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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ea5d9a2a2420ebaf402c904a653bde8c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [480, 503], "expectation_value": -1.3433424268889542, "params": [[0.07640000000000001], [-0.08360000000000001]], "bitstrings": ["000011111", "000001000"], "total_optimization_steps": 10, "probabilities": [0.003244781675017679, 0.00343744738549648], "optimization_time": 1.721998691558838} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2)... | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["000001000"], "largest_eigenvalue": 17.0} | 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(-0.7861009128917402) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.7861009128917402) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.15003974462348674) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(-0.7861009128917402) q[2];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1... | {"node": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIZIZIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"IIZZIIIII",
"IZIIZIIII",
"ZZIIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIZIIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIIZIIIII",
"IZIIIIIII"
] | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-2,
0.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
1,
0.5,
-1,
0.5
] | 0.58553 | [
-0.7861009128917402,
-0.15003974462348674,
-1.0868718559045,
-0.42045069458125195,
-1.629499143948964,
-0.952913367726926
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 178 |
20b257e7ab3ea05503daa46ec3868b05 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [53, 52], "expectation_value": -3.3860490067866933, "params": [0.6087, -0.0018000000000000002, 0.6004, 0.0018000000000000002, 0.014400000000000001, 0.2185, 0.6099, 0.001, 0.15860000000000002, -0.0239, 0.48700000000000004, 0.044500000000000005, 0.6085, -0.0028, 0.6048, -0.0044, 0.029300000000000003, 0.056, 0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -1.0 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 4 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["001011", "011010"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.5548614983032758) q[0];
h q[1];
ry(-0.4336582153180486) q[1];
h q[2];
ry(-1.5596846869202525) q[2];
h q[3];
ry(1.5548614983032758) q[3];
ry(-0.026435782347820826) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[1];
ry(0.4336582153180486) q[1];
cx q[5], q[1];
ry(-0.7... | 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": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIIIZI",
"IIZZII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-1,
0
] | 0.998061 | [
-1.5596846869202525,
-1.4823995321635313,
1.5548614983032758,
-0.8673164306360972,
0.7054725837623831,
-0.4872816670639519,
0.6442048738368666,
-0.5016801554814053,
0.16957923580848894,
-0.12340870985442795,
0.17931583905653592,
-0.021905959185723592,
-0.12392202456708895,
0.03449940289991... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [62, 11], "expectation_value": -1.8691085094625683, "params": [[-0.2852], [0.27990000000000004]], "bitstrings": ["000001", "110100"], "total_optimization_steps": 30, "probabilities": [0.050192574751093955, 0.05856043812704333], "optimization_time": 2.8924684524536133} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.001959798150095337) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(0.001959798150095337) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3815866551963541) q[2];
cx q[1], q[2];
rz(0.3815866551963541) q[3];
cx q[0], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
c... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"IIZZII",
"ZIIIIZ",
"ZIIZII",
"IZIIZI",
"IZZIII",
"IZIZII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
-0.5,
-0.5,
-0.25,
-0.25,
-0.5,
1,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.75,
0.25,
0.75
] | 0.685194 | [
0.001959798150095337,
0.3815866551963541,
-0.02024676984199178,
1.5645802848410972,
-1.559643606159173,
-1.5674598134785187,
1.542213756241811
] | {
"n_parameters": 7,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 175 |
23b9bdf3a0cf36b2670f2324e5b7a3b3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5},... | {"states": [0, 511], "expectation_value": -12.884437139924021, "params": [-0.0461, 0.5593, 0.013900000000000001, 1.01, 0.012100000000000001, 0.9228000000000001, -0.0108, 0.9860000000000001, 0.5529000000000001, 0.2311, -0.0253, 0.0368, 0.5519000000000001, 0.25930000000000003, 0.0752, 0.0251, 0.6529, 0.3709, 0.1468, 0.81... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7)... | 6 | 11 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.1378604361436234) q[0];
rz(2.371216038226251) q[0];
rx(-0.6675826519795717) q[1];
rz(-2.989684856271685) q[1];
rx(1.5201918806054182) q[2];
rz(1.3417265571219277) q[2];
rx(0.6619251621547098) q[3];
rz(2.375082397068926) q[3];
rx(0.4820762427365239) q[4];
rz(1.847... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIZIZIIII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IIZZIIIIIII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIZII",
"IIIIIIIZZII",
"ZIIIIIIZIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIZIIIIIII",
"IZIIIIIIIII",
"IIIIIIIIZ... | [
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
-1.5,
-1,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.923562 | [
-0.1378604361436234,
0.8004197114313544,
-0.6675826519795717,
1.7227041241130048,
1.5201918806054187,
-0.22906976967296877,
0.6619251621547098,
0.8042860702740292,
0.48207624273652394,
0.2764907248322506,
-0.5675744854935185,
0.15632389579373596,
-0.25797449405976725,
0.7488575827733567,
... | {
"n_parameters": 213,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 500 |
c0f858c9bf8a5ca6f1ec5eb7b79e6f0c | 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": 1, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target"... | {"states": [0, 1023], "expectation_value": -6.364481897439839, "params": [[[-0.0032, 0.8378], [-0.0022, -0.0011], [-0.0017000000000000001, -0.0032], [-0.003, -0.0031000000000000003], [0.0023, -0.0024000000000000002], [-0.0027, -0.0024000000000000002], [-0.0025, -0.0027], [0.0022, -0.0024000000000000002], [-0.0024000000... | 0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(9) @ Z(6)) + -0.25 * (Z(9) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000000", "10000000100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.04767454718384913) q[0];
ry(-0.005583630039901082) q[1];
ry(-0.19968932102712803) q[2];
ry(0.1667470360502149) q[3];
ry(-0.008288979256233925) q[4];
ry(0.003973817756053849) q[5];
ry(0.07299461713965097) q[6];
ry(0.005034993099571117) q[7];
ry(0.006125282041523527... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZIZ",
"IIIIZIIIIZI",
"IIIIIIZIIZI",
"IIIIIIZZIII",
"IIIZIIIIIZI",
"IIIZIIZIIII",
"IIZIIIZIIII",
"ZIIIIIZIIII",
"ZIIZIIIIIII",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIIIIZZIIII",
"IZIIZIIIIII",
"IZIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIIIIIZ",
"IIIIZIIIIII",
"IIIIIIIIIZI",
"IIIIIIZII... | [
0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.75,
-0.25,
0,
-0.25,
0.25,
-0.75,
0.25,
0.25,
0.25,
-0.25,
-0.5,
0.25,
0.5
] | 0.973782 | [
0.04767454718384913,
-0.005583630039901082,
-0.19968932102712803,
0.1667470360502149,
-0.008288979256233925,
0.003973817756053849,
0.07299461713965097,
0.005034993099571117,
0.006125282041523527,
-0.021130769025702892,
2.831738541557356,
0.7376241034465203,
0.010646014857902262,
0.00935840... | {
"n_parameters": 29,
"n_qubits": 11,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 62 |
2e6ea11e2a4f0b1c9b569231867d91ab | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [156, 412], "expectation_value": -1.532299844453283, "params": [0.19, 0.012700000000000001, 0.19310000000000002, 0.0094, 0.1961, -0.0004, 0.20520000000000002, -0.0004, 0.1905, -0.0514, 0.17600000000000002, -0.051300000000000005, 0.1792, 0.0424, 0.168, 0.0451, 0.19260000000000002, -0.0181, 0.1877, -0.0171, 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)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 6 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.375, "smallest_bitstrings": ["001001101", "011100001", "100001011", "101010001", "001100101", "100010011", "001010101", "001110001", "010100... | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.38962684685429555) q[0];
rz(1.879268088331699) q[0];
rx(0.06838683446041065) q[1];
rz(1.1876047389723228) q[1];
rx(-0.09351746147219979) q[2];
rz(1.5623416949371212) q[2];
rx(-0.1139784767351197) q[3];
rz(1.3299050299033546) q[3];
rx(0.23761046912690656) q[4];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIIZZZIII",
"IIIIIZIIZ",
"IIZIIIIIZ",
"IIZIIZIII",
"IIZIIZIIZ",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIIZI",
"IZIIZIIZI",
"IZZIIIIZI",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0,
0.125,
-0.25,
0,
0.125,
-0.25,
0.125,
-0.125,
-1
] | 0.970427 | [
0.3896268468542955,
0.3084717615368029,
0.06838683446041065,
-0.3831915878225738,
-0.0935174614721998,
-0.00845463185777533,
-0.1139784767351197,
-0.24089129689154237,
0.2376104691269066,
0.1457510130319123,
0.5153135079350096,
-0.6342581115198167,
0.23184671834073584,
0.13841169131561415,... | {
"n_parameters": 164,
"n_qubits": 9,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 258 |
159564a9a71f2785631eb8436cb826ea | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 8}, {"source": 7, "target":... | {"states": [207, 255], "expectation_value": -8.50011496686263, "params": null, "bitstrings": ["100110000", "100000000"], "total_optimization_steps": 92, "probabilities": [0.14729976829782762, 0.44089999948907416], "optimization_time": 117.34626245498657} | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + -0.5 * Z(0) | 5 | 9 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.7511005271593161) q[0];
rz(-pi) q[0];
h q[1];
ry(1.2581153791650719) q[1];
h q[2];
cx q[2], q[1];
ry(-1.2581153791650719) q[1];
cx q[2], q[1];
ry(1.3726640215676347) q[2];
cx q[1], q[2];
ry(-1.3726640215676347) q[2];
cx q[1], q[2];
h q[3];
h q[4];
ry(1.25811537916... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5706) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIZZI",
"IIIIZZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1,
-1,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971427 | [
0.0013109546608495966,
1.7774153945603093,
1.679929475921589,
-0.2539518645087978,
0.1890537256643278,
2.5162307583301438,
2.7453280431352693,
-0.27535298037782635,
-0.7253695184608755,
0.9633120713442913,
-0.27781867740320454,
0.3393178145877155,
0.4036598516411737,
0.6446749154611696,
... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -10.5,
"target_ratio": 0.97,
"target_value": -10.185
} | 88 |
13e277d5bba2e0a51781e013b0aaec0d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 254], "expectation_value": -17.006300532699544, "params": [[[0.0028, 3.1620000000000004], [0.0022, 0.0027], [0.0022, 0.0022], [0.0023, -0.007500000000000001], [0.002, 0.0022], [0.0021000000000000003, 0.002], [-1.5854000000000001, 0.0025], [0.0027, 0.0022]]], "bitstrings": ["00000000", "00000001"], "tot... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(7) | 15 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000001"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(-0.04848018767550534) q[0];
ry(0.038162308020827776) q[1];
ry(0.038162308020827776) q[2];
ry(0.014685493463854504) q[3];
ry(-0.021878753336167407) q[4];
ry(-0.0776482663037506) q[5];
ry(-1.5911698483794967) q[6];
ry(0.004050798357405627) q[7];
cx q[7], q[0];
cx q[6],... | 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;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2];
ry(x2) q[3];
ry(x3) q... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIZIIII",
"IZIIZIII",
"IZZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-2,
-2,
-2,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.97002 | [
-0.04848018767550534,
0.038162308020827776,
0.014685493463854504,
-0.021878753336167407,
-0.0776482663037506,
-1.5911698483794967,
0.004050798357405627,
3.1378342450416943,
0.052846810971086774,
-0.03757032562228365
] | {
"n_parameters": 10,
"n_qubits": 8,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 2 |
295827ef8e8bc1a59c2d5aefad74f913 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capac... | {"states": [0, 1], "expectation_value": -20.866470529563852, "params": [-0.0033, -0.2487, -0.0041, -0.2497, -0.0005, -0.2964, 0.0048000000000000004, -0.2549, 0.0029000000000000002, -0.2489, 0.0018000000000000002, -0.2816, 0.0026000000000000003, -0.2964, 0.0023, -0.3054, 0.0021000000000000003, -0.2872, 0.0015, -0.278400... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(2)) + -1.0 * (Z(8) @ Z(5)) + -1.25 * (Z(3)... | 5 | 10 | 2 | {"smallest_eigenvalues": [-23.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["1111111110"], "largest_eigenvalue": 23.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.1074975055836625) q[0];
rz(-0.24134500490391808) q[0];
rx(-0.002474991455973498) q[1];
rz(-0.4571906006718045) q[1];
rx(-0.05136879397144355) q[2];
rz(-0.34768852534032035) q[2];
rx(0.008294293644839822) q[3];
rz(-0.29806888598817416) q[3];
rx(-0.1030104342503928... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIIIZI",
"IIIZIIIZII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIZIIIII",
"IIIIIIZIZI",
"IIIIIZZIII",
"IIIZIIZIII",
"IIZIIIIIZI",
"IIZIIIIZII",
"IIZIZIIIII",
"IIZIIIZIII"... | [
-1.25,
-1.25,
-1,
-1.25,
-0.5,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.5,
-0.75,
-1,
-1.25,
-1.25,
-2.25,
-0.75,
-0.25,
-2.5,
-1,
2.5,
-1,
-4.5,
-0.25,
1.25,
-0.25,
1.75,
1,
-1.25,
0.25,
0.5,
1.5
] | 0.970536 | [
-0.10749750558366251,
-0.2797319149155471,
-0.002474991455973498,
-0.366143977228745,
-0.05136879397144355,
-0.3562482834096087,
0.008294293644839822,
-0.10301043425039287,
-0.2281232092623946,
0.12962781785921831,
-0.18351060837852673,
0.1311796410319733,
-0.1056752922990083,
0.0574159178... | {
"n_parameters": 92,
"n_qubits": 10,
"optimal_eigenvalue": -23.75,
"target_ratio": 0.97,
"target_value": -23.037499999999998
} | 3 |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [0, 1], "expectation_value": -14.45004442172554, "params": [0.005200000000000001, 0.2994, 0.0044, 0.44620000000000004, 0.0057, -0.3462, 0.0048000000000000004, -0.4429, 0.0035, 0.4554, 0.0023, 0.3548, 0.6013000000000001, 0.0013000000000000002, -0.0002, 0.3899, -0.0007, 0.3678, 0.002, 0.39080000000000004, -0.0... | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 3 | 7 | 3 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.006377179496119643) q[0];
rz(-0.061727897011168764) q[0];
rx(0.07989972346595989) q[1];
rz(0.6688407505745477) q[1];
rx(-0.16796998349578554) q[2];
rz(-0.07201860300141405) q[2];
rx(-0.1915935582937144) q[3];
rz(-0.5729443126343039) q[3];
rx(-0.007459390818392585)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIZIZ",
"IIIZZII",
"IIIZIIZ",
"IIZIZII",
"IIZIIIZ",
"IIZZIII",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IZZIIII",
"IIIIZZI",
"IIIZIZI",
"IIZIIZI",
"ZIIIZII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIIZI",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.75,
-1,
-1.25,
-1.75,
-0.5,
-0.5,
-1.75,
-1.25,
-1.75,
-0.5,
-0.25,
2.5,
-0.75,
1.25,
-0.25,
-0.75,
-0.75,
-0.5,
-0.5,
1.5
] | 0.974333 | [
-0.006377179496119642,
0.1957621554646426,
0.07989972346595989,
0.4359881860868983,
-0.1679699834957855,
-0.38497263604562815,
-0.19159355829371438,
-0.39383051225245713,
-0.007459390818392586,
0.49935880698787366,
0.050047209993752936,
0.22941381389651128,
0.9696121434380058,
0.0608901470... | {
"n_parameters": 55,
"n_qubits": 7,
"optimal_eigenvalue": -16.75,
"target_ratio": 0.97,
"target_value": -16.2475
} | 5 |
e5f1b2072e17443ca07f12c7243b7504 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "... | {"states": [0, 4095], "expectation_value": -26.087329360190058, "params": [[[0.0022, 1.6001], [0.0016, 0.0022], [0.002, 0.0018000000000000002], [0.0032, 0.0022], [-0.0016, -0.0027], [0.0016, 0.0018000000000000002], [0.0023, 0.0019], [0.0022, 0.002], [0.0023, 0.0023], [0.0026000000000000003, 0.0018000000000000002], [-0.... | -2.0 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(2)) + -3.0 * (Z(7) @ Z(11)) + -3.5 * (Z(6) @ Z(11)) + 1.5 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(11)) + -... | 15 | 12 | 1 | {"smallest_eigenvalues": [-29.0, -29.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -28.0, "smallest_bitstrings": ["000000000000", "000000111111"], "largest_eigenvalue": 39.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.07997670102370671) q[0];
ry(-0.2983266687059641) q[1];
ry(-0.06951300687506946) q[2];
ry(-0.19988712832122438) q[3];
ry(-0.011562589086444336) q[4];
ry(-0.2983266687059641) q[5];
ry(0.008756894941965632) q[6];
ry(-0.07997670102370671) q[7];
ry(0.00875689494196563... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZIIZ",
"IIIIIIIZZIII",
"IIIIIIIZIIIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIIIIIZIZIII",
"IIIIIIZIIIZI",
"IIIIIIZIIZII",
"ZIIIZIIIIIII",
"ZIIIIZIIIIII",
"IIIIZZIIIIII",
"ZIIZIIIIIIII",
"IIIZZIIIIIII",
"IIIZIZIIIIII",
"ZIZIIIIIIIII",
"IIZIZIIII... | [
-2,
0.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
0.5,
-2,
-3,
-3.5,
1.5,
-2.5,
-3,
-3,
1,
-3,
-3,
1,
0.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
1,
1.5,
1,
0.5
] | 0.973725 | [
-0.07997670102370671,
-0.2983266687059641,
-0.06951300687506946,
-0.19988712832122438,
-0.011562589086444336,
0.008756894941965632,
-0.09003064509021919,
0.12164443535851421,
-0.05637356601328347,
2.8442404106131542,
0.05083802225432704,
0.06070690197243094,
0.18750908921952616,
0.07551837... | {
"n_parameters": 14,
"n_qubits": 12,
"optimal_eigenvalue": -29,
"target_ratio": 0.97,
"target_value": -28.13
} | 15 |
8975768050514028393 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5, 6], [1, 6], [0, 2, 3, 4], [1, 2, 3], [2, 3, 4, 6], [0, 1, 5]]} | {"states": [54, 46], "expectation_value": -0.036828011423832394, "params": [[0.064], [-0.061200000000000004]], "bitstrings": ["1001001", "1010001"], "total_optimization_steps": 10, "probabilities": [0.008160819010414221, 0.008202629622925148], "optimization_time": 0.8828830718994141} | 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["1010001"], "largest_eigenvalue": 5.500000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[3];
rz(0.15553924607500502) q[3];
cx q[5], q[3];
h q[6];
cx q[5], q[6];
rz(0.15553924607500502) q[6];
cx q[5], q[6];
cx q[3], q[6];
cx q[5], q[1];
rz(0.15553924607500502) q[1];
cx q[5], q[1];
cx q[5], q[0];
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[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[5], q[3];
rz(x0) q[... | null | {"circuits": [], "gradients": []} | [
"IZIZIII",
"ZZIIIII",
"ZIIZIII",
"IZIIIZI",
"IIIZIZI",
"ZIIIIZI",
"IZIIIIZ",
"IIIZIIZ",
"IIIIIZZ",
"IIIZZII",
"ZIIIZII",
"IIIIZZI",
"IIIIZIZ",
"IIZZIII",
"ZIZIIII",
"IIZIIIZ",
"IIZIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.25,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.3333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.0... | 0.624431 | [
0.15553924607500502,
-0.13545984636499556,
1.4024341961546323,
0.08609085155580157,
-0.07302794587399883,
1.5569389831523244,
0.6098818145687853,
1.5413806727989123,
-0.9144219568612212
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -1.833333333333334,
"target_ratio": 0.97,
"target_value": -1.7783333333333338
} | 234 |
-3004246369895625678 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 7], [8, 3, 4, 5], [3, 6], [0, 1, 5], [1, 3], [0, 1, 4], [8, 2, 7], [8, 1, 4, 5], [8, 1, 0], [8, 0, 2], [3, 4, 5, 7], [4, 5, 6, 7]]} | {"states": [299, 221], "expectation_value": -1.416713541178186, "params": [[-0.2761], [0.2796]], "bitstrings": ["011010100", "100100010"], "total_optimization_steps": 30, "probabilities": [0.006465740501949387, 0.006535546441178739], "optimization_time": 4.8659961223602295} | 0.21666666666666667 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.3833333333333333 * (Z(5) @ Z(4)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.366666666666667, "smallest_bitstrings": ["100100010"], "largest_eigenvalue": 11.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-5.633723290332503e-08) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(9.038224891712631e-08) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-5.633723290332503e-08) q[4];
cx q[0], q[4];
h q[5];
cx q[2], q[5];
rz(9.03822489171263... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIZIZ",
"IIIIZIZII",
"IIIIZIIIZ",
"IIIZIIZII",
"IIIZIIIIZ",
"IIIZZIIII",
"IZIIIIZII",
"IZIIIIIIZ",
"IZIIZIIII",
"IZIZIIIII",
"ZIIIIIZII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIZZIII",
"IIIZIZIII",
"IZIIIZIII",
"ZIIIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.21666666666666667,
0.05,
0.21666666666666667,
0.05,
0.21666666666666667,
0.3833333333333333,
0.21666666666666667,
0.05,
0.21666666666666667,
0.21666666666666667,
0.3333333333333333,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666... | 0.787223 | [
-5.633723290332503e-8,
9.038224891712631e-8,
7.958294249117166e-8,
1.7386550249035132e-8,
-1.3043884468388309e-8,
-1.69629256091279e-8,
-1.0961981666458043e-7,
-0.39999121805365595,
1.5707961523393583,
-1.570796306631485,
-1.5707963191745757,
-1.5707964627722495,
1.5707963198315062,
1.5707... | {
"n_parameters": 15,
"n_qubits": 9,
"optimal_eigenvalue": -3.533333333333333,
"target_ratio": 0.97,
"target_value": -3.4273333333333333
} | 327 |
6798727498355385359 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 3, 6, 8, 9], [0, 10, 7], [0, 2], [4, 7], [11, 5]]} | {"states": [1918, 1914], "expectation_value": -0.509590664149971, "params": [[[0.6678000000000001, -0.2798, 0.0053, 0.0035], [0.6266, -0.2798, 0.4575, 0.00030000000000000003], [1.0077, 0.0022, 1.0076, 0.006900000000000001], [1.0070000000000001, -0.040600000000000004, 0.7163, 0.005], [0.5662, -0.2293, 0.6078, 0.005], [0... | 0.05 * (Z(1) @ Z(3)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(6)) + 0.05 * (Z(9) @ Z(3)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(6)) + 0.05 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.1666666666... | 11 | 12 | 1 | {"smallest_eigenvalues": [-2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, -2.0333333333333337, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.002583474480663015) q[0];
rz(0.22005699546977672) q[0];
ry(-0.0984128878982217) q[1];
rz(0.22005699546977672) q[1];
cx q[1], q[0];
ry(0.6205696795200517) q[1];
rz(-0.8031278278623586) q[1];
ry(1.577134974999928) q[2];
rz(0.018143655711118305) q[2];
ry(1.2502257740... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIIIIZIZI",
"IIIIIZIIZIII",
"IIIIIZIIIIZI",
"IIIZIIIIZIII",
"IIIZIIIIIIZI",
"IIIZIZIIIIII",
"IIZIIIIIZIII",
"IIZIIIIIIIZI",
"IIZIIZIIIIII",
"IIZZIIIIIIII",
"IZIIIIIIIIIZ",
"IZIIZIIIIIII",
"IIIIZIIIIIIZ",
"IIIIIIIIIZIZ",
"IIIIZIIZIIII",
"ZIIIIIZIIIII",
"IIIIIIIIZIII",
"IIIIIIIII... | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.1,
0.1,
0.1,
0.1,
0.1,
0.16666666666666666,
0.16666666666666663,
0.16666666666666663,
0,
0,
0,
0
] | 0.975887 | [
0.002583474480663015,
0.22005699546977672,
-0.0984128878982217,
1.577134974999928,
0.018143655711118305,
1.2502257740450318,
-0.237558248147445,
-0.4754613076434802,
0.05891232181954299,
0.13364703740329179,
-0.30058267005299333,
1.5250978230590861,
0.053104085813819965,
-0.170384371085367... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -2.0333333333333337,
"target_ratio": 0.97,
"target_value": -1.9723333333333335
} | 58 |
-4103587775195423515 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4], [0, 1], [1, 3], [5, 6]]} | {"states": [33, 37], "expectation_value": -1.622980971834028, "params": null, "bitstrings": ["1011110", "1011010"], "total_optimization_steps": 45, "probabilities": [0.11461247365601161, 0.5060667706285524], "optimization_time": 40.85377311706543} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(1) + 0.16666666666666666 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["0100001", "1011001", "1011010", "0100010", "1001110", "10011... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.7156773656062848) q[0];
h q[1];
h q[2];
ry(-0.23482850507323028) q[2];
h q[3];
ry(-0.22459108126548002) q[3];
cx q[1], q[3];
ry(0.22459108126548002) q[3];
cx q[1], q[3];
ry(1.33031367503011) q[1];
cx q[1], q[0];
ry(0.7156773656062848) q[0];
cx q[1], q[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];\ncry(-1.0342) q[1], 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... | [
"IIIIZZI",
"IIZIZII",
"IIZIIZI",
"IIIIIZZ",
"IIIZIZI",
"ZZIIIII",
"IIIIZII",
"IIIIIZI",
"IIZIIII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.16666666666666666,
0.16666666666666674,
0.16666666666666666,
0,
0,
0,
0
] | 0.972441 | [
-0.44918216253096005,
1.33031367503011,
-1.4313547312125696,
-1.1924845545518266,
0.981959366348016,
0.15615021251169828,
-0.6881236629164387,
0.4513251880832956,
-0.5566164930201654,
-0.34396523126916584,
-0.301798087841898,
0.1400652240192263,
-0.46965701014646055,
0.5422302154780612,
... | {
"n_parameters": 42,
"n_qubits": 7,
"optimal_eigenvalue": -1.8333333333333333,
"target_ratio": 0.97,
"target_value": -1.7783333333333333
} | 15 |
42c8a30369b7a75bc5bed2e6569b1f7f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [39, 55], "expectation_value": -8.870067691944683, "params": null, "bitstrings": ["11011000", "11001000"], "total_optimization_steps": 80, "probabilities": [0.28174963113822254, 0.4245343800743181], "optimization_time": 114.50828313827515} | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"], "largest_eigenvalue": 18.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.756390603361468) q[0];
h q[1];
h q[2];
h q[3];
ry(1.960802890701371) q[3];
rz(-pi) q[4];
ry(-0.03363957311324232) q[4];
h q[5];
ry(0.7593746714538002) q[5];
cx q[2], q[5];
ry(-0.7593746714538002) q[5];
cx q[2], q[5];
ry(0.2851378825371864) q[2];
cx q[3], q... | 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(1.2796) 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",
"IIZIIIZI",
"IIZIIIIZ",
"ZIIIIIIZ",
"IIIIIZZI",
"IIZIIZII",
"IIIZIIZI",
"IIIIZIZI",
"IIZIZIII",
"ZIIIZIII",
"IIIIZZII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIZIIIII",
"ZIIIIIII",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IZIIIIII"
] | [
-1,
-1.75,
-0.5,
1.75,
-0.5,
-3,
-0.5,
-1,
-1.75,
-1.25,
-2.5,
-0.75,
-2.75,
-0.25,
0,
-0.25,
-1,
-0.5,
4,
0.75
] | 0.973129 | [
1.960802890701371,
1.5187493429076004,
0.5702757650743728,
0.5884320148351232,
-0.35492320054565396,
-0.00790800591482066,
-0.009886103992825745,
-0.11041315474839637,
0.4022843241340985,
0.967658013117771,
1.6733011054968419,
-1.512781206722936,
1.8222976834996618,
-0.9970092432471047,
... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -15.75,
"target_ratio": 0.97,
"target_value": -15.2775
} | 41 |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [1, 13], "expectation_value": -2.4788836469292974, "params": [[[0.6969000000000001, -0.0078000000000000005], [0.08320000000000001, -0.017400000000000002], [0.7051000000000001, -0.603], [0.2388, 0.7065], [0.081, 0.7059000000000001], [0.6651, 0.6920000000000001], [0.0901, -0.06960000000000001]], [[0.7018, -0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110110", "0011110", "1110010", "0101110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.13387575191618376) q[0];
rz(1.1268784712756936) q[0];
ry(-0.061935718834311704) q[1];
rz(-0.1256254565339984) q[1];
cx q[1], q[0];
ry(0.17863550986638815) q[1];
rz(-0.3160573702508178) q[1];
ry(1.4040934845537838) q[2];
rz(-0.04167296684653175) q[2];
ry(2.707808468... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IZIZIII",
"IIIZIZI",
"IIIZZII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-1,
0
] | 0.975619 | [
0.13387575191618376,
1.1268784712756936,
-0.061935718834311704,
-0.1256254565339984,
1.4040934845537838,
-0.04167296684653175,
2.7078084688485244,
-0.10488526508814922,
1.3362806829468774,
-0.0064888997952568545,
1.0065816399454337,
0.0076161104372490795,
1.4428275119501128,
1.359197111971... | {
"n_parameters": 30,
"n_qubits": 9,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 37 |
351426386592622195 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [6, 7], [1, 2], [2, 5], [1, 3], [3, 4], [5, 7], [0, 3], [4, 6], [4, 5]]} | {"states": [57, 198], "expectation_value": -0.09461467698140022, "params": [[0.0695], [-0.0693]], "bitstrings": ["11000110", "00111001"], "total_optimization_steps": 10, "probabilities": [0.004526492217671176, 0.004526492217671176], "optimization_time": 1.5128707885742188} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["01010110", "00111001", "11101001", "10101001", "11000110", "00010110"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[6], q[2];
rz(0.6664798197220594) q[2];
cx q[6], q[2];
cx q[2], q[1];
rz(0.6664798197220594) q[1];
cx q[2], q[1];
cx q[1], q[3];
cx q[2], q[5];
rz(0.6664798197220594) q[3];
cx q[1], q[3];
rz(4.013461474272617e-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[7];
rz(x0) q[7];
cx q[6], q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2]... | null | {"circuits": [], "gradients": []} | [
"IZIIIZII",
"ZZIIIIII",
"IIIIIZZI",
"IIZIIZII",
"ZIZIIIII",
"IIIIZIZI",
"IZIZIIII",
"IIZZIIII",
"IIIZZIII",
"IIIIZIIZ",
"IZIIIIII",
"IIIIIZII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIZIII",
"IIIZIIII",
"IIIIIIIZ"
] | [
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
] | 0.518187 | [
0.6664798197220594,
4.013461465258539e-8,
-0.7853981554425832
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 97 |
8f21ca6a42f39e8feac9b6bc02479d2e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"weight": 17, "source": 2, "target": 6}, {"... | {"states": [95, 94], "expectation_value": -15.2944084050491, "params": [[-0.049, -0.0164], [0.0784, 0.0601]], "bitstrings": ["10100000", "10100001"], "total_optimization_steps": 10, "probabilities": [0.011671554813744694, 0.014085880268940193], "optimization_time": 2.7414801120758057} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.0 * Z(3) + 10.5 * Z(2) + 1... | 1 | 8 | 2 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 130.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05453820477267077) q[0];
cx q[1], q[0];
rz(0.7671305858021964) q[0];
rx(0.6589476253562743) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.05453820477267077) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.05453820477267077) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
0,
14,
10.5,
12.5,
15.5,
12.5,
7.5
] | 0.970748 | [
-0.05453820477267077,
-1.6138001937906719,
0.7671305858021962,
-1.1113850361936988,
0.560266999917792,
-1.4467304876862626,
-1.7781431021082255,
0.7419717518279245,
0.6589476253562743,
-0.013301907025763102,
0.10284957976313622,
-0.6549559357199661,
0.7218159966723807,
-0.18542254943082181... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 59 |
a7c7223774ba69fd59573a2c150129c3 | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -25.834810385637212, "params": [0.0015, 0.18430000000000002, 0.0017000000000000001, 0.2069, 0.0051, 0.2526, -0.0028, 0.307, 0.0033, 0.3055, 0.0028, 0.3135, 0.40890000000000004, 0.0037, 0.4092, -0.0022, 0.0007, 0.30720000000000003, 0.0073, 0.2581, 0.0016, 0.3027, 0.0039000000000... | -0.25 * (Z(0) @ Z(5)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(8)) + -1.25 * (Z(10) @ Z(9)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(8)) + -0.75 * (Z... | 6 | 12 | 2 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["111011111111"], "largest_eigenvalue": 24.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(0.016601095060268637) q[0];
rz(1.1707703786516968) q[0];
rx(0.06459627702943035) q[1];
rz(1.9573237523712148) q[1];
rx(0.06634073900192831) q[2];
rz(2.4733156865180925) q[2];
rx(1.021136204425864) q[3];
rz(1.4908281404636199) q[3];
rx(-0.024760025519523093) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIIIZ",
"IIIIIZZIIIII",
"IIIIIZIIIIIZ",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIZIIIIIIIIZ",
"IZIIIIIIIIIZ",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIZIIZII",
"IIIIIIIIIZIZ",
"IIIIIZIIIZII",
"IIIZIIIIIZII",
"IIIIIIZIZIII",
"IIIIIIIIZIIZ",
"IIIZIIIIZIII",
"IIZIIIIIZIII",
"IZIIIIIIZ... | [
-0.25,
-1.75,
-0.5,
-0.75,
-0.75,
-0.75,
-1,
-0.25,
-1.25,
-0.75,
-1,
-0.5,
-0.5,
-0.75,
4.5,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-1,
-1.25,
-0.5,
-0.75,
-0.5,
-1.25,
-0.75,
-0.75,
-0.75,
-0.75,
-1.75,
-1.25,
-1,
-0.5,
-0.75,
-1,
-0.75,
2.25,
... | 0.97183 | [
0.016601095060268634,
-0.4000259481431998,
0.06459627702943038,
0.38652742557631853,
0.06634073900192833,
0.9025193597231955,
1.021136204425864,
-0.0799681863312772,
-0.02476002551952309,
-0.055047130213328826,
0.129517417762354,
-0.005437032263180819,
-0.01888798245221089,
0.0079603046984... | {
"n_parameters": 50,
"n_qubits": 12,
"optimal_eigenvalue": -27.25,
"target_ratio": 0.97,
"target_value": -26.4325
} | 6 |
-8643836968904966374 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5, 6], [1, 4], [3, 4, 5, 6], [0, 3, 4, 5], [1, 2, 5], [0, 2, 6], [2, 3]]} | {"states": [87, 86], "expectation_value": -1.4535537699506658, "params": [1.1022, 0.0006000000000000001, 1.091, 0.0092, 0.8857, -0.004200000000000001, 0.5834, 0.0081, 1.0995000000000001, -0.0009000000000000001, 1.097, 0.0089, 1.0921, 0.0013000000000000002, 0.6714, 0.0054, 1.1021, -0.006200000000000001, 1.0992, 0.001200... | 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0... | 6 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["0101001"], "largest_eigenvalue": 6.000000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(2.1541447078693374) q[0];
rz(1.3557630779462588) q[0];
rx(0.21776756620716578) q[1];
rz(1.452370584954629) q[1];
rx(3.030434109667254) q[2];
rz(1.2416590072067972) q[2];
rx(0.7049734421157239) q[3];
rz(1.7476139495654515) q[3];
rx(1.7846792732240235) q[4];
rz(1.39776... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"IIZIIZI",
"IIIIZZI",
"IZIIIZI",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"ZIIIIIZ",
"IIIZIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"ZIIIIII",
"IIIIIZI",
"IIIZIII",
"III... | [
0.08333333333333333,
0.25,
0.25,
0.16666666666666666,
0.25,
0.16666666666666666,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.16666666666666666,
0.... | 0.97269 | [
2.1541447078693374,
-0.21503324884863817,
0.21776756620716578,
-0.11842574184026784,
3.030434109667254,
-0.3291373195880987,
0.7049734421157239,
0.1768176227705545,
1.7846792732240235,
-0.17303337189013662,
2.019800582924846,
-0.21629061827332557,
0.963220095726232,
0.18892102415953896,
... | {
"n_parameters": 34,
"n_qubits": 7,
"optimal_eigenvalue": -2.333333333333334,
"target_ratio": 0.97,
"target_value": -2.2633333333333336
} | 67 |
410a620476bb1ab89428221268021245 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [12, 72], "expectation_value": -6.411631293735966, "params": null, "bitstrings": ["1110011", "0110111"], "total_optimization_steps": 20, "probabilities": [0.0601264549783317, 0.788819012488134], "optimization_time": 25.917374849319458} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["1101011", "0101111", "1110101", "1110011", "0110111"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
ry(-1.525316287080557) q[1];
h q[2];
ry(-0.4635246956282743) q[2];
h q[3];
cx q[3], q[2];
ry(0.4635246956282743) q[2];
cx q[3], q[2];
ry(-0.7097453387884464) q[2];
ry(0.7841495963456939) q[3];
h q[4];
ry(-0.4635246956282743) q[4];
cx q[0], q[4];
ry(0.463... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IZIIIZI",
"IZIIIIZ",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"IIIIZZI",
"IZIIZII",
"ZIIIZII",
"IIIZIZI",
"ZIIZIII",
"IIIZZII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIIZII",
"IIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1.5,
-2,
-2.5,
-1.5,
-1
] | 0.990361 | [
-1.525316287080557,
-1.6516093367694655,
-0.9270493912565486,
0.7841495963456939,
-0.551144413376185,
0.530091856908911,
0.5655279925104985,
-0.31720185082452274,
-0.42736748625662185,
0.05151037849362506,
-0.0336782670524875,
0.0448106142806983,
-0.017479746617684006
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 1 |
0615486ccb356b09654d7a8dd1e9f354 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -8.806882188200468, "params": [[[-0.0019, 0.002], [0.0027, 0.0082], [0.0023, 0.008400000000000001], [0.0023, 0.0098], [0.0026000000000000003, 0.0098], [1.1791, 0.0074], [1.5993000000000002, 0.0028]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 160, "probabi... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75, -10.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1111110", "1111100"], "largest_eigenvalue": 7.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.007324372560228134) q[0];
rz(-0.3217446099573232) q[0];
rx(-0.32112615429581043) q[1];
rz(0.2552145491671141) q[1];
rx(0.05797674138136179) q[2];
rz(-0.45678662559611716) q[2];
rx(0.05797674138136179) q[3];
rz(-0.1372770562752476) q[3];
rx(-0.17000396403266071) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IIIZIZI",
"IIZZIII",
"IIIZZII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIZIIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IIIZIII",
"ZIIIIII",
"IZIIIII"
] | [
-0.75,
-1,
-0.75,
-0.75,
-0.25,
-1.5,
-0.75,
-1.25,
-0.25,
1.75,
-0.5,
-0.75,
-0.25,
-0.25,
0.5,
-0.75,
-1,
1,
0.75
] | 0.97204 | [
-0.007324372560228134,
-0.3217446099573232,
-0.32112615429581043,
0.2552145491671141,
0.05797674138136179,
-0.45678662559611716,
-0.1372770562752476,
-0.17000396403266071,
1.27681703400942,
0.03300015164953574,
2.905576028200642,
-0.0747657468147398
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 8 |
3c8bd33161699cb22d1ae18a511877e9 | 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": 12, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 5}, {"weight": 12, "source": 0, "tar... | {"states": [252, 244], "expectation_value": -21.2464530885644, "params": [[-0.0224, -0.0158, 0.0631], [0.0473, 0.07010000000000001, -0.0082]], "bitstrings": ["100000011", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005289131336581752, 0.006217286921210815], "optimization_time": 6.767329931259155} | 4.5 * (Z(0) @ Z(3)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100001011"], "largest_eigenvalue": 187.0} | 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(0.1515728488958203) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1515728488958203) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1515728488958203) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.1515728488958203) q[2];
cx q[3], q[2];
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIZZIII",
"IIIIZIIIZ",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"ZIIIIZIII",
"ZIIIIIZII",
"ZIIIZIIII",
"ZIZIIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIIZII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
24,
12,
14.5,
15,
19,
18.5,
0.5,
-1,
12.5
] | 0.971954 | [
0.1515728488958203,
-1.1352170474079428,
0.5746817592287118,
-0.8649704692143048,
-0.7701087377673534,
-1.3915974306549959,
-0.4029895134716305,
0.7478510481473699,
1.170458017734305,
1.0471777458739444,
0.2871058204447927,
-0.20368695777537055,
-0.4285298091014381,
0.8994547323501563,
-... | {
"n_parameters": 33,
"n_qubits": 9,
"optimal_eigenvalue": -85,
"target_ratio": 0.97,
"target_value": -82.45
} | 49 |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 22.505495309829712} | 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(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9895735627532725) q[0];
rz(-pi) q[0];
h q[1];
ry(1.649206030902672) q[1];
cx q[1], q[0];
ry(0.020750894699326963) q[0];
cx q[1], q[0];
ry(0.06475921605593957) q[1];
ry(-0.025621518648993244) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.08561498708161709) q[3];
h q[4];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IIZZII",
"IIZIIZ",
"IZIZII",
"IZIIIZ",
"IZZIII",
"IZIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"IIIIZI",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-2,
0,
-1
] | 0.9963 | [
-1.588799124059266,
-1.6939350649793659,
-1.4943029822572422,
1.649206030902672,
1.4395281306577028,
-0.10174365177732247,
-0.04150178939865393,
0.14037315026251265,
0.12951843211187913,
0.07504750220570425,
0.07097634417369998,
-0.03891395490893547,
-0.02859920646304469,
-0.09101380963563... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 1 |
d570f88b03391174f5c4fdc37798fafa | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [208, 240], "expectation_value": -3.4438587173498565, "params": [0.40130000000000005, 0.0006000000000000001, 0.4046, 0.0007, 0.4043, 0.0031000000000000003, 0.404, 0.0014, 0.4032, -0.0013000000000000002, 0.3976, -0.0008, 0.40180000000000005, 0.0004, 0.40190000000000003, 0.0125, 0.1124, 0.1978, 0.1108000000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(1) + -1.0 * Z(4) + -1.5 * Z... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00001111"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(0.6175144414593497) q[0];
rz(-0.22232900427623736) q[0];
rx(0.5183667130636511) q[1];
rz(0.016926362240339263) q[1];
cx q[1], q[0];
rz(0.0014986246313128393) q[0];
cx q[1], q[0];
rz(1.7254754685593765) q[0];
ry(1.6584657436649062) q[0];
rz(-1.4087148483683158) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIZIIIIZ",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IZZIIIII",
"IZIIIIZI",
"IZIZIIII",
"IIZIIZII",
"ZIIIIZII",
"IIIZZIII",
"IZIIZIII",
"IIZIIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1,
-1,
-1,
-1.5,
-0.5,
-0.5
] | 0.975672 | [
0.6175144414593497,
-0.22083037964492458,
0.5183667130636511,
0.016926362240339263,
0.9297837846283916,
0.2697403432603015,
0.7475635848314435,
0.2750676878012669,
0.1077961393889561,
0.05319325525718893,
-0.2064230392215719,
0.4454149303901243,
-0.14722154626999356,
0.20234078815004414,
... | {
"n_parameters": 74,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 14 |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 12], "expectation_value": -1.9998648604775686, "params": null, "bitstrings": ["1111", "0011"], "total_optimization_steps": 13, "probabilities": [1.9001409473807688e-05, 0.9999183586751094], "optimization_time": 3.773240566253662} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"], "largest_eigenvalue": 4.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(-0.354728125038139) q[0];
ry(-0.4482118389810244) q[1];
ry(1.1755110513092433) q[2];
ry(0.5002955961412344) q[3];
ry(0.16063370756801337) q[4];
ry(1.5622279807339) q[5];
ry(1.1768090945097947) q[6];
ry(1.5622279807339) q[7];
ry(1.5666955069360808) q[8];
ry(1.5127972... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.4449) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IZIZ",
"ZIIZ",
"IZZI",
"ZIZI",
"IZII",
"IIIZ",
"ZIII",
"IIZI"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.972165 | [
-0.354728125038139,
-0.4482118389810244,
1.1755110513092433,
0.5002955961412344,
0.16063370756801337,
1.5622279807339,
1.1768090945097947,
1.5666955069360808,
1.5127972230668947,
-0.024986189269166677,
0.48443925419363265,
0.015176939504703403,
-0.07719483818697466,
0.3729730085267119,
0... | {
"n_parameters": 60,
"n_qubits": 16,
"optimal_eigenvalue": -19.999999999999957,
"target_ratio": 0.97,
"target_value": -19.39999999999996
} | 52 |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [5, 7], "expectation_value": -1.6018229138877809, "params": [[[0.2893, 0.1958], [0.398, -0.1693], [0.4046, -0.16340000000000002], [0.6722, -0.0015], [0.6264000000000001, 0.0028], [0.6399, -0.0018000000000000002]], [[0.2871, 0.19590000000000002], [0.39730000000000004, -0.1693], [0.4067, -0.16340000000000002],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.8473521450627363) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.8473521450627363) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.042967194764701365) q[0];
cx q[3], q[0];
h q[4];
cx q[2], q[4];
rz(-0.8473521450627363) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
2,
2,
2,
1.75,
2,
1.75,
2,
2,
1.75,
-0.5,
-1,
-0.5,
-0.5,
-0.5,
-0.5
] | 0.505615 | [
-0.8473521450627363,
-0.042967194764701365,
0.0646286253227127,
0.4276632086634684,
0.7850932252334482
] | {
"n_parameters": 5,
"n_qubits": 7,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 131 |
4187cb356e6f58a0c6714f20153352eb | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [145, 147], "expectation_value": -10.999986261504706, "params": null, "bitstrings": ["101101110", "101101100"], "total_optimization_steps": 41, "probabilities": [0.49999845943863325, 0.49999997784832195], "optimization_time": 53.20280933380127} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["111101110", "111101100", "111111110", "101111100", "111111100", "101101100", "101101110", "101111110"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-1.5081500063348694) q[0];
h q[1];
ry(0.8065816535019376) q[1];
h q[2];
ry(-0.7540750031674347) q[2];
h q[3];
ry(-0.7540750031674347) q[3];
h q[4];
ry(1.6131633070038751) q[4];
cx q[4], q[1];
ry(-0.8065816535019376) q[1];
cx q[4], q[1];
cx q[4], q[2];
ry(0.75... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIZII",
"IIIZIIIZI",
"IIZIIIZII",
"IIZIIZIII",
"IIZIIIIZI",
"IIZZIIIII",
"ZIIIIIIIZ",
"ZIIIIIIZI",
"IIIIZIZII",
"IIIIZZIII",
"IIIZZIIII",
"IIZIZIIII",
"IZIIIZIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIIZI",
"... | [
-0.25,
-0.75,
-0.75,
-0.5,
-1.5,
-0.25,
-0.5,
-0.25,
-1.5,
-0.75,
1.25,
-0.75,
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-2,
-0.25,
-1.5,
1.5,
0,
-0.75,
0.5,
2,
0.5
] | 0.994759 | [
1.6131633070038751,
-1.5081500063348694,
1.454332119459762,
-1.566270194312548,
-1.4608687802827236,
0.027334740020596077,
-0.043700135081208874,
0.014272153998925395,
0.013217836416566887,
-0.14540721110637736,
-0.029155185286489253,
-0.06689160939984991
] | {
"n_parameters": 12,
"n_qubits": 9,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
96ad00ceee3f9c4e7577fb22d2b67779 | 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": 1, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 6, "source": 2, "targ... | {"states": [154, 218], "expectation_value": -40.16810511822339, "params": null, "bitstrings": ["101100101", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09375692448695085, 0.2068702820557305], "optimization_time": 174.49224066734314} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 17.0 * Z(2) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 146.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.08791191676338868) q[0];
ry(-0.33754507559349983) q[1];
rz(-pi) q[1];
h q[2];
ry(-23.54483630508895) q[2];
h q[3];
ry(14.060833410252924) q[3];
rz(-pi) q[4];
ry(-0.9826654190681591) q[4];
rz(-pi) q[5];
ry(-0.3059806607972074) q[5];
cx q[2], q[5];
ry(-4.691... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-23.4164) 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] =... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZZIIII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIZIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIZIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
17,
0.5,
14.5,
12,
3,
14.5,
5,
11.5,
5
] | 0.970321 | [
-23.54483630508895,
-1.7344826067047194,
49.980197664918016,
9.383386224212316,
-6.271914019307241,
10.912726493420333,
29.956408283445157,
23.264278099504317,
38.151645845580276,
34.638908360457215,
0.779602309158077,
14.060833410252924,
33.81330841654803,
0.2555633208025561,
-0.0449921... | {
"n_parameters": 80,
"n_qubits": 9,
"optimal_eigenvalue": -83,
"target_ratio": 0.97,
"target_value": -80.50999999999999
} | 104 |
66df0598d202838ea4b7a5d39ae6eb65 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, ... | {"states": [10, 52], "expectation_value": -2.9043568220198486, "params": [[0.0714, 0.0736, 0.0782, 0.0737], [-0.056100000000000004, -0.061700000000000005, -0.0722, -0.0682]], "bitstrings": ["1110101", "1001011"], "total_optimization_steps": 10, "probabilities": [0.021852557550123646, 0.024828618981402737], "optimizatio... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1001011"], "largest_eigenvalue": 17.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.15053958060284992) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.15053958060284992) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.15053958060284992) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.15053958060284992) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IZIIIIZ",
"IZIIZII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-2.5,
-1.5,
-1.5,
-0.5,
-1.5,
-2
] | 0.868969 | [
-0.15053958060284992,
1.4924869167131416,
-1.142370616693351,
-0.5137699456885314,
0.6351770169552184,
-0.9711776535790003,
-0.6628675214839963,
0.007674203981952836,
0.18262592012611634,
-0.38137587240005766,
-0.970182113166352,
1.1576018612771835,
-0.5360850829632657,
-0.8952957935785801... | {
"n_parameters": 28,
"n_qubits": 7,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
-7580555022610608366 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [1, 2, 3, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 4, 6]]} | {"states": [115, 123], "expectation_value": -1.240729896841646, "params": null, "bitstrings": ["10001100", "10000100"], "total_optimization_steps": 48, "probabilities": [0.116420050409194, 0.7612737738693971], "optimization_time": 83.18894982337952} | 0.05 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.3 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.05 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2833333333333334, -1.2833333333333334, -1.2833333333333334, -1.2833333333333334], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.2000000000000006, "smallest_bitstrings": ["11000000", "01001001", "10000100", "00001101"], "largest_eigenvalue": 5.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.2527049951120781) q[0];
h q[1];
ry(-2.386810862469583) q[2];
rz(-pi) q[2];
ry(-2.814884592635478) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.11075855986339725) q[4];
h q[5];
ry(-0.2517741608613294) q[5];
cx q[1], q[5];
ry(0.2517741608613294) q[5];
cx q[1], q[5];
ry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.3603) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IIZIZIII",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZZII",
"IIZIIZII",
"IZIIIIZI",
"IZIIIIIZ",
"IZIIZIII",
"IZZIIIII",
"ZZIIIIII",
"IZIIIZII",
"IIIZIIIZ",
"IIIZIZII",
"IZIZIII... | [
0.05,
0.13333333333333333,
0.13333333333333333,
0.3,
0.05,
0.13333333333333333,
0.05,
0.13333333333333333,
0.13333333333333333,
0.05,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.16666666666666666,
0.08333333333333333,
0... | 0.971709 | [
1.3618009422586328,
1.1086684546951973,
0.2708396222907685,
-0.5035483217226588,
0.6755233313251081,
0.20649958566952564,
-0.4516689737785683,
0.501947760648761,
-0.3484786417492797,
0.5576486365959562,
0.5167317981574604,
-0.5054099902241562,
0.2672525646451948,
-0.33837646195743293,
0.... | {
"n_parameters": 47,
"n_qubits": 8,
"optimal_eigenvalue": -1.2833333333333334,
"target_ratio": 0.97,
"target_value": -1.2448333333333335
} | 2 |
1960014187574628116 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 5, 6, 7], [0, 4], [1, 4]]} | {"states": [243, 211], "expectation_value": -1.0078272624619014, "params": null, "bitstrings": ["00001100", "00101100"], "total_optimization_steps": 57, "probabilities": [0.1403236232503785, 0.15204758025720638], "optimization_time": 89.15856862068176} | 0.05 * (Z(2) @ Z(3)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.1 * Z(3) + 0.1 * Z(2) + 0.1 * Z(5) + 0.1 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, -1.2000000000000002, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
ry(-2.6923974583408463) q[3];
rz(-pi) q[3];
h q[4];
ry(-0.5761004097648326) q[4];
cx q[1], q[4];
ry(0.5761004097648326) q[4];
cx q[1], q[4];
ry(-0.3215826225275981) q[4];
cx q[0], q[4];
ry(0.3215826225275981) q[4];
cx q[0], q[4];
ry(1.31530312571... | 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[1], 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] = me... | [
"IIIIZZII",
"IIZIZIII",
"IIZIIZII",
"IZIIZIII",
"IZIIIZII",
"IZZIIIII",
"ZIIIZIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIIIZ",
"IIIZIIZI",
"IIIIZIII",
"IIIIIZII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIIIIIZI"
] | [
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.05,
0.5,
0.5,
0.1,
0.1,
0.1,
0.1,
0.1,
0,
0,
0
] | 0.970946 | [
-1.1522008195296651,
1.3153031257142687,
-0.6431652450551962,
1.5117770870591212,
0.5567750296691458,
-0.6277178292173567,
0.3084088913946328,
0.8536280495910101,
0.5359461639098789,
-0.2152017288708335,
0.052331162110542485,
0.43592991160614175,
0.4547263432949564,
-0.7644017837728105,
... | {
"n_parameters": 51,
"n_qubits": 8,
"optimal_eigenvalue": -1.2000000000000002,
"target_ratio": 0.97,
"target_value": -1.1640000000000001
} | 27 |
4092104311605746602 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 5], [0, 1, 6, 7], [2, 4, 6], [0, 2, 3, 7], [5, 6], [8, 6, 7], [8, 2], [0, 2, 4, 5], [3, 4], [1, 2, 3], [1, 4], [0, 8, 3, 5]]} | {"states": [468, 484], "expectation_value": -3.2779288609401136, "params": null, "bitstrings": ["000101011", "000011011"], "total_optimization_steps": 48, "probabilities": [0.07190106427438497, 0.8855349670920769], "optimization_time": 110.59394884109497} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["000011011"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(1.4909169080026725) q[0];
ry(-2.997282897089365) q[1];
rz(-pi) q[1];
h q[2];
ry(1.1197275814540317) q[2];
h q[3];
h q[4];
ry(-0.42096302058369167) q[4];
cx q[3], q[4];
ry(0.42096302058369167) q[4];
cx q[3], q[4];
ry(1.1932884814370048) q[3];
ry(-0.60246404780... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5158) 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] = m... | [
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZZIIIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIIZII",
"IZIIIIZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"... | [
0.16666666666666666,
0.25,
0.25,
0.08333333333333333,
0.25,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.5,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.16666666666666666,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666... | 0.973125 | [
1.4909169080026725,
1.1197275814540317,
-1.1536349538142412,
1.371926940434961,
-1.1770888824865215,
-0.8419260411673833,
1.0183683391354783,
-0.5042288373846574,
1.2261206039960864,
-0.4135720645494687,
0.05564905872545661,
0.3498402846030531,
-0.19647042083316615,
-0.32248597697784054,
... | {
"n_parameters": 35,
"n_qubits": 9,
"optimal_eigenvalue": -3.4166666666666665,
"target_ratio": 0.97,
"target_value": -3.3141666666666665
} | 10 |
c5d57071b024d109c38c43678d62eaf1 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -9.29999589787212, "params": null, "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [2.81305992022024e-07, 0.9999988346985311], "optimization_time": 8.827524423599243} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"], "largest_eigenvalue": 15.700000000000001} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(0.770690699219718) q[0];
h q[1];
ry(1.4871712470846223) q[1];
ry(-2.708001184483433) q[2];
rz(-pi) q[2];
cx q[1], q[2];
ry(-0.4298731353811252) q[2];
cx q[1], q[2];
cx q[1], q[0];
ry(-0.770690699219718) q[0];
cx q[1], q[0];
ry(0.1454074864826947) q[0];
ry(-0.... | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(0.7408) 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 \"stdgat... | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IZZIII",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IZIIII",
"IIZIII",
"ZIIIII"
] | [
0.9,
1.8,
0.9,
-0.1,
-0.2,
-0.1,
4.5,
2.25,
4.5,
-0.5,
-0.25,
-0.5
] | 0.998049 | [
0.707331722307411,
1.4871712470846223,
0.8597462707622504,
-1.3799562985781975,
-1.4711756176015598,
1.541381398439436,
-1.3965271552689695,
-0.16148817852256322,
-0.2575056935640775,
0.2663957319896916,
-0.1803796305048725,
0.0016697777359003935,
-0.24197649101399368
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -9.3,
"target_ratio": 0.97,
"target_value": -9.021
} | 1 |
bf001351f2bf5e55c043b36bf1cfc0ff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 6}, ... | {"states": [41, 57], "expectation_value": -2.1107363959008087, "params": [0.001, 0.44820000000000004, 0.33280000000000004, 0.16140000000000002, 0.6077, 0.0407, 0.6049, -0.001, 0.6062000000000001, 0.0021000000000000003, 0.3352, -0.1168, 0.0033, 0.4359, 0.6006, 0.0001, 0.0071, 0.4252, 0.3347, 0.1467, 0.6035, 0.0517, 0.59... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(7) @ Z(2)) + ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000011", "10010110", "10100110", "11010010", "11000110"], "largest_eigenvalue": 6.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.014501327735563205) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.014501327735563205) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.014501327735563205) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(-0.014501327735563205) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} | [
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIZZZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIIZIZII",
"ZIIIIZII",
"IZIIIZII",
"ZIIZIIII",
"IZIZIIII",
"ZZIIIIII",
"ZIIZIZII",
"IZIZIZII",
"ZZIIIZII",
"ZZIZIIII",
"ZZIZIZII",
"IIZIZIII",
"ZIIIZIII",
"ZIZIIIII",
"ZIZIZIII",
"IIIIIIIZ",
"IIIIIIZ... | [
0.25,
0.25,
0.25,
-0.25,
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,
-1,
-0.25,
0.125,
0,
-0.125,
-0.25,
0.125,
-0.625
] | 0.979318 | [
-0.014501327735563205,
1.0347150784178718,
-0.5692598202979595,
0.8538840510919471,
0.449639128842699,
-0.5166005433180799,
-0.5904170101921311,
0.7104836149796329,
1.0334025197694245,
-0.9166130684491123,
0.10267877018475241,
0.640899445953751,
-0.04544482157122929,
1.0068858003288548,
... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -64.5,
"target_ratio": 0.97,
"target_value": -62.565
} | 48 |
667876742186281536 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4], [1, 4, 5, 6, 7], [8, 1, 5, 0], [0, 1, 3, 6, 7, 8], [1, 3, 4, 7, 8], [0, 1, 5, 7], [8, 3, 5], [0, 2, 3, 6, 8], [1, 2, 3, 5], [0, 3, 4, 6, 7, 8], [0, 1, 3, 5], [0, 1, 2, 6]]} | {"states": [351, 382], "expectation_value": -1.8462749394590527, "params": [[0.4605], [-0.4062]], "bitstrings": ["010100000", "010000001"], "total_optimization_steps": 50, "probabilities": [0.010355906584974407, 0.01073608424381655], "optimization_time": 2.8949010372161865} | 0.41666666666666663 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(0)) + 0.3 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(3) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["010000001"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-5.222392248875381e-07) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-8.271247745942106e-08) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-1.988155437751244e-09) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(6.63905961269301e-09) 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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIZI",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZIZIIII",
"IIZZIIIII",
"... | [
0.41666666666666663,
0.21666666666666667,
0.18333333333333335,
0.3,
0.25,
0.18333333333333335,
0.15000000000000002,
0.08333333333333334,
0.05,
0.13333333333333333,
0.3833333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.05,
0.16666666666666669,
0.2,
0.13333333333333333... | 0.96875 | [
-5.222392248875381e-7,
-8.271247745942106e-8,
-1.988155437751244e-9,
6.63905961269301e-9,
-1.672443425034668e-8,
4.396060248703721e-8,
-3.4534154468877734e-8,
2.796572371084759e-8,
6.480258012565002e-8,
4.6617206729879565e-9,
2.446387530724989e-8,
6.961242907916931e-8,
-9.436354335014759e-8,... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -2.6666666666666665,
"target_ratio": 0.97,
"target_value": -2.5866666666666664
} | 500 |
3d599008e6d247101eb02503201a8a05 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [620, 44], "expectation_value": -5.593513094539473, "params": [[0.14250000000000002], [-0.2571]], "bitstrings": ["110110010011", "111111010011"], "total_optimization_steps": 30, "probabilities": [0.0010834100238563556, 0.001083410023856356], "optimization_time": 8.620789289474487} | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 1 | 12 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.08055982018340721) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(0.08055982018340721) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.5225355503098899) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0805598201834072... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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[12] c;
qubit[12] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIIIZIIIII",
"IZZIIIIIIIII",
"IZIIIIZIIIII",
"IIZIIZIIIIII",
"IIIIIZZIIIII",
"IZIIIZIIIIII",
"IIZIIIIIIZII",
"IIIIIIZIIZII",
"IZIIIIIIIZII",
"IIIIIZIIIZII",
"IIZIIIIIZIII",
"IIIIIIZIZIII",
"IZIIIIIIZIII",
"IIIIIZIIZIII",
"IIIIIIIIZZII",
"IIZIIIIZIIII",
"IIIIIIZZIIII",
"IZIIIIIZI... | [
0.5,
2,
1,
0.5,
1,
1,
-0.5,
-1,
-1,
-1,
-1,
-0.5,
-2,
-0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
0.5,
1,
-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,
1,
-0.5,
-0.5,
-0.5,
1.5,
2,
3,
2,
-2,
... | 0.869132 | [
0.08055982018340721,
-0.35470681563137524,
0.5225355503098899,
1.1234973761473965,
1.3097500534732263,
0.06301837355841679,
0.0172289539833638,
1.175101985651543,
-0.050600734974519,
-0.913335335482333,
1.0536620339595795,
1.7102271339985182,
2.127471121365935,
-0.06929635052414747,
1.03... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -4.25,
"target_ratio": 0.97,
"target_value": -4.1225
} | 500 |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | adaptive_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": [38, 7], "expectation_value": -12.815613227508058, "params": null, "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 61, "probabilities": [0.1500372955345014, 0.5932610212698615], "optimization_time": 102.87357330322266} | 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 ... | 13 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"], "largest_eigenvalue": 72.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.09852088117442483) q[0];
rz(0.2464321943833836) q[0];
rx(0.013740361534353596) q[1];
rz(0.12256695080273028) q[1];
rx(0.05080481933461604) q[2];
rz(0.549588069015392) q[2];
rx(0.06690848796093422) q[3];
rz(0.38811176682309867) q[3];
rx(0.877826886335347) q[4];
rz(0... | null | {"k": 4} | {"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(-1.4894) 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",
"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,
2.25,
2.5,
2.5,
2.5,
-3.25,
-3.75,
-3.5,
-3.25,
-3,
-2.75,
-3
] | 0.972546 | [
0.09852088117442481,
0.29714743619100425,
0.013740361534353596,
0.1099884739568158,
0.050804819334616044,
0.589456889889742,
0.06690848796093424,
0.10021892232913784,
0.8778268863353469,
0.10725033732893174,
0.6196906577153632,
0.08294956462237285,
0.6366887474608689,
0.13202917432697883,
... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 12 |
b6a304d520c14d5694a43ad2063dd94f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [3, 15], "expectation_value": -5.272963515324031, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 35, "probabilities": [0.08774728748655428, 0.7910100498552921], "optimization_time": 26.249594926834106} | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"], "largest_eigenvalue": 6.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.13743803027777515) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.5694632513900186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.13743803027777515) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.06719014077107104) q[4];
cx ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"ZIIZI",
"ZIIIZ",
"IZIZI",
"IZZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"ZIIII",
"IZIII"
] | [
-0.5,
-2,
-0.5,
-0.25,
1.25,
-0.25,
-1.25,
-1.25,
0,
-0.25,
0.25,
-0.25,
0.25
] | 0.961404 | [
-0.13743803027777515,
-1.5694632513900186,
0.06719014077107104,
1.6592611721423123,
-0.07731326115708588,
-0.2931724668302063,
1.5177320101520593,
-1.3559685672286401,
-0.03723627267261057,
-1.2295121221910628,
-0.2434190042084019,
1.251513234547198,
-1.643211273080767,
-0.2196509142089397... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -5.75,
"target_ratio": 0.97,
"target_value": -5.5775
} | 500 |
73234867a8d73902463f648150631001 | 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": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 5, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.27716443122572326, "params": [[-0.0091, 0.0112, 0.0492], [0.0483, 0.023700000000000002, -0.0328]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008925752878368451, 0.008980897733814202], "optimization_time": 26.882203578948975} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(6)) + -1.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -2.5 * Z(6) + 1.75 * Z(2) + 2.0 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 11.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.09719419956319378) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[6];
rz(0.6989836249551739) q[6];
cx q[1], q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.06470448402436971) q[2];
cx q[1], q[2];
rz(0.6633440307529... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIZZI",
"ZIIIZII",
"ZIIZIII",
"IIIZZII",
"IIZIZII",
"ZZIIIII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII"
] | [
-0.25,
-1,
0.5,
-1.25,
-0.25,
-1.25,
-1.5,
-1.25,
-0.5,
-0.75,
-0.75,
-0.5,
-0.25,
-2.5,
1.75,
2,
0.5,
-1
] | 0.898383 | [
-0.09719419956319378,
0.6989836249551739,
0.9270975937150174,
-0.06470448402436971,
0.08956044328374929,
0.663344030752968,
0.01750334737436496,
-4.564173153836214,
2.1872018918678604,
0.9714600095726166,
1.1411583059189332,
-0.16415140025758682,
1.7339458795436893,
0.6659884089974357,
0... | {
"n_parameters": 22,
"n_qubits": 7,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
4286d838a0864c608421aefd7c0a8694 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [3, 1], "expectation_value": -0.2934713961912401, "params": [[-0.0274], [0.0323]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004374351903367942, 0.00441019239860798], "optimization_time": 2.1236608028411865} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"], "largest_eigenvalue": 19.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.9045870181296413) q[0];
ry(-0.2170474160110289) q[1];
rz(-pi) q[1];
h q[2];
ry(-1.5470769059317142) q[2];
rz(-pi) q[3];
ry(-0.2843983056732562) q[3];
rz(-pi) q[4];
ry(-0.2265876657411871) q[4];
h q[5];
h q[6];
h q[7];
ry(1.5286010451067176) q[7];
cx q[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",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIIZZIII",
"ZIIIIIIZ",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII",
"IIZIIIII",
"IZIIIIII"
] | [
-1,
-1.25,
-1,
-0.75,
-1,
-0.5,
-1,
-0.5,
4.25,
-0.25,
-1,
-0.75,
-0.5,
-2.25,
-0.25,
-0.5,
-2.25,
-1,
4.25,
0.75,
1.25
] | 0.974008 | [
1.5286010451067176,
-1.8091740362592825,
-1.9895281018553466,
-1.4053738037883465,
0.39796311717390886,
-0.00019440015801999722,
-0.21779767655905893,
-1.5470769059317142,
-0.42085430085678377,
0.1517805527427289,
0.10324978600895736,
-0.3105191432550561,
0.18150412591190185,
-1.0315729899... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -22.25,
"target_ratio": 0.97,
"target_value": -21.5825
} | 26 |
-3162977511417019972 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 4, 5, 6, 10, 11], [0, 2, 4, 5, 6, 8, 9, 10, 11], [0, 3, 4, 8, 9, 10, 11], [0, 2, 3, 4, 5, 6, 9, 10], [1, 2, 3, 4, 6, 7, 8, 10, 11], [2, 5, 7, 8, 9, 10, 11], [0, 2, 6, 7], [2, 3, 6, 7, 9, 10, 11], [1, 2, 3, 5, 6, 8, 9, 10], [1, 2, 3, 4, 5, 6, 8, 9]]... | {"states": [4051, 4053], "expectation_value": -1.83166558513304, "params": [1.5705, 1.5759, 1.5738, 1.5729, 1.5729, 1.5642, 1.5682, 1.5683, 1.572, 1.5748, 1.5684, 1.568, 0.0026000000000000003, 0.0026000000000000003, 1.5775000000000001, 1.5689000000000002, 0.0027, 0.0027, 1.6671, -0.0903, 1.5735000000000001, 1.573500000... | 0.0734126984126984 * (Z(1) @ Z(2)) + 0.0873015873015873 * (Z(4) @ Z(2)) + 0.05555555555555555 * (Z(4) @ Z(1)) + 0.11507936507936506 * (Z(5) @ Z(2)) + 0.05952380952380952 * (Z(5) @ Z(1)) + 0.0734126984126984 * (Z(5) @ Z(4)) + 0.2123015873015873 * (Z(6) @ Z(2)) + 0.0734126984126984 * (Z(6) @ Z(1)) + 0.0873015873015873 * ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-1.8630952380952377, -1.8630952380952377], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8452380952380953, "smallest_bitstrings": ["010010010100", "000000101010"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(1.6224578441734834) q[0];
rz(-0.0006948784236274453) q[0];
ry(1.6405742094775686) q[1];
ry(1.7495771647973006) q[2];
ry(1.4728433372038683) q[3];
ry(1.6152945437458979) q[4];
ry(1.6213313827986346) q[5];
ry(-0.016733642922600378) q[6];
ry(1.5890886312010148) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZI",
"IIIIIIIZIZII",
"IIIIIIIZIIZI",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IZIIIIIIIZII",
"IZIIIIIIIIZI",
"IZIIIIIZIIII",
"IZIIIIZIIIII",
"IZIIIZIIIIII",
"ZIIIIIIIIZII",
"ZIIIIIIIIIZI",
"ZIIIIIIZI... | [
0.0734126984126984,
0.0873015873015873,
0.05555555555555555,
0.11507936507936506,
0.05952380952380952,
0.0734126984126984,
0.2123015873015873,
0.0734126984126984,
0.0873015873015873,
0.09126984126984125,
0.1349206349206349,
0.05555555555555555,
0.09325396825396826,
0.09722222222222221,
0... | 0.978194 | [
1.6224578441734834,
1.6405742094775686,
1.7495771647973006,
1.4728433372038683,
1.6152945437458979,
1.6213313827986346,
-0.016733642922600378,
1.5890886312010148,
-0.16719979869078788,
1.671631367688522,
1.5479759207580834,
1.5390655692768154,
-0.0013897568472548906,
0.02260708638372739,
... | {
"n_parameters": 42,
"n_qubits": 12,
"optimal_eigenvalue": -1.8630952380952377,
"target_ratio": 0.97,
"target_value": -1.8072023809523805
} | 1 |
48bc2fe3cb79b98fee18d505d1ebe59b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [33, 65], "expectation_value": -4.910603879608039, "params": null, "bitstrings": ["1011110", "0111110"], "total_optimization_steps": 22, "probabilities": [0.06070092546510561, 0.7871871279988286], "optimization_time": 21.079262018203735} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) q[4];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"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,
0.5,
-1,
-1,
-1.5,
-2,
-2,
-1,
-1
] | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
9b6c90aee56ab84919f7c826e678a024 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [23471, 23467], "expectation_value": -8.154304373896803, "params": [1.5272000000000001, -0.2068, 1.4714, 0.004, 0.5994, -0.6975, 0.5900000000000001, 0.0023, 1.5891000000000002, -0.002, 1.5912000000000002, 0.007200000000000001, 1.5466, 0.0009000000000000001, 1.5461, 0.0054, 0.5855, -0.6339, 0.5833, 0.0008, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 7 | 15 | 1 | {"smallest_eigenvalues": [-9.499999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999986, "smallest_bitstrings": ["010010001010100"], "largest_eigenvalue": 28.500000000000046} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.715232848262334) q[0];
h q[1];
ry(-0.030328296195851544) q[2];
rz(-pi) q[2];
h q[3];
ry(-0.715232848262334) q[3];
cx q[1], q[3];
ry(0.715232848262334) q[3];
cx q[1], q[3];
ry(0.8365951312196482) q[1];
ry(-0.137398110733318) q[3];
h q[4];
cx q[4], q[0];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIIIIZIIZIII",
"IIIIIIIZIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIZIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
1,
1,
1,
1.25,
1.25,
1.25,
1,
1,
1,
1.5,
1.5,
... | 0.971164 | [
-1.5328804564516896,
-1.430465696524668,
1.0834096726626357,
0.8365951312196482,
-0.5509012021507701,
-0.274796221466636,
0.5569995611029345,
-0.19436412134691167,
0.4190248734622253,
-0.1534221934072706,
-0.34688012124946255,
0.35811511996319667,
0.3114564153778113,
-0.27922289113440785,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 4 |
58fa04385078dcdc0b5f9361c481400a | edge_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": [213, 185], "expectation_value": -0.0546949630467398, "params": [[0.0757], [-0.06720000000000001]], "bitstrings": ["00101010", "01000110"], "total_optimization_steps": 10, "probabilities": [0.00430699106906407, 0.004306991069064072], "optimization_time": 6.478860139846802} | 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(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.125, "smallest_bitstrings": ["00110010", "01000110", "01010001", "01110000", "10001001", "01010100",... | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIIZZI",
"IIIIIZZZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IIZZZIII",
"IIIIZIIZ",
"IZIIIIIZ",
"IZIIZIII",
"IZIIZIIZ",
"IIIZIIZI",
"IZIIIIZI",
"ZIIIIIZI",
"IZIZIIII",
"ZIIZIIII",
"ZZIIIIII",
"IZIZIIZI",
"ZIIZIIZI",
"ZZIIIIZI",
"ZZIZIIII",
"ZZIZIIZ... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.25,
0.25,
0.25,
-0.25,
0,
0.125,
0,
0,
0.125,
0,
0.125,
0.125
] | 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 |
e0dccd63ccb6f94570f2b46361c692e0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [5749, 6005], "expectation_value": -15.28519875625051, "params": [[[-0.0027, 1.2427000000000001, 0.004200000000000001, 0.0078000000000000005], [-0.003, 1.2468000000000001, -0.0029000000000000002, 0.0076], [1.2278, 0.00030000000000000003, 0.0095, 0.0068000000000000005], [-0.0037, 0.0913, -0.0032, 0.0064], [1.... | -0.5 * (Z(13) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(13)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(13)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + 0.... | 12 | 15 | 2 | {"smallest_eigenvalues": [-15.749999999999945], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.749999999999854, "smallest_bitstrings": ["110100010001010"], "largest_eigenvalue": 37.25000000000009} | OPENQASM 3.0;
include "stdgates.inc";
qubit[15] q;
ry(0.05839614278337155) q[0];
rz(pi/2) q[0];
ry(0.007699594208596339) q[1];
ry(0.6368929387613436) q[2];
ry(-0.305948830476148) q[3];
ry(0.8279255936715874) q[4];
ry(0.6687371386581469) q[5];
ry(0.6083275044008217) q[6];
ry(-0.030249047403171775) q[7];
ry(0.73392389059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IZIIIIIIIIIIZII",
"IIIIIIIIIIIZZII",
"IZIIIIIIIIIZIII",
"IIIIIIIIIIZIZII",
"IZIIIIIIIIZIIII",
"IIIIIIIIIIZZIII",
"IIIIIIIIIZIIZII",
"IZIIIIIIIZIIIII",
"IIIIIIIIIZIZIII",
"IIIIIIIIIZZIIII",
"IIIIIIIIZIZIIII",
"IIIIIIIIZZIIIII",
"IIIIIIIIZIIIIIZ",
"IIIIIIIIZIIIIZI",
"IIIIIIIIIIIIIZZ",
"... | [
-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,
0.25,
-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,
... | 0.970135 | [
0.05839614278337155,
0.007699594208596339,
0.6368929387613436,
-0.305948830476148,
0.8279255936715874,
0.6687371386581469,
0.6083275044008217,
-0.030249047403171775,
0.7339238905999639,
0.40545979371793645,
0.47414350168779645,
1.0184967181303088,
-0.11619730788514432,
0.1838879214229425,
... | {
"n_parameters": 168,
"n_qubits": 15,
"optimal_eigenvalue": -15.749999999999945,
"target_ratio": 0.97,
"target_value": -15.277499999999947
} | 37 |
b301caa8ee54d69b7ea37306c72194d5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [233, 169], "expectation_value": -30.590973841387967, "params": [1.1014000000000002, 0.11280000000000001, 0.7964, 0.43820000000000003, 1.0964, 0.2594, 0.1658, 0.5605, 1.1077000000000001, 0.2286, -0.0031000000000000003, 0.7605000000000001, -0.0039000000000000003, 0.6465000000000001, 1.1056000000000001, 0.2604... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + -4.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + -8.0 * Z(5) + -4.5 * Z(4)... | 3 | 8 | 2 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["01010110"], "largest_eigenvalue": 72.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-0.06347993300546761) q[0];
ry(2.992575480203145) q[0];
rz(-2.8384273294090185) q[0];
rz(2.1169877527792913) q[1];
ry(0.32367041637651545) q[1];
rz(-0.9241277141255932) q[1];
rz(0.3928639994170604) q[2];
ry(2.9960386583190366) q[2];
rz(-2.9496046030450467) q[2];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIZIIZ",
"IIIIIIZZ",
"IIIIZIZI",
"IIIIIZIZ",
"IIIIZZII",
"IIIIIZZI",
"IIZIIZII",
"IIZZIIII",
"IZIZIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIIZI",
"IIIIIZII",
"IIZIIIII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
1.5,
-4.5,
0,
0,
-8,
-4.5,
-6,
-1
] | 0.975073 | [
0.7541740997564996,
-0.08897060080098201,
0.0341104565438206,
0.3162561023169565,
0.9646454844957498,
-0.08022338423338521,
-0.015940874132053987,
0.24465601585825247,
1.1360293018527372,
0.15521536851054535,
0.0916895373402746,
-0.42605715799213406,
0.009023942239593907,
0.136073202055540... | {
"n_parameters": 39,
"n_qubits": 8,
"optimal_eigenvalue": -46,
"target_ratio": 0.97,
"target_value": -44.62
} | 12 |
b7602418da2fb1da8d0e3bf56e052253 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [37, 39], "expectation_value": -3.5462743948926274, "params": [-0.0137, 0.47350000000000003, 0.8049000000000001, 0.2487, -0.0082, 0.5355, 0.1789, -0.2511, 0.8109000000000001, -0.056400000000000006, 0.8057000000000001, 0.0031000000000000003, 0.8048000000000001, -0.0028, -0.0112, 0.0066, 0.8065, 0.0071, -0.016... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 3 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(-0.19413541781266302) q[0];
rz(0.4737143075248884) q[0];
rx(1.3481450265531563) q[1];
rz(0.7101312274980032) q[1];
rx(0.08114689032242231) q[2];
rz(0.39298482269195745) q[2];
rx(0.05382342065610063) q[3];
rz(-0.4688239600116697) q[3];
rx(1.4947674538218447) 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": []} | [
"IIIIIZZ",
"IIIZIIZ",
"IIZIIIZ",
"IZIIIIZ",
"IZIZIII",
"IIIIZZI",
"IIZIZII",
"IZIIZII",
"ZIIZIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1.5,
-1,
-0.5,
-1,
-1.5,
-0.5
] | 0.970244 | [
-0.19413541781266297,
0.4032852255685598,
1.3481450265531563,
0.35847725960509413,
0.08114689032242232,
0.23884228912775574,
0.05382342065610062,
-0.3631398892310509,
1.4947674538218447,
0.14683342555344495,
1.7859017636948948,
0.04798825882582202,
1.7853225188419513,
0.28173152310392174,
... | {
"n_parameters": 38,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 21 |
38f137728aa288017fb6e77e397c7c5c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [43607, 43605], "expectation_value": -1.6738957807416095, "params": [[1.4683000000000002, 0.1945, 1.5710000000000002, 0.1796, 1.5892000000000002, 0.2726, 1.6583, 1.5503, 0.2214, 1.5491000000000001, 0.275, 1.6162, 0.2452, 1.5594000000000001, 0.2516, 0.2565], [1.6665, 0.2439, 1.5862, 0.1801, 1.5669000000000002... | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0199652777777413], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776587, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.016145833333325} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.5654779670798409) q[0];
ry(0.14402944392157843) q[1];
ry(1.5070742862472157) q[2];
ry(0.00326291141612349) q[3];
ry(1.677896976577902) q[4];
ry(-0.0004180195311676016) q[5];
ry(1.6663581868950403) q[6];
ry(1.6312603084216823) q[7];
ry(0.01917365864312516) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
0.00026041666666666666,
0.00026041666666666666,
0.25,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.00078125,
0.25,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
-0.0005208333333333333,
-0.0006944444444444446,
-0.0005208333333333333,
0.... | 0.97202 | [
1.5654779670798409,
0.14402944392157843,
1.5070742862472157,
0.00326291141612349,
1.677896976577902,
-0.0004180195311676016,
1.6663581868950403,
1.6312603084216823,
0.01917365864312516,
1.7748246180111893,
-0.050733965111285736,
1.4959473649241986,
0.14239188211970258,
1.5332276298101073,
... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0199652777777413,
"target_ratio": 0.97,
"target_value": -1.9593663194444089
} | 38 |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [20, 24], "expectation_value": -2.9741073126594983, "params": null, "bitstrings": ["01011", "00111"], "total_optimization_steps": 14, "probabilities": [0.07397885559790421, 0.9005751935612479], "optimization_time": 9.315190553665161} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rz(-pi) q[0];
ry(-3.041947219049351) q[0];
h q[1];
ry(1.6318833541680478) q[1];
h q[2];
ry(-0.7379926998527211) q[2];
h q[3];
h q[4];
ry(0.8376298721779702) q[4];
cx q[1], q[4];
ry(-0.8376298721779702) q[4];
cx q[1], q[4];
h q[5];
ry(-0.7147883140515682) q[5];
h q[6];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IZIIZ",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IZZII",
"ZIZII",
"IIZZI",
"IZIII",
"IIIIZ",
"ZIIII",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-1.5,
-0.5,
-1
] | 0.991552 | [
1.626920252534508,
1.6318833541680478,
1.6752597443559405,
1.4055255953993955,
-1.4295766281031363,
1.526293908737557,
1.4857719885790526,
-1.4759853997054422,
1.5056411906827167,
-0.1302135460495614,
0.288295705195563,
0.02259902731407358,
0.052822537266667954,
0.02672121721962814,
-0.1... | {
"n_parameters": 24,
"n_qubits": 11,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 1 |
2af9abe03ae4233b8c191ac0ca401611 | 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": [159, 31], "expectation_value": -52.05603112667538, "params": [0.7256, -0.1983, 0.0018000000000000002, 0.7000000000000001, 0.5469, 0.515, 1.2056, 0.0539, 1.2043000000000001, 0.0031000000000000003, 1.2041, -0.0015, 1.1912, 0.0035, 1.2014, -0.0487, 0.7222000000000001, 0.0036000000000000003, 0.00180000000000000... | 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(0) @ Z(4)) + 6.0 * (Z(1) @ Z(7)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 9.0 * Z(3) + 1.5 * Z(2) + 8.5 * Z(4) + 3.5 * Z(0) + 13.5 * Z(7) + -5.5 * Z(1) + 21.5 * Z(5) + 20.5 *... | 18 | 8 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["11100000"], "largest_eigenvalue": 132.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.005098000239339374) q[0];
rz(-0.013358564562645725) q[0];
rx(-0.17807813877338177) q[1];
rz(1.0217896311984485) q[1];
rx(0.07328623636151836) q[2];
rz(0.7051747600831041) q[2];
rx(1.5012331778407677) q[3];
rz(0.002075896533858944) q[3];
rx(1.4903646415055976) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIZZII",
"IIIZIIIZ",
"ZIIIIIZI",
"IIZIZIII",
"IIZIIZII",
"ZIZIIIII",
"IZIZIIII",
"IZIIIIIZ",
"ZZIIIIII",
"IZZIIIII",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIIIIIIZ",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IZIIIIII"
] | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
9,
1.5,
8.5,
3.5,
13.5,
-5.5,
21.5,
20.5
] | 0.980826 | [
-0.005098000239339373,
0.19624401431892388,
-0.17807813877338177,
1.0217896311984485,
0.07328623636151836,
0.7051747600831041,
1.5012331778407677,
0.002075896533858944,
1.4903646415055976,
-0.020883053077271695,
1.5226791422064667,
0.1738222306316544,
1.5750176733204513,
0.0893586915945102... | {
"n_parameters": 45,
"n_qubits": 8,
"optimal_eigenvalue": -73.5,
"target_ratio": 0.97,
"target_value": -71.295
} | 15 |
1052590213244010121 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [1, 3], [0, 1], [1, 4], [1, 2]]} | {"states": [0, 21], "expectation_value": -4.163336342344337e-17, "params": [[0.0038, 0.003, 0.0006000000000000001, 0.0027, 0.0048000000000000004]], "bitstrings": ["11111", "01010"], "total_optimization_steps": 10, "probabilities": [0.0312508654275343, 0.0312508654275343], "optimization_time": 37.3136100769043} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 9 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10101", "01010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(0.7583550571742536) q[0];
h q[1];
ry(-0.4361961165134865) q[1];
h q[2];
ry(0.7583550571742536) q[2];
h q[3];
h q[4];
cx q[4], q[1];
ry(0.4361961165134865) q[1];
cx q[4], q[1];
ry(-0.13854880887895255) q[1];
cx q[3], q[1];
ry(0.13854880887895255) q[1];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(x0) q[0];
rx(x1) q[1];
rx(x2) q[2];
rx(x3) q[3];
rx(x4) q... | null | {"circuits": [], "gradients": []} | [
"ZZIII",
"IZIIZ",
"ZIIZI",
"IZIZI",
"IIIZZ",
"IIZZI",
"ZIIII",
"IZIII",
"IIIIZ",
"IIIZI",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0
] | 0.971566 | [
-0.872392233026973,
1.4058844315092733,
-0.2770976177579051,
1.516710114348507,
-1.1870455031477571,
0.07931640082266024,
-0.31535158291827176,
0.1063275426854823,
-0.7175260789765857,
0.05466986560700217,
-0.0435753208876368,
0.2980873905253021,
-0.4868556647110525,
0.41534246513562734,
... | {
"n_parameters": 22,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 18 |
e776e7ca61722eeb2742e447edcfe87e | 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": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [51, 115], "expectation_value": -11.725458731613575, "params": null, "bitstrings": ["11001100", "10001100"], "total_optimization_steps": 47, "probabilities": [0.002725986084030044, 0.997272149847847], "optimization_time": 51.33567786216736} | -0.25 * (Z(0) @ Z(5)) + -1.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(5)) + -1.25 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + 1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -2.25 * Z(5) + -0.25 * Z(0) + 3.0 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["10001100", "11111100"], "largest_eigenvalue": 20.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.034122336178231724) q[0];
h q[1];
ry(0.8302250352322847) q[1];
h q[2];
ry(0.8302250352322847) q[2];
h q[3];
ry(0.8302250352322847) q[3];
ry(-0.018743600585612252) q[4];
rz(-pi) q[4];
ry(-0.010377398900047474) q[5];
rz(-pi) q[5];
h q[6];
ry(1.66339586... | 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(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIZIIIIZ",
"IZZIIIII",
"IZIIIIIZ",
"IIZIIZII",
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIZZIIII",
"IZIZIIII",
"IIIZIIZI",
"ZIIIIIIZ",
"ZZIIIIII",
"IIZIIIII",
"IIIIIIIZ",
"IZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"ZIIIIIII"
] | [
-0.25,
-1.25,
-0.5,
-1.25,
-1.25,
-0.5,
-1.75,
-0.5,
-1.25,
-1.25,
1,
-1,
-2.25,
-0.25,
3,
0.5,
2.75,
-0.75,
-3,
0
] | 0.996088 | [
1.6633958676674003,
1.6604500704645695,
1.5726364930700092,
-1.5381559222144467,
-1.4640852504813424,
-1.5109462333724724,
-0.17593495145588436,
-0.09894538904475342,
-0.13352548151736307,
0.04487367811379654,
-0.07630612422321119,
0.00679707587567183,
0.025077255090628234,
-0.146377886311... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -11.75,
"target_ratio": 0.97,
"target_value": -11.397499999999999
} | 1 |
8f21ca6a42f39e8feac9b6bc02479d2e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"weight": 17, "source": 2, "target": 6}, {"... | {"states": [222, 94], "expectation_value": -9.26884017610577, "params": [[-0.053500000000000006], [0.07440000000000001]], "bitstrings": ["00100001", "10100001"], "total_optimization_steps": 10, "probabilities": [0.007549682151332261, 0.008476004487466472], "optimization_time": 1.7266829013824463} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.0 * Z(3) + 10.5 * Z(2) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["10100001"], "largest_eigenvalue": 130.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.05453820477267077) q[0];
cx q[1], q[0];
rz(0.7671305858021964) q[0];
rx(0.6589476253562743) q[0];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.05453820477267077) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.05453820477267077) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
10,
0,
14,
10.5,
12.5,
15.5,
12.5,
7.5
] | 0.970748 | [
-0.05453820477267077,
-1.6138001937906719,
0.7671305858021962,
-1.1113850361936988,
0.560266999917792,
-1.4467304876862626,
-1.7781431021082255,
0.7419717518279245,
0.6589476253562743,
-0.013301907025763102,
0.10284957976313622,
-0.6549559357199661,
0.7218159966723807,
-0.18542254943082181... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 59 |
79d3baa57f55efbf39bb649ed9c5379a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 16, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -27.64070588863312, "params": [[0.031400000000000004, -0.012400000000000001, 0.0086], [-0.0855, -0.046, -0.0597]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.006981815500774497, 0.008427209027202854], "optimization_time": 6.0... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 172.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.06019536858721394) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.06019536858721394) q[2];
cx q[1], q[2];
h q[3];
cx q[0], q[3];
rz(-0.06019536858721394) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.06019536858721394) q[2];
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": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIIIZI",
"IZIIIIZII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIZIII",
"IIIIIIZII",
"IIIZIIIII",
"IIIIZIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
16,
8.5,
12.5,
21,
11,
0,
6,
20,
9.5
] | 0.972463 | [
-0.06019536858721394,
1.6523756648212227,
-0.7108216982792479,
0.8814284358268444,
0.9909462680142944,
0.5433054171169999,
-0.8478987691488098,
-0.5280476496996057,
1.5778479215622883,
-0.8229545194401827,
-0.37766698167741486,
0.08371241546081379,
0.4165477723081761,
-0.5491489945232563,
... | {
"n_parameters": 41,
"n_qubits": 9,
"optimal_eigenvalue": -79,
"target_ratio": 0.97,
"target_value": -76.63
} | 81 |
9a3a3414616c79e03b68e777bcdd167d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [31, 3871], "expectation_value": -16.248849986908255, "params": null, "bitstrings": ["111111100000", "000011100000"], "total_optimization_steps": 100, "probabilities": [0.06822369870772355, 0.5331587642162099], "optimization_time": 221.75178003311157} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(11) @ Z(8)) + -2.5 * (Z(11) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(11)) + 0.5 * (Z(10) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-21.5, -21.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.5, "smallest_bitstrings": ["000010000000", "000011100000"], "largest_eigenvalue": 20.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-2.7059197056501088) q[0];
rz(0.6705925958397467) q[0];
ry(-0.2983950090605407) q[1];
rz(-0.782067219925759) q[1];
cx q[1], q[0];
ry(-0.09877066103219537) q[1];
rz(-0.21641383901910186) q[1];
ry(-0.17546311135116924) q[2];
rz(1.2478121654705001) q[2];
ry(3.117382607... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[7], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZIIZ",
"IIIIIIIIZZII",
"IIIIIIZZIIII",
"IIIIIZZIIIII",
"IIIZZIIIIIII",
"ZIIZIIIIIIII",
"ZIIIZIIIIIII",
"IIZIZIIIIIII",
"ZIZIIIIIIIII",
"IZIIZIIIIIII",
"ZZIIIIIIIIII",
"IZZIIIIIIIII",
"IIIIIIIIIIZI",
"IIIIIIIII... | [
-2,
-2,
0.5,
-2,
0.5,
-1.5,
0.5,
-1.5,
-1.5,
0.5,
-2.5,
0.5,
-2,
0.5,
-2,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
1,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.971261 | [
-2.7059197056501088,
0.6705925958397467,
-0.2983950090605407,
-0.782067219925759,
-0.17546311135116924,
1.2478121654705001,
3.1173826077478917,
-1.3580980626198436,
0.08229142787605355,
1.9911028461015787,
-0.03494623706655002,
0.24286481131163432,
0.49601503451113355,
0.9175346163789286,
... | {
"n_parameters": 38,
"n_qubits": 12,
"optimal_eigenvalue": -21.5,
"target_ratio": 0.97,
"target_value": -20.855
} | 11 |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [5, 10], "expectation_value": -0.40023232144506704, "params": [[0.0524, 0.019100000000000002, 0.0536, 0.08080000000000001], [-0.0623, -0.0106, -0.0216, -0.0558]], "bitstrings": ["11010", "10101"], "total_optimization_steps": 10, "probabilities": [0.039525079950370995, 0.04171095098567178], "optimization_time... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.6706529503752435) q[0];
h q[1];
ry(1.4146339409758935) q[1];
h q[2];
ry(-0.5581047246583587) q[2];
h q[3];
cx q[3], q[0];
ry(0.6706529503752435) q[0];
cx q[3], q[0];
ry(-0.44205081723318096) q[0];
ry(0.9054299760275487) q[3];
rz(-pi) q[4];
ry(-0.0725877717... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"ZIIIZ",
"ZZIII",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-1,
-1,
0
] | 0.991225 | [
-1.6704548362417395,
-1.341305900750487,
1.4146339409758935,
0.973194262912994,
-1.1162094493167174,
0.6844911620078096,
-0.48532124205514987,
0.5740763702252564,
0.27498873776268346,
-0.23622283509959657,
0.44187762803947833,
-0.4116559642671688,
0.5069271119789323,
-0.18155338475627356,
... | {
"n_parameters": 21,
"n_qubits": 6,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 1 |
73d533dc900ade1f39f82d1daf03a1c8 | 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": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -4.511482365295422, "params": [[0.16140000000000002, 0.15180000000000002], [-0.16720000000000002, -0.1535]], "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 20, "probabilities": [0.05292108593217239, 0.06570290479609464], "optimization_time": 2.9885993003845215... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"], "largest_eigenvalue": 11.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6453148803699713) q[0];
h q[1];
ry(-1.2906297607399426) q[1];
h q[2];
ry(0.20763618927947922) q[2];
h q[3];
ry(1.5707963228051525) q[3];
h q[4];
ry(-1.2906297607399426) q[4];
h q[5];
cx q[5], q[2];
ry(-0.20763618927947922) q[2];
cx q[5], q[2];
ry(-0.212059... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} | [
"IIIIIZZ",
"IIZIIZI",
"IIZIIIZ",
"IIIIZZI",
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIIZIZI",
"ZIIIIIZ",
"ZIZIIII",
"ZZIIIII",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"IIIZIII",
"ZIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-0.5,
-0.5,
-0.5,
-0.75,
-1,
1.75,
-0.25,
-0.25,
-0.75,
-2.75,
-0.25,
-1,
1.25,
0.5,
1.75,
0.5
] | 0.93217 | [
-1.2906297607399426,
0.9633644251176647,
-0.8643128177065958,
1.5707963228051525,
0.6074318337665492,
-0.061168553258004583,
0.41527237855895843,
-0.42411995153383697,
-9.531955346250186e-9,
-1.2449153971741117e-7,
0.8307106868012877,
0.9070901524241489,
1.6098834234627052e-7,
0.0210102808... | {
"n_parameters": 19,
"n_qubits": 7,
"optimal_eigenvalue": -10.75,
"target_ratio": 0.97,
"target_value": -10.4275
} | 432 |
93141c357d164fcf2a36ba666f8f01e3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -1.3582078607442578, "params": [[-0.0526], [0.0603]], "bitstrings": ["1110", "0111"], "total_optimization_steps": 10, "probabilities": [0.07088982198398536, 0.07088982198398536], "optimization_time": 2.159710645675659} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"], "largest_eigenvalue": 29.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"ZZII",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
1.75,
1.75,
1.75,
1.75,
2,
1.75,
-4.75,
-4.5,
-4.75,
-4.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
d169c5da5d5c0560bca8ce29d1fd4dde | 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": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [1024, 1023], "expectation_value": -17.39006179412825, "params": [[[-0.275, -0.2258], [0.0055000000000000005, -0.41240000000000004], [0.0019, 0.0046], [0.0024000000000000002, -0.0047], [0.0029000000000000002, -0.0021000000000000003], [0.004200000000000001, -0.002], [0.0018000000000000002, -0.0023], [0.0022, ... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * (Z(8) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + -1.25 * (Z(7) @ Z(8)) + 0.75 * (Z(2) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["10000000000", "11000000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.024348679201563722) q[0];
ry(0.026420438141745974) q[1];
ry(-0.04769796934941719) q[2];
ry(0.03969090413509302) q[3];
ry(-0.0587952683682091) q[4];
ry(0.08689790348039848) q[5];
ry(0.06359312683799732) q[6];
ry(-0.07721855091354282) q[7];
ry(0.1306060196630152) 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": 10} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZIIIZI",
"IIIIIIIZIZI",
"IIIIZIIIIZI",
"IIIIZZIIIII",
"IIIIZIIZIII",
"IIIIIZZIIII",
"IIIIIIZZIII",
"IIIIZIZIIII",
"IIZIIIZIIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIIIIIIIZIZ",
"IIZIIIIIZII",
"IZZIIIIIIII",
"IZIZIIIIIII",
"ZIIIIIIIIZI",
"ZIIIIZIII... | [
-0.5,
-0.5,
-0.5,
-0.25,
-1.75,
-0.5,
-0.5,
-0.5,
-0.25,
-1.25,
-2,
-2,
-1.25,
0.75,
-1,
-0.75,
-1.25,
-1.25,
-0.25,
-0.25,
-1.25,
-2,
-0.25,
-1,
0.25,
0.25,
0.25,
-1.25,
-1,
-0.25,
2,
3
] | 0.971273 | [
-0.024348679201563722,
0.026420438141745974,
-0.04769796934941719,
0.03969090413509302,
-0.0587952683682091,
0.08689790348039848,
0.06359312683799732,
-0.07721855091354282,
0.1306060196630152,
0.4463332055754763,
0.1813085280396305,
-0.11296184679536087,
-0.641656787491492,
-0.048959261520... | {
"n_parameters": 69,
"n_qubits": 11,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 43 |
ef6a3641e33c22d9c10da419071a1813 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"s... | {"states": [8177, 8176], "expectation_value": -21.443773998080676, "params": [[[0.0028, -3.1395], [0.0033, -0.003], [0.003, 0.0031000000000000003], [0.0033, -0.003], [0.0022, 0.0029000000000000002], [0.0023, 0.0018000000000000002], [0.0021000000000000003, 0.002], [0.0019, 0.0019], [0.0024000000000000002, 0.0023], [0.43... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(11)) + 1.0... | 15 | 13 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0000000001111"], "largest_eigenvalue": 34.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.07132486146343593) q[0];
ry(-0.21914148567899655) q[1];
ry(-0.1731109445132766) q[2];
ry(-0.21914148567899655) q[3];
ry(0.04839952764538197) q[4];
ry(-0.021282811488567397) q[5];
ry(0.13766612366624958) q[6];
ry(-0.03392933446320902) q[7];
ry(-0.045575938118047145... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIZZ",
"IIIIIIIIZIIZI",
"IIIIIIIIZIIIZ",
"IIIIIIIIIIZIZ",
"IIIIIIIIZIZII",
"IIIIIIIIZZIII",
"IIIIIIIIIZZII",
"IIIIIIZZIIIII",
"IIIIZIZIIIIII",
"IIIIZIIZIIIII",
"IIIIIZZIIIIII",
"IIIIIZIZIIIII",
"IIIIZZIIIIIII",
"IZIZIIIIIIIII",
"ZZIIIIIIIIIII",
"ZIIZIIIIIIIII",
"IZZIIIIIIII... | [
-1.5,
0.5,
-2,
0.5,
-2,
0.5,
-1.5,
-1.5,
-2,
-2,
0.5,
0.5,
-2,
1,
1,
1,
-2.5,
-2.5,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-2,
-2,
2
] | 0.971015 | [
0.07132486146343593,
-0.21914148567899655,
-0.1731109445132766,
0.04839952764538197,
-0.021282811488567397,
0.13766612366624958,
-0.03392933446320902,
-0.045575938118047145,
-0.0503571301368694,
-0.16514378556699746,
2.939861214856008,
0.11006944454076514,
-3.201944024640584,
-0.1025506284... | {
"n_parameters": 22,
"n_qubits": 13,
"optimal_eigenvalue": -25,
"target_ratio": 0.97,
"target_value": -24.25
} | 61 |
76737535afa2aaaeafd5ce3e28d909c7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [309, 341], "expectation_value": -65.0360983155546, "params": [1.6482, 1.5161, 0.1562, 0.17120000000000002, 1.0307, 0.6542, 1.7906000000000002, 0.44370000000000004, 1.5765, 1.5732000000000002, 0.17020000000000002, -0.1292, 1.5684, 1.5675000000000001, 0.0131, -0.0151, 1.556, 1.5807, 1.1615, 0.3903000000000000... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 3.0 * Z(0) + 4.0 * Z(1) + 1.5 * Z(3) + -0.5 * Z(2) + 8.5 * Z(4) + -3.0 * Z(5) + 8.5 * Z(8) + 2.0 * Z(7) + 16.0 * Z(6) | 14 | 9 | 1 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["010101010"], "largest_eigenvalue": 96.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(1.5409912054744308) q[0];
rz(pi/2) q[0];
ry(0.17715179055130867) q[1];
ry(1.911316802812124) q[2];
ry(2.1822865579703237) q[3];
ry(1.4615322709113576) q[4];
ry(0.06643559110202192) q[5];
ry(1.5585247969334513) q[6];
ry(-0.03314585065528486) q[7];
ry(1.42688255794573)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIZZIII",
"IIIZZIIII",
"ZZIIIIIII",
"IIZIIIIZI",
"ZIZIIIIII",
"IZZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIIIZII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IZIIIIIII",
"IIZIIIIII"
] | [
7,
7,
7,
7,
7,
7,
7,
7,
3,
4,
1.5,
-0.5,
8.5,
-3,
8.5,
2,
16
] | 0.971886 | [
1.5409912054744308,
0.17715179055130867,
1.911316802812124,
2.1822865579703237,
1.4615322709113576,
0.06643559110202192,
1.5585247969334513,
-0.03314585065528486,
1.42688255794573,
1.355595624934993,
-1.505815812946339,
-0.019805853033967633,
1.851974081010723,
0.38007690838747066,
2.459... | {
"n_parameters": 36,
"n_qubits": 9,
"optimal_eigenvalue": -73,
"target_ratio": 0.97,
"target_value": -70.81
} | 21 |
82f2332f741b5ec7aa4bb36843cd0c9a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [348, 350], "expectation_value": -1.557308140308858, "params": [0.7648, -0.2318, 0.4423, -0.28750000000000003, 0.7863, -0.0926, 0.1212, 0.3326, 0.8029000000000001, -0.002, 0.7982, 0.0059, 0.7973, 0.17220000000000002, 0.7913, 0.5139, 0.3791, 0.4742, 0.7591, -0.2558, 0.4349, -0.3055, 0.7856000000000001, -0.153... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.... | 18 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "001100010", "010100001"], "largest_eigenvalue": 5.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-2.9403241929083443) q[0];
rz(-pi) q[0];
ry(-0.01720215763442262) q[1];
rz(-pi) q[1];
h q[2];
ry(1.3821290800872883) q[2];
cx q[2], q[1];
ry(0.0694860038996782) q[1];
cx q[2], q[1];
ry(0.05613383548624982) q[2];
ry(0.05850050848206348) q[1];
h q[3];
ry(-1.53601897824... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIZZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIIZZIIZ",
"IIIZIZIII",
"IIIIZIIZI",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IZZIIIIII",
"IIZIZIIZI",
"IZIIZIIZI",
"IZZIIIIZI",
"IZZIZIIII",
"IZZIZIIZI",
"IIIZIIZII",
"... | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0,
0.125,
0.125,
-0.25,
... | 0.996279 | [
-1.536018978243284,
-1.632424008860247,
-1.484108165260796,
1.351841337460216,
1.3821290800872883,
-0.1389720077993564,
-0.025202427947681655,
0.11226767097249964,
0.06281983496563942,
0.009137857048212211,
0.11700101696412696,
0.06302910739104162,
0.030614649874232056,
0.05044832124532061... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
-6334580201675431447 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 5], [1, 5], [3, 7], [2, 5], [9, 3], [2, 7], [9, 6], [0, 3], [1, 4], [0, 4], [5, 7], [1, 7], [9, 5], [9, 2], [6, 7], [8, 5], [1, 9], [3, 5]]} | {"states": [565, 533], "expectation_value": -2.027330623980409, "params": [1.0577, -0.0267, 1.0615, 0.008, 0.5108, 0.35800000000000004, 0.5008, 0.0015, 0.49920000000000003, 0.3624, 0.4883, 0.006500000000000001, 0.5302, 0.3663, 0.5022, 0.004200000000000001, 1.056, -0.2932, 0.9519000000000001, 0.0032, 1.0643, 0.1855, 1.0... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1000010101", "0111101010"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(1.5672548149955072) q[0];
rz(0.15215055836965874) q[0];
rx(-0.01982156757438199) q[1];
rz(0.25732790413924) q[1];
rx(-0.10552913983231059) q[2];
rz(1.5214199444097325) q[2];
rx(-0.10589188849072906) q[3];
rz(1.576342793451964) q[3];
rx(0.024336233394867256) 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": []} | [
"IIIIZZIIII",
"IIIIZIIIZI",
"IIIIIZIIZI",
"IIIIZIZIII",
"IIZIZIIIII",
"IIZIIIIIZI",
"IIZIIIZIII",
"IIIIZIIZII",
"IIZIIIIZII",
"ZIIIZIIIII",
"ZIIIIIIIZI",
"ZIIIIIZIII",
"ZIIIIIIZII",
"IIZZIIIIII",
"ZIIZIIIIII",
"IIIIIZIIIZ",
"IIIIIIZIIZ",
"IZIIZIIIII",
"IIIIZIIIII",
"IIIIIZIIII"... | [
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,
0
] | 0.975486 | [
1.5672548149955072,
0.13346277078224872,
-0.019821567574381995,
0.14963445612940307,
-0.1055291398323106,
1.169414156200063,
-0.10589188849072907,
1.2916512861049874,
0.024336233394867252,
-0.9613964789240541,
1.3297754782038362,
0.18976815166319877,
-0.5552543283622304,
0.2184097131080318... | {
"n_parameters": 48,
"n_qubits": 10,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 66 |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [9, 52], "expectation_value": -0.774528541113296, "params": [[0.0623, 0.0719, 0.07690000000000001], [-0.0422, -0.062400000000000004, -0.0684]], "bitstrings": ["110110", "001011"], "total_optimization_steps": 10, "probabilities": [0.02590112423090214, 0.026761883949031236], "optimization_time": 4.253784894943... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3247553284692968) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.3247553284692968) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.3247553284692968) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3247553284692968) q[3];
cx q[2], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"ZIIIIZ",
"IIIZZI",
"ZIIIZI",
"IIZZII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-0.5,
-1,
-0.5,
-0.5
] | 0.974813 | [
0.3247553284692968,
-1.3219445212436283,
-0.42592128972119486,
-1.3026339243679061,
-0.9080909678550849,
-1.1188009159857968,
0.06199065936474893,
-1.7911626886341159,
0.15201918715687204,
0.008349512126035533,
-0.1740273346787747,
-0.13593270342756683,
0.4345867108068353,
-0.2043119716458... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -63,
"target_ratio": 0.97,
"target_value": -61.11
} | 68 |
0b4befd1b6021b98538c021e6b01d7d2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {... | {"states": [218, 122], "expectation_value": -6.956780316506979, "params": [[0.014700000000000001, 0.022000000000000002, -0.038900000000000004], [-0.0229, -0.0361, 0.0054]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.005689936823964795, 0.006402174126870184], "optimizatio... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 9.0 * Z(0) + 6.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"], "largest_eigenvalue": 135.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.01397968868372599) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.01397968868372599) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.01397968868372599) q[2];
cx q[0], q[2];
rz(1.49705474763927) q[2];
rx(-0.4289462383307536) q[2];
h q[3];
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",
"IIIIZIIZ",
"IIIZIIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
9,
6.5,
13.5,
18,
5.5,
16,
1.5
] | 0.970109 | [
0.01397968868372599,
0.5085249205910766,
-1.5267868634678496,
1.4970547476392697,
1.2949275225586785,
-1.1149933922168591,
0.9054003815470787,
-0.49552292257893105,
-0.4289462383307536,
0.0177838660194501,
1.054237269205935,
0.14538943434979795,
0.4013926854345311,
0.14512282522157288,
-... | {
"n_parameters": 27,
"n_qubits": 8,
"optimal_eigenvalue": -71.5,
"target_ratio": 0.97,
"target_value": -69.355
} | 55 |
c4fd4922d2c165ab37a0955c733d543f | 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": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -20.89132914336887, "params": [[0.033100000000000004, 0.0082], [-0.0818, -0.0723]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.012354244585450962, 0.01309545211192812], "optimization_time": 3.06709885597229} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 141.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.029810180010720243) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.029810180010720243) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.029810180010720243) q[2];
cx q[0], q[2];
rz(-0.06686179152681927) q[0];
rx(1.6059265917078847e-08) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIZZIII",
"IIZZIIII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIZIIII",
"ZIIIIIZI",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"IIIIZIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
16.5,
3,
18,
12.5,
2.5,
9.5,
12.5,
15
] | 0.923664 | [
-0.029810180010720243,
0.7336274290211755,
-0.06686179152681929,
0.16955226673052048,
1.2441031931681117,
-0.7612827673018912,
0.853920074668443,
2.7115183994821614,
1.6059262359189638e-8,
0.029810161797917772,
0.837168872182548,
-1.5039345290864283,
1.4012440334331926,
0.32669311339272855... | {
"n_parameters": 18,
"n_qubits": 8,
"optimal_eigenvalue": -65.5,
"target_ratio": 0.97,
"target_value": -63.535
} | 418 |
f6494d29a2885917ea72724ca31dc87e | 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": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -18.091289595969965, "params": [0.0004, -0.2122, -0.0049, -0.218, 0.0009000000000000001, -0.1937, -0.0034000000000000002, -0.2275, -0.0011, -0.2268, -0.0035, -0.225, -0.0022, -0.21860000000000002, -0.0035, -0.22160000000000002, 0.0001, -0.222, -0.0045000000000000005, -0.2316, -0.... | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"], "largest_eigenvalue": 20.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.10189812843066029) q[0];
rz(-0.15089983411608365) q[0];
rx(0.012949681207840832) q[1];
rz(-0.3863298561993709) q[1];
rx(-0.2249217523066944) q[2];
rz(-0.07319496732861097) q[2];
rx(0.06993357002108799) q[3];
rz(-0.2465905830606978) q[3];
rx(0.08546781518194248) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"IZZIIIIII",
"IZIIIIIIZ",
"ZIZIIIIII",
"ZIIIIIIIZ",
"IIZIIIIZI",
"IZIIIIIZI",
"IIZZIIIII",
"IZIZIIIII",
"IIIZIIIZI",
"IZIIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIZIIZII",
"IIZIIZIII",
"IZIIIZIII",
"IIIIIZIZI",
"IIIIIZZII",
"IZIIZIIII",
"IIIIZIIZI",
"IIIIZZIII",
"... | [
-0.75,
-1.25,
-0.5,
-0.25,
1.5,
-0.75,
-1,
-0.75,
-0.5,
-0.25,
-0.5,
-0.5,
-1.25,
-1,
-1.25,
-2,
-1.25,
-0.75,
-0.25,
-1,
-2,
0,
-0.25,
1.5,
0.75,
-5,
1,
1.5,
-0.75,
1.25
] | 0.979947 | [
-0.10189812843066029,
-0.20692645873723892,
0.012949681207840832,
-0.3047185877811311,
-0.22492175230669437,
-0.05003070120281442,
0.06993357002108799,
-0.26060474940613737,
0.08546781518194248,
-0.4558542881777824,
0.3664614763165901,
-0.49251998763677596,
-0.20127128571451497,
-0.1535688... | {
"n_parameters": 116,
"n_qubits": 9,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 7 |
0ae9b6f2b61290137ab22e2dafb0c164 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target"... | {"states": [27869, 28011], "expectation_value": -6.937631977083832, "params": [[0.339], [-0.3604]], "bitstrings": ["001001100100010", "001001010010100"], "total_optimization_steps": 40, "probabilities": [0.0010568405906723232, 0.0010568405906723232], "optimization_time": 51.67153882980347} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-10.249999999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999932, "smallest_bitstrings": ["001001010010100"], "largest_eigenvalue": 30.750000000000085} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIZZI",
"IIIIIIIIIIIIZIZ",
"IIIIIIIIZIIIIIZ",
"IIIIIIIZIIIIIZI",
"IIIIIIIZZIIIIII",
"IIIIIIZIIIIIZII",
"IIIIIIZIZIIIIII",
"IIIIIIZZIIIIIII",
"IIIIIZIIIIIIIIZ",
"IIIIZIIIIIIIIZI",
"IIIIZZIIIIIIIII",
"IIIZIIIIIIIIZII",
"IIIZIZIIIIIIIII",
"IIIZZIIIIIIIIII",
"... | [
0.5,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.5,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.5,
0.5,
0.25,
0.25,
0.25,
0.25,
0.25,
0.25,
0.5,
0.25,
0.25,
0.25,
0.5,
0.5,
1.25,
1.25,
1.25,
1.25,
1.25,
1.2... | 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 |
-5202120641553055269 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [0, 7], [3, 5], [0, 6], [1, 7], [8, 5], [2, 4], [1, 4], [1, 2]]} | {"states": [408, 433], "expectation_value": -0.09359516700519628, "params": [[-0.0721], [0.0736]], "bitstrings": ["001100111", "001001110"], "total_optimization_steps": 10, "probabilities": [0.0022513341505177326, 0.0022513341505177326], "optimization_time": 2.2192153930664062} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["001100111", "110110001", "001001110", "110001000", "001110111", "110100001", "001011110", "110011000"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7214085740124762) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.7214085740124762) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[2], q[4];
rz(-0.7214085740124762) q[4];
cx q[2], q[4];
rz(8.046129984506933e-09) q[2];
rx(0.7313868978503... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(x0) q[7];
cx q[0], q[7];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IZIIIIIIZ",
"IIIZIZIII",
"IIZIIIIIZ",
"IIIIIIZZI",
"IZIIIIIZI",
"ZIIZIIIII",
"IIIIZIZII",
"IIIIZIIZI",
"IIIIIIZII",
"IIIIIIIIZ",
"IZIIIIIII",
"IIIZIIIII",
"IIIIIZIII",
"IIZIIIIII",
"IIIIIIIZI",
"ZIIIIIIII",
"IIIIZIIII"
] | [
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
] | 0.53256 | [
-0.7214085740124762,
8.04612970472749e-9,
0.7313868978503733
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 94 |
c673179f0ef5bc5695b0f04bad545ea2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [126, 110], "expectation_value": -105.10689944312736, "params": [0.0025, -0.0198, -0.0036000000000000003, 0.0004, 0.1404, 0.1341, 0.7585000000000001, 0.7588, 0.8233, 0.5716, 0.6068, 0.4264, 0.8838, 0.7632, 0.7286, 0.8371000000000001, 0.6082000000000001, 0.5489, 0.09330000000000001, 0.08990000000000001, -0.00... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 13.5 * Z(3) ... | 14 | 10 | 2 | {"smallest_eigenvalues": [-119.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.5, "smallest_bitstrings": ["1110010001"], "largest_eigenvalue": 260.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(-0.0924319596262714) q[0];
rz(pi/2) q[0];
ry(0.11915360720481774) q[1];
ry(0.14205852422594284) q[2];
ry(0.5841630894474765) q[3];
ry(0.8447824729541243) q[4];
ry(0.9534318241855029) q[5];
ry(1.2616495002961017) q[6];
ry(0.9009222624227555) q[7];
ry(0.71012742950145... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIZIZIIII",
"IIIZZIIIII",
"ZIIZIIIIII",
"IIZIIIIZII",
"IIZIIZIIII",
"ZIZIIIIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"ZZIIIIIIII",
"IZZIIIIIII",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIIZIIIIII",
"ZIIIIIIIII"... | [
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
7.5,
13.5,
12,
20.5,
18,
14.5,
10.5,
23,
20.5,
-11.5,
-11.5
] | 0.973865 | [
-0.0924319596262714,
0.11915360720481774,
0.14205852422594284,
0.5841630894474765,
0.8447824729541243,
0.9534318241855029,
1.2616495002961017,
0.9009222624227555,
0.7101274295014564,
-0.07443585098640493,
-0.23453939617676461,
-0.3597852640010355,
-0.17300239753153485,
0.024726550896655673... | {
"n_parameters": 80,
"n_qubits": 10,
"optimal_eigenvalue": -119.5,
"target_ratio": 0.97,
"target_value": -115.91499999999999
} | 24 |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.11351165029031098, "params": [[[0.758, -0.0328], [0.7598, -0.0327], [0.7572, -0.033100000000000004], [0.7894, -0.0013000000000000002], [0.7942, 0.001], [0.7876000000000001, 0.0006000000000000001]], [[0.7558, 0.0002], [0.7564000000000001, 0.0098], [0.7542, 0.0048000000000000004... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"], "largest_eigenvalue": 31.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rz(2.135653907332281) q[0];
ry(0.07785783286395775) q[0];
rz(-2.461338086738153) q[0];
rz(2.429152376567284) q[1];
ry(0.2252425377262643) q[1];
rz(-1.0510731615663547) q[1];
rz(-1.956988573421869) q[2];
ry(0.14605112814072668) q[2];
rz(0.30051180833493296) q[2];
rz(-3.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
1.75,
1.75,
1.75,
2,
1.75,
2,
1.75,
2,
2,
2,
2,
2,
1.75,
2,
2,
-0.75,
-0.75,
-0.75,
-0.25,
-0.25,
-0.25
] | 0.977057 | [
0.23599177523086315,
-0.24128829019517117,
0.08672641127394859,
0.5641813210321281,
0.02724449539707903,
-0.3809606943817887,
0.9600172844814231,
0.10376398558997606,
0.9072997747415072,
-0.031882398092854744,
0.9283660285539568,
-0.18778968286556685,
-0.0006073131649154268,
-0.03282407204... | {
"n_parameters": 30,
"n_qubits": 6,
"optimal_eigenvalue": -7.5,
"target_ratio": 0.97,
"target_value": -7.2749999999999995
} | 26 |
833c89e8aca800e5707fb47ea63f9088 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2710, 1386], "expectation_value": -1.5152453009136417, "params": [[[3.1393, 0.0089], [3.1397, 0.0038], [3.1389, 0.0053], [-3.1385, 0.009300000000000001], [3.1393, 0.0009000000000000001], [0.0029000000000000002, 0.0083], [3.1389, 0.008700000000000001], [3.1461, 0.008], [3.1393, 0.0078000000000000005], [-1.61... | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.0017499999999999998 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.0017499999999999998 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.5205000000000006, -1.5205000000000006], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5095000000000005, "smallest_bitstrings": ["010101101010", "101010010101"], "largest_eigenvalue": 1.5195000000000007} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rx(-0.06213685427517941) q[0];
rz(0.3900229257122323) q[0];
rx(-0.05273946885872852) q[1];
rz(0.8212831248228313) q[1];
rx(1.5337574379224534) q[2];
rz(0.18090279389762448) q[2];
rx(-0.062136854275179405) q[3];
rz(-0.7491475642969406) q[3];
rx(-0.062136854275179405) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.0017499999999999998,
-0.0017499999999999998,
0.25,
0.00025000000000000006,
-0.0017499999999999998,
0.00025000000000000006,
-0.0017499999999999998,
0.25,
0.00075,
-0.00024999999999999995,
0.00075,
0.00075,
-0.00024999999999999995,
0.00075,
0.25,
0.00025000000000000006,
0.00... | 0.980175 | [
-0.062136854275179405,
0.5639668344247326,
-0.05273946885872852,
0.8212831248228313,
1.5337574379224534,
0.18090279389762448,
-0.7491475642969406,
0.5294660297481446,
-0.3478878174250011,
0.3529348580960014,
-0.022087508376134993,
-0.4435758830602262,
-0.5770407396054762,
-0.16077012495042... | {
"n_parameters": 24,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 6 |
4470548889613645636 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [0, 3, 4, 5, 8], [1, 5], [6, 7], [8, 0, 1, 7], [0, 1, 3, 7], [8, 1, 0, 6], [8, 3, 7], [0, 2, 5, 6]]} | {"states": [363, 331], "expectation_value": -2.017622711151615, "params": [1.1046, 0.0001, 1.097, 0.0079, 0.6714, 0.0, 0.5033, 0.0047, 1.0985, 0.0, 1.1007, 0.0032, 1.0902, -0.0073, 1.0116, 0.0077, 1.0922, -0.0066, 0.8663000000000001, 0.0068000000000000005, 1.0988, -0.0014, 1.0988, 0.0023, 1.0945, -0.0004, 0.5389, 0.001... | 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.8666666666666676], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8666666666666667, "smallest_bitstrings": ["010110100"], "largest_eigenvalue": 7.500000000000002} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(1.6426533429996364) q[0];
rz(1.6357291003184855) q[0];
rx(0.11743142948579124) q[1];
rz(1.4993132843621506) q[1];
rx(1.806696275141015) q[2];
rz(1.4993132843621506) q[2];
rx(0.6814469275331164) q[3];
rz(1.3219365049591287) q[3];
rx(0.7730569310234457) q[4];
rz(1.2735... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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",
"IIIIIIZIZ",
"IIIIIIIZZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIIZZIII",
"IIIZIIZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIZIII",
"IIIZZIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"ZIIIZIIII",
"ZIIZIIIII",
"IIZIIIZII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZZIIIII",
"... | [
0.5,
0.08333333333333333,
0.25,
0.08333333333333333,
0.13333333333333333,
0.05,
0.05,
0.08333333333333333,
0.5,
0.13333333333333333,
0.05,
0.05,
0.16666666666666666,
0.21666666666666667,
0.21666666666666667,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.16666666666666... | 0.975514 | [
1.6426533429996364,
0.06493277352358924,
0.11743142948579123,
-0.07148304243274556,
1.806696275141015,
0.6814469275331165,
-0.2488598218357677,
0.7730569310234457,
-0.2972251542735067,
1.5376231343874935,
-0.03728350361878443,
0.14573868716798055,
-0.4111593601419882,
1.4319078259211677,
... | {
"n_parameters": 43,
"n_qubits": 9,
"optimal_eigenvalue": -2.8666666666666676,
"target_ratio": 0.97,
"target_value": -2.7806666666666673
} | 97 |
ecdfa6719727c874685bdf2e4be77fdf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [221, 218], "expectation_value": -16.329254315021565, "params": [[0.0443, 0.012100000000000001], [-0.0721, -0.056900000000000006]], "bitstrings": ["100100010", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006662250260876345, 0.007973772619654288], "optimization_time": 5.789270639419556} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100101"], "largest_eigenvalue": 142.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.1600009174123589) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(-0.1600009174123589) q[2];
cx q[0], q[2];
rz(-0.7719264209641086) q[0];
rx(-0.132126651824934) q[0];
h q[3];
cx q[2], q[3];
rz(-0.1600009174123589) q[3];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZZII",
"IIIIZIZII",
"IIIIZZIII",
"IIIZIZIII",
"IIIZZIIII",
"IIZIZIIII",
"IIZZIIIII",
"IZIIIIIZI",
"IZZIIIIII",
"ZIIIIIIZI",
"ZZIIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
4.5,
13,
4,
10.5,
5,
16.5,
11.5,
8,
10.5,
4.5
] | 0.95037 | [
-0.1600009174123589,
0.8135875551295041,
-0.7719264209641092,
0.3112642997869111,
-1.1107828918886062,
-0.0035859949432012327,
0.25353739314454043,
-1.4782590457539677,
-0.13212665182493402,
0.04029037999209201,
0.9336532585928261,
-0.45999796928967995,
1.4560523182964364,
-0.1298961412366... | {
"n_parameters": 27,
"n_qubits": 9,
"optimal_eigenvalue": -72,
"target_ratio": 0.97,
"target_value": -69.84
} | 500 |
e7056fbb187e68baa5d05b0b9cb6a901 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 49], "expectation_value": -3.996464044050928, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 25, "probabilities": [0.06634810230025402, 0.9303665171785014], "optimization_time": 24.955415964126587} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "001110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.3483964545021323) q[0];
h q[1];
ry(1.3483964545021323) q[1];
h q[2];
ry(-1.5377717834128013) q[2];
h q[3];
ry(-0.5718354355912505) q[3];
ry(-0.060597795734454125) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[3];
ry(0.5718354355912505) q[3];
cx q[5], q[3];
ry(-0.5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIZIZ",
"IZIZII",
"IZIIIZ",
"IIIZZI",
"IZIIZI",
"ZIIZII",
"ZZIIII",
"ZIZIII",
"IIIZII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"ZIIIII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-0.5,
-1.5,
-0.5,
-1,
0
] | 0.996817 | [
-1.5377717834128013,
-1.4355349010589802,
1.3483964545021323,
-1.143670871182501,
0.7256483222204215,
-0.3397090750168832,
0.4854071333661133,
-0.3806094686092039,
0.2510875381992757,
-0.09032787450619814,
0.08059260300373108,
0.19771184529814245,
-0.14932726000292476,
-0.10015168483220893... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 1 |
4002e7c825d905d476562dd2a4250026 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [116, 85], "expectation_value": -5.499883762775479, "params": null, "bitstrings": ["0001011", "0101010"], "total_optimization_steps": 33, "probabilities": [1.641415669550968e-05, 0.9999151816609215], "optimization_time": 38.887001276016235} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 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(2) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0101010"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-pi) q[0];
ry(-3.118507042708292) q[0];
ry(-0.025378205163912124) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5301870592080595) q[2];
h q[3];
ry(-1.5175118545593271) q[3];
ry(-3.136360018442798) q[4];
rz(-pi) q[4];
cx q[2], q[4];
ry(0.01375238636405611) q[4];
cx q[2], q[4];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIZIIZ",
"IZIZIII",
"IZIIIIZ",
"IZIIIZI",
"IIZZIII",
"IIZIIZI",
"ZIIZIII",
"ZZIIIII",
"ZIIIIZI",
"IIIZZII",
"IIIZIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-1.5,
-1,
-0.5,
-1,
0
] | 0.995154 | [
-1.5175118545593271,
-1.5974341158562466,
-1.4759827115175996,
1.5301870592080595,
1.5793160780119577,
-0.13887082022676997,
-0.02750477272811222,
0.24593010025788947,
0.12738975693667637,
0.06238370915205528,
-0.03190890137464023,
0.0074460703489463344
] | {
"n_parameters": 12,
"n_qubits": 7,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 1 |
3123bcea85dbb97421b820dbe7fe8e55 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [67, 71], "expectation_value": -6.466358352960681, "params": [-0.0091, 0.2758, 0.6084, 0.014, -0.0078000000000000005, 0.3013, -0.0011, 0.35450000000000004, 0.0053, 0.3763, 0.6026, 0.1318, 0.6051000000000001, -0.002, 0.598, -0.0009000000000000001, -0.0118, 0.2756, 0.6097, 0.0449, -0.0132, 0.33180000000000004,... | 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(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10111000"], "largest_eigenvalue": 20.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.019186353676453376) q[0];
rz(0.3113421716760776) q[0];
rx(1.3454516897436566) q[1];
rz(0.1703516113568706) q[1];
rx(-0.04757588363444155) q[2];
rz(0.18633383444954887) q[2];
rx(-0.1988926898057942) q[3];
rz(0.08410028884626541) q[3];
rx(-0.06657753098277562) 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": []} | [
"IIIIZIIZ",
"IIZIIIIZ",
"IZIIZIII",
"IZIIIIIZ",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIZZIII",
"IIZZIIII",
"IZIZIIII",
"ZIIZIIII",
"IIIZIIZI",
"IIIIZZII",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII",
"IIIIIIZI",
"IIIZIII... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1.5,
-1,
-1.5,
-1.5,
-0.5,
-2,
-1.5
] | 0.971524 | [
-0.019186353676453376,
0.06623961089198784,
1.3454516897436566,
0.19525295115928876,
-0.04757588363444156,
0.1365381893757882,
-0.1988926898057942,
0.2621426559017873,
-0.06657753098277562,
0.4102649518862141,
1.0303806841808016,
0.290366967870265,
1.0301256267200896,
0.13420996164625276,
... | {
"n_parameters": 65,
"n_qubits": 8,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 15 |
48bc2fe3cb79b98fee18d505d1ebe59b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [33, 65], "expectation_value": -4.910603879608039, "params": null, "bitstrings": ["1011110", "0111110"], "total_optimization_steps": 22, "probabilities": [0.06070092546510561, 0.7871871279988286], "optimization_time": 23.27461552619934} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011110", "0101111", "1110110", "0111101", "1100111", "0111110", "1011011", "1001111"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.12079281128675705) q[0];
rz(0.5674813099381055) q[0];
rx(3.387397693875746) q[1];
rz(0.5870240098225082) q[1];
rx(2.8522529650362514) q[2];
rz(0.21132100675353965) q[2];
rx(0.04928141958692428) q[3];
rz(-1.4732088475229657) q[3];
rx(-0.13805548395794637) q[4];
rz(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... | [
"IIIIIZZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IZIIIZI",
"IZIZIII",
"IZZIIII",
"IIZIZII",
"IZIIZII",
"ZIZIIII",
"ZZIIIII",
"ZIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII",
"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,
0.5,
-1,
-1,
-1.5,
-2,
-2,
-1,
-1
] | 0.978839 | [
0.12079281128675705,
0.5674813099381055,
3.387397693875746,
0.5870240098225082,
2.8522529650362514,
0.21132100675353965,
0.04928141958692428,
-1.4732088475229657,
-0.13805548395794637,
-0.5254705969434057,
0.05901400317539679,
-0.4027360692677126,
0.4972066229465188,
0.5280601181764276
] | {
"n_parameters": 14,
"n_qubits": 7,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 16 |
b82a9a5c1952413bdb16f0a16d3345c3 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 3}, ... | {"states": [58, 186], "expectation_value": -3.002711271574136, "params": [-0.003, 0.2306, -0.0035, 0.2359, 0.2972, 0.0017000000000000001, 0.2932, -0.0014, 0.0001, 0.24200000000000002, -0.006, 0.2348, 0.29960000000000003, 0.003, 0.2977, 0.0001, 0.2995, 0.0002, 0.3049, 0.0027, 0.29610000000000003, 0.0035, 0.2975, 0.001, ... | 0.03125 * (Z(0) @ Z(1)) + 0.03125 * (Z(0) @ Z(3)) + 0.03125 * (Z(0) @ Z(4)) + 0.03125 * (Z(0) @ Z(5)) + 0.03125 * (Z(0) @ Z(2)) + 0.03125 * (Z(1) @ Z(3)) + 0.03125 * (Z(1) @ Z(4)) + 0.03125 * (Z(1) @ Z(5)) + 0.03125 * (Z(1) @ Z(2)) + 0.03125 * (Z(3) @ Z(4)) + 0.03125 * (Z(3) @ Z(5)) + 0.03125 * (Z(2) @ Z(3)) + 0.03125 ... | 7 | 9 | 4 | {"smallest_eigenvalues": [-4.03125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.03125, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 5.96875} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.11022342115498221) q[0];
rz(0.2278358494353454) q[0];
rx(0.28944785594669625) q[1];
rz(-0.2044616825056346) q[1];
cx q[1], q[0];
rz(-0.07297822034108067) q[0];
cx q[1], q[0];
rz(-1.660014583555341) q[0];
ry(0.08410768725013024) q[0];
rz(2.05709422351947) q[0];
rx(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"IIIIIIZZI",
"IIIIZZIII",
"IIIZIZIII",
"IIIIIZZII",
"IIIZZIIII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIZIZZ",
"IIIIZIIZZ",
"IIIZIIIZZ",
"IIIIIIZZZ",
"IIIIZZIIZ",
"IIIZIZIIZ",
"... | [
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.03125,
-0.0312... | 0.970338 | [
0.11022342115498221,
0.15485762909426468,
0.28944785594669625,
-0.2044616825056346,
0.10518615424971503,
0.18280995639776648,
0.43584200198613005,
-0.3234665047524375,
0.5883965255693145,
0.024560163426035137,
0.38870551459165004,
0.039152227464967604,
0.1543307577594331,
0.151178642755410... | {
"n_parameters": 152,
"n_qubits": 9,
"optimal_eigenvalue": -4.03125,
"target_ratio": 0.97,
"target_value": -3.9103125
} | 13 |
3f15d8a3a52bb3495503dcce203eb5e8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 17, "source": 1, "target": 3}, {... | {"states": [124, 118], "expectation_value": -23.390965750704822, "params": [[0.0281, 0.0002], [-0.07880000000000001, -0.0655]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.010812849698583295, 0.011864188206883203], "optimization_time": 4.371229648590088} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 174.0} | 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
13.5,
5,
20.5,
19.5,
8.5,
25,
12,
6
] | 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 |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 3], "expectation_value": -2.499905744134611, "params": null, "bitstrings": ["1111", "1100"], "total_optimization_steps": 12, "probabilities": [1.7262802419417304e-05, 0.9999394822330102], "optimization_time": 5.185598611831665} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"], "largest_eigenvalue": 5.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.1714898456555271) q[0];
cx q[1], q[0];
h q[2];
cx q[2], q[0];
rz(0.1714898456555271) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1714898456555271) q[1];
cx q[1], q[0];
rz(-0.24938667349607663) q[0];
cx q[1], q[0];
cx q[2], q[1];
h q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... | [
"IIZZ",
"IZZI",
"IZIZ",
"ZIZI",
"ZIIZ",
"IIZI",
"IIIZ",
"IZII",
"ZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
-0.5,
-0.5
] | 0.525188 | [
0.1714898456555271,
-0.24938667349607663,
1.1176635259891476,
0.8103834446690221,
-0.7718739166458187
] | {
"n_parameters": 5,
"n_qubits": 5,
"optimal_eigenvalue": -2,
"target_ratio": 0.97,
"target_value": -1.94
} | 163 |
969dbed488b18fd892982f38c13bf4b6 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.7092044523812004, "params": [[1.4199000000000002, 0.1958, 1.5881, 0.19820000000000002, 1.5662, 0.2432, 1.6712, 1.5413000000000001, 0.20770000000000002, 1.5855000000000001, 0.1778, 1.5729, 0.1855, 1.6228, 0.20980000000000001, 0.24020000000000002], [1.6896, 0.2129, 1.568... | 0.25 * (Z(0) @ Z(1)) + -0.0006510416666666666 * (Z(2) @ Z(0)) + -0.0006510416666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00026041666666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + 0.00026041666666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0006510416666666666 * (Z... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0238715277777355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0238715277777333, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.010503472222186} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.3713705382512211) q[0];
ry(-0.01880946364669115) q[1];
ry(1.5087879271395181) q[2];
ry(0.05433772567621215) q[3];
ry(1.455555532966253) q[4];
ry(0.03337491665943644) q[5];
ry(2.3308596918773126) q[6];
ry(1.4826171861133974) q[7];
ry(0.06751706760181153) q[8];
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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZZII",
"IIIIIIIIIIIZIIIZ",
"IIIIIIIIIIIZIZII",
"IIIIIIIIIIZIIIZI",
"IIIIIIIIIIZIZIII",
"IIIIIIIIIIZZIIII",
"IIIIIIIIIZIIIIIZ",
"IIIIIIIIIZIIIZII",
"IIIIIIIIIZIZIIII",
"IIIIIIIIZIIIIIZI",
"IIIIIIIIZIIIZIII",
"IIIIIII... | [
0.25,
-0.0006510416666666666,
-0.0006510416666666666,
0.25,
0.00026041666666666666,
-0.00078125,
0.00026041666666666666,
-0.00078125,
0.25,
-0.0006510416666666666,
-0.0006510416666666666,
-0.00078125,
-0.0006510416666666666,
-0.0006510416666666666,
-0.00078125,
0.25,
0.000390625,
0... | 0.970441 | [
1.3713705382512211,
-0.01880946364669115,
1.5087879271395181,
0.05433772567621215,
1.455555532966253,
0.03337491665943644,
2.3308596918773126,
1.4826171861133974,
0.06751706760181153,
1.588390495568345,
-0.10201825471150508,
1.4130133774218798,
0.08215578763105132,
1.6010445184584388,
-0... | {
"n_parameters": 32,
"n_qubits": 16,
"optimal_eigenvalue": -2.0238715277777355,
"target_ratio": 0.97,
"target_value": -1.9631553819444034
} | 23 |
650b49d36654090517b0483e65311494 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 7}, {"weight": 14, "sourc... | {"states": [427, 234], "expectation_value": -36.039483946102585, "params": null, "bitstrings": ["001010100", "100010101"], "total_optimization_steps": 100, "probabilities": [0.1152385196813279, 0.1626625789064294], "optimization_time": 149.65781235694885} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 18.5 * Z(2) + 9.0 * Z(0) + 12.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010101"], "largest_eigenvalue": 155.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(-0.5024864574242284) q[0];
rz(-pi) q[0];
rz(-pi) q[1];
ry(-1.8293131006259886) q[1];
ry(-3.0930331964099023) q[2];
rz(-pi) q[2];
rz(-pi) q[3];
ry(-0.3848051578888608) q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(63.24364681775204) q[7];
cx q[7], q[2];
ry(-31.390517213189... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.1215) 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] = m... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIZIIZI",
"IIIZZIIII",
"IIZZIIIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"IIZIIIIII",
"IZIIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
18.5,
9,
12.5,
12,
3.5,
11,
1.5,
13,
9.5
] | 0.97454 | [
1.547646192323778,
63.24364681775204,
22.972212305169684,
62.78103442637832,
-1.200054150574394,
49.712119792415116,
25.033016885980246,
-0.12022291025117846,
9.386180832139518,
26.719810916977092,
49.23558804873851,
-27.611902236462793,
-1.1770464203922801,
-0.13669708902106426,
4.85359... | {
"n_parameters": 81,
"n_qubits": 9,
"optimal_eigenvalue": -78.5,
"target_ratio": 0.97,
"target_value": -76.145
} | 110 |
474afac3a31ba487f93ea7ccb82b3637 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [0, 85], "expectation_value": -5.37245604937606, "params": [[-0.1685], [0.1779]], "bitstrings": ["11111111", "10101010"], "total_optimization_steps": 20, "probabilities": [0.017225154434119705, 0.021515740945218916], "optimization_time": 2.548413038253784} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"], "largest_eigenvalue": 24.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.36872562284623683) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.0013655158718997333) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.00014135006894810655) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.8230635131707402) q[4];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIZI",
"IIIZIIIZ",
"ZIIIIIZI",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIZIZI",
"IZIIIIZI",
"IZIIIZII",
"IIZIIIZI",
"IIZIIZII",
"IIZZIIII",
"ZIZIIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIII... | [
-0.75,
-1.25,
-1,
-0.5,
-1.75,
2.75,
-0.25,
-1,
-1.5,
-0.75,
-1,
-1.25,
-1,
-1.5,
-1.25,
3.5,
-0.25,
-1.75,
-2.25,
-0.75,
0.25,
-2.25,
3.5
] | 0.701154 | [
-0.36872562284623683,
0.0013655158718997333,
0.00014135006894810655,
-0.8230635131707402,
0.436838185920855,
-0.026107577769653063,
0.6164086498279017,
0.0005290909695814357,
-1.5695427040038046,
1.5735797033135825,
-1.5707911703690771,
1.5642689749322976
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -19,
"target_ratio": 0.97,
"target_value": -18.43
} | 323 |
4743a42b98680c4f321c8f72a752812d | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [287, 447], "expectation_value": -11.414364348807236, "params": null, "bitstrings": ["011100000", "001000000"], "total_optimization_steps": 91, "probabilities": [0.15640941847284406, 0.6925526015669172], "optimization_time": 195.18794465065002} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"], "largest_eigenvalue": 30.166666666666668} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.46649451005994) q[0];
h q[1];
ry(0.6154181234488859) q[1];
h q[2];
ry(-0.5514930215325138) q[2];
h q[3];
cx q[3], q[1];
ry(-0.6154181234488859) q[1];
cx q[3], q[1];
ry(0.8741378410306877) q[3];
cx q[1], q[3];
ry(-0.8741378410306877) q[3];
cx q[1], q[3];
cx ... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.2475) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... | [
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIIIIIZZ",
"IZIIIZIII",
"ZIIIIZIII",
"ZZIIIIIII",
"IIIIZZIII",
"IZIIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"IZIZIIIII",
"ZIIZIIIII",
"IIIZZIIII",
"IIZIIZIII",
"IZZIIIIII",
"ZIZIIIIII",
"IIZIZIIII",
"IIZZIIIII",
"IIIIIZIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"... | [
-0.5,
-0.5,
0.33333333333333337,
-0.5,
-0.5,
1,
0.5,
-0.5,
-0.5,
1,
-1,
-1,
2,
0.5,
-0.5,
-0.5,
1,
2,
1,
0.16666666666666674,
0.16666666666666674,
-0.5,
-0.5,
3.5,
7,
3.5,
-0.16666666666666666
] | 0.972673 | [
0.2709847211916842,
0.40264555795763096,
0.12899811327846203,
1.513137859795444,
0.35718583373419116,
1.7142782611060803,
1.7328222848880896,
0.6485768347912756,
1.4510178964029241,
1.2308362468977718,
1.7482756820613754,
0.93298902011988,
0.15122911101274447,
-1.1029860430650276,
0.1357... | {
"n_parameters": 46,
"n_qubits": 9,
"optimal_eigenvalue": -12.166666666666666,
"target_ratio": 0.97,
"target_value": -11.801666666666666
} | 19 |
b112e2ea9564e5424aa1ebbe167f5e45 | 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": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -2.871920709788456, "params": [[-0.1787, -0.1705], [0.17700000000000002, 0.16740000000000002]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 20, "probabilities": [0.025274149627536123, 0.026456632911396053], "optimization_time": 3.0752062797546387} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111000", "11111010"], "largest_eigenvalue": 7.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.18819774766479871) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.18819774766479871) q[2];
cx q[1], q[2];
rz(0.9557972396968015) q[1];
rx(1.563801549934994) q[1];
h q[3];
cx q[0], q[3];
rz(0.4061575429734188) q[3];
cx q[0], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIZIIZ",
"IIZIIIIZ",
"IIZIZIII",
"IIIIIZZI",
"IIZIIZII",
"IIIZZIII",
"IZZIIIII",
"IZIZIIII",
"ZIIIIIIZ",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIZIII",
"IIZIIIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
-0.5,
-0.25,
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
1.25,
-0.5,
0,
-0.25,
-0.5,
1.75,
-1,
-0.75,
0,
0.75
] | 0.90226 | [
0.18819774766479871,
0.4061575429734188,
-0.39507107261197827,
0.9557972396968014,
-0.4899844130103013,
0.8080302961898232,
0.8568281505616694,
-0.9522092767684763,
1.563801549934994,
0.3638837016850933,
0.5115046122872459,
-0.8854963185030021,
-2.014006815333632,
1.414161618397495,
1.20... | {
"n_parameters": 17,
"n_qubits": 8,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 383 |
953024809056d5230593c124cb7545a9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}, {"id": 15}, {"id": 16}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target":... | {"states": [32766, 65535], "expectation_value": -38.11239449300708, "params": [[[-0.9656, 1.1084], [-0.004200000000000001, 1.1064], [-0.0029000000000000002, -0.0015], [-0.0032, -0.0031000000000000003], [-0.0037, 0.3265], [-0.0025, -0.0019], [-0.002, 0.0017000000000000001], [-0.0017000000000000001, -0.002100000000000000... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(8)) + -2.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(9)) + -3.0 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(4)) + -3.... | 15 | 16 | 1 | {"smallest_eigenvalues": [-46.49999999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.499999999999446, "smallest_bitstrings": ["0000000000000000"], "largest_eigenvalue": 43.49999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(0.197521885744528) q[0];
ry(-0.03747872006574561) q[1];
ry(-0.23676182736884105) q[2];
ry(-0.15981105716119703) q[3];
ry(0.2485828282302141) q[4];
ry(0.10327255217624431) q[5];
ry(-0.057143512828758125) q[6];
ry(-0.26641511203190665) q[7];
ry(-0.057591249606066236) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIIIIIZZ",
"IIIIIIIIIIIIIZZI",
"IIIIIIIIIIIIIZIZ",
"IIIIIIIIIIIIZIZI",
"IIIIIIIIIIIIZIIZ",
"IIIIIIIIIIIIZZII",
"IIIIIIIZIIIZIIII",
"IIIIIIZZIIIIIIII",
"IIIIIIZIIIIZIIII",
"IIIIIIIZIIZIIIII",
"IIIIIIIIIIZZIIII",
"IIIIIIZIIIZIIIII",
"IIIIIIIZIZIIIIII",
"IIIIIIIIIZIZIIII",
"IIIIIIZ... | [
-2.5,
-2.5,
0.5,
-2.5,
0.5,
-1.5,
-2.5,
-2.5,
-2,
-3,
0.5,
1,
-3,
1,
-3,
-2.5,
1,
0.5,
-2,
-2.5,
-2,
0.5,
-3,
0.5,
-2.5,
1,
1,
-2.5,
-2.5,
0.5,
-2,
0.5,
-2,
-2,
1,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.... | 0.971857 | [
0.197521885744528,
-0.03747872006574561,
-0.23676182736884105,
-0.15981105716119703,
0.2485828282302141,
0.10327255217624431,
-0.057143512828758125,
-0.26641511203190665,
-0.057591249606066236,
0.03183037738610296,
0.19137074317887026,
-0.026323740392286833,
-0.011911599317238323,
0.016554... | {
"n_parameters": 24,
"n_qubits": 16,
"optimal_eigenvalue": -46.49999999999971,
"target_ratio": 0.97,
"target_value": -45.10499999999971
} | 31 |
1945c14bbcec92b7e4f7655d5da7795f | 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": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [128, 1], "expectation_value": -8.257007480993849, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 22, "probabilities": [0.16181872014306584, 0.644917025833557], "optimization_time": 22.149803638458252} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.5, "smallest_bitstrings": ["10111110", "10011010", "11111110", "10000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.7829208339556055) q[0];
h q[1];
h q[2];
ry(-1.565841667911211) q[2];
h q[3];
ry(-1.565841667911211) q[3];
h q[4];
ry(-1.6049620459691951) q[4];
ry(-0.02737154603416445) q[5];
rz(-pi) q[5];
h q[6];
ry(-1.5671790015514286) q[6];
h q[7];
cx q[7], q[0];
ry(0.7... | 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[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... | [
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIZII",
"IIZIIIIZ",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZZI",
"IIIZIIZI",
"IIIIZZII",
"IIIZZIII",
"IIZIZIII",
"IZIIZIII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIIZ",
"ZZIIIIII",
"ZIIIIIZI",
"IIIIIZII",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIII... | [
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
-0.5,
-0.25,
-0.75,
-0.25,
-0.75,
-0.5,
-0.75,
-0.75,
-0.75,
-0.75,
2,
-0.5,
-0.5,
-0.25,
-0.25,
0,
1.5,
-0.5,
1.25,
-2,
0.25
] | 0.971076 | [
-1.565841667911211,
-1.5671790015514286,
-1.6049620459691951,
0.6420941017453372,
-0.27825456102521207,
0.670535929579305,
-0.3414240103559716,
-1.3886537724625685,
-0.8050574439941292,
-0.281509916078036,
-0.3095420165963274,
-0.05839965564258676
] | {
"n_parameters": 12,
"n_qubits": 8,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 4 |
5e7337a4dc869526713685510f513d78 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "ta... | {"states": [21, 85], "expectation_value": -3.1908420857299697, "params": [0.4414, 0.0047, 1.6355000000000002, 0.0073, 1.4876, 0.0037, 1.7078, 0.0089, -0.0031000000000000003, 0.0001, 1.7104000000000001, 0.0092, 0.44210000000000005, 0.0018000000000000002, 1.7075, 0.0014, 0.0036000000000000003, 0.0094, 0.0092, 0.0028, 0.0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0... | 3 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101110", "01001110", "10101010", "10111000", "11011000", "11001010"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-0.1328198159889011) q[0];
rz(0.05088708513494211) q[0];
rx(2.7700281742571278) q[1];
rz(-0.011000186767700093) q[1];
rx(-0.395003853125359) q[2];
rz(1.3078340737142504) q[2];
rx(2.7018750432730583) q[3];
rz(0.1261532919081949) q[3];
rx(0.07051040527276821) q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIZIIIZ",
"IIZZIIII",
"IIZIIIIZ",
"IZIZIIII",
"IZIIIIIZ",
"IIIZIIZI",
"IIIIIZZI",
"IIIZZIII",
"IZIIZIII",
"ZIIZIIII",
"IIIZIIII",
"IIIIIIIZ",
"IIZIIIII",
"IZIIIIII",
"IIIIIIZI",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
-1,
-0.5,
-1,
-0.5,
0,
-0.5,
0
] | 0.971215 | [
-0.1328198159889011,
0.008292726783673182,
2.7700281742571278,
0.283282293367793,
-0.395003853125359,
0.8387615430119731,
2.7018750432730583,
0.6920648861865146,
0.07051040527276821,
-0.4262205499708248,
2.986857340067948,
0.9381450614045552,
0.054299812714704423,
1.013107599970353,
2.97... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 18 |
8ba3b716627498c896f8e55ab6717a32 | 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": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [25, 153], "expectation_value": -19.12521465461693, "params": [0.033100000000000004, 1.187, 0.6964, 0.466, -0.0031000000000000003, 1.4462000000000002, -0.0068000000000000005, 1.177, 1.1197000000000001, 0.793, 1.1197000000000001, -0.0119, -0.0029000000000000002, 1.3895, 0.0048000000000000004, 1.2615, 1.0465, ... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -1.0 * (Z(8) @ Z(1)) + 4.0 * (Z(8) @ ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["101100110"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(0.36629017619192517) q[0];
rz(2.6590895329145035) q[0];
rx(0.6522359773495556) q[1];
rz(2.1167059752285837) q[1];
rx(-0.02887208608601841) q[2];
rz(-3.116796008938347) q[2];
rx(-0.05697306845919328) q[3];
rz(2.648238060545589) q[3];
rx(1.3811853011744597) q[4];
rz(2.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IZIIIIIZI",
"IZIIIIIIZ",
"IZIIIZIII",
"IZZIIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIZIII",
"IIIIZIIZI",
"IIIIZZIII",
"IIZIZIIII",
"ZIIIZIIII",
"IIIZIZIII",
"ZIIZIIIII",
"... | [
-0.25,
-0.75,
-1,
-1.25,
-0.75,
-0.75,
-1,
-1,
-0.5,
-0.75,
-1,
-1.25,
-1,
4,
-0.25,
-1.25,
-1,
-1.25,
-1,
-0.5,
-0.75,
-0.25,
0.75,
-0.25,
0.25,
-2.5,
-4,
2,
1,
2.75,
0
] | 0.970831 | [
0.3662901761919252,
1.0882932061196073,
0.6522359773495556,
0.5459096484336865,
-0.028872086086018406,
1.5955929714463426,
-0.05697306845919328,
1.0774417337506923,
1.3811853011744597,
0.9085148071025628,
-0.1340264687407385,
0.1319224339149663,
1.245935230529323,
-0.06160287482492041,
1... | {
"n_parameters": 75,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 9 |
5469aa9cf7b0e564781bf3502161421e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 7}, {"source": 5, "target":... | {"states": [219, 255], "expectation_value": -11.134517783263826, "params": null, "bitstrings": ["100100100", "100000000"], "total_optimization_steps": 100, "probabilities": [0.06052015012979641, 0.5821832686751255], "optimization_time": 211.38136100769043} | -1.5 * (Z(1) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rz(3.141592437712256) q[0];
ry(0.5979062205559135) q[0];
rz(1.5707965879846695) q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(1.1228046896756043) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(1.1228046896756043) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.08027592993150989) q[2... | null | {"node": 0} | {"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[8], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc... | [
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIZI",
"IIZIZIIII",
"IZZIIIIII",
"IZIIZIIII",
"IIZZIIIII",
"ZIZIIIIII",
"ZIIIZIIII",
"ZZIIIIIII",
"ZIIZIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIZIIIIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIIIZ"
] | [
-1.5,
-1.5,
0.5,
-2,
-2,
-1.5,
0.5,
-2.5,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.556 | [
1.1228046896756043,
0.08027592993151006,
1.077115981954942,
0.19906124750355397,
1.5707964738220588,
0.972890106238999
] | {
"n_parameters": 6,
"n_qubits": 9,
"optimal_eigenvalue": -15,
"target_ratio": 0.97,
"target_value": -14.549999999999999
} | 162 |
-4197182956855702990 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [0, 1, 3, 5], [0, 1, 2, 3], [1, 2, 5], [0, 1, 4, 5], [0, 2, 4, 5], [0, 1, 2, 4]]} | {"states": [50, 45], "expectation_value": -0.07235804118054749, "params": [[0.0698], [-0.0738]], "bitstrings": ["001101", "010010"], "total_optimization_steps": 10, "probabilities": [0.01648554444550896, 0.016576188551297232], "optimization_time": 2.802363872528076} | 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.916666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["010010"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(1.5745950794154189) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.015593921686595723) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(-0.015238777365509416) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(-0.015238777365509416) q[1];
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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3... | null | {"circuits": [], "gradients": []} | [
"IZZIII",
"IZIIIZ",
"IIZIIZ",
"IZIIZI",
"IIZIZI",
"IIIIZZ",
"ZZIIII",
"ZIZIII",
"ZIIIIZ",
"ZIIIZI",
"IZIZII",
"IIZZII",
"IIIZIZ",
"IIIZZI",
"ZIIZII",
"IZIIII",
"IIZIII",
"IIIIIZ",
"IIIIZI",
"ZIIIII",
"IIIZII"
] | [
0.5,
0.25,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.16666666666666666,
0.08333333333333333,
0.25,
0.3333333333333333,
0.25,
0.375,
0.25,
0.625,
0.6666666666666666,
0.... | 0.818229 | [
1.5745950794154189,
0.015593921686595723,
-0.015238777365509416,
0.44796403123650075,
-0.01602491500265101,
-0.025389916610784904,
1.4116908509953343,
-0.8047293680387121,
1.3703658538192982,
-1.018593159113282
] | {
"n_parameters": 10,
"n_qubits": 6,
"optimal_eigenvalue": -1.916666666666667,
"target_ratio": 0.97,
"target_value": -1.8591666666666669
} | 233 |
4dc7eb2b16579aab0e582a9105750b79 | 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": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target": 7}, {"source": 6, "ta... | {"states": [0, 103], "expectation_value": -7.885486965574273, "params": [0.3723, 0.8886000000000001, -0.19990000000000002, 0.6823, 0.37470000000000003, 0.9024000000000001, -0.24500000000000002, 0.6353, -0.0869, 0.67, -0.0043, 0.5399, -0.37210000000000004, 0.1758, -0.37610000000000005, 0.1791, -0.3992, 0.2099, -0.387200... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 6 | 7 | 4 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["0000000", "0011000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.5517413785853308) q[0];
rz(2.803689702160259) q[0];
rx(0.5738410538043462) q[1];
rz(2.7933162495081607) q[1];
rx(0.0030785040495915125) q[2];
rz(1.931246459140004) q[2];
rx(-1.0109148204410165) q[3];
rz(2.5120193824806982) q[3];
rx(-0.9744558214063344) q[4];
rz(1.8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"ZIZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIZIIII",
"ZIIIIII"
] | [
-1,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
1,
-1,
0.5,
0.5,
0.5
] | 0.970116 | [
0.5517413785853307,
1.2328933753653626,
0.5738410538043464,
1.2225199227132642,
0.0030785040495915133,
0.36045013234510787,
-1.0109148204410165,
0.9412230556858013,
-0.9744558214063344,
0.31932405041847894,
-0.8073804844757921,
-0.458178133271434,
-0.4328206050605488,
-0.041349717089578686... | {
"n_parameters": 140,
"n_qubits": 7,
"optimal_eigenvalue": -9.5,
"target_ratio": 0.97,
"target_value": -9.215
} | 494 |
-5251884112613032137 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 7], [0, 4, 5, 6, 7], [1, 3, 4, 5]]} | {"states": [189, 63], "expectation_value": -0.2880347741775857, "params": [[-0.46540000000000004], [0.46940000000000004]], "bitstrings": ["01000010", "11000000"], "total_optimization_steps": 50, "probabilities": [0.0068030480769968125, 0.006803048076996813], "optimization_time": 7.121979713439941} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.05 * (Z(0) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.7, -0.7, -0.7, -0.7], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6999999999999998, "smallest_bitstrings": ["00100110", "10010010", "11000010", "11000000"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.0046243870921098395) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.0046243870921098395) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-1.5803926440292775) q[3];
cx q[1], q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
r... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"ZIIIIZII",
"ZIIIIIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"IIIZIIZI",
"IIIZZIII",
"ZIIZIIII",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIZIII",
"ZIZIIIII",
"IIZIIIIZ",
"IIZZIIII",
"ZZIIIIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZII... | [
0.08333333333333333,
0.08333333333333333,
0.16666666666666666,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.05,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.08333333333333333,
0.08333333333333333,
0.05,
0.05,
0.13333333333333333,
0.05,
0.05,
0.05,
... | 0.895328 | [
0.0046243870921098395,
-1.5803926440292775,
-0.13142992439519866,
-0.018760378440428424,
-1.5691575371755166,
-0.0013491292989718019,
-1.4956603725860136,
0.5354732928264901,
1.048407204797835
] | {
"n_parameters": 9,
"n_qubits": 8,
"optimal_eigenvalue": -0.7,
"target_ratio": 0.97,
"target_value": -0.6789999999999999
} | 199 |
9c3f86affe867d86b1a933450f0ead98 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -37.866325533793294, "params": [[[0.0024000000000000002, -0.20520000000000002], [-0.0035, -0.2079], [0.0014, -0.2546], [-0.0099, 0.1845], [0.0017000000000000001, -0.2154], [0.40180000000000005, 0.0014]], [[0.0016, -0.2021], [-0.0079, -0.2071], [-0.0043, -0.259], [-0.0089, 0.1844]... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 119.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.08159444532943627) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.08159444532943627) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.08159444532943627) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.08159444532943627) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
3,
-13,
-13,
-13.25,
-13,
-13,
-12.25
] | 0.972546 | [
0.08159444532943627,
0.316411072313747,
1.4274685730664627,
1.5697177918156073,
0.6556767612910719,
0.5389446975291273,
-0.02784567768025009,
-0.5301187784688065,
0.4226894690015448,
0.20765044488818968,
-0.5369605142119381,
0.8276321080557579,
-0.20067121769985835,
0.021804244236934816,
... | {
"n_parameters": 18,
"n_qubits": 6,
"optimal_eigenvalue": -40.25,
"target_ratio": 0.97,
"target_value": -39.0425
} | 59 |
a72353b3f3d39b66b1e7bcbe39a68bf2 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [511, 510], "expectation_value": -1.3670944772155005, "params": [[-0.07400000000000001], [0.0722]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.003296094182106574, 0.003366939382562152], "optimization_time": 2.438627004623413} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000001"], "largest_eigenvalue": 16.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.9415630442967537) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.21995847618572695) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.44713908697091814) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.9415630442967537) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIIZIIIZ",
"IIIIZIZII",
"IIIIZZIII",
"IZIZIIIII",
"IZZIIIIII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIIZIII",
"IIIIZIIII",
"IZIIIIIII",
"IIIZIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-2,
1,
-2.5,
-2,
-2,
-2.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.529162 | [
0.9415630442967537,
0.21995847618572695,
0.44713908697091814,
0.13017078990936806,
1.0482937107472254,
1.5707964035855109,
0.9520730623988463
] | {
"n_parameters": 7,
"n_qubits": 9,
"optimal_eigenvalue": -18,
"target_ratio": 0.97,
"target_value": -17.46
} | 189 |
a9409fcc1c37f00d69e6ff7314eee747 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 6}, {"sour... | {"states": [124, 127], "expectation_value": -8.205482572060541, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 84, "probabilities": [0.1477881522625492, 0.5742432355680532], "optimization_time": 100.45735335350037} | -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0.5 * Z(0) | 5 | 8 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
ry(0.021658842194341686) q[1];
h q[2];
ry(0.021658842194341686) q[2];
h q[3];
cx q[3], q[1];
ry(-0.021658842194341686) q[1];
cx q[3], q[1];
cx q[1], q[2];
ry(-0.021658842194341686) q[2];
cx q[1], q[2];
ry(1.2690698017352298) q[1];
cx q[2], q[1];
ry(0.049... | null | {"node": 0} | {"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[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... | [
"IIIIIZZI",
"IIIIZZII",
"IIIIZIZI",
"IIIZIZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIIZI",
"IIZIZIII",
"ZZIIIIII",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"ZIIIIIII",
"IZIIIIII",
"IIIIIIIZ"
] | [
-2,
0.5,
-2.5,
0.5,
-2,
0.5,
0.5,
-1.5,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.973459 | [
0.04331768438868337,
1.558813512534159,
1.3186258314082524,
-0.09911205934604497,
1.434796182147094,
2.1301521039389266,
0.6213646781763157,
0.4215903718537248,
0.8017809575126001,
-0.6401186696082121,
0.004205360869080306,
0.062201038654250924,
-2.1445552086865884,
0.511324330828279,
0.... | {
"n_parameters": 44,
"n_qubits": 8,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 123 |
2465368945208217597 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3], [1, 2, 5], [3, 4], [0, 4], [0, 3, 5]]} | {"states": [19, 44], "expectation_value": -0.0480505257565536, "params": [[-0.08070000000000001], [0.0731]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.016668713013115333, 0.01679266857609195], "optimization_time": 1.4817109107971191} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666665, "smallest_bitstrings": ["010011"], "largest_eigenvalue": 3.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.16855787024815816) q[0];
cx q[1], q[0];
h q[2];
h q[3];
cx q[1], q[3];
rz(-0.16855787024815816) q[3];
cx q[1], q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.16855787024815816) q[2];
cx q[1], q[2];
rz(-0.6698136494878565) q[3];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x1) q[3]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIZI",
"IIZIIZ",
"IIIZZI",
"ZIIIZI",
"ZIIIIZ",
"ZIZIII",
"ZIIZII",
"IZIIIZ",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIZIII",
"IIIZII",
"ZIIIII",
"IZIIII"
] | [
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.3333333333333333,
0.33333333333333326,
0.33333333333333326,
0.16666666666666666,
0.3333333333333333,
0
] | 0.563929 | [
-0.16855787024815816,
-0.6698136494878565,
-0.3814730617347921,
1.4583514134058784,
0.9922411653727018
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -1.6666666666666667,
"target_ratio": 0.97,
"target_value": -1.6166666666666667
} | 157 |
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