (Z(3) @ Z(2)) + 0.1511904761904762 * (Z(3) @ Z(0)) + 0.06904761904761905 * (Z(4) @ Z(2)) + 0.05119047619047619 * (Z(4) @ Z(0)) + 0.16904761904761906 * (Z(4) @ Z(3)) + 0.08452380952380953 * (Z(6) @ Z(2)) + 0.16785714285714287 * (Z(6) @ Z(0)) + 0.317857142857142... | 7 | 11 | 1 | {"smallest_eigenvalues": [-3.877380952380952], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7964285714285695, "smallest_bitstrings": ["01000100100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.3193281086999693) q[0];
rz(-0.3580505366341553) q[0];
rx(0.2583496802009674) q[1];
rz(-0.4135554858584193) q[1];
cx q[1], q[0];
rz(0.353387082472669) q[0];
cx q[1], q[0];
rx(1.3645288759307295) q[0];
rz(0.2959593446368388) q[0];
rx(-0.027660315112815248) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZZIIIIII",
"IZIIIIIIZII",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIIIIZII... | [
0.16785714285714287,
0.06904761904761905,
0.1511904761904762,
0.06904761904761905,
0.05119047619047619,
0.16904761904761906,
0.08452380952380953,
0.16785714285714287,
0.31785714285714284,
0.26785714285714285,
0.20238095238095238,
0.23452380952380952,
0.16904761904761906,
0.0357142857142857... | 0.977992 | [
1.3193281086999695,
-0.004663454161486391,
0.2583496802009674,
-0.4135554858584193,
0.9122159550998574,
0.49631725080364386,
1.7161433769156236,
0.04561092335048454,
1.6711192905977617,
0.07869741769911921,
0.1050575492843322,
-0.5306519552864895,
1.723021182012455,
-0.010257190969950064,
... | {
"n_parameters": 51,
"n_qubits": 11,
"optimal_eigenvalue": -3.877380952380952,
"target_ratio": 0.97,
"target_value": -3.7610595238095232
} | 12 |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [44, 42], "expectation_value": -0.34007140810953007, "params": [[0.0724, 0.0709], [-0.079, -0.0775]], "bitstrings": ["010011", "010101"], "total_optimization_steps": 10, "probabilities": [0.020069244219739903, 0.020868763024292723], "optimization_time": 2.0417287349700928} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "010110"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IZIIZI",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
0,
-1,
-0.5,
-0.5
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
7d377871db785144e96b2ab337be680a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "... | {"states": [4095, 3855], "expectation_value": -0.4681259310716204, "params": [[-0.028900000000000002], [0.0364]], "bitstrings": ["000000000000", "000011110000"], "total_optimization_steps": 10, "probabilities": [0.0002873817267148682, 0.00028912654755855574], "optimization_time": 2.6871228218078613} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2... | 1 | 12 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["000011110000"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
ry(0.18509444934247513) q[1];
cx q[0], q[1];
ry(-0.18509444934247513) q[1];
cx q[0], q[1];
ry(1.0674586825021453) q[0];
ry(1.4068478114954492) q[1];
cx q[1], q[0];
ry(-0.2080590051555376) q[0];
cx q[1], q[0];
h q[2];
h q[3];
ry(0.003386410210256055) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIZIZIIIII",
"IIIIZIIZIIII",
"IIIIIIZZIIII",
"IIIIZZIIIIII",
"IIIIIZZIIIII",
"IIIIIZIZIIII",
"IIZZIIIIIIII",
"ZIZIIIIIIIII",
"ZIIZIIIIIIII",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZZIIIIIII... | [
-2,
1,
-2,
-2,
1,
-2,
-2.5,
0.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
-1,
-2,
1,
1,
0.5,
0.5,
0.5,
0.5
] | 0.973754 | [
-1.7676569645463387,
-1.5028631924424154,
0.00677282042051211,
1.620542615969809,
0.37018889868495025,
-0.5795422684340451,
-0.04554828588113289,
0.348686757097214,
0.14101681652508682,
1.255460380477157,
0.8593996773466078,
1.4068478114954492,
1.3698415564020194,
0.09983841096403429,
-1... | {
"n_parameters": 57,
"n_qubits": 12,
"optimal_eigenvalue": -23.5,
"target_ratio": 0.97,
"target_value": -22.794999999999998
} | 70 |
544944462949192911 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [0, 1], [2, 6], [3, 6], [4, 7]]} | {"states": [177, 188], "expectation_value": -0.004257721770502515, "params": [[-0.0172], [0.024800000000000003]], "bitstrings": ["01001110", "01000011"], "total_optimization_steps": 10, "probabilities": [0.003939609878950537, 0.003939609878950537], "optimization_time": 1.2456674575805664} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["01111100", "10000011", "10001110", "01110001", "01001110", "01000011", "10111100", "10110001"], "largest_eigenvalue": 2.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.131402976638093) q[0];
cx q[1], q[0];
rz(-9.569655290420087e-09) q[0];
rx(0.7853981732227725) q[0];
rz(-9.569655290420087e-09) q[1];
rx(0.7853981732227725) q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(-1.1314029766... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6]... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIII",
"IIIIIIZZ",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.696999 | [
-1.131402976638093,
-9.569655566672296e-9,
0.7853981732227724
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 101 |
4ca1393616004ac480be815837cf0f97 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target":... | {"states": [838, 870], "expectation_value": -4.025383945555113, "params": [0.8725, 0.0035, 0.8708, 0.0055000000000000005, 0.8991, -0.0001, 0.9029, 0.0022, 0.16090000000000002, 0.3768, 0.1583, 0.0077, 0.91, 0.1119, 0.9106000000000001, 0.0017000000000000001, 0.868, -0.0033, 0.867, 0.0053, -0.0021000000000000003, 0.468, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -2.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(... | 7 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010011001", "1000110001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.7104783144614863) q[0];
rz(0.0958452309462614) q[0];
rx(1.318225799552372) q[1];
rz(0.130006780378648) q[1];
cx q[1], q[0];
rz(0.07334025686040611) q[0];
cx q[1], q[0];
rx(1.155970597356544) q[0];
rz(0.6107177574663594) q[0];
rx(1.9707778244204606) q[1];
rz(0.1112... | OPENQASM 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": []} | [
"IIIIIIIZIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIIZIIIZI",
"IIIIIZIZII",
"IIIZIZIIII",
"IIIIZIZIII",
"ZIIIZIIIII",
"ZIIIIIZIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-2,
0,
-0.5,
-0.5,
-1,
0,
0
] | 0.973282 | [
1.7104783144614863,
0.16918548780666762,
1.318225799552372,
0.130006780378648,
0.1363885204369259,
0.10325551567411105,
1.480151002769039,
0.3678781491632056,
1.170736198472967,
-0.24994386900657692,
-0.11675178152067854,
0.2748484306882366,
-0.13245035394606983,
0.5287412912889426,
1.73... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 23 |
bfcc016c6d32554855d911056b5152b6 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [9, 1], "expectation_value": -18.358112019780762, "params": null, "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 58, "probabilities": [0.093312461517512, 0.6817468038862153], "optimization_time": 84.48646450042725} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(6)) + 4.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 25.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.3752757109842413) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.415074937944226) q[5];
ry(-0.43331589186150515) q[6];
rz(-pi) q[6];
h q[7];
ry(1.58887715244145) q[7];
cx q[7], q[6];
ry(0.05190789413979533) q[6];
cx q[7], q[6];
cx q[7], q[0];
ry... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.4397) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IIIIZZII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"IZIZIIII",
"IIIZZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIIZIII",
"ZIIIIII... | [
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.5,
-1,
-1,
-0.25,
-0.5,
-0.5,
-1.5,
4.25,
-1,
-1.75,
-0.75,
1.75,
-0.25,
0,
-1.5,
-5,
-0.25,
3.25,
2
] | 0.971231 | [
-1.085572540793596,
1.58887715244145,
-0.9373400288341168,
-0.10381578827959066,
-0.5163611739530768,
-0.36661780541500905,
-1.415074937944226,
-0.18803730139083544,
-0.3358265592031672,
0.0757377937923358,
-1.7289304795650944,
-1.550591774428836,
-1.498222114092371,
0.04077677087104195,
... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 19 |
339a57bb1c23f4470580bb80982f1c3f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [74, 90], "expectation_value": -3.3487518161477463, "params": [[[0.9115000000000001, -0.0024000000000000002], [0.2189, -0.34890000000000004], [0.8607, 0.0039000000000000003], [0.9042, 0.0011], [0.1272, -0.3845], [0.9036000000000001, 0.0006000000000000001], [0.0029000000000000002, 0.4923]], [[0.9051, 0.0089],... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100101"], "largest_eigenvalue": 10.0} | 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(-0.24399435750260243) q[0];
cx q[4], q[0];
h q[5];
h q[6];
cx q[4], q[6];
rz(-0.24399435750260243) q[6];
cx q[4], q[6];
cx q[0], q[6];
cx q[4], q[2];
rz(-0.24399435750260243) q[2];
cx q[4], q[2];
rz(-0.4570477093... | OPENQASM 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": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIZII",
"ZIIIZII",
"IIIIZZI",
"ZZIIIII",
"IZIIIZI",
"ZIIZIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-1,
-0.5,
-0.5,
0
] | 0.725215 | [
-0.24399435750260243,
-0.45704770933237593,
-0.01048511914444058,
-1.983428147922709,
1.0355564279624263,
-1.696110385038197,
0.47323241007407796,
-0.7393798823739974,
-0.30298022667189894,
-4.559184617511286,
-0.6465996571458984
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 455 |
cb2d5cacc34fdd8ea2bb854f18413d55 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3228, 3224], "expectation_value": -161.14195889519772, "params": [0.6927, 0.0018000000000000002, 0.7018, 0.1389, 0.1282, 0.30810000000000004, -0.0047, 0.3879, 0.6976, 0.006500000000000001, -0.0037, 0.4274, 0.0978, 0.2853, 0.6933, 0.0047, 0.7051000000000001, -0.018500000000000003, 0.33330000000000004, -0.176... | 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(3) @ Z(8)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(0)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(10)... | 18 | 12 | 4 | {"smallest_eigenvalues": [-178.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.5, "smallest_bitstrings": ["001101100111"], "largest_eigenvalue": 246.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.458565417436229) q[0];
rz(-0.24851224924630255) q[0];
rx(1.3856325778258323) q[1];
rz(0.45014269260870704) q[1];
rx(0.006405252950497625) q[2];
rz(0.47565619342625587) q[2];
rx(0.079789872702321) q[3];
rz(0.8975647631238844) q[3];
rx(1.7895164440088611) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIIIZZ",
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIZIIIIZIII",
"IIIZIZIIIIII",
"IIIIZIIIIIIZ",
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"IIZIIIIIIIIZ",
"IIZIIIIZIIII",
"IIZIZIIIIIII",
"IZIIIIIIIIZI",
"IIIIIIIIIZII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
1,
15.5,
31,
23.5,
-6.5,
16,
-7,
0.5,
31,
10.5,
-4.5,
-15.5
] | 0.974519 | [
1.4585654174362288,
0.042066443556872384,
1.3856325778258323,
0.45014269260870704,
0.006405252950497625,
0.47565619342625587,
0.079789872702321,
0.8975647631238844,
1.7895164440088611,
0.06823316847894188,
-0.021904070686529373,
1.2502312374509053,
-0.06474882256675882,
-0.1760075935973808... | {
"n_parameters": 67,
"n_qubits": 12,
"optimal_eigenvalue": -178.5,
"target_ratio": 0.97,
"target_value": -173.14499999999998
} | 11 |
5656897463763334713 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5, 6], [0, 2, 4, 5, 6], [3, 4, 5, 6], [2, 3, 4, 5], [0, 1, 4, 5]]} | {"states": [39, 55], "expectation_value": -1.080074248643988, "params": [[[0.2409, 0.00030000000000000003], [1.85, 0.0036000000000000003], [1.602, 0.0002], [0.2306, 0.004], [3.1438, 0.001], [3.1438, 0.008700000000000001], [3.1444, 0.0033]]], "bitstrings": ["1011000", "1001000"], "total_optimization_steps": 400, "probab... | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2, -1.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1166666666666667, "smallest_bitstrings": ["0000010", "1001000"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.20866915873235167) q[0];
rz(0.4500676887067053) q[0];
rx(2.3349164073992394) q[1];
rz(0.2246999998260425) q[1];
rx(2.5774993079035657) q[2];
rz(0.07933174762666684) q[2];
rx(-0.17650247211596898) q[3];
rz(0.19880342330083844) q[3];
rx(3.1398796839531804) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"ZZIIIII",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZIIIZ",
"IZIIIZI",
"IIIIIZZ",
"IIZIIZI",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIIIIZ",
"IIZIIII",
"IIIIIZI"
] | [
0.16666666666666666,
0.25,
0.21666666666666667,
0.16666666666666666,
0.13333333333333333,
0.21666666666666667,
0.05,
0.13333333333333333,
0.05,
0.16666666666666666,
0.13333333333333333,
0.3,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.0833333... | 0.970336 | [
-0.20866915873235167,
0.4500676887067053,
2.3349164073992394,
0.2246999998260425,
2.5774993079035657,
0.07933174762666684,
-0.17650247211596898,
0.19880342330083844,
3.1398796839531804,
-0.2382185694833568,
-0.41671878757354575,
3.2146127791074743,
0.005279664475504028
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -1.2,
"target_ratio": 0.97,
"target_value": -1.164
} | 9 |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -22.350371316744017, "params": [-0.3796, 1.1635, -0.065, 0.6474000000000001, -0.5167, 1.2610000000000001, 0.33490000000000003, 0.7592, -0.5574, 1.0823, -0.4529, 1.5689000000000002, -0.6910000000000001, 1.1691, -0.7030000000000001, 1.4375, 0.3645, 1.0409000000000002, -0.1019, 1.... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"], "largest_eigenvalue": 26.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.9170231262339931) q[0];
rz(1.6663066684833927) q[0];
rx(-0.0050215654850718295) q[1];
rz(-2.3265054073058105) q[1];
rx(-0.8955155374897494) q[2];
rz(1.5481495289294038) q[2];
rx(-3.0551372542267763) q[3];
rz(1.45515896271446) q[3];
rx(0.06164310570994425) 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZIIZIIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IZIZIIIII",
"IZIIZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-1.5,
-2,
-2,
0.5,
0.5,
-2,
-2.5,
-3,
0.5,
-3,
0.5,
-2,
1.5,
0.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
1.5,
1.5,
-2.5
] | 0.972987 | [
0.9170231262339931,
0.09551034168849609,
-0.005021565485071829,
2.3858835730788797,
-0.8955155374897495,
-0.02264679786549267,
-3.0551372542267763,
-0.11563736408043661,
0.061643105709944246,
-2.657294261119828,
-0.010240035117141883,
1.147392939419517,
0.014733353398927345,
1.538141859158... | {
"n_parameters": 39,
"n_qubits": 9,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 102 |
15a5f37f6b324be94a7fa874923284e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -22.347927280266347, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 93, "probabilities": [0.08328509149000893, 0.6008720326604672], "optimization_time": 209.53301453590393} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2... | 10 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08660647235805458) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.08660647235805458) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.08660647235805458) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.08660647235805458) q[3];
cx q[1], ... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.25,
-7,
-7.25,
-7.25,
-6.5,
-6.5,
-6.25
] | 0.9711 | [
-0.08660647235805458,
-0.12731865885304094,
0.486571998827358,
0.7706787253710705,
-0.8608749269636787,
-0.3691202591452013,
0.9610136853971378,
-0.12372097609642718,
0.008478123483654525,
1.277526397553868,
0.6268134313552999,
-0.10538367740546278,
-0.7851989999830177,
0.6744201652912936,... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 86 |
-4845368803742552712 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 6], [0, 2, 3, 4, 7, 9], [8, 1, 2, 5], [4, 6], [9, 3, 4, 1], [9, 2, 5, 7], [9, 2, 3, 5], [1, 5, 6, 7, 8, 9], [1, 2, 3], [0, 1, 3, 5, 8], [0, 2, 3, 4, 8, 9]]} | {"states": [758, 246], "expectation_value": -2.4535322091700102, "params": [1.2914, -0.3729, 0.6914, 0.0057, 1.0570000000000002, -0.31720000000000004, 0.7513000000000001, 0.0071, 1.3005, 0.1082, 1.1013, 0.0001, 1.2889000000000002, 0.1442, 1.2877, 0.0025, 1.2947, 0.1495, 1.2953000000000001, 0.0057, 1.2988, 0.1265, 0.975... | 0.5 * (Z(3) @ Z(6)) + 0.11666666666666667 * (Z(0) @ Z(3)) + 0.31666666666666665 * (Z(2) @ Z(3)) + 0.06666666666666667 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.15 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(4) @ Z(0)) + 0.06666666666666667 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(7) @ Z(6)) + 0.03333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.9499999999999993], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9333333333333345, "smallest_bitstrings": ["1100001001"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.1982856084385218) q[0];
rz(0.846562190728871) q[0];
rx(0.30383776422338493) q[1];
rz(1.479123213563014) q[1];
rx(1.9807484841096297) q[2];
rz(1.7961130893589585) q[2];
rx(2.1030641947090376) q[3];
rz(1.6340142320164812) q[3];
rx(1.9731744020910522) q[4];
rz(1.6863... | OPENQASM 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": []} | [
"IIIZIIZIII",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIIIZIZ",
"IIIZIZIIII",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIZIIII",
"ZIIZIIIIII",
"ZIIIIIZIII",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIZIIIIIII",
"IZIZIIIIII"... | [
0.5,
0.11666666666666667,
0.31666666666666665,
0.06666666666666667,
0.5,
0.15,
0.06666666666666667,
0.06666666666666667,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.11666666666666667,
0.03333333333333333,
0.03333333333333333,
0.23333333333333334,
0.0666666666666666... | 0.971247 | [
1.1982856084385218,
-0.7242341360660254,
0.303837764223385,
-0.09167311323188235,
1.9807484841096297,
0.22531676256406194,
2.1030641947090376,
0.06321790522158445,
1.9731744020910522,
0.11551809593480722,
1.778806255991565,
0.14664355481968175,
0.5465877113803929,
0.18228089639523576,
2.... | {
"n_parameters": 46,
"n_qubits": 10,
"optimal_eigenvalue": -2.9499999999999993,
"target_ratio": 0.97,
"target_value": -2.861499999999999
} | 181 |
498e6455e0b42f4419f3d681ee1f87f9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [92, 94], "expectation_value": -4.469267975165732, "params": [-0.0057, -0.0068000000000000005, 0.0004, -0.0246, -0.0071, -0.0004, 0.9018, 0.9058, 0.7131000000000001, 0.7099000000000001, 0.8986000000000001, 0.8991, 0.9051, 0.906, 0.9048, 0.9091, 0.8540000000000001, 0.8547, 0.0771, 0.0858, -0.4333, 0.0088, 0.4... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + -1.5 * Z(0) + 0.0 * ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010110001", "1110000011", "1010010011", "1110100001"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.12725583464691007) q[0];
rz(-0.06938166502163293) q[0];
ry(-0.26131195540789054) q[1];
ry(0.16596964811195175) q[2];
ry(1.580540461930184) q[3];
ry(0.13538823856814108) q[4];
ry(1.6542815683326462) q[5];
ry(1.6025368470889154) q[6];
ry(1.6260564110351983) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIIZIIIZI",
"IIIIZIIZII",
"ZIIIIIIIZI",
"ZIZIIIIIII",
"ZIIIZIIIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIZIIIIII",
"IIZIIIIIII",
"IIIIIIIZII",
"IIIIZIIIII"... | [
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,
0,
-0.5,
-0.5,
-1.5,
-1,
-1,
-0.5,
0
] | 0.974663 | [
-0.12725583464691007,
-0.26131195540789054,
0.16596964811195175,
1.580540461930184,
0.13538823856814108,
1.6542815683326462,
1.6025368470889154,
1.6260564110351983,
1.2515881501528154,
-0.14887986613877852,
-0.13876333004326585,
-0.1747080208731152,
0.05373980099971515,
-0.2871087439425863... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 21 |
42c8a30369b7a75bc5bed2e6569b1f7f | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [3, 55], "expectation_value": -3.182294119113326, "params": [[0.1145], [-0.1173]], "bitstrings": ["11111100", "11001000"], "total_optimization_steps": 20, "probabilities": [0.00925763770739904, 0.00935225866771337], "optimization_time": 2.274662494659424} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
b6e0c3c301837e1bade2ecec75b88187 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [77, 79], "expectation_value": -71.0084695879996, "params": [0.0534, 0.0603, 0.1907, 0.1897, 0.5062, 0.5025000000000001, -0.0063, -0.0126, 0.0049, 0.0001, 0.5197, 0.5369, 0.4636, 0.4863, 0.42060000000000003, 0.4559, 0.4812, 0.39490000000000003, 0.039900000000000005, 0.0492, 0.18710000000000002, 0.1814, 0.510... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 18.0 * Z(1) + 9.5 * Z(2) + -3.0 * Z(3) + 14.5 * Z(5) + 1.5 * Z(6) + -6.5 * Z(0) + 12.5 * Z(7) + 15.0 * Z(8) + -13.0 * Z(4) | 14 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["110110000"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0872231744192288) q[0];
rz(pi/2) q[0];
ry(0.08858792232188245) q[1];
ry(0.6995782202600139) q[2];
ry(0.2043813744789022) q[3];
ry(-0.13567306135494012) q[4];
ry(0.6143652276288366) q[5];
ry(0.5644113377415029) q[6];
ry(0.5228241574866417) q[7];
ry(0.591275410846392... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x11;
input float[64] x12;
inp... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIZIIIZI",
"IIZIIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
18,
9.5,
-3,
14.5,
1.5,
-6.5,
12.5,
15,
-13
] | 0.971168 | [
0.0872231744192288,
0.08858792232188245,
0.6995782202600139,
0.2043813744789022,
-0.13567306135494012,
0.6143652276288366,
0.5644113377415029,
0.5228241574866417,
0.5912754108463921,
-0.4122014800606581,
-0.048314224454686826,
0.4551848680413778,
0.2532073355770716,
0.39554507819663887,
... | {
"n_parameters": 108,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 38 |
97e359edb03931ec167922719eaf9db2 | 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": [38314, 21930], "expectation_value": -2.0003548111784375, "params": [[[3.1619, 0.0043], [-1.6134000000000002, 0.0071], [3.1608, 0.0032], [-1.6196000000000002, 0.006], [3.1602, 0.0001], [1.6178000000000001, 0.0066], [3.1617, 0.002], [1.0869, 0.0031000000000000003], [3.1614, 0.0063], [1.6288, 0.0043], [3.15840... | 0.25 * (Z(0) @ Z(1)) + -0.00075 * (Z(2) @ Z(0)) + -0.00075 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ Z(0)) + -0.00050000000000000... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.023249999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0232499999999027, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0149999999999686} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.2376858432256825) q[0];
rz(-0.05495760857254903) q[0];
rx(-1.556897621097042) q[1];
rz(-0.05319227686067406) q[1];
rx(3.2643052268136024) q[2];
rz(0.0828683636583245) q[2];
rx(-1.3411514991045226) q[3];
rz(-0.01456670440382359) q[3];
rx(3.163477954271609) 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,
-0.00075,
-0.00075,
0.25,
0.00025000000000000006,
-0.00075,
0.00025000000000000006,
-0.00075,
0.25,
-0.0008749999999999999,
-0.0005000000000000001,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0005000000000000001,
-0.0008749999999999999,
0.25,
0.00012500000000000003,
0.... | 0.985937 | [
3.2376858432256825,
-0.05495760857254903,
-1.556897621097042,
-0.05319227686067406,
3.2643052268136024,
0.0828683636583245,
-1.3411514991045226,
-0.01456670440382359,
3.163477954271609,
0.013134715945305148,
1.5889917897985717,
0.2469886356713712,
3.1179554487308945,
0.08247483357747498,
... | {
"n_parameters": 29,
"n_qubits": 16,
"optimal_eigenvalue": -2.023249999999964,
"target_ratio": 0.97,
"target_value": -1.962552499999965
} | 1 |
-1124985461874017844 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 6], [0, 2, 5, 6, 8], [0, 1, 3, 4, 7], [8, 1, 3, 0], [1, 4, 5], [1, 2, 4], [8, 1, 2], [8, 3, 4, 5], [8, 1, 0, 7], [8, 0, 2, 4], [1, 3, 4, 6], [8, 2, 6, 7]]} | {"states": [492, 494], "expectation_value": -0.3887313522295103, "params": [0.794, 0.0039000000000000003, 0.7933, 0.0019, 0.7994, -0.0031000000000000003, 0.8015, 0.0073, 0.8067000000000001, 0.003, 0.8032, 0.0085, 0.8061, -0.004, 0.8049000000000001, 0.0004, 0.7951, 0.0041, 0.7988000000000001, 0.0064, 0.7983, -0.00310000... | 0.41666666666666663 * (Z(8) @ Z(1)) + 0.55 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.3 * (Z(0) @ Z(8)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(6)) + 0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.900000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.733333333333334, "smallest_bitstrings": ["000010001"], "largest_eigenvalue": 12.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.6212934765978505) q[0];
rz(1.5524188457557724) q[0];
rx(1.3869489729361004) q[1];
rz(1.560669938118381) q[1];
rx(1.869564645041677) q[2];
rz(1.648386504584968) q[2];
rx(1.869085364054628) q[3];
rz(1.6716170293490178) q[3];
rx(2.625591751952055) q[4];
rz(1.652082733... | OPENQASM 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": []} | [
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIIZIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIZIIII",
"IIIIIIIZZ",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIIIIZZI",
"ZIIIIIZII",
"IIIIZIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIZIIIZI",
"ZIIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"... | [
0.41666666666666663,
0.55,
0.25,
0.16666666666666666,
0.21666666666666667,
0.16666666666666666,
0.21666666666666667,
0.3,
0.13333333333333333,
0.05,
0.3333333333333333,
0.3833333333333333,
0.25,
0.13333333333333333,
0.13333333333333333,
0.16666666666666666,
0.13333333333333333,
0.2... | 0.973032 | [
0.6212934765978503,
-0.018377481039124722,
1.3869489729361002,
-0.01012638867651567,
1.869564645041677,
0.07759017779007163,
1.869085364054628,
0.10082070255412123,
2.625591751952055,
0.08128640635027562,
2.050961384700314,
1.4933994709659784,
-0.0771879048582506,
1.136004759137435,
-0.0... | {
"n_parameters": 40,
"n_qubits": 9,
"optimal_eigenvalue": -2.900000000000001,
"target_ratio": 0.97,
"target_value": -2.8130000000000006
} | 205 |
b41a0246ac934e385375b4178d6ede58 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [488, 1016], "expectation_value": -18.785389774678674, "params": null, "bitstrings": ["1000010111", "0000000111"], "total_optimization_steps": 100, "probabilities": [0.13893553839146439, 0.4157025084894632], "optimization_time": 266.13934803009033} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 1.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["0000000111"], "largest_eigenvalue": 37.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6555767647713225) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.6555767647713225) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.618165224471304) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.6555767647713225) q[4];
cx q[1], ... | null | {"node": 10} | {"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[4], 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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIZIIZIII",
"IZZIIIIIII"... | [
-2.5,
-2.5,
-3,
-2.5,
-3,
1.5,
0.5,
-3,
1,
1,
1,
1.5,
-3.5,
-3.5,
-3,
0.5,
0.5,
0.5,
-2.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.559269 | [
0.6555767647713225,
0.618165224471304,
0.4413446315045509,
0.13410139490840264,
0.37869489900105247,
0.5439086686555633,
0.19224055172937282,
1.4687269806080918,
1.518026017777361,
1.0921217154686969
] | {
"n_parameters": 10,
"n_qubits": 10,
"optimal_eigenvalue": -29.5,
"target_ratio": 0.97,
"target_value": -28.615
} | 279 |
64af4c2b79332f45cc93f4adbc07969b | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [48, 56], "expectation_value": -2.2994206142034477, "params": [[[0.9948, 0.0059], [1.6124, 0.0057], [1.6057000000000001, 0.007], [1.6034000000000002, 0.0097], [0.0025, 0.0016], [0.0023, 0.00030000000000000003], [0.0022, 0.008400000000000001]]], "bitstrings": ["1001111", "1000111"], "total_optimization_steps"... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1000111"], "largest_eigenvalue": 6.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.25338627450980583) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.25338627450980583) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.9473661220913092) q[1];
rx(-0.2080075969347992) q[1];
rz(-0.25338627450980583) q[3];
cx q[0], 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",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"ZIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.625,
-0.625,
-1
] | 0.970986 | [
-0.25338627450980583,
0.9473661220913083,
-0.9337401987869697,
0.3531371851195526,
-0.5804148754389825,
-0.2080075969347992,
0.17985523282227697,
0.325923884646385,
-0.24865337180145192,
0.8217671501540741,
0.8735651033300764,
0.040642181543637954,
0.4716806334505762,
-0.310381831459071,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 36 |
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