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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8686974921634681066 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 5], [0, 4, 5, 7], [8, 1, 4], [2, 6, 7], [3, 4]]} | {"states": [220, 476], "expectation_value": -1.8758265721606147, "params": [[[1.5917000000000001, -0.9869, 0.0041, 0.0068000000000000005], [0.0027, 0.9873000000000001, 0.0027, 0.0012000000000000001], [1.5736, -0.0022, 1.5678, 0.006900000000000001], [1.5689000000000002, 0.0027, 1.5771000000000002, 0.0006000000000000001]... | 0.5 * (Z(8) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(... | 11 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666672], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666667, "smallest_bitstrings": ["000100011"], "largest_eigenvalue": 3.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.6791675724219584) q[0];
rz(-0.9567279703363658) q[0];
ry(0.003692598308564665) q[1];
rz(0.9304871919275013) q[1];
cx q[1], q[0];
ry(0.003692598308564665) q[1];
rz(0.06565796804633352) q[1];
ry(1.6196068988062702) q[2];
rz(-0.03633607505291976) q[2];
ry(1.5056645153... | OPENQASM 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": []} | [
"ZIIZIIIII",
"IIIZIIIIZ",
"IIIZZIIII",
"ZIIIZIIII",
"IIIIZIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"IZIIZIIII",
"ZIIIIIIZI",
"IIIIZIIZI",
"IZIIIIZII",
"IZZIIIIII",
"IIZIIIZII",
"IIIIZZIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIIIZII",
"... | [
0.5,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.1250000000000001,
0.16... | 0.970738 | [
1.6791675724219584,
-0.9567279703363658,
0.003692598308564665,
0.9304871919275013,
1.6196068988062702,
-0.03633607505291976,
1.5056645153381816,
1.4737756058568192,
-0.11032203941250104,
-0.02775437543624407,
1.1112527053942616,
1.57460075883273,
0.05700340541004967,
0.06328964589294972,
... | {
"n_parameters": 29,
"n_qubits": 9,
"optimal_eigenvalue": -1.9166666666666672,
"target_ratio": 0.97,
"target_value": -1.859166666666667
} | 4 |
05d141b5ffa8b0efeb584dec24db300e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [124, 126], "expectation_value": -10.083076029740829, "params": null, "bitstrings": ["0000011", "0000001"], "total_optimization_steps": 83, "probabilities": [0.1230626895642542, 0.3327174656255459], "optimization_time": 108.35888290405273} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.... | 5 | 7 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(0.6175168991613681) q[0];
h q[1];
ry(0.6175168991613681) q[1];
h q[2];
ry(0.7170279672910043) q[2];
h q[3];
ry(1.2718411954079134) q[3];
h q[4];
ry(-0.008350424287314147) q[4];
h q[5];
cx q[5], q[0];
ry(-0.6175168991613681) q[0];
cx q[5], q[0];
cx q[0], q[2];... | null | {"node": 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];\ncry(1.5708) q[5], 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]... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"IIIZIIZ",
"IIIZZII",
"IIZZIII",
"IZIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-2.5,
0.5,
-3,
0.5,
-3,
-2.5,
0.5,
-3,
-2.5,
-2.5,
1.5,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.964971 | [
1.2350337983227362,
1.4340559345820085,
-0.016700848574628294,
3.2736901355508197,
-0.4354060914000313,
-1.4636202949221844,
1.718382336781574,
-0.11266460713756996,
1.4688016071875138,
-1.6053541257003932,
2.543682390815827,
-0.014658287014737606,
0.02751445716956589,
0.012138707165498029... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -27,
"target_ratio": 0.97,
"target_value": -26.189999999999998
} | 500 |
-7234343710640476918 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 3, 5, 6], [0, 5], [0, 3, 6], [4, 5], [0, 1, 4], [1, 4, 6], [3, 4]]} | {"states": [43, 85], "expectation_value": -0.05839697182468128, "params": [[-0.0695], [0.0736]], "bitstrings": ["1010100", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008501792790065982, 0.008556049309947808], "optimization_time": 2.1631901264190674} | 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666666, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 5.499999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.11624546065908868) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.11624546065908868) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.11624546065908868) q[3];
cx q[1], q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.11624546065908868) q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIZZII",
"IIIZIZI",
"IZIIZII",
"IZIIIZI",
"IZIZIII",
"ZIIIZII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIIZZ",
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIZIIZI",
"IIZZIII",
"IZZIIII",
"ZIZIIII",
"IIZIIIZ",
"IIIIZII",
"IIIIIZI",
"IIIZIII",
"IZIIIII",
"ZIIIIII",
"III... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.21666666666666667,
0.21666666666666667,
0.05,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.5,
0.16666666666666666,
0.16666666666666666,
0.1,
0.43333333333333335,
0.2666666666666666... | 0.55329 | [
0.11624546065908868,
-0.13408262017746997,
0.03561268987709371,
-0.9251874104137098,
-0.20034760825334402,
0.11089234583554272,
-1.347629700268183,
0.03723870692624635,
0.8897353170726549
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -2.5000000000000004,
"target_ratio": 0.97,
"target_value": -2.4250000000000003
} | 213 |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.10741910432601344, "params": [[-0.0257, -0.028900000000000002, -0.0339, -0.0611], [0.0234, 0.0245, 0.030600000000000002, 0.0538]], "bitstrings": ["110", "101"], "total_optimization_steps": 10, "probabilities": [0.1345500651817636, 0.13455006518176366], "optimization_time": 2.6... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[1] q;
rz(2.6652466560128794) q[0];
ry(0.015534336535229091) q[0];
rz(-2.4994394359393826) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IZZ",
"ZZI",
"ZIZ",
"IZI",
"IIZ",
"ZII"
] | [
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5
] | 0.999879 | [
-0.13358933430461783,
0.05925579854844312,
0.1941292476304146,
-0.0004540644499549003,
-0.07413458086647713,
0.10747849798655963
] | {
"n_parameters": 6,
"n_qubits": 1,
"optimal_eigenvalue": -1,
"target_ratio": 0.97,
"target_value": -0.97
} | 1 |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 21], "expectation_value": -2.9965156550505325, "params": null, "bitstrings": ["101001", "101010"], "total_optimization_steps": 18, "probabilities": [0.06700924257653981, 0.9297458928351173], "optimization_time": 12.436173439025879} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIZIIZ",
"IIIZZI",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIZIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
0,
0,
0
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
238da0afcff22b3cc95b712a7ad70447 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [371, 237], "expectation_value": -0.015013323770784046, "params": [[0.0097, -0.033600000000000005, 0.0329], [-0.0335, 0.0302, -0.0188]], "bitstrings": ["010001100", "100010010"], "total_optimization_steps": 10, "probabilities": [0.002025072056900213, 0.002025072056900214], "optimization_time": 14.06867766380... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.15400852379458427) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.15400852379458427) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.15400852379458427) q[1];
cx q[2], q[1];
h q[3];
cx q[3], q[0];
rz(0.15400852379458427) q[0];
cx q[3], 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] 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": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIZIZI",
"IIIIIZZII",
"IIIIIIZZZ",
"IIIIIZIZZ",
"IIIIIZZIZ",
"IIIIIZZZI",
"IIIIIZZZZ",
"IIIZZIIII",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIIIZIZII",
"IIZIIIZII",
"ZIIIIIZII",
"IIZIZIIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIZIZIZII",
"... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
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,
-0.12... | 0.699923 | [
0.15400852379458427,
-0.16652351332765766,
0.9539397028763626,
1.06600767204121,
-0.6690269654905423,
0.34760366534217846,
-0.3361262054812998,
1.1832235155449329,
-0.26439160478237117,
-0.374497929541955
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 323 |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [33, 1], "expectation_value": -2.432761878207023, "params": [[-0.0523, -0.0776], [0.0625, 0.07060000000000001]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01653219043257204, 0.019958444530583704], "optimization_time": 2.596605062484741} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 2 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 17.75} | 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(-0.17213197499966565) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.07476442289212104) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.47901700998870134) q[4];
cx q[3], q[4];
rz(0.3504210231928404) q[3];
rx(0.01985686519069... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIIIZI",
"IIIZZII",
"IZIIZII",
"IIIIZZI",
"IIZZIII",
"IZZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
-1.5,
-1.25,
3,
-0.25,
-0.25,
-0.5,
-2,
-0.5,
-1.25,
-0.75,
-2.25,
-0.25,
0.75,
3,
1.25,
-2.5,
0
] | 0.970352 | [
-0.17213197499966565,
-0.00464843643423988,
0.009698808451135995,
0.07476442289212104,
-0.47901700998870134,
0.02577905338994005,
-0.24727051080343204,
0.3504210231928386,
0.3119955203211965,
-0.8454856564029164,
0.2802866890985153,
-0.36926583491198095,
0.01985686519069632,
0.143665584847... | {
"n_parameters": 46,
"n_qubits": 7,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 130 |
7203b0dd22c47919131561d597fd7a8a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [17, 1], "expectation_value": -2.0890862870390112, "params": [[-0.051800000000000006, -0.0618, -0.0408], [0.046, 0.06470000000000001, 0.0637]], "bitstrings": ["111101110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00569263528957234, 0.006376820939199405], "optimization_time": 5.108850... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(0)) + 2.25 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111110", "111101110"], "largest_eigenvalue": 13.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.6261433409579646) q[0];
h q[1];
ry(-1.6261433409579646) q[1];
h q[2];
ry(-1.6261433409579646) q[2];
rz(-pi) q[3];
ry(-0.003475474137040734) q[3];
h q[4];
h q[5];
ry(-1.6261433409579646) q[5];
h q[6];
ry(-1.6261433409579646) q[6];
ry(-0.11685501828103699) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIZIIIZII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIIIZI",
"IZIIIIZII",
"IZIIIZIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIZIIIII",
"IZIIIIIII",
"IIIIZIIII"
] | [
-1,
-0.25,
-0.25,
-0.75,
2.25,
-0.25,
-0.75,
-0.75,
-1,
-0.25,
-0.5,
-1,
-1.25,
-0.25,
0,
-1,
2.25,
-0.5,
-1,
0.25,
1.5
] | 0.997034 | [
1.5924862099504202,
-1.6261433409579646,
-1.5138906424613596,
-1.5345727500490354,
-0.07939810176580403,
0.11989866789499973
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 1 |
f6cdf6caae833c575489bb2b7a623058 | 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": 4}, {"source": 2, "target": 5}, ... | {"states": [99, 106], "expectation_value": -4.4998837594657655, "params": null, "bitstrings": ["0011100", "0010101"], "total_optimization_steps": 31, "probabilities": [1.641381075984253e-05, 0.9999151790540868], "optimization_time": 25.113107919692993} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010101"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-3.124759052725892) q[0];
rz(-pi) q[0];
ry(-3.0854626450991742) q[1];
rz(-pi) q[1];
ry(-0.03369902748015139) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4369841717910352) q[3];
ry(-0.03369902748015139) q[4];
rz(-pi) q[4];
h q[5];
ry(1.504625431852586) q[5];
cx q[5], q[0];
ry(-0... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IIZIIIZ",
"ZIIIIIZ",
"ZIZIIII",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIZIIII",
"ZIIIIII",
"IIIIIZI",
"IZIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1,
-1,
-0.5,
0,
0
] | 0.995276 | [
-1.5205674065543304,
-1.4762215588150907,
1.504625431852586,
1.4369841717910352,
-0.10005583704498788,
0.23395710827992075,
0.2788948906500424,
0.02008177290338363,
0.0009735704753418978,
-0.03305978552082959,
-0.11837486768070965
] | {
"n_parameters": 11,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
ec174129426dc2a5488500e208d8ad31 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [33, 1], "expectation_value": -0.6693685351760599, "params": [[-0.0528], [0.0684]], "bitstrings": ["111011110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0027407938421776523, 0.0027583235572541413], "optimization_time": 7.019917964935303} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -1.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(4)) + 2.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -1.0 * (Z(8) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.75, -14.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.75, "smallest_bitstrings": ["111011110", "111111110"], "largest_eigenvalue": 13.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.0865029172582652) q[0];
rz(-0.2141443016705451) q[0];
rx(-0.07233080458485758) q[1];
rz(0.256349069533087) q[1];
rx(-0.07233080458485758) q[2];
rz(0.6177150680525187) q[2];
rx(-0.2500842146096483) q[3];
rz(0.3065627270703608) q[3];
rx(-0.040957261983769075) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIZIIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IZIIIIIZI",
"IZIZIIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIZZIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZIIIIZIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IIZIIIIII",
"IIIZIIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-1,
-1.5,
-1,
-0.5,
-1,
-1,
-0.5,
-0.75,
-1.5,
-0.25,
-1.25,
2.75,
-0.25,
-1,
0,
-0.25,
1.75,
-0.25,
-1,
-1.25,
-0.75,
0.25,
1.5
] | 0.977936 | [
0.08650291725826519,
0.03157358332552257,
-0.07233080458485759,
0.5629637848307943,
0.822338516599668,
-0.25008421460964836,
0.5945378558733566,
-0.040957261983769075,
0.7376307571480558,
-0.001417798277790136,
-0.8003556554162172,
0.14709029221359746,
0.8383848768762762,
0.478523199964054... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -14.75,
"target_ratio": 0.97,
"target_value": -14.3075
} | 8 |
08b0cbf4dac1f991b95c2f432664a22c | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [21926, 21930], "expectation_value": -1.7176861241006303, "params": null, "bitstrings": ["1010101001011001", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.12507748770690183, 0.2731739997139966], "optimization_time": 971.5289618968964} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000375 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.000375 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.022999999999947], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229999999998913, "smallest_bitstrings": ["1010101001010101"], "largest_eigenvalue": 2.01824999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(3.1105679046873593) q[0];
rz(-0.05121846279679204) q[0];
rx(-1.5971079581578476) q[1];
rz(0.16080537915593981) q[1];
rx(3.1951286532249417) q[2];
rz(-0.03541805135246324) q[2];
rx(-1.6252803044215243) q[3];
rz(-0.1633419734076561) q[3];
rx(3.208166104537925) q[4];
r... | null | {"communities_size": 4, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\ncry(-0.5938) q[10], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0008749999999999999,
-0.0008749999999999999,
0.25,
0.000375,
-0.0010000000000000002,
0.000375,
-0.0010000000000000002,
0.25,
-0.0008749999999999999,
0.00025000000000000006,
-0.0010000000000000002,
-0.0008749999999999999,
0.00025000000000000006,
-0.0010000000000000002,
0.25,
... | 0.98822 | [
3.1105679046873593,
-0.05121846279679204,
-1.5971079581578476,
0.16080537915593981,
3.1951286532249417,
-0.03541805135246324,
-1.6252803044215243,
-0.1633419734076561,
3.208166104537925,
0.17264989740211875,
1.7013681916917631,
0.11511974923429305,
3.1520236012807725,
0.014198456940397305,... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.022999999999971,
"target_ratio": 0.97,
"target_value": -1.9623099999999716
} | 1 |
e1ee122704659894b3696f576081a2cf | 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": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [217, 218], "expectation_value": -42.26491461623393, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.1663030096086743, 0.18861779229297382], "optimization_time": 191.45517539978027} | 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(... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) 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",
"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 |
c342bef2de813f1345cbd4fd6b87e999 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 7, "source": 0, "target": 1}, {"capacity": 7, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [27, 1], "expectation_value": -5.963677267374528, "params": [[0.0655, 0.054900000000000004, 0.007500000000000001], [-0.0697, -0.0548, -0.0323]], "bitstrings": ["11100100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013655160388527151, 0.01808551578865203], "optimization_time": 4.4467897... | -1.75 * (Z(0) @ Z(1)) + -3.25 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(0)) + -1.5 * (Z(4) @ Z(1)) + -1.75 * (Z(4) @ Z(0)) + 5.5 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(4)) + -1.75 * (Z(5) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.25 * Z(1) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 27.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0832683964858586) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.04333263113339251) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0832683964858586) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.3245076564815849) q[4];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIIZ",
"ZIIZIIII",
"IIZIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1.75,
-3.25,
-1.75,
-1.5,
-1.75,
5.5,
-1.5,
-1.75,
-1.75,
-1.75,
-0.25,
-1.5,
-1.5,
-2.25,
-0.25,
0.25,
-1.5,
4,
-2,
1.75,
0
] | 0.935817 | [
0.0832683964858586,
-0.04333263113339251,
0.3245076564815849,
-0.20576754096395392,
0.6312116206380989,
0.8048710908471846,
0.6712060563960475,
-0.6980052307749317,
0.7479323714829692,
0.8056059620735309,
1.0163843547714837,
1.6167287627922624,
0.18033812340052247,
-0.07046647749020202,
... | {
"n_parameters": 23,
"n_qubits": 8,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 500 |
b575860502e0560613ed09a59a899ee7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [129, 193], "expectation_value": -13.523337985503977, "params": [-0.0143, -0.3403, 0.00030000000000000003, -0.4116, 0.3854, 0.10650000000000001, 0.3956, 0.0151, 0.2878, 0.0777, 0.27240000000000003, 0.0055000000000000005, 0.012400000000000001, -0.3371, 0.0039000000000000003, -0.37260000000000004, -0.0221, -0.... | -0.75 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(8) @ Z(2)) + 2.25 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-13.75, -13.75, -13.75, -13.75, -13.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -12.75, "smallest_bitstrings": ["100101000", "100100000", "100101100", "100101110", "100111110"], "largest_eigenvalue": 14.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.6747571563390294) q[0];
h q[1];
ry(1.5707963238176894) q[1];
h q[2];
ry(0.7853981619088447) q[2];
cx q[1], q[2];
ry(-0.7853981619088447) q[2];
cx q[1], q[2];
h q[3];
ry(-1.3495143126780589) q[3];
h q[4];
ry(0.5128520253092295) q[4];
ry(-0.1436995236604681)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIZIZIII",
"IIIZIIIZI",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"IZIIIZIII",
"IZZIIIIII",
"IZIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"IIIZIIIII",
"ZIIIIIIII",
"IIZIIIIII",
"... | [
-0.75,
-1.25,
-1,
-0.5,
-0.25,
-1,
2.25,
-1.25,
-1.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
-2.5,
2.5,
-0.5,
0,
-1.25,
1,
0.25
] | 0.944693 | [
1.5707963238176894,
-1.3495143126780589,
1.1712080563313636,
-0.1669381602266709,
0.37137860651958127,
-1.2833972152299074,
-1.646619630057409,
-0.47114339462441057,
0.028209621441536343,
1.025704050618459,
3.195662669943168e-8,
-0.25795750505028736,
0.5157535956890039,
8.828875549406355e-... | {
"n_parameters": 20,
"n_qubits": 9,
"optimal_eigenvalue": -13.75,
"target_ratio": 0.97,
"target_value": -13.3375
} | 407 |
b4764399bb7694871d7cf0cc7a871143 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "so... | {"states": [9, 13], "expectation_value": -9.24999636362305, "params": null, "bitstrings": ["10110", "10010"], "total_optimization_steps": 25, "probabilities": [1.8181884717417974e-06, 0.9999981818115276], "optimization_time": 15.414063930511475} | -1.0 * (Z(0) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -3.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(4) + 2.75 * Z(1) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10010"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.0026957957401774098) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.10581518505780388) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.11540216108184381) q[2];
cx q[3], q[2];
rz(0.4333108148961853) q[3];
rx(0.4323375606494058) q[... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZIIIZ",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
-1,
1.25,
-0.75,
-0.75,
-1.25,
-0.5,
-1.25,
-3,
-0.25,
0,
2.75,
0.5
] | 0.973046 | [
-0.0026957957401774098,
0.18039228660587642,
-0.10581518505780388,
0.11540216108184381,
0.21701496465636422,
0.4333108148961855,
0.3673365099505475,
-0.4099008906290893,
-0.6505096062879676,
-0.7080263566489183,
0.43233756064940576,
-0.1223249177971326,
-0.169718764529791,
-0.0048142708149... | {
"n_parameters": 41,
"n_qubits": 5,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 22 |
-8124763126179444229 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [3, 7], [0, 1], [2, 4], [5, 6]]} | {"states": [154, 139], "expectation_value": -2.2267257434467522, "params": null, "bitstrings": ["01100101", "01110100"], "total_optimization_steps": 60, "probabilities": [0.0569999775191226, 0.7378799277647321], "optimization_time": 75.8145101070404} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(6) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10110100", "01001101", "10100011", "10001101", "01110100", "01100011"], "largest_... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(-0.2843060802118721) q[1];
cx q[0], q[1];
ry(0.2843060802118721) q[1];
cx q[0], q[1];
ry(0.7889364699453559) q[0];
ry(-0.6795505951673434) q[1];
h q[2];
ry(-0.2843060802118721) q[2];
h q[3];
ry(-0.3872436932862716) q[3];
h q[4];
cx q[4], q[2];
ry(0.28... | 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[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] = me... | [
"IIIZZIII",
"IZIZIIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIIIZZ",
"IIIZIZII",
"IZZIIIII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666663,
0,
0,
0,
0,
0
] | 0.971691 | [
-0.5686121604237442,
1.0391849656083236,
-0.7916721818247654,
0.733944695351002,
-0.7744873865725432,
1.0698576606386982,
0.5221161887543121,
-0.6417701162406225,
0.6111872555080637,
-0.577083815974209,
0.2866744453735869,
0.5684872227812583,
-0.5328528613755291,
0.5336405623820879,
-0.2... | {
"n_parameters": 50,
"n_qubits": 8,
"optimal_eigenvalue": -2.333333333333333,
"target_ratio": 0.97,
"target_value": -2.263333333333333
} | 22 |
d2d6210032a3bac3f87e7e8b6a950d90 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.12684547789358433, "params": [[-0.029500000000000002], [0.0383]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0021744322425682958, 0.0021837378212684667], "optimization_time": 3.210709810256958} | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.18578577636277577) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.5093806493477444) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.18578577636277577) q[5];
cx q[0], q[5];
h q[6];
h q[7];
cx q[3], q[7];
rz(0.1857857... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"IZIIIZIII",
"IZIIIIIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IZIIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IZIIIIZII",
"IIIIIIZZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIZIZII",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZZIIIIIII",
"... | [
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-1,
-0.75,
-0.5,
-0.75,
-0.25,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-1.5,
-1.25,
-0.5,
1,
-0.75,
-1,
-0.5,
0,
-0.25,
1,
1,
-0.5,
0.75,
-0.5,
-0.25,
-1.25
] | 0.720873 | [
0.18578577636277577,
0.5093806493477444,
0.5119530029126313,
0.2732986393742881,
0.5476720459052578,
0.38973248629103374,
-0.13636454850262086,
-0.056871081683878784,
-0.09330404392189752,
1.329106489541909,
0.21577801437147648,
0.6017659229847682,
0.7618486460431486,
0.4295188912634574,
... | {
"n_parameters": 19,
"n_qubits": 9,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 381 |
-8312323543400674191 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 5, 6], [8, 3, 5], [0, 5, 7], [1, 7], [4, 5]]} | {"states": [79, 110], "expectation_value": -1.0675049738737759, "params": [0.9974000000000001, 0.13720000000000002, 1.0344, 0.0011, 0.5853, 0.4102, 0.5838, 0.0008, 1.2027, -0.0022, 1.1955, 0.006, 1.1945000000000001, -0.3106, 1.082, 0.0036000000000000003, 0.3821, -0.31120000000000003, 0.38330000000000003, 0.004800000000... | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665, -1.9166666666666665, -1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.916666666666666, "smallest_bitstrings": ["000110110", "001010011", "110010001", "001110010", "000010111"], "largest_eigenval... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.17223061694210895) q[0];
rz(0.6424916478293419) q[0];
rx(0.028852073806530303) q[1];
rz(1.3319940813534021) q[1];
rx(2.21270179058441) q[2];
rz(-0.4249317618358357) q[2];
rx(0.23240802943857952) q[3];
rz(-0.9546552506338477) q[3];
rx(-0.02149340324504989) 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": []} | [
"IIIIIIZZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIZIIIII",
"IIIZIZIII",
"ZIIIIZIII",
"IIIZIIIIZ",
"IZIIIIIZI",
"IZIZIIIII",
"IZIIIIIIZ",
"IIIZZIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.5,
0.125,
0.125,
0.458333... | 0.973858 | [
-0.17223061694210895,
0.6895232890649646,
0.028852073806530307,
1.0002887939808607,
2.21270179058441,
-0.39856380372848355,
0.23240802943857952,
-0.7007652429823733,
-0.021493403245049895,
-0.49552846720764016,
1.3345314222913216,
-0.243712251127714,
-0.9386685329729425,
1.9489596284054957... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -1.9166666666666665,
"target_ratio": 0.97,
"target_value": -1.8591666666666664
} | 61 |
18f51c81d01a61d58a5d6da20c55ce9d | 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": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -25.706888788600395, "params": [0.0002, 0.9462, 0.0005, 1.0757, -0.0024000000000000002, 1.1726, 0.0025, 1.3245, 0.6429, -0.37620000000000003, 0.2929, -0.3801, 0.0018000000000000002, 1.4804000000000002, 0.0026000000000000003, 1.5031, -0.0039000000000000003, 1.2117, 0.0019, 1.357... | -2.5 * (Z(0) @ Z(3)) + -3.5 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(6)) + -2.5 * (Z(4) @ Z(1)) + 1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(6)) + -3.0 * (Z(5) @ Z(1)) + 1.0... | 6 | 10 | 2 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000000000", "1101111000"], "largest_eigenvalue": 33.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(0.13073336812900155) q[0];
rz(2.3125814195312717) q[0];
rx(-0.022863559920685953) q[1];
rz(2.6074573354717945) q[1];
rx(-0.6999719192594032) q[2];
rz(0.7666142932163726) q[2];
rx(-0.10078216518072208) q[3];
rz(1.1992446106943841) q[3];
rx(0.2775570395800168) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIZIII",
"IIIZIIIIIZ",
"IIIIIIZIZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZZIII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIIIZIIIIZ",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIIIZZIIII",
"ZIZIIIIIII",
"ZIIIIIIZII",
"IIZIIIIZII",
"ZZIIIIIIII",
"IZZIIIIIII"... | [
-2.5,
-3.5,
-3,
-3.5,
1,
-3,
1,
0.5,
-3,
-2.5,
1.5,
0.5,
-3.5,
-3,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
1,
1.5,
1.5,
0.5,
-2,
0.5,
0.5,
0.5,
0.5
] | 0.972686 | [
0.13073336812900155,
0.7417850927363753,
-0.022863559920685953,
1.036661008676898,
-0.699971919259403,
-0.8041820335785246,
-0.10078216518072207,
-0.3715517161005127,
0.2775570395800168,
0.1652549542095049,
-0.057320429884227274,
0.5763437102242233,
-0.08716646181105751,
0.4355435746943682... | {
"n_parameters": 189,
"n_qubits": 10,
"optimal_eigenvalue": -28,
"target_ratio": 0.97,
"target_value": -27.16
} | 356 |
171e704e65359d5a57d8a8e54db87dfb | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [1, 53], "expectation_value": -2.176298133318236, "params": [[0.15030000000000002], [-0.1434]], "bitstrings": ["11111110", "11001010"], "total_optimization_steps": 20, "probabilities": [0.01044195515808985, 0.010677943657819376], "optimization_time": 2.369255304336548} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-1.6082126260244147) q[0];
rz(-pi) q[1];
ry(-0.004965084752792572) q[1];
h q[2];
ry(1.6210136409714537) q[2];
h q[3];
ry(0.8105068204857269) q[3];
cx q[2], q[3];
ry(-0.8105068204857269) q[3];
cx q[2], q[3];
h q[4];
ry(-0.7621435308680935) q[4];
h q[5];
ry(0.7... | 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IIIIIZZI",
"IZIIIZII",
"IIIIZIZI",
"IIIZZIII",
"IIIIZZII",
"IIZZIIII",
"IIZIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.25,
-0.5,
-1.5,
-0.5,
-0.75,
1.75,
-0.5,
-0.75,
-1.5,
-0.25,
-1.75,
-0.5,
2.25,
0.75,
0.5,
0.5
] | 0.99781 | [
1.6210136409714537,
1.5990030881178423,
-1.6082126260244147,
-1.524287061736187,
-1.4755763315842598,
-0.1627329857583258,
-0.10294869962300437,
-0.037105240853477536,
-0.0004364816468758982,
-0.1376101076604341
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 1 |
1326901385771089487 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6, 7], [0, 4], [0, 3], [1, 6], [2, 4], [8, 5]]} | {"states": [63, 62], "expectation_value": -0.2228483225468419, "params": [0.6819000000000001, 0.6816, 0.6092000000000001, 0.6108, 0.636, 0.6394000000000001, 0.8901, 0.8580000000000001, 0.8441000000000001, 0.8787, 0.8903000000000001, 0.8891, 0.9048, 0.8966000000000001, 0.9045000000000001, 0.9009, 0.655, 0.6433, 0.6629, ... | 0.08333333333333333 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["111000001", "010111000", "000110101", "010110011"], "largest_eigenvalue": 3.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.27674889226070315) q[0];
rz(pi/2) q[0];
ry(-0.2335675933739363) q[1];
ry(-0.4227246764761054) q[2];
ry(1.8972993321789497) q[3];
ry(1.4652811489443038) q[4];
ry(1.3833331102030615) q[5];
ry(1.3499020511732691) q[6];
ry(1.6668505189645908) q[7];
ry(-0.3028323224728... | OPENQASM 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": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"IZIZIIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIIIZIZII",
"ZIIZIIIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIIIIIIZI",
"IIIIIIZII",
"ZIIIIIIII"
] | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.5,
0.5,
0.5,
0.5,
0.5,
0.125,
0.125,
0.125,
0.125,
0,
0,
0,
0,
0
] | 0.97085 | [
-0.27674889226070315,
-0.2335675933739363,
-0.4227246764761054,
1.8972993321789497,
1.4652811489443038,
1.3833331102030615,
1.3499020511732691,
1.6668505189645908,
-0.30283232247287456,
0.3085723210632708,
0.06407242495675855,
1.0028686111124792,
0.46962411900410794,
0.5753664957493463,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -2.75,
"target_ratio": 0.97,
"target_value": -2.6675
} | 42 |
cc7438f9c3f135fc425e5dafbb725117 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [23, 51], "expectation_value": -4.499105012037314, "params": null, "bitstrings": ["1101000", "1001100"], "total_optimization_steps": 36, "probabilities": [0.06552852227040738, 0.933846672002889], "optimization_time": 37.69747447967529} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -2.0 * Z(0) + 0.0 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101000", "1001100"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.28363337578134423) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.28363337578134423) q[2];
cx q[0], q[2];
rz(1.0081308575849182) q[2];
rx(-1.6880372877106562) q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.28363337578134423) q[4];
cx ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IZIZIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-2,
0,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.736672 | [
-0.28363337578134423,
-0.0956092508422771,
-1.97237725602297,
1.0081308575849182,
-1.6880372877106562,
0.4749848957366021,
-0.31836225207537955,
-4.3213344847686335,
-0.6870630827277984
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 340 |
-8560023897794812040 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 5], [0, 2, 3, 5], [1, 4, 6], [2, 4, 6], [0, 2, 4, 5], [0, 5, 6], [0, 1, 2, 4], [0, 4, 6], [1, 2, 3, 6]]} | {"states": [51, 113], "expectation_value": -0.04898838138218878, "params": [[-0.0425], [0.0504]], "bitstrings": ["1001100", "0001110"], "total_optimization_steps": 10, "probabilities": [0.008025915192399095, 0.008048730111724236], "optimization_time": 2.5681352615356445} | 0.25 * (Z(1) @ Z(2)) + 0.41666666666666663 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0001110"], "largest_eigenvalue": 9.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(8.041141527769667e-09) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(1.5064651388363816e-07) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-1.4775349876309627e-08) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(8.0411415277696... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"IIIIZIZ",
"IIIIIZZ",
"IIZIIIZ",
"IZIIIIZ",
"IIIZZII",
"IIIZIZI",
"IZIZIII",
"IIIZIIZ",
"ZIIIZII",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"III... | [
0.25,
0.41666666666666663,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.25,
0.25,
0.5,
0.16666666666666666... | 0.964286 | [
8.041141527769667e-9,
1.5064651388363816e-7,
-1.4775349876309627e-8,
-6.482997270437554e-8,
-5.6458505104764205e-8,
-7.228528988063198e-8,
-1.570796342490964,
-1.5707961617881228,
1.5707962200672605,
-1.570796628621037,
1.570796114129346,
1.570796419189278
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333334,
"target_ratio": 0.97,
"target_value": -2.2633333333333336
} | 287 |
92527c1e1b76418d857008afc54c7f9c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": ... | {"states": [2048, 2047], "expectation_value": -8.58342289826834, "params": [[[-0.0105, -0.5577], [-0.0014, -0.0425], [-0.0027, -0.0028], [-0.0006000000000000001, -0.0023], [-0.002, -0.0011], [-0.0023, -0.0033], [-0.0017000000000000001, 0.0028], [-0.0034000000000000002, -0.0033], [-0.028800000000000003, 0.00360000000000... | -0.5 * (Z(0) @ Z(6)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(10)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(11) @ Z(10)) + -0.5 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(5)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(... | 15 | 12 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["100000000000", "100000110000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.08861638219167989) q[0];
ry(0.26629652514128066) q[1];
ry(0.08861638219167989) q[2];
ry(0.17280138893354693) q[3];
ry(0.05058409524681014) q[4];
ry(-0.009692798528297051) q[5];
ry(-0.24814503452420655) q[6];
ry(-0.16596465005730912) q[7];
ry(0.28502672529658346) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIZIIIIIZ",
"IZIIIIIIIIIZ",
"IIIIIZIIZIII",
"IIIIIIIIZIIZ",
"IZIIIIIIIIZI",
"IIIIIIIIZIZI",
"IZIIIIIZIIII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"ZZIIIIIIIIII",
"ZIIIIIIZIIII",
"ZIIIIIZIIIII",
"IIIIZZIIIIII",
"IIIIIZIIIZII",
"IIIIIIIIZZII",
"IIIIIIZIIZII",
"ZIIIIIIIIZII",
"IIIIZIIII... | [
-0.5,
-0.25,
-0.25,
1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
0,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
-0.5,
-0.25,
0.25,
1.25,
0.5
] | 0.974707 | [
0.08861638219167989,
0.26629652514128066,
0.17280138893354693,
0.05058409524681014,
-0.009692798528297051,
-0.24814503452420655,
-0.16596465005730912,
0.28502672529658346,
0.15115070408330172,
0.029892032300406365,
2.682381680688221,
-0.016183929494221105,
-0.022176840368762496,
0.07838606... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -9,
"target_ratio": 0.97,
"target_value": -8.73
} | 36 |
d12f17feef637a9f0fcf357278059b3f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [87, 151], "expectation_value": -28.706642990779027, "params": [[[0.39930000000000004, 0.3648], [0.395, 0.3925], [0.4012, 0.3578], [0.0465, 0.1904], [0.39730000000000004, 0.3962], [0.1721, 0.39690000000000003], [0.38630000000000003, 0.3902], [0.24960000000000002, 0.2788], [0.3962, 0.39840000000000003]], [[0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 13.0 * Z(1) + -2.0 * Z(0) + 4.5 * Z(2) + 20.0 * Z(6) + 21.0 * Z(4) + 0.5 * Z(3... | 15 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101101000"], "largest_eigenvalue": 150.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.6008320745865142) q[0];
ry(1.2123491552507852) q[1];
ry(0.40545674972320234) q[2];
ry(0.2734498319840467) q[3];
ry(1.4761422601274414) q[4];
ry(-0.05548778943303846) q[5];
ry(0.5804590521096188) q[6];
ry(0.8071094827153137) q[7];
ry(0.49188881021704167) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIZIIIIZI",
"IIZIIIZII",
"IIZIZIIII",
"IIIIZZIII",
"IIZZIIIII",
"IIIZZIIII",
"IZIIZIIII",
"IZIIIZIII",
"ZIIZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
13,
-2,
4.5,
20,
21,
0.5,
9,
10,
3
] | 0.971478 | [
0.6008320745865142,
1.2123491552507852,
0.40545674972320234,
0.2734498319840467,
1.4761422601274414,
-0.05548778943303846,
0.5804590521096188,
0.8071094827153137,
0.49188881021704167,
-0.09873611764429716,
-0.0457513656264157,
-0.07425067620922718,
-0.033606555593421295,
0.4295994330037820... | {
"n_parameters": 68,
"n_qubits": 9,
"optimal_eigenvalue": -87.5,
"target_ratio": 0.97,
"target_value": -84.875
} | 85 |
885062aa0c1a31cf5a193f1a32bffef7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [6890, 6906], "expectation_value": -2.849390700129807, "params": [[[1.2964, 0.0031000000000000003, 0.003, 0.0091], [-0.02, -0.3022, 1.1843000000000001, 0.0097], [0.5823, -0.004, 0.0058000000000000005, -0.0002], [0.4102, 0.0012000000000000001, 1.1452, 0.00030000000000000003], [0.25780000000000003, -0.0027, 0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 12 | 13 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.8125, -3.812... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.021072593850822063) q[0];
rz(0.2765857801497469) q[0];
rx(0.16950039477152695) q[1];
rz(0.0695790676876844) q[1];
rx(2.5687485906629814) q[2];
rz(-0.5370194150143539) q[2];
rx(0.197336122499063) q[3];
rz(0.1788281523420414) q[3];
rx(2.8557809246288337) q[4];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIIZIIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIZIZI",
"IIIIIIIIIZZII",
"IIIIIIIIIIZZZ",
"IIIIIIIIIZIZZ",
"IIIIIIIIIZZIZ",
"IIIIIIIIIZZZI",
"IIIIIIIIIZZZZ",
"IIIIIIIIZIIIZ",
"IIIIIIIZIIIIZ",
"IIIIIIZIIIIIZ",
"IIIIIZIIIIIIZ",
"IIIIIIIZZIIII",
"IIIIIIZIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0... | 0.970975 | [
0.021072593850822063,
0.2191158966212049,
0.16950039477152695,
-0.24923337257882106,
2.5687485906629814,
-0.5190896520238735,
0.19733612249906302,
0.19794826629618956,
2.8557809246288337,
-0.09660850004403976,
3.1276761766022516,
-0.11637809025585549,
-0.10041881598941219,
0.15828056727644... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 16 |
ec87bd26481b55f30c2ced0539bb7e3e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [218, 91], "expectation_value": -14.582759918097354, "params": [[-0.0089, -0.019100000000000002], [0.0189, 0.06810000000000001]], "bitstrings": ["00100101", "10100100"], "total_optimization_steps": 10, "probabilities": [0.006979678214486606, 0.007553420885933143], "optimization_time": 3.2546286582946777} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(0)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(0)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["10100100"], "largest_eigenvalue": 192.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.030163080814161247) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.030163080814161247) q[2];
cx q[1], q[2];
h q[3];
cx q[1], q[3];
rz(0.030163080814161247) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.030163080814161247) q[3];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIZII",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIII... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
22,
10.5,
4.5,
30,
13,
1.5,
20,
16
] | 0.977475 | [
0.030163080814161247,
-1.2762889649804523,
1.4590451655705148,
0.5918584522090633,
-1.0315042368334943,
-0.6824433989964936,
0.6375796603306618,
-0.7531413049947808,
-1.2203368924988305,
0.6424651890179,
0.026730720924872924,
-0.30777583180107465,
-0.03497059057415422,
1.146456178986818,
... | {
"n_parameters": 20,
"n_qubits": 8,
"optimal_eigenvalue": -89.5,
"target_ratio": 0.97,
"target_value": -86.815
} | 52 |
-5661878744351023720 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 4, 5, 7, 8, 9, 10], [1, 3, 5, 7, 8, 10], [1, 2, 5, 6, 8, 9, 10], [3, 6, 7, 8, 9], [0, 1, 2, 4, 5, 7], [0, 2, 6, 7, 10], [4, 6], [1, 5, 9, 7], [0, 1, 3, 6, 8, 10], [0, 1, 4, 5, 8, 9, 10], [0, 2, 5, 6]]} | {"states": [1085, 1087], "expectation_value": -2.389063138765786, "params": null, "bitstrings": ["01111000010", "01111000000"], "total_optimization_steps": 73, "probabilities": [0.1313721564875776, 0.7277241608706652], "optimization_time": 3322.521810770035} | 0.18055555555555555 * (Z(0) @ Z(2)) + 0.013888888888888888 * (Z(3) @ Z(2)) + 0.04722222222222222 * (Z(3) @ Z(0)) + 0.04722222222222222 * (Z(4) @ Z(2)) + 0.07103174603174603 * (Z(4) @ Z(0)) + 0.013888888888888888 * (Z(4) @ Z(3)) + 0.15436507936507937 * (Z(5) @ Z(2)) + 0.15436507936507937 * (Z(5) @ Z(0)) + 0.047222222222... | 9 | 11 | 1 | {"smallest_eigenvalues": [-2.447619047619048], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4253968253968257, "smallest_bitstrings": ["01111000000"], "largest_eigenvalue": 10.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-2.532297720694892) q[0];
rz(-pi) q[0];
h q[1];
h q[2];
ry(-0.2716721652754287) q[2];
h q[3];
ry(-0.09398468000246518) q[3];
h q[4];
ry(-0.4493042981316657) q[4];
h q[5];
ry(1.496429785093855) q[5];
h q[6];
cx q[6], q[4];
ry(0.4493042981316657) q[4];
cx q[6], q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5119) 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] = me... | [
"IIIIIIIIZIZ",
"IIIIIIIZZII",
"IIIIIIIZIIZ",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIZIZIIIII",
"IIZIIIIIZII",
"IIZIIIIIIIZ",
"IIZIIIIZIII",
"IIZIIIZII... | [
0.18055555555555555,
0.013888888888888888,
0.04722222222222222,
0.04722222222222222,
0.07103174603174603,
0.013888888888888888,
0.15436507936507937,
0.15436507936507937,
0.04722222222222222,
0.07103174603174603,
0.09722222222222222,
0.09722222222222222,
0.09722222222222222,
0.0472222222222... | 0.97282 | [
1.496429785093855,
1.3333005234472552,
1.296481609927575,
-0.8986085962633314,
0.9645998039818596,
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0.6723955952052822,
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0.7079152014386194,
0.5071723849227522,
-0.5433443305508574,
-0.3893969668013017,
0.364886079398294,
0.2651304124278688,
-0.20... | {
"n_parameters": 65,
"n_qubits": 11,
"optimal_eigenvalue": -2.447619047619048,
"target_ratio": 0.97,
"target_value": -2.3741904761904764
} | 1 |
a13111755f6f9029d45285fab7768b39 | 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": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -15.803109125601836, "params": [[[-0.006, 0.4076], [-0.003, 0.0011], [0.0053, -0.0027], [-0.0016, -0.0027], [-0.0009000000000000001, -0.003], [0.002, -0.0025], [0.013900000000000001, -0.0024000000000000002], [-0.0017000000000000001, -0.0025], [-0.0029000000000000002, -0.002... | -1.0 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(9)) + -1.25 * (Z(4) @ Z(1)) + -1.0 * (Z(7) @ Z(9)) + -1.75 * (Z(7) @ Z(1)) + -0.75 * (Z(8) @ Z(1)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(11) @ Z(9)) + -1.0 * (Z(11) @ Z(1)) + -0.5 * (Z(11) @ Z(4)) + -1.25 * (Z(11) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z... | 15 | 12 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["100000000000"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.025654808921273035) q[0];
ry(0.03918621919651857) q[1];
ry(0.2238139545120143) q[2];
ry(0.0019847997070117224) q[3];
ry(-0.02265819963561968) q[4];
ry(0.020544258681422588) q[5];
ry(0.10366538330512065) q[6];
ry(0.015381768516360476) q[7];
ry(-0.138417313997048) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIIZI",
"IIIIIIIZIIZI",
"IIZIZIIIIIII",
"IIIIZIIIIIZI",
"IIIZIIIIIIZI",
"IIIZZIIIIIII",
"ZIZIIIIIIIII",
"ZIIIIIIIIIZI",
"ZIIIIIIZIIII",
"ZIIZIIIIIIII",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IZIIIIIZIIII",
"IZIIZIIIIIII",
"ZZIIIIIIIIII",
"IZIIIIZII... | [
-1,
-0.25,
-1.25,
-1,
-1.75,
-0.75,
-0.25,
-0.75,
-1,
-0.5,
-1.25,
-1,
1.25,
-0.75,
-1.25,
-0.5,
-0.75,
-1,
-0.25,
-1.25,
0.75,
-0.25,
2.25,
-0.5,
-1,
-1.25,
2.25,
-0.5,
-1.25,
-0.5,
0.25,
-0.25
] | 0.973186 | [
0.025654808921273035,
0.03918621919651857,
0.2238139545120143,
0.0019847997070117224,
-0.02265819963561968,
0.020544258681422588,
0.10366538330512065,
0.015381768516360476,
-0.138417313997048,
-0.021386899501540185,
-0.6245858346532718,
-0.05695829834806494,
0.392647531618468,
-0.084571458... | {
"n_parameters": 72,
"n_qubits": 12,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 71 |
b092771ce61a8acd6559293acbdc236f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2},... | {"states": [2041, 2047], "expectation_value": -21.98338876546033, "params": null, "bitstrings": ["00000000110", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.04981509770531454, 0.40881222729588523], "optimization_time": 323.75212931632996} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(0)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(6)) + -3.5 * (Z(4) @ Z(7)) + -3.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["00000000000"], "largest_eigenvalue": 45.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.07944843518069877) q[0];
ry(-0.023055749448330047) q[1];
ry(0.14958704260228906) q[2];
ry(0.11248506586690205) q[3];
ry(0.11248506586690205) q[4];
ry(0.18032321579823166) q[5];
ry(-0.023055749448330047) q[6];
ry(0.060906342767238844) q[7];
ry(0.027217362208406502... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[7], q[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[... | [
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"IIIIZIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIIIIZ",
"IIIZZIIIIII",
"IIIIIIIIZZI",
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIZIIIIIZI",
"IIIIIIZIZII",
"IIIIIIZIIIZ",
"IIIIZIZIIII",
"IIIZIIZIIII",
"IIIIIIZIIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIZIZIIIII",
"IIIIIZIII... | [
-2.5,
0.5,
-3,
0.5,
-3,
1.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
1,
-3.5,
-3.5,
-3,
0.5,
1,
1,
-2.5,
-3,
1,
-3,
-3,
0.5,
1.5,
-3,
-2,
0.5,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1.5,
1
] | 0.970735 | [
-0.07944843518069877,
-0.023055749448330047,
0.14958704260228906,
0.11248506586690205,
0.18032321579823166,
0.060906342767238844,
0.027217362208406502,
-0.0625424106758895,
0.18606842741424828,
3.103056982604843,
-0.08228895233511942,
-0.14015800064045528,
0.25884326163599736,
0.0578663963... | {
"n_parameters": 14,
"n_qubits": 11,
"optimal_eigenvalue": -32.5,
"target_ratio": 0.97,
"target_value": -31.525
} | 18 |
3f15d8a3a52bb3495503dcce203eb5e8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [112, 114], "expectation_value": -1.9882298052642575, "params": [0.0041, 0.004200000000000001, 0.40140000000000003, 0.40790000000000004, 0.3992, 0.4063, 0.40180000000000005, 0.4055, 0.004200000000000001, 0.0005, -0.0016, 0.0059, 0.40040000000000003, 0.3987, 0.2797, 0.272, -0.0022, 0.00030000000000000003, 0.3... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 14 | 8 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["10001101"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.18490095040635746) q[0];
rz(1.2635261740368904) q[0];
rx(0.3687010436203233) q[1];
rz(1.6439735689664445) q[1];
rx(0.7022268456495964) q[2];
rz(1.7823431104855736) q[2];
rx(1.1118749199278979) q[3];
rz(1.4509987147215941) q[3];
rx(0.06893412251554275) q[4];
rz(1.66... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IZIIIIZI",
"ZIIIIIZI",
"ZZIIIIII",
"ZZIIIIZI",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIZII",
"IZIZIZI... | [
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,
0.5,
-0.625,
0.125,
0.25,
-0.125,
-0.625,
-0.625,
0.125,
-0.2... | 0.970519 | [
0.18490095040635746,
-0.30727015275800573,
0.36870104362032324,
0.07317724217154742,
0.7022268456495964,
0.21154678369067664,
1.111874919927898,
-0.11979761207330228,
0.06893412251554275,
0.09437472440523963,
-0.07954573970746273,
0.19536377362600246,
0.20694865552136746,
0.155054759714475... | {
"n_parameters": 56,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 21 |
811970c75ac4239e32fdc1a2884504a0 | 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": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [84, 116], "expectation_value": -4.613819914798599, "params": [[[-0.0041, -0.5206000000000001, 0.0012000000000000001, 0.0081], [0.5588000000000001, -0.007500000000000001, 0.5652, 0.005200000000000001], [-0.1884, 0.005, 0.0078000000000000005, 0.0043], [0.6425000000000001, 0.0082, 0.6451, 0.0046], [-0.0037, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(4) + -1.0 * Z(1) + -1.0 * Z(6) + -1.0 * Z(7) + 0.... | 12 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["10001011", "01101100"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.210385115521371) q[0];
rz(-0.33833810418933724) q[0];
ry(1.0990104003457182) q[1];
rz(0.047774241884109905) q[1];
cz q[1], q[0];
ry(0.23963957365023209) q[0];
rz(-0.239250137186164) q[0];
ry(1.034134776834233) q[1];
ry(0.28503282531590424) q[2];
rz(-0.152507387336... | OPENQASM 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",
"IIIZIIZI",
"IZIIIZII",
"IZIZIIII",
"IZIIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZIIIIIZI",
"IIIZZIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIZIIII",
"IIIIIIZI",
"IZIIIIII",
"ZIIIIIII",
"IIIIZIII"
] | [
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,
-1,
-1,
-1,
-1,
0
] | 0.974785 | [
-0.210385115521371,
-0.33833810418933724,
1.0990104003457182,
0.047774241884109905,
0.28503282531590424,
-0.15250738733658642,
0.8241258760821076,
-0.011665245872007568,
-0.16711375173316545,
0.32750484283000025,
-0.06109095630023394,
-0.0179328525961662,
-0.044970119989486586,
-0.30985012... | {
"n_parameters": 85,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 35 |
bb51b85a8f0cca1e878093cb2d4e9f25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -24.50323655365925, "params": [[-0.0349, -0.0048000000000000004], [0.0748, 0.06810000000000001]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.011688516109594064, 0.013224008798846157], "optimization_time": 5.706830739974976} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 179.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIIZIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
20.5,
6.5,
20,
17,
8,
18.5,
16.5,
9
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
-1.1578923267991272,
-0.46130283317179,
-1.0852932021567716,
0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
16fd100f275204704241463c8dae53bc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [322, 450], "expectation_value": -5.607138208764647, "params": [0.8106, -0.0022, 0.8036000000000001, 0.0056, 0.8042, 0.0007, 0.8041, 0.0083, 0.8054, 0.00030000000000000003, 0.8067000000000001, 0.0039000000000000003, 0.38230000000000003, 0.0002, 0.2467, 0.009600000000000001, 0.1698, -0.0017000000000000001, 0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["000111101"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.7823481053975412) q[0];
rz(1.776498664591017) q[0];
rx(2.1037208418030047) q[1];
rz(1.5455201106205418) q[1];
rx(1.1613629529533165) q[2];
rz(1.6062699098086899) q[2];
rx(0.02405415058510172) q[3];
rz(1.8922913059501205) q[3];
rx(0.19564697418675744) q[4];
rz(1.853... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIZIII",
"IIIZIIIIZ",
"ZIIIIZIII",
"ZIIIIIIIZ",
"IIIZIIIZI",
"ZIIIIIIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIZZIIIII",
"IIZIIIIZI",
"IIIIIZZII",
"IIIZIIZII",
"IIIIZIZII",
"IIZIIIZII",
"IZIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-2.5,
-1,
-1.5,
-1.5,
-1,
-1.5,
0
] | 0.97073 | [
1.782348105397541,
0.20570233779612068,
2.1037208418030047,
-0.025276216174354632,
1.1613629529533172,
0.035473583013792914,
0.02405415058510172,
0.3214949791552237,
0.19564697418675747,
0.28285298022251015,
-0.166664720934354,
-0.36431020519912244,
0.43881439181821436,
0.16836795004141228... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 97 |
7d8c120b950f82240c2b01ae7c753ace | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -8.840358986687587, "params": [[[0.0013000000000000002, 0.49810000000000004], [-0.0028, -0.0005], [-0.0045000000000000005, -0.0022], [-0.0025, 0.0022], [-0.0026000000000000003, -0.0023], [-0.0024000000000000002, -0.0026000000000000003], [-0.0023, -0.0021000000000000003], [0.0... | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 15 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[0];
rz(-0.0006716325042154664) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.0006716325042154664) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-1.3581049552887894) q[4];
cx q[1], q[4];
cx q[6], q[5];
rz(-1.2020433... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IIIIZIIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IIIZZIIII",
"IZZIIIIII",
"IZIIIIIZI",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"IZIIIZIII",
"IIIIIZZII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIZIIIII",
"IZIIIIIII",
"... | [
-0.25,
0.5,
-0.25,
-0.75,
-1.25,
-1.25,
-0.25,
-0.5,
-0.25,
-1.75,
-0.25,
-1.25,
-0.5,
-0.5,
1.25,
-0.25,
-0.75,
2.5,
0.25,
-3,
-0.75,
0.75,
0
] | 0.801205 | [
-0.0006716325042154664,
0.000010565424425903949,
-1.3581049552887894,
-0.000001202043307248502,
-0.0000013554866091444424,
-0.000005342637836494328,
-1.5707962505940247,
-1.5707533605711173,
-1.570555464609826,
-1.570796263828308,
-1.5707964040538356,
-1.5707962652461258,
-1.5707621300938583... | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 308 |
629064d27778679294f16fb68c627d78 | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [91, 127], "expectation_value": -1.499926065581607, "params": [[-0.0083, -0.0024000000000000002, -0.0, 0.7739, 0.7775000000000001, -0.0024000000000000002, 0.0022, -0.0019], [-0.0028, -0.0045000000000000005, -0.0022, 1.4037000000000002, 1.6855, -0.0024000000000000002, -0.0022, 0.0021000000000000003], [0.92080... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ ... | 9 | 8 | 4 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.75, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.06790606828601531) q[0];
ry(-0.19378190667385042) q[1];
ry(0.26525675236889135) q[2];
ry(0.3085519872831255) q[3];
ry(-0.08750380138537002) q[4];
ry(0.1670886418927537) q[5];
ry(-0.12914170348052573) q[6];
ry(2.711521101072561) q[7];
cx q[7], q[0];
cx q[6], q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IZIIIZII",
"IZIIIIIZ",
"ZIIIIZII",
"ZIIIIIIZ",
"IZIIIIZI",
"IZIZIIII",
"IIIZIIZI",
"ZIZIIIII",
"IIZIIIZI",
"IIIIZZII",
"IZIIZIII",
"ZIIIZIII",
"IIIZZIII",
"IIZIZIII",
"IIIIIZII",
"IIIIIIIZ",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZII... | [
-0.25,
-0.25,
-0.25,
-0.5,
0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1,
-0.25,
-0.5,
-0.5,
-0.25,
-1,
-0.25,
-0.25,
1.25,
-0.75,
0,
-0.5,
0.5,
0
] | 0.971644 | [
0.06790606828601531,
-0.19378190667385042,
0.26525675236889135,
0.3085519872831255,
-0.08750380138537002,
0.1670886418927537,
-0.12914170348052573,
2.711521101072561,
0.017142781392932717,
0.04988119033459587,
0.13485690303009606,
0.02740877087440155,
-0.1282859228707568,
-0.02651321364155... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -6.75,
"target_ratio": 0.97,
"target_value": -6.547499999999999
} | 44 |
344135135277386308 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2], [8, 5], [0, 2], [9, 2], [9, 3, 5], [8, 1], [2, 6, 7], [8, 6], [8, 0], [9, 5, 6], [1, 5, 7], [0, 1, 7], [1, 2, 4], [9, 5, 7], [0, 9, 5], [9, 3, 6], [0, 1, 6], [2, 5], [8, 9, 4], [9, 4, 5], [1, 3, 9], [2, 3], [4, 5, 6], [0, 9, 6], [0, 3]]} | {"states": [829, 825], "expectation_value": -3.9608600419680844, "params": [1.3903, 1.3936000000000002, 1.3737000000000001, 1.3932, 0.1968, 0.2, 0.5409, 0.5142, 1.3883, 1.3826, 1.3654000000000002, 1.3900000000000001, 1.3948, 1.3929, 0.6957, 0.9986, 0.2822, 0.18710000000000002, 1.3960000000000001, 1.3895, 1.389800000000... | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.5 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.8333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666... | 14 | 10 | 1 | {"smallest_eigenvalues": [-5.666666666666666, -5.666666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.333333333333334, "smallest_bitstrings": ["0011000110", "0011100110"], "largest_eigenvalue": 20.000000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(1.4885390299316705) q[0];
rz(pi/2) q[0];
ry(1.1453336063092618) q[1];
ry(-0.15837876116475103) q[2];
ry(-0.28485027370723653) q[3];
ry(0.6465781743729357) q[4];
ry(1.1411501305004745) q[5];
ry(1.224918042753992) q[6];
ry(0.16128321194868886) q[7];
ry(-0.482332003371... | OPENQASM 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",
"IIIIZIIZII",
"IZIIZIIIII",
"IIIIIIIZIZ",
"IZIIIIIIIZ",
"IIIIZIIIIZ",
"ZIIIIIIZII",
"ZZIIIIIIII",
"ZIIIZIIIII",
"ZIIIIIIIIZ",
"IIIIIIZZII",
"IIIIZIZIII",
"IIIIIIZIIZ",
"ZIIIIIZIII",
"IIIIIIIZZI",
"IZIIIIIIZI",
"IIIIZIIIZI",
"IIIIIIIIZZ",
"ZIIIIIIIZI",
"IIIIIIZIZI"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.8333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.5,
0.5,
0.16666666666666666,
0.5,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666... | 0.974379 | [
1.4885390299316705,
1.1453336063092618,
-0.15837876116475103,
-0.28485027370723653,
0.6465781743729357,
1.1411501305004745,
1.224918042753992,
0.16128321194868886,
-0.48233200337124404,
1.4935582014926,
1.7134621382457802,
-0.3411229050286425,
-0.22717967105402403,
0.12045622009394477,
0... | {
"n_parameters": 40,
"n_qubits": 10,
"optimal_eigenvalue": -5.666666666666666,
"target_ratio": 0.97,
"target_value": -5.496666666666666
} | 44 |
ea6f28b1d52734982303edc3e4a649bb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -53.02659296883926, "params": [0.9064000000000001, 0.0022, 3.1616, 0.0032, 3.1618, 0.0022, 1.385, 0.009000000000000001, 3.1617, 0.0061, 3.1597, 0.001, 3.16, 0.006500000000000001, 1.5664, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.0032, 0.0004, 0.0063, 0.0096000000... | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 18 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 148.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.010579390403300512) q[0];
rz(0.5032633397346796) q[0];
ry(-0.16775742047494524) q[1];
rz(0.4239821625260418) q[1];
cx q[1], q[0];
ry(0.08641991018112673) q[0];
rz(0.8114268101915858) q[0];
ry(0.11118927672779633) q[1];
rz(-0.5652374082435947) q[1];
ry(0.30165731961... | OPENQASM 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\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
3.5,
17.5,
13.5,
8,
11.5,
20.5,
11.5
] | 0.970089 | [
0.010579390403300512,
0.5032633397346796,
-0.16775742047494524,
0.4239821625260418,
0.30165731961222375,
-0.16334054591635155,
-0.08287043178903097,
-0.6586726372166358,
0.30175015715223785,
0.9393288219767209,
0.1699036987785315,
-0.04037235258249219,
-0.14445755865650717,
0.4806517596819... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.625,
"target_ratio": 0.97,
"target_value": -3.51625
} | 29 |
bb51b85a8f0cca1e878093cb2d4e9f25 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 19.010306119918823} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.0578548521713938) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.0578548521713938) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0578548521713938) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.0578548521713938) q[3];
cx q[1], q[3];
cx... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIIZ",
"ZIIIZI",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1,
-1,
0,
0
] | 0.970515 | [
0.0578548521713938,
-0.5965324608541779,
0.14798932566828993,
0.42484350980591923,
-0.9272829572068437,
-0.04010345398285296,
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0.9461273837682691,
-0.03445215865394413,
-1.0967217839356491,
-0.4607238774334183,
0.35636944727550446... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 112 |
-7926624286391894599 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4, 6, 7], [0, 2, 4, 7], [3, 6], [1, 2, 4, 6], [0, 4, 6], [0, 1, 2, 3], [0, 2, 4, 5], [0, 1, 6, 7], [3, 5], [2, 4, 5, 7]]} | {"states": [217, 167], "expectation_value": -0.05734623544005918, "params": [[0.0603], [-0.047400000000000005]], "bitstrings": ["00100110", "01011000"], "total_optimization_steps": 10, "probabilities": [0.004109625308556717, 0.004109658580247354], "optimization_time": 3.1549503803253174} | 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["01011000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[1];
rz(0.014315604792890116) q[1];
cx q[4], q[1];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.0010605651440308093) q[6];
cx q[4], q[6];
cx q[1], q[6];
rz(0.13892001717297892) q[6];
cx q[1], q[6];
h q[7];
cx q[4], q[7];
rz(0.138... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IZIZIIII",
"IZIIIIZI",
"ZIIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIZIIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIIZ",
"IIIZIZII",
"IIIIIZZI",
"IZIIIZII",
"ZIIIIZII",
"IIIIIZIZ",
"IIIIZIZI",
"IZIIZIII",
"IIIIZIIZ",
"IIIIZZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZIIZI... | [
0.16666666666666666,
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0.25,
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0.3333333333333333,
0.16666666666666666,
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0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.25,
0.08333333333333333,
0.5,
0.08... | 0.744873 | [
0.014315604792890116,
0.0010605651440308093,
0.13892001717297892,
0.005310433026646016,
0.3262981674712365,
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1.5489248549350685,
1.56616480178155,
1.5664448738447356,
-1.530559991597156,
-1.4821213396814932
] | {
"n_parameters": 11,
"n_qubits": 8,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 373 |
784b63cb47166297c17994d134c1de86 | 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": 3}, {"source": 2, "ta... | {"states": [104, 105], "expectation_value": -5.154583774469981, "params": [-0.0008, -0.4647, 0.7977000000000001, -0.0046, 0.7966000000000001, 0.007500000000000001, -0.0032, 0.49210000000000004, 0.808, 0.0148, 0.42800000000000005, 0.14600000000000002, 0.0031000000000000003, 0.5802, 0.6308, 0.2391, -0.0036000000000000003... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(3) + -1.5 * Z(0) + 0.0 * Z(4) + -1.5 * Z(5) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["10010011", "10010110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.043467703289038026) q[0];
rz(-0.7181923092523101) q[0];
rx(0.9868538804846975) q[1];
rz(0.3585702517819511) q[1];
rx(0.8450182358694517) q[2];
rz(0.1010057276812466) q[2];
rx(-0.041742385195668516) q[3];
rz(0.4675440137834048) q[3];
rx(1.0340653747963522) 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": []} | [
"IIIIZIIZ",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIZIZI",
"IIIIZZII",
"IZZIIIII",
"ZZIIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIIIZII",
"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,
-2,
-1.5,
0,
-1.5,
-1.5,
0,
-0.5,
-1
] | 0.972176 | [
0.043467703289038026,
-0.7615353145433857,
0.9868538804846974,
0.34402377807476314,
0.8450182358694517,
0.08715751838796204,
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0.4173977966438215,
1.034065374796352,
0.010111378369390418,
0.1682371515995709,
0.15557254402279197,
-0.03752610342851124,
0.7160235151683814... | {
"n_parameters": 67,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 13 |
1b85dbadf49d5e00f9e47be861e776c4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [2041, 2009], "expectation_value": -3.1388116933372405, "params": [0.261, 0.2569, 0.6945, 0.6998000000000001, 0.4929, 0.5479, 0.6958000000000001, 0.6913, 0.6945, 0.6890000000000001, 0.6921, 0.6854, 0.2639, 0.26080000000000003, 0.6882, 0.6916, 0.6967, 0.6994, -0.0025, -0.003, 0.0402, 0.0439, 0.6965, 0.6934, 0... | 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... | 14 | 12 | 2 | {"smallest_eigenvalues": [-4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625, -4.0625], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -3.0625, "smallest_bitstrings": ["000100100110", "001010100100", "001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.13453324330091465) q[0];
rz(1.0753513770848593) q[0];
rx(2.975746346254277) q[1];
rz(-0.6781668590082865) q[1];
rx(-0.2367256632155181) q[2];
rz(-0.22310665326415446) q[2];
rx(2.89712186884282) q[3];
rz(-0.1081053917582111) q[3];
rx(0.3607917338098562) 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": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
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-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,
... | 0.974192 | [
-0.13453324330091465,
1.0753513770848593,
2.975746346254277,
-0.6781668590082865,
-0.2367256632155181,
-0.22310665326415446,
2.89712186884282,
-0.1081053917582111,
0.3607917338098562,
3.4678529874554633,
1.0387317108088614,
-0.09274751190222191,
-0.35032557567080463
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 16 |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -13.10168267781046, "params": [[0.1534, 0.1323], [-0.1399, -0.1588]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 20, "probabilities": [0.0007793284614129178, 0.0007801394189325729], "optimization_time": 24.1572585105896} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 2 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"], "largest_eigenvalue": 67.99999999999994} | OPENQASM 3.0;
include "stdgates.inc";
qubit[4] q;
rz(-0.8856201491506983) q[0];
ry(0.20607187143120437) q[0];
rz(1.691443220073766) q[0];
rz(1.9404906187072166) q[1];
ry(0.12101153113441158) q[1];
rz(-1.8772538795087437) q[1];
rz(-2.137783534785648) q[2];
ry(0.08595900488246716) q[2];
rz(1.6840356586029337) q[2];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIIZIIZIII",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZZIIIIII",
"IIIIIIIIIIIZZIII",
"IIIIIII... | [
0.5,
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0.5,
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0.5,
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0.25,
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0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
... | 0.987235 | [
0.11953274834359354,
0.2854334628168601,
-0.11213716823678,
0.2175735915324961,
0.058537607426864216,
-0.2041489905535785,
1.195421164250731,
-0.0853700569336958,
0.21361350790414543,
0.08320735516977537,
-0.038044942888873196,
-0.02371278444846299,
-0.1628380576660834,
0.9476996835334291,... | {
"n_parameters": 22,
"n_qubits": 4,
"optimal_eigenvalue": -10,
"target_ratio": 0.97,
"target_value": -9.7
} | 5 |
1900434968305725660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 5], [9, 10], [0, 11], [9, 7], [9, 11], [10, 5], [0, 10], [8, 12], [2, 5], [13, 5], [2, 11], [3, 7], [1, 6], [10, 11], [0, 6], [3, 13], [11, 4], [10, 12], [8, 9], [5, 7], [1, 11], [9, 3], [8, 1], [12, 7], [10, 13], [1, 3], [1, 4], [0, 4], [11, ... | {"states": [3994, 12389], "expectation_value": -2.336879039638952, "params": [[0.169], [-0.1733]], "bitstrings": ["11000001100101", "00111110011010"], "total_optimization_steps": 20, "probabilities": [0.00028809737117252584, 0.00028809737117252584], "optimization_time": 88.92252278327942} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(10) @ Z(5)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(12) @ Z(0)) + 0.5... | 1 | 14 | 1 | {"smallest_eigenvalues": [-8.999999999999929], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.999999999999915, "smallest_bitstrings": ["00111110011010"], "largest_eigenvalue": 27.000000000000057} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.32666550170471775) q[0];
cx q[5], q[0];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[5], q[10];
rz(0.32666550170471775) q[10];
cx q[5], q[10];
cx q[0], q[10];
rz(0.32666550170471775) q[10];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[14] c;
qubit[14] 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];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[10];
rz(x0) q[10];
cx q[5], ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIIIZ",
"IIIZIIIIZIIIII",
"IIIZIIIIIIIIIZ",
"IIIZZIIIIIIIII",
"IIZIIIIIIIIIIZ",
"IIZZIIIIIIIIII",
"IIZIZIIIIIIIII",
"IIIIIIZIZIIIII",
"IIIIZIZIIIIIII",
"IIIIIZIIZIIIII",
"IIIZIZIIIIIIII",
"IIIIZZIIIIIIII",
"IIIIIZZIIIIIII",
"IZIIIIIIIIIIIZ",
"IZIZIIIIIIIIII",
"IZZIIIIIIIIIII"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
0.5,
0.5,
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0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0... | 0.414152 | [
0.32666550170471775,
-3.286721336290065e-8,
-0.557738342174517
] | {
"n_parameters": 3,
"n_qubits": 14,
"optimal_eigenvalue": -8.999999999999929,
"target_ratio": 0.97,
"target_value": -8.729999999999931
} | 93 |
a36f48b36cc963498e0495b319334d7f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [112, 114], "expectation_value": -6.139334721045862, "params": [0.048100000000000004, 0.0548, 0.10550000000000001, 0.1131, 0.5975, 0.5968, 0.5991000000000001, 0.6049, 0.6008, 0.6025, -0.0031000000000000003, 0.0005, -0.0016, -0.006, 0.45470000000000005, 0.4539, -0.0011, -0.0013000000000000002, 0.0520000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110001101", "010101101"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.11514286027230743) q[0];
rz(-0.1373801926307216) q[0];
ry(-0.05817069198124607) q[1];
ry(0.7733411531959897) q[2];
ry(0.7207688229730178) q[3];
ry(0.7721755433869024) q[4];
ry(0.010046106625804262) q[5];
ry(-0.015438661870354042) q[6];
ry(0.5216468407848172) 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": []} | [
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIZIIZIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIIZIIIZI",
"IIIZIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IZIZIIIII",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIIZI",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIZI",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-1,
-1.5,
-0.5
] | 0.973125 | [
0.11514286027230743,
-0.05817069198124607,
0.7733411531959897,
0.7207688229730178,
0.7721755433869024,
0.010046106625804262,
-0.015438661870354042,
0.5216468407848172,
-0.0809907134589285,
-0.2747603852614432,
-0.08937305643924066,
-0.49235740489002294,
0.18543801044199604,
-0.033493549241... | {
"n_parameters": 68,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 9 |
d55d504e597705d8581d37ec0d2e41ca | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -0.7474661223387274, "params": [[0.06620000000000001, 0.07740000000000001, 0.0738], [-0.055400000000000005, -0.07540000000000001, -0.0703]], "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.014434402262782805, 0.016489521508031804], "opt... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6828792687147329) q[0];
h q[1];
ry(1.5288445153467216) q[1];
h q[2];
h q[3];
ry(1.5288445153467216) q[3];
h q[4];
ry(1.4916621282624816) q[4];
h q[5];
ry(0.7458310641312408) q[5];
cx q[2], q[5];
ry(-0.7458310641312408) q[5];
cx q[2], q[5];
ry(0.59828678975... | OPENQASM 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",
"ZIIIIZI",
"ZIIIIIZ",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"ZIZIIII",
"IIZZIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IZIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII"
] | [
-0.25,
-0.75,
0.5,
-0.5,
-1,
-0.5,
-0.25,
-0.25,
-0.25,
0.75,
-0.25,
-0.5,
-0.5,
-0.5,
0.75,
0.25
] | 0.989602 | [
1.5288445153467216,
1.4916621282624816,
1.550097850061895,
-1.3657585374294658,
1.196573579508862,
0.11369926623801563,
-0.014047065055423413,
0.09207660432302629,
-0.10038361002430576,
0.08382100900060677,
0.15687837360702134,
-0.10724578865064746,
0.0600104112675679,
0.05940034969983188,... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 1 |
-551219938797709772 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11], [6, 7], [4, 6], [10, 2], [8, 11], [8, 1], [3, 7], [10, 3], [3, 6], [0, 4], [10, 11], [2, 11], [8, 3], [0, 5], [1, 2], [1, 5], [2, 7], [2, 3], [9, 2], [8, 0], [9, 4], [9, 10], [0, 10], [11, 6], [0, 2], [8, 6], [8, 2], [3, 11], [2, 6], [9, 5], [0, ... | {"states": [3589, 3845], "expectation_value": -0.37705790503742176, "params": [[[1.8199, 0.0098], [1.8281, 0.009300000000000001], [1.7612, 0.0071], [1.6697000000000002, 0.0036000000000000003], [1.3151000000000002, 0.0002], [1.3087, 0.0055000000000000005], [1.3929, 0.0017000000000000001], [1.3651, 0.0026000000000000003]... | 0.5 * (Z(9) @ Z(11)) + 0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(10) @ Z(11)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.0, "smallest_bitstrings": ["111000010101", "111100000101", "000111101010", "110100010101", "001001101010", "110110010101", "000011111010", "001011101010"], "largest_eigenvalue": 20.... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(2.9685373977601084) q[0];
rz(-0.12124166608072412) q[0];
rx(3.099641666235348) q[1];
rz(0.05343383871616133) q[1];
rx(3.0373674403494153) q[2];
rz(0.23937347976226367) q[2];
rx(3.0952616736373835) q[3];
rz(-0.026628053014915665) q[3];
rx(-0.16222519135902874) 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": []} | [
"ZIZIIIIIIIII",
"ZIIIIZIIIIII",
"IIZIIZIIIIII",
"IIIIZZIIIIII",
"IIZIIIIZIIII",
"IIIIIZIZIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IZIIZIIIIIII",
"ZIIIIIIIIZII",
"IIZIIIIIIZII",
"IIIIIZIIIZII",
"IIIIZIIIIZII",
"IIIIIIIZIZII",
"IZIIIIIIIZII",
"ZIIZIIIIIIII",
"IIZZIIIIIIII",
"IIIZIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0... | 0.976295 | [
2.9685373977601084,
-0.12124166608072412,
3.099641666235348,
0.05343383871616133,
3.0373674403494153,
0.23937347976226367,
3.0952616736373835,
-0.026628053014915665,
-0.16222519135902874,
0.9902017077849498,
-0.1346472548209219,
1.8934726678438856,
-0.40145912220307245,
-0.3021491961366891... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 36 |
b4386623ef42d59378644c97d49e9610 | 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": [94, 93], "expectation_value": -17.8360608964411, "params": [[-0.0359, -0.005, -0.0068000000000000005], [0.0603, 0.046900000000000004, 0.0488]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.013198270206228713, 0.01621225985158565], "optimization_time": 5.2964687... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10100010"], "largest_eigenvalue": 132.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08721884646855041) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08721884646855041) q[2];
cx q[1], q[2];
h q[3];
cx q[2], q[3];
rz(0.08721884646855041) q[3];
cx q[2], q[3];
rz(-1.0730503463760335) q[3];
rx(1.105039714593039) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
11,
2,
7,
5.5,
18,
19,
5,
10.5
] | 0.977482 | [
0.08721884646855041,
-1.310400955301092,
0.8609257949685372,
1.1797804650125223,
-1.0730503463760335,
-1.7402874989964554,
-1.2157574997078007,
0.7222803303040167,
-1.250584025873095,
1.1050397145930393,
-0.2453067931826156,
-0.48065206144719297,
0.5272825792139454,
-0.38909403682682453,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 62 |
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": -3.5428195900350277, "params": [[[0.0015, 0.0001], [0.0026000000000000003, 0.0023], [0.0025, 0.0095], [1.5981, 0.001], [1.598, 0.0086], [0.0026000000000000003, 0.0099], [0.0023, 0.0009000000000000001], [-1.586, 0.0095]]], "bitstrings": ["11100111", "11100110"], "total_optimizat... | -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) | 1 | 8 | 1 | {"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] 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] ... | {"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 |
1a4362188b6951d8767035d8d38385f1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [100, 19], "expectation_value": -0.5946279916227807, "params": [[-0.0539, -0.036000000000000004, -0.0461], [0.0714, 0.0487, 0.057800000000000004]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.011243251665549358, 0.01134931928224343], "optimization_time": 4.070905... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(4) | 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": ["0011011", "1101100", "1001101", "1011001", "0001111"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.12422553524644124) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.12422553524644124) q[5];
cx q[3], q[5];
cx q[0], q[5];
cx q[3], q[2];
rz(-0.12422553524644124) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.124... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"ZIIIIIZ",
"ZIIIIZI",
"IIIZZII",
"IIZZIII",
"ZIZIIII",
"IIZIZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
0,
-0.5,
-1
] | 0.971459 | [
-0.12422553524644124,
1.0955689621565339,
1.0287718033480338,
-1.036892713484576,
-0.5552627842854686,
0.8878467301251858,
0.2644854273734193,
0.008214563098826413,
0.4014394529078914,
-0.32039970371211435,
0.2044707146182576,
-0.402957759830861,
0.4611208468758937,
0.37871111682101216,
... | {
"n_parameters": 21,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 44 |
5685d04b4306b22ae56a2bbc733b9334 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [301, 429], "expectation_value": -1.9241493089950121, "params": [[0.004200000000000001, 1.0093, 0.9916, 0.06280000000000001, 0.9944000000000001, 0.1905, 0.9780000000000001, 0.9832000000000001, 0.4807, 0.9902000000000001], [-0.0173, 0.6835, -0.0666, 0.0014, 0.9991000000000001, 0.16670000000000001, 0.4788, 0.1... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(7) @ Z(4)) + 0.06... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0110011000", "1010011000", "1000101001", "1101000001"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-0.49282358549026595) q[1];
cx q[0], q[1];
ry(0.49282358549026595) q[1];
cx q[0], q[1];
ry(1.1446259845620295) q[0];
ry(-0.6888141989310146) q[1];
ry(-0.19217653237367516) q[2];
rz(-pi) q[2];
h q[3];
ry(1.4112833892421122) q[3];
cx q[3], q[0];
ry(-0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIZIII",
"IIIIIZIIZI",
"IIIZIIIIZI",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IIIZIZIIII",
"IIZIIZIIII",
"IZIIIZIIII",
"IIZZIIIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"IIIZIZIIZI",
"IIZIIZIIZI",
"IZIIIZIIZI"... | [
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0... | 0.996069 | [
-1.512573322416855,
-1.2799726973009975,
1.4112833892421122,
1.4283200724327585,
-0.9856471709805319,
0.8613116077479857,
-0.19729419424044806,
-0.5757332536939542,
0.5666287536280875,
-0.22616189047412066,
0.13268498545644442,
-0.19868435239417664,
-0.1201447435527441,
0.2739459079713497,... | {
"n_parameters": 18,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
17639781641b88f9ffa836608d3b637d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -28.06701025521806, "params": [[0.0264, -0.0032, 0.009000000000000001, 0.0025], [-0.06770000000000001, -0.0409, -0.0414, -0.023700000000000002]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.012145621121499894, 0.0143291760282118... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 174.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.00853918573311922) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.00853918573311922) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.00853918573311922) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.00853918573311922) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIIIZ",
"IIIZIZII",
"IIZIIIIZ",
"IIZIIZII",
"IIZZIIII",
"IIIIZIIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11.5,
15,
22.5,
20.5,
14.5,
22,
5.5,
-1.5
] | 0.974159 | [
-0.00853918573311922,
-1.46907002646597,
0.9850051801492483,
-1.7030247221684855,
-1.4177978208095698,
-1.4428484379449076,
-1.7150907024388522,
1.9780572392671765,
1.482166439868953,
1.6093899059678605
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -80,
"target_ratio": 0.97,
"target_value": -77.6
} | 39 |
cff27a3576fe0b6b8465ef6c1f1fffb6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [71, 67], "expectation_value": -4.247962106999208, "params": [0.8525, -0.0014, 0.0025, 0.504, -0.0021000000000000003, 0.4792, 0.0012000000000000001, 0.5716, 0.7282000000000001, 0.11850000000000001, 0.9092, -0.0007, 0.9084000000000001, -0.0022, 0.8521000000000001, 0.0, 0.0038, 0.0081, -0.0015, 0.0035, 0.00130... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1111000", "0111100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.8128659145274656) q[0];
rz(-0.2952438789230576) q[0];
rx(0.6933629268332221) q[1];
rz(0.07940679664175575) q[1];
rx(0.045386415893270894) q[2];
rz(0.09676518196606905) q[2];
rx(0.7523197199925042) q[3];
rz(-0.016029213694412264) q[3];
rx(0.6216135896515637) 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZIZIII",
"IZIIIZI",
"ZIIZIII",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IIIIIZI",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-1,
-1.5,
-1,
-1.5,
-1,
-0.5
] | 0.973967 | [
0.8128659145274656,
-0.1390143916126529,
0.6933629268332221,
0.07940679664175575,
0.045386415893270894,
0.09676518196606905,
0.7523197199925042,
-0.016029213694412264,
0.6216135896515637,
0.0032004667758108937,
0.6002774011236465,
0.28396319501985423,
0.20580371551605803,
0.173707641217086... | {
"n_parameters": 136,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 22 |
-8734108314577118011 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 10, 11], [8, 1, 3], [10, 4, 5, 7], [0, 1, 5, 9, 11], [2, 3, 4, 8, 9, 10], [0, 9, 10, 3], [1, 3, 4, 6, 9, 11], [8, 1, 11, 5], [0, 1, 4, 6, 10, 11], [0, 4, 6, 7, 9, 11], [0, 5, 6, 7, 8, 9, 10, 11], [1, 2], [0, 1, 4, 5, 6, 9, 10], [1, 3, 4, 5... | {"states": [2923, 2939], "expectation_value": -4.429487773630597, "params": [1.5833000000000002, 1.5635000000000001, 0.0026000000000000003, 0.0026000000000000003, 1.5741, 1.5729, 1.5773000000000001, 1.5692000000000002, 3.6326, 2.6531000000000002, 1.5782, 1.5588000000000002, 1.5815000000000001, 1.5645, -0.7934, -0.7934,... | 0.08095238095238094 * (Z(0) @ Z(2)) + 0.11428571428571427 * (Z(3) @ Z(2)) + 0.16428571428571426 * (Z(3) @ Z(0)) + 0.11428571428571427 * (Z(4) @ Z(2)) + 0.17142857142857143 * (Z(4) @ Z(0)) + 0.3142857142857143 * (Z(4) @ Z(3)) + 0.05714285714285714 * (Z(5) @ Z(2)) + 0.1488095238095238 * (Z(5) @ Z(0)) + 0.3904761904761904... | 13 | 12 | 1 | {"smallest_eigenvalues": [-4.453571428571428], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.404761904761905, "smallest_bitstrings": ["010010000100"], "largest_eigenvalue": 19.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.5576367827403963) q[0];
rz(0.001246870872390332) q[0];
ry(-0.045232126099868895) q[1];
ry(1.5455804711439614) q[2];
ry(1.6588681873626017) q[3];
ry(3.549761803249849) q[4];
ry(1.593753017533481) q[5];
ry(1.4540120861581798) q[6];
ry(-0.9609399131208792) q[7];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIIZ",
"IZIIIIIIZIII",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIIZ",
"ZIIIIIIIZ... | [
0.08095238095238094,
0.11428571428571427,
0.16428571428571426,
0.11428571428571427,
0.17142857142857143,
0.3142857142857143,
0.05714285714285714,
0.1488095238095238,
0.3904761904761904,
0.3309523809523809,
0.08095238095238094,
0.20595238095238094,
0.2476190476190476,
0.22142857142857142,
... | 0.988068 | [
1.5576367827403963,
-0.045232126099868895,
1.5455804711439614,
1.6588681873626017,
3.549761803249849,
1.593753017533481,
1.4540120861581798,
-0.9609399131208792,
1.508613741586955,
0.023919555392122333,
1.5763023778331087,
1.5906249561501458,
0.002493741744780664,
0.06341236069897425,
-2... | {
"n_parameters": 43,
"n_qubits": 12,
"optimal_eigenvalue": -4.453571428571428,
"target_ratio": 0.97,
"target_value": -4.319964285714286
} | 1 |
40969da677d24132a72158e32478fe04 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1023], "expectation_value": -18.134961010364478, "params": [[[0.0022, 1.6046], [0.0024000000000000002, 0.0023], [0.0021000000000000003, 0.0024000000000000002], [0.0018000000000000002, 0.0022], [0.0018000000000000002, 0.0018000000000000002], [0.0016, 0.0018000000000000002], [-0.0029000000000000002, 0.0025... | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(6)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 *... | 15 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 28.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
ry(0.7066324147453441) q[2];
cx q[1], q[2];
ry(-0.7066324147453441) q[2];
cx q[1], q[2];
ry(1.2869464833988842) q[1];
h q[3];
ry(0.7066324147453441) q[3];
h q[4];
ry(0.7066324147453441) q[4];
cx q[2], q[4];
ry(-0.7066324147453441) q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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... | {"node": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIZIIIZII",
"IIIZIIIIIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIZIIIIZI",
"IIIIIZIZII",
"IIIIIZIIIZ",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIIZZII",
"IIIIIIZIIZ",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIIZIIZII",
"IIIIZIZIII",
"ZIZIIIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIIZII"... | [
-3,
1,
-2,
-3,
1,
-2.5,
-2.5,
0.5,
0.5,
-2,
-3,
0.5,
0.5,
0.5,
0.5,
-1.5,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
1
] | 0.928444 | [
1.4132648294906882,
2.5738929667977684,
-1.255074313594639,
1.4387769171296734,
-1.6687013665523494,
0.008526026845057422,
0.04794513929195872,
-0.07827619789188989,
-0.004845141037823551,
0.894034386651769,
3.2953216653543653,
0.5825904195418684,
-0.1991448859798608,
-0.08209510145790061,... | {
"n_parameters": 71,
"n_qubits": 10,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 500 |
-2967511182053951740 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5], [2, 4], [1, 4, 5, 6], [0, 1, 3], [0, 5], [2, 3, 5]]} | {"states": [58, 46], "expectation_value": -1.870636993417326, "params": null, "bitstrings": ["1000101", "1010001"], "total_optimization_steps": 42, "probabilities": [0.0694712886090836, 0.8387856720321355], "optimization_time": 56.25410223007202} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.08333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["1010001", "1000100"], "largest_eigenvalue": 4.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.004554705446466444) q[3];
cx q[4], q[3];
h q[5];
cx q[4], q[5];
rz(0.002646402352526943) q[5];
cx q[4], q[5];
cx q[3], q[5];
cx q[4], q[2];
rz(1.5523342611046829) q[2];
cx q[4], q[2];
cx q[4], q[1];
rz(0.021368... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIZZIII",
"IZZIIII",
"IZIZIII",
"IIZIZII",
"IIIZZII",
"IZIIZII",
"IIZIIZI",
"IIIZIZI",
"IZIIIZI",
"ZIZIIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZIIZ",
"IZIIIIZ",
"IIIIIZZ",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"IIIIZII",
"IIIIIZI",
"ZIIIIII",
"IIIIIIZ"
] | [
0.16666666666666666,
0.25,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.29166666666666663... | 0.770039 | [
0.004554705446466444,
0.002646402352526943,
0.004686508863234742,
1.5523342611046829,
0.021368359475629567,
0.29835834754634855,
0.0012820164314385459,
1.5391827868178949,
-0.8805365998579661
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -1.9166666666666665,
"target_ratio": 0.97,
"target_value": -1.8591666666666664
} | 224 |
f589aa270dfef1a199e9418113b678ca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -6.292258260740499, "params": [[[0.0034000000000000002, 0.018600000000000002], [-0.0023, -0.0013000000000000002], [-0.0033, -0.0021000000000000003], [-0.011300000000000001, 0.0021000000000000003], [-0.0005, -0.0022], [0.001, -0.0023], [0.0008, -0.0023], [-0.0056, -0.0082], [1... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "100010000"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022208305970681033) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.020696996434594557) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(0.022208305970681033) q[3];
cx q[0], q[3];
h q[4];
cx q[1], q[4];
rz(-0.020696996434594557) 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": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIZIIZI",
"IIIIZIZII",
"IIIZIIIZI",
"IIIZIIZII",
"IIZIIIZII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIZIII",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"... | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
1.25,
-0.5,
-0.5,
-0.25,
-0.5,
0.5,
-0.25,
0.25,
1,
-1,
-0.5,
0.25,
0.25,
-0.5
] | 0.678231 | [
0.022208305970681033,
-0.020696996434594557,
1.5894637833590732,
1.57870266388029,
1.57151023785753,
1.5756654594871098,
-1.574839400170795,
-1.205521904166171
] | {
"n_parameters": 8,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 270 |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [140, 12], "expectation_value": -2.418692170616555, "params": [[-0.031100000000000003, -0.0536], [0.027, 0.0524]], "bitstrings": ["111101110011", "111111110011"], "total_optimization_steps": 10, "probabilities": [0.00034664220321922224, 0.00035081289878943734], "optimization_time": 14.570061922073364} | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 1 | 12 | 2 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"], "largest_eigenvalue": 61.35714285714286} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.23187867410549912) q[3];
cx q[4], q[3];
rz(0.8132055690128235) q[3];
rx(0.035835034364257105) q[3];
rz(0.8132055690128235) q[4];
rx(0.035835034364257105) q[4];
cx q[4], q[3];
rz(-0.05443002659568791) q[3];
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": 3} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIIIZ",
"IIZZIIIIIIII",
"IIZIIIIIIIIZ",
"IIIZIIIIIIZI",
"IIIIIIIIIIZZ",
"IIZIIIIIIIZI",
"IIIZIIIIIZII",
"IIIIIIIIIZIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZZI",
"IIIZIIZIIIII",
"IIIIIIZIIIIZ",
"IIZIIIZIIIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"IIIZIZIIIIII",
"IIIIIZIIIIIZ",
"IIZIIZIII... | [
0.5,
1,
0.5,
1,
0.8571428571428572,
1,
1,
0.8571428571428572,
1,
1.7142857142857144,
-1,
-0.5,
-1,
-1,
-1,
-2,
-1,
-2,
-2,
-2,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
0.5,
1,
0.5,
0.5,
-0.5,
-1,
1,
1,
-1,
-2,
1,
-0.07142857142857142,
2.5,
1.14285714... | 0.935118 | [
-0.32731231516638337,
0.14897380147739106,
0.3033132207069555,
-0.2901323363886198,
-0.02932935189490087,
0.10782745201277463,
-0.2881621225257422,
1.141182308632574,
0.23187867410549912,
-0.6141242174422797,
0.03341520145894577,
0.6529864875408972,
0.6390851350237903,
0.859657635171111,
... | {
"n_parameters": 68,
"n_qubits": 12,
"optimal_eigenvalue": -12.214285714285715,
"target_ratio": 0.97,
"target_value": -11.847857142857144
} | 500 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [67, 1], "expectation_value": -5.206755526777769, "params": [[0.07540000000000001, 0.0693, 0.0709, 0.055400000000000005], [-0.077, -0.066, -0.0751, -0.067]], "bitstrings": ["10111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.027391296400915838, 0.031018411499014197], "optimization_ti... | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
-8986635722940970676 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4, 6, 7], [8, 0, 2, 6], [1, 2, 3], [0, 3, 4, 7], [8, 1, 7], [1, 4, 5], [8, 4, 6], [0, 2, 3, 5], [8, 1, 2], [0, 5, 6], [4, 5, 7], [2, 7], [8, 0, 3, 6], [3, 5, 6], [2, 4]]} | {"states": [182, 438], "expectation_value": -0.7468729276346089, "params": [[-0.1491], [0.16]], "bitstrings": ["101001001", "001001001"], "total_optimization_steps": 20, "probabilities": [0.0031080617374542444, 0.0031812476078969354], "optimization_time": 5.635266542434692} | 0.16666666666666666 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.41666666666666663 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.583333333333333, "smallest_bitstrings": ["001001001"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.3554337872543065) q[0];
h q[1];
ry(1.431417346597568) q[1];
h q[2];
ry(-0.3193562606197305) q[2];
h q[3];
ry(0.5908809614428133) q[3];
h q[4];
h q[5];
ry(-0.518990343132147) q[5];
h q[6];
ry(1.697273205774948) q[6];
cx q[6], q[3];
ry(-0.5908809614428133) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIZIIIZ",
"IIZIZIIII",
"IIZIIIIIZ",
"IZIIZIIII",
"IZIIIIIIZ",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIIIIIIZ",
"ZIZIIIIII",
"ZZIIIIIII",
"IIIIZIZII",
"IIIIIIZIZ",
"IIZIIIZII",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIZIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIIZIIZ",
"... | [
0.16666666666666666,
0.25,
0.41666666666666663,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.5,
0.25,
0.16666666666666666,
0.1666666666... | 0.972687 | [
1.697273205774948,
1.431417346597568,
1.3554337872543065,
-0.638712521239461,
0.86476438371085,
-0.5645652649759932,
0.978223439348262,
-1.037980686264294,
1.1817619228856266,
-0.5503332042213727,
0.4720006117729715,
-0.24241848254831552,
-1.1296360054475525,
0.41487690122180526,
0.55430... | {
"n_parameters": 37,
"n_qubits": 9,
"optimal_eigenvalue": -3.916666666666667,
"target_ratio": 0.97,
"target_value": -3.799166666666667
} | 7 |
7822247296100373396 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 4, 5, 7, 8], [0, 1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 5, 6, 8]]} | {"states": [191, 247], "expectation_value": -0.5183743864348489, "params": [[0.47590000000000005], [-0.4555]], "bitstrings": ["101000000", "100001000"], "total_optimization_steps": 50, "probabilities": [0.0039872133048853035, 0.004131218450686506], "optimization_time": 3.4326343536376953} | 0.07738095238095238 * (Z(0) @ Z(2)) + 0.07738095238095238 * (Z(3) @ Z(2)) + 0.07738095238095238 * (Z(3) @ Z(0)) + 0.05952380952380952 * (Z(4) @ Z(2)) + 0.08333333333333331 * (Z(4) @ Z(0)) + 0.05952380952380952 * (Z(4) @ Z(3)) + 0.07738095238095238 * (Z(5) @ Z(2)) + 0.10119047619047619 * (Z(5) @ Z(0)) + 0.07738095238095... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.9166666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.880952380952381, "smallest_bitstrings": ["100001000"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.007307038659868485) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(0.007307038659868485) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.007307038659868485) q[3];
cx q[0], q[3];
h q[4];
cx q[2], q[4];
rz(0.025087974978278044) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIIZIII",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"... | [
0.07738095238095238,
0.07738095238095238,
0.07738095238095238,
0.05952380952380952,
0.08333333333333331,
0.05952380952380952,
0.07738095238095238,
0.10119047619047619,
0.07738095238095238,
0.08333333333333331,
0.05952380952380952,
0.08333333333333333,
0.05952380952380952,
0.065476190476190... | 0.975478 | [
0.007307038659868485,
0.025087974978278044,
0.12149841767842143,
0.06318072511551082,
0.1330772632475094,
0.06583526860415126,
1.4586577327591757,
-1.5328873186634169,
1.4492762841004707,
-1.3798678007707963
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -0.9166666666666671,
"target_ratio": 0.97,
"target_value": -0.889166666666667
} | 81 |
f099da2cca44af333dfb81e09032822f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [325, 327], "expectation_value": -5.567925619794266, "params": [1.6135000000000002, 0.0025, 0.0015, 0.0039000000000000003, 1.6115000000000002, 0.0013000000000000002, 0.0015, 0.0015, 0.0015, 0.0035, 0.3294, 0.0039000000000000003, 1.612, 0.0011, 1.5989, 0.008, 1.6123, 0.0049, 0.009600000000000001, 0.0063, 0.00... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 18.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(1.987234389937048) q[0];
ry(2.593163524972309) q[0];
rz(-1.2498228485533796) q[0];
rz(0.9285964368570134) q[1];
ry(0.11308442630087848) q[1];
rz(-1.5524564722667402) q[1];
rz(2.6808513997426946) q[2];
ry(2.832468321597414) q[2];
rz(-0.9018848932692078) q[2];
rz(-1.92... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIZIIIIZ",
"IIIZIIIZI",
"IIIZZIIII",
"IIIIZIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIZIII",
"IZIIIIIZI",
"IZIIZIIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IIIIIZZII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIZIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIZIIIIII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-2,
-2,
-1.5,
-1,
-0.5,
0
] | 0.971888 | [
0.3545305017039303,
0.27642604159209805,
-0.002686044982803587,
-0.6282996754118448,
1.0519102992831564,
0.2957742973296429,
-0.04990483907987246,
-0.7700859495112119,
-0.1815243214246524,
-0.5434547314690426,
-0.2917635239306378,
0.2480628800889803,
1.676311753280283,
0.24714343241486658,... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 24 |
cfcf196786d6d074ade797fa6078553a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capaci... | {"states": [390, 389], "expectation_value": -3.2432216828797165, "params": [0.47590000000000005, 0.1635, 0.8091, 0.0063, 0.8105, 0.0081, 0.0026000000000000003, 0.5851000000000001, 0.0, -0.15560000000000002, 0.0032, 0.5997, 0.0032, -0.596, 0.7966000000000001, 0.1409, 0.8052, 0.366, 0.803, 0.19010000000000002, 0.4818, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(5)) + 0.5 ... | 18 | 10 | 2 | {"smallest_eigenvalues": [-6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667, -6.166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.833333333333334, "smallest_bitstrings": ["1001111010", "1001111001", "1000101001", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.38396551843230375) q[1];
cx q[2], q[1];
rz(-0.4140865431265359) q[1];
rx(1.4388351855267667) q[1];
rz(-0.4140865431265359) q[2];
rx(1.4388351855267667) q[2];
cx q[2], q[1];
rz(0.30052165692203675) q[1];
cx q[2], q[1];
rz(-0.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIZIIIIIIZ",
"IIIIZIZIII",
"IIIIIIZIIZ",
"IIZIIIZIII",
"IIIIZZIIII",
"IIIIIZIIIZ",
"IIZIIZIIII",
"IIIIIZZIII",
"IZIIZIIIII",
"IZZIIIIIII",
"IZIIIIZIII",
"ZIIIZIIIII",
"ZIZIIIIIII",
"ZIIIIIZIII",
"ZZIIIIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IIIZIIZIII"... | [
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-1,
-1,
0.33333333333333337,
0,
0.33333333333333337,
1.5,
0,
-0.5,
1.5,
1.5,
-1.5,
0.6666666666666667,
0.6666666666666667
] | 0.970291 | [
0.034539384198122705,
0.1583793320365209,
0.13174966890782872,
0.023971881933780113,
0.38396551843230375,
0.9058271732652498,
-0.8544721743832904,
-0.8296736871253323,
-0.4140865431265362,
1.4388351855267667,
0.07083576534550291,
0.6657468360247684,
0.4231701738103223,
-0.5671362906981388,... | {
"n_parameters": 37,
"n_qubits": 10,
"optimal_eigenvalue": -6.166666666666667,
"target_ratio": 0.97,
"target_value": -5.9816666666666665
} | 261 |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [129, 1], "expectation_value": -13.999993443837631, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 23, "probabilities": [6.489457528111626e-07, 0.9999993343841902], "optimization_time": 24.921671628952026} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.12795288251019715) q[0];
rz(0.24012887220426693) q[0];
rx(0.0892816584470969) q[1];
rz(0.12199048082542863) q[1];
rx(-0.012922376209588068) q[2];
rz(0.4041909632624687) q[2];
rx(0.13809242364631746) q[3];
rz(0.4687173788579586) q[3];
rx(-0.01794629686584754) q[4];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIZIZ",
"IIZIIIIZ",
"IIIIIZZI",
"IIZIIIZI",
"IIZIZIII",
"IIIIZIZI",
"IZZIIIII",
"IZIIZIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IZIZIIII",
"IIIIIZII",
"IIIIIIIZ",
"IIZIIIII",
"IIIIIIZI",
"IIIIZIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII"
] | [
-0.75,
-1.5,
-1.25,
-0.25,
-0.25,
-0.25,
-1.5,
-2,
2.5,
-1,
-1.75,
0.5,
-0.25,
1,
-0.75,
-1.5,
1.25,
1.5,
-1.75
] | 0.980057 | [
0.12795288251019715,
0.36515474621129923,
0.08928165844709691,
0.3610421282986562,
-0.012922376209588065,
0.6757660327954275,
0.13809242364631746,
0.7349772309805058,
-0.01794629686584754,
0.6399489508110254,
0.02283802795312584,
0.4418410307019969,
0.13336840086936805,
0.48443543887262297... | {
"n_parameters": 61,
"n_qubits": 8,
"optimal_eigenvalue": -14,
"target_ratio": 0.97,
"target_value": -13.58
} | 7 |
-4256392746588278748 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 11, 6], [9, 11, 7], [0, 1, 4, 5, 6, 7, 8, 9, 10], [1, 2, 3, 10, 11]]} | {"states": [507, 1531], "expectation_value": -0.6428162598889536, "params": [0.7358, 0.7333000000000001, 0.7962, 0.8487, 0.7357, 0.7301000000000001, 1.0346, 1.0099, 0.8988, 1.0126, 1.3486, 1.3558000000000001, 1.1466, 1.1477000000000002, 1.3564, 1.3605, 1.3608, 1.3575000000000002, 0.7185, 0.7182000000000001, 1.3319, 1.3... | 0.16666666666666666 * (Z(0) @ Z(11)) + 0.16666666666666666 * (Z(6) @ Z(11)) + 0.18055555555555555 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(11)) + 0.013888888888888888 * (Z(9) @ Z(0)) + 0.013888888888888888 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(11)) + 0.013888888888888888 * (Z(7) @ Z(0)) + 0.0138888... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0333333333333334, "smallest_bitstrings": ["101100010000", "100100000100", "101000000100", "101100000100"], "largest_eigenvalue": 3.99999999999999... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.12456226899844527) q[0];
rz(0.04803452324831427) q[0];
ry(1.2861221181992182) q[1];
ry(0.1104191191673347) q[2];
ry(1.5033128286075976) q[3];
ry(0.7748880996733014) q[4];
ry(1.5384011052947748) q[5];
ry(1.5969064731160665) q[6];
ry(1.7885689022127425) q[7];
ry(1.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"IIIIIZIIIIIZ",
"ZIZIIIIIIIII",
"IIZIIIIIIIIZ",
"IIZIIZIIIIII",
"ZIIIZIIIIIII",
"IIIIZIIIIIIZ",
"IIIIZZIIIIII",
"IIZIZIIIIIII",
"ZIIIIIIIIIZI",
"IIIIIIIIIIZZ",
"IIIIIZIIIIZI",
"IIZIIIIIIIZI",
"IIIIZIIIIIZI",
"IIIIIIIZIIIZ",
"IIIIIZIZIIII",
"IIZIIIIZI... | [
0.16666666666666666,
0.16666666666666666,
0.18055555555555555,
0.16666666666666666,
0.013888888888888888,
0.013888888888888888,
0.16666666666666666,
0.013888888888888888,
0.013888888888888888,
0.18055555555555555,
0.05,
0.013888888888888888,
0.013888888888888888,
0.013888888888888888,
0.... | 0.978313 | [
0.12456226899844527,
1.2861221181992182,
0.1104191191673347,
1.5033128286075976,
0.7748880996733014,
1.5384011052947748,
1.5969064731160665,
1.7885689022127425,
1.1629083350228866,
-0.1919830633015342,
1.1939930621198176,
1.5795468242395794,
0.09606904649662854,
0.0026462164415437216,
-0... | {
"n_parameters": 46,
"n_qubits": 12,
"optimal_eigenvalue": -1.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.0023333333333335
} | 20 |
03a8941dd9c8b7549060b6323e060e33 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"sour... | {"states": [235, 107], "expectation_value": -3.480759315015924, "params": [[[0.06670000000000001, -0.41750000000000004], [0.7427, -0.0476], [0.9032, -0.0011], [0.9081, 0.0011], [-0.0048000000000000004, -0.4682], [0.9115000000000001, -0.0009000000000000001], [-0.0008, -0.46680000000000005], [0.8360000000000001, 0.005500... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -1.0 * Z(0) + -1.5 * Z(6) + -0.5 * Z(8) + -0.5 * Z(7) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["100011010", "110010100", "100010110"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.03754049422048394) q[0];
rz(-0.256930833027315) q[0];
ry(-0.03754049422048394) q[1];
rz(-0.10471484262683131) q[1];
cx q[1], q[0];
ry(0.11307850588598467) q[1];
rz(0.09211325839040468) q[1];
ry(1.6291905848451864) q[2];
rz(-0.00324415011663097) q[2];
ry(1.48486780... | OPENQASM 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": []} | [
"IIIZIIIIZ",
"IIZZIIIII",
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IZZIIIIII",
"IZIIIIIZI",
"IIZIZIIII",
"ZIIIZIIII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIIZII",
"IIIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1.5,
-0.5,
-0.5,
0,
-1.5,
0,
0
] | 0.981214 | [
-0.03754049422048394,
-0.256930833027315,
-0.10471484262683131,
1.6291905848451864,
-0.00324415011663097,
1.4848678016755525,
0.21409693331398605,
1.5727938740837253,
-0.07213689592916916,
1.4245671029901459,
1.3349623430952027,
0.175302744510975,
-1.454862918665946,
0.08017393525916189,
... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 18 |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [5, 7], "expectation_value": -3.471095092863698, "params": [[[0.995, 0.0041], [1.1685, 0.006900000000000001], [1.1788, 0.0027], [1.1780000000000002, 0.0009000000000000001], [1.5998, 0.009300000000000001], [1.5907, 0.0067], [1.5917000000000001, 0.007200000000000001]]], "bitstrings": ["1111010", "1111000"], "t... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
rz(-1.5707963530338787) q[0];
rx(1.5707962896601955) q[0];
h q[1];
rz(2.6179939068628233) q[1];
rx(1.5707962896601952) q[1];
h q[2];
rz(1.570796224356533) q[2];
rx(1.5707962896601952) q[2];
h q[3];
rz(2.6179939068628233) q[3];
rx(1.5707962896601952) q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": 4} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.25,
2.25,
2.25,
2.25,
2.25,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.25,
2.5,
2.25,
2.5,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.25,
-3.25,
-3,
-2.75,
-2.75
] | 0.84375 | [
9.350486944272168e-10,
1.570796358080628,
-1.5707963530338784,
2.6179939068628233,
1.5707962243565334,
1.5707962896601955
] | {
"n_parameters": 6,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 161 |
9d0fda9991561362ccfc12e66c38b9f5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 15, "source": 1, "target": 3}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1... | {"states": [190, 122], "expectation_value": -19.258547894957474, "params": [[0.0029000000000000002, 0.0236, 0.0027], [-0.0194, -0.051800000000000006, -0.0507]], "bitstrings": ["01000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.007642494845748595, 0.00902082740123706], "optimization_time": 8.60... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(4)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(2) @ Z(4)) + 3.5 * (Z(2) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 182.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.05915602651802649) q[0];
rz(-0.15469163530750052) q[0];
rx(3.4191362901712914) q[1];
rz(0.45246714787639103) q[1];
rx(0.17983961904902268) q[2];
rz(-0.05096309531274679) q[2];
rx(3.0050058723652) q[3];
rz(1.0763901855253808) q[3];
rx(3.085973281590634) q[4];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZZIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZIZII",
"IIIIZZII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIIIZIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIIIZIII",
"IIIIIZI... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
20,
10.5,
20.5,
23,
18,
6,
15,
6.5
] | 0.971457 | [
-0.05915602651802648,
-0.1292100876511263,
3.4191362901712914,
0.45246714787639103,
0.17983961904902268,
-0.05096309531274679,
3.0050058723652,
1.0763901855253808,
3.085973281590634,
0.20126058805128294,
3.3609533359992207,
0.3973179116121901,
0.08371651178469919,
-0.042244168201899246,
... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 21 |
-5716096059612415252 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 2, 3, 4, 5, 6, 10], [5, 7], [0, 2, 3, 8, 9, 10], [0, 1, 3, 5, 6, 8, 9], [0, 2, 3, 5, 6], [9, 3, 4], [3, 6, 7, 9, 10], [2, 3, 5, 8, 10], [1, 4, 5, 9, 10], [0, 1, 2, 7, 8, 10], [2, 4, 5, 8, 9], [1, 4, 5, 6, 8, 10], [1, 4, 5, 6, 8, 9], [0, 1, 2, 3, 6, 7, 8, ... | {"states": [1757, 1375], "expectation_value": -2.5062801594611934, "params": [[0.3633], [-0.3639]], "bitstrings": ["00100100010", "01010100000"], "total_optimization_steps": 40, "probabilities": [0.0030177290834219835, 0.003055579036971913], "optimization_time": 38.611786127090454} | 0.14166666666666666 * (Z(1) @ Z(2)) + 0.22499999999999998 * (Z(3) @ Z(2)) + 0.08928571428571427 * (Z(3) @ Z(1)) + 0.12380952380952381 * (Z(4) @ Z(2)) + 0.14047619047619048 * (Z(4) @ Z(1)) + 0.24047619047619045 * (Z(4) @ Z(3)) + 0.1738095238095238 * (Z(5) @ Z(2)) + 0.1880952380952381 * (Z(5) @ Z(1)) + 0.1714285714285714... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.7071428571428564], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.683333333333334, "smallest_bitstrings": ["01010100000"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.010253171398872808) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.005378388353502978) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.035116448267389425) q[3];
cx q[1], q[3];
h q[4];
cx q[2], q[4];
rz(-0.02386849659361239) 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": []} | [
"IIIIIIIIZZI",
"IIIIIIIZZII",
"IIIIIIIZIZI",
"IIIIIIZIZII",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIIZIIIZI",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIZII",
"IIIIZIIIIZI",
"IIIIZIIZIII",
"IIIIZIZIIII",
"IIIIZZIIIII",
"ZIIIIIIIZII",
"ZIIIIIIIIZI",
"ZIIIIIIZIII",
"ZIIIIIZII... | [
0.14166666666666666,
0.22499999999999998,
0.08928571428571427,
0.12380952380952381,
0.14047619047619048,
0.24047619047619045,
0.1738095238095238,
0.1880952380952381,
0.17142857142857143,
0.19047619047619047,
0.15833333333333333,
0.22261904761904758,
0.18928571428571428,
0.09047619047619047... | 0.970887 | [
-0.010253171398872808,
0.005378388353502978,
0.035116448267389425,
-0.02386849659361239,
-0.019089541903811746,
0.12507497425000866,
-0.05795373283276961,
-0.021117782915673615,
-0.057587292811671874,
0.0655311157992199,
-0.05317080902198366,
0.1096303618733108,
-0.004379393306093576,
-0.0... | {
"n_parameters": 51,
"n_qubits": 11,
"optimal_eigenvalue": -3.7071428571428564,
"target_ratio": 0.97,
"target_value": -3.5959285714285705
} | 409 |
03fc078c7a20f2a5bd889c5ded444a79 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1711, 1199], "expectation_value": -1.9617805810644229, "params": [0.5963, 0.5941000000000001, 0.39490000000000003, 0.3907, 0.1904, 0.1918, 0.402, 0.4047, 0.2031, 0.196, 0.5993, 0.6021000000000001, -0.0112, -0.0114, 0.5991000000000001, 0.6032000000000001, 0.5930000000000001, 0.5966, 0.5956, 0.5975, 0.595, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -2.4375, "small... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.7458612117327079) q[0];
ry(0.6495750082382797) q[1];
ry(0.19849836886601657) q[2];
ry(0.7945544215585383) q[3];
ry(0.45445253961516574) q[4];
ry(1.042695318827609) q[5];
ry(-0.13518844262444016) q[6];
ry(-0.03976612507910332) q[7];
ry(-0.10753231524194705) 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": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZIZ",
"IIIIIIIIZZI",
"IIIIIIIIZZZ",
"IIIIIIIZIIZ",
"IIIIIIZIIIZ",
"IIIIIZIIIIZ",
"IIIIIIZZIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIIIZZIIZ",
"IIIIIZIZIIZ",
"IIIIIZZIIIZ",
"IIIIIZZZIII",
"IIIIIZZZIIZ",
"IIIZZIIIIII",
"IIZIZIIIIII",
"IIIIIIIZIZI",
"IIIZIIIII... | [
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.0625,
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,
... | 0.972174 | [
0.7458612117327079,
0.6495750082382797,
0.19849836886601657,
0.7945544215585383,
0.45445253961516574,
1.042695318827609,
-0.13518844262444016,
-0.03976612507910332,
-0.10753231524194705,
0.5546264892243202,
0.6490274125333221,
-0.04158803016067646,
0.017186750120609447,
0.0983259434559137,... | {
"n_parameters": 88,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 79 |
9e8a866d2c0011b6946d4c64e758f31c | 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": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [3, 28], "expectation_value": -0.7012452376805668, "params": [[0.0665, 0.0526, 0.0743], [-0.0775, -0.0448, -0.057600000000000005]], "bitstrings": ["111100", "100011"], "total_optimization_steps": 10, "probabilities": [0.022835259950589628, 0.02451194896316559], "optimization_time": 4.752413511276245} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(1.0097347073373075) q[0];
rz(-0.14101462084387117) q[0];
rx(-0.38750982357956676) q[1];
rz(-0.3057211553890907) q[1];
cx q[1], q[0];
rz(0.13275230381341913) q[0];
cx q[1], q[0];
rx(1.3782189303544248) q[0];
rz(-0.29267031617775396) q[0];
rz(-0.09789635874452761) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZIZ",
"IZIIIZ",
"IZIZII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-1,
-1,
0
] | 0.971229 | [
1.0097347073373075,
-0.008262317030451896,
-0.38750982357956676,
-0.3057211553890907,
1.2302795857067115,
-0.013592108438004277,
1.1428987618315947,
0.21610326377545203,
-0.0945257361764085,
0.05751696828617267,
1.1584777199858318,
-0.024575436526478617,
1.269911032440262,
0.08978829929159... | {
"n_parameters": 69,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 20 |
1fc21af19f39ef7e600197f0903292a1 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [9714, 8688], "expectation_value": -5.931204031748874, "params": [[-0.2116, -0.4586], [0.5186000000000001, 0.2629]], "bitstrings": ["01101000001101", "01111000001111"], "total_optimization_steps": 80, "probabilities": [0.00382392778319779, 0.003823927783197791], "optimization_time": 19.28078007698059} | 0.5 * (Z(0) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(12) @ Z(0)) + 0.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(12)) + -0.5 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(1... | 1 | 14 | 2 | {"smallest_eigenvalues": [-8.666666666666618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666616, "smallest_bitstrings": ["01111000001111"], "largest_eigenvalue": 23.333333333333364} | OPENQASM 3.0;
include "stdgates.inc";
qubit[14] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(-0.021759544490300868) q[0];
cx q[9], q[0];
h q[10];
cx q[9], q[10];
rz(-0.8129178391790248) q[10];
cx q[9], q[10];
cx q[0], q[10];
rz(-0.021759544490300868) q[10];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIIIZ",
"IIIZZIIIIIIIII",
"IIIZIIIIIIIIIZ",
"IZIIZIIIIIIIII",
"IZIIIIIIIIIIIZ",
"IZIZIIIIIIIIII",
"IIIIZIIIIIZIII",
"IIIIIIIIIIZIIZ",
"IIIZIIIIIIZIII",
"IZIIIIIIIIZIII",
"IIIIZIIIIZIIII",
"IIIIIIIIIZIIIZ",
"IIIZIIIIIZIIII",
"IZIIIIIIIZIIII",
"IIIIIIIIIZZIII",
"IIIIZIIIZIIIII"... | [
0.5,
1,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
1,
-0.5,
-0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
0.5,
-0.5,
-0.5,
0.5,
0.33333333333333337,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5... | 0.944067 | [
-0.021759544490300868,
-0.8129178391790248,
0.08080362872148196,
0.1058946028515379,
-0.46131958992601974,
0.5690573855613122,
-0.785022796161106,
0.3347115905020982,
1.0860162814879026,
-0.09519359290037288,
-1.4354758230357065,
0.24337184934904005,
0.4734837317039878,
-0.5709464486832951... | {
"n_parameters": 25,
"n_qubits": 14,
"optimal_eigenvalue": -8.666666666666618,
"target_ratio": 0.97,
"target_value": -8.40666666666662
} | 300 |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | 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": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [5, 63], "expectation_value": -6.434790535420706, "params": null, "bitstrings": ["1111010", "1000000"], "total_optimization_steps": 63, "probabilities": [0.07175495237596136, 0.7330665385176253], "optimization_time": 59.561888456344604} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.01696964563984058) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.6257158851690002) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.8826680353858664) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(0.44149109525872793) q[5];... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIZIIZ",
"ZIIIIIZ",
"IIIZIZI",
"ZIIIIZI",
"IIIZZII",
"IIIIZZI",
"IZIZIII",
"IIZIZII",
"IZZIIII",
"IIIZIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IZIIIII",
"IIZIIII"
] | [
-0.5,
0.75,
-1.25,
-0.5,
-1,
-0.25,
-0.75,
-1,
-1.5,
0.5,
-0.25,
0.25,
-0.5,
-0.25,
-1.75,
2
] | 0.872663 | [
0.01696964563984058,
0.12295109747947061,
0.6257158851690002,
0.8826680353858664,
0.5860523152796467,
0.44149109525872793,
0.33128169600839774,
0.2852731024582777,
-1.0288623657695086,
0.5339911888699572,
-0.13975071708561476,
1.1869116100653803,
0.04328033325172488,
-0.8178563442900494,
... | {
"n_parameters": 24,
"n_qubits": 7,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 500 |
34fec832591d56601cbd146a15fec9ed | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [152, 156], "expectation_value": -1.2649686517817118, "params": [1.6019, 0.0081, 0.9964000000000001, 0.0008, 0.002, 0.0037, 1.607, 0.006900000000000001, 1.6097000000000001, 0.0077, 1.6006, 0.0055000000000000005, 1.2645, 0.0074, 1.0050000000000001, 0.0028, 0.0079, 0.0066, 0.0058000000000000005, 0.0077, 0.0094... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 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(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(6)) + -0.125 * (Z(0) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + 0.12... | 16 | 8 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.375, "smallest_bitstrings": ["10110001", "01100011", "01110100", "01100110", "10100011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.08399526504899095) q[0];
rz(0.2825788937886795) q[0];
rx(0.7951459296419685) q[1];
rz(0.2003437432581271) q[1];
rx(1.0221893354097433) q[2];
rz(-0.3092263127594003) q[2];
rx(1.0231214214866293) q[3];
rz(0.10389188217607151) q[3];
rx(0.970134509765303) q[4];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZIIIZ",
"IIZIIIIZ",
"IZIIIIIZ",
"IIZZIIII",
"IZIZIIII",
"IZZIIIII",
"IIZZIIIZ",
"IZIZIIIZ",
"IZZIIIIZ",
"IZZZIIII",
"IZZZIIIZ",
"IIIZIIZI",
"ZIIIIIZI",
"ZIIZIIII",
"ZIIZIIZI",
"ZIZIIIII",
"IZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
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,
0.5,
0.5,
-0.125,
-0.25,
-1,
-0.5,
0.125,
-0.125,
-0.125,
-0.25
] | 0.974076 | [
-0.08399526504899095,
0.11179873042160347,
0.7951459296419685,
0.2003437432581271,
1.0221893354097433,
-0.3092263127594003,
1.0231214214866293,
0.10389188217607151,
0.970134509765303,
0.1704895690175754,
0.36114319075678797,
0.4543183591063792,
0.6989834795043587,
-0.038232563756867066,
... | {
"n_parameters": 93,
"n_qubits": 8,
"optimal_eigenvalue": -68,
"target_ratio": 0.97,
"target_value": -65.96
} | 9 |
5bfd79024282ae69c62758a244a2de56 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [9, 12], "expectation_value": -2.4551628339052805, "params": null, "bitstrings": ["110110", "110011"], "total_optimization_steps": 18, "probabilities": [0.05733133303541498, 0.9026320751736394], "optimization_time": 14.246676445007324} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -0.75 * Z(0) + -0.75 * Z(1) + 0.0 * Z(2) + -0.25 * Z(3) + -0.5 * Z(4) + -0.2... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["111010", "110110", "110101", "110011"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(3.040705587759774) q[0];
ry(3.0322761206209288) q[0];
rz(0.23746657912877067) q[0];
rz(-0.5485384081350269) q[1];
ry(0.03463465039766057) q[1];
rz(1.8086014627808424) q[1];
rz(2.1740019225107847) q[2];
ry(2.742027400286282) q[2];
rz(-0.45482682963069987) q[2];
rz(0.8... | 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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"IIIZZI",
"IIIZZZ",
"IZZIII",
"IIZZII",
"ZIIZII",
"ZIZIII",
"ZIZZII",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.5,
-0.75,
-0.75,
0,
-0.25,
-0.5,
-0.25
] | 0.974004 | [
1.0529037450256176,
0.06477150500217821,
0.0632023087334098,
0.46017332254292537,
1.2192432119969236,
0.14088225722938502,
1.1314918741657554,
-0.05745195682464036,
-0.04240668812804869,
-0.5477397576739919,
-0.046155027306700576,
-0.6332603826055265,
1.1415462481792484,
-0.100403553526293... | {
"n_parameters": 31,
"n_qubits": 6,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 15 |
d4330ca50c7e11a2ef645e484effbde2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [191, 153], "expectation_value": -6.952654301488413, "params": [[-0.13520000000000001, -0.11910000000000001], [0.1401, 0.1381]], "bitstrings": ["101000000", "101100110"], "total_optimization_steps": 20, "probabilities": [0.017823264033839187, 0.023361466283805445], "optimization_time": 4.557348012924194} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 16.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.2622882689348001) q[0];
rz(-0.12539551542716332) q[0];
rx(-0.6420858985691934) q[1];
rz(0.02450966034577462) q[1];
rx(-0.003948278541108552) q[2];
rz(-0.12725017189151266) q[2];
rx(-0.2450817342347413) q[3];
rz(-0.14497568647068348) q[3];
rx(0.4737983588182048) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIZIIIIZ",
"IZIIIIZII",
"IZIIIIIIZ",
"ZIIIIIIIZ",
"ZZIIIIIII",
"IIIZIIIZI",
"IZIIIIIZI",
"ZIIIIIIZI",
"IIIIIZZII",
"IIIZIZIII",
"IZIIIZIII",
"IIZZIIIII",
"IZZIIIIII",
"IIZIIZIII",
"IIIIZIZII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIZIIIII",
"... | [
-1.25,
-0.25,
-0.5,
-0.75,
2.5,
-0.75,
-1.25,
-1.5,
-1.5,
-0.5,
-0.5,
-1,
-0.75,
-1.25,
-1,
-0.25,
-1,
-1,
-0.5,
-0.25,
1.25,
-0.75,
-0.75,
1.75,
0,
-3,
2.25
] | 0.97117 | [
-0.26228826893480006,
-0.36368508968482277,
-0.6420858985691934,
-0.1687732665922791,
-0.003948278541108552,
-0.10989513482201041,
-0.24508173423474128,
-0.23246293102332344,
0.4737983588182048,
0.06466018283837059,
-0.2620092086830588,
0.3056290733678249,
-0.1334774724548909,
-0.170745461... | {
"n_parameters": 178,
"n_qubits": 9,
"optimal_eigenvalue": -16.5,
"target_ratio": 0.97,
"target_value": -16.005
} | 21 |
b1983a1e4f06f774f7ec1ed4bb689b87 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [1754, 1758], "expectation_value": -2.5371328421081416, "params": [[[0.2283, 0.4698, 0.0053, 0.0064], [0.9550000000000001, 0.4717, 0.3952, 0.0028], [1.197, -0.0031000000000000003, 1.1954, 0.0034000000000000002], [1.2036, -0.0001, 1.1921000000000002, 0.001], [1.1976, 0.0026000000000000003, 1.1993, 0.003400000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 11 | 12 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.9375, "smallest_bitstrings": ["010001101000", "001100100010", "100000101001", "001100101000",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-3.110890127013184) q[0];
rz(1.9029253204861867) q[0];
rx(-0.26867952655149685) q[1];
rz(0.8417665446110831) q[1];
rx(2.0510367682738306) q[2];
rz(1.955572682224596) q[2];
rx(2.921280890939064) q[3];
rz(2.025452591676391) q[3];
rx(0.03390849757045124) q[4];
rz(1.5179... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZZZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIZIIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIIIZZIIZ",
"IIIIIIZIZIIZ",
"IIIIIIZZIIIZ",
"IIIIIIZZZIII",
"IIIIIIZZZIIZ",
"IIIIZIIIZIII",
"IIIZIIIIZIII",
"IIZIIIIIZ... | [
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,... | 0.982397 | [
3.1722951801664028,
0.33212899369129,
-0.2686795265514968,
-0.729029782183813,
2.0510367682738306,
0.38477635542969957,
2.921280890939064,
0.4546562648814948,
0.03390849757045123,
-0.05284710603833778,
-0.020333522141549626,
-0.024680036878463735,
0.16098021335982882,
-0.17881572502715487,... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 19 |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 187.81863522529602} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 155.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) q[2];... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"IZIIIIZI",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIZII",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
3.5,
17,
11,
12,
20,
12.5,
4,
17.5,
5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
a6e15f3d5d0d57da2b41d67529c98500 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target":... | {"states": [492, 511], "expectation_value": -13.281665015737357, "params": null, "bitstrings": ["000010011", "000000000"], "total_optimization_steps": 100, "probabilities": [0.08723981054349868, 0.31960717932666843], "optimization_time": 183.13394284248352} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + -3.0... | 5 | 9 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["000000000", "000000011"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.5869293518580443) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.3314258270673372) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.5555441508254739) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(0.11724520191233448) q[5];
... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IIZIIIZII",
"IIZIIIIIZ",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIZIIIZI",
"IIZIIIIZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZZIII",
"IIIZIZIII",
"IIZIIZIII",
"IIIIIZIZI",
"... | [
-3,
1,
-3.5,
0.5,
-3,
-3,
0.5,
-3,
-3,
1.5,
0.5,
1.5,
-3,
-3,
-3,
-2.5,
1,
-3.5,
1,
1,
-3,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
1
] | 0.54754 | [
0.5869293518580443,
0.3314258270673372,
0.5555441508254739,
0.11724520191233448,
0.3892923681803767,
0.671506780121363,
1.3255337221162977,
0.7170524369203495,
1.0239343834142822
] | {
"n_parameters": 9,
"n_qubits": 9,
"optimal_eigenvalue": -33,
"target_ratio": 0.97,
"target_value": -32.01
} | 236 |
b9ba40a0ecabccac0a8480a5edd4c036 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1700, 677], "expectation_value": -64.00967107867658, "params": [[[1.5677, 0.37160000000000004], [1.8068000000000002, 0.1491], [-0.0687, 0.0356], [1.5718, 1.5644], [1.5678, 1.5676], [1.5679, 1.5679], [-1.2645, 1.5677], [-1.5738, 1.5742], [1.5684, 1.5681], [1.5673000000000001, -0.5639000000000001], [1.5678, 1... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 15.5 * Z(1) + 2.0 * Z(0) + 3.5 * Z(2) + 15.5 * Z(3) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-116.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10101011010"], "largest_eigenvalue": 147.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(1.5925461522692512) q[0];
ry(1.6635787492271388) q[1];
ry(-1.5672472977214364) q[2];
ry(1.5521889501629949) q[3];
ry(1.569422022821618) q[4];
ry(1.5883120172150713) q[5];
ry(-1.5405609696795988) q[6];
ry(-1.5799127102755186) q[7];
ry(1.5874494325235264) q[8];
ry(1.7... | 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZZIII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"ZIIIIIZIIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
15.5,
2,
3.5,
15.5,
2,
5.5,
-1.5,
16,
-4.5,
1,
14.5
] | 0.974771 | [
1.5925461522692512,
1.6635787492271388,
-1.5672472977214364,
1.5521889501629949,
1.569422022821618,
1.5883120172150713,
-1.5405609696795988,
-1.5799127102755186,
1.5874494325235264,
1.73656396073097,
1.6090060330251372,
-1.5648557752125882,
-1.5545705548767665,
1.621269645037741,
1.56508... | {
"n_parameters": 19,
"n_qubits": 11,
"optimal_eigenvalue": -116.5,
"target_ratio": 0.97,
"target_value": -113.005
} | 121 |
834390fba4c480def6c6a26217d7a9af | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [35, 33], "expectation_value": -1.689097735633962, "params": [[-0.0626, -0.0538, -0.0454], [0.06910000000000001, 0.06810000000000001, 0.059500000000000004]], "bitstrings": ["1011100", "1011110"], "total_optimization_steps": 10, "probabilities": [0.01851140571332317, 0.019733436442538735], "optimization_time"... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(2.869273259256995) q[0];
ry(0.09542235691189135) q[0];
rz(-1.8369290239007654) q[0];
rz(-1.3551396718991269) q[1];
ry(2.50727987045565) q[1];
rz(1.7167877129662905) q[1];
rz(2.3001577391064183) q[2];
ry(0.08000879805697068) q[2];
rz(-0.6784659726885094) q[2];
rz(-1.9... | OPENQASM 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIIZIZI",
"IZIIIZI",
"ZIIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI"
] | [
-0.25,
-0.75,
-0.75,
-0.75,
-0.25,
2.25,
-0.25,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.75,
-0.5,
1.5,
1.5
] | 0.97592 | [
-0.005918934518704563,
0.49370722410123724,
-0.8849965050263602,
0.07845337494703145,
0.02616735845959705,
0.7776578446832089,
-0.05296051004187756,
0.6678277614367606,
0.20933129799598119,
0.8357708806427091,
-0.050070225743099474,
0.7236417753361262,
1.1561876310254893,
-0.03088305928298... | {
"n_parameters": 36,
"n_qubits": 7,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 4 |
421dc0e0e103964520cbb860ec0bda39 | 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": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [378, 218], "expectation_value": -19.089978673324556, "params": [[-0.035300000000000005, -0.0118], [0.0722, 0.058100000000000006]], "bitstrings": ["010000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006601941279440539, 0.008043495099013965], "optimization_time": 3.866760730743408} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.012388340079966701) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.012388340079966701) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.012388340079966701) q[2];
cx q[0], q[2];
rz(-0.6660843671540144) q[0];
rx(-0.08320873170170164) q[0];
h ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIZII",
"IZIIZIIII",
"IZZIIIIII",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
22.5,
2.5,
11,
9.5,
20.5,
14.5,
1,
14,
5
] | 0.970483 | [
0.012388340079966701,
1.4693534097425147,
-0.6660843671540132,
1.5899166718533837,
-0.9827053235728226,
2.2753017489986824,
1.3405976084313063,
0.09933892985721386,
0.4564329047357902,
0.241168567412698,
-0.08320873170170155,
0.011261907487312017,
-0.2729051234428472,
-0.9991115616669448,
... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -87,
"target_ratio": 0.97,
"target_value": -84.39
} | 80 |
598a895484db1dd124dda8633fc7a99c | 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": [121, 109], "expectation_value": -17.7581351492732, "params": [[0.0341, -0.006900000000000001, 0.015600000000000001], [-0.059800000000000006, -0.0315, -0.054400000000000004]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.010784408506641988, 0.011251050132239118]... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 127.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(0.029682493265214625) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.029682493265214625) q[1];
cx q[0], q[1];
rz(1.5705612127381334) q[0];
rx(1.5769581474958607) q[0];
cx q[2], q[1];
rz(0.029682493265214625) q[1];
cx q[2], q[1];
h q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IIIZZIII",
"IIZIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIZIIII",
"IIZIIIII",
"IIIIZIII",
"ZIIIIIII",
"IZIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
2,
10,
18,
18,
12.5,
4.5,
13,
-0.5
] | 0.927327 | [
0.029682493265214625,
1.5705612127381332,
-1.5703481182591699,
-1.5706046945448842,
-1.571207379658283,
-1.570506269198802,
1.5706316520383239,
1.5769581474958605
] | {
"n_parameters": 8,
"n_qubits": 8,
"optimal_eigenvalue": -61,
"target_ratio": 0.97,
"target_value": -59.17
} | 203 |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -10.75857077528043, "params": [[0.0247, 0.0262], [-0.04, -0.07060000000000001]], "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.012777947500937237, 0.013229141587446164], "optimization_time": 5.172792434692383} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.5872911573188792) q[0];
rz(-pi) q[0];
ry(-0.26726735204165186) q[1];
rz(-pi) q[1];
ry(-0.32025952141824876) q[2];
rz(-pi) q[2];
ry(-0.6224629696099127) q[3];
rz(-pi) q[3];
ry(-0.35181623562306424) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.7161138757931876) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
2.75,
3,
3,
2.75,
2.75,
3,
3,
3,
3,
-10.5,
-10.25,
-10.25,
-10,
-10,
-9.5,
-9.5
] | 0.970185 | [
5.251233437186073,
-0.2673912936828298,
-0.7760115953540541,
-0.3650841035981909,
-1.3429305731484023,
-1.4322277515863753,
-1.1664985071735865,
1.1175018014905993,
-0.9490504200451876,
-0.543154209519463,
0.8403138767734598,
-0.42645370075633826,
-0.3266029877858881,
0.24790096395313949,
... | {
"n_parameters": 47,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 1 |
24e9c86cfdb3e8240ca21f54feb2ae3f | 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": 11, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -13.605458692768806, "params": [[0.041600000000000005], [-0.08660000000000001]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004451031814659778, 0.005420687569821465], "optimization_time": 1.9914462566375732} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 164.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.1178989666848208) q[0];
rz(-1.3114878748394567) q[0];
rx(3.429660772059215) q[1];
rz(1.9519683519629236) q[1];
rx(3.2428870245089425) q[2];
rz(0.30989050063345075) q[2];
rx(0.07615240872314868) q[3];
rz(-1.4919322889468147) q[3];
rx(-0.2292526277419854) 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;
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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZIIIZ",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIZIIIIZI",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIZII",
"IZIIIZIII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
14.5,
12,
17,
17.5,
15,
2,
14.5,
2.5,
2
] | 0.981831 | [
0.1178989666848208,
-1.3114878748394567,
3.429660772059215,
1.9519683519629236,
3.2428870245089425,
0.30989050063345075,
0.07615240872314868,
-1.4919322889468147,
-0.2292526277419854,
0.323037351350365,
0.025479403557775504,
0.6535127034426061,
3.2061650365182963,
1.4357872245650392,
3.3... | {
"n_parameters": 18,
"n_qubits": 9,
"optimal_eigenvalue": -4.75,
"target_ratio": 0.97,
"target_value": -4.6075
} | 27 |
513c00093dea827c03c59c65710798db | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [102, 116], "expectation_value": -3.9998483083974135, "params": null, "bitstrings": ["0011001", "0001011"], "total_optimization_steps": 31, "probabilities": [1.6414279368067168e-05, 0.9998967143089581], "optimization_time": 26.02165675163269} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "1010001"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.37077761555759625) q[0];
cx q[3], q[0];
h q[4];
h q[5];
cx q[0], q[5];
rz(-0.37077761555759625) q[5];
cx q[0], q[5];
rz(0.03009543590334829) q[0];
rx(1.2688047511317464) q[0];
h q[6];
cx q[3], q[6];
rz(-0.370777615557... | 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[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", ... | [
"IIIZIIZ",
"IZIIIIZ",
"ZIIZIII",
"ZIIIIZI",
"IIIZZII",
"IZIIZII",
"ZIZIIII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-0.5,
-1,
0,
-0.5,
0
] | 0.7778 | [
-0.37077761555759625,
0.9066675348977866,
0.03009543590334805,
-0.8005422509188833,
1.2688047511317466,
-0.9186314981035741,
0.8070252633421148,
0.5332769516375501,
0.6583745163391305
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 229 |
a238ea382c7dc73ed8f6a6edbed535c4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -7.039169381784865, "params": [-0.0025, 0.22920000000000001, -0.0018000000000000002, 0.21810000000000002, 0.005, 0.30920000000000003, -0.0018000000000000002, 0.2975, 0.40230000000000005, -0.0031000000000000003, 0.4021, -0.0029000000000000002, 0.0082, 0.149, 0.0015, 0.1938, 0.00... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(10)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(8) @ Z(1)) + -0.25 * (Z... | 6 | 11 | 2 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["11010010110", "11011111111", "11010010111", "11000010110", "11011110110", "11011110111", "11011111110"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.029121938353625244) q[0];
rz(1.8249584730600734) q[0];
rx(-0.09640474654279875) q[1];
rz(1.7743608684193646) q[1];
rx(0.45819249327081935) q[2];
rz(1.6257453785452274) q[2];
rx(0.07527415840908407) q[3];
rz(1.5615067193470011) q[3];
rx(0.21183844744386748) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"ZIIIIIIIIIZ",
"ZIIIZIIIIII",
"IIIIIIIZIZI",
"ZIIIIIIZIII",
"IIIIIIZIIZI",
"IIIZIIIZIII",
"IIIZIIZIIII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIZIIIIIIZI",
"IIZIZIIIIII",
"IZIIZIIIIII",
"IZZIIIIIIII",
"IIIIIIIIZIZ",
"IIIIZIIIZII",
"ZIIIIIIIZ... | [
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-1,
-0.25,
-0.25,
-0.5,
-0.25,
1.5,
-0.25,
-0.25,
-0.5,
-1.25,
-0.25,
0.5,
0.75,
-0.5,
0.5,
0,
0.25,
-0.25,
-0.25,
0.5
] | 0.973851 | [
0.029121938353625244,
0.2541621462651768,
-0.09640474654279876,
0.20356454162446716,
0.45819249327081935,
0.054949051750331046,
0.07527415840908405,
-0.009289607447895198,
0.21183844744386748,
0.4012852061568687,
0.18004481960648405,
0.19590532013610717,
0.20057706929115643,
-0.21944827791... | {
"n_parameters": 134,
"n_qubits": 11,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 8 |
d1df537b8f7eacc6f0ca14b18760c116 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [510, 442], "expectation_value": -5.193128111353392, "params": [[-0.1505, -0.15180000000000002], [0.16620000000000001, 0.163]], "bitstrings": ["1000000001", "1001000101"], "total_optimization_steps": 20, "probabilities": [0.007032785678568464, 0.007032785678568465], "optimization_time": 6.536156892776489} | 1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z... | 1 | 10 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["1000000010", "1000000001", "1001000101", "1001000110"], "largest_eigenvalue": 28.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(-0.7937705898048096) q[0];
h q[1];
ry(0.6192559707330874) q[1];
h q[2];
ry(1.545665404851387) q[2];
h q[3];
ry(0.8722854136704878) q[3];
h q[4];
ry(1.545665404851387) q[4];
cx q[4], q[1];
ry(-0.6192559707330874) q[1];
cx q[4], q[1];
cx q[4], q[0];
ry(0.79377... | OPENQASM 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... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIZIIIZIII",
"IIIIIZIZII",
"IIIIIZIIZI",
"IIIIIZZIII",
"IIZIIZIIII",
"IIIIZIZIII",
"IIZIZIIIII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIZZIIIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIIIIZIZ",
"IIIIIIIIZZ",
"IIIIIZIIIZ",
"IZIIIIIZII",
"IZIIIIIIZI",
"IZIIIZIIII",
"IZIIIIIIIZ"... | [
1,
-1,
0.5,
0.5,
0.5,
-0.5,
0.5,
-0.5,
0.5,
0.5,
-0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
-0.5,
0.5,
2,
2,
1.5,
-1.5,
2.5,
1.5,
1.5,
0.5,
-1,
-1
] | 0.99397 | [
1.545665404851387,
1.7445708273409757,
1.5815739478927993,
1.2385119414661747,
-1.5875411796096193,
1.0341795361675983,
1.443948565645053,
-1.2687313125160538,
0.7910102675394354,
-0.49367531849502655,
0.5884490707767628,
-0.34137358121040356,
0.3593949234668095,
0.15884005412046098,
0.3... | {
"n_parameters": 38,
"n_qubits": 10,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 1 |
66f75df6a73731ca3dfcd77bd9b8f9a8 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [127, 111], "expectation_value": -6.016587044511369, "params": [[[0.0024000000000000002, 3.1619], [0.0021000000000000003, 0.0023], [-1.6054000000000002, 0.002], [0.0021000000000000003, 0.0021000000000000003], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.002], [0.0022, -0.0082]]], "bitstrings": [... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(2) | 15 | 7 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["0010000"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(1.5948060088334446) q[0];
rz(2.75476497416349) q[0];
rx(1.1536880317161984) q[1];
rz(-2.5506922440046464) q[1];
rx(-0.3980453346676857) q[2];
rz(2.6285697961866923) q[2];
rx(-2.1859488611686606) q[3];
rz(-3.0403900431441846) q[3];
rx(-1.6370190111416911) q[4];
rz(2.9... | 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[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x1) q[4];
ry(x1) q[5];
ry(x3) q[6];
cx q[6], ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIZIII",
"ZIIIIII",
"IZIIIII",
"IIIIZII"
] | [
-1,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.970969 | [
1.5948060088334446,
1.1839686473685938,
1.1536880317161984,
2.1616967363800432,
-0.39804533466768566,
1.0577734693917953,
-2.1859488611686606,
1.671998937240505,
-1.6370190111416911,
1.3936221263282822,
-0.3367839141949689,
0.20393829066176794,
-1.0278306138913633,
1.9705848592071784,
0.... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 212 |
8571677821520371940 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[6, 7], [0, 1, 4, 7], [8, 2, 3, 4], [0, 6], [8, 2, 3, 7], [1, 3, 4, 6], [1, 3, 7], [3, 4, 5], [8, 1, 6], [0, 2, 5, 7], [8, 1, 3, 0], [1, 2, 3], [0, 3, 4, 7], [2, 5, 6], [8, 5, 7]]} | {"states": [467, 475], "expectation_value": -2.2894977627127355, "params": [1.0047000000000001, 0.0009000000000000001, 1.0031, 0.0047, 1.0009000000000001, -0.0047, 0.994, 0.0029000000000000002, 0.9998, 0.0031000000000000003, 0.9995, 0.0082, 0.9966, -0.0016, 0.9945, 0.0016, 1.0011, 0.0019, 0.9903000000000001, 0.00450000... | 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.25 * (Z(8) @ Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.750000000000001, "smallest_bitstrings": ["000100100"], "largest_eigenvalue": 14.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.750364061416849) q[0];
rz(1.5546390487373154) q[0];
rx(1.692958787526179) q[1];
rz(1.6142602354611757) q[1];
rx(2.3235198365096177) q[2];
rz(1.6279098807248342) q[2];
rx(2.413483586233294) q[3];
rz(1.6284184980295127) q[3];
rx(1.923670416811399) q[4];
rz(1.55154463... | OPENQASM 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": []} | [
"IZZIIIIII",
"IZIIIIIIZ",
"IIZIIIIIZ",
"IZIIIIIZI",
"IIZIIIIZI",
"IIIIIIIZZ",
"IZIIZIIII",
"IIZIZIIII",
"IIIIZIIIZ",
"IIIIZIIZI",
"ZZIIIIIII",
"ZIZIIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIIZII",
"IIZIIIZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZIZII",
"ZIIIIIZII",
"... | [
0.5,
0.25,
0.5,
0.25,
0.25,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.08333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0.1666666... | 0.97056 | [
1.750364061416849,
-0.016157278057581007,
1.692958787526179,
0.0434639086662798,
2.3235198365096177,
0.05711355392993752,
2.413483586233294,
0.057622171234616666,
1.923670416811399,
-0.01925168970938932,
2.3290839244996677,
0.07291094991180089,
1.0873578925781666,
0.032614608046778806,
1... | {
"n_parameters": 44,
"n_qubits": 9,
"optimal_eigenvalue": -3.833333333333334,
"target_ratio": 0.97,
"target_value": -3.7183333333333337
} | 196 |
fd959b015d7c5b50b2cd05831ed95a60 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 44], "expectation_value": -0.1559025154387573, "params": [[-0.0339, 0.0275, 0.066], [0.0558, 0.0119, -0.0375]], "bitstrings": ["001101", "010011"], "total_optimization_steps": 10, "probabilities": [0.017247179417460297, 0.017512012910881832], "optimization_time": 4.944455862045288} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.2814273479283241) q[0];
cx q[5], q[0];
rz(0.988627421386453) q[0];
rx(-1.6100914394477277) q[0];
cx q[5], q[1];
rz(-0.2814273479283241) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0.2814273479283241) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"ZIIIZI",
"ZIIZII",
"IIIZZI",
"ZIZIII",
"IIZIZI",
"IZIZII",
"IZZIII",
"ZIIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
0,
-1,
-1,
-1,
-0.5
] | 0.793132 | [
-0.2814273479283241,
-2.083999084261337,
0.9886274213864532,
-0.2943566891904666,
-0.17545221926890683,
-1.6100914394477277,
0.44025124807503524,
1.5189639182857877,
-0.6158615151039641,
-0.2722032415841509,
-0.7056736669533165
] | {
"n_parameters": 11,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 249 |
-2732923853862995745 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 1, 2], [2, 4], [0, 1, 4]]} | {"states": [25, 28], "expectation_value": -1.3050358028252775, "params": null, "bitstrings": ["00110", "00011"], "total_optimization_steps": 24, "probabilities": [0.07522145664337178, 0.8225342738481733], "optimization_time": 17.060053825378418} | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.33333333333333326 * Z(0) + 0.3333333333333333 * Z(1) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["10001", "01011", "00011"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(1.417263065330173) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.5718392561526827) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.011320095952477946) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(0.011320095952477946) q[2];
cx q[1], q[2];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... | [
"IZIIZ",
"IIIZZ",
"IIZIZ",
"IIZZI",
"ZIIIZ",
"ZIIZI",
"ZIZII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII",
"ZIIII"
] | [
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0,
0.33333333333333326,
0.3333333333333333,
0.16666666666666663,
0.16666666666666663
] | 0.862562 | [
1.417263065330173,
0.5718392561526827,
0.011320095952477946,
-0.4721192192016394,
-0.8370425787636974
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -1.3333333333333335,
"target_ratio": 0.97,
"target_value": -1.2933333333333334
} | 136 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 90], "expectation_value": -1.7078306821951004, "params": null, "bitstrings": ["0101001", "0100101"], "total_optimization_steps": 54, "probabilities": [0.1005365462435313, 0.7008987205575532], "optimization_time": 66.78845596313477} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | 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];\ncry(-1.3016) q[5], 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... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
c451d9585216e3f1c5bc89acfa5b77d8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [325, 327], "expectation_value": -62.93741987431329, "params": [[[1.5164, -0.0021000000000000003], [0.49510000000000004, 0.0018000000000000002], [0.4323, -0.0014], [-0.3936, 1.4057000000000002], [0.0038, 0.43420000000000003], [0.0028, 0.4999], [-0.0009000000000000001, 1.5714000000000001], [0.8228000000000001... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 9.0 * Z(0) + 5.0 * Z(1) + 2.5 * Z(3) + 13.0 * Z(2) + -5.5 * Z(4) + 4.0 * Z(5) + 7.0 * Z(6) + 7.0 * Z(7) + 9.0 * Z(8) | 15 | 9 | 2 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["010111000"], "largest_eigenvalue": 109.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.0786364078723707) q[0];
ry(0.297096745685546) q[1];
ry(0.6293510276208054) q[2];
ry(0.018589178197565743) q[3];
ry(0.3765824953094186) q[4];
ry(0.29218552655486985) q[5];
ry(0.04116465117864082) q[6];
ry(0.17790892617792425) q[7];
ry(0.6657017174768285) q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIZIIIZII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"ZIIIIIIII"
] | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
9,
5,
2.5,
13,
-5.5,
4,
7,
7,
9
] | 0.974332 | [
0.0786364078723707,
0.297096745685546,
0.6293510276208054,
0.018589178197565743,
0.3765824953094186,
0.29218552655486985,
0.04116465117864082,
0.17790892617792425,
0.6657017174768285,
0.11970356944447005,
0.05847675704917792,
0.012115499154957722,
0.07779464627960145,
0.09576757820059022,
... | {
"n_parameters": 72,
"n_qubits": 9,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 62 |
31633d4810748a20f84bd55ea330508c | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"sour... | {"states": [252, 255], "expectation_value": -14.046317938523355, "params": null, "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 100, "probabilities": [0.12514584125950057, 0.5130468516309931], "optimization_time": 212.6314458847046} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000000", "00000011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.017921973451409008) q[1];
h q[2];
h q[3];
ry(0.017921973451409008) q[3];
cx q[2], q[3];
ry(-0.017921973451409008) q[3];
cx q[2], q[3];
ry(0.067149863345596) q[3];
ry(1.5553243613399212) q[2];
h q[4];
ry(0.017921973451409008) q[4];
cx q[2], q[4];
ry(... | null | {"node": 6} | {"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(1.5708) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IIIZIIIZ",
"IIIZZIII",
"IIZZIIII",
"IIIZIZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IZIIIII... | [
-2,
-2,
-2.5,
0.5,
-3,
1,
0.5,
1,
-3,
-2.5,
0.5,
0.5,
-2,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.97116 | [
0.035843946902818016,
1.5553243613399212,
1.6176360647664003,
0.134299726691192,
0.37454330757621457,
1.113256346889515,
-0.030863662157328033,
0.22706330550934212,
-0.07506070558133716,
-0.2887889202918753,
0.8863026176038993,
-0.12055236724641485,
0.01601743558073871,
0.6120355592869146,... | {
"n_parameters": 58,
"n_qubits": 8,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 124 |
f185945566c2c3ca031391a04e449c23 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 4, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 7}, {"capacity": 4, "source": 1, "target": 9}, {"capac... | {"states": [512, 511], "expectation_value": -0.8227257626622559, "params": [[-0.063], [0.06280000000000001]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0015230270727606058, 0.0015610753649031896], "optimization_time": 3.16426682472229} | -1.0 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(2)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(4) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 17.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.07518857784251523) q[0];
ry(-0.13869200212896973) q[1];
ry(-0.10001286039027482) q[2];
ry(-0.02242735658338768) q[3];
ry(-0.02242735658338768) q[4];
ry(0.008686427390957936) q[5];
ry(-0.18197491646893446) q[6];
ry(-0.08579596449094426) q[7];
ry(-1.686618919291783... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIZZIIIIII",
"IIZIIIIIZI",
"ZIIIIIIIIZ",
"ZIIIIIIIZI",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZZIIIIIIII",
"IZIIIIIZII",
"IIZIIIZIII",
"ZIIIIIZIII",
"IZIIIZIIII",
"IIIIIZZIII",
"IIIZZIIIII",
"IIIIZIIIZI",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIIZIZIII"... | [
-1,
-0.75,
-0.5,
-2,
1.25,
-1,
-1.25,
-0.75,
-1.25,
-1,
-0.25,
-1,
-0.5,
-1,
-1.5,
-0.5,
-0.75,
-1.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.25,
-1.25,
0,
-0.5,
2.75,
0,
-0.75
] | 0.970839 | [
-0.07518857784251523,
-0.13869200212896973,
-0.10001286039027482,
-0.02242735658338768,
0.008686427390957936,
-0.18197491646893446,
-0.08579596449094426,
-1.686618919291783,
0.22160935231836637,
-0.10773700841013065,
0.040320572389887344,
0.02522293486452439,
-0.012615186482748989,
-0.0045... | {
"n_parameters": 51,
"n_qubits": 10,
"optimal_eigenvalue": -17.25,
"target_ratio": 0.97,
"target_value": -16.732499999999998
} | 70 |
d0bfe0d447f987bab26261caea144ffd | 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": [325, 357], "expectation_value": -100.48437234892405, "params": [[-0.008, -0.0008, 0.651, -0.0198, 0.5978, 0.5562, 0.0105, -0.0497, 0.6332, 0.030000000000000002, 0.6398], [-0.0076, 0.0162, 0.642, 0.0337, 0.2521, 0.23700000000000002, 0.0038, -0.046200000000000005, 0.638, -0.0128, 0.6354000000000001], [0.0097,... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(0) @ Z(5)) + 8.0 * (Z(3) @ Z(5)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(1)) + 0.5 * Z(1) + 16.0 * Z(2) + 14.0 * Z(5) + -5.0 * Z(0) + 3.0 * Z(3) + 22.0 * Z(... | 10 | 11 | 4 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.0, "smallest_bitstrings": ["11010011010"], "largest_eigenvalue": 144.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.012324186974385528) q[0];
ry(-0.09821600057068584) q[1];
ry(0.7087566442040936) q[2];
ry(0.026703597590039204) q[3];
ry(0.7228211977205649) q[4];
ry(0.7651714970412187) q[5];
ry(-0.09170040006432176) q[6];
ry(-0.13434098166864045) q[7];
ry(0.7346453541000161) 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]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZI",
"IIIIIZIIIIZ",
"IIIIIZIZIII",
"IIIIIIZIZII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIZIIIIZII",
"IIIZIIZIIII",
"IIZIZIIIIII",
"IZZIIIIIIII",
"ZIIIIIIIIZI",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIZIIIII",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
0.5,
16,
14,
-5,
3,
22,
3,
9,
-6,
-4,
1.5
] | 0.976067 | [
-0.012324186974385528,
-0.09821600057068584,
0.7087566442040936,
0.026703597590039204,
0.7228211977205649,
0.7651714970412187,
-0.09170040006432176,
-0.13434098166864045,
0.7346453541000161,
0.01658454644168659,
0.7744943847223926,
-0.1502857274117673,
0.0013063874008741733,
0.623449300334... | {
"n_parameters": 55,
"n_qubits": 11,
"optimal_eigenvalue": -127,
"target_ratio": 0.97,
"target_value": -123.19
} | 15 |
58fa04385078dcdc0b5f9361c481400a | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [24, 5], "expectation_value": -1.0129926004962266, "params": [[-0.0379, -0.057, -0.0538, -0.0809], [0.0206, 0.057600000000000005, 0.0596, 0.0714]], "bitstrings": ["00111", "11010"], "total_optimization_steps": 10, "probabilities": [0.05470820547832927, 0.054708205478329316], "optimization_time": 5.9750866889... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 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)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.47101618974758475) q[0];
rz(-0.16827364835461855) q[0];
rx(0.48551343822356186) q[1];
rz(0.17804732572877252) q[1];
rx(0.32539434813691376) q[2];
rz(0.5457656730524693) q[2];
rx(-0.21683998807139754) q[3];
rz(0.30031640895019224) q[3];
rx(1.2220557292476708) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIIZ",
"ZIIIZ",
"ZZIII",
"IIZZI",
"IZIZI",
"ZIIZI",
"IIZII",
"IIIIZ",
"IZIII",
"ZIIII",
"IIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-1.5,
-1,
-1
] | 0.971822 | [
0.4710161897475848,
-0.09099105680982872,
0.48551343822356186,
0.17804732572877252,
0.32539434813691376,
0.5457656730524693,
-0.21683998807139754,
0.30031640895019224,
1.2220557292476708,
0.00816620436411572,
0.6463337616946943,
0.03026562494828463,
0.5393888844458095,
-0.2593316846640103,... | {
"n_parameters": 71,
"n_qubits": 8,
"optimal_eigenvalue": -2.125,
"target_ratio": 0.97,
"target_value": -2.06125
} | 45 |
255f1dd604659bd35e94474fe8f5241d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [7, 47], "expectation_value": -8.303319260336295, "params": null, "bitstrings": ["1111000", "1010000"], "total_optimization_steps": 61, "probabilities": [0.11121072416847702, 0.7103220940384556], "optimization_time": 70.97644233703613} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.37039925737107354) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.47479670208545194) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.002453439771768364) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.002453439771768364) q[4];
c... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIZIIZI",
"IIZIIIZ",
"IIIZIZI",
"IIIZZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII",
"IIIZIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.75,
-0.25,
-1,
-1,
-0.25,
-0.75,
-0.5,
-0.5,
-0.5,
-1,
-0.25,
2.25,
-1,
-0.75,
-0.25,
-0.25,
-1.75,
1,
-0.75,
1.5,
0.5
] | 0.901268 | [
-0.37039925737107354,
-0.47479670208545194,
0.002453439771768364,
0.007173938359176996,
0.28639303714208847,
-0.6771793472255276,
-0.758238898919597,
0.5277113036131329,
0.6196216232026848,
-1.587300313731966,
-0.5518085417301448,
-0.6707094486127311,
-0.0018169790026760502,
-0.12952360862... | {
"n_parameters": 20,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
71484c647e22c5f994bcf8c31a14b220 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [16295, 15271], "expectation_value": -2.4194261202502143, "params": [[[2.4909000000000003, 0.008400000000000001], [2.4908, 0.0095], [2.495, 0.0016], [1.5129000000000001, 0.0015], [2.4977, 0.0036000000000000003], [2.5107, 0.0037], [2.5025, 0.0006000000000000001], [0.6667000000000001, 0.008400000000000001], [2... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 14 | 1 | {"smallest_eigenvalues": [-4.7500000000000036, -4.7500000000000036], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.750000000000002, "smallest_bitstrings": ["01000100010010", "00010001011000"], "largest_eigenvalue": 7.249999999999982} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.011283481139266137) q[0];
rz(1.8826267914490584) q[0];
rx(0.9513217446928515) q[1];
rz(1.4370927009485) q[1];
rx(0.7035759414347609) q[2];
rz(1.5215893449459994) q[2];
rx(1.5200643557677227) q[3];
rz(1.5679738609995582) q[3];
rx(-0.1777930261984752) q[4];
rz(1.1761... | OPENQASM 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": []} | [
"IIIIIIIIIIIIZZ",
"IIIIIIIIIIIZIZ",
"IIIIIIIIIIZIIZ",
"IIIIIIIIIZIIIZ",
"IIIIIIIIIIIZZI",
"IIIIIIIIIIZIZI",
"IIIIIIIIIZIIZI",
"IIIIIIIIIIZZII",
"IIIIIIIIIZIZII",
"IIIIIIIIIZZIII",
"IIIIIIIIIIIZZZ",
"IIIIIIIIIIZIZZ",
"IIIIIIIIIZIIZZ",
"IIIIIIIIIIZZIZ",
"IIIIIIIIIZIZIZ",
"IIIIIIIIIZZIIZ"... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25... | 0.970263 | [
0.011283481139266138,
0.31183046465416187,
0.9513217446928515,
-0.13370362584639667,
0.703575941434761,
-0.0492069818488966,
1.520064355767723,
-0.0028224657953385135,
-0.17779302619847517,
-0.3946141137452574,
0.22472478750677127,
0.35807542301392026,
0.4128986976303328,
0.206642289052353... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 12 |
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