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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [84, 92], "expectation_value": -2.5803719665992397, "params": [[[0.3744, -0.0012000000000000001, 0.008700000000000001, 0.0012000000000000001], [0.34550000000000003, -0.0038, 0.3431, 0.0006000000000000001], [0.003, -0.1764, 0.0097, -0.17850000000000002], [0.6907, -0.0009000000000000001, 0.6939000000000001, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.25 * Z(... | 12 | 8 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100011", "10011010", "01110100", "01100101", "01100011", "11010100", "01011010", "01011100", "10010110", "10010011"], "largest_eigenvalue"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.04487692059288387) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[0], q[3];
rz(0.04487692059288387) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.04487692059288387) q[2];
cx q[0], q[2];
rz(-1.407887416700282) q[0];
rx(-1.579746504261589) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIIZIZIZ",
"IZZIIIII",
"IIZZIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZIZZIIII",
"ZIIIZIII",
"IZIIIIZI",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.5,
-0.25,
-0.5,
-0.25,
-0.5,
0,
-0.25,
-0.5,
-0.25
] | 0.980299 | [
0.04487692059288387,
1.674742329328149,
-1.4078874167002817,
1.524449490178519,
1.4439077735402985,
1.3531238677988078,
-1.3904882206449123,
1.365368687689991,
-1.5824772102595346,
-1.579746504261589,
0.6397278070183063,
0.013864599543888398,
-1.8275840771615182,
1.1558042727426383,
0.12... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -56,
"target_ratio": 0.97,
"target_value": -54.32
} | 48 |
da378e6f5e35a754661216f75e79c65f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [965, 709], "expectation_value": -48.96735052317556, "params": [-0.0021000000000000003, 0.006900000000000001, 2.3087, 0.0077, 1.4856, 0.0055000000000000005, 2.302, 0.0074, 2.3086, 0.0028, 1.4674, 0.0066, -0.0016, 0.0077, 1.4702000000000002, 0.0004, 2.2984, 0.0076, 0.1292, 0.005200000000000001, 2.302100000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(6) @ Z(10)) + 8.5 * Z(1) + -3.0 * Z(0) + 4.5 * Z(2) + 5.5 * Z(3) + 4.0 * Z(5) + 12.5 * Z(4) + 4.0 * Z(7) + 14.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["10100111010"], "largest_eigenvalue": 122.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.049096672316566094) q[0];
rz(0.0084441589688522) q[0];
rx(3.2881779046291175) q[1];
rz(-0.22304097075528667) q[1];
rx(0.3089523117893789) q[2];
rz(0.287135122595818) q[2];
rx(3.058248228498202) q[3];
rz(-0.18595762069105792) q[3];
rx(3.4765532165748336) q[4];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIZIIII",
"IIZIIIZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIIIII",
"IZIIIIIII... | [
7,
7,
7,
7,
7,
7,
7,
7,
7,
7,
8.5,
-3,
4.5,
5.5,
4,
12.5,
4,
14.5,
-2.5,
-0.5,
-4
] | 0.972436 | [
0.0490966723165661,
0.08448934550946043,
3.2881779046291175,
-0.22304097075528667,
0.3089523117893789,
0.287135122595818,
3.058248228498202,
-0.18595762069105792,
3.4765532165748336,
0.02189068132935587,
0.30117505036781933,
-0.1298533247414148,
-0.1526654337362537,
0.05549412947202338,
... | {
"n_parameters": 32,
"n_qubits": 11,
"optimal_eigenvalue": -93.5,
"target_ratio": 0.97,
"target_value": -90.695
} | 18 |
529588a3593a2411158637ac5a1628e8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [22, 150], "expectation_value": -5.037503105437972, "params": [0.6002000000000001, -0.0016, 0.012100000000000001, 0.3062, 0.19310000000000002, -0.1758, 0.6022000000000001, 0.0027, 0.2023, 0.2508, 0.6016, 0.0028, 0.6079, -0.0005, -0.0026000000000000003, 0.18660000000000002, 0.605, -0.0013000000000000002, 0.01... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 *... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01101001"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.7480636934917765) q[0];
rz(1.5266408496729271) q[0];
rx(0.003931753744307986) q[1];
rz(1.8272216788064775) q[1];
rx(-0.015924999911767098) q[2];
rz(1.4403360300487655) q[2];
rx(0.938961894799714) q[3];
rz(1.6625546536366942) q[3];
rx(0.057859417943772605) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"ZIIZIIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"ZIZIIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII"
] | [
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,
-0.5,
-2,
-2,
-1,
-0.5,
-1,
-1
] | 0.970042 | [
0.7480636934917765,
-0.04415547712196927,
0.003931753744307986,
0.2564253520115811,
-0.015924999911767098,
-0.13046029674613074,
0.9389618947997139,
0.09175832684179794,
0.0578594179437726,
0.2724577982163299,
1.0550471707112403,
0.1981135940924096,
1.0108747950225323,
0.11788757664423292,... | {
"n_parameters": 66,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 28], "expectation_value": -0.03861562624681389, "params": [[-0.0405], [0.0507]], "bitstrings": ["11001", "00011"], "total_optimization_steps": 10, "probabilities": [0.032149572132407246, 0.03241001985451911], "optimization_time": 1.0935041904449463} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4];
cx q[3... | null | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-0.5,
-1,
0
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
cb23b1694a54570c0dc6ff3b8c0c90ef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [0, 255], "expectation_value": -7.454958711841978, "params": [0.1554, 0.38570000000000004, -0.0244, 0.0051, 0.2164, 2.4937, -0.062, 0.0094, -0.2817, 2.023, -0.8447, 0.0001, 0.4605, 2.6914000000000002, -0.7936000000000001, 0.0088, 1.0616, 2.2392000000000003, -0.5603, 0.0095, -1.032, 1.8704, -0.139, 0.0046, -1... | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(8) + -0.5 * Z(0) | 6 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(-pi) q[0];
ry(-0.4063234386272677) q[0];
h q[1];
ry(1.610978467634834) q[1];
h q[2];
cx q[2], q[1];
ry(-1.610978467634834) q[1];
cx q[2], q[1];
ry(1.6093159559155896) q[2];
cx q[1], q[2];
ry(-1.6093159559155896) q[2];
cx q[1], q[2];
h q[3];
h q[4];
ry(1.6109784676348... | 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1,
-1,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970535 | [
0.7659080522826166,
2.569384260925749,
0.4201156935188269,
2.4262929760440484,
0.4901510171385169,
3.221956935269668,
3.2186319118311792,
-1.2353245751939932,
0.6597871124405299,
-2.1380676118612456,
-0.00436145711029367,
0.2771083623078207,
1.0296163424441167,
0.5472836888911845,
0.1721... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 274 |
c29746f1f9b101fcb66cc7ae69070de4 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [94, 70], "expectation_value": -0.06651275311905167, "params": [[0.0066, 0.3714, 0.001, 0.005, 0.0058000000000000005, 0.0024000000000000002, 0.0017000000000000001, 0.0086], [0.0006000000000000001, -0.3753, -0.0008, 0.0046, 0.0098, 0.004200000000000001, 0.0086, 0.0012000000000000001]], "bitstrings": ["1010000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 9 | 8 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["11011001", "01001111", "10111001"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.11994650463788148) q[0];
rz(1.9227062995176585) q[0];
rx(0.36272038391407113) q[1];
rz(1.7658316120131419) q[1];
rx(0.7094087322043948) q[2];
rz(1.5403664460569892) q[2];
rx(0.05110865268134535) q[3];
rz(1.8676036188064291) q[3];
rx(-0.07223188702253676) 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] 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": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IIIZIZII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"ZIIIIIZI",
"ZZIIIIII",
"ZIIIIZII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-2,
-1,
-1.5,
-1,
-1.5,
-1.5
] | 0.971707 | [
-0.1199465046378815,
0.3519099727227622,
0.3627203839140711,
0.1950352852182451,
0.7094087322043948,
-0.03042988073790695,
0.051108652681345346,
0.2968072920115329,
-0.07223188702253677,
-0.05797908952563663,
0.4323875817109186,
-0.20442010744237607,
0.8520689333837869,
0.1097150260849551,... | {
"n_parameters": 88,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 8 |
e29bfda33a1d7f43206bf01d0ef0c119 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [888, 4088], "expectation_value": -17.700793151566366, "params": null, "bitstrings": ["110010000111", "000000000111"], "total_optimization_steps": 100, "probabilities": [0.10814126717627674, 0.4280799502060518], "optimization_time": 251.59293460845947} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["000000000111"], "largest_eigenvalue": 25.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.6760414157611511) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.6760414157611511) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.12342633440920707) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.6760414157611511) q[3];
cx q[1], q[... | null | {"node": 10} | {"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[4], 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... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIZIIZIIIII",
"IIIZIZIIIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IZZIIIIIIIII",
"ZZIIIIIII... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
0.5,
0.5,
0.5,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1
] | 0.550153 | [
-0.6760414157611511,
-0.12342633440920707,
-1.1321214278680807,
-0.7007872687284011,
-1.268838784335187,
-0.21287944484350652,
-0.9787581622068204
] | {
"n_parameters": 7,
"n_qubits": 12,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 192 |
87ba346715d7ffd469182fcb7e9830c2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -14.559634150648401, "params": [0.0071, 0.4857, 0.0029000000000000002, 0.7377, -0.6034, 0.0064, 0.0038, 0.6126, 0.0035, 0.745, 0.0046, 0.5315, 0.9984000000000001, 0.0035, 0.0043, -0.4222, 0.003, 0.7285, -0.6019, 0.0034000000000000002, 0.0008, 0.7315, 0.0022, 0.7459, 0.0019, 0.63... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 3 | 7 | 3 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"], "largest_eigenvalue": 18.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.2424713024680878) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.09609449461972433) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.07103718221836942) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.2424713024680878) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"ZIIIIIZ",
"ZIIIZII",
"IIIZIZI",
"IIZZIII",
"IZIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1,
-1.25,
-0.5,
-1,
-0.5,
2.25,
-1.75,
-2.5,
-1.75,
-1.5,
-2.75,
-0.25,
4,
1.75,
0.5,
-1.75,
-1.5
] | 0.970277 | [
-0.2424713024680878,
-0.09609449461972433,
-0.07103718221836942,
0.24484176276753844,
-0.5846079027452293,
-0.03545717743987341,
-0.13831910799219202,
-0.24427600165074528,
-0.4294993140104167,
0.03986173338969032,
-0.32853968363508496,
0.40842551468782123,
-0.9636115791438007,
0.066113856... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 83 |
2df93713dba52fbc8f2926f6b2fd57be | 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}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [24, 25], "expectation_value": -3.926449398946051, "params": [-0.0037, 0.47490000000000004, -0.0027, 0.5325, -0.0028, 0.5941000000000001, 0.8914000000000001, 0.0025, 0.8887, 0.0024000000000000002, -0.0029000000000000002, 0.6664, -0.0028, -0.6622, -0.8753000000000001, -0.0011, -0.0035, 0.0064, -0.0027, 0.0098... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2949175491820306) q[0];
ry(-0.5718315361379981) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.014198824758824193) q[2];
h q[3];
ry(0.8153655793536955) q[3];
h q[4];
ry(1.7358025262701822) q[4];
ry(-3.1020867817151703) q[5];
rz(-pi) q[5];
h q[6];
cx q[6], q[5];
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": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"ZIIIIIIZ",
"IIIIZZII",
"ZIIIZIII",
"ZIIZIIII",
"IIZZIIII",
"IZIIIZII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-0.5,
-0.25,
1,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
0,
1,
0.75,
0.25,
0
] | 0.978876 | [
-1.6615171206744725,
1.7358025262701822,
-0.5898350983640612,
1.4494700949935044,
1.630731158707391,
-0.961733679987851,
1.4386247151708065,
0.06190878182737325,
-0.37241896942618374,
0.1853314794989342,
0.12371533057551468,
-0.07230134059792101,
-0.818259384585675,
0.003388180207093014,
... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 12 |
-8957677311866646714 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 5], [2, 3], [1, 3], [4, 5], [0, 3], [3, 4], [4, 6], [2, 6], [0, 7], [1, 6], [0, 2], [0, 4], [0, 6], [3, 5], [5, 6], [1, 4]]} | {"states": [23, 27], "expectation_value": -3.234914076390321, "params": null, "bitstrings": ["11101000", "11100100"], "total_optimization_steps": 65, "probabilities": [0.07806936901609166, 0.7370627499066837], "optimization_time": 88.75183749198914} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011011", "11101000", "01101101", "11100100", "00101101", "11010010", "10010010", "00010111"], "largest_eigenvalue": 8.5} | 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];
cx q[5], q[1];
rz(0.4279238627116493) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(0.4279238627116493) q[0];
cx q[5], q[0];
cx q[0], q[2];
rz(0.4279238627116493) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(0.4279238627116493) q[3];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IIZIIIZI",
"IIZIIIIZ",
"IIIIIZIZ",
"IIZIZIII",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIZZIIII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IZZIIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.469929 | [
0.4279238627116493,
-1.842002499266645e-8,
-0.5848964288477461
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 85 |
4a01a984c253fac78cca60269d01efc1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 22], "expectation_value": -0.18153596661800656, "params": [[-0.0553], [0.06860000000000001]], "bitstrings": ["0011110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.00871283572033589, 0.008843317418998303], "optimization_time": 1.4736433029174805} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0011110", "0110110", "1101001"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.6793430139584373) q[0];
rz(-0.5475083314169016) q[0];
rx(0.09515557675715071) q[1];
rz(0.4627722943263448) q[1];
rx(1.739060974583087) q[2];
rz(0.6202117139471692) q[2];
rx(0.042183941876142855) q[3];
rz(0.392309081606653) q[3];
rx(-0.11805148560226901) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IZIIIZI",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"ZIZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-1.5,
-0.5,
-1,
-0.5
] | 0.982293 | [
1.6793430139584373,
-0.2659334535269083,
0.09515557675715071,
0.3302807664246088,
1.739060974583087,
0.3162368239205352,
0.042183941876142855,
0.5392977024642969,
-0.11805148560226902,
0.5788311737990788,
0.08362319787918186,
0.5828470670098009,
1.4443840052954673,
0.3194847730018116,
0.... | {
"n_parameters": 39,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 14 |
5668cc0f2ff388f621c56d0e233584d7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -30.50600316185193, "params": [-0.7615000000000001, 0.0035, 0.7614000000000001, 0.0063, 0.0019, 0.5918, 0.0019, 0.0055000000000000005, -0.037000000000000005, 0.2089, 0.0315, 0.0079, 0.8029000000000001, 0.0081, 0.8011, 0.009300000000000001, 0.0912, 0.2086, -0.056600000000000004,... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(9)) + 4.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -0.25 * (Z(7... | 6 | 12 | 1 | {"smallest_eigenvalues": [-36.0, -36.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["111011111111", "111011111101"], "largest_eigenvalue": 32.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.37387460677529877) q[0];
rz(1.5365469176479927) q[0];
rx(-0.012744811830432549) q[1];
rz(1.9287194335197793) q[1];
rx(-0.10944492514517133) q[2];
rz(1.8240680005474061) q[2];
rx(0.7749206249600734) q[3];
rz(1.5252621295720044) q[3];
rx(-0.21367281944568914) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIIIZ",
"IIIIIIZZIIII",
"IIIIIIZIIIIZ",
"IIZIIIIIIIIZ",
"IIZIIIZIIIII",
"ZIIIIIIZIIII",
"ZIIIIIIIIIIZ",
"ZIIIIIZIIIII",
"ZIZIIIIIIIII",
"IIIIIIIIZIIZ",
"ZIIIIIIIZIII",
"IIIIIIIZIIZI",
"IIZIIIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIZIIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIII... | [
-1.5,
-0.5,
-0.75,
-1.5,
-1,
-0.25,
-0.5,
-0.25,
-1,
4.5,
-0.25,
-1.5,
-1.25,
-0.25,
-0.25,
-1,
-1,
-2.25,
-1.5,
-2.25,
-1.25,
-0.5,
-0.5,
-0.75,
-1,
-0.5,
-1.25,
-1,
0.75,
-0.25,
-1,
3.25,
1.25,
3.75,
-3.75,
-1,
-1.25,
-0.25,
-2.5,
1
] | 0.972014 | [
-0.37387460677529877,
-0.03424940914690347,
-0.01274481183043255,
0.35792310672488264,
-0.10944492514517135,
0.25327167375251053,
0.7749206249600733,
-0.04553419722289189,
-0.21367281944568914,
0.24707651639495812,
0.03154758964530974,
0.5566532279650157,
0.027427723856014424,
0.4193738348... | {
"n_parameters": 103,
"n_qubits": 12,
"optimal_eigenvalue": -36,
"target_ratio": 0.97,
"target_value": -34.92
} | 20 |
-5534787900246124345 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 6], [1, 4, 5], [0, 3], [2, 6]]} | {"states": [99, 43], "expectation_value": -1.621404199564959, "params": null, "bitstrings": ["0011100", "1010100"], "total_optimization_steps": 42, "probabilities": [0.05652880647609067, 0.839025460361606], "optimization_time": 35.20804286003113} | 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.3333333333333333 * Z(4) + 0.3333333333333333 * Z(1) + 0.16666666666666663 * Z(6) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["1110000", "0011100", "0111000", "1010100"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-1.5480808438198137) q[0];
cx q[3], q[0];
rz(0.03714039219085841) q[0];
rx(0.7964956431126665) q[0];
rz(0.03714039219085841) q[3];
rx(0.7964956431126665) q[3];
h q[4];
cx q[4], q[1];
rz(-0.6436400004810838) q[1];
cx q[4]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZIIZI",
"ZIZIIII",
"ZIIIIZI",
"IZZIIII",
"IZIIIZI",
"IIIZIIZ",
"ZIIIZII",
"IIZIIII",
"IIIIIZI",
"ZIIIIII",
"IZIIIII",
"IIIZIII",
"IIIIIIZ",
"IIIIZII"
] | [
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.3333333333333333,
0.16666666666666663,
0.16666666666666666,
0,
0,
0
] | 0.815809 | [
-0.6436400004810838,
-0.19129919581922267,
-1.5480808438198137,
0.03714039219085835,
0.7964956431126664
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 151 |
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": [36, 18], "expectation_value": -1.2569637924900732, "params": [[-0.0618, -0.0548, -0.029300000000000003], [0.07730000000000001, 0.0745, 0.060500000000000005]], "bitstrings": ["011011", "101101"], "total_optimization_steps": 10, "probabilities": [0.02366805100007834, 0.026622000800143146], "optimization_time"... | 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 | 3 | {"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] 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",
"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 |
36fc1c5be2c91695283e8185a1ebb45b | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [21, 37], "expectation_value": -3.996397945306564, "params": null, "bitstrings": ["1101010", "1011010"], "total_optimization_steps": 31, "probabilities": [0.06635230077962434, 0.9303266047475932], "optimization_time": 26.00277304649353} | 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(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011101", "1100101", "1101010", "0110101", "1011010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.590672093523573) q[0];
rz(pi/2) q[0];
ry(0.48554281214560124) q[1];
ry(0.24698811501930573) q[2];
ry(0.013091478036814153) q[3];
ry(0.926188328539264) q[4];
ry(0.943892538476665) q[5];
ry(0.15494952665883352) q[6];
ry(0.03949562253087151) q[7];
ry(0.940475882142962... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZZIII",
"ZIIZIII",
"IIIZIZI",
"IZZIIII",
"ZZIIIII",
"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,
-0.5,
-1,
-1,
-1,
-0.5,
-1,
-0.5
] | 0.9741 | [
0.590672093523573,
0.48554281214560124,
0.24698811501930573,
0.013091478036814153,
0.926188328539264,
0.943892538476665,
0.15494952665883352,
0.03949562253087151,
0.9404758821429625,
0.8843617937735004,
-0.6819864428671916,
0.1079809927660766,
0.030404993430774394,
-0.17637413776864358,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 35 |
2398b0b8852b758caa629303970b584b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -0.45682602441269415, "params": [[-0.058300000000000005, -0.0292], [0.0717, 0.0516]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.01959961716747843, 0.020130862157600557], "optimization_time": 4.35149073600769} | 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(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | 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[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... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
-0.09537820387184358,
0.4618259931807873,
0.43542575300609276,
0.45015024645460006,
0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
a4887282391b847c36275b441eb6d545 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [6109, 6078], "expectation_value": -0.08106891760155607, "params": [[0.07540000000000001], [-0.0787]], "bitstrings": ["0100000100010", "0100001000001"], "total_optimization_steps": 10, "probabilities": [0.00014990611668358591, 0.000149906116683586], "optimization_time": 27.77910614013672} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.125, "smallest_bitstrings": ["0000110000010", "1000000001001", "0010000101000", "1000000000110", "0001010000001", "0100000100010", "0000101010000", ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-1.5947826491304309) q[0];
ry(-3.1353499367076596) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5947826491304309) q[2];
h q[3];
ry(1.4438293180331603) q[3];
ry(-0.08654683917800882) q[4];
rz(-pi) q[4];
cx q[3], q[4];
ry(0.08255773053450952) q[4];
cx q[3], q[4];
ry(-0.08... | 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[13] c;
qubit[13] 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];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIZIIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIZIIZI",
"IIIIIIIIIZZII",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIZIIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIZIZIZ",
"IIIIIIIIZZIIZ",
"IIIIIIIIIZZ... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.125,
0.125,
0.125,
0.125,
0.125,
... | 0.999195 | [
-1.5947826491304309,
-1.4016917570823781,
1.4438293180331603,
-0.16511546106901903,
0.2414485837592053,
0.10282247901678558
] | {
"n_parameters": 6,
"n_qubits": 6,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
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": [330, 458], "expectation_value": -4.018738270163196, "params": [[0.9971000000000001, -0.016800000000000002, 0.9931000000000001, 0.0009000000000000001, 0.010700000000000001, 0.7992, 0.19460000000000002, 0.8058000000000001, -0.0057], [0.9957, 0.5968, 0.993, -0.0005, -0.051300000000000005, 0.801, -0.1849, 0.782... | 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) | 10 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010110", "010110001", "100110100", "000110101", "000010111"], "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] 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": []} | [
"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 |
2216438936551548206 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 5, 6], [1, 7, 6, 9], [8, 0, 3, 5], [10, 6, 7], [2, 4], [10, 11]]} | {"states": [3391, 2367], "expectation_value": -1.5681617116883855, "params": [1.8962, -0.0029000000000000002, 1.2643, 0.3113, 0.6653, -0.0545, 1.9078000000000002, 0.0033, 0.5809000000000001, 0.8221, 0.7683, 0.8909, 1.8019, -0.0024000000000000002, 1.8822, -0.0035, 1.8951, -0.0034000000000000002, 1.9025, 0.0033, 1.905900... | 0.16666666666666666 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(11) @ Z(8)) + 0.08333333333333333 * (Z(11) @ Z(1)) + 0.08333333333333333 * (Z(11) ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["111010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.497605665420702) q[0];
rz(1.4857345472001864) q[0];
rx(0.21495628108667691) q[1];
rz(1.9769390066618318) q[1];
rx(0.67399847852664) q[2];
rz(1.6144348766750038) q[2];
rx(3.0628752613940087) q[3];
rz(1.5534016141266545) q[3];
rx(0.08881420238705653) q[4];
rz(2.5926... | 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": []} | [
"IIIIZIIZIIII",
"IIIZZIIIIIII",
"IIIZIIIZIIII",
"IIIZIIIIIIZI",
"IIZZIIIIIIII",
"IIZIIIIIIIZI",
"ZIIZIIIIIIII",
"ZIIIIIIIIIZI",
"ZIZIIIIIIIII",
"IZIIZIIIIIII",
"IIIIZIIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIZIZIIIII",
"IZIIIIZIIIII",
"IIIIIIZIIIIZ",
"IIIZIIIIIZII",
"IIZIIIIIIZII",
"IIIIIZIZI... | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.0833333... | 0.971191 | [
2.497605665420702,
-0.08506177959470945,
0.21495628108667691,
0.4061426798669347,
0.67399847852664,
0.04363854988010699,
3.0628752613940087,
-0.017394712668241625,
0.08881420238705653,
1.0218318635708816,
0.3284520924042883,
0.7904124577904236,
1.3415065411392555,
-0.017708085650548537,
... | {
"n_parameters": 34,
"n_qubits": 12,
"optimal_eigenvalue": -2.166666666666667,
"target_ratio": 0.97,
"target_value": -2.101666666666667
} | 24 |
1c9f0aa80e0354120d0d9a354ab113f1 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [255, 254], "expectation_value": -1.6510664459809437, "params": [[0.0461], [-0.0414]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.005597464494658975, 0.005640282192569223], "optimization_time": 2.315223455429077} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 1.5... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.03855666661110178) q[1];
h q[2];
ry(0.2677307257938226) q[2];
h q[3];
ry(0.25063243253677403) q[3];
h q[4];
h q[5];
cx q[5], q[2];
ry(-0.2677307257938226) q[2];
cx q[5], q[2];
cx q[2], q[3];
ry(-0.25063243253677403) q[3];
cx q[2], q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
-3,
-3,
0.5,
-3.5,
0.5,
-3,
-3.5,
0.5,
-3,
1.5,
-3.5,
0.5,
-3,
-2.5,
1.5,
1.5,
1.5,
-3,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971657 | [
0.5354614515876452,
0.5012648650735481,
-0.07711333322220355,
0.09512343386160421,
-0.17784540647028296,
1.9383875530744048,
-0.3900224980018612,
0.25716625659837133,
0.8700985159750708,
0.8250013057753991,
0.03997913392777849,
-0.14346728740037137,
1.5500043128553398,
-0.02787916009918097... | {
"n_parameters": 62,
"n_qubits": 8,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 124 |
460c923df83f30f22def2c9af8610a90 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [185, 441], "expectation_value": -1.4818369006834506, "params": [-0.0015, -0.0004, 0.4999, 0.5002, 0.5014000000000001, 0.49810000000000004, 0.2061, 0.1973, 0.5049, 0.5022, 0.4989, 0.5017, 0.5017, 0.4943, 0.2726, 0.27890000000000004, 0.29650000000000004, 0.2936, 0.505, 0.5056, -0.0047, -0.0033, 0.500500000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(7)) + -0.125 * (Z(... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100000101", "1100001100", "1001010010", "1001101000", "1001100010", "1001100001", "1010000110", "1101001000", "1100000110", "10010010... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.12233641357649425) q[0];
cx q[4], q[0];
rz(0.3765696952853905) q[0];
rx(-1.2769170506152017) q[0];
cx q[4], q[1];
rz(0.12233641357649425) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.12233641357649425) q[3];
cx q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIIZZII",
"IIIIIIZZZI",
"IIIIZZIIII",
"IIIZIZIIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IIIZZZIIII",
"IIZIZZIIII",
"IIZZIZIIII",
"IIZZZIIIII",
"IIZZZZIIII",
"IIIIIZIIZI",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIZIIZI",
"IIIIIIIZIZ"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.6... | 0.922154 | [
0.12233641357649425,
-1.2934414187902954,
0.37656969528539047,
-0.6503855682493497,
0.8038693115633776,
-1.2769170506152019,
0.9043538820045093,
-1.693141488697201,
-0.90289687204353,
-1.4194505451237325,
-0.5705143914878514,
0.4995326822605433,
-2.886443753675267,
-1.9763964731451829,
0... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 500 |
89c7521d0f4383e77e73ec35feb14209 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -26.857322767050032, "params": [[0.0316, 0.0018000000000000002, -0.0016, -0.0021000000000000003], [-0.083, -0.0743, -0.0694, -0.062200000000000005]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.020901507563102086, 0.023400699913... | 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 | 4 | {"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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"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 |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -5.404516850915025, "params": [[-0.0458], [0.0557]], "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005225815354262477, 0.005426970942956919], "optimization_time": 4.686155319213867} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 9 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(0.01916910831901575) q[0];
ry(0.040011321484877946) q[0];
rz(-0.3297910839494538) q[0];
rz(-0.6279459329093449) q[1];
ry(0.04144721688536006) q[1];
rz(1.3890117666592916) q[1];
rz(1.2678448526061201) q[2];
ry(0.3643402784305616) q[2];
rz(-2.253218816818194) q[2];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7,
-7,
-7,
-7.5,
-6.25,
-6.5,
-6.25
] | 0.973939 | [
-0.06665264922991992,
-0.536085762019275,
0.05219494770080912,
0.4134012993974177,
0.2394787235997971,
-0.7739367453951336,
0.4866368394148667,
-0.0401288681240079,
0.008567340947978966,
0.15545946273142092,
1.3726489496448595,
0.04126656472357189,
0.9034759098953484,
1.9977648676974686,
... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -24.75,
"target_ratio": 0.97,
"target_value": -24.0075
} | 17 |
e69550c833474bf45ede93c29793364e | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [187, 179], "expectation_value": -1.5167361818220653, "params": [-0.0028, 0.6581, 0.9077000000000001, 0.10450000000000001, 0.47090000000000004, 0.5739000000000001, 0.9047000000000001, 0.16740000000000002, 0.9033, 0.155, 0.6947, 0.157, 0.0012000000000000001, -0.0045000000000000005, 0.9045000000000001, 0.006, ... | 0.5 * (Z(1) @ 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)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(3) @ Z(6)) ... | 16 | 9 | 2 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001100"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.12756266301791686) q[0];
rz(0.4735655294126939) q[0];
rx(0.7057245043454681) q[1];
rz(0.01739646315227371) q[1];
cx q[1], q[0];
rz(-0.17079390449201795) q[0];
cx q[1], q[0];
rx(-0.09359776567047304) q[0];
rz(0.3946108485469644) q[0];
rz(0.16138507446855765) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIIZIII",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIZIZZ",
"IIZIIIIZZ",
"IZIIIIIZZ",
"IIZIIZIIZ",
"IZIIIZIIZ",
"IZZIIIIIZ",
"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,... | 0.977207 | [
-0.12756266301791686,
0.3027716249206759,
0.7057245043454681,
0.01739646315227371,
-0.02127030246383349,
0.4485978116077558,
0.7355465327503719,
0.1720628108444342,
0.5553067573265572,
0.11298983305762661,
0.04772227440995786,
-0.13462033402531828,
-0.05790695997609201,
0.37542508224080573... | {
"n_parameters": 98,
"n_qubits": 9,
"optimal_eigenvalue": -3.8125,
"target_ratio": 0.97,
"target_value": -3.698125
} | 14 |
6366756672736815379 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [4, 5], [0, 2], [0, 1, 7], [4, 6, 7], [0, 1, 3], [0, 3, 5], [1, 4, 7], [0, 6, 7], [0, 1, 4], [1, 2, 6], [5, 6]]} | {"states": [59, 155], "expectation_value": -0.1172388638437538, "params": [[-0.0599], [0.07350000000000001]], "bitstrings": ["11000100", "01100100"], "total_optimization_steps": 10, "probabilities": [0.004302600681712402, 0.004304079337956609], "optimization_time": 2.7174952030181885} | 0.5 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["01100100"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.8465918653475706) q[0];
rz(pi/2) q[0];
ry(0.9386239742592407) q[1];
ry(-0.09222270149402316) q[2];
ry(1.4430562526700181) q[3];
ry(1.9584587078884566) q[4];
ry(-0.6640261593772535) q[5];
ry(1.554504896069409) q[6];
ry(1.3614325855627973) q[7];
cx q[7], q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[4];
rz(x1) q[4];
cx q[... | null | {"circuits": [], "gradients": []} | [
"ZIZIIIII",
"ZIIZIIII",
"IIZZIIII",
"ZIIIIIIZ",
"IIZIIIIZ",
"IIIZIIIZ",
"IIIIIZIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIIIZZ",
"IIIIIZZI",
"ZZIIIIII",
"IZZIIIII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIZIII... | [
0.5,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666... | 0.97649 | [
1.8465918653475706,
0.9386239742592407,
-0.09222270149402316,
1.4430562526700181,
1.9584587078884566,
-0.6640261593772535,
1.554504896069409,
1.3614325855627973,
0.5683142126360068,
0.4118538061784346,
0.14851778394104154,
0.09605094149108612,
0.2989506778168713,
1.1681920034433648,
-0.3... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.6666666666666665,
"target_ratio": 0.97,
"target_value": -3.5566666666666666
} | 59 |
7d035ca1bf1f85a5b9e73dc65bf927bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [88, 112], "expectation_value": -0.20084963541174372, "params": [[-0.030100000000000002, -0.06330000000000001], [0.020900000000000002, 0.057300000000000004]], "bitstrings": ["0100111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.008873941041491981, 0.009048720078489787], "optimization_tim... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(3) + -1.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 2 | {"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": ["0011101", "0110101", "1110001", "1011100", "0100111", "0001111", "1110100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.8075440322763315) q[0];
rz(-0.17233184418281144) q[0];
rx(3.124138492170769) q[1];
rz(0.011419615743145012) q[1];
rx(3.124138492170769) q[2];
rz(-0.15260422056210507) q[2];
rx(3.124138492170769) q[3];
rz(-0.006212989049968726) q[3];
rx(3.124138492170769) q[4];
rz(-... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIIZIZI",
"IIZIZII",
"ZIIIZII",
"IZIIZII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"IIIIZII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1,
-0.5,
0,
-1,
0
] | 0.975181 | [
0.8075440322763316,
-0.15260422056210507,
3.124138492170769,
0.011419615743145012,
-0.006212989049968726,
-0.07324976718967273,
2.9640723805291644,
0.01532535124030912,
0.17816633416289118,
-0.24152388693238136,
0.030536062199610955,
-0.03945524724141247,
0.028897191296006146,
-0.008104990... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 6 |
a496643cb2e08d855373b91d187c0135 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -19.1394833526135, "params": [[-0.039400000000000004, -0.0178, 0.012100000000000001], [0.06810000000000001, 0.0723, 0.0606]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.017542105679751917, 0.020843903629265758], "optimization_tim... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.013073846050879977) q[1];
cx q[0], q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.013073846050879977) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.013073846050879977) q[3];
cx q[2], q[3];
rz(-1.577151906161621) q[2];
rx(-1.558957801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
3,
6,
1.5,
10,
10.5,
10.5,
8,
12
] | 0.980179 | [
-0.013073846050879977,
-1.2914686192920426,
1.5897659140495197,
-1.5771519061616204,
1.2839791499377913,
1.711496406988009,
-1.3676435003029348,
1.5144477928027038,
-1.5589578012410836
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 34 |
bd80949c6c091a053c83f537048f1163 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [356, 357], "expectation_value": -6.163053079552959, "params": [0.7032, 0.001, 0.7068, 0.0022, 0.2788, -0.0027, 0.0804, 0.0027, 0.7016, 0.0007, 0.7046, 0.0091, 0.7096, 0.0032, 0.7052, 0.0008, 0.7028, 0.0018000000000000002, 0.2823, 0.007500000000000001, 0.16140000000000002, 0.0058000000000000005, 0.0675, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["010011010"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.5222074330576694) q[0];
rz(1.5626617893697095) q[0];
rx(0.08803549170725553) q[1];
rz(1.694515308012746) q[1];
rx(2.3361754888352064) q[2];
rz(1.4443686990784066) q[2];
rx(0.91731256737413) q[3];
rz(1.4800687342918453) q[3];
rx(-0.13153911624511305) q[4];
rz(2.0243... | 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",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIIIZIZI",
"IIIZIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IZIIIIIZI",
"IZIZIIIII",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIZIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-0.5,
-2.5,
-1,
-1.5,
-2,
-1.5,
0,
0
] | 0.97055 | [
1.5222074330576691,
-0.008134537425186904,
0.08803549170725553,
0.12371898121784974,
2.3361754888352064,
-0.12642762771649033,
0.91731256737413,
-0.09072759250305149,
-0.13153911624511305,
0.45351193783772703,
0.08050706962476488,
0.6929346483520039,
2.1888221203670697,
-0.0700789039738411... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 115 |
-4010982360647028719 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [0, 5, 6], [2, 3], [1, 4, 5], [0, 1, 3], [2, 5], [3, 5, 6], [0, 4, 5], [0, 1, 5]]} | {"states": [43, 42], "expectation_value": -2.831870499265329, "params": null, "bitstrings": ["1010100", "1010101"], "total_optimization_steps": 22, "probabilities": [0.24965049803628875, 0.24965049803628875], "optimization_time": 22.48222327232361} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0010101", "1010101", "1010001", "1010100", "1010000"], "largest_eigenvalue": 7.499... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.3231175295311744) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.2717093142126168) q[0];
cx q[1], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.3231175295311744) q[5];
cx q[2], q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.3231175295... | 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(1.5592) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZZI",
"IIIIIZZ",
"IZIIZII",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIZZII",
"IIIZIZI",
"IIIZIIZ",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0,
0.5000000000000001,
0.6666666666... | 0.56131 | [
0.3231175295311744,
0.2717093142126168,
0.13597201472534137,
-1.3050647509661393,
0.9076424149114819,
1.337009269435719,
-1.00482297699309
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 185 |
f490a28ecdd83f85cb7689547a0eb0f1 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 52], "expectation_value": -2.9965155422382117, "params": null, "bitstrings": ["101010", "001011"], "total_optimization_steps": 20, "probabilities": [0.06700896507806574, 0.929746058313105], "optimization_time": 15.461707830429077} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["101100", "101010", "001011", "010011"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
ry(1.4559220094194139) q[1];
ry(-0.12411763596727048) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4736134322386227) q[3];
ry(-0.031683301563526195) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.5472362963496462) q[5];
cx q[0], q[5];
ry(0.5472362963496462) q[5];
cx q[0], q[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(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"ZIIIIZ",
"IZIZII",
"ZIIZII",
"IIIZZI",
"IZZIII",
"IZIIII",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
0
] | 0.991196 | [
-1.582323973277357,
-1.3643355409729596,
1.4736134322386227,
1.4559220094194139,
-1.0944725926992924,
0.7522403135211317,
-0.3532284044695118,
0.4812526455354951,
-0.22809332507390656,
0.3572804273733394,
-0.1631535345356533,
-0.16468629970933335,
0.1857552217475515,
0.08779101460740774,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
7230264774473700390 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 3, 6], [2, 4], [0, 1], [3, 5], [2, 7]]} | {"states": [224, 228], "expectation_value": -2.0770178864015256, "params": null, "bitstrings": ["100011111", "100011011"], "total_optimization_steps": 72, "probabilities": [0.21827503128710798, 0.2806953421173656], "optimization_time": 135.6844925880432} | 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["101001000", "100110010", "010011110", "011001000", "010110010", "010011011", "100011110", "100011011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08765597405180746) q[0];
h q[1];
cx q[1], q[0];
ry(0.08765597405180746) q[0];
cx q[1], q[0];
ry(-1.1054528410701345) q[0];
ry(1.0546718570227642) q[1];
h q[2];
h q[3];
h q[4];
ry(-0.08765597405180746) q[4];
cx q[2], q[4];
ry(0.08765597405180746) q[4];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... | [
"ZIIIIIZII",
"IIIIIZZII",
"ZIIIIZIII",
"IIZIIIZII",
"ZIZIIIIII",
"IIZIIZIII",
"IIIIZIZII",
"IIIIIIIZZ",
"IIIZIZIII",
"IZIIIIZII",
"IIIIIIZII",
"ZIIIIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.971772 | [
-0.17531194810361492,
1.5414589371360432,
-1.40304243378731,
-1.1710499675174955,
1.1147903117104019,
0.16486552620003497,
0.6909849266021699,
-0.8009317193157794,
0.38042805856592854,
-0.7274239011286459,
0.727373860841188,
-0.7560578798829771,
-0.718671547951127,
0.1706185248686247,
0.... | {
"n_parameters": 63,
"n_qubits": 9,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 38 |
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": -0.45568357843918283, "params": [[-0.030500000000000003, -0.0352, -0.0555, -0.06420000000000001], [0.0292, 0.0218, 0.0487, 0.0627]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.021842857173882672, 0.023312760033310287], "optimization_... | 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 | 4 | {"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] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | 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 |
6de3ca972134e3b2df718cabf76739a9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [695, 445], "expectation_value": -0.008053266245131807, "params": [[-0.0302], [0.0223]], "bitstrings": ["0101001000", "1001000010"], "total_optimization_steps": 10, "probabilities": [0.0009976273058479388, 0.000997627305847939], "optimization_time": 15.00274395942688} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"], "largest_eigenvalue": 5.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZIIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZZIIIZ",
"IIIZIZIIIZ",
"IIIZZIIIIZ",
"IIIZZZIIII",
"IIIZZZIIIZ",
"IIIIIZIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIZIIZIIII",
"IZIIIZIIII"... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,... | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
f65df388240a6bafb6d8e4e3b37bcf6e | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [88, 56], "expectation_value": -0.24138412121387975, "params": [[-0.0826], [0.0743]], "bitstrings": ["0100111", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008910469599249474, 0.008910469599249477], "optimization_time": 1.3451242446899414} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.7532081731376037) q[0];
rz(0.5021335439547281) q[0];
rx(0.3126188629060858) q[1];
rz(-0.12394458583901447) q[1];
rx(0.08258886198853632) q[2];
rz(-0.2893009783452398) q[2];
rx(2.8985650222769554) q[3];
rz(0.47722660210837153) q[3];
rx(-2.8865335383741417) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IZIIIZI",
"IZIIIIZ",
"IIZIZII",
"ZZIIIII",
"ZIZIIII",
"ZIIIZII",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"IIZIIII",
"IIIIZII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1.5,
-0.5,
-0.5,
-1.5,
-0.5
] | 0.974902 | [
2.7532081731376037,
0.4768043004801116,
0.31261886290608576,
-0.13830675618383226,
0.08258886198853632,
-0.4806829037066563,
2.8985650222769554,
0.5468943038080125,
3.3966517688054445,
0.42667847019125166,
0.07043632060439067,
-0.7888121402538777,
0.07867698366803132,
0.8529985987454796,
... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 16 |
e1ee122704659894b3696f576081a2cf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -31.95669181165389, "params": [[-0.0375, 0.0034000000000000002, -0.006900000000000001, 0.019200000000000002], [0.07060000000000001, 0.0541, 0.0666, 0.057300000000000004]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0112017793... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
rz(-pi) q[1];
ry(-1.518671701368228) q[1];
rz(-pi) q[2];
ry(-1.9184711946259563) q[2];
h q[3];
ry(-1.2690479153113619) q[3];
h q[4];
ry(-23.541155883975833) q[4];
ry(-2.629522226413252) q[5];
rz(-pi) q[5];
h q[6];
ry(-0.10390085226328306) q[6];
rz(-pi) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
3,
11,
8,
17,
13,
14.5,
-3,
11
] | 0.97302 | [
-23.541155883975833,
-22.201792305180028,
-10.44860589835898,
27.49141951167771,
-61.96137406619712,
3.080269444625393,
-25.864833907236953,
4.733351032142052,
-3.079267506251181,
-0.039701959139668175,
0.005758186826557363,
5.749940586601983,
-1.5587100755489378,
0.059962355157045386,
0... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -82.5,
"target_ratio": 0.97,
"target_value": -80.02499999999999
} | 94 |
cf9a1540b011355d554ff1ed574e9153 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -65.1339897159685, "params": [0.1545, 0.36760000000000004, 0.7774000000000001, 0.0014, 0.7881, -0.0004, 0.892, 0.1463, 0.234, 0.3519, 0.8602000000000001, 0.0049, 0.8646, -0.07100000000000001, 0.34900000000000003, -0.218, 0.1583, 0.35450000000000004, 0.7959, 0.0043, 0.7793, -0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 151.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.027904492225509954) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.027904492225509954) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.027904492225509954) q[2];
cx q[1], q[2];
rz(1.342829921786847) q[1];
rx(1.4533457... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
19.5,
5.5,
15.5,
10.5,
6.5,
16,
13,
9
] | 0.970395 | [
0.027904492225509954,
1.3428299217868471,
-1.3973477579863305,
1.1084896251587875,
-1.2207028245392655,
1.4533457571386144,
-0.40356853974988083,
1.2087457512520743,
0.5067522003052877,
0.6097643117392808,
0.41447285258051847
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 47 |
4881541922666169715 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 6, 7, 8], [0, 1, 2, 3, 4, 7], [5, 7], [0, 1, 3, 4, 6, 8, 9], [2, 3, 4, 5, 6, 8], [0, 1, 2, 5, 6, 8], [0, 1, 2, 4, 8], [1, 2, 3, 4, 6, 7, 9], [0, 1, 2, 3, 5, 9], [8, 9, 2, 4], [1, 2, 4, 6, 8], [8, 3, 7], [0, 2, 6, 7], [8, 1, 3, 5], [8, 1, 4, 7]]} | {"states": [506, 762], "expectation_value": -2.6732003961070707, "params": [[[0.7761, -0.459, 0.0014, 0.0008], [1.397, -0.4602, 0.6523, 0.0008], [1.3903, 0.0055000000000000005, 1.3978000000000002, 0.007], [0.5883, 0.5888, 0.18710000000000002, 0.0071], [1.3958000000000002, 0.0005, 1.4011, 0.0041], [0.5574, 0.6079, 0.178... | 0.27380952380952384 * (Z(1) @ Z(2)) + 0.2738095238095238 * (Z(6) @ Z(2)) + 0.18095238095238098 * (Z(6) @ Z(1)) + 0.19047619047619047 * (Z(7) @ Z(2)) + 0.19047619047619047 * (Z(7) @ Z(1)) + 0.15714285714285714 * (Z(7) @ Z(6)) + 0.3 * (Z(8) @ Z(2)) + 0.37380952380952376 * (Z(8) @ Z(1)) + 0.19047619047619047 * (Z(8) @ Z(6... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2071428571428564, "smallest_bitstrings": ["0100000101"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.3068479437247214) q[0];
rz(-0.08311432200801058) q[0];
ry(2.7503792189714362) q[1];
rz(-0.09746839839216327) q[1];
cx q[1], q[0];
ry(0.24888264792325204) q[1];
rz(0.15291977305209845) q[1];
ry(1.5903168281995748) q[2];
rz(0.08227654382566094) q[2];
ry(0.2564117044... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIZIIIZII",
"IIIZIIIIZI",
"IIZIIIIZII",
"IIZIIIIIZI",
"IIZZIIIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIIIIIZZII",
"IIIIIIZIZI",
"IIIZIIZIII",
"IIZIIIZIII",
"IZIIIIZIII"... | [
0.27380952380952384,
0.2738095238095238,
0.18095238095238098,
0.19047619047619047,
0.19047619047619047,
0.15714285714285714,
0.3,
0.37380952380952376,
0.19047619047619047,
0.3,
0.23333333333333334,
0.1738095238095238,
0.14047619047619048,
0.11666666666666667,
0.10714285714285715,
0.123... | 0.97244 | [
0.3068479437247214,
-0.08311432200801058,
2.7503792189714362,
-0.09746839839216327,
1.5903168281995748,
0.08227654382566094,
0.25641170440268757,
0.5781726637769701,
1.3592470649230088,
0.011488648255214094,
-0.3016844483971983,
0.9064332830767727,
1.5806121388543057,
0.08733612274852469,
... | {
"n_parameters": 36,
"n_qubits": 10,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 26 |
6f8c6ff9996b89cfcf990ffd7b6839cc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 191], "expectation_value": -14.949470409889566, "params": [-0.0028, 1.3103, -0.0034000000000000002, 0.0015, -0.002, 1.4389, -0.0021000000000000003, 0.0057, -0.12150000000000001, 2.6774, -0.028800000000000003, 0.0031000000000000003, -0.0022, 1.8247, -0.0004, 0.0025, 0.3992, 2.9953000000000003, 0.378700000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(2) @ Z(9)) + -2.0 * (Z(2) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1101000000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.01801071332341883) q[0];
rz(1.8498505632002704) q[0];
rx(0.0923282930021966) q[1];
rz(2.779403183210836) q[1];
rx(-0.9488708224962118) q[2];
rz(2.5858790702443635) q[2];
rx(-0.05891790588806183) q[3];
rz(2.3077944112704394) q[3];
rx(-0.8055219949925988) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIZIZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IZIIIIIZII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIZIIIII",
"IIIIIZIIII",
"IIIZIIIIII",
"ZIIIIIIIII",
"IIZIIIIIII"... | [
-2,
-2,
1,
-1.5,
0.5,
-1.5,
-2,
1,
-2,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.939419 | [
-0.018010713323418828,
0.2790542364053733,
0.0923282930021966,
1.2086068564159393,
-0.9488708224962119,
1.0150827434494665,
-0.05891790588806183,
0.7369980844755415,
-0.8055219949925988,
1.5363273511796518,
-0.014484248344069073,
1.283563498335998,
-0.7814140888508997,
1.1826500323417923,
... | {
"n_parameters": 194,
"n_qubits": 10,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
b5d31547332077f719420bef3fcbd8c6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 1, "target": 9}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [75, 79], "expectation_value": -2.037253077637056, "params": [0.3209, 0.3168, 0.2984, 0.2972, 0.08420000000000001, 0.0883, 0.8093, 0.8071, 0.3195, 0.31720000000000004, 0.2907, 0.28900000000000003, 0.8099000000000001, 0.8077000000000001, 0.8014, 0.803, 0.7999, 0.8052, 0.8035, 0.8049000000000001, 0.0022, 0.004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(7) + 0.0 * Z(9) + -1.0 * Z(2) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101001", "1011010001", "1110101000", "0111010100", "0101010110", "0110101100", "1110110000", "1111010000", "1010110001", "0110110100"], ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.3521418204750832) q[0];
rz(0.27032177193999746) q[0];
ry(0.09294490723215626) q[1];
ry(0.09273942985510933) q[2];
ry(1.303253771125463) q[3];
ry(-0.023968893182473396) q[4];
ry(-0.07890320916037812) q[5];
ry(1.8275328904338637) q[6];
ry(1.6255482356312947) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIZIIIIIIZ",
"ZIIIIIIIZI",
"IIZIIIIZII",
"IZIIIIIZII",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZZIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIZIIIIIII",
"ZIIIIIIIII",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIIIZIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII"
] | [
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,
-1,
0,
-0.5,
-0.5,
-0.5,
0
] | 0.9729 | [
-0.3521418204750832,
0.09294490723215626,
0.09273942985510933,
1.303253771125463,
-0.023968893182473396,
-0.07890320916037812,
1.8275328904338637,
1.6255482356312947,
1.4975040203416379,
1.6320744429297211,
0.5406435438799949,
-0.21363010722944206,
-0.20778243411785918,
0.15778424843652944... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 22 |
ee183be25ff5cf792caaa72edcb0a0c1 | 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": 3, "target":... | {"states": [0, 255], "expectation_value": -8.734427152397574, "params": [-0.018600000000000002, 0.9740000000000001, -0.6519, 0.00030000000000000003, 0.7038, 0.4761, -0.6546000000000001, 0.007500000000000001, 0.7789, 0.6019, -0.28850000000000003, 0.0067, 0.7798, 0.9168000000000001, -0.17270000000000002, 0.0057, 0.776400... | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(3.1415925087799224) q[0];
ry(0.6538582259083622) q[0];
rz(-1.5707961443556386) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.7743671005567656) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(-0.7743671005567656) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.1512164882019844)... | 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": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZZIIIII",
"IZZIIIIII",
"IZIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-2,
-2,
-1.5,
-2,
0.5,
0.5,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.525584 | [
-0.7743671005567656,
-1.1512164882019844,
-0.1567633779364694,
-1.5707962158256041,
-0.9169381008865425
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 154 |
1e277e87feb79246d4c3112af02a6a4a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [189, 188], "expectation_value": -40.00847550911185, "params": [[-0.0366, -0.0025, 0.0054, -0.001], [0.0801, 0.0723, 0.0623, 0.057]], "bitstrings": ["101000010", "101000011"], "total_optimization_steps": 10, "probabilities": [0.01567435941863119, 0.01848603519314521], "optimization_time": 7.6832356452941895} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"], "largest_eigenvalue": 177.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.020978761801343192) q[0];
rz(0.5163182314904255) q[0];
rx(0.9268064577402324) q[1];
rz(-0.13640818594787107) q[1];
rx(0.1035785367262719) q[2];
rz(0.21719800416602195) q[2];
rx(0.5910051363443589) q[3];
rz(0.09342813476678803) q[3];
rx(0.82194410053844) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIIZIZII",
"IIIZIIZII",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
19,
-3.5,
14,
9.5,
23.5,
13,
22.5,
4,
8
] | 0.975339 | [
0.020978761801343192,
0.5832549339802381,
0.9268064577402324,
-0.13640818594787107,
0.1035785367262719,
0.21719800416602195,
0.5910051363443589,
0.09342813476678803,
0.82194410053844,
-0.10274540364092795,
0.7763548072277281,
-0.14313663960275602,
0.8085523565040738,
0.12923759132137974,
... | {
"n_parameters": 101,
"n_qubits": 9,
"optimal_eigenvalue": -96.5,
"target_ratio": 0.97,
"target_value": -93.605
} | 10 |
e136dd3cea407d3fe443210f8cf0dea7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 2}, {"weight": 8, "source": 2, "target": 3}, {"weight": 16, "sourc... | {"states": [234, 186], "expectation_value": -19.39954977876706, "params": [[-0.0313, 0.0036000000000000003], [0.0734, 0.07]], "bitstrings": ["100010101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.0056342238661415784, 0.006722927771909632], "optimization_time": 3.07019305229187} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 0.0 * Z(0) + 14.0 * Z(2) + 17.0 * Z(3) + 1... | 1 | 9 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.11964780026409781) q[0];
cx q[1], q[0];
rz(0.9364566079483394) q[0];
rx(1.1110511150607807) q[0];
h q[2];
cx q[1], q[2];
rz(0.11964780026409781) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.11964780026409781) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIZII",
"IIZIIZIII",
"IZZIIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
19.5,
0,
14,
17,
13,
6,
3,
10,
5
] | 0.941244 | [
0.11964780026409781,
-1.7426991377104577,
0.9364566079483394,
1.2787093663411269,
-1.668615855841008,
-1.6148876577115532,
-1.7657252198897775,
1.272118445353159,
-1.7910103174444303,
1.111051115060781,
-0.42245520418577437,
0.2922488977194785,
-0.893838452483616,
0.18834188614879768,
-0... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 500 |
cad641d981f27f8814cde398a8be85de | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -8.832450604640291, "params": [[-0.042100000000000005], [0.0639]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006889218230062219, 0.007084902094838303], "optimization_time": 1.7773735523223877} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 6.5 * Z(0) + 15.0 * Z(3) + 16.5 * Z(1) + 19.0 * Z(2) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 143.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[0], q[3];
rz(-0.02033561922445927) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.02033561922445927) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(-0.02033561922445927) q[2];
cx q[0], q[2];
rz(-1.0904508794533765) q[0];
rx(-1.3918607712073752) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIZIII",
"IZZIIIII",
"IIIZIIZI",
"IIZZIIII",
"IZIZIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"IIIZIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
15,
16.5,
19,
11,
10.5,
5,
-5.5
] | 0.972252 | [
-0.02033561922445927,
-1.0904508794533765,
1.055304006344118,
1.1022288573420782,
1.6506512967533449,
1.4760983386336486,
1.5476974332698752,
-1.30212635577519,
-1.2415512013508558,
-1.3918607712073752,
0.29625920554545454,
0.21553265290304796,
0.8281149278783257,
1.5868965368529901,
0.5... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -66,
"target_ratio": 0.97,
"target_value": -64.02
} | 34 |
d75363653ef00cde7e482c2c3392dff7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [143, 191], "expectation_value": -5.589637543306164, "params": null, "bitstrings": ["101110000", "101000000"], "total_optimization_steps": 77, "probabilities": [0.21364442366040196, 0.6608383547147513], "optimization_time": 133.28516149520874} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["111110010", "111110000", "111110110", "111110100", "101000000", "101110010", "101110000", "100000000"], "largest_eigenvalue": 9.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.5800016602217045) q[0];
ry(-3.0160182889402423) q[1];
rz(-pi) q[1];
ry(-0.7937295761698439) q[2];
rz(-pi) q[2];
h q[3];
ry(0.7483050100221447) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7483050100221447) q[3];
cx q[4], q[3];
ry(0.5506897500678624) q[4];
cx q[3], q... | 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[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",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZI",
"IIZIIIIZI",
"IIIIZZIII",
"ZIIIIZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"IIIZIZIII",
"IIIZZIIII",
"ZIIZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"... | [
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.25,
-1,
0,
-1.25,
-0.25,
1.5,
1.25
] | 0.97588 | [
1.635354928027199,
1.6535551550449947,
1.4966100200442893,
1.2823506458400487,
-1.160003320443409,
1.2213443738772067,
1.3259987864913463,
-0.7536541197185559,
1.1013795001357247,
0.24812610013146263,
0.3257426326105941,
-0.5864937370001171,
-0.3811460272498714,
-0.024507037660432593,
0.... | {
"n_parameters": 38,
"n_qubits": 9,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 2 |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -0.21480399822468535, "params": [[-0.0608, -0.07390000000000001], [0.0717, 0.06810000000000001]], "bitstrings": ["11001", "10011"], "total_optimization_steps": 10, "probabilities": [0.03722387148146553, 0.03722387148146556], "optimization_time": 1.780604362487793} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.016234704253647998) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-0.010386543699948906) q[1];
h q[2];
h q[3];
ry(1.1585700450953158) q[3];
h q[4];
ry(-0.5085847075913551) q[4];
cx q[2], q[4];
ry(0.5085847075913551) q[4];
cx q[2], q[4];
ry(-0.2519288651435193) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZIZI",
"ZIZII",
"ZZIII",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-0.5,
-0.5,
-1
] | 0.987557 | [
-1.6083798548905424,
-1.580119373751702,
1.1585700450953158,
-1.0171694151827102,
0.8689899356169645,
-0.5038577302870386,
0.5447428831437316,
0.28835851723029476,
-0.27941569527661547,
-0.0021269934862870876,
0.08523768570425198,
-0.12057589076085368,
0.1076364646985875,
0.109842316070757... | {
"n_parameters": 14,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
a38227ca05bb5e1c3110df61e15475e5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [138, 139], "expectation_value": -2.464140479902167, "params": [0.5059, -0.1019, 0.4985, 0.0241, 0.0838, -0.19840000000000002, 0.0796, -0.2089, 0.0772, 0.2101, 0.0732, 0.21100000000000002, 0.49150000000000005, 0.2082, 0.38370000000000004, 0.21180000000000002, 0.501, 0.1817, 0.49660000000000004, 0.2015, -0.02... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) | 5 | 8 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101100", "01110100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-1.5828140966267514) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.014155834669197016) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014155834669197016) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-1.5828140966267514) q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIZIIIIZ",
"ZIIIIZII",
"ZIIIIIZI",
"IZIIIIZI",
"IIZIZIII",
"IIZZIIII",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIZIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
0,
-0.5,
-0.5
] | 0.977509 | [
-1.5828140966267514,
-0.014155834669197016,
-0.02116396070815279,
-0.013337028446488167,
0.04356747679686805,
-0.008037532779039583,
0.10057400069633016,
0.009481270663633676,
0.7191847124874255
] | {
"n_parameters": 9,
"n_qubits": 16,
"optimal_eigenvalue": -2.0216796874999727,
"target_ratio": 0.97,
"target_value": -1.9610292968749734
} | 24 |
74f3db266dbfc29b2e3165b97e91cad0 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 44.76257658004761} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.04184615944811212) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.45664904095762016) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.12895850687487254) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.12895850687487254) q[4];
cx q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"IZIIZII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"ZIIIIII",
"IIIZIII",
"IZIIIII"
] | [
-1.5,
-0.25,
-1.25,
-1.25,
-1.25,
-0.5,
3.25,
-1.25,
-0.75,
-1.5,
-0.75,
-2.25,
-0.25,
-1.75,
1.25,
0.75,
0,
2.25
] | 0.970066 | [
-0.04184615944811212,
0.45664904095762016,
0.12895850687487254,
-0.03723472961299448,
-0.21737936292996754,
0.029373184406209597,
0.6374450655047218,
0.5801198435909705,
0.9287483803293076,
-1.0246339813489909,
-0.8274406081529805,
-1.1072203716599882,
1.4433797659572527,
-0.16463148373233... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 114 |
520b4019fb4986d4ab684733a5ebe8d8 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [412, 220], "expectation_value": -38.44904712405621, "params": null, "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.11044993350846113, 0.31278172216876643], "optimization_time": 165.1387300491333} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 136.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.4463129710864574) q[0];
rz(-pi) q[1];
ry(-1.2426624200713647) q[1];
ry(-1.1969951662422582) q[2];
rz(-pi) q[2];
h q[3];
ry(1.295402841617871) q[3];
rz(-pi) q[4];
ry(-1.09230066430897) q[4];
ry(-1.0797131317453423) q[5];
rz(-pi) q[5];
h q[6];
ry(7.916716500... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(62.9199) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIZIII",
"IIIZIZIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIZIIIII",
"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,
10,
3,
13.5,
13,
9,
10,
12.5,
6.5,
5
] | 0.970481 | [
62.424019866519146,
62.83252087601606,
37.4514583039102,
7.916716500547319,
62.899917161244026,
-5.327529590648128,
17.8716104702074,
-0.4868593117644719,
-3.671026591069804,
2.913608838439612,
-13.419835438932315,
14.092630322700535,
2.590805683235742,
-1.140616245352763,
0.271174301315... | {
"n_parameters": 77,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 50 |
8446431012283473570 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [1, 2, 3, 6], [1, 2, 6, 7], [1, 2, 4, 6]]} | {"states": [63, 187], "expectation_value": -0.4317412925517164, "params": [[0.3685], [-0.3563]], "bitstrings": ["11000000", "01000100"], "total_optimization_steps": 40, "probabilities": [0.0062764398357385435, 0.006276439835738546], "optimization_time": 1.9892303943634033} | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.02380952... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9404761904761905, -0.9404761904761905], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9404761904761904, "smallest_bitstrings": ["10100100", "01000100"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(1.4722755719935803) q[1];
h q[2];
ry(-0.2957467805347192) q[2];
ry(-2.0021056535856068) q[3];
rz(-pi) q[3];
ry(-2.023593739825515) q[4];
rz(-pi) q[4];
h q[5];
ry(-0.14116984227840723) q[5];
ry(-2.612662588065239) q[6];
rz(-pi) q[6];
cx q[1], q[6];
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;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZZI",
"IIIIZZI... | [
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.10714285714285714,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.023809523809523808,
0.2738095238095238,
0.023809523809523808,
0.10714285714285714,
0.1071428... | 0.972836 | [
1.4722755719935803,
0.7105499590702244,
0.6626326044002361,
-0.5914935610694384,
-0.3631285791544895,
-0.20046418216524306,
0.5062667978647899,
0.4127096184284608,
0.055109464827340214,
-0.3153365580053234,
-0.042428935821069144,
0.259612851117069,
0.3863691238270986,
0.15704172891372495,
... | {
"n_parameters": 53,
"n_qubits": 8,
"optimal_eigenvalue": -0.9404761904761905,
"target_ratio": 0.97,
"target_value": -0.9122619047619047
} | 8 |
3ac54a966ac53ee2e7adea8d673692bd | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2047, 63], "expectation_value": -2.504006767522337, "params": [[0.0582], [-0.0489]], "bitstrings": ["00000000000", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.0009098011391383404, 0.0009482065189257197], "optimization_time": 1.8645451068878174} | 1.5 * (Z(3) @ Z(4)) + -3.0 * (Z(0) @ Z(4)) + -3.0 * (Z(0) @ Z(3)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-38.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 39.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.03221570496406274) q[0];
rz(0.07210309783031728) q[0];
rx(-0.05183241727290228) q[1];
rz(-0.21089103509158694) q[1];
rx(-0.03221570496406274) q[2];
rz(0.15991321562739366) q[2];
rx(-0.05183241727290228) q[3];
rz(-0.03724376858482311) q[3];
rx(-1.5949444098086087)... | 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[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[4], q[3];
rz(x0) q[3];
c... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIIIIZZIII",
"IIIIIIZIIIZ",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIIZIZI",
"IIIIIIIIIZZ",
"IIIIIIZIZII",
"IIIIIIIZZII",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIZIZIIIII",
"IIZZIIIIIII",
"IIZIIZIIIII",
"IZIZIIIIIII",
"IZIIIZIIIII",
"IZZIIIIIIII",
"ZIIZIIIIIII",
"ZIIIIZIIIII",
"ZIZIIIIII... | [
1.5,
-3,
-3,
-3,
-3,
-2.5,
-2.5,
1,
-2.5,
-2.5,
-3,
1,
-2.5,
-2.5,
-2.5,
-2,
1,
-3,
0.5,
0.5,
-2.5,
1,
0.5,
-2,
-2.5,
-2,
1.5,
1.5,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.98456 | [
-0.03221570496406274,
0.07210309783031728,
-0.05183241727290228,
-0.21089103509158694,
0.15991321562739366,
-0.03724376858482311,
-1.5949444098086087,
0.04693437327613105,
0.05575653730932956,
-0.018496142808979748,
0.05751347134152738,
0.020985098921214904,
-0.01958027297282033,
0.0345768... | {
"n_parameters": 18,
"n_qubits": 11,
"optimal_eigenvalue": -38.5,
"target_ratio": 0.97,
"target_value": -37.345
} | 1 |
a81a167158580bb999f8e68ace712ae9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.24399755119118366, "params": [[-0.0458, -0.0264], [0.0668, 0.039400000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00959934096217542, 0.009812667399182087], "optimization_time": 2.666290044784546} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.0774828677495163) q[0];
h q[1];
ry(1.5548136672768265) q[1];
h q[2];
ry(1.5454980980603812) q[2];
h q[3];
ry(0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.9204124634004016) q[3];
cx q[1], q[3];
ry(-0.2542960137412164) q[3];
h q[4];
ry(0.38183747534908374)... | 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": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIZIZI",
"IIIZZII",
"IIZIZII",
"IIZZIII",
"ZIIIIIZ",
"ZIIIZII",
"ZIZIIII",
"IZIIIZI",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.5,
-1,
-0.75,
-0.5,
-0.5,
-0.5,
0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.25,
1.25,
-0.75,
-0.25,
-0.25,
0.5
] | 0.970712 | [
1.5454980980603812,
1.5548136672768265,
1.5805648370330432,
0.7636749506981675,
1.8408249268008032,
0.43803001735649794,
-2.1549657354990326,
1.0310008163067323,
-0.7367755493342508,
-0.9093214752915146,
-0.022856653535134153,
0.2404702180227241,
-1.5901752397015083,
-0.031695334543764365,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 133 |
7227055949868351043 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5, 6], [0, 1, 2, 4], [1, 3]]} | {"states": [37, 53], "expectation_value": -0.9248946477786681, "params": null, "bitstrings": ["1011010", "1001010"], "total_optimization_steps": 46, "probabilities": [0.17205855812916923, 0.19921643230881833], "optimization_time": 44.47093915939331} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["1001001", "1001010", "0100010", "0100001", "0011001", "00011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[4];
rz(0.40568572316097656) q[4];
cx q[5], q[4];
h q[6];
cx q[5], q[6];
rz(0.40568572316097656) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.4056857231609765) q[5];
rx(-0.8871371794063584) q[5];
rz(0.405685723160976... | 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(1.1408) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIZIIIZ",
"IIZIIZI",
"IIIIIZZ",
"IIZIZII",
"IIIIZIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIII",
"IIZIIII",
"ZIIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.16666666666666666,
0.29166666666666663,
0.16666666666666666,
0.125,
0.125,
0.125,
0
] | 0.798099 | [
0.40568572316097656,
0.13947135741043304,
1.5517912942330574,
1.0136987880377217,
0.7217336232867775,
-0.6671797520250718,
-0.8871371794063584
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -1.0833333333333335,
"target_ratio": 0.97,
"target_value": -1.0508333333333335
} | 178 |
a496643cb2e08d855373b91d187c0135 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -11.841402312679701, "params": [[0.031200000000000002, 0.027800000000000002, -0.0077, 0.022000000000000002], [-0.036000000000000004, -0.0354, -0.025400000000000002, -0.028300000000000002]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities":... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 106.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.013073846050879977) q[1];
cx q[0], q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.013073846050879977) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.013073846050879977) q[3];
cx q[2], q[3];
rz(-1.577151906161621) q[2];
rx(-1.558957801... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIZII",
"IIIIZZII",
"IIIZZIII",
"IIZIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
3,
6,
1.5,
10,
10.5,
10.5,
8,
12
] | 0.980179 | [
-0.013073846050879977,
-1.2914686192920426,
1.5897659140495197,
-1.5771519061616204,
1.2839791499377913,
1.711496406988009,
-1.3676435003029348,
1.5144477928027038,
-1.5589578012410836
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -54.5,
"target_ratio": 0.97,
"target_value": -52.865
} | 34 |
-6867976885046668713 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [2, 4], [1, 7], [4, 6], [5, 7], [0, 7], [3, 5]]} | {"states": [397, 461], "expectation_value": -1.1322971607184955, "params": [1.0941, -0.2006, 1.0446, 0.003, 1.1007, -0.19920000000000002, 1.0495, 0.0092, 1.1006, 0.0931, 1.0689, 0.0061, 0.8913000000000001, -0.4239, 0.5493, 0.0035, 1.0571000000000002, 0.4295, 0.7674000000000001, 0.0029000000000000002, 1.1001, -0.1839, 1... | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["000110010", "001100110", "111001101", "110011001"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.317043623923474) q[0];
rz(-0.11246555351092358) q[0];
rx(1.7424560408898122) q[1];
rz(-0.03687937169416022) q[1];
rx(1.784444717742186) q[2];
rz(-0.2666354026620015) q[2];
rx(-0.3324628415153106) q[3];
rz(-1.3468754985804523) q[3];
rx(0.004020425101659591) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZZIIIIIII",
"IIIIZIZII",
"IZIIIIIZI",
"IIZIZIIII",
"IZIZIIIII",
"IZIIIIIIZ",
"IIIZIZIII",
"IZIIIIIII",
"ZIIIIIIII",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIZIIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.974357 | [
1.317043623923474,
-0.08594869650978473,
1.7424560408898122,
-0.004516593129317188,
1.7844447177421863,
-0.30538349654184926,
-0.3324628415153106,
-1.1012000444973733,
0.0040204251016595915,
-0.14102724381360301,
1.4302755300704664,
-0.10314064745520855,
1.7341820841591442,
-0.601287898630... | {
"n_parameters": 45,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 79 |
4d70328aecc8c1ea3157fc10838636c1 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -5.383087760606567, "params": [[[0.3, 0.18860000000000002], [0.2672, -0.23170000000000002], [0.3245, -0.1623], [0.2664, -0.23120000000000002], [0.6138, -0.0004], [0.6116, 0.0011], [0.6189, -0.0011]], [[0.3015, 0.1885], [0.26930000000000004, -0.2316], [0.3196, -0.1622], [0.2689000... | 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(5) @ Z(1)) + 2.5 * (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": [-13.5], "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;
rx(-0.027915315044976848) q[0];
rz(0.9079317232921404) q[0];
rx(-0.075741799279953) q[1];
rz(0.40344095680944037) q[1];
rx(-0.19726492599124124) q[2];
rz(0.3090192037444801) q[2];
rx(-0.054457467281475554) q[3];
rz(0.31152701050214304) q[3];
rx(0.980611838329351) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 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,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
-3.5,
-3.25,
-3.25,
-3.5,
-3,
-3,
-3
] | 0.978518 | [
-0.02791531504497685,
0.7987750073775817,
-0.075741799279953,
0.1807703503826541,
-0.1972649259912412,
0.22315061411334475,
-0.05445746728147556,
0.17837210837707032,
0.980611838329351,
0.17196108918343747,
0.6762345045023291,
0.17168297010729175,
0.779897852478124,
-0.09894333872144807,
... | {
"n_parameters": 77,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 17 |
a3571c19d72a014065614d323aff3379 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [52, 7], "expectation_value": -3.41930102600093, "params": [[-0.07680000000000001, -0.0609], [0.08, 0.0671]], "bitstrings": ["001011", "111000"], "total_optimization_steps": 10, "probabilities": [0.029927725217198612, 0.030304839176372934], "optimization_time": 3.5944042205810547} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (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 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 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,
1.75,
2,
2,
2,
2,
1.75,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.5,
-1,
-0.25,
-0.25,
-0.25
] | 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 |
9eb990d2817d4507a1e9a1f31f8f79ce | 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": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [68, 56], "expectation_value": -0.20855097004901274, "params": [[-0.038400000000000004], [0.049]], "bitstrings": ["0111011", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008262777716033811, 0.00838264455747891], "optimization_time": 1.7378320693969727} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000111"], "largest_eigenvalue": 19.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.12292647584711837) q[0];
rz(-pi) q[0];
ry(-2.9613768013484556) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3499241235450232) q[2];
cx q[2], q[0];
ry(0.010920664489540308) q[0];
cx q[2], q[0];
ry(0.09110301832663617) q[2];
ry(-0.02872093900862384) q[0];
h q[3];
ry(1.385647948... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IZIIIIZ",
"IZIIZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZZIIIII",
"IIZIIZI",
"IIZIZII",
"IZZIIII",
"ZIZIIII",
"IZIZIII",
"ZIIZIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIZIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-2,
-2.5,
-2,
-1
] | 0.997369 | [
-1.5454072326597215,
-1.5443650010788166,
-1.436949186458238,
1.3856479485248068,
1.3499241235450232,
-0.021841328979080615,
0.08131270201707194,
0.18220603665327234,
0.1050766275521009,
-0.002619135292361735,
-0.05744187801724768,
-0.08585061621585412,
0.07397892349269623,
0.0128536980205... | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 1 |
ecdfa6719727c874685bdf2e4be77fdf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [221, 218], "expectation_value": -7.779885232079197, "params": [[-0.0509], [0.057600000000000005]], "bitstrings": ["100100010", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0035910015511744905, 0.004052069753777237], "optimization_time": 2.033595561981201} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1600009174123589) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.1600009174123589) q[2];
cx q[0], q[2];
rz(-0.7719264209641086) q[0];
rx(-0.132126651824934) q[0];
h q[3];
cx q[2], q[3];
rz(-0.1600009174123589) q[3];
cx q[2], 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;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
4,
10.5,
5,
16.5,
11.5,
8,
10.5,
4.5
] | 0.95037 | [
-0.1600009174123589,
0.8135875551295041,
-0.7719264209641092,
0.3112642997869111,
-1.1107828918886062,
-0.0035859949432012327,
0.25353739314454043,
-1.4782590457539677,
-0.13212665182493402,
0.04029037999209201,
0.9336532585928261,
-0.45999796928967995,
1.4560523182964364,
-0.1298961412366... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 500 |
8c44c442a25e00dfae4e1647b2faf79f | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27871, 27869], "expectation_value": -6.970759900987185, "params": [[[1.0604, -0.00030000000000000003], [1.0646, 0.0005], [0.5347000000000001, -0.2848], [0.9863000000000001, 0.0002], [0.9912000000000001, -0.0007], [0.5047, 0.27080000000000004], [0.5248, 0.24070000000000003], [0.5371, -0.21710000000000002], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 3 | {"smallest_eigenvalues": [-9.499999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999957, "smallest_bitstrings": ["001001100100010"], "largest_eigenvalue": 28.500000000000053} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022216824968526526) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022216824968526526) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022216824968526526) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6284369302106981) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1,
1,
1,
1,
1,
1,
1,
1,
1,
... | 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 |
2af31481880262de1e494298467816a7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [132, 133], "expectation_value": -6.052002488895036, "params": [-0.0033, 0.006, 1.6968, 0.0091, -0.0018000000000000002, 0.007, 1.4049, 0.0018000000000000002, -0.001, 0.006900000000000001, -0.0021000000000000003, 0.0049, 1.7091, 0.0021000000000000003, 0.33390000000000003, 0.0011, 1.5795000000000001, 0.0028, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["110101101", "111010101", "011101011", "101111010", "111011010", "001111011"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.039515895331047025) q[0];
rz(-0.972580754923944) q[0];
rx(2.79301953737585) q[1];
rz(-0.1768472717138696) q[1];
rx(0.14625002920604077) q[2];
rz(-0.103441243372143) q[2];
rx(0.0473784555915711) q[3];
rz(-0.24524930667983647) q[3];
rx(0.05773372074961773) q[4];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIZZIII",
"ZIIIZIIII",
"IIIIZIIZI",
"IIIZIIZII",
"ZIIZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IIZIIIZII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1.5,
-1.5,
-1,
-1.5,
-1.5,
-1.5,
-2,
-1
] | 0.981943 | [
0.039515895331047025,
-0.6663517079938617,
2.79301953737585,
-0.155300535917329,
0.14625002920604077,
0.040264648800335964,
0.04737845559157111,
-0.28741178434495784,
0.05773372074961773,
-0.17413602842508155,
-0.08454936184752224,
0.13873727671426922,
2.599512893850649,
-0.582877688758799... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 20 |
c357ceba8af25a69cad8c2f5a7e74a4d | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [44, 108], "expectation_value": -5.4382427735174454, "params": [0.0015, 0.5645, 0.8868, 0.2795, 0.907, -0.0032, -0.003, 0.5053, 0.899, 0.040400000000000005, 0.9034000000000001, -0.0024000000000000002, 0.0034000000000000002, -0.4582, 0.0008, 0.467, 0.0023, 0.006, 0.8596, 0.0013000000000000002, 0.9066000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(1) ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10010011"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.17310290374730233) q[0];
rz(0.9545520918842509) q[0];
rx(1.3248560290835352) q[1];
rz(0.08319132540656415) q[1];
rx(1.5651805597518842) q[2];
rz(0.11597748522531237) q[2];
rx(0.1072150720427547) q[3];
rz(0.18457879311475933) q[3];
rx(1.2594944702227637) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIZII",
"IIZIZIII",
"ZIZIIIII",
"IZIZIIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-2,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.973605 | [
0.17310290374730236,
0.8095502790304272,
1.3248560290835352,
0.11429529857481485,
1.5651805597518844,
0.07073205036419603,
0.10721507204275471,
0.21827471217913594,
1.2594944702227635,
-0.23979001335208547,
1.2964641478250079,
-0.05580204517401541,
0.011187136718387405,
-0.3476653371265590... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 15 |
9a399969b4fe457a86e13127eddc2921 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [116, 120], "expectation_value": -4.793773297992786, "params": [-0.0001, -0.1918, 0.40790000000000004, -0.0002, 0.4002, -0.0002, 0.40280000000000005, 0.0001, 0.39640000000000003, 0.0013000000000000002, 0.40030000000000004, -0.0007, 0.042800000000000005, -0.1761, -0.0032, -0.1875, 0.0, -0.19210000000000002, 0... | 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(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(5) + ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["10000111", "10001011"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.019318434318619414) q[0];
rz(1.5772069695575013) q[0];
rx(0.5822232689672997) q[1];
rz(1.6450586681058574) q[1];
rx(0.49235723080845123) q[2];
rz(1.6450586681058574) q[2];
rx(0.7771406228135296) q[3];
rz(1.5674210483868514) q[3];
rx(0.15621976458645537) 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": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIZZIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"ZIIIIIZI",
"IZIZIIII",
"ZZIIIIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IZIIIIII",
"IIIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-0.5,
-2,
-0.5,
-1.5,
0
] | 0.971284 | [
-0.019318434318619418,
0.00641064276260557,
0.5822232689672997,
0.07426234131096097,
0.4923572308084512,
0.7771406228135297,
-0.0033752784080457107,
0.15621976458645537,
-0.18621624869713557,
0.7072576290566515,
0.09324877091215907,
-0.11299456836491951,
-0.0545426620338976,
0.002909555111... | {
"n_parameters": 82,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 16 |
a91613587e2e3ed31c854337981da9dd | 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}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -8.055535200502927, "params": [-0.0026000000000000003, 0.228, 0.0028, 0.3178, 0.002, 0.3124, 0.006, 0.1847, 0.0034000000000000002, 0.2832, 0.3104, 0.09860000000000001, 0.0033, 0.30870000000000003, 0.4033, 0.0073, 0.0025, 0.1698, 0.0008, 0.31930000000000003, 0.0051, 0.3125, 0.0009... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 3 | 8 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.8142818159798348) q[0];
ry(-0.032593683521263635) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.610183497606998) q[2];
h q[3];
ry(-1.610183497606998) q[3];
h q[4];
ry(-1.610183497606998) q[4];
h q[5];
h q[6];
ry(-1.610183497606998) q[6];
h q[7];
ry(1.4863581279641118)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IZIIIIZI",
"IZIIZIII",
"IIIZIZII",
"IZIZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIZII",
"IIIIZIII",
"IZIIIIII",
"IIIZIIII",
"IIZIIIII"
] | [
-0.25,
0.5,
-1.25,
-0.25,
-1.75,
-0.25,
-0.75,
-0.75,
-1,
-1.25,
1.5,
-0.25,
0.5,
-1.25,
0,
0,
-1.75,
1.25
] | 0.997911 | [
-1.610183497606998,
1.4863581279641118,
-1.6285636319596697,
-1.3831484037152848,
-0.3101084791166965,
0.12617624117491766,
0.014085585013846047
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 1 |
df347d6d329a0fb535f13ae843b61cd8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 7}, {"source": ... | {"states": [510, 1023], "expectation_value": -18.498393402174074, "params": [[[-1.5091, 1.5843], [0.0024000000000000002, 1.5376], [0.0021000000000000003, 0.0022], [0.0019, -0.0051], [0.0022, 0.0019], [0.0019, 0.0019], [0.0022, 0.0023], [0.0021000000000000003, 0.0022], [0.0201, 0.0021000000000000003], [-0.0027, 0.0032]]... | -1.5 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(3)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 15 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 25.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-3.0084577674816337) q[0];
ry(-0.10396001899681584) q[1];
ry(-0.14874885016940192) q[2];
ry(-0.01503343064192928) q[3];
ry(-0.02666590827695182) q[4];
ry(-0.01503343064192928) q[5];
ry(-0.02666590827695182) q[6];
ry(-0.14874885016940192) q[7];
ry(0.24026531258751327... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIZIIZIII",
"IIZZIIIIII",
"IIZIIIZIII",
"IIIZIZIIII",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIZZIIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IZIZIIIIII",
"IZIIIIZIII",
"IZZIIIIIII",
"IZIIZIIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII"... | [
-1.5,
-2,
0.5,
-2.5,
-3,
-2,
1,
0.5,
-2.5,
-3,
0.5,
1,
-2,
-3,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
0.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.974323 | [
-3.0084577674816337,
-0.10396001899681584,
-0.14874885016940192,
-0.01503343064192928,
-0.02666590827695182,
0.24026531258751327,
0.0014463954086753328,
0.1905022808671255,
3.1364189647762504,
0.26990001439123434,
0.14562640780897948,
-0.015435735529858038
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 45 |
f4866d34fc4832d3ba3211e9f23410a9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [222, 220], "expectation_value": -37.13451749187521, "params": null, "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06502132219866995, 0.2825267486863512], "optimization_time": 161.0913016796112} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 11.0 * Z(1) + 0.5 * Z(0) + 9.5 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 157.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.0077842888156029345) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.0077842888156029345) q[2];
cx q[0], q[2];
rz(-1.4012324936476928) q[0];
rx(-1.6022278951510165) q[0];
h q[3];
cx q[2], q[3];
rz(-0.0077842888156029345) q[3];
cx q... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(100.1787) 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] =... | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
11,
0.5,
9.5,
14,
25,
18,
13,
1,
0
] | 0.970901 | [
-0.0077842888156029345,
1.5980764235390623,
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1.7151950705552013,
4.454033071216039,
1.4732084922386033,
1.6990564055392747,
0.99659235501385,
-1.616279104785361,
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] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -86,
"target_ratio": 0.97,
"target_value": -83.42
} | 61 |
-3967254658723438867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[5, 6], [2, 5], [9, 6], [4, 7], [8, 5], [0, 9], [1, 9], [3, 7]]} | {"states": [911, 910], "expectation_value": -0.49570168315184543, "params": [0.9115000000000001, 0.8779, 0.9127000000000001, 0.9457000000000001, 0.9400000000000001, 0.9552, 0.5388000000000001, 0.5361, 0.5695, 0.5711, 0.5518000000000001, 0.5485, 0.9897, 0.9616, 0.9004000000000001, 0.8202, 0.9456, 0.9726, 0.6442, 0.6087,... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0000010101", "1110001110", "1111101010", "0001110001"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.6970947383429935) q[0];
rz(pi/2) q[0];
ry(1.5949771853595727) q[1];
ry(1.2458246659545364) q[2];
ry(0.5843480214814556) q[3];
ry(-0.4457061142968733) q[4];
ry(0.0029291921442329213) q[5];
ry(1.558195353559267) q[6];
ry(1.426129359349117) q[7];
ry(1.389596943008967... | 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": []} | [
"IIIZZIIIII",
"IIIIZIIZII",
"ZIIZIIIIII",
"IIZIIZIIII",
"IZIIZIIIII",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIZIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIZII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IIIIIZIIII",
"IZIIIIIIII",
"IIIIIIIIIZ",
"IIIIIIIIZI",
"IIIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.971882 | [
1.6970947383429935,
1.5949771853595727,
1.2458246659545364,
0.5843480214814556,
-0.4457061142968733,
0.0029291921442329213,
1.558195353559267,
1.426129359349117,
1.3895969430089672,
-0.04052450481826908,
-0.20170465938503132,
-0.14612413334840402,
0.7571369826580938,
0.001498029883327423,
... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 60 |
0fcc1a24f94fd2a8b4a107178db6be3d | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [174, 718], "expectation_value": -1.4808485217535825, "params": [[[0.4086, -0.1231, 0.0066, 0.0091], [0.1968, -0.037200000000000004, 0.4829, 0.1454], [0.3043, 0.22760000000000002, 0.059800000000000006, -0.171], [0.18030000000000002, -0.27940000000000004, 0.48800000000000004, 0.09040000000000001], [0.2441, 0.... | 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)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110001", "0100101100", "0101110000", "0110001100", "0110000101", "1100100100", "0110010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IZZIIIIIII"... | [
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0.125... | 0.821768 | [
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1.5736423638586798,
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] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
df62b430c122c4297c9377287854fb07 | min_cut | 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": [5, 13], "expectation_value": -1.5888911790646616, "params": [[[-0.0012000000000000001, 0.6113000000000001], [0.8997, 0.6576000000000001], [1.5752000000000002, 0.0032], [0.0032, 2.1934], [0.9017000000000001, 0.0029000000000000002]], [[-0.0012000000000000001, 0.002], [0.8997, 0.0082], [1.5736, 0.0084000000000... | -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 | 2 | {"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... | 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... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"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,
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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 |
2398b0b8852b758caa629303970b584b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 20.03951382637024} | 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(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.039254698902790326) q[0];
rz(pi/2) q[0];
ry(0.3648670593836806) q[1];
ry(0.3376361431186225) q[2];
ry(0.37423268336375176) q[3];
ry(0.5746655888699254) q[4];
ry(-0.09537820387184358) q[5];
ry(0.4618259931807873) q[6];
ry(0.43542575300609276) q[7];
ry(0.45015024645... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IIZIZI",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1.5,
-1,
-0.5
] | 0.9724 | [
0.039254698902790326,
0.3648670593836806,
0.3376361431186225,
0.37423268336375176,
0.5746655888699254,
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0.4618259931807873,
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0.02352608316433561,
0.3808695150484027,
-0.32131097767290606,
0.1267658218374237,
-0.03091676333232282... | {
"n_parameters": 152,
"n_qubits": 10,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 36 |
96aa688a41503b0eea4bda42198f6281 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [330, 346], "expectation_value": -1.9773403829564729, "params": [[[1.6132, 0.00030000000000000003], [0.9861000000000001, 0.001], [1.6105, 0.0099], [0.002, 0.007500000000000001], [1.5994000000000002, 0.0033], [1.6102, 0.0071], [0.0029000000000000002, 0.0045000000000000005], [1.6042, 0.0014], [1.2762, 0.006800... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["010100101"], "largest_eigenvalue": 7.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1309828985838556) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.1309828985838556) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1309828985838556) q[2];
cx q[0], q[2];
rz(-0.1539228319124235) q[0];
rx(-0.11835153931238239) q[0];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIZIIIZI",
"IZZIIIIII",
"IIIZIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IZIZIIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IZIZIIZII",
"ZIIZIIZII",
"ZZIIIIZII",
"ZZIZIIIII",
"ZZIZIIZII",
"... | [
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] | 0.971118 | [
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0.12446024266432326,
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0.9411007451254257,
-1.130705164161819,... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -83.5,
"target_ratio": 0.97,
"target_value": -80.995
} | 54 |
-1454360339941273515 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9], [2, 3, 4, 5, 8, 11], [0, 2, 4, 5, 6, 9], [1, 2, 7, 9, 10], [0, 2, 5, 9, 11], [1, 2, 3, 5, 6, 7, 8, 10], [0, 1, 2, 3, 6, 7, 8]]} | {"states": [3549, 1501], "expectation_value": -1.2139558935573498, "params": [[[1.5198, 0.0063, 0.0067, 0.01], [-0.0049, 0.0018000000000000002, 1.5705, 0.0021000000000000003], [-0.0032, 0.0036000000000000003, 0.0018000000000000002, 0.0082], [0.7401, 0.0028, 1.1967, 0.0026000000000000003], [2.4011, 0.003, 0.0027, 0.0069... | 0.5 * (Z(10) @ Z(11)) + 0.13333333333333336 * (Z(4) @ Z(11)) + 0.075 * (Z(4) @ Z(10)) + 0.075 * (Z(5) @ Z(10)) + 0.075 * (Z(5) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(11)) + 0.03333333333333333 * (Z(6) @ Z(10)) + 0.06666666666666667 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(7) @... | 12 | 12 | 1 | {"smallest_eigenvalues": [-1.6690476190476198], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.669047619047619, "smallest_bitstrings": ["101000100010"], "largest_eigenvalue": 6.500000000000003} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.25696262255160335) q[0];
rz(0.2991889202867683) q[0];
ry(-0.1502477301982443) q[1];
rz(0.09903041641826082) q[1];
cz q[1], q[0];
ry(-3.0360515651250597) q[1];
ry(-0.24207521213153319) q[2];
rz(-0.4408154399383814) q[2];
ry(0.6294373257647634) q[3];
rz(-0.322114684... | 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": []} | [
"ZZIIIIIIIIII",
"ZIIIIIIZIIII",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"IIIIIIZZIIII",
"ZIIIIZIIIIII",
"IZIIIZIIIIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"ZIIIZIIIIIII",
"IZIIZIIIIIII",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"ZIIIIIIIZIII",
"IZIIIIIIZIII",
"IIIIIIIZZIII",
"IIIIIIZIZ... | [
0.5,
0.13333333333333336,
0.075,
0.075,
0.075,
0.03333333333333333,
0.03333333333333333,
0.06666666666666667,
0.03333333333333333,
0.08333333333333334,
0.05119047619047619,
0.13452380952380952,
0.05119047619047619,
0.06666666666666667,
0.05,
0.03333333333333333,
0.08333333333333334,
... | 0.975032 | [
0.25696262255160335,
0.2991889202867683,
-0.1502477301982443,
0.09903041641826082,
-0.24207521213153319,
-0.4408154399383814,
0.6294373257647634,
-0.3221146846273683,
2.893889903402225,
0.15721470001816212,
0.21898809039933767,
-0.007220446133184996,
-0.4156474626188001,
0.4316240771613994... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -1.6690476190476198,
"target_ratio": 0.97,
"target_value": -1.6189761904761912
} | 18 |
6e104488336dc4e2d5aa766674769faa | 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": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [601, 605], "expectation_value": -1.627265786194441, "params": [0.5031, 0.20370000000000002, 0.2832, 0.2257, -0.0044, 0.3357, 0.5002, 0.228, 0.2805, 0.23170000000000002, 0.502, -0.0008, 0.5026, -0.038, 0.43620000000000003, 0.2748, 0.36010000000000003, 0.23140000000000002, 0.5087, -0.0361, 0.4958, 0.256200000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 18 | 10 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8125, "smallest_bitstrings": ["0110100010", "0110100100", "0111000010", "1010100100"], "largest_eigenvalue": 6.1875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.0337459267836137) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.0337459267836137) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0337459267836137) q[1];
cx q[3], q[1];
rz(0.47776601393558416) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIIIIZIZ",
"IIIIIIZIIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIIIZZII",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIIZIZIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IIIIIIZZIZ",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIIZIZIIZ",
"IIIZIIZIIZ",
"IIIZZIIIIZ",
"IIIIZIZZII",
"IIIZIIZZII"... | [
0.5,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.125,
0.125,
0.125,... | 0.980444 | [
0.0337459267836137,
-0.224746660988567,
0.7027276667913227,
-0.7866517681407637,
0.47776601393558293,
0.06859472673856071,
0.0848327084651184,
-1.0358302413519949,
0.588163984686401,
-0.6901458546352301,
-0.263494756161025,
-0.12191721180260982,
-0.5076337228166482,
0.29806378356771174,
... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 23 |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27995, 27885], "expectation_value": -5.4879609803739, "params": [[0.3971], [-0.4273]], "bitstrings": ["001001010100100", "001001100010010"], "total_optimization_steps": 90, "probabilities": [0.0010658444615961932, 0.0010658444615961934], "optimization_time": 18.48130202293396} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999947, "smallest_bitstrings": ["001001100010010"], "largest_eigenvalue": 24.000000000000153} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
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;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
1,
1,
1,
1,
1,
1,
0.75,
0.75,
0.75,
0.75,
0.75,
0.75,
1,
1,
1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.311953570089713, "params": [0.0043, 0.1408, -0.0009000000000000001, 0.1487, 0.0002, 0.12860000000000002, 0.0022, 0.1429, 0.0025, 0.15940000000000001, 0.0009000000000000001, 0.1544, 0.0036000000000000003, 0.1635, 0.008, 0.15410000000000001, 0.0066, 0.0728, 0.0025, 0.114, 0.0015... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.24651892900338027) q[0];
rz(-0.02611339524679801) q[0];
rx(-0.08720750038353253) q[1];
rz(-0.22837279392176768) q[1];
rx(0.06986892087623345) q[2];
rz(-0.28365813621906444) q[2];
rx(-0.023102080197568476) q[3];
rz(-0.28390828318081596) q[3];
rx(0.00482774705185674... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIIZIZI",
"IIIIIIZIIZ",
"IIIIIIZZII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IZIIIIIIIZ",
"IZIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIZII",
"ZIIIZIIIII",
"ZZIIIIIIII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IZIZIIIIII"... | [
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
2.25,
-0.5,
-0.25,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
-0.25,
-0.25,
-0.25,
-0.5,
1.5,
-0.25,
-1.25,
-0.5,
-0.75,
-1,
0.75,
0.25,
0,
1.25
] | 0.98196 | [
0.24651892900338024,
0.04962451481698661,
-0.08720750038353253,
-0.2686381492775718,
0.06986892087623346,
-0.3252021172121549,
-0.023102080197568473,
-0.3340835897969235,
0.004827747051856748,
-0.20402837193314885,
-0.00013363742941381249,
-0.14083589967920682,
0.024151235776961523,
-0.227... | {
"n_parameters": 84,
"n_qubits": 10,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 9 |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [4, 1], "expectation_value": -7.810622700098808, "params": [[-0.0056, -0.0049, -0.0456], [0.0109, 0.012100000000000001, 0.058800000000000005]], "bitstrings": ["111011", "111110"], "total_optimization_steps": 10, "probabilities": [0.022076301783312557, 0.022801661489961947], "optimization_time": 6.43970417976... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 11 | 6 | 3 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
2.75,
-13,
-13,
-13.25,
-13,
-13.25,
-12.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
fb354d60453679d679afcbc2ef259e36 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 26], "expectation_value": -3.5167650141364017, "params": [[[0.0019, 0.004], [3.0013, 0.0016], [2.9989000000000003, 0.0015], [-0.0017000000000000001, 0.007], [1.6244, 0.0043], [0.0019, 0.004]]], "bitstrings": ["100111", "100101"], "total_optimization_steps": 300, "probabilities": [0.46850949347226734, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
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] 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];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-0.5,
-1,
-1,
-0.5
] | 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 |
3012e1b6018e3f767ff12c1a3a3c35a1 | 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": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [50, 35], "expectation_value": -4.496515537769795, "params": null, "bitstrings": ["1001101", "1011100"], "total_optimization_steps": 28, "probabilities": [0.06700898087128362, 0.9297460398074041], "optimization_time": 29.12088418006897} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "0111100"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.017048650774160467) q[0];
rz(-pi) q[0];
h q[1];
ry(1.428101949963524) q[1];
h q[2];
ry(-0.5585956640176606) q[2];
h q[3];
ry(-1.513638845189437) q[3];
rz(-pi) q[4];
ry(-0.03029958733089709) q[4];
h q[5];
ry(1.5357352680083305) q[5];
h q[6];
cx q[6], q[2];
ry(0.558... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIZI",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-1.5,
-1,
-1,
-0.5
] | 0.996101 | [
-1.513638845189437,
-1.5712238897082784,
-1.4295544274646308,
1.5357352680083305,
1.428101949963524,
-1.1171913280353212,
0.7490514998734579,
-0.29846349854310816,
0.45238629368725597,
-0.44128023792692567,
0.31667933370845947,
-0.25392485755588445,
-0.24838649711221067,
0.1534772811997058... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
8176293583578672830 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 4], [0, 2], [5, 6], [5, 7], [4, 7], [0, 4], [1, 3], [3, 7], [2, 7], [4, 5], [4, 6], [6, 7]]} | {"states": [186, 62], "expectation_value": -3.5521586398514935, "params": null, "bitstrings": ["01000101", "11000001"], "total_optimization_steps": 61, "probabilities": [0.05572701621438785, 0.8045322038879185], "optimization_time": 93.59177827835083} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111010", "00111100", "11000011", "11000001", "00111110", "11000101"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2027619618516402) q[0];
h q[1];
ry(-0.6532607842855371) q[1];
h q[2];
ry(0.7927159460746929) q[2];
h q[3];
ry(0.740760807505) q[3];
h q[4];
ry(1.549361703473922) q[4];
h q[5];
cx q[5], q[0];
ry(0.2027619618516402) q[0];
cx q[5], q[0];
ry(-0.457060806262433... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... | [
"IZIIIIIZ",
"IZZIIIII",
"IIZIIIIZ",
"IZIZIIII",
"IIIZIIIZ",
"IIZZIIII",
"IIIZIIZI",
"IIIIIZIZ",
"ZZIIIIII",
"ZIZIIIII",
"ZIIZIIII",
"ZIIIIZII",
"IIIIZIZI",
"ZIIIZIII",
"IZIIIIII",
"IIIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"IIIIIIZI",
"IIIIIZII",
"ZIIIIIII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.973023 | [
-0.4055239237032804,
1.4278269060525743,
1.5854318921493857,
-0.7799377534388002,
-0.9141216125248662,
1.267951050168897,
1.48152161501,
-1.3065215685710743,
1.549361703473922,
-0.15964994264518745,
-0.18761748852025886,
0.04291307855595581,
0.0038491847010438673,
-0.11016388489736448,
0... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 12 |
9036886079200607902 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4, 5], [0, 1, 2, 3, 5]]} | {"states": [30, 43], "expectation_value": -0.1369617022489351, "params": [[-0.3521], [0.3617]], "bitstrings": ["100001", "010100"], "total_optimization_steps": 40, "probabilities": [0.01977452906267066, 0.01977452906267066], "optimization_time": 1.227248191833496} | 0.13333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(3)) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.45000000000000007, -0.45000000000000007], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.44999999999999996, "smallest_bitstrings": ["100100", "010100"], "largest_eigenvalue": 2.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.05910005346422998) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.056472435954036976) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.056472435954036976) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(0.05910005346422998)... | 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[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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x1) q[4];
c... | null | {"circuits": [], "gradients": []} | [
"IIZZII",
"IZZIII",
"IZIZII",
"ZIZIII",
"ZIIZII",
"ZZIIII",
"IIZIIZ",
"IIIZIZ",
"ZIIIIZ",
"IIZIZI",
"IIIZZI",
"ZIIIZI",
"IIIIZZ",
"IIZIII",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI"
] | [
0.13333333333333333,
0.08333333333333333,
0.08333333333333333,
0.13333333333333333,
0.13333333333333333,
0.08333333333333333,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.22499999999999995,
0.22499999999999995,
0.125,
0.22499999999999995,
0.1,
0.1
] | 0.982067 | [
0.05910005346422998,
-0.056472435954036976,
-0.08170928183957307,
-1.5210447433101875,
1.7140455406211277,
1.0453007727490378,
1.6032780395253063
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -0.45000000000000007,
"target_ratio": 0.97,
"target_value": -0.43650000000000005
} | 36 |
407432492003673797 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [1, 3, 4], [0, 1, 4], [2, 4]]} | {"states": [28, 19], "expectation_value": -0.008117282275906867, "params": [[-0.028900000000000002], [0.041]], "bitstrings": ["00011", "01100"], "total_optimization_steps": 10, "probabilities": [0.03164399441418288, 0.03169363878658417], "optimization_time": 0.6537339687347412} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) + 0.3333333333333333 * Z(1) + 0.333333333333333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333335, "smallest_bitstrings": ["01100"], "largest_eigenvalue": 3.0} | 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[2];
rz(-0.8163654068421583) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(-0.14851051851743777) q[1];
cx q[3], q[1];
h q[4];
cx q[3], q[4];
rz(-0.14851051851743777) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.1485105185174378) q[3];
rx(... | 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x1) q[4];
cx q[3... | null | {"circuits": [], "gradients": []} | [
"IZZII",
"IZIZI",
"ZZIII",
"ZIZII",
"ZIIZI",
"IIIZZ",
"ZIIIZ",
"IZIII",
"IIZII",
"IIIZI",
"ZIIII",
"IIIIZ"
] | [
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666663,
0,
0.3333333333333333,
0.3333333333333335,
0.16666666666666666
] | 0.500327 | [
-0.8163654068421583,
-0.14851051851743777,
-0.6022334137506831,
0.47345362569291216,
0.7936560590557344
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -1.666666666666667,
"target_ratio": 0.97,
"target_value": -1.616666666666667
} | 140 |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"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}, {"source": ... | {"states": [5, 3], "expectation_value": -8.494853212473, "params": [[-0.0522, -0.030500000000000003, -0.029900000000000003, 0.0671], [0.0712, 0.059300000000000005, 0.0666, 0.0055000000000000005]], "bitstrings": ["111010", "111100"], "total_optimization_steps": 10, "probabilities": [0.03884820274592722, 0.03982691933832... | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"], "largest_eigenvalue": 70.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.6230010565610689) q[0];
rz(0.06856754591903558) q[0];
rx(0.05228651755820995) q[1];
rz(0.2247192988641979) q[1];
rx(0.623001056561069) q[2];
rz(0.422733719531101) q[2];
rx(-0.04142085028007082) q[3];
rz(0.5561544826034971) q[3];
rx(0.03278011693440643) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"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,
2.5,
2.25,
2.25,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
-5.75,
-6.25,
-6,
-6,
-5.5,
-5.5
] | 0.972312 | [
0.623001056561069,
0.312284130557242,
0.05228651755820995,
0.2247192988641979,
0.422733719531101,
-0.04142085028007082,
0.5561544826034971,
0.03278011693440643,
0.14994131830223134,
0.8695450938462626,
1.3203077449435106,
-0.04661008090570343,
0.2783265346359588,
0.09648654899272954,
1.0... | {
"n_parameters": 113,
"n_qubits": 10,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 27 |
ce412ec359df7cf1ad46bc0c2b9d3cdf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [2122, 2123], "expectation_value": -137.21724361725268, "params": [[0.7895000000000001, -0.007500000000000001, 0.0053, -0.0055000000000000005, -0.06280000000000001, 0.6345000000000001, 0.0024000000000000002, -0.0038, 0.643, -0.019, 0.7225, -0.17200000000000001], [0.7895000000000001, -0.0021000000000000003, -... | 8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(2) @ Z(8)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(10) @ Z(8)) + 8.5 * (Z(3) @ Z(11)) + 0.5 * Z(1) + 10.0 * Z(0) + 8.0 * Z(5) + -4.0 * Z(4) + -6.5 * Z(7) + 12.5 * Z(9) + 14.5 * Z(8) + ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-147.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -130.0, "smallest_bitstrings": ["011110110100"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.931602579199238) q[0];
ry(-0.006017915586899027) q[1];
ry(0.10991302080974057) q[2];
ry(-0.11401374707721396) q[3];
ry(0.055181169502851304) q[4];
ry(0.649845688450517) q[5];
ry(-0.06982692930036494) q[6];
ry(-0.04730254420583217) q[7];
ry(0.8016402138035522) 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, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIZZIIII",
"IIIIZIZIIIII",
"IIZIIIIIIIIZ",
"IIZZIIIIIIII",
"IIIZIIIIIZII",
"IZIIIIIIIIZI",
"IZZIIIIIIIII",
"IZIZIIIIIIII",
"ZIIIIIIIZIII",
"IIIIIIIIIIZI",
"IIIIIIIIIIIZ",
"IIIIIIZIIIII",
"IIIIIIIZIIII",
"IIIIZIIIIIII",
"IIZIIIIIIIII",
"IIIZIIIIIIII",
"IIIIIIIII... | [
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
8.5,
0.5,
10,
8,
-4,
-6.5,
12.5,
14.5,
-8,
18,
1.5,
-7,
-14.5
] | 0.978531 | [
0.931602579199238,
-0.006017915586899027,
0.10991302080974057,
-0.11401374707721396,
0.055181169502851304,
0.649845688450517,
-0.06982692930036494,
-0.04730254420583217,
0.8016402138035522,
0.04756982118861067,
0.759159075083576,
-0.20864494282808943,
-0.06836665356114842,
-0.0504155378927... | {
"n_parameters": 58,
"n_qubits": 12,
"optimal_eigenvalue": -147,
"target_ratio": 0.97,
"target_value": -142.59
} | 19 |
d32bae70887cbda0fd64e6ae105154d4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -33.9789223723798, "params": [[0.0206, -0.0009000000000000001, -0.0023, -0.0099], [-0.0847, -0.0746, -0.053200000000000004, -0.028300000000000002]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0063904463312770415, 0.0080750471... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100100011"], "largest_eigenvalue": 189.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1621346981994899) q[0];
rz(1.219855244128853) q[0];
rx(1.49996168361611) q[1];
rz(0.012973842691636614) q[1];
rx(1.8224941963463162) q[2];
rz(0.11473252339454168) q[2];
rx(0.35557846104245544) q[3];
rz(0.4777493280871876) q[3];
rx(1.7783067709589961) q[4];
rz(0.100... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZZIIIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIIZI",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
6.5,
3.5,
22.5,
13,
21,
23.5,
21.5,
1,
4.5
] | 0.975155 | [
0.1621346981994899,
0.8907909437276,
1.49996168361611,
0.012973842691636614,
1.8224941963463162,
0.11473252339454168,
0.35557846104245544,
0.4777493280871876,
1.7783067709589961,
0.10092441617979156,
1.4152144998462595,
-0.06409716579262772,
1.6293285773649606,
0.15823143802141262,
0.028... | {
"n_parameters": 53,
"n_qubits": 9,
"optimal_eigenvalue": -91,
"target_ratio": 0.97,
"target_value": -88.27
} | 13 |
369573ac9490fc7ab9a36c7a904e7496 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [0, 127], "expectation_value": -15.599172429555974, "params": [[[0.0025, 1.6106], [0.0026000000000000003, 0.0025], [-0.0025, 0.002], [0.0026000000000000003, -0.0026000000000000003], [0.0021000000000000003, 0.0026000000000000003], [0.0021000000000000003, 0.0017000000000000001], [-0.0024000000000000002, -1.086... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 ... | 15 | 7 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000", "0000011"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.6525704067242061) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.6525704067242061) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.8240047301266709) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.6525704067242061) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x3) q... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"ZIIIIII",
"IZIIIII"
] | [
-2.5,
-2.5,
-2,
-2.5,
1,
-2.5,
-2.5,
0.5,
1,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.590178 | [
0.6525704067242061,
0.8240047301266709,
0.340153314919354,
-0.016197762911337572,
1.3967282714390457,
0.6285039674948997,
0.9879402835654731
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 199 |
229f9e6a44e25021bf9944e20b56f26b | 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": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 8}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [936, 940], "expectation_value": -2.487332464654077, "params": [0.8106, 0.0032, 0.8022, 0.004, 0.8106, -0.0038, 0.8121, 0.0066, 0.8026000000000001, -0.0086, 0.8022, 0.0044, 0.29550000000000004, -0.2584, 0.2924, 0.0002, 0.8042, -0.0038, 0.8046000000000001, 0.0097, 0.7142000000000001, -0.0591, 0.7137, 0.0098, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(8) + 0.0 * Z(1) + -1.0 * Z(9) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + -0.5 * Z(5) + ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001010011", "0011010010", "0001000111"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.3152702776107483) q[0];
rz(-0.02384368083653854) q[0];
rx(1.315270277610748) q[1];
rz(-0.028946730538348897) q[1];
cx q[1], q[0];
rz(0.14144335407340614) q[0];
cx q[1], q[0];
rx(1.551930767743006) q[0];
rz(-0.18067476026637547) q[0];
rx(1.8016932394940597) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IZIIIIIIIZ",
"IZIIIIIIZI",
"ZZIIIIIIII",
"ZIIIIIIZII",
"IIIZIIZIII",
"IZIIIZIIII",
"ZIIIZIIIII",
"IIZIZIIIII",
"IIIIIIZIII",
"IIIIIIIIIZ",
"IZIIIIIIII",
"IIIIIIIIZI",
"ZIIIIIIIII",
"IIIIIIIZII",
"IIIZIIIIII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII"
] | [
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,
-1,
0,
0,
0,
-0.5,
0
] | 0.975333 | [
1.315270277610748,
0.11759967323686757,
-0.028946730538348897,
1.2686122083151057,
-0.07264863927359741,
0.0949334170067839,
-0.3645510527095236,
1.8781924451255287,
-0.024231653310374718,
-0.6276052304623745,
1.2280018107700361,
0.3850626129911918,
1.4116836910453714,
-0.10552565597880748... | {
"n_parameters": 44,
"n_qubits": 10,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 31 |
d25f70863e3ba8ac9ae1ac12d423fac9 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [332, 348], "expectation_value": -5.257584496487924, "params": [[[1.4778, 0.0002], [1.7052, 0.0076], [-0.0026000000000000003, 0.0045000000000000005], [1.7040000000000002, 0.0005], [0.2333, 0.0001], [1.6516000000000002, 0.009000000000000001], [1.7126000000000001, 0.0018000000000000002], [1.7052, 0.00240000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["0110110001", "1010100011", "0010110011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.03244269365511353) q[0];
rz(0.5680462509413906) q[0];
rx(3.220683401931545) q[1];
rz(-1.8096835597304715) q[1];
rx(0.2415436010161095) q[2];
rz(-1.4626552418291694) q[2];
rx(3.468250701477306) q[3];
rz(0.7110518283124859) q[3];
rx(0.09584445683762145) q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIIIIIIZZI",
"IZIIZIIIII",
"IZIIIIIZII",
"IZIIIIIIZI",
"ZIIIIIIZII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIIZZII",
"ZIIIIIZIII",
"IIZIIIIZII",
"IZIIIZIIII",
"ZIIIIZIIII",
"IIIIIZZIII",
"IIIZIZIIII",
"IIIIZIIIII",
"IIIIIIIIIZ",
"IIIIIIIZII",
"IIIIIIIIZI",
"IZIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-2,
-1,
-2,
-2,
-1,
0,
-1.5,
0
] | 0.973229 | [
0.03244269365511353,
0.5680462509413906,
3.220683401931545,
-1.8096835597304715,
0.2415436010161095,
-1.4626552418291694,
3.468250701477306,
0.7110518283124859,
0.09584445683762145,
-0.336270061769087,
3.6946873428803775,
-1.2316140692356234,
3.0199126077650065,
2.319022480321429,
0.3948... | {
"n_parameters": 19,
"n_qubits": 10,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 42 |
97e359edb03931ec167922719eaf9db2 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.007078751540901901, "params": [[-0.040600000000000004], [0.0438]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.570135364471764e-05, 1.5701353644717647e-05], "optimization_time": 13.041869640350342} | 0.25 * (Z(0) @ Z(1)) + -0.00075 * (Z(2) @ Z(0)) + -0.00075 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ Z(0)) + -0.00050000000000000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0232499999999742], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023249999999951, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.0149999999999646} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.2376858432256825) q[0];
rz(-0.05495760857254903) q[0];
rx(-1.556897621097042) q[1];
rz(-0.05319227686067406) q[1];
rx(3.2643052268136024) q[2];
rz(0.0828683636583245) q[2];
rx(-1.3411514991045226) q[3];
rz(-0.01456670440382359) q[3];
rx(3.163477954271609) q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.00075,
-0.00075,
0.25,
0.00025000000000000006,
-0.00075,
0.00025000000000000006,
-0.00075,
0.25,
-0.0008749999999999999,
-0.0005000000000000001,
-0.0008749999999999999,
-0.0008749999999999999,
-0.0005000000000000001,
-0.0008749999999999999,
0.25,
0.00012500000000000003,
0.... | 0.985937 | [
3.2376858432256825,
-0.05495760857254903,
-1.556897621097042,
-0.05319227686067406,
3.2643052268136024,
0.0828683636583245,
-1.3411514991045226,
-0.01456670440382359,
3.163477954271609,
0.013134715945305148,
1.5889917897985717,
0.2469886356713712,
3.1179554487308945,
0.08247483357747498,
... | {
"n_parameters": 29,
"n_qubits": 16,
"optimal_eigenvalue": -2.023249999999964,
"target_ratio": 0.97,
"target_value": -1.962552499999965
} | 1 |
5bc78a9816f2c03845e7828d57699688 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [178, 434], "expectation_value": -3.4896964610403374, "params": [1.6045, 0.0094, 1.614, 0.002, -0.0024000000000000002, 0.0011, 1.6098000000000001, 0.0083, 1.6102, 0.004200000000000001, 0.528, 0.0039000000000000003, 0.3634, 0.0088, 1.6132, 0.0005, -0.0011, 0.0011, 0.0019, 0.0035, 0.0051, 0.0063, 0.0073, 0.008... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(8) + -0.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["001001101"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(2.7860613902721263) q[0];
rz(0.21298211331686456) q[0];
rx(2.9000418471384455) q[1];
rz(0.26482931074723615) q[1];
rx(0.2088220119260906) q[2];
rz(-0.1690635978220607) q[2];
rx(2.9561413855577103) q[3];
rz(-0.21340414523278106) q[3];
rx(-3.0594798070647506) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"ZIIIIIZII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"IIZIZIIII",
"ZIIIIZIII",
"IIZIIZIII",
"ZZIIIIIII",
"IZIZIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIIIZIII",
"IZIIIIIII"
] | [
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,
-1.5,
-0.5,
0,
-0.5,
-1,
-0.5,
-0.5
] | 0.982634 | [
2.7860613902721263,
-0.016560767601823283,
2.9000418471384455,
0.1392834208464347,
0.20882201192609065,
0.020755096912514315,
2.9561413855577103,
-0.015762745082217262,
3.223705500114836,
0.35275929348186513,
0.04742859501852695,
0.1157730267892243,
-0.12596457285258497,
0.7544257803361066... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 19 |
5a8eac0760a558d4174437be478ec0aa | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -0.20044305640957003, "params": [[-0.0181, -0.058, -0.0748], [-0.024, 0.0492, 0.065]], "bitstrings": ["1011", "0111"], "total_optimization_steps": 10, "probabilities": [0.07253031733279623, 0.07253031733279625], "optimization_time": 1.5510892868041992} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZIZ",
"ZIZI",
"IIIZ",
"IIZI",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-1,
-1
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
1ae843d4c44e78f51f3685f30f13e727 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 2}, {"capac... | {"states": [511, 1], "expectation_value": -0.272289488506518, "params": [[-0.031400000000000004], [0.025400000000000002]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011070411825753555, 0.001110706710114089], "optimization_time": 10.492979288101196} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(7)) + -2.75 * (Z(2) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -2.5 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(8)) + -1.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.2813594345176579) q[0];
cx q[4], q[0];
h q[5];
h q[6];
h q[7];
cx q[4], q[7];
rz(0.40577933343631073) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(0.34133820979892426) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.507354... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIZIIIIIIZ",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIIIIIIZZI",
"IZIIIZIIII",
"IZZIIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IIZIIIZIII",
"IZIIIIZIII",
"IIIZIZIIII",
"IIIZIIIZII",
"IZIZIIIIII",
"IIIZIIZIII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"ZIIIIIIIIZ"... | [
-0.25,
-0.75,
-1,
-1.5,
-0.75,
-2.75,
-0.25,
-0.5,
-0.75,
-1.5,
-2.5,
-1.75,
-1.25,
-0.5,
-0.25,
-1.5,
-1,
-1.25,
-0.25,
1.5,
-0.5,
-0.5,
1,
-0.25,
-2.75,
-0.5,
0.5,
0.25,
2.75,
-1.5,
0,
0.5
] | 0.504789 | [
0.2813594345176579,
0.40577933343631073,
0.34133820979892426,
0.5073548922079857,
0.9293779301746868,
0.2130118940831136,
0.3473553385710132,
0.6235597838268254,
0.5029896975416597,
-1.209214325040794,
0.1455362123455654,
-0.05400379077762787,
-0.14503714369161524,
-0.5199962906796705,
0... | {
"n_parameters": 16,
"n_qubits": 10,
"optimal_eigenvalue": -21.75,
"target_ratio": 0.97,
"target_value": -21.0975
} | 366 |
d33bc1e38a91534ccb33169ef0b03611 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [42, 45], "expectation_value": -0.24877512843515467, "params": [[-0.0776], [0.0741]], "bitstrings": ["1010101", "1010010"], "total_optimization_steps": 10, "probabilities": [0.008839680322711919, 0.009207840943863775], "optimization_time": 1.3078062534332275} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 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(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.1251468189592682) q[0];
rz(-0.14910931151278822) q[0];
ry(0.1931090250082294) q[1];
rz(0.8906908736248537) q[1];
cx q[1], q[0];
ry(-0.07653128982389744) q[0];
rz(0.9759822597761411) q[0];
ry(0.7240441025509706) q[1];
rz(-0.09699030525937063) q[1];
ry(0.914195958036... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIIZ",
"IIIZZII",
"ZIIIIIZ",
"ZIIIZII",
"IZIIZII",
"ZZIIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-1,
-1,
0
] | 0.970567 | [
0.1251468189592682,
-0.14910931151278822,
0.1931090250082294,
0.8906908736248537,
0.9141959580361719,
-0.20159325551699214,
-0.20511898902568937,
-1.0051648929287569,
1.5424885403455644,
0.11079567101696407,
0.8126566431225749,
0.5404654844320026,
0.18310061594619942,
-0.455330562430314,
... | {
"n_parameters": 62,
"n_qubits": 9,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 72 |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.26839780568773364, "params": [[-0.0779], [0.0782]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.01797312284056586, 0.018361526924847976], "optimization_time": 1.2415764331817627} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IIIZZI",
"IZIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1.5,
-0.5,
-0.5
] | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
fec8882ab40352f3ab53fa306e4fb958 | 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": [646, 678], "expectation_value": -47.32560432045679, "params": [[[0.5983, 0.3516], [0.0094, 0.2451], [0.6022000000000001, 0.5989], [0.0222, 0.5859], [0.6042000000000001, 0.38380000000000003], [0.1882, 0.5863], [-0.503, 0.3622], [-0.031200000000000002, 0.6032000000000001], [0.47040000000000004, 0.5969], [0.39... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 4.0 * Z(1) + 15.5 * Z(2) + 16.0 * Z(0) + 7.0 * Z(4) + 4.5 * Z(5) + 11.0 * Z(9) + 6.0 * Z(7) + 15.5 *... | 15 | 10 | 3 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["0101011001"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9300676791313779) q[0];
ry(-0.08264896071696481) q[1];
ry(1.1198290934171424) q[2];
ry(0.08832754610900626) q[3];
ry(1.090402835630126) q[4];
ry(0.2508711896704733) q[5];
ry(-0.08248561382643184) q[6];
ry(-0.21094407957935346) q[7];
ry(1.073176967385855) q[8];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZIIIZ",
"IIIIZZIIII",
"ZIIIIIIZII",
"ZIZIIIIIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIIZI",
"IIIIIIIZII",
"IIIIIIIIIZ",
"IIIIIZIIII",
"IIIIZIIIII",
"ZIIIIIIIII",
"IIZIIIIIII",
"IZIIIIIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
4,
15.5,
16,
7,
4.5,
11,
6,
15.5,
-12,
-8.5
] | 0.970281 | [
0.9300676791313779,
-0.08264896071696481,
1.1198290934171424,
0.08832754610900626,
1.090402835630126,
0.2508711896704733,
-0.08248561382643184,
-0.21094407957935346,
1.073176967385855,
-0.03155238720314329,
0.04339787225713155,
0.06741200616560283,
0.510073878527094,
0.5405376103818975,
... | {
"n_parameters": 60,
"n_qubits": 10,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 106 |
a8af5a844c6b7264f669c1b8b9005a26 | 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": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [123, 127], "expectation_value": -9.535691942848088, "params": null, "bitstrings": ["110000100", "110000000"], "total_optimization_steps": 58, "probabilities": [0.39358510964877785, 0.39358510964877785], "optimization_time": 62.005316495895386} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"], "largest_eigenvalue": 17.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.505009769555469) q[0];
h q[1];
ry(-1.6077441895945872) q[1];
h q[2];
ry(0.8284337385535052) q[2];
h q[3];
ry(0.7864209970508521) q[3];
h q[4];
ry(0.7766345099630225) q[4];
h q[5];
ry(0.8161067009306773) q[5];
h q[6];
h q[7];
ry(1.5259056825138972) q[7];
cx... | 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(-1.57) 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] = me... | [
"ZIIIIIIIZ",
"ZIIIIIZII",
"IIIIIZZII",
"IIIIIZIZI",
"IIIIZIIZI",
"IIZIZIIII",
"IIIZIIIZI",
"IIIZZIIII",
"ZZIIIIIII",
"IZIIIIZII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
0.25,
-1.5,
-0.5,
-0.25,
-1.5,
-0.5,
-1.5,
-1,
-0.75,
-1.5,
-2,
-0.25,
-0.5,
0.75,
-3.25,
1,
-0.5,
2.5,
2.25
] | 0.976042 | [
-1.6077441895945872,
1.5259056825138972,
1.6568674771070104,
1.6322134018613546,
1.5728419941017042,
1.553269019926045,
-1.010019539110938,
0.37603075659380614,
0.32506128830629594,
0.7422913414550457,
-0.5336589698862334,
-0.18940705976798117,
0.2422029102598407,
0.005366032189264451,
0... | {
"n_parameters": 22,
"n_qubits": 9,
"optimal_eigenvalue": -9.75,
"target_ratio": 0.97,
"target_value": -9.4575
} | 1 |
109dd65f843c7effe1b685156edca6d7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [5, 7], "expectation_value": -11.899445351905294, "params": [[[0.7901, 0.004], [0.9477000000000001, 0.0058000000000000005], [0.8036000000000001, 0.006900000000000001], [0.9435, 0.005], [0.9497000000000001, 0.0064], [1.5994000000000002, 0.0061], [1.5889, 0.003], [1.6009, 0.0029000000000000002]]], "bitstrings"... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.020614379663043705) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.020614379663043705) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.020614379663043705) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.020614379663043705) q[3];
cx q[1], ... | 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] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZIZII",
"IIIZZIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"ZIIZIIII",
"ZZIIIIII",
"IIZIIIZI",
"IIZIIII... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
2.75,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
2.75,
-7,
-7.5,
-7.25,
-7,
-7,
-6.5,
-6.5,
-6.25
] | 0.971073 | [
0.020614379663043705,
-0.06563921442885634,
-0.6869657315794282,
-1.4972446815351845,
-1.3570263320892326,
0.5300986815983618,
0.06960159444877413,
-0.23523052806335437,
-0.03648713290377981,
-0.028121845837364642,
-0.9009106158759526,
-0.10227264967403488,
-0.5108808338805213,
0.830325209... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 70 |
1c9f0aa80e0354120d0d9a354ab113f1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [255, 254], "expectation_value": -32.17869797584132, "params": [[[-0.532, 2.8861000000000003], [0.0025, 0.24780000000000002], [-0.0028, 0.0026000000000000003], [0.0021000000000000003, 0.0023], [0.002, 0.002], [0.0022, 0.002], [-1.6152, 0.0026000000000000003], [-0.003, 0.0026000000000000003]]], "bitstrings": ... | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 1.5... | 15 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.03855666661110178) q[1];
h q[2];
ry(0.2677307257938226) q[2];
h q[3];
ry(0.25063243253677403) q[3];
h q[4];
h q[5];
cx q[5], q[2];
ry(-0.2677307257938226) q[2];
cx q[5], q[2];
cx q[2], q[3];
ry(-0.25063243253677403) q[3];
cx q[2], q[3];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIIZZII",
"IIIIZIIZ",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIIIIZ",
"IIZIIIZI",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZ... | [
-3,
-3,
0.5,
-3.5,
0.5,
-3,
-3.5,
0.5,
-3,
1.5,
-3.5,
0.5,
-3,
-2.5,
1.5,
1.5,
1.5,
-3,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971657 | [
0.5354614515876452,
0.5012648650735481,
-0.07711333322220355,
0.09512343386160421,
-0.17784540647028296,
1.9383875530744048,
-0.3900224980018612,
0.25716625659837133,
0.8700985159750708,
0.8250013057753991,
0.03997913392777849,
-0.14346728740037137,
1.5500043128553398,
-0.02787916009918097... | {
"n_parameters": 62,
"n_qubits": 8,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 124 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 42], "expectation_value": -0.25566869692689376, "params": [[-0.058100000000000006, -0.041600000000000005], [0.06470000000000001, 0.059000000000000004]], "bitstrings": ["001101", "010101"], "total_optimization_steps": 10, "probabilities": [0.019290582499242752, 0.01929058249924276], "optimization_time": ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} | [
"IIZIIZ",
"ZIIIIZ",
"IIZIZI",
"IIZZII",
"IIIZZI",
"IZZIII",
"ZZIIII",
"IIZIII",
"IIIIIZ",
"ZIIIII",
"IIIIZI",
"IIIZII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
1186289097642092593 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2], [1, 4, 9], [4, 7], [8, 9], [8, 3], [1, 3], [2, 5, 6], [0, 8]]} | {"states": [298, 314], "expectation_value": -3.2500179511032647, "params": [[-0.0024000000000000002, 1.5851000000000002, 0.0217, -0.0022, 1.5819, 0.09090000000000001, 1.5832000000000002, 0.0014, 1.5887, 0.3251], [0.18580000000000002, 1.5822, 0.5761000000000001, 0.1822, 1.5867, 1.599, 1.5878, 0.2485, 1.5651000000000002,... | 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["1011000101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.0540424275106693) q[0];
ry(1.2864823894745543) q[1];
ry(-0.06150038631385074) q[2];
ry(0.023246578677988614) q[3];
ry(1.5347595821911606) q[4];
ry(-0.10327323905183375) q[5];
ry(1.4467743435538227) q[6];
ry(0.08405647124392587) q[7];
ry(1.5440419805455263) q[8];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IZIIIIIZII",
"IIIIIZIIZI",
"ZZIIIIIIII",
"ZIIIIZIIII",
"ZIIIIIIIZI",
"IIZIIZIIII",
"IZIIIIZIII",
"IIIIIIZIZI",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IZIIIIIIIZ",
"IIIIIIIZII",
"IZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIIZI",
"ZIIIIIIIII",
"IIZIIIIIII",
"IIIIIIZIII",
"IIIIZIIIII"... | [
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666663,
0,
0.16666666666666663,
0.16666666666666663,
0.16666666666666663,
0,
0,
0.16666666666666666,
0.1666... | 0.971874 | [
0.0540424275106693,
1.2864823894745543,
-0.06150038631385074,
0.023246578677988614,
1.5347595821911606,
-0.10327323905183375,
1.4467743435538227,
0.08405647124392587,
1.5440419805455263,
0.004568777768679824,
-0.1115386082501741,
1.9960092486027414,
0.10623987019838638,
0.16364105404555568... | {
"n_parameters": 20,
"n_qubits": 10,
"optimal_eigenvalue": -3.6666666666666665,
"target_ratio": 0.97,
"target_value": -3.5566666666666666
} | 27 |
-1432121138008864500 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 5, 8, 9], [0, 1, 3], [0, 8, 11, 3], [0, 1, 4, 5, 10], [9, 2, 11, 4], [9, 7], [10, 11], [11, 3, 7], [0, 3, 4, 5, 6, 7, 8], [1, 2, 3, 5, 11], [9, 3, 4, 5], [10, 6], [1, 11, 6], [0, 1, 5, 8, 9, 11], [0, 9, 4, 6]]} | {"states": [2405, 2917], "expectation_value": -4.148552994835635, "params": [[[3.1386000000000003, 0.0077], [0.0023, 0.0011], [1.6495000000000002, 0.0022], [3.1394, 0.0045000000000000005], [0.3372, 0.008400000000000001], [3.1394, 0.0039000000000000003], [3.1394, 0.006], [-0.0028, 0.0089], [-0.0025, 0.007800000000000000... | 0.2833333333333333 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(1)) + 0.14047619047619048 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.1738095238095238 * (Z(8) @ Z(0)) + 0.0333333333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.242857142857144], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.059523809523808, "smallest_bitstrings": ["010010011010"], "largest_eigenvalue": 13.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1014633483491236) q[0];
rz(0.04694295011214627) q[0];
rx(-0.09543031925493015) q[1];
rz(-0.08337794556106182) q[1];
rx(1.5281628558569862) q[2];
rz(0.07843565009186389) q[2];
rx(3.2068247591795176) q[3];
rz(-0.08235722653825292) q[3];
rx(0.23858059596586706) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIZIIIIIIZI",
"IIIZIIIIIIIZ",
"IIIZIIIIIZII",
"IIIZIIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIIIIIZ",
"IIZIIIIIIZII",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZ... | [
0.2833333333333333,
0.08333333333333334,
0.03333333333333333,
0.16666666666666669,
0.14047619047619048,
0.08333333333333334,
0.06666666666666667,
0.1738095238095238,
0.03333333333333333,
0.09047619047619047,
0.06666666666666667,
0.15,
0.11666666666666667,
0.15,
0.06666666666666667,
0.2... | 0.974268 | [
3.1014633483491236,
0.04694295011214627,
-0.09543031925493015,
-0.08337794556106182,
1.5281628558569862,
0.07843565009186389,
3.2068247591795176,
-0.08235722653825292,
0.23858059596586706,
-0.0015886057747170855,
0.03322454634713194,
0.019356993509008304,
-0.01611700477525505,
-0.087122540... | {
"n_parameters": 22,
"n_qubits": 12,
"optimal_eigenvalue": -4.242857142857144,
"target_ratio": 0.97,
"target_value": -4.115571428571429
} | 1 |
9800d678f4921072509903db27fda1fd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [239, 207], "expectation_value": -3.086231998656059, "params": [0.001, 0.4228, 0.07350000000000001, -0.3009, 0.7058, -0.129, 0.6975, 0.0112, 0.3468, 0.1952, 0.0112, 0.4247, 0.6907, 0.2539, 0.6941, -0.0472, 0.6930000000000001, -0.0049, 0.6933, 0.0792, -0.008400000000000001, 0.5237, 0.0675, -0.3035, 0.7018, -0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 16 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100001001", "1101001000", "1100010001", "1100010010", "1000110100", "1100011000", "1001001100", "1100110000"], "largest_eigenvalue": 6... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.003664829923675055) q[0];
rz(-0.4729373673760757) q[0];
rx(-0.09675898262381692) q[1];
rz(0.7330296658900083) q[1];
cx q[1], q[0];
rz(0.3052492135697453) q[0];
cx q[1], q[0];
rx(0.08064200259805002) q[0];
rz(-0.09279316689706274) q[0];
rz(0.36141341688818923) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIIZIZI",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZZI",
"IIIIIZIZZI",
"IIIIIZZIZI",
"IIIIIZZZII",
"IIIIIZZZZI",
"IIIZZIIIII",
"IIZIIIIIZI",
"IIIIIIIZIZ",
"IIZIIIIIIZ",
"IZIIIIIIIZ",
"IIZIIIIZII",
"IZIIIIIZII",
"IZZIIIIIII",
"IIZIIIIZIZ"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
... | 0.972962 | [
0.0036648299236750545,
-0.1676881538063303,
-0.09675898262381692,
0.7330296658900083,
1.3999162331038009,
0.34271849329744036,
1.4470363710902063,
-0.13704858272599035,
-0.10910329165344018,
0.37632417666727835,
0.08130780559173567,
0.775343707190899,
1.55693768215877,
0.5263793025165554,
... | {
"n_parameters": 57,
"n_qubits": 10,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 15 |
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