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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8bfdc67b849fbd87b046066dfe87fda5 | 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": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"sour... | {"states": [202, 458], "expectation_value": -3.73838262024786, "params": [0.2871, 0.2898, 0.3015, 0.29860000000000003, 0.2995, 0.2998, -0.006500000000000001, -0.005200000000000001, -0.013800000000000002, -0.0078000000000000005, 0.3013, 0.29910000000000003, -0.0137, -0.0178, 0.298, 0.29910000000000003, 0.096, 0.09870000... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(5) | 13 | 9 | 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": ["000010111", "000110101", "100010110", "100110100", "010110001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.8436623697034453) q[0];
rz(-0.06930016493884253) q[0];
ry(0.8745865998177477) q[1];
ry(0.680082620231901) q[2];
ry(0.18826440625984092) q[3];
ry(0.12358905216246321) q[4];
ry(0.7383841580195888) q[5];
ry(0.05000857224268533) q[6];
ry(0.5354455507069166) q[7];
ry(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIZIIIIZI",
"IIIIZIZII",
"IIZIIZIII",
"IIIIZZIII",
"IZIIIZIII",
"IIIZZIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-1,
0,
-1,
0,
0
] | 0.972014 | [
0.8436623697034453,
0.8745865998177477,
0.680082620231901,
0.18826440625984092,
0.12358905216246321,
0.7383841580195888,
0.05000857224268533,
0.5354455507069166,
0.045449467631497514,
-0.13860032987768506,
-0.17022076683023443,
0.07996576089978044,
-0.0026061439686936028,
0.292070645959521... | {
"n_parameters": 71,
"n_qubits": 9,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 16 |
-2259529078783254842 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 4], [1, 3], [1, 2], [6, 7], [0, 2], [1, 7], [3, 6], [1, 5]]} | {"states": [389, 404], "expectation_value": -0.03990821974826607, "params": [[0.054900000000000004], [-0.0458]], "bitstrings": ["001111010", "001101011"], "total_optimization_steps": 10, "probabilities": [0.002112933501588339, 0.002112933501588339], "optimization_time": 1.5261952877044678} | 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(5) | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010100", "110000101", "001111010", "001101011"], "largest_eigenvalue": 4.0} | 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[1];
rz(0.8226011051272947) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.8226011051272947) q[2];
cx q[1], q[2];
cx q[2], q[0];
rz(0.8226011051272947) q[0];
cx q[2], q[0];
rz(-1.8595611717131533e-08) q[0];
rx(-0.7853981658412066) q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[8];
rz(x0) q[8];
cx q[4], q[8];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];... | null | {"circuits": [], "gradients": []} | [
"ZIIIZIIII",
"IIIIIZIZI",
"IIIIIIZZI",
"IIZIIZIII",
"IZIIIIIZI",
"IZZIIIIII",
"IIIIIIZIZ",
"IIIZIIIZI",
"IIIIZIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIZIIIII"
] | [
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
] | 0.490232 | [
0.8226011051272947,
-1.8595611680910654e-8,
-0.7853981658412066
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 87 |
6546007efe380a6404e96465ab5a20ad | 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": [183, 181], "expectation_value": -61.287239674957924, "params": [0.0211, 0.0111, 0.49560000000000004, 0.4903, 0.075, 0.0767, 0.4974, 0.49860000000000004, 0.4919, 0.4954, 0.1903, 0.1778, 0.4938, 0.4899, 0.1872, 0.1908, 0.4902, 0.49300000000000005, -0.0054, -0.0064, 0.49520000000000003, 0.4979, 0.0841000000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + -3.5 * Z(0) + 6.5 * Z(1) + 0.5 * Z(2) + 8.5 * Z(3) + 7.0 * Z(4) + 4.5 * Z(5) + 16.5 * Z(8) + 5.0 * Z(7) + 7.0 * Z(6) | 14 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["101001010"], "largest_eigenvalue": 110.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.6343211819381362) q[0];
ry(1.1460010129328582) q[1];
ry(0.323914867325907) q[2];
ry(1.0223673667992674) q[3];
ry(0.7982423567010866) q[4];
ry(0.20226890382340693) q[5];
ry(0.11400141369675189) q[6];
ry(-0.035384393294733925) q[7];
ry(-0.9297630051380567) q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-3.5,
6.5,
0.5,
8.5,
7,
4.5,
16.5,
5,
7
] | 0.971553 | [
1.6343211819381362,
1.1460010129328582,
0.323914867325907,
1.0223673667992674,
0.7982423567010866,
0.20226890382340693,
0.11400141369675189,
-0.035384393294733925,
-0.9297630051380567,
-0.017841347038812468,
-0.010676880551444046,
0.03115192638744741,
-0.034871417755775055,
-0.159279664351... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 53 |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 150.32854199409485} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 123.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(1.525456717572838e-08) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(1.525456717572838e-08) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(1.525456717572838e-08) q[1];
cx q[2], q[1];
h q[3];
cx q[1], q[3];
rz(1.525456717572838e-08) q[3];
cx q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(63.0918) 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... | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIZZIII",
"IIZIIIIZ",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
8.5,
11,
13,
2,
7.5,
12.5,
7.5,
11.5
] | 0.866667 | [
1.525456717572838e-8,
-1.5707962774125008,
1.5707963024967688,
1.570796304761946,
-1.5707963129315194,
1.5707963204272015,
1.570796296373383,
-1.5707963391592898,
-1.5707963344480793
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -60,
"target_ratio": 0.97,
"target_value": -58.199999999999996
} | 248 |
d5e68b7cb40e3e00186b17cefd0000ce | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "ta... | {"states": [1941, 1429], "expectation_value": -2.847051075641541, "params": [[[1.106, 0.0008], [0.7859, -0.1573], [0.8115, 0.1393], [1.0984, -0.0008], [-0.0063, -0.0021000000000000003], [-0.0027, 0.6887], [1.0988, 0.0014], [0.49460000000000004, 0.2944], [1.1058000000000001, 0.0007], [-0.0018000000000000002, 0.7709], [1... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125, -4.3125, -4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -3.3125, "smallest_bitstrings": ["01001100011", "00101100110", "01101100010", "00101101010", "00011101010", "10001101010", "01001101010"], "largest_eigenvalue": 6.6875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(1.0367893045634373) q[0];
ry(2.886909443947844) q[0];
rz(-1.995068291249258) q[0];
rz(2.239494599644937) q[1];
ry(0.18256257592948255) q[1];
rz(-2.7651847150323112) q[1];
rz(1.6130971074001454) q[2];
ry(2.7401249380363164) q[2];
rz(-1.3854861571447317) q[2];
rz(0.64... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIZIIZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZZII",
"IIIIIIIIZZZ",
"IIIIIIIZIZZ",
"IIIIIIIZZIZ",
"IIIIIIIZZZI",
"IIIIIIIZZZZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIZIIIIIZ",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIIZ",
"IIIIZIZII... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.06... | 0.971683 | [
1.7619434856899723,
-0.14015879014055976,
0.6893885210903636,
-0.21493657961785792,
0.8739113496681583,
0.017275532634477286,
1.4637284254128107,
-0.06711420890393163,
0.18822373448735302,
-0.3791622548202369,
0.0743941610228345,
0.6217059792544896,
1.7482245945761472,
0.1733378842652012,
... | {
"n_parameters": 38,
"n_qubits": 11,
"optimal_eigenvalue": -4.3125,
"target_ratio": 0.97,
"target_value": -4.1831249999999995
} | 21 |
7580317451882973347 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1, 3]]} | {"states": [5, 9], "expectation_value": -0.009929420119190086, "params": [[-0.051300000000000005], [0.0653]], "bitstrings": ["1010", "0110"], "total_optimization_steps": 10, "probabilities": [0.06374690224188839, 0.06374690224188839], "optimization_time": 0.31993579864501953} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.5, "smallest_bitstrings": ["1010", "0110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-1.4568093411830323) q[2];
cx q[3], q[2];
rz(0.34331486869158745) q[2];
rx(0.8231233371493869) q[2];
cx q[3], q[0];
rz(-0.3979238976717698) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.3979238976717698) q[1];
cx q[3], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(x... | null | {"circuits": [], "gradients": []} | [
"ZZII",
"ZIIZ",
"ZIZI",
"IIZZ",
"ZIII",
"IZII",
"IIIZ",
"IIZI"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.16666666666666666,
0.16666666666666666
] | 0.755683 | [
-1.4568093411830323,
-0.3979238976717698,
0.34331486869158734,
0.8231233371493868
] | {
"n_parameters": 4,
"n_qubits": 4,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 106 |
0f27b0294b78fd0567c1bda61bfa82fd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [210, 242], "expectation_value": -3.4596958811217506, "params": [[[0.1898, 0.3551], [0.9101, 0.003], [0.9064000000000001, -0.004], [0.8704000000000001, -0.0035], [0.9106000000000001, -0.0019], [0.0748, -0.4156], [-0.0058000000000000005, -0.463], [0.9104000000000001, -0.0022], [0.19390000000000002, 0.3435]], ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(5) + -0.5 * Z(8) + 0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["100001101"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-1.5050254227912583) q[0];
ry(0.19342985428663673) q[0];
rz(0.5104104323006107) q[0];
rz(-0.8914609928203436) q[1];
ry(2.8865995940681133) q[1];
rz(1.8334371158909049) q[1];
rz(-1.5727046583443023) q[2];
ry(3.002341753482839) q[2];
rz(1.8144433449553858) q[2];
rz(1.1... | 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": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIZZIIIII",
"IIIZIIZII",
"ZIIIIZIII",
"IIIZZIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-1,
-0.5,
0,
-0.5
] | 0.980623 | [
-0.26443398296070075,
-0.175261386546263,
1.5177024660906466,
-0.16429454853284892,
0.9604067931142173,
0.0003618887971745255,
0.12026249932047184,
-0.2557399416352564,
1.448926878422223,
0.006534931961573759,
0.2924698025787004,
-0.26282536060712236,
-0.018945238947584823,
-1.005173636229... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 42 |
a07625cca84d78086a82f53802ed13a6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [0, 1], "expectation_value": -10.87180168154755, "params": [0.0039000000000000003, -0.2404, 0.0019, -0.2652, 0.0026000000000000003, -0.29200000000000004, 0.0041, -0.2761, 0.0055000000000000005, -0.2639, 0.0006000000000000001, -0.2506, 0.0007, -0.2795, 0.0045000000000000005, -0.2807, 0.0019, -0.2931, 0.003400... | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(2) @ Z(7)) + -0.75 * (Z(2) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z... | 5 | 10 | 2 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.0748662791017331) q[0];
rz(1.4593733774594053) q[0];
rx(0.018007511550331312) q[1];
rz(1.9499082069852047) q[1];
rx(0.09075558658653306) q[2];
rz(1.5065734950006746) q[2];
rx(0.26751742932451733) q[3];
rz(1.7272183645623116) q[3];
rx(-0.07554134050924582) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIIIZIIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IIIIZIIIII"... | [
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.5,
0.25,
-0.25,
-1.75,
0.5,
1,
-1.25,
1.25,
1.25,
-0.75,
-0.25
] | 0.971759 | [
-0.0748662791017331,
-0.11142294933549154,
0.018007511550331312,
0.3791118801903081,
0.09075558658653307,
-0.06422283179422242,
0.26751742932451744,
0.15642203776741545,
-0.07554134050924582,
0.03620410904374854,
0.03594889587660795,
0.38096107187286665,
-0.09941214116878068,
0.21821578014... | {
"n_parameters": 155,
"n_qubits": 10,
"optimal_eigenvalue": -13.25,
"target_ratio": 0.97,
"target_value": -12.8525
} | 48 |
9e8a866d2c0011b6946d4c64e758f31c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1366, 1382], "expectation_value": -1.5079150241595862, "params": [-0.0079, -0.0014, 0.7895000000000001, 0.7861, -0.007500000000000001, 0.004200000000000001, 0.7844, 0.7814, -0.0088, 0.0167, 0.7847000000000001, 0.7806000000000001, -1.1294, -0.6588, 0.7276, 0.7078, -0.0053, 0.0027, 0.7916000000000001, 0.7852,... | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["101010011001", "010101100110"], "largest_eigenvalue": 1.51328125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.000390625,
-0.000390625,
0.25,
-0.0009765625,
-0.00078125,
-0.0009765625,
-0.00078125,
0.25,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.00087890625,
-0.000390625,
0.0005859375000000001,
0.25,
-0.0006835937500000001,
-0.000390625,
0.0005859375000000001,
-0.00... | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
444b62b2304e1a19fde52e526911bdcb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 34], "expectation_value": -3.411632246301548, "params": null, "bitstrings": ["101101", "011101"], "total_optimization_steps": 19, "probabilities": [0.06012643125721689, 0.7888196926370306], "optimization_time": 15.268057584762573} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["010111", "101101", "011101", "110011", "100111", "111100"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(-0.48422120993676504) q[1];
cx q[0], q[1];
ry(0.48422120993676504) q[1];
cx q[0], q[1];
ry(1.0591314364533853) q[0];
ry(-0.6600466468166103) q[1];
h q[2];
ry(-0.5491677298042162) q[2];
rz(-pi) q[3];
ry(-0.04868280451431047) q[3];
h q[4];
cx q[4], q[2]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZZIII",
"IZIZII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"ZIIIII",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.976114 | [
-1.666160731733247,
-1.5941893273604293,
-0.9684424198735301,
-1.0983354596084325,
0.7452689593608157,
-0.45783046300707414,
0.6277249541851395,
0.3314326109608061,
-0.36579028926250506,
-0.4044323676190723,
0.10034882564473999,
0.012300798927506712,
-0.010927107153268584,
-0.1512815340929... | {
"n_parameters": 15,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
9189925126353498498 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 7], [2, 5], [8, 3, 6], [0, 1, 3, 6], [4, 5]]} | {"states": [427, 399], "expectation_value": -0.8618942344592744, "params": [[-0.5424], [0.4187]], "bitstrings": ["001010100", "001110000"], "total_optimization_steps": 60, "probabilities": [0.008189817319274944, 0.008189817319274945], "optimization_time": 7.273372173309326} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333335, -1.8333333333333335, -1.8333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.8333333333333333, "smallest_bitstrings": ["001110000", "100001001", "000101010"], "largest_eigenvalue": 4.000000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.15554300142189817) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(-0.15554300142189817) q[4];
cx q[1], q[4];
cx q[1], q[7];
rz(-0.15554300142189817) q[7];
cx q[1], q[7];
cx q[1], 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;
input float[64] x7;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(x0) q[8];
... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIIZIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIZIIII",
"IIIZZIIII",
"IIIZIIZII",
"IIIIIZIZI",
"ZIIIIZIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IIZIIZIII",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.0833333333333333... | 0.639067 | [
-0.15554300142189817,
-1.0235967207319294,
-0.18352127578757071,
-0.9900760858839556,
-0.5200214356786282,
-0.31493825033704076,
0.05684007936983972,
0.8001067508959038
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -1.8333333333333335,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 189 |
9756af23cb7c589059b7e2308fee7505 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [2047, 2046], "expectation_value": -0.6993802361491643, "params": [[0.0756], [-0.08070000000000001]], "bitstrings": ["00000000000", "00000000001"], "total_optimization_steps": 10, "probabilities": [0.000797884637870983, 0.0008174956517128061], "optimization_time": 2.3233249187469482} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + 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(8) + 0.5 * Z(7) + 0.5 * Z(9) + -0.5 * ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000000001"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.004981855093243775) q[0];
cx q[1], q[0];
rz(1.3505037402881044) q[0];
rx(-1.5596721625269536) q[0];
rz(1.3505037402881044) q[1];
rx(-1.5596721625269536) q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.004981855093243775) q[2];
cx q[3], 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2]... | {"node": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIZZIIII",
"IIIIZZIIIII",
"IIIIZIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"ZIIIIIIII... | [
-1,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.755596 | [
-0.004981855093243775,
0.009101024545501513,
1.3505037402881042,
-1.5707965179588497,
-1.5596721625269536
] | {
"n_parameters": 5,
"n_qubits": 11,
"optimal_eigenvalue": -14.5,
"target_ratio": 0.97,
"target_value": -14.065
} | 175 |
-2269746105006951689 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 5, 6, 7], [0, 1, 3, 4], [0, 4, 5, 6, 7], [0, 2, 5, 6, 7]]} | {"states": [173, 189], "expectation_value": -0.7213287180223523, "params": null, "bitstrings": ["01010010", "01000010"], "total_optimization_steps": 57, "probabilities": [0.12103693503412256, 0.2555418379125776], "optimization_time": 109.20618081092834} | 0.023809523809523808 * (Z(1) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.10714285714285714 * (Z(4) @ Z(3)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.0238095238... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.8404761904761902, "smallest_bitstrings":... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.3230588772991936) q[0];
h q[1];
ry(-0.30591355214733984) q[1];
ry(-2.062015220054224) q[2];
rz(-pi) q[2];
h q[3];
cx q[3], q[1];
ry(0.30591355214733984) q[1];
cx q[3], q[1];
ry(0.020395676580802574) q[3];
cx q[1], q[3];
ry(-0.020395676580802574) q[3];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2129) 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[... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZIZ",
"IIIIIIZ... | [
0.023809523809523808,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.10714285714285714,
0.10714285714285714,
0.07380952380952381,
0.023809523809523808,
0.023809523809523808,
0.07380952380952381,
0.07380952380952381,
0.023809523809523808,
0.023809523809523808,
0.07380952... | 0.972215 | [
1.3230588772991936,
0.9804763270814348,
0.44256206973934664,
0.4031124583387531,
0.2954810659476607,
-0.46701268584623756,
0.42191139924017745,
-0.1962702290345602,
0.3453880947429424,
-0.6118271042946797,
0.433121533910435,
0.04079135316160515,
0.11619471869778455,
0.30376669756159524,
... | {
"n_parameters": 57,
"n_qubits": 8,
"optimal_eigenvalue": -0.8404761904761904,
"target_ratio": 0.97,
"target_value": -0.8152619047619046
} | 10 |
c5d64ed1606b01b0449fbdbfaa48958e | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [470, 469], "expectation_value": -2.0986731025377328, "params": [[[0.6302, 0.049300000000000004], [0.6994, 0.0439], [0.6985, 0.0795], [0.7070000000000001, 0.07680000000000001], [0.1174, 0.0454], [0.5317000000000001, 0.051300000000000005], [0.3894, 0.1015], [0.6053000000000001, 0.1332], [0.057600000000000005,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 15 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010001", "0100111000", "0100110100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.1549721848291327) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(1.492760804569908) q[2];
h q[3];
ry(-0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.44016084752831497) q[3];
cx q[1], q[3];
ry(0.8936963047981609) q[1];
ry(-0.5255148306806048) q[3];
h q[4];
ry(-1.5627506543... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIZIIIIZ",
"IIIZIIIZII",
"IIZIIIIZII",
"IIZZIIIIII",
"IIZZIIIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IZIIIIZIII",
"IIIZZIIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIIZZIZIII",
"IZIIZIZIII",
"IZIZIIZIII",
"IZIZZIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
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,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
-0.5,
-0.25,
0,
0.125,
0,
-0.125,
0.125,
0,
0.125,
... | 0.995333 | [
-1.5627506543770027,
-1.6426853524511658,
-1.259998280348624,
1.492760804569908,
-0.8803216950566299,
0.5985232422840356,
-0.31165172323427953,
-0.3767145391135873,
0.5903461250282505,
-0.29760058313403503,
0.20451498588347222,
-0.30673651465012075,
-0.02234127085458512,
0.0993486788775276... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
5453c2513a3015ff34fdf7af0c17d479 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -7.794050000805612, "params": [0.1101, 0.26430000000000003, 0.1948, 0.2579, 0.19920000000000002, 0.2639, 0.1955, 0.26990000000000003, 0.5334, 0.1111, 0.5181, 0.16870000000000002, 0.523, 0.1296, 0.1063, 0.2651, 0.1895, 0.2581, 0.1956, 0.2624, 0.1917, 0.266, 0.5363, 0.1369, 0.5212,... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.006822705804027614) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.006822705804027614) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.006822705804027614) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.006822705804027614) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-3,
-3
] | 0.979266 | [
-0.006822705804027614,
-0.0569835674757276,
1.6413660952290756,
1.6445943010417547,
-1.210190329393257,
1.272917394365843,
0.13825878583450213,
0.06605299930301477,
-0.18109136526066744,
-0.3332332317372449,
-1.3079642609617461,
0.48354866790017953,
-0.3444589912231889,
0.9797977022594652,... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 96 |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [0, 487], "expectation_value": -9.799394804005196, "params": [0.5119, 0.9816, -0.2205, 0.7021000000000001, -0.5526, 0.7743, 0.43970000000000004, 0.8951, -0.5605, 0.8635, 0.4053, 1.2922, -0.6205, 0.913, 0.48600000000000004, 1.29, -0.0008, 0.4116, -0.010700000000000001, 0.9751000000000001, -0.002, 0.266, -0.00... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 6 | 9 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9952456547999777) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.32439118944162554) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.8631878032498951) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.32439118944162537) q[2];
rx(0.9475125628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.497648 | [
0.9952456547999777,
0.32439118944162554,
0.8631878032498951,
1.1537434448074644,
0.9475125628779709
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 174 |
b9d77147a8075a3ab2c92d83b9a01aff | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [26, 15], "expectation_value": -2.313921416446625, "params": null, "bitstrings": ["00101", "10000"], "total_optimization_steps": 25, "probabilities": [0.1260881564340479, 0.6003138025270256], "optimization_time": 13.66724157333374} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.5 * Z(4) + 1.0 * Z(1) + 0.25 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 4.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.3021285901869553) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.043858714499417424) q[1];
cx q[3], q[1];
rz(0.15148676426630026) q[3];
rx(1.6420934673725691) q[3];
h q[4];
cx q[0], q[4];
rz(-0.6058695825523499) q[4];
cx q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-0.25,
0.5,
-0.75,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1,
0.25
] | 0.970354 | [
-0.3021285901869553,
-0.6058695825523499,
-0.043858714499417424,
0.1514867642663002,
-1.1554450260119575,
-1.1686368417294875,
1.6420934673725691,
-0.5967042178992558,
-0.4649764029594956,
-0.7324181695780487,
0.37535760010990565,
-0.9130635513536562,
-0.23404186224473988,
0.11806590585545... | {
"n_parameters": 26,
"n_qubits": 5,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 256 |
f8645113517905e1df1749520352d679 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [252, 220], "expectation_value": -60.99776290813843, "params": [0.3371, 0.28550000000000003, 0.787, -0.0037, 0.795, 0.0828, 0.3593, 0.2571, 0.791, -0.005, 0.7929, 0.0037, 0.7855000000000001, -0.0975, 0.2843, -0.22790000000000002, 0.0887, 0.3659, 0.34550000000000003, 0.28400000000000003, 0.7897000000000001, -... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 18 | 9 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 130.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.10923383720549897) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.10923383720549897) q[2];
cx q[0], q[2];
rz(1.2299948032833266) q[0];
rx(1.0879082958788673) q[0];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.10923383720549897) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6,
5,
12,
8,
8,
17.5,
12,
6.5,
1
] | 0.859958 | [
0.10923383720549897,
-1.810537491794332,
1.229994803283326,
-1.6856305727411314,
-0.8120803734240312,
-1.7336898352556895,
1.3051021389879203,
1.3879897866400888,
1.0879082958788673,
-0.4710384321704608,
1.265319859463496,
-0.1555024889011401,
0.4251206411461428,
-0.2861529194851915,
-0.... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -71,
"target_ratio": 0.97,
"target_value": -68.87
} | 500 |
-7739610040534451971 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 3], [11, 7], [0, 2, 4, 5, 7, 8, 9, 10], [9, 2, 11], [1, 7], [4, 5, 6, 9, 10, 11], [9, 1], [0, 6, 9, 10, 11], [0, 1, 3, 4], [0, 1, 3, 5, 8, 11], [0, 6, 8, 10, 11], [0, 4, 5, 8, 10, 11], [8, 3, 4, 5], [1, 10, 11], [0, 4, 6, 9, 11], [0, 2, 11], [8, 2, 5,... | {"states": [2814, 2782], "expectation_value": -3.6652978685421687, "params": [[[2.3944, 0.0011, 0.0054, 0.0064], [-0.0013000000000000002, -0.011300000000000001, -0.0005, 0.0016], [2.3975, 0.006900000000000001, 0.0007, 0.006900000000000001], [0.9640000000000001, -0.002, 0.40180000000000005, 0.005], [2.3976, 0.0006000000... | 0.5 * (Z(9) @ Z(3)) + 0.03333333333333333 * (Z(11) @ Z(3)) + 0.3 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.017857142857142856 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(11)) + 0.11666666666666667 * (Z(0) @ Z(3)) + 0.11785714285714287 * (Z(0) @ Z(9)) + 0.3833333333333333 * (Z(0) @ Z(11)) + 0.017857142857142856 *... | 12 | 12 | 1 | {"smallest_eigenvalues": [-5.066666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0214285714285705, "smallest_bitstrings": ["010100100001"], "largest_eigenvalue": 16.999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(3.0651641264717937) q[0];
rz(-0.04109707245389496) q[0];
ry(-0.007758459487785502) q[1];
rz(-0.02323981116540834) q[1];
cz q[1], q[0];
ry(0.049248714028863105) q[1];
ry(2.908173390866994) q[2];
rz(0.22785936599915646) q[2];
ry(0.8897522335418245) q[3];
rz(0.10297040... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIIZIII",
"ZIIIIIIIZIII",
"ZIZIIIIIIIII",
"IIIIZIIIZIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIIIIIZIIZ",
"IIZIIIIIIIIZ",
"ZIIIIIIIIIIZ",
"IIIIZIIIIIIZ",
"IIZIIIIIIZII",
"ZIIIIIIIIZII",
"IIIIZIIIIZII",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIZIIIIZIIII",
"ZIIIIIIZIIII",
"IIIIZIIZI... | [
0.5,
0.03333333333333333,
0.3,
0.16666666666666666,
0.017857142857142856,
0.5,
0.11666666666666667,
0.11785714285714287,
0.3833333333333333,
0.017857142857142856,
0.1845238095238095,
0.5,
0.017857142857142856,
0.1845238095238095,
0.3333333333333333,
0.10119047619047619,
0.28333333333... | 0.976008 | [
3.0651641264717937,
-0.04109707245389496,
-0.007758459487785502,
-0.02323981116540834,
2.908173390866994,
0.22785936599915646,
0.8897522335418245,
0.10297040542431522,
2.9579128522593696,
0.2758467582532828,
-0.08116462692941387,
-0.03544895782194188,
0.672982963769776,
-0.0275861846884209... | {
"n_parameters": 32,
"n_qubits": 12,
"optimal_eigenvalue": -5.066666666666666,
"target_ratio": 0.97,
"target_value": -4.914666666666666
} | 15 |
-2549676127264746355 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [0, 2, 5], [3, 5], [1, 5, 6], [0, 6], [2, 4], [5, 7], [1, 2, 6], [2, 7], [0, 1, 4]]} | {"states": [204, 228], "expectation_value": -3.193346483475417, "params": null, "bitstrings": ["00110011", "00011011"], "total_optimization_steps": 48, "probabilities": [0.06853446448148866, 0.7711196315917994], "optimization_time": 62.897284507751465} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.4999999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["00011011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(1.4446270718160572) q[0];
h q[1];
ry(1.6658875078462905) q[1];
h q[2];
h q[3];
ry(-0.45257409613552735) q[3];
h q[4];
ry(-0.17573290044430212) q[4];
cx q[2], q[4];
ry(0.17573290044430212) q[4];
cx q[2], q[4];
ry(1.1060410343317242) q[2];
cx q[1], q[2];
ry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIIZIZ",
"ZIIIIZII",
"IIZIZIII",
"IIZIIIIZ",
"ZIZIIIII",
"IIZIIZII",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZZIIIII",
"IZIIIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZIIZI",
"IIIIZIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666... | 0.975159 | [
1.6658875078462905,
1.4446270718160572,
-1.608830752054294,
-0.35146580088860424,
1.0303039552826398,
-0.6331469866719929,
-0.8743656177968228,
0.15147415809816872,
1.0671498726980728,
-0.6708120937169336,
-0.9051481922710547,
0.41728992845913404,
-0.09391730371924531,
-0.12391382425350728... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -3.4999999999999996,
"target_ratio": 0.97,
"target_value": -3.3949999999999996
} | 22 |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.0783222700994679, "params": [[0.0054, 0.056400000000000006, -0.0439], [0.012100000000000001, -0.049100000000000005, -0.0055000000000000005]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.016583959724581106, 0.016782677982603807], "o... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.362712956693458) q[0];
h q[1];
ry(-0.362712956693458) q[1];
h q[2];
ry(-0.362712956693458) q[2];
h q[3];
cx q[3], q[2];
ry(0.362712956693458) q[2];
cx q[3], q[2];
ry(-0.8545707286531208) q[2];
ry(1.2709249526324335) q[3];
h q[4];
cx q[4], q[0];
ry(0.362712... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"IZIIIZ",
"ZIIIIZ",
"ZZIIII",
"IIIIZZ",
"ZIIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-0.5,
-1,
0,
0
] | 0.975572 | [
-0.725425913386916,
1.0706273462922709,
1.3425111777435603,
0.63039906660102,
-0.680705231014584,
-0.40156305610165266,
-0.260757100747384,
0.5178049646920392,
0.4005952126803254,
-0.5439106489094752,
0.08432570462335529,
-0.40927439929699994,
-0.3477309952770732,
0.042917048675201463,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
c298bac9f7b945ca2464c36aeeff588d | 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": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 1, "target":... | {"states": [82, 594], "expectation_value": -4.664522482114679, "params": [0.8516, 0.8463, 0.6832, 0.6869000000000001, 0.7095, 0.7051000000000001, 0.9043, 0.9108, 0.0009000000000000001, -0.0007, 0.8553000000000001, 0.8646, 0.0036000000000000003, 0.0006000000000000001, 0.004, 0.0039000000000000003, 0.8907, 0.888400000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -5.5, "smallest_bitstrings": ["1110001101", "0010101111", "0110101101", "0110111100", "1010001111", "1100101101", "0010111110", "1000101111", "0110110110", "10001111... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.1732032376206276) q[0];
rz(0.3154444153021849) q[0];
ry(-0.24312691344559154) q[1];
ry(0.6181044784839148) q[2];
ry(1.3887085361953804) q[3];
ry(0.18811440932837067) q[4];
ry(1.260632723407585) q[5];
ry(0.10859141849183024) q[6];
ry(-0.07301298692565306) q[7];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIZIIIIZII",
"IIZZIIIIII",
"IIZIIIIIZI",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZZIIIIIII",
"IIZIIIZIII",
"ZIIIIZIIII",
"IIIZZIIIII",
"ZIIIZIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIZIIIIII",
"IIIIIIIIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-2,
-1,
-2,
-1,
0,
-0.5,
-0.5
] | 0.971932 | [
1.1732032376206276,
-0.24312691344559154,
0.6181044784839148,
1.3887085361953804,
0.18811440932837067,
1.260632723407585,
0.10859141849183024,
-0.07301298692565306,
1.8866079392853778,
-0.15183236991525909,
0.6308888306043698,
0.07917814577457664,
-0.9425358429606061,
0.4634083036744766,
... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 22 |
b426b8aff164c6823b185eb6b091738d | 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": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [18, 28], "expectation_value": -0.5259502625929598, "params": [[0.06720000000000001, 0.0728, 0.0711], [-0.053000000000000005, -0.0568, -0.054]], "bitstrings": ["101101", "100011"], "total_optimization_steps": 10, "probabilities": [0.021729917923366694, 0.024905486987074472], "optimization_time": 3.1206734180... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(3.146586182667847) q[0];
rz(-0.4960671937553839) q[0];
ry(-0.1292922814490114) q[1];
rz(-0.6985758714498361) q[1];
cz q[1], q[0];
ry(0.043070532367504924) q[1];
ry(-0.04475695876475132) q[2];
rz(0.6631600359423698) q[2];
ry(0.5756435583956447) q[3];
rz(-0.14283149628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IZIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5
] | 0.988667 | [
3.146586182667847,
-0.4960671937553839,
-0.1292922814490114,
-0.6985758714498361,
-0.04475695876475132,
0.6631600359423698,
0.5756435583956447,
-0.14283149628386937,
0.09442180069266345,
2.7246196860446945,
0.021535266183752462,
3.2207334379454498,
-1.152313102082496,
-0.5291711248863585,
... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 27 |
-7580555022610608366 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [1, 2, 3, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 4, 6]]} | {"states": [190, 182], "expectation_value": -1.1016226945409535, "params": [1.3896000000000002, 0.012700000000000001, 1.3887, 0.0023, 0.7483000000000001, -0.0122, 0.5899, 0.0054, 1.3903, 0.2721, 0.8546, 0.0077, 1.3934, 0.0119, 1.391, 0.0085, 1.1893, -0.3068, 0.7768, 0.0056, 1.3884, 0.019, 1.3938000000000001, 0.00310000... | 0.05 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.08333333333333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.2833333333333334, -1.2833333333333334, -1.2833333333333334, -1.2833333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2000000000000006, "smallest_bitstrings": ["10000100", "01001001", "00001101", "11000000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2527049951120781) q[0];
h q[1];
ry(-2.386810862469583) q[2];
rz(-pi) q[2];
ry(-2.814884592635478) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.11075855986339725) q[4];
h q[5];
ry(-0.2517741608613294) q[5];
cx q[1], q[5];
ry(0.2517741608613294) q[5];
cx q[1], q[5];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IZIIIZII",
"IIIZIIIZ",
"IIIZIZII",
"IZIZIII... | [
0.05,
0.13333333333333333,
0.13333333333333333,
0.3,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0... | 0.971709 | [
1.3618009422586328,
1.1086684546951973,
0.2708396222907685,
-0.5035483217226588,
0.6755233313251081,
0.20649958566952564,
-0.4516689737785683,
0.501947760648761,
-0.3484786417492797,
0.5576486365959562,
0.5167317981574604,
-0.5054099902241562,
0.2672525646451948,
-0.33837646195743293,
0.... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -1.2833333333333334,
"target_ratio": 0.97,
"target_value": -1.2448333333333335
} | 2 |
404057c7f12171487b8e4c0dec61ffa3 | 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": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [7, 31], "expectation_value": -3.4512643325992425, "params": null, "bitstrings": ["111000", "100000"], "total_optimization_steps": 45, "probabilities": [0.08562209917446545, 0.7253294113483193], "optimization_time": 34.089616775512695} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + -0.5 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.25 * Z(1) + 1.0 * Z(4) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5811547544466071) q[0];
h q[0];
rx(1.570796540280365) q[1];
h q[1];
rx(0.8261509600795981) q[2];
h q[2];
rx(1.6265178949297225) q[3];
h q[3];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... | [
"IIIZIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IZIZII",
"ZZIIII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IZIIII",
"IIZIII"
] | [
-0.25,
0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-1.25,
-0.5,
-0.25,
-0.25,
0.25,
1,
-0.25
] | 0.4375 | [
1.5811547544466071,
1.570796540280365,
0.8261509600795981,
1.6265178949297225,
1.5707964599706954,
-0.8173580564858312,
-0.6918847223325216,
1.570796435113792,
-4.734253203222546e-9,
-1.5027359744877397e-8,
1.570796448929092,
2.485463203679337
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 265 |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [17, 81], "expectation_value": -9.499997356645254, "params": null, "bitstrings": ["111101110", "110101110"], "total_optimization_steps": 34, "probabilities": [5.247783531652035e-07, 0.9999981334971454], "optimization_time": 39.337066650390625} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111111110", "110101110", "110111110", "111101110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6076297506325974) q[0];
h q[1];
ry(-1.6076297506325974) q[1];
h q[2];
ry(0.8499546938270016) q[2];
h q[3];
ry(-0.7671930836053993) q[3];
h q[4];
ry(1.6018454204968897) q[4];
cx q[4], q[2];
ry(-0.8499546938270016) q[2];
cx q[4], q[2];
h q[5];
ry(-0.62818338... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IZIIIZIII",
"IZIIIIZII",
"IIIZIZIII",
"IIZZIIIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIZIIII",
"IIIZZIIII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIZII",
"IZIIIIIII",
"... | [
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
1.75,
-0.5,
-1.25,
-0.25,
-0.25,
0,
1,
-1,
-1,
1.5,
1.25
] | 0.994358 | [
1.6018454204968897,
1.6849937422262258,
-1.6076297506325974,
1.6999093876540032,
-1.495596626319655,
-1.2563667617200651,
-1.5343861672107986,
-1.4299654093531273,
-0.07709111561543597,
-0.1327043613471936,
-0.14987038388116428,
-0.02359566448317256,
-0.12568951152613844,
-0.02849748278067... | {
"n_parameters": 14,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 1 |
864f213918e4b694952e53439a24874e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capac... | {"states": [280, 281], "expectation_value": -6.4845089372221585, "params": [0.0022, -0.3512, 0.0043, -0.34850000000000003, 0.6168, 0.25880000000000003, 0.6451, 0.0303, -0.0017000000000000001, -0.46290000000000003, -0.0057, -0.5006, -0.0008, -0.5141, -0.0053, -0.5019, -0.002, -0.4801, -0.006, -0.507, 0.6382, 0.2384, 0.6... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(4) @ Z(9)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(8) @ Z(2)) + -0.25 * (Z(8) @... | 5 | 10 | 2 | {"smallest_eigenvalues": [-8.5, -8.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.5, "smallest_bitstrings": ["1011000110", "1011100110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.2603210410912924) q[0];
rz(2.613969398650175) q[0];
rx(-3.0749117847361034) q[1];
rz(1.1462184007162586) q[1];
rx(-0.1045535394405201) q[2];
rz(1.6117423336837398) q[2];
rx(-0.08198241755586314) q[3];
rz(1.583885894343755) q[3];
rx(0.010253520049592181) q[4];
rz(2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIZIIIZIII",
"ZIIIIZIIII",
"IIZIIZIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"IIIZIZIIII",
"IZIIIIIZII",
"IZIIIIZIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIIZI",
"ZIIIIIIIII"... | [
-0.5,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-1,
0.75,
-0.25,
0,
-0.25,
1,
0.75,
0
] | 0.978902 | [
0.2603210410912924,
1.0431730718552787,
3.2082735224434833,
-0.4245779260786377,
-0.1045535394405201,
0.040946006888843034,
-0.08198241755586314,
0.013089567548859267,
0.01025352004959218,
1.2657189433373381,
1.6466508471746353,
-0.048173131468048525,
3.1215777176580772,
0.1513947099649320... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 15 |
0266001b380421646053f35d123ce5b5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [7, 135], "expectation_value": -4.112839215066281, "params": [0.561, -0.09190000000000001, 0.3517, -0.4098, 0.0432, 0.4838, -0.0091, 0.4269, 0.0874, 0.0286, 0.8149000000000001, 0.0059, 0.8745, 0.1044, 0.893, 0.0006000000000000001, 0.5563, -0.014, 0.3185, -0.3874, 0.0183, 0.4602, -0.0123, 0.4012, 0.0645, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -1.5 * Z(4) + 0.0 * Z(7) + -0.5 * Z(6) + -0.... | 4 | 8 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8676353043357811) q[0];
rz(1.294772275350514) q[0];
rx(-0.1336974119063399) q[1];
rz(1.453382662629247) q[1];
rx(-0.11661827598286759) q[2];
rz(2.2148722040660864) q[2];
rx(0.002293317481304308) q[3];
rz(1.8361509984282591) q[3];
rx(0.08477067571123283) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZIZII",
"ZIIIIIZI",
"IZIIIZII",
"IZIZIIII",
"IIZIZIII",
"IIZZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIIII",
"IIZIIIII"
] | [
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,
-0.5,
-1.5,
0,
-0.5,
-0.5
] | 0.970316 | [
0.8676353043357811,
-0.2760240514443829,
-0.13369741190633994,
-0.1174136641656495,
-0.11661827598286759,
0.6440758772711894,
0.0022933174813043085,
0.2653546716333622,
0.08477067571123283,
-0.1819408538691763,
0.5229190753673594,
0.10320831579411338,
0.8457634207039209,
-0.013810859036029... | {
"n_parameters": 68,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 12 |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [28, 30], "expectation_value": -1.0974277414934006, "params": [[0.0722, 0.0589, 0.0468, 0.0654], [-0.0771, -0.0539, -0.0405, -0.052500000000000005]], "bitstrings": ["100011", "100001"], "total_optimization_steps": 10, "probabilities": [0.02681846768219295, 0.030832939675047338], "optimization_time": 4.696439... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0038456229068963193) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.0038456229068963193) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0038456229068963193) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.0038456229068963193) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
-0.5,
-0.5,
0,
-1.5
] | 0.970195 | [
0.0038456229068963193,
0.03152788476359816,
0.5843677711496659,
0.07011294895722706,
-0.10747817429227481,
-1.040178437004815,
1.0646619051284048,
-1.0354563116757038,
0.017329488661321276,
0.04182312572303404,
1.035489171615615,
0.18311382064276116,
-0.27304283047034755,
-1.02584056551815... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -2.6875,
"target_ratio": 0.97,
"target_value": -2.606875
} | 194 |
e9d9b91bfd2b1be4702d219d04bf78f1 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [254, 1022], "expectation_value": -12.874616259047771, "params": null, "bitstrings": ["1100000001", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.137712771426357, 0.44165581213915794], "optimization_time": 207.61189675331116} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0000000001"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001432448751101056) q[0];
cx q[1], q[0];
rz(-1.4019289543122877) q[0];
rx(1.5665953202805412) q[0];
rz(-1.4019289543122877) q[1];
rx(1.5665953202805412) q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.11561943539346946) q[2];
cx q... | null | {"node": 9} | {"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(1.5706) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... | [
"IIIIIIIIZZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"IZIZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
-1,
-1.5,
-1.5,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.791011 | [
0.001432448751101056,
-0.11561943539346946,
-1.4019289543122877,
0.0004461657443661185,
-0.00014970484478022035,
1.5707963122822266,
1.5665953202805412
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 232 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 18.743741989135742} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
91fd701868951eab612ba86420778b2e | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -14.315141270031734, "params": null, "bitstrings": ["011110", "111100"], "total_optimization_steps": 51, "probabilities": [0.10868101364905021, 0.5506785707904625], "optimization_time": 74.81123471260071} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.6046606131929824) q[0];
rz(-pi) q[0];
ry(-0.2754248126532229) q[1];
rz(-pi) q[1];
ry(-1.397078670391102) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.7131691907790075) q[3];
cx q[3], q[2];
ry(0.10320605458857647) q[2];
cx q[3], q[2];
ry(-0.09157489833333138) q[3];
ry(-0.4233... | null | {"k": 4} | {"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(-0.0019) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
-5.75,
-5.75,
-5.75,
-6.25,
-5.25,
-5.25
] | 0.970876 | [
-0.7131691907790075,
-0.6029729944224574,
-0.9519977999790217,
-0.0705116018152183,
-0.6867474283253041,
-0.7263254383589139,
-0.20641210917715294,
-0.18314979666666276,
1.246074321202835,
-0.16302890953712407,
0.9836842123631419,
-0.8467113254691783,
-0.29282426768644043,
0.51295746069054... | {
"n_parameters": 35,
"n_qubits": 6,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 32 |
-4647981197735598989 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 3, 4, 9], [3, 4, 6, 7, 9], [9, 10, 7], [0, 1, 10, 8], [1, 2, 3, 6, 7], [8, 9, 5], [1, 2, 5], [8, 3, 5], [8, 2], [0, 8, 1, 7], [1, 3, 4, 9, 10], [0, 1, 3, 6, 7, 10], [1, 3, 4, 6, 9], [1, 3, 4, 6, 7, 8, 10], [0, 2, 3, 4, 10], [1, 3, 4, 5, 7]]} | {"states": [765, 637], "expectation_value": -3.089079348838961, "params": [0.6817000000000001, 0.7667, 1.5702, 1.5821, 0.2818, 0.2155, 0.9734, 0.7772, 1.5772000000000002, 1.58, 1.5834000000000001, 1.5771000000000002, 1.4352, 1.3771, 1.5826, 1.5466, 1.2522, 1.2054, 1.5845, 1.5727, 1.5815000000000001, 1.5703, 0.5333, 1.5... | 0.25 * (Z(0) @ Z(1)) + 0.3071428571428571 * (Z(3) @ Z(1)) + 0.13333333333333336 * (Z(3) @ Z(0)) + 0.22380952380952385 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.3238095238095238 * (Z(4) @ Z(3)) + 0.15000000000000002 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(0)) + 0.2 * (Z(9) @ Z(3)) + 0.2 * (Z(9) @ Z(4)) + 0.15714285714285717 ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-3.6761904761904765], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.6261904761904775, "smallest_bitstrings": ["10110000010"], "largest_eigenvalue": 15.499999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.3571687379711113) q[0];
rz(pi/2) q[0];
ry(1.526371436922378) q[1];
ry(0.003155515369876488) q[2];
ry(0.031871452745027395) q[3];
ry(1.6349942104259216) q[4];
ry(1.441331369263687) q[5];
ry(1.3684362825189047) q[6];
ry(1.5664383729402633) q[7];
ry(1.632379813953202... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IZIIIIIIIZI",
"IZIIIIIIIIZ",
"IZIIIIIZIII",
"IZIIIIZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IZIIZIIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIZII... | [
0.25,
0.3071428571428571,
0.13333333333333336,
0.22380952380952385,
0.1,
0.3238095238095238,
0.15000000000000002,
0.05,
0.2,
0.2,
0.15714285714285717,
0.03333333333333333,
0.20714285714285716,
0.12380952380952381,
0.1,
0.24047619047619045,
0.11666666666666667,
0.20714285714285713,
... | 0.972718 | [
0.3571687379711113,
1.526371436922378,
0.003155515369876488,
0.031871452745027395,
1.6349942104259216,
1.441331369263687,
1.3684362825189047,
1.5664383729402633,
1.632379813953202,
1.7856437596310557,
1.3978769245218128,
0.20926947276968583,
0.5232978248846087,
1.1502892002407283,
0.2902... | {
"n_parameters": 44,
"n_qubits": 11,
"optimal_eigenvalue": -3.6761904761904765,
"target_ratio": 0.97,
"target_value": -3.565904761904762
} | 15 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [4, 3], "expectation_value": -0.13457589767501352, "params": [[-0.0873], [0.08020000000000001]], "bitstrings": ["1011", "1100"], "total_optimization_steps": 10, "probabilities": [0.0660681116567475, 0.06953469981498338], "optimization_time": 0.6419968605041504} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
ef8f22f83fe0492ffe205e283ddd4791 | 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": [470, 214], "expectation_value": -55.13775910030395, "params": [[[0.5938, 0.5762], [0.3769, 0.5855], [0.5931000000000001, 0.5701], [-0.0092, 0.5122], [0.5977, 0.3089], [0.0507, 0.37070000000000003], [0.18510000000000001, 0.468], [0.1782, 0.5111], [0.2391, 0.36150000000000004]], [[0.5902000000000001, 0.1579],... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 2.5 * Z(0) + 16.5 * Z(1) + 15.0 * Z(2) + 8.0 * Z(4) + 1.5 * Z(3) + 16.5 * Z(6)... | 15 | 9 | 4 | {"smallest_eigenvalues": [-95.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100101001"], "largest_eigenvalue": 145.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.3094543786022124) q[0];
ry(0.14067952078459653) q[1];
ry(1.1192487611719484) q[2];
ry(0.0759777122625657) q[3];
ry(0.7643212643601128) q[4];
ry(-0.042483826489027494) q[5];
ry(0.21593637684171527) q[6];
ry(-0.22389629439867878) q[7];
ry(0.12192973951319885) q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIIZZII",
"IIIIZZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
2.5,
16.5,
15,
8,
1.5,
16.5,
1,
7,
6
] | 0.970823 | [
1.3094543786022124,
0.14067952078459653,
1.1192487611719484,
0.0759777122625657,
0.7643212643601128,
-0.042483826489027494,
0.21593637684171527,
-0.22389629439867878,
0.12192973951319885,
0.4979030697342169,
0.5388690334418704,
0.26817934902544477,
0.30180229105402145,
-0.15811585015931073... | {
"n_parameters": 70,
"n_qubits": 9,
"optimal_eigenvalue": -95.5,
"target_ratio": 0.97,
"target_value": -92.63499999999999
} | 87 |
57e4a42254a59ee532f799c4c74dbbc5 | 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": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [33, 1], "expectation_value": -2.3812232611146418, "params": [[0.0641, 0.0587], [-0.061900000000000004, -0.0594]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009876783840772637, 0.010196700211712439], "optimization_time": 2.970672369003296} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005854303607264674) q[0];
rz(0.3960597459368831) q[0];
rx(-0.013489921067996584) q[1];
rz(0.8659527247617227) q[1];
rx(0.693863413275396) q[2];
rz(-0.07052575540604744) q[2];
rx(0.07980093795002999) q[3];
rz(0.23434034951631544) q[3];
rx(-0.05568818637921519) 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] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIIZZIII",
"IZIIIIZI",
"IZZIIIII",
"IZIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-1.5,
-0.5,
-0.25,
2.5,
-0.5,
-2.75,
-1.5,
-1.25,
-0.25,
-3.25,
-0.25,
0.5,
0,
2.5,
0.5,
-0.5,
0.5
] | 0.977064 | [
-0.005854303607264674,
0.5558932394584737,
-0.013489921067996583,
0.6906493351292241,
0.6938634132753959,
0.052719814559119754,
0.07980093795002999,
0.4969877308788506,
-0.05568818637921519,
0.7924222696935164,
0.07016453342192276,
0.8263182994596178,
0.18091812245774114,
-0.56424050298015... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -17.75,
"target_ratio": 0.97,
"target_value": -17.2175
} | 8 |
20d26dc41a8e85134d92019f0849fe23 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [236, 205], "expectation_value": -10.265733076089436, "params": [[0.041100000000000005], [-0.0703]], "bitstrings": ["100010011", "100110010"], "total_optimization_steps": 10, "probabilities": [0.004247975670964319, 0.0046574858974975895], "optimization_time": 1.7850689888000488} | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(5) @ Z(7)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + 10.5 * Z(2) + 18.0 * Z(1) + 0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100110010"], "largest_eigenvalue": 154.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-1.62851166616495e-08) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(-1.62851166616495e-08) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(-1.62851166616495e-08) q[0];
cx q[1], q[0];
rz(-1.5707963016905468) q[0];
rx(-1.5707963256576183) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIZIIIII",
"ZIIIIZIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIIIIZIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
10.5,
18,
0.5,
3.5,
18.5,
5.5,
19.5,
4,
9
] | 0.885057 | [
-1.62851166616495e-8,
1.5707963888242653,
1.5707963483038274,
-1.570796301690547,
-1.5707962396308484,
1.5707963583302322,
-1.5707963632617372,
1.5707963297174667,
1.5707963058963341,
-1.570796037244863,
-1.570796325657618
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 293 |
4e25283e9474f6784f895048b0f76821 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [111, 495], "expectation_value": -9.812824169557388, "params": null, "bitstrings": ["110010000", "000010000"], "total_optimization_steps": 89, "probabilities": [0.13323584901428293, 0.39974580157491263], "optimization_time": 149.5929205417633} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000010000"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.09941242281479518) q[0];
rz(1.4120041651961488) q[0];
rx(1.4286999076061657) q[1];
rz(1.8528053410806313) q[1];
rx(1.4802804528324323) q[2];
rz(1.6888909659378797) q[2];
rx(2.861475082999946) q[3];
rz(1.78744607668321) q[3];
rx(-0.035088910473322826) q[4];
rz(1.802... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIZZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIZIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-1,
-2,
1,
-2,
-2,
1,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.979411 | [
0.09941242281479518,
-0.15879216159874754,
1.428699907606166,
0.28200901428573477,
1.480280452832432,
0.11809463914298299,
2.861475082999946,
0.2166497498883136,
-0.035088910473322826,
0.23163428489808036,
0.03234862624786709,
0.14271488603506838,
-0.20441752856421946,
0.9737783591626613,
... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 12 |
-6129269027980007855 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 3], [0, 2, 4], [1, 3, 4]]} | {"states": [23, 7], "expectation_value": -0.7876650088378412, "params": null, "bitstrings": ["01000", "11000"], "total_optimization_steps": 22, "probabilities": [0.02469006670555666, 0.8989843833441964], "optimization_time": 20.063164234161377} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.166666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.8333333333333333, -0.8333333333333333, -0.8333333333333333, -0.8333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666663, "smallest_bitstrings": ["01100", "10010", "00110", "11000"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.29146833033907865) q[0];
h q[1];
ry(-0.26017049337930664) q[1];
h q[2];
ry(0.5697183687887366) q[2];
cx q[2], q[0];
ry(0.29146833033907865) q[0];
cx q[2], q[0];
ry(0.25866492189661205) q[2];
ry(-0.22787236608823466) q[0];
ry(-2.4785582134774966) q[3];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) q[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.29166666666666663,
0.3333333333333333
] | 0.982349 | [
1.3175411466650517,
0.6565241029391627,
0.5024755674868752,
-0.5203409867586133,
0.5697183687887366,
-0.5829366606781573,
0.5173298437932241,
-0.4804805265826396,
0.44801989904485695,
-0.4203303694536761,
0.3123142456291387,
-0.4557447321764693,
0.37923855437775145,
-0.33429690592282746,
... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -0.8333333333333333,
"target_ratio": 0.97,
"target_value": -0.8083333333333332
} | 1 |
9d0fda9991561362ccfc12e66c38b9f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 13.994834661483765} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) 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];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IZIZII",
"IZZIII",
"IIIZII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-1,
-1,
-0.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
-2032701358618028654 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [1, 3], [0, 3]]} | {"states": [1, 14], "expectation_value": -1.2941021212470392, "params": null, "bitstrings": ["1110", "0001"], "total_optimization_steps": 20, "probabilities": [0.05995960809388086, 0.8249764027898925], "optimization_time": 11.261407613754272} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
ry(0.49187997624181967) q[0];
h q[1];
h q[2];
h q[3];
ry(-0.5544396133547477) q[3];
cx q[2], q[3];
ry(0.5544396133547477) q[3];
cx q[2], q[3];
ry(-0.3686273634823362) q[3];
cx q[1], q[3];
ry(0.3686273634823362) q[3];
cx q[1], q[3];
ry(0.7282128200564459) q[1];
r... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... | [
"ZZII",
"ZIZI",
"ZIIZ",
"ZIII",
"IZII",
"IIZI",
"IIIZ"
] | [
0.5,
0.5,
0.5,
0,
0,
0,
0
] | 0.970898 | [
-1.1088792267094953,
1.0849083872470233,
-0.7372547269646724,
1.4564256401128919,
0.9837599524836393,
-0.8230970995136118,
0.1879130233756393,
0.8368556945662969,
0.45915226625810546,
-0.880147795161003,
-0.4560720931233557,
-1.030065802850747,
0.38025973355676446,
0.19857814430317608,
-... | {
"n_parameters": 16,
"n_qubits": 4,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 26 |
b2309033b6624415ccab4ec6991f5bce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, ... | {"states": [9, 24], "expectation_value": -5.411632246303773, "params": null, "bitstrings": ["1110110", "1100111"], "total_optimization_steps": 22, "probabilities": [0.06012643125725533, 0.7888196926387847], "optimization_time": 18.519410371780396} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.5 * Z(2) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011101", "1100111", "1111001", "1110110", "0011111", "1001111", "1011110"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
rx(1.8077038032399073) q[0];
rz(-0.012604662463587601) q[0];
rx(1.7113188875234084) q[1];
rz(0.062477914972632664) q[1];
rx(1.5485655214217333) q[2];
rz(0.4598853806341343) q[2];
rx(-0.10332820676206783) q[3];
rz(1.206498792346732) q[3];
rx(1.404672382128714) q[4];
rz(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIZIZI",
"IIZIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-2,
-1.5,
-1.5,
-0.5
] | 0.975787 | [
1.807703803239907,
-0.04200960570267162,
1.7113188875234084,
0.12303269481834897,
1.5485655214217335,
0.14880784740208253,
-0.10332820676206782,
0.7546914020822503,
1.4046723821287137,
0.298593828578469,
-0.017053380378249793,
1.0874544662564471,
1.8788160561178926,
0.5298602686487988,
0... | {
"n_parameters": 79,
"n_qubits": 14,
"optimal_eigenvalue": -4.125000000000004,
"target_ratio": 0.97,
"target_value": -4.001250000000004
} | 14 |
b9167b0dbead0ec78749403f79eff77a | 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": [470, 214], "expectation_value": -71.1172188549611, "params": [0.0027, -0.8768, 0.7763, -0.18030000000000002, 1.2064000000000001, -0.001, 1.2033, -0.0038, -0.0016, -0.7207, 1.2049, 0.26780000000000004, 0.0032, 0.7119000000000001, 1.2027, 0.20950000000000002, 1.1948, 0.35450000000000004, 0.7716000000000001, 0... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(3) @ Z(1)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(3)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 14.5 * Z(2) + 8.5 * Z(1) + 16.0 * Z(3) + -6.0 * Z(4) + 10.0 * Z(5) + -4.0 * Z(6) + 8.0 * Z(9) + 9.5 ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1100101001"], "largest_eigenvalue": 153.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.14750987136152066) q[0];
rz(-1.3783620091742987) q[0];
rx(-0.21206827412479984) q[1];
rz(-0.040613477559973826) q[1];
rx(1.5225703200677023) q[2];
rz(0.08940348574874511) q[2];
rx(1.5830541305989927) q[3];
rz(0.023494722062244344) q[3];
rx(-0.036634246843366046) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIZZIIIII",
"ZIIIIIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIIIIZ"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
14.5,
8.5,
16,
-6,
10,
-4,
8,
9.5,
10,
-12
] | 0.975947 | [
0.14750987136152066,
-1.0467283585956968,
-0.21206827412479984,
-0.040613477559973826,
1.5225703200677023,
0.08940348574874511,
1.5830541305989927,
0.023494722062244344,
-0.036634246843366046,
-0.5522059089576075,
1.3886649049839992,
0.049042667317427374,
0.15400311939923697,
0.71915751654... | {
"n_parameters": 59,
"n_qubits": 10,
"optimal_eigenvalue": -110.5,
"target_ratio": 0.97,
"target_value": -107.185
} | 20 |
763530b40aee1551d1361e570f18aa92 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [0, 415], "expectation_value": -11.54118879234939, "params": [0.0071, 2.0955, -0.7061000000000001, 0.003, -0.9469000000000001, 0.935, 0.8275, 0.0094, 0.0006000000000000001, 2.3067, 0.002, 0.007500000000000001, 0.0031000000000000003, 2.3080000000000003, 0.0028, 0.0045000000000000005, 0.9883000000000001, 1.514... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(7)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(7) + 0.5 ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["001100000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.5235877519634984) q[0];
h q[1];
cx q[1], q[0];
ry(-0.5235877519634984) q[0];
cx q[1], q[0];
ry(0.4541358506069148) q[1];
cx q[0], q[1];
ry(-0.4541358506069148) q[1];
cx q[0], q[1];
h q[2];
ry(-1.5441303935975634) q[2];
ry(-0.04134463188481584) q[3];
rz(-pi)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IZIIZIIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1,
-1.5,
-2,
1,
-2.5,
0.5,
-2,
-2.5,
0.5,
-2,
1,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.970205 | [
0.5031034179611454,
1.1602703147971543,
0.37378500182186103,
1.6155815234281254,
1.6167410174125283,
1.3638042847893481,
-1.5295251464048514,
-1.5441303935975634,
1.2697549685255556,
1.0471755039269968,
0.9082717012138296,
0.46848736271219377,
0.30542061378075086,
0.6224118654224913,
-0.... | {
"n_parameters": 37,
"n_qubits": 9,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 128 |
-4776994046118170535 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 4, 7], [2, 4, 7], [0, 2, 5, 7], [1, 2, 4], [0, 1, 2, 6], [4, 5, 7], [8, 3]]} | {"states": [238, 207], "expectation_value": -1.0621163520072523, "params": [[0.381], [-0.3835]], "bitstrings": ["100010001", "100110000"], "total_optimization_steps": 40, "probabilities": [0.006839362162887683, 0.007029772760294935], "optimization_time": 2.8003668785095215} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.41666666666666663 * (Z(7) @ Z(4)) + 0.25 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(7)) + 0.08333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1666666666666674, "smallest_bitstrings": ["100110000"], "largest_eigenvalue": 6.5} | 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];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(0.037465441458394026) q[8];
cx q[1], q[8];
cx q[1], q[4];
rz(0.4058746363902279) q[4];
cx q[1], q[4];
cx q[1], q[7];
rz(0.037465441458394026) q[7];
cx q[1], q[7];
cx q[1], 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] 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 ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIZI",
"IIIIZIIZI",
"ZIIIZIIII",
"IZIIIIIZI",
"ZZIIIIIII",
"IZIIZIIII",
"IIIIIIZZI",
"IIIIZIZII",
"IZIIIIZII",
"IIIIIIIZZ",
"IZIIIIIIZ",
"IIIIIIZIZ",
"IIIZZIIII",
"IZIZIIIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIZIII",
"IIIIIIIZI",
"... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.41666666666666663,
0.25,
0.3333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.08333333333333333,
0.0833333... | 0.700237 | [
0.037465441458394026,
0.4058746363902279,
-0.11948954778035903,
0.00794646975018814,
0.19950673105910813,
1.5301845626249004,
1.1386793186941513,
1.514741612281683,
1.1557953944880472,
-1.1979762660084443,
-1.105266859269258,
-1.1432997015006354
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -2.2499999999999996,
"target_ratio": 0.97,
"target_value": -2.1824999999999997
} | 276 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [38, 7], "expectation_value": -4.175686961420978, "params": [[-0.0684, -0.0631, -0.020300000000000002], [0.0786, 0.0805, 0.0627]], "bitstrings": ["011001", "111000"], "total_optimization_steps": 10, "probabilities": [0.036929630880566985, 0.03849057257873844], "optimization_time": 6.392212152481079} | 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)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 11 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
1d5830a984622eead42a5eae40078f2f | 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": 6}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [15, 78], "expectation_value": -0.06630867483750476, "params": [[0.0526], [-0.0441]], "bitstrings": ["1110000", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008216548045016687, 0.008287274098419091], "optimization_time": 1.2389106750488281} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.5 * Z(2) + -1.0 * Z(1) + -0.5 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000", "0110001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(0.3489169545147741) q[0];
rz(0.19904142919526457) q[0];
ry(-0.010000419084834976) q[1];
ry(0.7018807777533977) q[2];
ry(0.1334916632691144) q[3];
ry(0.14345604641563403) q[4];
ry(-0.25925629263809963) q[5];
ry(-0.16211681254208915) q[6];
cx q[6], q[0];
rz(-0.19904142... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(x0) q[0];
cx q[6], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZ",
"IIIIZIZ",
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IZIIIZI",
"IIZIZII",
"ZIIIIII",
"IIIIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-1.5,
-1,
-0.5,
0,
0
] | 0.983285 | [
0.3489169545147741,
-0.010000419084834976,
0.7018807777533977,
0.1334916632691144,
0.14345604641563403,
-0.25925629263809963,
-0.16211681254208915,
0.39808285839052915,
0.18678482838336213,
0.007416060566003385,
0.5559541478011963,
-0.11684483584027172,
0.269108552615918,
0.055465068797176... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 13 |
da1b1c85f8e653b867f6f4bdba638afa | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [3, 7], "expectation_value": -4.135572213772959, "params": [0.1012, 0.0976, -0.0015, -0.0041, 0.0613, 0.054400000000000004, 0.0034000000000000002, 0.0048000000000000004, 0.20670000000000002, 0.20400000000000001, 0.1993, 0.2034, 0.19890000000000002, 0.1965, 0.0952, 0.0944, -0.0054, -0.0027, 0.0541, 0.0567, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 14 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101001", "0111001", "1111000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.03208384136978) q[0];
rz(1.1529037528344812) q[0];
rx(3.0700951243921843) q[1];
rz(-1.3038601993648782) q[1];
rx(2.7848649180839136) q[2];
rz(-1.3038601993648782) q[2];
rx(-0.3029962700085394) q[3];
rz(-0.6966306365913719) q[3];
rx(2.903387714224511) q[4];
rz(0.7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IIZIIZI",
"IIZZIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IIZIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-2,
-1,
-0.5,
0
] | 0.97036 | [
3.2511014658098065,
0.9365748093907186,
3.0700951243921843,
-1.3038601993648782,
2.7848649180839136,
-0.3029962700085394,
-0.6966306365913719,
2.903387714224511,
0.7624352408508751,
2.8830223660071757,
-2.241045445073787,
2.8420106823505695,
0.9076514518624942,
-0.007602550276479374,
3.1... | {
"n_parameters": 31,
"n_qubits": 12,
"optimal_eigenvalue": -4.125,
"target_ratio": 0.97,
"target_value": -4.00125
} | 47 |
8f21ecaec272429f1bdc72f298b44a30 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "so... | {"states": [1, 15], "expectation_value": -5.973429164810101, "params": null, "bitstrings": ["11110", "10000"], "total_optimization_steps": 38, "probabilities": [0.08996421767388751, 0.6443062405164904], "optimization_time": 22.77186870574951} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + 1.75 * (Z(4) @ Z(0)) + -1.75 * (Z(4) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.0 * Z(4) + -0.25 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.08724389564847751) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.011836385549881461) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-1.047686382723164) q[1];
rx(1.1987979393789188) q[1];
rz(-0.44952800909731894) q[3];
cx q[0], q[3... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5708) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... | [
"IIIZZ",
"IZIZI",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
-0.25,
-1.5,
-1.25,
1.75,
-1.75,
-2.75,
1.25,
-0.25,
-0.75,
0,
-0.25
] | 0.891714 | [
-0.08724389564847751,
0.011836385549881461,
-0.44952800909731894,
-0.29147368059620293,
0.7280283660373118,
0.7662136357667987,
-1.047686382723164,
-0.36229933156876115,
-0.0461740530584128,
1.1987979393789185,
0.02516654379014708,
-0.005014422258785183,
-0.30548343106272147,
-1.1670616733... | {
"n_parameters": 19,
"n_qubits": 5,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 500 |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [0, 1], "expectation_value": -2.841785383007359, "params": [[[0.0027, 0.343], [0.0025, 0.43210000000000004], [0.6037, -0.0005], [0.8064, -0.0037]], [[0.0044, 0.0034000000000000002], [0.0032, 0.0037], [0.6085, 0.0014], [0.8103, 0.0047]]], "bitstrings": ["1111", "1110"], "total_optimization_steps": 80, "probab... | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 2 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13943302053146128) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.2546523334796689) q[2];
cx q[1], q[2];
rz(-0.7155720410694917) q[1];
rx(-1.7587368543198154) q[1];
rz(0.6317748164920753) q[2];
rx(-1.7587368543198154) q[2];
h q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"ZIIZ",
"IZZI",
"IIZI",
"IIIZ",
"ZIII",
"IZII"
] | [
-0.75,
1,
-1,
-1.75,
-0.25,
1,
1
] | 0.974967 | [
-0.13943302053146128,
0.6317748164920755,
-0.2546523334796689,
-0.7155720410694918,
-0.8847263429635749,
-1.7587368543198154,
-0.39840533455052923,
0.9596950419953695,
-0.3894973625686309,
-1.5007620154927859,
-0.8383337619275093,
-0.8965996704617766
] | {
"n_parameters": 12,
"n_qubits": 4,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 48 |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [15, 111], "expectation_value": -4.999617773725913, "params": null, "bitstrings": ["1110000", "0010000"], "total_optimization_steps": 46, "probabilities": [0.1406142897994426, 0.42182337484238264], "optimization_time": 24.77440905570984} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 5 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5948060088334446) q[0];
rz(2.75476497416349) q[0];
rx(1.1536880317161984) q[1];
rz(-2.5506922440046464) q[1];
rx(-0.3980453346676857) q[2];
rz(2.6285697961866923) q[2];
rx(-2.1859488611686606) q[3];
rz(-3.0403900431441846) q[3];
rx(-1.6370190111416911) q[4];
rz(2.9... | null | {"node": 3} | {"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];\ncry(1.5486) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... | [
"IIIIIZZ",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970969 | [
1.5948060088334446,
1.1839686473685938,
1.1536880317161984,
2.1616967363800432,
-0.39804533466768566,
1.0577734693917953,
-2.1859488611686606,
1.671998937240505,
-1.6370190111416911,
1.3936221263282822,
-0.3367839141949689,
0.20393829066176794,
-1.0278306138913633,
1.9705848592071784,
0.... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 212 |
45466ddcbcd55abeab47b3eb1e9b72c1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 7},... | {"states": [1921, 1920], "expectation_value": -2.7741809770481822, "params": [[-0.06330000000000001], [0.0688]], "bitstrings": ["00001111110", "00001111111"], "total_optimization_steps": 10, "probabilities": [0.0009279263725701736, 0.0009500038918577767], "optimization_time": 1.6159231662750244} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -3.0 * (Z(4) @ Z(9)) + -3.0 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + -2.5 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["00001111111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(1.21417336565297) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.17889757525833214) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.17889757525833216) q[2];
rx(0.9728210493312652) q[2];
rz(0.7555693597465634) q[3];
cx q[0], q[3];
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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IZIIIIZIIII",
"IZIIIZIIIII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IZIZIIIIIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IZZIIIIIIII",
"IIZIIIZIIII",
"IIZIIZIIIII",
"IIZIZIIII... | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-3,
-3,
0.5,
1,
0.5,
-3,
0.5,
0.5,
0.5,
-2.5,
-4,
1,
1,
-3,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1.5,
-2.5,
1,
-2.5,
-2,
-2.5,
0.5
] | 0.535263 | [
1.21417336565297,
0.17889757525833214,
0.7555693597465634,
0.5433957968185804,
0.18567321106659226,
0.6882737523828097,
0.40544734367445295,
0.3045757675445242,
0.9728210493312651
] | {
"n_parameters": 9,
"n_qubits": 11,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 222 |
64b81587301614454a8e204aef648a08 | 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": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [111, 65], "expectation_value": -0.8743969090352179, "params": [[-0.0721], [0.06860000000000001]], "bitstrings": ["10010000", "10111110"], "total_optimization_steps": 10, "probabilities": [0.005612733910037082, 0.005728556164064099], "optimization_time": 1.9726645946502686} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "10111110"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.7620331655042796) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.009727605300973743) q[3];
cx q[0], q[3];
cx q[3], q[2];
rz(0.022309653861594385) q[2];
cx q[3], q[2];
h q[4];
cx q[1], q[4];
rz(0.022309653861594385) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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",
"IIIIZIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.25,
-1.5,
-0.75,
-1.25,
2,
-0.75,
-1,
-0.75,
-1.25,
-0.5,
-0.5,
1.75,
-0.25,
-3,
-1.75,
0.75,
2.5,
0,
0
] | 0.970256 | [
-0.7620331655042796,
0.009727605300973743,
0.022309653861594385,
-0.5342435375433542,
0.4659873954897646,
-0.037513852242874623,
-0.6135829027365842,
0.48420167523977486,
-0.6188044349738584,
-0.746188471536007,
1.1163776811111443,
-0.12719197134176755,
-0.03880296896392278,
-1.39805669698... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 176 |
1836f56c6aacade8d2873047a951421e | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [408, 410], "expectation_value": -1.5009084252284488, "params": [[[1.6003, 0.005], [1.6124, 0.004200000000000001], [0.002, 0.0059], [0.9901000000000001, 0.007200000000000001], [1.6101, 0.0073], [1.5996000000000001, 0.0045000000000000005], [0.547, 0.0039000000000000003], [1.5984, 0.0079], [0.9843000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(7) @ Z(5)) + 0.25 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["001100101"], "largest_eigenvalue": 7.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.20266467470833227) q[0];
rz(2.168432193317308) q[0];
rx(0.07081375388277941) q[1];
rz(1.7717666353110797) q[1];
rx(0.13646139574937427) q[2];
rz(1.3847292031501102) q[2];
rx(0.11845607904840359) q[3];
rz(1.5638165193041313) q[3];
rx(-0.36514156036254475) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIZIZIIII",
"IZZIIIIII",
"ZIIIIIIZI",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"ZZIZIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
0,
-0.5,
-0.25,
-0.25
] | 0.972406 | [
-0.20266467470833233,
0.5976358665224123,
0.07081375388277941,
0.2009703085161829,
0.13646139574937427,
-0.18606712364478684,
0.1184560790484036,
-0.0069798074907648205,
-0.3651415603625448,
-0.3989072995223136,
0.27120050297296056,
0.08141328367978312,
0.0618548223809936,
0.44064280983791... | {
"n_parameters": 110,
"n_qubits": 8,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 91 |
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": 23.990872621536255} | -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 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["100000", "110000"], "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 |
62ca4fdc3f835f51dee1780376d2bf19 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [0, 38], "expectation_value": -2.367625096279643, "params": [[[0.1459, 0.02], [0.3921, -0.0392], [0.08610000000000001, -0.17420000000000002], [0.3904, 0.3972], [0.39640000000000003, 0.39880000000000004], [0.4021, 0.1937]], [[-0.3854, 0.0212], [0.396, -0.020200000000000003], [0.11710000000000001, 0.0249000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 15 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03311259666018414) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(-0.03311259666018414) q[5];
cx q[2], q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.03311259666018414) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0.033... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"ZIIZII",
"ZIIIIZ",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-0.5,
-0.5
] | 0.970979 | [
-0.03311259666018414,
-0.926740016131006,
1.1332781721574576,
-0.6828999435483087,
0.048848077717694956,
-0.6892557923561745,
-0.9341746867604942,
-1.0526159075651214,
1.562787464657171,
-0.6479653873188044,
-0.7809022078920977,
-0.48800858196832586,
-0.05786698635618916,
-3.23403462105192... | {
"n_parameters": 16,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 139 |
f02486e620079ab47aa57a305823b7d3 | 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": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "target": 7}, {"sour... | {"states": [461, 453], "expectation_value": -4.089917733511046, "params": [[0.9168000000000001, 0.0033, 1.58, 0.003, -0.10200000000000001, 0.038200000000000005, 1.5694000000000001, -0.0029000000000000002, 0.5776], [1.7017, 1.5989, 1.5742, -0.0017000000000000001, 0.09040000000000001, 1.5536, 1.5712000000000002, -0.00290... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(7) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(8) + -0.5 * Z(6) + 0.0 * Z(4) | 10 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["010100110", "000111010", "010110010", "000101110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.827865271599731) q[0];
ry(0.1653063245008405) q[1];
ry(1.1846524803418053) q[2];
ry(-0.15219918199130467) q[3];
ry(0.07646432384313484) q[4];
ry(0.18645936912774025) q[5];
ry(1.11968631209324) q[6];
ry(0.016375952312137832) q[7];
ry(0.232858485635403) q[8];
cz 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"IIIZIIIZI",
"IZIIIZIII",
"IIIIIZZII",
"ZIIIIZIII",
"IZZIIIIII",
"IIZIZIIII",
"IZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIZIIIII",
"IIIIIZIII",
"IIIIIIZII",
"ZIIIIIIII",
"IIZIIIIII",
"IIIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
0,
-0.5,
-0.5,
-1,
0,
0,
-0.5,
0
] | 0.977931 | [
0.827865271599731,
0.1653063245008405,
1.1846524803418053,
-0.15219918199130467,
0.07646432384313484,
0.18645936912774025,
1.11968631209324,
0.016375952312137832,
0.232858485635403,
2.3748438749365057,
2.9782257781610215,
2.022855417561929,
-0.06283644834932559,
0.07942737332442086,
0.18... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 29 |
0782d3cd57e18fd1ecafaa7e981038f9 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [22186, 21930], "expectation_value": -1.7021193037448914, "params": null, "bitstrings": ["1010100101010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12101273070670106, 0.2642822029339899], "optimization_time": 899.1992011070251} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008264462809917356 * (Z(4) @ Z(0)) + -0.0006714876033057851 * (Z(4) @ Z(2)) + -0.0008264462809917356 * (Z(5) @ Z(1)) + -0.0006714876033057851 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.019214876032997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.019214876032984, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.0159090909090756} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
ry(-0.2567896002890729) q[0];
h q[1];
cx q[1], q[0];
ry(0.2567896002890729) q[0];
cx q[1], q[0];
ry(0.23560660428071853) q[1];
cx q[0], q[1];
ry(-0.23560660428071853) q[1];
cx q[0], q[1];
ry(0.7604729356654801) q[1];
ry(-0.18604225260861412) q[0];
h q[2];
ry(-0... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5953) q[14], q[15];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008264462809917356,
-0.0008264462809917356,
0.25,
-0.0008264462809917356,
-0.0006714876033057851,
-0.0008264462809917356,
-0.0006714876033057851,
0.25,
0.0002066115702479339,
0.0003099173553719008,
-0.0008264462809917356,
0.0002066115702479339,
0.0003099173553719008,
-0.0008264... | 0.970334 | [
-1.0496079499719242,
-0.8350378171455128,
-0.8738122170818095,
-0.7530441998686795,
-0.5135792005781458,
-1.8000618569524787,
-0.2975580869000305,
0.1273937779382094,
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1.1874489436854012,
0.8355887902716849,
-0.46464224077895894,
0.9857191080112008,
-0.12373420036997135... | {
"n_parameters": 95,
"n_qubits": 16,
"optimal_eigenvalue": -2.019214876032997,
"target_ratio": 0.97,
"target_value": -1.9586384297520072
} | 111 |
0a1e4f1eedff6ecec9c663580d739dcf | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [240, 112], "expectation_value": -3.363714737647923, "params": [[[1.5253, 0.0026000000000000003], [2.8365, 0.0073], [1.8477000000000001, 0.0022], [2.8524000000000003, 0.009600000000000001], [-0.0025, 0.006500000000000001], [-0.0025, 0.0028], [-0.0019, 0.0031000000000000003], [-0.0024000000000000002, 0.009000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ 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(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.875, "smallest_bitstrings": ["01011101", "01001111", "00101111", "00011111", "10001111"], "largest_eigenvalue": 7.125} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.34278266779565625) q[0];
rz(0.19600249216987364) q[0];
rx(2.952541238289318) q[1];
rz(-0.2215349093412099) q[1];
rx(2.7374363822785535) q[2];
rz(-0.45219090139967616) q[2];
rx(3.2536389605490608) q[3];
rz(-0.06643294396770069) q[3];
rx(-0.18379036608309962) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZZI",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZZ",
"IIZIIIIZ",
"IIIZIIIZ",
"IIZZIIII",
"IIZZIIIZ",
"IZIIIIZI",
"ZIIIIZII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
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-0.125,
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-0.125,
0.125,
0.25,
0.25,
0.25,
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0.5,
0.5,
0.5,
-0.125,
-0.125,
-0.125,
0.125,
-0.75,
-0.75,
-0.5,
-1
] | 0.973472 | [
0.34278266779565625,
0.19600249216987364,
2.952541238289318,
-0.2215349093412099,
2.7374363822785535,
-0.45219090139967616,
3.2536389605490608,
-0.06643294396770069,
-0.18379036608309962,
0.062003997458954255,
-0.24608959026060342,
0.09897644839173196,
-0.03381862674513483,
0.0191546409803... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -3.875,
"target_ratio": 0.97,
"target_value": -3.75875
} | 11 |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888257, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 64.63121581077576} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7388502636479408) q[0];
h q[1];
ry(0.8364853737259059) q[1];
h q[2];
h q[3];
h q[4];
ry(0.787806496993027) q[4];
h q[5];
ry(1.5530979908529392) q[5];
h q[6];
ry(1.5530979908529392) q[6];
cx q[6], q[1];
ry(-0.8364853737259059) q[1];
cx q[6], q[1];
h q[7];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... | [
"IIIIZIIZ",
"IZIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZZIIIIII",
"IIIZZIII",
"IZIZIIII",
"IIIZIZII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIZI",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIIZIIII",
"IIIIIZII",
"IIZIIIII"
] | [
-1,
-1.75,
-1,
1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
-0.25,
1.5,
-1.5,
-1,
-0.25,
-0.25,
2.25
] | 0.972173 | [
1.5530979908529392,
1.6729707474518118,
-1.4777005272958816,
1.0428584261011464,
-0.5387470518195514,
1.575612993986054,
0.2895910452877033,
-0.14095535837536688,
0.12654572147272122,
0.0819225196994189,
0.10364277040264942,
0.26808859046062694,
-0.06220001776916481,
-0.12253649147198077,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 1 |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [13, 18], "expectation_value": -0.2213855609128371, "params": [[0.0253, -0.0603], [-0.0558, 0.0553]], "bitstrings": ["110010", "101101"], "total_optimization_steps": 10, "probabilities": [0.016887823979165658, 0.017128798798512576], "optimization_time": 2.9172523021698} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.26735938862423486) q[0];
rz(0.10893230624247693) q[0];
ry(0.1491965529302104) q[1];
ry(0.1605882734467805) q[2];
ry(0.5179101632285602) q[3];
ry(0.44091074970939437) q[4];
ry(0.20939928831505905) q[5];
ry(1.2941176658595661) q[6];
ry(0.9604711128290605) q[7];
ry(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"IIZIZI",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1.5,
-0.5
] | 0.97497 | [
0.26735938862423486,
0.1491965529302104,
0.1605882734467805,
0.5179101632285602,
0.44091074970939437,
0.20939928831505905,
1.2941176658595661,
0.9604711128290605,
-0.3821283109988437,
1.7024078434950567,
0.054818503108896285,
0.21786461248495387,
-0.7416832374606571,
-0.39822474854642687,
... | {
"n_parameters": 126,
"n_qubits": 11,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 62 |
df62b430c122c4297c9377287854fb07 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 9.610477924346924} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
bf001351f2bf5e55c043b36bf1cfc0ff | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [90, 74], "expectation_value": -2.532920441041799, "params": [0.2068, 0.0002, 0.2076, 0.00030000000000000003, 0.1966, -0.0035, 0.1882, -0.0033, 0.1844, -0.0031000000000000003, 0.1819, -0.0035, 0.2023, -0.0015, 0.2028, -0.0017000000000000001, 0.1444, 0.0011, 0.1427, -0.0019, 0.20720000000000002, -0.002, 0.201... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(5) | 6 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["1101100", "0110011", "1001101", "0111100", "0110101", "1100101", "0011101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZIZI",
"IIZIZII",
"IIZIIZI",
"ZIIZIII",
"ZIIIIZI",
"ZIZIIII",
"IZZIIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-1,
-1.5,
-1,
0
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
9e8a866d2c0011b6946d4c64e758f31c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [20, 28], "expectation_value": -2.6325204735746675, "params": [[[-0.0031000000000000003, 0.004], [1.7084000000000001, 0.0016], [1.6561000000000001, 0.0015], [1.7087, 0.007], [0.2756, 0.0043], [0.2832, 0.004]]], "bitstrings": ["101011", "100011"], "total_optimization_steps": 170, "probabilities": [0.142235767... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
e7056fbb187e68baa5d05b0b9cb6a901 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -0.10883615159711289, "params": [[-0.050300000000000004], [0.0551]], "bitstrings": ["001011", "001110"], "total_optimization_steps": 10, "probabilities": [0.016506033357871763, 0.01684371534168045], "optimization_time": 1.5281388759613037} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
7f0d2bfc05909744663b2bcae9f287f1 | 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": 6}, {"source": 0, "target": 7}, {"source": 0, "target": 4}, {"source": 1, "ta... | {"states": [42, 106], "expectation_value": -6.056065206726576, "params": [[-0.0033, 0.5938, 0.8001, 0.003, 0.6249, 0.0297, 0.6309, -0.014400000000000001], [-0.0055000000000000005, -0.038200000000000005, 0.29410000000000003, 0.0028, 0.6251, -0.0132, 0.6364000000000001, -0.0056], [-0.001, 0.6043000000000001, 0.8633000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 *... | 10 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["10010101"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.08327947866616153) q[0];
ry(0.8340383065839818) q[1];
ry(0.9115875574171406) q[2];
ry(0.060518078994070704) q[3];
ry(0.6024563167001041) q[4];
ry(0.04467604497919586) q[5];
ry(0.5635721357827933) q[6];
ry(0.033747228774349575) q[7];
cz q[7], q[6];
cz q[6], q[5];
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] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IZIIIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZZII",
"IZIIZIII",
"IIZIIIZI",
"IIZIIZII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-1.5,
-0.5,
-1.5,
0,
-1,
-1
] | 0.977339 | [
0.08327947866616153,
0.8340383065839818,
0.9115875574171406,
0.060518078994070704,
0.6024563167001041,
0.04467604497919586,
0.5635721357827933,
0.033747228774349575,
-0.07338695983994117,
0.07044595880765164,
0.3382759882194684,
-0.0062597322131654285,
0.7534365448032272,
-0.00412567813466... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 8 |
9c1ee192c2f57fe7cc46ca444fd40044 | 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": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -0.5025111668418274, "params": [[-0.0408, -0.0369, 0.0506], [0.0512, 0.0478, -0.011600000000000001]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.02002388075115598, 0.021108320612243332], "optimization_time": 3.4822566509246826} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.4280305935609409) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.586367014293522) q[4];
cx q[1], q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.586367014293522) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.4280305935609409... | OPENQASM 3.0;
include "stdgates.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",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"IIZZII",
"ZIIIIZ",
"ZZIIII",
"ZIIZII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
-1,
-0.75,
-0.75,
-0.75,
-0.75,
-1,
-0.5,
-0.75,
2,
-0.25,
-1,
-1.5,
-0.25,
0,
0.25,
0.75,
0.75
] | 0.573914 | [
-0.4280305935609409,
-0.586367014293522,
-0.5941967814927773,
0.9893183086380308,
-0.015078214242113929,
-0.4197495527732082,
-0.00750719659323729,
0.17460404483085798,
0.3564795609965509,
-0.9246051704663378
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 223 |
5ff13daf48c5dfc8657b57cf7715e1fc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4092, 4095], "expectation_value": -14.811934093273413, "params": null, "bitstrings": ["000000000011", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.12192779733864502, 0.36541708316385607], "optimization_time": 235.43962121009827} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 1.0 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(1.1536420757489187) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(1.1536420757489187) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.10539100401300772) q[1];
rx(0.9458169338012185) q[1];
rz(1.1536420757489187) q[2];
cx q[0], q[2];
rz(0.1053... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZZIII",
"IIIIIIZZIIII",
"IIIIIIZIZIII",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IIZIIZIIIIII",
"IIIZZIIIIIII",
"IIIIZZIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIIIIZII",
"IIIIIIIZIIII",
"IIIIIIIIZIII",
"IIIIIIZII... | [
-1.5,
-1.5,
-1.5,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1,
0.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.568493 | [
1.1536420757489187,
0.4647440094473576,
0.10539100401300808,
1.4101173553739703,
0.37363821744157655,
0.9458169338012185
] | {
"n_parameters": 6,
"n_qubits": 12,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 164 |
53fe6021db3e1b033580a90e7918c571 | 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": [1609, 587], "expectation_value": -69.760645008685, "params": [[[0.2933, 0.182], [0.5995, 0.34040000000000004], [0.0424, 0.19440000000000002], [0.17420000000000002, 0.1202], [0.6013000000000001, 0.5561], [0.0641, 0.4949], [-0.024300000000000002, 0.0741], [0.5994, 0.5203], [-0.014, 0.5959], [0.5872, 0.5506], ... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(2) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(10) @ Z(8)) + 3.5 * Z(0) + 15.0 * Z(1) + 8.5 * Z(3) + 10.0 * Z(4) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-109.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.5, "smallest_bitstrings": ["10110110100"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.25431974533878265) q[0];
ry(0.6682971859501836) q[1];
ry(0.0008581610996409236) q[2];
ry(0.00609008869904315) q[3];
ry(0.8042891706118274) q[4];
ry(-0.1851042139792764) q[5];
ry(0.11225930186354996) q[6];
ry(1.1197551912994603) q[7];
ry(-0.05232970216173643) q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZZIIIIII",
"IZIIIIIIIIZ",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIIIII",
"IIIIIIIIZ... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
3.5,
15,
8.5,
10,
-3,
7,
-4.5,
-1.5,
13,
4.5,
20
] | 0.970713 | [
0.25431974533878265,
0.6682971859501836,
0.0008581610996409236,
0.00609008869904315,
0.8042891706118274,
-0.1851042139792764,
0.11225930186354996,
1.1197551912994603,
-0.05232970216173643,
0.33670651535750956,
0.8756531980819587,
0.04989513403478959,
0.08920212118262796,
0.0364837447099518... | {
"n_parameters": 85,
"n_qubits": 11,
"optimal_eigenvalue": -109.5,
"target_ratio": 0.97,
"target_value": -106.215
} | 76 |
7fbf61ffa47f199b4de407a2a49d3fbd | 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": [378, 346], "expectation_value": -84.53917149763242, "params": [0.1129, 0.0636, 0.7811, 0.0465, 0.228, 0.0577, 0.6695, 0.0999, 0.7932, 0.1865, 0.7517, 0.12490000000000001, 0.7887000000000001, -0.1553, 0.2479, -0.301, 0.7905000000000001, -0.041, 0.14850000000000002, -0.1427, 0.11960000000000001, 0.0162, 0.785... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(5)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(8)) + 4.0 * Z(0) + 8.0 * Z(1) + 15.5 * Z(3) + -1.0 * Z(2) + 10... | 4 | 10 | 4 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1010100101"], "largest_eigenvalue": 146.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.09412889079296183) q[0];
rz(1.5990392955437684) q[0];
rx(0.7818881100511158) q[1];
rz(1.4106565649211618) q[1];
rx(0.1731291435868415) q[2];
rz(1.5270104738315773) q[2];
rx(1.0152138528815078) q[3];
rz(1.7591975084373441) q[3];
rx(0.9684466210813193) q[4];
rz(1.90... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IIIZIIIIIZ",
"IIZZIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"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,
4,
8,
15.5,
-1,
10,
20,
7,
7,
15,
-5
] | 0.970488 | [
0.09412889079296183,
0.028242968748871857,
0.7818881100511159,
-0.16013976187373527,
0.1731291435868415,
-0.04378585296331893,
1.0152138528815076,
0.18840118164244715,
0.9684466210813194,
0.3378269529017904,
0.5874558467404029,
0.1425108167735365,
0.7385052857003876,
-0.19055105050463872,
... | {
"n_parameters": 114,
"n_qubits": 10,
"optimal_eigenvalue": -94.5,
"target_ratio": 0.97,
"target_value": -91.66499999999999
} | 14 |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -1.9855888858598751, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 27, "probabilities": [0.10406139442534974, 0.8717759131270884], "optimization_time": 22.510522603988647} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5
] | 0.720045 | [
0.022216824968526526,
0.6284369302106981,
-1.317266113042237,
0.027624710446691313,
-0.865652482486156
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 144 |
11bc780ee0dea252ffa14ebfc46f89b7 | 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": 2, "source": 0, "target": 3}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -23.174439858182442, "params": [-0.0036000000000000003, 0.1899, 0.0002, 0.21150000000000002, -0.0039000000000000003, 0.20670000000000002, 0.0007, 0.23870000000000002, -0.0034000000000000002, 0.2449, 0.0009000000000000001, 0.24480000000000002, 0.3015, 0.0054, 0.2993, 0.002100000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(6)) + -0.25 * (Z(11) @ Z(9)) + -0.75 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(9)) + -1.25 * (Z... | 7 | 12 | 3 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 21.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.028909853551716016) q[0];
rz(-0.07276067386475127) q[0];
rx(0.03410048568357666) q[1];
rz(0.03142552644740853) q[1];
cx q[1], q[0];
rz(0.11102934200020385) q[0];
cx q[1], q[0];
rz(1.7691028439370902) q[0];
ry(0.07941987858858048) q[0];
rz(-1.776146585461031) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIZIIIIIZ",
"IIZIIIIIIIZI",
"IIZIIIZIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIZIIIII",
"ZIIIIZIIIIII",
"ZIZIIIIIIIII",
"IIIIIIZZIIII",
"IIIIIZIZIIII",
"IIZIIIIZIIII",
"ZIIIIIIZIIII",
"IIIIIIZIIZII",
"IIIIIZIIIZII",
"ZIIIIIIIIZII",
"IIIIIIIZI... | [
-0.75,
-0.5,
-0.5,
-0.75,
-1.5,
-1,
-1,
-0.75,
-0.25,
-0.25,
-0.75,
-0.5,
-0.75,
-1.25,
-0.5,
-0.75,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-0.25,
-2.25,
-0.75,
-0.5,
-0.5,
-1,
2.25,
-0.25,
0.25,
-0.25,
0.25,
1,
-3.5,
0.5,
-3.25,
2,
0.75,
0.75,... | 0.984398 | [
0.02890985355171602,
0.03826866813545261,
0.03410048568357666,
0.03142552644740853,
0.12466418802269516,
0.29038858554624414,
0.35736759982732524,
-0.22277740542398167,
-0.20807630269103994,
0.292351612559124,
0.14641013397888014,
0.3574416095857928,
-0.07812780476431555,
0.194311447429181... | {
"n_parameters": 150,
"n_qubits": 12,
"optimal_eigenvalue": -26.25,
"target_ratio": 0.97,
"target_value": -25.4625
} | 6 |
-776429237694210839 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 10, 7], [8, 4, 7], [8, 5], [8, 9], [0, 3, 4, 5, 7], [1, 3, 4, 5, 6], [0, 2, 5, 6, 10], [0, 9], [8, 1, 3], [1, 2, 3, 6], [9, 3, 7], [8, 2], [2, 4, 5, 7, 9], [10, 4, 5, 7], [1, 3, 5, 7, 10], [0, 1, 4, 8], [0, 8, 10, 3]]} | {"states": [1017, 1009], "expectation_value": -3.448110362121425, "params": [[[1.5677, 1.5253], [3.0021, -1.5277], [3.0116, 0.4333], [2.1562, 0.9713], [1.5727, 1.5725], [-0.0023, 1.5685], [-0.0022, 0.0025], [-1.5806, 1.5250000000000001], [3.1584000000000003, 1.5311000000000001], [1.5735000000000001, 1.5691000000000002]... | 0.21666666666666667 * (Z(3) @ Z(2)) + 0.3 * (Z(8) @ Z(2)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.08333333333333333 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(3)) + 0.35 * (Z(5) @ Z(8)) + 0.25 * (Z(5) @ Z(9)) + 0.183333333333333... | 15 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.466666666666666, "smallest_bitstrings": ["10000001110"], "largest_eigenvalue": 15.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5222676388433516) q[0];
ry(4.287472140025171) q[1];
ry(4.767187597085166) q[2];
ry(1.5154167042479096) q[3];
ry(1.4372277704849559) q[4];
ry(1.6293923235050431) q[5];
ry(-1.4527520060984258) q[6];
ry(-1.5453531809500298) q[7];
ry(4.635691784017719) q[8];
ry(1.4722... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIIZZII",
"IIZIIIIIZII",
"IIZIIIIZIII",
"IZIIIIIIZII",
"IZIIIIIZIII",
"IZZIIIIIIII",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIZIIZIIIII",
"IZIIIZIIIII",
"IIIIZIIIZII",
"IIIIZIIZIII",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IIIIZZIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"ZIIIIZIII... | [
0.21666666666666667,
0.3,
0.21666666666666667,
0.08333333333333333,
0.5,
0.16666666666666666,
0.08333333333333333,
0.05,
0.35,
0.25,
0.18333333333333335,
0.1,
0.23333333333333334,
0.5,
0.23333333333333334,
0.05,
0.21666666666666667,
0.5,
0.05,
0.05,
0.13333333333333333,
0.0... | 0.972407 | [
1.5222676388433516,
4.287472140025171,
4.767187597085166,
1.5154167042479096,
1.4372277704849559,
1.6293923235050431,
-1.4527520060984258,
-1.5453531809500298,
4.635691784017719,
1.4722868664668103,
1.5499697770254424,
1.5460853727008383,
-1.5935564032996063,
-1.6091874949844638,
1.73663... | {
"n_parameters": 22,
"n_qubits": 11,
"optimal_eigenvalue": -4.833333333333335,
"target_ratio": 0.97,
"target_value": -4.688333333333334
} | 284 |
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": -0.07355692926471977, "params": [[-0.0582], [0.0584]], "bitstrings": ["010011", "010101"], "total_optimization_steps": 10, "probabilities": [0.01648586041577934, 0.016686268545433057], "optimization_time": 1.3344309329986572} | 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 | 1 | {"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;
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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(x0) q[4]... | 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 |
6520969199120361675 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 4, 5, 6, 8], [0, 2, 4, 6, 8], [1, 3, 4, 5, 7, 8], [0, 1, 3, 4, 8], [8, 2, 7], [2, 3, 5, 6], [0, 1, 2, 3, 5], [2, 3, 4, 5, 8], [0, 1, 4, 6, 7, 8], [2, 3, 4, 6, 7], [0, 1, 4, 5, 6], [0, 1, 3, 4, 7], [0, 1, 2, 3, 4, 6]]} | {"states": [249, 245], "expectation_value": -2.719122120281277, "params": null, "bitstrings": ["100000110", "100001010"], "total_optimization_steps": 46, "probabilities": [0.015075522246266636, 0.9234110595371102], "optimization_time": 91.94878673553467} | 0.3 * (Z(1) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666669 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(5)) + 0.26666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666669 * (Z(8) @ Z(1)) + 0.13333333333333336 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7166666666666663, "smallest_bitstrings": ["100001010"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.14985235609686243) q[0];
ry(-3.059226425089503) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5291993365765744) q[2];
h q[3];
cx q[3], q[0];
ry(0.14985235609686243) q[0];
cx q[3], q[0];
ry(-0.24057039662415286) q[0];
h q[4];
ry(1.5988341763203864) q[4];
cx q[4], q[1];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5665) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIZIIZI",
"IIIZZIIII",
"IIIZIIIZI",
"IIZIZIIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIZIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIZIIIIII",
"IIIIZIIIZ",
"IIIIIIIZZ",
"IIIZIIIIZ",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIZIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZIZ",
"... | [
0.3,
0.18333333333333335,
0.18333333333333335,
0.26666666666666666,
0.16666666666666669,
0.18333333333333335,
0.26666666666666666,
0.16666666666666669,
0.13333333333333336,
0.13333333333333333,
0.26666666666666666,
0.26666666666666666,
0.1,
0.16666666666666669,
0.13333333333333333,
0.1... | 0.986118 | [
1.5988341763203864,
1.5291993365765744,
1.3525920815413885,
-0.46215397119469515,
0.27167603350643554,
-0.29970471219372485,
0.5024635684264602,
-0.4811407932483057,
0.4367506271211194,
-0.5214044550664821,
-0.3810974147033142,
0.36501816588710956,
-0.31693565672344615,
0.3698946111218247,... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 1 |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 3], "expectation_value": -10.360290515759939, "params": [[[0.5820000000000001, 0.0028], [0.4907, 0.008400000000000001], [0.5096, 0.008400000000000001], [1.5456, 0.004], [1.6013000000000002, 0.0016], [1.5985, 0.0015]]], "bitstrings": ["111000", "111100"], "total_optimization_steps": 160, "probabilities": ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 69.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
-6,
-5.75,
-6,
-5.75,
-5.25,
-5.25
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
58927404864b316a7a7c3805d96a54c5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 6, "source": 1, "target": 3}, {"capacity": 5, "s... | {"states": [157, 29], "expectation_value": -14.722399739696694, "params": null, "bitstrings": ["101100010", "111100010"], "total_optimization_steps": 74, "probabilities": [0.24918865048918773, 0.47078443278394794], "optimization_time": 111.32958340644836} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(8) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -2.75 * (Z(2) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -1.25 * (Z(4) @ Z(7)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.75, -16.75, -16.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -15.75, "smallest_bitstrings": ["101100010", "111100110", "111100010"], "largest_eigenvalue": 19.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.08852221454871459) q[0];
rz(1.4850305891108242) q[0];
rx(-0.022460498049271173) q[1];
rz(-1.2119263256872301) q[1];
rx(0.0036018593934876234) q[2];
rz(0.6680531664906) q[2];
rx(0.003601859393487624) q[3];
rz(1.1010038153947903) q[3];
rx(1.1101477110823375) q[4];
r... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"ZIIIIIIIZ",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIIZIII",
"ZIIIZIIII",
"IZIIZIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZIIZII",
"IZIZIIIII",
"IIIZZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"IZIIIIIII",
"IIIIZIIII",
"... | [
-1,
1.25,
-1.5,
-2.75,
-0.25,
-0.5,
-1.25,
-1.5,
-0.75,
-0.5,
-0.75,
-1,
-0.25,
-1,
-2,
-0.25,
0.75,
-0.5,
-1,
-2.5,
2.25,
-0.25,
3.5
] | 0.972394 | [
-0.0885222145487146,
1.0881884443741296,
-0.022460498049271173,
-0.7092743797278183,
0.0036018593934876234,
1.2418359084736181,
1.1036348045591202,
1.1101477110823375,
0.06106459732284491,
1.3559333559132691,
0.05674914092623268,
0.16301984510572173,
0.7644558023851116,
-0.2009512409085926... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
5685d04b4306b22ae56a2bbc733b9334 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [446, 442], "expectation_value": -2.9530577826358444, "params": [-0.0029000000000000002, -0.0029000000000000002, 1.4984000000000002, 1.5001, 1.4951, 1.4995, 0.0091, -0.0025, 1.5028000000000001, 1.4971, 1.489, 1.4912, 1.4846000000000001, 1.4895, 1.4924000000000002, 0.9909, 1.496, 1.5007000000000001, 0.0763, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.06... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0110011000", "1010011000", "1000101001", "1101000001"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIZIII",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIZIZIIZI",
"IIZIIZIIZI",
"IZIIIZIIZI"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0... | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
-0.19729419424044806,
-0.5757332536939542,
0.5666287536280875,
-0.22616189047412066,
0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
5144181ac27497fdfa9bdb5b8b799630 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 6], "expectation_value": -0.0958138558304596, "params": [[-0.0375, -0.0412, -0.0455, -0.0434], [0.0506, 0.044500000000000005, 0.051800000000000006, 0.051800000000000006]], "bitstrings": ["110", "001"], "total_optimization_steps": 10, "probabilities": [0.1393476231651742, 0.14919449338632151], "optimizati... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.5, "smallest_bitstrings": ["001"], "largest_eigenvalue": 1.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[2] q;
h q[0];
ry(-1.5486225528998339) q[0];
h q[1];
ry(-1.5451929801415893) q[1];
| OPENQASM 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[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"ZIZ",
"ZZI",
"ZII",
"IIZ",
"IZI"
] | [
0.5,
0.5,
-0.5,
0,
0
] | 0.999809 | [
-1.5486225528998339,
-1.5451929801415893
] | {
"n_parameters": 2,
"n_qubits": 2,
"optimal_eigenvalue": -1.5,
"target_ratio": 0.97,
"target_value": -1.455
} | 1 |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 136.68535017967224} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) q[4];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
5191363103344540931 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 4, 5], [2, 4], [0, 3], [3, 4], [2, 5, 7], [1, 6], [0, 4, 5], [0, 8], [0, 2, 7], [3, 7], [8, 1, 3], [0, 6]]} | {"states": [474, 410], "expectation_value": -3.602540487371839, "params": [1.4899, -0.07, 1.4441000000000002, 0.0066, 1.4871, -0.0732, 1.4387, 0.007500000000000001, 0.9711000000000001, 0.39580000000000004, 0.8019000000000001, 0.0002, 0.8092, 0.015600000000000001, 0.2826, 0.0031000000000000003, 1.4949000000000001, 0.079... | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.166666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.500000000000001, "smallest_bitstrings": ["001100101"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.549556557214572) q[0];
rz(1.6209372960891333) q[0];
rx(1.7449402635100009) q[1];
rz(1.5144851834846582) q[1];
rx(0.12913797730382245) q[2];
rz(2.1368179961586717) q[2];
rx(0.5831749864019199) q[3];
rz(1.7352770197084588) q[3];
rx(1.7534921574130347) q[4];
rz(1.5881... | OPENQASM 3.0;
include "stdgates.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",
"IIIIIIZZI",
"IIIIIIZIZ",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"IIIIZIIIZ",
"IIIIZIZII",
"ZIIIZIIII",
"IIIZIIIIZ",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZZIIII",
"IIIIIZIZI",
"IIIIIZIIZ",
"ZIIIIZIII",
"IIIIZZIII",
"IZIIIIIIZ",
"IZIIIIZII",
"IZIZIIIII",
"IZIIIZIII",
"IIZIIIIZI",
"... | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.5,
0.166666666666... | 0.971212 | [
1.5495565572145722,
0.05014096929423614,
1.7449402635100009,
-0.05631114331023805,
0.12913797730382248,
0.5660216693637753,
0.5831749864019199,
0.16448069291356232,
1.7534921574130347,
0.017363031821191165,
1.4411457544732549,
-0.3456905501788906,
0.2031694873375452,
-0.35940771227912893,
... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -4.833333333333335,
"target_ratio": 0.97,
"target_value": -4.688333333333334
} | 69 |
455f6f23bf51d98ac570bfc0b0837643 | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [1015, 992], "expectation_value": -2.243932236431913, "params": [[0.0632], [-0.058300000000000005]], "bitstrings": ["0000001000", "0000011111"], "total_optimization_steps": 10, "probabilities": [0.0018090566560628215, 0.0018696932118134747], "optimization_time": 3.121070623397827} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 1.0 * (Z(9) @ Z(6)) + -2... | 1 | 10 | 1 | {"smallest_eigenvalues": [-30.0, -30.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000001000", "0000011111"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6599147528265946) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6599147528265946) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.6789291006186039) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6599147528265946) q[3];
cx q[1], 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZIIZIIIIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"IZIIZIIIII",
"IZZIIIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI"... | [
-2.5,
-2.5,
-2,
-2.5,
-2.5,
-2.5,
-2.5,
1,
1,
-2.5,
-2.5,
0.5,
-2.5,
1,
-2.5,
-2.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1.5,
1,
-2,
0.5
] | 0.603044 | [
-0.6599147528265946,
-0.6789291006186039,
-0.2903953061471803,
-0.10323439881670754,
-1.1529133101981341,
-0.4727966313602859,
-1.032663962224838
] | {
"n_parameters": 7,
"n_qubits": 10,
"optimal_eigenvalue": -30,
"target_ratio": 0.97,
"target_value": -29.099999999999998
} | 189 |
7d24aa80c4b1d40dd561c6b6bccbf7db | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}, {"source": 3, "ta... | {"states": [34, 38], "expectation_value": -3.55981818649225, "params": [[[0.0017000000000000001, 0.5882000000000001], [0.8069000000000001, -0.0037], [0.0027, 0.5002], [0.0024000000000000002, 0.5801000000000001], [0.8019000000000001, -0.0027], [0.8063, -0.0021000000000000003], [0.0017000000000000001, 0.5933]], [[0.00170... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) + -0.2... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-1.1987153640005066) q[0];
ry(0.14240695872555387) q[0];
rz(2.0529066988131115) q[0];
rz(1.6595064324993265) q[1];
ry(2.8481604701391796) q[1];
rz(-1.2886904931873204) q[1];
rz(2.221705228086476) q[2];
ry(0.12435300188119536) q[2];
rz(-0.8405295378570301) q[2];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IZZZIII",
"IIIIZZI",
"IIZIIZI",
"IIZIZII",
"IIZIZZI",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
-1,
-0.25,
-0.75,
-0.75,
0,
-0.25,
-1
] | 0.9731 | [
-0.07641397221533423,
0.7421845540039637,
1.5542554679933072,
0.026633741908021466,
0.05779252632127724,
1.0693930050686116,
0.01458424784568432,
0.5380130300441588,
1.3784349584216724,
-0.35709016823075057,
1.697661839266965,
-0.16984425759917726,
0.4836756330073117,
0.11002940922382481,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 11 |
1933e8b73d4f27169594b5a37f23f4e2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1526, 1398], "expectation_value": -1.4883637478878256, "params": [1.9732, 0.0077, 0.9816, 0.0079, 2.2119, 0.0011, 1.5425, 0.0067, 2.1949, 0.004, 2.2018, 0.001, 1.8065, 0.0011, 0.0024000000000000002, 0.0089, 2.1984, 0.0049, 2.1188000000000002, 0.0081, 0.9863000000000001, 0.0082, 0.0071, 0.0085, 0.003, 0.0027... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.625, "smallest_bitstrings": ["10000101001", "10010001001", "01000101010", "01000011010", "0101000101... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.8785617532809386) q[0];
rz(1.5021759791746723) q[0];
rx(0.18750221656773378) q[1];
rz(1.610386357447335) q[1];
rx(0.6526873554626819) q[2];
rz(1.5639732718255024) q[2];
rx(-0.012452119729280793) q[3];
rz(1.6670235805521898) q[3];
rx(0.18135410988127476) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZZIII",
"IIIIZIZZIII",
"IIIIZZIZIII",
"IIIIZZZIIII",
"IIIIZZZZIII",
"IIIIIIIZIIZ",
"IIZIIIIIIIZ",
"IZIIIIIIIIZ",
"IIZIIIIZI... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.98096 | [
0.8785617532809387,
-0.06862034762022431,
0.18750221656773375,
0.03959003065243816,
0.6526873554626819,
-0.006823054969394506,
-0.012452119729280793,
0.09622725375729248,
0.18135410988127476,
-0.46988664665471536,
-0.0942321217772507,
0.12610127432036736,
0.7918857798860538,
-0.11918754873... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 10 |
532d7b9840f324faf47e567c6a0fdd6f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -18.923696628338167, "params": [0.0005, 0.3593, 0.0059, 0.4696, -0.0011, 0.2081, -0.0119, 0.3311, 0.0135, 0.3733, -0.0055000000000000005, 0.48700000000000004, 0.0005, 0.3765, 0.011000000000000001, 0.5152, -0.0039000000000000003, 0.6336, -0.0019, 0.5655, 0.4328, 0.0206, 0.41500000... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 4 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.5707977335680394) q[0];
ry(-0.013502097976412934) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5707977335680394) q[2];
rz(-pi) q[3];
ry(-4.219105240513308e-06) q[3];
ry(-1.4827129329316227e-05) q[4];
rz(-pi) q[4];
h q[5];
ry(0.7853975177179691) q[5];
h q[6];
h 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... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIIIIZZI",
"IZZIIIII",
"ZZIIIIII",
"ZIZIIIII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"IZIIIIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-2.5,
1,
-3,
-3,
1.5,
-3,
0.5,
0.5,
-2,
-2.5,
-1.5,
0.5,
-1.5,
-1.5,
-2,
1.5,
-2.5,
1,
0.5,
0.5,
0.5
] | 0.9625 | [
-1.5707977335680394,
-1.5707941200048936,
-1.5707799134645657,
-0.00001285179048671854,
0.0000018395551598433803,
1.5707950354359381,
2.4725657086000994,
1.2309349690645535,
-0.0000031724020034693597,
0.38504468633579836,
-0.3850548391687979,
0.000003773593329815815,
-0.5169980183123583,
-... | {
"n_parameters": 30,
"n_qubits": 8,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -13.881832024549562, "params": [[-0.16290000000000002, -0.1274], [0.169, 0.16140000000000002]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 20, "probabilities": [0.0010230566363833668, 0.0010230842466120277], "optimization_time": 25... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 2 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"], "largest_eigenvalue": 68.00000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(1.0652804248318555) q[0];
rz(-0.4790339043757319) q[0];
rx(0.9745577300577288) q[1];
rz(0.29346053770470665) q[1];
rx(0.0157130110860835) q[2];
rz(0.618448567596635) q[2];
rx(1.0308831125161482) q[3];
rz(0.23627299479722735) q[3];
rx(1.1756644845217723) q[4];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIZI",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIIZ",
"IIIIIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
0.5,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.5,
... | 0.970132 | [
1.0652804248318557,
-0.3214709232980808,
0.9745577300577288,
0.29346053770470665,
0.0157130110860835,
0.618448567596635,
1.0308831125161482,
0.23627299479722735,
1.1756644845217723,
0.3067858491711559,
1.00009586838585,
-0.016079870551915385,
1.0041750502695932,
-0.3884080547291887,
0.19... | {
"n_parameters": 137,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999897,
"target_ratio": 0.97,
"target_value": -19.3999999999999
} | 19 |
1c2304a67a30db02b0aacaef8f54cc49 | 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": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [122, 118], "expectation_value": -39.07847706733162, "params": null, "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 100, "probabilities": [0.13642672542812723, 0.17023039196499282], "optimization_time": 194.45790648460388} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 178.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24986965852497725) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.24986965852497725) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.24986965852497725) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.24986965852497725) q[3];
cx q[1], ... | 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(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
18,
7.5,
18,
22,
9,
15.5,
12,
12.5
] | 0.975247 | [
-0.24986965852497725,
1.3798768189646131,
0.5821516926402323,
1.507434803907877,
0.15831176221933974,
1.6841090119447395,
1.868921696942766,
-0.8358733501937907,
-0.1051427607175125,
0.20699330037022715,
0.7086183832847479,
-1.714949108239384,
-0.20111868516637169,
-0.47681140686524326,
... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -72.5,
"target_ratio": 0.97,
"target_value": -70.325
} | 81 |
13897d244e0881b4447dd2a9a298bf14 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [37, 27], "expectation_value": -0.4967751506891742, "params": [[0.056100000000000004, 0.045000000000000005, 0.0405, 0.027600000000000003], [-0.0601, -0.045200000000000004, -0.0368, -0.0258]], "bitstrings": ["1011010", "1100100"], "total_optimization_steps": 10, "probabilities": [0.011642223754178407, 0.01222... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.030727019186459183) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.030727019186459183) q[1];
cx q[2], q[1];
rz(-1.5882059243987203) q[2];
rx(1.5243136193984859) q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(0.030727019186459183) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IZZIIII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
0,
-1,
-0.5,
-0.5
] | 0.98132 | [
0.030727019186459183,
-1.5882059243987205,
1.700638967703943,
-1.2603176422809077,
1.524313619398486
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 27 |
a4daa78eacadb4897b1342c199df0ce1 | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [30, 28], "expectation_value": -3.1330201874935812, "params": [[[-0.0012000000000000001, 0.4721], [-0.0057, 0.6016], [0.7133, -0.0031000000000000003], [0.7273000000000001, -0.0034000000000000002], [0.4867, 0.0855], [0.3766, -0.2068], [-0.0033, 0.5245000000000001]], [[-0.0045000000000000005, 0.5772], [-0.0008... | 0.5 * (Z(2) @ Z(0)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100110", "1101001", "1100101", "1100011", "1110001"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.0504122744155853) q[0];
rz(2.314852764410956) q[0];
rx(-0.011423650263074667) q[1];
rz(2.3180126298646684) q[1];
rx(0.9127929599360881) q[2];
rz(1.576066005134642) q[2];
rx(1.2595759082637357) q[3];
rz(1.0869255396552848) q[3];
rx(1.5704424721284738) q[4];
rz(1.785... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIZIZII",
"IZIIZII",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZZII",
"IZIZZII",
"IZZIZII",
"IZZZIII",
"IZZZZII",
"IIIZIZI",
"ZIZIIII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
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,
0.5,
-1,
-1,
-0.125,
-0.125,
-0.125,
-0.125,
-0.5
] | 0.970219 | [
0.05041227441558531,
0.744056437616059,
-0.011423650263074667,
0.747216303069772,
0.9127929599360882,
0.005269678339745593,
1.2595759082637359,
-0.4838707871396123,
1.570442472128474,
0.2150835953800506,
0.15106313476968702,
0.11618529990197637,
-0.08431961784168296,
-0.45410965028763484,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 19 |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"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": 3}, ... | {"states": [5, 7], "expectation_value": -5.922577493450172, "params": [[[0.2661, 0.23670000000000002], [0.2523, -0.2318], [0.29460000000000003, -0.2127], [0.2924, 0.2149], [0.6437, -0.001], [0.6057, -0.0019], [0.6404000000000001, -0.0012000000000000001]], [[0.26330000000000003, 0.2369], [0.25370000000000004, -0.2318], ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027051847789835787) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.027051847789835787) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.027051847789835787) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.027051847789835787) q[3];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
-3.5,
-3.5,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.976706 | [
0.027051847789835787,
-0.03206344691167204,
1.6851099918626093,
1.7238436867176876,
-1.4190839315479138,
-1.6226342532152522,
1.4767707881526164
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 75 |
-3614464490941379586 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 2, 4, 5], [2, 3, 5, 6, 7], [4, 6, 7], [0, 7], [1, 3]]} | {"states": [71, 103], "expectation_value": -0.790661632241955, "params": [[0.3378], [-0.326]], "bitstrings": ["10111000", "10011000"], "total_optimization_steps": 40, "probabilities": [0.013486347581968504, 0.013775484736972252], "optimization_time": 1.7649850845336914} | 0.5 * (Z(0) @ Z(6)) + 0.05 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.05 * (Z(2) @ Z(6)) + 0.13333333333333333 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.783333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7, "smallest_bitstrings": ["10011000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-1.9463941534633028e-08) q[0];
cx q[6], q[0];
cx q[6], q[5];
rz(-3.4264149896898987e-09) q[5];
cx q[6], q[5];
cx q[0], q[5];
rz(-1.9463941534633028e-08) q[5];
cx q[0], q[5];
cx q[5], q[1];
rz(-2.0... | 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] 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": []} | [
"IZIIIIIZ",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIIZI",
"IZIIIZII",
"IIZIIZII",
"IIIIIZZI",
"IZIZIIII",
"IIZZIIII",
"IIIZIIZI",
"IIIZIZII",
"IZIIZIII",
"IIZIZIII",
"IIIIZIZI",
"IIIIZZII",
"ZZIIIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZIIIZIII",
"IZIIIIII",
"IIIIIII... | [
0.5,
0.05,
0.5,
0.08333333333333333,
0.05,
0.13333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.5,
0.05,
0.21666666666666667,
0.5,
0.05,
0.05,
0.16666666666666666,
0.05,
0.266666666666666... | 0.898204 | [
-1.9463941534633028e-8,
-3.4264149896898987e-9,
-2.0284211344950293e-8,
1.656526928858723e-7,
2.3096290363144514e-7,
-2.2756784918524633e-8,
1.5707963826025133,
-1.5707963251033068,
1.5707963169074814,
-1.5707964651479405,
4.712389086416099,
1.5707962858175286,
-1.5707963085601848
] | {
"n_parameters": 13,
"n_qubits": 8,
"optimal_eigenvalue": -2.783333333333333,
"target_ratio": 0.97,
"target_value": -2.6998333333333333
} | 360 |
71e10f6a07412051601a17c1aaab540b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [124, 127], "expectation_value": -9.644451342338048, "params": null, "bitstrings": ["110000011", "110000000"], "total_optimization_steps": 87, "probabilities": [0.14054948102121503, 0.4201051956107943], "optimization_time": 98.88493275642395} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 5 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11539307161681123) q[0];
rz(2.5062727491177625) q[0];
rx(-0.2874388969975214) q[1];
rz(2.308454114164366) q[1];
rx(-0.3895783997304033) q[2];
rz(2.2561470989799624) q[2];
rx(0.7810191516175832) q[3];
rz(0.8349189773722605) q[3];
rx(0.3333061869049751) q[4];
rz(2.13... | null | {"node": 2} | {"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(1.5681) q[6], 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... | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZZIIIII",
"IIZIZIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII"
] | [
-1.5,
-1,
-1.5,
-1.5,
0.5,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.966399 | [
0.11539307161681124,
0.9354764223228655,
-0.28743889699752134,
0.7376577873694696,
-0.38957839973040326,
0.6853507721850662,
0.7810191516175833,
-0.7358773494226359,
0.3333061869049751,
0.5615073201363684,
1.3622728811037845,
0.10349052483294895,
0.40126583881121597,
-0.14272101481556024,
... | {
"n_parameters": 179,
"n_qubits": 9,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
833c89e8aca800e5707fb47ea63f9088 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2709, 1386], "expectation_value": -0.01159356447505321, "params": [[0.06570000000000001], [-0.0594]], "bitstrings": ["010101101010", "101010010101"], "total_optimization_steps": 10, "probabilities": [0.00025584239486879645, 0.0002558423948687965], "optimization_time": 5.629540681838989} | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.0017499999999999998 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.0017499999999999998 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5205000000000006, -1.5205000000000006], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5095000000000005, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5195000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017499999999999998,
-0.0017499999999999998,
0.25,
0.00025000000000000006,
-0.0017499999999999998,
0.00025000000000000006,
-0.0017499999999999998,
0.25,
0.00075,
-0.00024999999999999995,
0.00075,
0.00075,
-0.00024999999999999995,
0.00075,
0.25,
0.00025000000000000006,
0.00... | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
e9c462a1bd32b66e47c042d7665c8b8c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [19, 73], "expectation_value": -0.5301007710345683, "params": [[-0.0648, -0.0625], [0.0675, 0.061900000000000004]], "bitstrings": ["1101100", "0110110"], "total_optimization_steps": 10, "probabilities": [0.010860091186140395, 0.010929046319300185], "optimization_time": 3.1507890224456787} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(3) + -1.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1001101", "0110110"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3237246402573668) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.3237246402573668) q[2];
cx q[0], q[2];
h q[3];
cx q[2], q[3];
rz(-0.3237246402573668) q[3];
cx q[2], q[3];
h q[4];
cx q[2], q[4];
rz(-0.3237246402573668) q[4];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
-0.5,
-1,
-1.5
] | 0.758794 | [
-0.3237246402573668,
0.3064564205300012,
0.4767277367358957,
1.0302840191842209,
1.0004734609527248,
-0.8962179999409403,
0.4671267464310068,
1.0855195917621498,
1.735602026922614,
0.4821524963075305
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 270 |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 31.72909641265869} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(1.9669260845713552) q[0];
ry(0.1024795632901214) q[0];
rz(-1.7618896224722536) q[0];
rz(1.3195676915300085) q[1];
ry(2.675781808525202) q[1];
rz(-2.101131985716676) q[1];
rz(0.659445598074063) q[2];
ry(2.9276292745841843) q[2];
rz(-2.5769113250260087) q[2];
rz(-1.592... | 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(-1.3016) q[2], 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",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIZI",
"ZIIZII",
"IZZIII",
"ZIZIII",
"ZZIIII",
"ZZZIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25,
-0.25
] | 0.973844 | [
-0.03861409541289346,
0.30559213356773784,
0.7326018024600061,
-0.06435106480608022,
0.9547122432617727,
-0.15670419204282596,
1.266054401368888,
0.002295537787968205,
-0.1307986670653961,
0.03183210554700622,
0.016147551089138828,
-0.018645541425944934,
1.0077607251862293,
1.0367697074034... | {
"n_parameters": 27,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 9 |
b7eaf66301f9b7c8d4f947444be4cce6 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [1779, 1791], "expectation_value": -7.9996494743438555, "params": null, "bitstrings": ["00100001100", "00100000000"], "total_optimization_steps": 100, "probabilities": [0.07910048219878302, 0.2372423641888326], "optimization_time": 194.27559757232666} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + -0.5 * Z(2) | 1 | 11 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(1.578546460595844) q[0];
rz(1.5649484018205557) q[0];
rx(1.1542170140655326) q[1];
rz(1.581686139949353) q[1];
rx(2.1475358534579922) q[2];
rz(1.6795510659400366) q[2];
rx(-3.0641522994748227) q[3];
rz(1.5784891660204154) q[3];
rx(0.3578417314936647) q[4];
rz(2.1032... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5486) q[9], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc... | [
"IIIIIIIIIZZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIZIIII",
"IIIIIIIZIII",
"IIIIZIIIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"ZIIIIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZII"
] | [
-1,
-1,
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970109 | [
1.5785464605958441,
-0.005847924974340831,
1.1542170140655326,
0.010889813154456019,
2.1475358534579927,
0.10875473914514013,
3.219033007704764,
0.007692839225518923,
0.35784173149366477,
0.532490951004535,
-3.076591709036881,
0.44428642196002094,
0.04260169475956817,
0.8997983020971242,
... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 291 |
e9af1a9f112f5a53fb57fbd0d9beb1bf | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -0.40137069935245506, "params": [[-0.078], [0.07830000000000001]], "bitstrings": ["000000", "000001"], "total_optimization_steps": 10, "probabilities": [0.02063475150711548, 0.02114233833057013], "optimization_time": 1.080653429031372} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000001"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(0.05694439345088629) q[0];
ry(0.07964889352568336) q[1];
ry(-0.011315584505599684) q[2];
ry(0.12547947242218094) q[3];
ry(-2.261873266415947) q[4];
ry(-0.05231947757244105) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
-1.5,
-1.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970689 | [
0.05694439345088629,
0.07964889352568336,
-0.011315584505599684,
0.12547947242218094,
-2.261873266415947,
-0.05231947757244105,
3.0493721289513904,
0.019216606340822288,
-0.08003579411712652,
0.02644848824165674,
0.06864849289218175
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 13 |
fb354d60453679d679afcbc2ef259e36 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 5... | {"states": [246, 118], "expectation_value": -13.299660892050884, "params": [[0.0429, 0.0119], [-0.053200000000000004, -0.0402]], "bitstrings": ["00001001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008980243281017947, 0.010192103327297372], "optimization_time": 4.1084372997283936} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.771457845796399) q[0];
rz(0.20583293908457456) q[0];
rx(0.9226641717609871) q[1];
rz(0.16372671104574926) q[1];
cx q[1], q[0];
rz(-0.04382293817596074) q[0];
cx q[1], q[0];
rx(0.7533216915569005) q[0];
rz(0.05206125349230284) q[0];
rz(0.06315738960408568) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIZII",
"IIIZZIII",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
16,
7,
16.5,
20.5,
13,
10.5,
13.5,
1
] | 0.97422 | [
0.7714578457963991,
0.16201000090861373,
0.9226641717609871,
0.16372671104574926,
1.1584520372173939,
-0.006876482614402969,
0.0444164020346387,
0.25393271130854,
-0.047803904028318286,
-0.03324698493440209,
-0.03689418107124742,
0.10406937110530717,
0.643156446848987,
0.15964110472260815,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 13 |
ebb45b3c08de8547137b1f8188eda7e0 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [195, 995], "expectation_value": -15.772315374063933, "params": null, "bitstrings": ["1100111100", "0000011100"], "total_optimization_steps": 100, "probabilities": [0.10942044457445269, 0.47709736314229806], "optimization_time": 243.4365406036377} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["0000011100"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.6450157647975503) q[0];
h q[1];
ry(0.6450157647975503) q[1];
h q[2];
ry(0.6450157647975503) q[2];
h q[3];
cx q[3], q[2];
ry(-0.6450157647975503) q[2];
cx q[3], q[2];
ry(0.0038327088200167773) q[2];
ry(2.7584347596896412) q[3];
h q[4];
cx q[4], q[0];
ry(-0.... | null | {"node": 6} | {"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[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] = measu... | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZZIII",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIZIZIIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIZIIIIII"... | [
-2,
0.5,
-2.5,
-2,
-2.5,
1,
0.5,
1,
-2,
-2.5,
-1.5,
0.5,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5
] | 0.954193 | [
1.2900315295951006,
1.457144504274122,
1.3963180107358255,
-1.5721336921944447,
2.7584347596896412,
0.0038327088200167773,
-1.846338540295364,
-1.310598474834452,
1.469940166197323,
0.02391513426549464,
0.0030068281679985764,
0.005103581890062456,
-0.0033880967662027516,
-1.513471730536457... | {
"n_parameters": 45,
"n_qubits": 10,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 500 |
b2987b745cb916df3f5a63553d1bb231 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [472, 984], "expectation_value": -8.443417269271935, "params": null, "bitstrings": ["11000100111", "10000100111"], "total_optimization_steps": 93, "probabilities": [0.1901059049618924, 0.5178144530445998], "optimization_time": 213.86995697021484} | 1.0 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2... | 1 | 11 | 4 | {"smallest_eigenvalues": [-8.666666666666668, -8.666666666666668, -8.666666666666668, -8.666666666666668], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["01000100111", "01000101011", "10000101011", "10000100111"], "largest_eigenvalue": 22.333333333333332} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
ry(-0.42489732038415) q[0];
h q[1];
cx q[1], q[0];
ry(0.42489732038415) q[0];
cx q[1], q[0];
ry(-0.181574895014258) q[0];
ry(0.22365458351727543) q[1];
h q[2];
h q[3];
ry(1.5129755350558685) q[3];
h q[4];
ry(1.5129755350558685) q[4];
h q[5];
ry(-0.6828907176516... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... | [
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIIIIZIZIII",
"IIIIIZIIIIZ",
"IIIIIZIIIZI",
"IIIIIIIIIZZ",
"ZIIIZIIIIII",
"IIIZZIIIIII",
"ZIIZIIIIIII",
"IIZIZIIIIII",
"ZIZIIIIIIII",
"IIZZIIIIIII",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIZIIZII",
"IZIIIIZIIII",
"IZIIIIIZIII",
"IZIIIZIIIII",
"IZIIZIIII... | [
1,
0.5,
0.5,
-0.5,
-0.5,
0.33333333333333337,
-1,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
2.5,
2.5,
1,
0.16666666666666674,
0.16666666666666674,
1.5,
-1.5,
1,
1,
1.3333333333333335,
-1
] | 0.975182 | [
1.5129755350558685,
1.2940641662349193,
-1.4434681259045128,
-1.365781435303222,
-1.0381781223982296,
-0.9460806634509542,
-1.3563210276497097,
0.4232448186560208,
-0.8497946407683,
0.6077418778647552,
-0.5785294489967114,
0.7760594618815354,
-0.017943551017564507,
-0.363149790028516,
-0... | {
"n_parameters": 52,
"n_qubits": 11,
"optimal_eigenvalue": -8.666666666666668,
"target_ratio": 0.97,
"target_value": -8.406666666666668
} | 1 |
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