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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -27.94695215482127, "params": [[0.031200000000000002, 0.0004, -0.0053], [-0.0893, -0.07980000000000001, -0.0752]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.02492510890790942, 0.03184039701288286], "optimization_time": 6.481198310... | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"], "largest_eigenvalue": 134.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.366669122515066) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.366669122515066) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.366669122515066) q[2];
cx q[0], q[2];
h q[3];
cx q[0], q[3];
rz(0.366669122515066) q[3];
cx q[0], q[3];
h q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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\": 5}"} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIZIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
3,
19,
7.5,
12.5,
17.5,
11.5,
12,
9.5
] | 0.608376 | [
0.366669122515066,
0.6186240853904678,
-0.8045916182441789
] | {
"n_parameters": 3,
"n_qubits": 9,
"optimal_eigenvalue": -6,
"target_ratio": 0.97,
"target_value": -5.82
} | 106 |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [33, 18], "expectation_value": -0.424959491183294, "params": [[-0.054, -0.0487, -0.0669, -0.07490000000000001], [0.0651, 0.0563, 0.06620000000000001, 0.0722]], "bitstrings": ["011110", "101101"], "total_optimization_steps": 10, "probabilities": [0.02567548597044405, 0.02567548597044409], "optimization_time":... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"], "largest_eigenvalue": 5.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(1.477440440231795) q[0];
ry(-0.06728346725284151) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-0.022464637706429983) q[2];
ry(-0.14026191198045032) q[3];
rz(-pi) q[3];
h q[4];
h q[5];
ry(-0.5587307208019142) q[5];
cx q[4], q[5];
ry(0.5587307208019142) q[5];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIZIIZ",
"IZIIIZ",
"IIIZIZ",
"IZZIII",
"IIZZII",
"IZIZII",
"IZZIIZ",
"IIZZIZ",
"IZIZIZ",
"IZZZII",
"IZZZIZ",
"ZIIIZI",
"ZZIIII",
"IIIIIZ",
"IIIIZI",
"IIZIII",
"IZIIII",
"IIIZII",
"ZIIIII"
] | [
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.125,
-0.5,
-0.625,
-0.125,
-0.625,
-0.5
] | 0.985036 | [
-1.51259205572021,
-1.455297284188031,
-1.5790493769346474,
1.477440440231795,
-1.1174614416038284,
0.8138164984265778,
-0.3239264793788754,
0.4355121917407859,
-0.29038767173572155,
-0.09643115070804845,
-0.028423175133358375,
0.06490628447523733,
0.1641152818115272,
-0.1905830969119133,
... | {
"n_parameters": 17,
"n_qubits": 6,
"optimal_eigenvalue": -2.625,
"target_ratio": 0.97,
"target_value": -2.54625
} | 1 |
27f1da5722ded99f334fcda44f20bf4d | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [81, 70], "expectation_value": -0.8162172149976432, "params": [[-0.048400000000000006, -0.06770000000000001, -0.0636], [0.0393, 0.06720000000000001, 0.0697]], "bitstrings": ["0101110", "0111001"], "total_optimization_steps": 10, "probabilities": [0.012136147420448955, 0.012653084638719997], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111001", "0110110", "0110101", "0101101", "0101110"], "largest_eigenvalue": 10.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.24863861863790285) q[0];
cx q[1], q[0];
rz(-0.5740865109863269) q[0];
rx(0.3792418559971791) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.24863861863790285) q[4];
cx q[1], q[4];
h q[5];
cx q[1], q[5];
rz(-0.24863861863790285) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIZIIZI",
"IZIIIZI",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIZIZII",
"IIZZIII",
"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,
-1.5,
0,
-1.5,
-0.5,
-1,
-0.5,
-0.5
] | 0.909555 | [
-0.24863861863790285,
-1.4925884650876982,
-0.574086510986327,
2.6560541657410317,
-1.5531299626372685,
0.37924185599717913,
0.3380511882655092,
3.2438914989792718,
-2.8598929860141347,
3.798887063260879,
1.8016702506190545,
-1.673731553447652,
-0.40970868814604755,
1.8082050959274005,
0... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 500 |
4eac9eaaffca52f298d0c518b2482b0f | 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": [598, 602], "expectation_value": -86.45381342136274, "params": [[[0.9172, -0.0033], [0.1437, 0.0031000000000000003], [0.017400000000000002, -0.0018000000000000002], [0.7387, 0.0011], [0.0526, -0.0028], [0.9239, 0.0983], [0.6429, 0.1857], [-0.0094, 0.1421], [1.0657, 0.3526], [-0.09620000000000001, 0.1885]], [... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(4)) + 6.5 * (Z(9) @ Z(8)) + -2.0 * Z(1) + 6.0 * Z(0) + 16.5 * Z(3) + -6.0 * Z(2) + 2.5 * Z(4) + 12.5 * Z(5) + 2.0 * Z(7) + 6.5 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.5, "smallest_bitstrings": ["0110100101"], "largest_eigenvalue": 112.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
ry(0.9444531389598863) q[0];
ry(-0.0653434501899724) q[1];
ry(0.18648859033059473) q[2];
ry(0.5814918130836902) q[3];
ry(-0.35361229826366924) q[4];
ry(1.0229935573845006) q[5];
ry(0.9576168256557038) q[6];
ry(-0.27618103917177994) q[7];
ry(1.0416681547560942) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIZIIIIZ",
"IIZIZIIIII",
"IIIZZIIIII",
"IIZZIIIIII",
"IZIIIIZIII",
"IZIIIZIIII",
"ZZIIIIIIII",
"IIIIIIIIZI",
"IIIIIIIIIZ",
"IIIIIIZIII",
"IIIIIIIZII",
"IIIIIZIIII",
"IIIIZIIIII",
"IIZIIIIIII",
"IIIZIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII"... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-2,
6,
16.5,
-6,
2.5,
12.5,
2,
6.5,
14.5,
-5
] | 0.9729 | [
0.9444531389598863,
-0.0653434501899724,
0.18648859033059473,
0.5814918130836902,
-0.35361229826366924,
1.0229935573845006,
0.9576168256557038,
-0.27618103917177994,
1.0416681547560942,
0.16796111297367106,
0.06785174886877471,
0.0920596385778084,
0.043862453048883164,
0.08220201583788064,... | {
"n_parameters": 78,
"n_qubits": 10,
"optimal_eigenvalue": -90.5,
"target_ratio": 0.97,
"target_value": -87.785
} | 54 |
4187cb356e6f58a0c6714f20153352eb | 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": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -10.027692267382603, "params": [0.0017000000000000001, 0.0064, 0.0026000000000000003, 0.0027, 0.0023, 0.0086, 0.0023, 0.003, 1.1939, 0.0002, 0.0023, 0.0036000000000000003, 0.0024000000000000002, 0.0015, 1.1745, 0.0091, 1.5985, 0.0097, 0.006900000000000001, 0.001, 0.00290000000000... | -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) ... | 3 | 9 | 1 | {"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": ["101111110", "111111110", "111101100", "111111100", "111101110", "101101110", "101101100", "101111100"], "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... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"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 |
54a726d08c469ae589dc338d500cf5e1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [933, 805], "expectation_value": -84.02047012451081, "params": [0.0029000000000000002, 0.008700000000000001, 2.6079000000000003, 0.0019, 2.6063, 0.0058000000000000005, 1.5493000000000001, 0.0064, 0.1101, 0.0055000000000000005, 2.5969, 0.002, -0.012700000000000001, 0.001, 0.0019, 0.004, 2.5986000000000002, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + -5.5 * Z(0) + 8.0 * Z(1) + 9.0 * Z(3) + 12.0 * Z(2) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.0, "smallest_bitstrings": ["10011011010"], "largest_eigenvalue": 145.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.03823326943632134) q[0];
rz(0.2926886736392156) q[0];
rx(3.171185735782142) q[1];
rz(-0.21835063908937646) q[1];
rx(3.1276707486284767) q[2];
rz(-0.49190281173998185) q[2];
rx(0.2557233982745066) q[3];
rz(0.7242685750767079) q[3];
rx(0.14543643577900542) 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[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIZIIZII",
"IIIIZZIIIII",
"IIZIIIIZIII",
"IIZZIIIIIII",
"IZIIIIIIZII",
"IZIIIZIIIII",
"ZIIIIIIZIII",
"ZIZIIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIIZIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
-5.5,
8,
9,
12,
-1.5,
15.5,
-2,
16,
-5,
7.5,
13
] | 0.972447 | [
0.03823326943632134,
0.2200536522984436,
3.171185735782142,
-0.21835063908937646,
3.1276707486284767,
-0.49190281173998185,
0.2557233982745066,
0.7242685750767079,
0.14543643577900542,
-0.1732996908001762,
3.1174497496100257,
0.1966567296533826,
-0.06229835639426571,
-0.30522896697365615,
... | {
"n_parameters": 30,
"n_qubits": 11,
"optimal_eigenvalue": -114,
"target_ratio": 0.97,
"target_value": -110.58
} | 17 |
e5ad9c08c01c1ebe8aa9222d011acce6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.503095314584745, "params": [[0.0363, 0.0309, 0.042100000000000005, -0.042800000000000005], [-0.0397, -0.0303, -0.041, -0.0129]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.020462624730475932, 0.021268545052484465], "optimization_t... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(4)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(5) + 0.0 * Z(4) + 1.25 * Z(2) + -0.75 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000"], "largest_eigenvalue": 6.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.26563194476290347) q[0];
h q[1];
ry(0.46063529140043846) q[1];
h q[2];
ry(0.4160543927876555) q[2];
h q[3];
h q[4];
cx q[4], q[2];
ry(-0.4160543927876555) q[2];
cx q[4], q[2];
ry(1.6498259376990079) q[4];
cx q[3], q[4];
ry(-1.6498259376990079) q[4];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIIIZ",
"IZIIZI",
"ZZIIII",
"IZIZII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
-0.25,
-1,
0.5,
-0.25,
-0.25,
-1.25,
-1.75,
0.5,
-0.25,
-0.75,
0,
1.25,
-0.75
] | 0.970728 | [
0.832108785575311,
3.2996518753980157,
0.9212705828008769,
0.03287511214956562,
3.394820406287191,
-2.3713296475445462,
0.9130008242406561,
-0.23955336433664093,
-0.5312638895258069,
0.3015182015816523,
-0.7704132928114164,
0.6044840534319791,
-0.026283715182854293,
-0.836787649712148,
-... | {
"n_parameters": 33,
"n_qubits": 6,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 236 |
d0689a6dbeb7a066dbec17f8f325db83 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [1, 3], "expectation_value": -7.749999979146519, "params": null, "bitstrings": ["1111110", "1111100"], "total_optimization_steps": 16, "probabilities": [0.24999999791686373, 0.24999999791686373], "optimization_time": 9.28279995918274} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111000", "1111110", "1111010", "1111100"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) q[3];
h ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
5a8eac0760a558d4174437be478ec0aa | 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": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.049309984395377454, "params": [[-0.0682], [0.0668]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.03323461518761117, 0.033816471383145405], "optimization_time": 0.7130029201507568} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"], "largest_eigenvalue": 3.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-0.82536574049687) q[0];
rz(-pi) q[0];
h q[1];
ry(-0.24273634073259914) q[1];
h q[2];
h q[3];
ry(-0.24273634073259914) q[3];
cx q[2], q[3];
ry(0.24273634073259914) q[3];
cx q[2], q[3];
ry(1.300380278656536) q[2];
ry(-0.845563361950822) q[3];
h q[4];
cx q[4], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(x0) q[4];
cx q[1], q[4];
cx q[3], q[... | null | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IZIIZ",
"ZIIZI",
"IZZII",
"IIIZI",
"IIIIZ",
"IZIII",
"ZIIII",
"IIZII"
] | [
0.5,
0.5,
0.5,
0.5,
-0.5,
-0.5,
-0.5,
0,
0
] | 0.972605 | [
-1.0824548785035621,
-0.4854726814651983,
1.0253922282774464,
-0.6950111735231073,
0.549976100758179,
0.49856702161642463,
-0.5677464941140427,
-0.3011043768554298,
0.6740485844110712,
1.8584456786071313,
-0.3550392547384828,
-0.049666130392177224,
0.1283809090165161,
0.14940958954842865,
... | {
"n_parameters": 20,
"n_qubits": 5,
"optimal_eigenvalue": -2.5,
"target_ratio": 0.97,
"target_value": -2.425
} | 16 |
894a3266b9ae796e98ef82933298f939 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [2047, 63], "expectation_value": -1.6306113611543307, "params": [[-0.0558], [0.061000000000000006]], "bitstrings": ["00000000000", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.0007982176885885154, 0.0008176291207271655], "optimization_time": 2.0133824348449707} | -3.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (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)) + -1.5 * (Z(8) @ Z(9)) + 0.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["11111000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.04552726657446021) q[0];
rz(-0.05078304643503122) q[0];
rx(0.009886144509574243) q[1];
rz(-0.03725666287148371) q[1];
rx(0.04552726657446021) q[2];
rz(-0.1002798385251991) q[2];
rx(-0.028707425513524336) q[3];
rz(0.05386852244412306) q[3];
rx(1.7675851910687421) 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;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIZIZIIIII",
"IIIZZIIIIII",
"IIIIZZIIIII",
"IZZIIIIIIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIIZ... | [
-3,
-2.5,
-3,
-3,
-2.5,
1,
-2.5,
1,
-2,
0.5,
-1.5,
-1.5,
0.5,
-1.5,
0.5,
-1.5,
1.5,
-2,
1,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.980309 | [
0.04552726657446021,
-0.05078304643503122,
0.009886144509574243,
-0.03725666287148371,
-0.1002798385251991,
-0.028707425513524336,
0.05386852244412306,
1.7675851910687421,
-0.010257944192900732,
-0.048238428459967564,
0.07099984631679805,
-0.046641538024949324,
0.10540716148303861,
0.03509... | {
"n_parameters": 20,
"n_qubits": 11,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 1 |
5ed4b8ee16f7e72bb67d4fb9545eb28a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [79, 71], "expectation_value": -4.061051636843899, "params": [-0.006200000000000001, 0.19870000000000002, 0.40140000000000003, 0.1009, -0.0132, 0.2155, -0.0137, 0.2195, 0.3875, 0.010100000000000001, 0.40650000000000003, 0.0037, 0.4076, -0.0007, 0.4001, 0.001, -0.0085, 0.2016, 0.4011, 0.108, -0.0149, 0.217800... | 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(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -2.0 * Z(3) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10111000", "11110000", "01110001"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(3.1338107774861212) q[0];
rz(0.39690572867569274) q[0];
rx(3.0772405808992582) q[1];
rz(0.11150791406859023) q[1];
rx(3.2160269112858204) q[2];
rz(0.10450470183181701) q[2];
rx(0.035210752084844144) q[3];
rz(0.5521266912129031) q[3];
rx(3.1589155728446747) 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": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIZI",
"IIIIZIIZ",
"IIIIZZII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIIIZIII",
"IIIZIIZI",
"IIZIIZII",
"IIZIZIII",
"IZIIIZII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-2,
-2,
-1,
0,
-0.5,
0
] | 0.981433 | [
3.1338107774861212,
0.39690572867569274,
3.0772405808992582,
0.11150791406859023,
3.2160269112858204,
0.10450470183181701,
0.035210752084844144,
0.5521266912129031,
3.1589155728446747,
-0.7808247784889266,
0.16862306952184902,
-0.46708530680348936,
3.1327291297770765,
-0.040212016942459794... | {
"n_parameters": 24,
"n_qubits": 12,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 21 |
7066736891046291838 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [0, 1, 5], [2, 4, 5], [0, 2, 3, 4, 6], [1, 3, 4, 6], [0, 1, 2, 4, 6], [0, 1, 3, 4]]} | {"states": [78, 79], "expectation_value": -0.6304371665594062, "params": [[-0.24830000000000002], [0.2582]], "bitstrings": ["0110001", "0110000"], "total_optimization_steps": 30, "probabilities": [0.013050961998490589, 0.013490491298386028], "optimization_time": 2.819059133529663} | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.3 * (Z(1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.8999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6500000000000001, "smallest_bitstrings": ["0110000"], "largest_eigenvalue": 6.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.04747401539446966) q[2];
cx q[3], q[2];
h q[4];
h q[5];
cx q[3], q[5];
rz(-0.019606836257023995) q[5];
cx q[3], q[5];
cx q[2], q[5];
cx q[3], q[0];
rz(0.024171652664558868) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} | [
"IIIZZII",
"IZIZIII",
"IZIIZII",
"IIIZIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIIZIZI",
"IIIIZZI",
"IZIIIZI",
"IIIIIZZ",
"IIZZIII",
"IIZIZII",
"IZZIIII",
"IIZIIIZ",
"IIZIIZI",
"ZIIZIII",
"ZIIIZII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"IIIZIII",
"IIIIZII",
"IZIIIII",
"IIIIIIZ",
"III... | [
0.21666666666666667,
0.16666666666666666,
0.3333333333333333,
0.13333333333333333,
0.1,
0.16666666666666666,
0.16666666666666666,
0.05,
0.16666666666666666,
0.3,
0.21666666666666667,
0.26666666666666666,
0.16666666666666666,
0.18333333333333335,
0.21666666666666667,
0.13333333333333333... | 0.970664 | [
-0.04747401539446966,
-0.019606836257023995,
-3.143046880369851,
0.024171652664558868,
0.09354816970267334,
0.08535225326681185,
-2.5448470230225855,
-0.01940269677042647,
0.016379197866975843,
-1.5329663298937348,
-1.6473464743346684,
1.6808554992712532,
1.251846582464058,
-1.563917769365... | {
"n_parameters": 16,
"n_qubits": 7,
"optimal_eigenvalue": -1.8999999999999995,
"target_ratio": 0.97,
"target_value": -1.8429999999999995
} | 84 |
38d3fa2976b5708749ef569b176bf86a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 6, "so... | {"states": [15, 1], "expectation_value": -0.8073552157058876, "params": [[-0.029300000000000003, 0.0161, 0.053700000000000005, 0.0738], [0.0533, 0.0328, -0.0264, -0.0512]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.04253719856844824, 0.0452557093560412], "optimization_time": ... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -2.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.75 * Z(3) + -0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11110"], "largest_eigenvalue": 8.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.7141458160811518) q[0];
cx q[2], q[0];
h q[3];
cx q[2], q[3];
rz(-0.01315480843248699) q[3];
cx q[2], q[3];
cx q[3], q[1];
rz(-0.0022509507312383115) q[1];
cx q[3], q[1];
rz(-1.5662694889347684) q[1];
rx(-1.5304551994702145) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IIZIZ",
"IZZII",
"IZIZI",
"ZIZII",
"ZIIIZ",
"IIZII",
"IIIIZ",
"IZIII",
"IIIZI",
"ZIIII"
] | [
-0.75,
-1.5,
-2.75,
-0.5,
1,
-0.75,
-0.25,
0.75,
-0.25,
0.5
] | 0.778372 | [
-0.7141458160811518,
-0.01315480843248699,
-0.0022509507312383115,
-0.004005947291836061,
0.00012759544633615102,
-1.5662694889347684,
-1.5704146898700868,
1.5707542138294266,
-1.5304551994702145
] | {
"n_parameters": 9,
"n_qubits": 5,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 260 |
27c2ca9f9af00d2d9b173e5cb28c53de | 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": 4, "target": 5}, {"source": 6, "target": 7}]} | {"states": [127, 126], "expectation_value": -7.981222481466071, "params": [[[-0.2028, 3.1624000000000003], [-0.0027, -0.0194], [0.0029000000000000002, 0.0028], [0.0024000000000000002, -0.0029000000000000002], [0.0026000000000000003, 0.0026000000000000003], [1.5977000000000001, 0.0025], [-0.0025, -0.0024000000000000002]... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["0000001"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
ry(-0.03869606658740406) q[0];
ry(0.03978458010740969) q[1];
ry(-0.010803760673831174) q[2];
ry(0.021078481120590215) q[3];
ry(0.0013067062946744389) q[4];
ry(2.30210040803249) q[5];
ry(0.042975049586195635) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIZZII",
"IIZZIII",
"IIZIZII",
"IZIZIII",
"IZZIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIZIII",
"IIIIZII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-1,
-1.5,
-2,
0.5,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.975377 | [
-0.03869606658740406,
0.03978458010740969,
-0.010803760673831174,
0.021078481120590215,
0.0013067062946744389,
2.30210040803249,
0.042975049586195635,
3.1354621450648774,
0.010327183876036709,
0.17445786871451935,
0.06098780644932919,
-0.016101439509209475,
-0.05402329035690706
] | {
"n_parameters": 13,
"n_qubits": 7,
"optimal_eigenvalue": -8.5,
"target_ratio": 0.97,
"target_value": -8.245
} | 11 |
1488d8cf8514de14dc21aa1b6b5c22ab | 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": 7}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 2, "source":... | {"states": [1280, 1284], "expectation_value": -12.60820691555069, "params": [-0.0015, 0.0014, 0.17, 0.2094, 0.0016, 0.0039000000000000003, 0.3921, 0.3876, -0.0022, 0.006900000000000001, -0.0001, 0.006500000000000001, 0.004, -0.0002, 0.0055000000000000005, -0.0033, 0.0015, -0.0007, -0.2306, -0.23120000000000002, 0.0097,... | -0.25 * (Z(0) @ Z(9)) + -0.5 * (Z(2) @ Z(9)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(9)) + 1.25 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.25 * (Z(7) @ Z(6)) + -0.75 * (Z(8) @ Z(9)) + -1.25 * (Z(8... | 14 | 12 | 4 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["101011111011", "101011111001"], "largest_eigenvalue": 14.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.038802304427497346) q[0];
rz(pi/2) q[0];
ry(0.022804269371240846) q[1];
ry(-0.15565231989293704) q[2];
ry(0.3513960676645956) q[3];
ry(0.16297371378520265) q[4];
ry(-0.11636948938142584) q[5];
ry(0.11791829247592575) q[6];
ry(-0.23717224231839298) q[7];
ry(0.0802... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IIZIIIIIIIIZ",
"IIZIIIIIIZII",
"IIIIIIIIIZIZ",
"IIIIIIIIIZZI",
"IIZIIIIIZIII",
"IIIIIIIIZIIZ",
"IIIIIIIIZIZI",
"IIIIIIIZIZII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIZIII",
"IIIIZZIIIIII",
"IIZZIIIIIIII",
"IIIZIIIIIZII",
"IIIZIZIIIIII",
"IZZIIIIIIIII",
"IZIIIIIIIZII",
"IZIIIZIII... | [
-0.25,
-0.5,
-0.75,
-0.5,
-0.75,
1.25,
-0.75,
-0.75,
-0.5,
-0.75,
-0.25,
-1.25,
-0.75,
-1.25,
-0.75,
-0.25,
-0.5,
-0.25,
-0.5,
-0.5,
-0.5,
1.5,
-0.25,
-0.5,
1.25,
-0.5,
-0.75,
-0.5,
0.25,
-0.25,
-1.25,
0.5,
0.5
] | 0.971847 | [
-0.038802304427497346,
0.022804269371240846,
-0.15565231989293704,
0.3513960676645956,
0.16297371378520265,
-0.11636948938142584,
0.11791829247592575,
-0.23717224231839298,
0.08020050909627167,
-0.34602874846742504,
-0.2673004698722899,
0.13896924777497938,
0.22430179103704845,
0.873322400... | {
"n_parameters": 170,
"n_qubits": 12,
"optimal_eigenvalue": -13,
"target_ratio": 0.97,
"target_value": -12.61
} | 18 |
bf3ec5b79f8955f472cb6ac1b88c1910 | 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": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.011857276656371825, "params": [[0.017], [-0.0245]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.007929822301693224, 0.007943044010018833], "optimization_time": 1.6865870952606201} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.25 * Z(6) + 0.5 * Z(1) + -0.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 4.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.030506047325823155) q[0];
h q[1];
ry(0.9626531012769405) q[1];
h q[2];
ry(0.7812508056207816) q[2];
h q[3];
ry(0.7812508056207816) q[3];
h q[4];
cx q[4], q[3];
ry(-0.7812508056207816) q[3];
cx q[4], q[3];
cx q[3], q[1];
ry(-0.9626531012769405) 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;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(x0)... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIZIIIZ",
"ZIZIIII",
"ZIIIIIZ",
"IIZIIZI",
"IIZIZII",
"IIIIZZI",
"IIZZIII",
"IIIZIZI",
"IIIZZII",
"IZZIIII",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"ZIIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IZIIIII"
] | [
-0.25,
-0.25,
0.5,
-0.75,
-0.5,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
-0.5,
-0.5,
-0.25,
-0.25,
0.5,
-0.25,
0.5,
0.25
] | 0.951722 | [
1.5625016112415633,
1.925306202553881,
1.2541936550988508,
1.4110912127349848,
-0.06101209465164631,
-1.7685038255782743,
-1.804348101458756,
1.9589904075550268,
-1.8509833662241,
0.03816537342584572,
-1.3333242559645757,
0.9913171017473899,
-0.01566841648661444,
0.1802021332140572,
2.98... | {
"n_parameters": 40,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 500 |
3004355c8615a6969336e2d6fce36811 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1859, 835], "expectation_value": -93.43421012035176, "params": [0.22210000000000002, 0.21680000000000002, 0.5001, 0.4978, 0.4882, 0.49350000000000005, 0.24020000000000002, 0.2215, 0.49150000000000005, 0.4929, 0.09230000000000001, 0.0869, -0.0005, -0.0023, 0.014400000000000001, 0.0023, 0.0901, 0.0853, 0.4925... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(3)) + 6.5 * (Z(10) @ Z(9)) + 6.5 * (Z(10) @ Z(8)) + 7.5 * Z(0) + 8.5 * Z(1) + 6.0 * Z(2) + 5.0 * Z(3) + 1... | 14 | 11 | 3 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.0, "smallest_bitstrings": ["10010111100"], "largest_eigenvalue": 165.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.21499906551039377) q[0];
ry(0.9243647732108831) q[1];
ry(1.4943287245062826) q[2];
ry(-0.5059277039667162) q[3];
ry(0.6918105534469701) q[4];
ry(0.3653308060415155) q[5];
ry(0.10606528482726885) q[6];
ry(0.8672665540919199) q[7];
ry(-0.19887503195263628) q[8];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIZZII",
"IIIIIIZIIIZ",
"IIIIIZIIIZI",
"IIIIIZZIIII",
"IIIZIIIIZII",
"IZIIIIIIIIZ",
"IZIIIIZIIII",
"IZZIIIIIIII",
"ZIIIIIIZIII",
"ZZIIIIIIIII",
"ZIZIIIIIIII",
"IIIIIIIIIIZ",
"IIIIIIIIIZI",
"IIIIIIIIZII",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
7.5,
8.5,
6,
5,
16.5,
2.5,
-2,
19,
0.5,
13.5,
-10
] | 0.973382 | [
-0.21499906551039377,
0.9243647732108831,
1.4943287245062826,
-0.5059277039667162,
0.6918105534469701,
0.3653308060415155,
0.10606528482726885,
0.8672665540919199,
-0.19887503195263628,
1.0784191733619877,
0.9228959371614691,
0.036438787468490386,
0.0595290860408816,
0.00019052188531400172... | {
"n_parameters": 86,
"n_qubits": 11,
"optimal_eigenvalue": -112,
"target_ratio": 0.97,
"target_value": -108.64
} | 109 |
0ae9b6f2b61290137ab22e2dafb0c164 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [86, 90], "expectation_value": -1.7078306821951004, "params": null, "bitstrings": ["0101001", "0100101"], "total_optimization_steps": 54, "probabilities": [0.1005365462435313, 0.7008987205575532], "optimization_time": 77.76841711997986} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -1.0, "smallest_bitstrings": ["1000011", "0111000", "1010010", "0101100", "0101001", "0010110", "1100001", "0100110", "0100101", "1000110", "0011010"], "largest_eige... | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
ry(-2.877107649955667) q[0];
rz(-pi) q[0];
ry(-0.05357145502017478) q[1];
rz(-pi) q[1];
h q[2];
ry(1.2987883161683555) q[2];
ry(-0.03652883594563631) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.008100928029173525) q[3];
cx q[2], q[3];
ry(-0.03652883594563631) q[4];
rz(-pi) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.3016) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIZIIIZ",
"IIZZIII",
"IIZZIIZ",
"IZIZIII",
"ZIIZIII",
"ZZIIIII",
"ZZIZIII",
"IZIIIZI",
"IIZIZII",
"ZIIIZII",
"ZIZIIII",
"ZIZIZII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.25,
0.25,
0.25,
-0.25,
0.5,
0.25,
0.25,
0.25,
-0.25,
0,
-0.25,
0,
0,
0,
-0.25,
0
] | 0.99193 | [
-1.547794302812402,
-1.5261665628200867,
1.2987883161683555,
-0.01620185605834705,
0.015046013984830048,
0.20950853127499908,
0.061138862075359936
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
8abcecb9be692ba9d31a27398366ffa4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 16.689149618148804} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["1111110"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-1.5490827494225263) q[0];
rz(-pi) q[1];
ry(-0.28233305796915187) q[1];
h q[2];
ry(-1.5490827494225263) q[2];
h q[3];
ry(-1.5490827494225263) q[3];
h q[4];
ry(-1.5490827494225263) q[4];
h q[5];
ry(-1.5490827494225263) q[5];
h q[6];
ry(1.5893740482243686) q[6]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIIZ",
"IIZIZII",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIIZ",
"ZIIZIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZIIIIII"
] | [
-0.25,
-0.5,
-0.5,
-0.5,
-0.25,
-0.25,
-0.25,
-0.5,
-0.5,
-0.75,
-0.75,
-0.75,
2,
-0.25,
0.75,
-0.25,
-1,
-0.5,
-0.5,
-0.25,
1.75
] | 0.997733 | [
1.5893740482243686,
-1.5490827494225263,
-1.8450825844559562,
-0.01609360061618495
] | {
"n_parameters": 4,
"n_qubits": 7,
"optimal_eigenvalue": -11,
"target_ratio": 0.97,
"target_value": -10.67
} | 1 |
2520070048618548037 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 3, 4, 5, 6, 7, 8, 9, 10], [1, 3, 4, 7, 8, 9, 11], [10, 11], [0, 3, 4, 6, 7, 8, 11], [0, 1, 2, 3, 5, 6, 8, 9, 11], [0, 1, 2, 3, 4, 5, 6, 7, 9]]} | {"states": [2813, 2781], "expectation_value": -1.33495575183185, "params": [1.6876, -0.1058, 0.8791, 0.0067, 0.684, -0.7859, 0.5532, 0.0006000000000000001, 1.6856, -0.0495, 1.3562, 0.0098, 0.7525000000000001, -0.7671, 0.5473, 0.0088, 1.6877, -0.0366, 1.3549, 0.0086, 1.6881000000000002, -0.0477, 1.3549, 0.0008, 1.4105, ... | 0.03888888888888889 * (Z(0) @ Z(2)) + 0.03888888888888889 * (Z(3) @ Z(2)) + 0.0626984126984127 * (Z(3) @ Z(0)) + 0.025 * (Z(4) @ Z(2)) + 0.04880952380952381 * (Z(4) @ Z(0)) + 0.07261904761904761 * (Z(4) @ Z(3)) + 0.03888888888888889 * (Z(5) @ Z(2)) + 0.03888888888888889 * (Z(5) @ Z(0)) + 0.03888888888888889 * (Z(5) @ Z... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.3809523809523814, -1.3809523809523814, -1.3809523809523814, -1.3809523809523814, -1.3809523809523814, -1.3809523809523814], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.380952380952381, "smallest_bitstrings": ["010100100010", "110000001010", "110010000010", "110000010010"... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.8821946401816887) q[0];
rz(0.14834547802532239) q[0];
rx(0.4440202939031105) q[1];
rz(-0.6927531609486977) q[1];
rx(1.7740667517022373) q[2];
rz(0.07208769097412615) q[2];
rx(0.5115282970529629) q[3];
rz(-1.299677981918557) q[3];
rx(1.6698750288502997) q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZIZ",
"IIIIIIIIZZII",
"IIIIIIIIZIIZ",
"IIIIIIIZIZII",
"IIIIIIIZIIIZ",
"IIIIIIIZZIII",
"IIIIIIZIIZII",
"IIIIIIZIIIIZ",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIIZ",
"IIIIIZIIZIII",
"IIIIIZIZIIII",
"IIIIIZZIIIII",
"IIIIZIIIIZII",
"IIIIZIIIIIIZ",
"IIIIZIIIZ... | [
0.03888888888888889,
0.03888888888888889,
0.0626984126984127,
0.025,
0.04880952380952381,
0.07261904761904761,
0.03888888888888889,
0.03888888888888889,
0.03888888888888889,
0.025,
0.03888888888888889,
0.0626984126984127,
0.0626984126984127,
0.04880952380952381,
0.03888888888888889,
0.... | 0.97123 | [
1.882194640181689,
0.16921252096889178,
0.44402029390311054,
-0.514455882018562,
1.7740667517022375,
0.09693473294164816,
0.511528297052963,
-1.184264998021627,
1.6698750288503,
-0.2059898058494728,
1.8929361450499742,
-0.13361578113591732,
0.8096709239911198,
-0.4147678901907599,
1.8430... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -1.3809523809523814,
"target_ratio": 0.97,
"target_value": -1.33952380952381
} | 61 |
64a6a8fe1cb9ef7d229e464b8e6d867d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [25, 73], "expectation_value": -4.996398057800715, "params": null, "bitstrings": ["1100110", "0110110"], "total_optimization_steps": 27, "probabilities": [0.06635227146986615, 0.9303267354068143], "optimization_time": 27.46463894844055} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -0.5 * Z(3) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0110011", "1100110", "0110110"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(-0.16841743971234358) q[0];
ry(1.2892812627798338) q[1];
ry(-0.11302438152906613) q[2];
ry(1.6502732747739643) q[3];
ry(0.9083430137360973) q[4];
ry(1.790089806621845) q[5];
ry(1.7807994336060335) q[6];
ry(0.5284374924457896) q[7];
ry(0.9772345018275379) q[8];
ry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIIIZIZ",
"IZIIZII",
"IZIIIIZ",
"IZIZIII",
"IIIZIZI",
"IIZIZII",
"IZZIIII",
"IIZIIZI",
"ZZIIIII",
"ZIIIIZI",
"ZIZIIII",
"IIIIZII",
"IIIIIIZ",
"IZIIIII",
"IIIZIII",
"IIIIIZI",
"IIZIIII",
"ZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-0.5,
-2,
-0.5,
-1,
-1.5,
-1
] | 0.975954 | [
-0.16841743971234358,
1.2892812627798338,
-0.11302438152906613,
1.6502732747739643,
0.9083430137360973,
1.790089806621845,
1.7807994336060335,
0.5284374924457896,
0.9772345018275379,
-0.030382814018180833,
0.8033327363866123,
0.030307390735139814,
1.1224050936469687,
-0.13885941199831134,
... | {
"n_parameters": 33,
"n_qubits": 11,
"optimal_eigenvalue": -3.4375,
"target_ratio": 0.97,
"target_value": -3.334375
} | 33 |
15e35ae217d15e40c149745d453d2b3f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [187, 179], "expectation_value": -105.21863157451423, "params": [0.0022, 0.0006000000000000001, 0.0021000000000000003, 0.0024000000000000002, 3.1462000000000003, 0.005200000000000001, -0.0025, 0.006500000000000001, 3.1454, 0.00030000000000000003, 3.1463, 0.0077, 1.4808000000000001, 0.0049, 0.002, 0.002400000... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(4)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(0) @ Z(5)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 6.0 * (Z(9) @ Z(4)) + 6.0 * (Z(9) @ Z(6)) + 6.0 * (Z(9) ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["1101001100"], "largest_eigenvalue": 206.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rx(-0.08447122774708139) q[0];
rz(0.058551344586552645) q[0];
rx(0.051072696053842584) q[1];
rz(-0.2655188974593448) q[1];
rx(3.1118929671808853) q[2];
rz(0.0049418876287947305) q[2];
rx(-0.1591603480715639) q[3];
rz(0.16009133761656477) q[3];
rx(3.222933128058901) 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], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZI",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IIIIZIIIIZ",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIZIIIIII",
"IZZIIIIIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIZIIIIII",
"ZZIIIIIIII",
"IIIIIIIZII",
"IIIIIIIIZI",
"IIIIIZIIII",
"IIIIIIZIII",
"IIIZIIIIII"... | [
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
6,
25,
-3,
27,
-4,
22,
5.5,
-2.5,
28,
-1.5,
20
] | 0.971671 | [
-0.08447122774708139,
-0.02840768182898096,
0.051072696053842584,
-0.2655188974593448,
3.1118929671808853,
0.0049418876287947305,
-0.1591603480715639,
0.16009133761656477,
3.222933128058901,
0.06281762592133774,
3.1912362205805427,
0.21788753337600136,
0.8742649406233051,
-0.00909383346545... | {
"n_parameters": 29,
"n_qubits": 10,
"optimal_eigenvalue": -112.5,
"target_ratio": 0.97,
"target_value": -109.125
} | 5 |
39cc9c4f755324c5b5e65a794333a058 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [42581, 22954], "expectation_value": -1.999475499635191, "params": [[3.109], [-0.39540000000000003]], "bitstrings": ["0101100110101010", "1010011001010101"], "total_optimization_steps": 320, "probabilities": [0.003906970358633658, 0.00390697035863366], "optimization_time": 142.1749713420868} | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000390625 * (Z(4) @ Z(0)) + 0.000390625 * (Z(4) @ Z(2)) + 0.000390625 * (Z(5) @ Z(1)) + 0.000390625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009765625 * (Z(6) @ Z(0)) + -0.0009765625 * (... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021874999999969], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0218749999999366, "smallest_bitstrings": ["1010011001010101"], "largest_eigenvalue": 2.0175781249999645} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(-3.0643612484561555) q[0];
rz(-1.1959162924291569) q[0];
rx(0.07820040081106856) q[1];
rz(0.11372760631230205) q[1];
rx(3.0604664354964335) q[2];
rz(-1.186557183050084) q[2];
rx(0.01993652762572683) q[3];
rz(-0.3862798082036578) q[3];
rx(0.16436469595105285) q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"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,
-0.0011718750000000002,
-0.0011718750000000002,
0.25,
0.000390625,
0.000390625,
0.000390625,
0.000390625,
0.25,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
-0.0009765625,
0.25,
0.0001953125,
0.0001953125,
0.0001953125,
0.00029296875000000004... | 0.978311 | [
3.218824058723431,
-0.8493894038514929,
0.07820040081106856,
0.44541111478902684,
3.0604664354964335,
-0.416836531206233,
0.019936527625726827,
-0.17786154260054135,
0.1643646959510529,
-3.0643205972157634,
3.207855018166434,
-2.7101877554036853,
3.5142774849156004,
1.027117206017268,
-0... | {
"n_parameters": 44,
"n_qubits": 16,
"optimal_eigenvalue": -2.021874999999967,
"target_ratio": 0.97,
"target_value": -1.9612187499999678
} | 83 |
dc8ac5f82febba9dcace181eb5c76eb3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [102, 58], "expectation_value": -0.11429860506430278, "params": [[-0.0531, -0.0341], [0.0673, 0.0514]], "bitstrings": ["0011001", "1000101"], "total_optimization_steps": 10, "probabilities": [0.009457377910642823, 0.009457377910642824], "optimization_time": 4.395106792449951} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(1) @ Z(3) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["0011001", "1000101"], "largest_eigenvalue": 5.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.009159858931667007) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.009159858931667007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.009159858931667007) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(0.009159858931667007) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZIZ",
"IIIIZZI",
"IIIIZZZ",
"IIIZIIZ",
"IIIZIZI",
"IIZIIZI",
"IZIIIZI",
"IIZZIII",
"IZIZIII",
"IZZIIII",
"IIZZIZI",
"IZIZIZI",
"IZZIIZI",
"IZZZIII",
"IZZZIZI",
"IIZIZII",
"ZZIIIII",
"IIIIIIZ",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"ZII... | [
0.25,
0.25,
0.25,
-0.25,
0.5,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
-0.25,
0.125,
-0.25,
-0.125,
-0.125,
-0.125,
-1
] | 0.813356 | [
0.009159858931667007,
0.12494940013551502,
-0.9996743752342083,
-1.0785898614158156,
0.2672658208067165,
1.0891742212764537,
-1.2802161128055969,
0.024697662159371404,
0.6853541264808383,
-0.33614577142982505,
-0.6001841465958335,
0.46393008337570263,
0.1161236905431224,
-0.536284086667138... | {
"n_parameters": 14,
"n_qubits": 6,
"optimal_eigenvalue": -7.25,
"target_ratio": 0.97,
"target_value": -7.0325
} | 415 |
ede4c031814d4282edbbb882f9d80bed | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [127, 1023], "expectation_value": -0.8539891763327687, "params": [[0.038900000000000004], [-0.027700000000000002]], "bitstrings": ["1110000000", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0012100165527854383, 0.0012253839835189386], "optimization_time": 4.038647174835205} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(3)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + -3.0 * (Z(7) @ Z(4)) + 1.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000"], "largest_eigenvalue": 26.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
ry(0.002210067941323673) q[0];
h q[1];
ry(0.7815650216949308) q[1];
h q[2];
h q[3];
ry(0.5803954820692692) q[3];
h q[4];
ry(0.824422849627887) q[4];
h q[5];
h q[6];
ry(0.7601173351530646) q[6];
h q[7];
ry(0.30558001113885763) q[7];
cx q[5], q[7];
ry(-0.30558001... | 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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIIZZ",
"IIIIIZZIII",
"IIIIZZIIII",
"IIIIZIZIII",
"IIIZIZIIII",
"IIIZIIZIII",
"IIIZZIIIII",
"IZIIIZIIII",
"IZIIIIZIII",
"IZIIZIIIII",
"IZIZIIIIII",
"IIZIIZIIII",
"IIZIIIZIII",
"IIZIZIIIII",
"IIZZIIIIII",
"IZZIIIIIII",
"ZIIIIZIIII",
"ZIIIZIIIII"... | [
-1.5,
-1.5,
0.5,
-3,
1.5,
-3,
-2.5,
-3,
-3,
0.5,
-2.5,
-2.5,
1,
-3,
1.5,
-3.5,
-3,
0.5,
0.5,
0.5,
0.5,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
1,
-1
] | 0.965911 | [
0.6111600222777153,
1.5202346703061291,
-1.0326686193115056,
2.6289052186867083,
1.648845699255774,
1.1607909641385383,
-0.04458673080809596,
-0.08794627255969704,
-0.028609753218626435,
0.07856473153227025,
1.9564808097401407,
-1.6467412831173918,
0.029791338870897015,
0.6347489114547886,... | {
"n_parameters": 83,
"n_qubits": 10,
"optimal_eigenvalue": -32,
"target_ratio": 0.97,
"target_value": -31.04
} | 500 |
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": [170, 426], "expectation_value": -2.894135447697472, "params": [[0.5535, 1.2987, 0.0049, 0.9476, 0.163, 1.1256000000000002, -0.0027, 1.0885, -0.0033], [0.009600000000000001, 0.5228, -0.0025, 1.236, 0.0024000000000000002, 0.9157000000000001, -0.0258, 1.0148000000000001, -0.003], [1.2967, 1.2952000000000001, -... | 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)... | 10 | 9 | 2 | {"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] 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",
"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 |
c3bf44cd77c1dba6224f98be8925cc65 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [1788, 1791], "expectation_value": -14.457016564494875, "params": null, "bitstrings": ["00100000011", "00100000000"], "total_optimization_steps": 100, "probabilities": [0.13308922677479856, 0.4355953945921221], "optimization_time": 181.82245445251465} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["00100000000"], "largest_eigenvalue": 17.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.05211581626721998) q[0];
rz(-2.620076068514015) q[0];
rx(-0.4434268334138529) q[1];
rz(1.8566829662716167) q[1];
rx(0.2877464366082255) q[2];
rz(-1.4225812227780814) q[2];
rx(-0.3480326877871256) q[3];
rz(-1.621441461867688) q[3];
rx(-0.5998495568235529) q[4];
rz... | null | {"node": 11} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... | [
"IIIIIIIIIZZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZZIII",
"IIIIZZIIIII",
"IIIZZIIIIII",
"IIIZIZIIIII",
"IIZIZIIIIII",
"IIZIIZIIIII",
"IIZZIIIIIII",
"ZZIIIIIIIII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIIIZIII",
"IIIIIIZIIII",
"IIIIZIIIIII",
"IIIIIZIII... | [
-2,
0.5,
-2,
0.5,
-2,
0.5,
-2,
1,
-2,
-2,
-2,
-2,
-1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.971088 | [
-0.05211581626721997,
2.0923129118706747,
-0.4434268334138529,
0.2858866394767198,
0.2877464366082256,
3.289807757606609,
-0.34803268778712565,
3.0909475185170017,
-0.599849556823553,
2.2466080202941656,
3.0276724181155688,
0.6610168502241384,
3.164989348506078,
1.506043597769455,
-0.147... | {
"n_parameters": 54,
"n_qubits": 11,
"optimal_eigenvalue": -20,
"target_ratio": 0.97,
"target_value": -19.4
} | 454 |
a6da0588e4f06076b5c2f06ef98c16c3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, ... | {"states": [115, 109], "expectation_value": -21.74939019737022, "params": [[0.0297, 0.007500000000000001, -0.0001], [-0.061900000000000004, -0.0555, -0.060000000000000005]], "bitstrings": ["10001100", "10010010"], "total_optimization_steps": 10, "probabilities": [0.011676998358793366, 0.014177798858805378], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 9.0 * Z(3) + 12... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["10010010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.6893829270649235) q[0];
rz(-0.15246847792251517) q[0];
rx(0.8054746318133343) q[1];
rz(-0.1838163856781594) q[1];
rx(0.4051055585965716) q[2];
rz(-0.22350801436726764) q[2];
rx(0.0026468023417618863) q[3];
rz(0.4052824277792104) q[3];
rx(-0.3718109169788402) 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", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZIIZI",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIZIIII",
"IZZIIIII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
11,
5,
13,
9,
12.5,
16,
12.5,
8
] | 0.983472 | [
0.6893829270649237,
-0.15421740938566555,
0.8054746318133343,
-0.21500998908504157,
0.40510555859657166,
-0.1561534392208339,
0.0026468023417618863,
0.26630454616751786,
-0.37181091697884017,
-0.029580537836861695,
-0.013845030580932005,
0.086408608200701,
0.9631530342970905,
0.09314220419... | {
"n_parameters": 69,
"n_qubits": 7,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 12 |
452721255938076845 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [5, 7], [0, 7], [2, 3], [0, 4], [2, 6]]} | {"states": [214, 228], "expectation_value": -0.02822121635584538, "params": [[0.0539], [-0.0439]], "bitstrings": ["00101001", "00011011"], "total_optimization_steps": 10, "probabilities": [0.0041305922993115606, 0.0041305922993115606], "optimization_time": 0.6008923053741455} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["11100100", "00011011", "11010110", "00101001"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.9427441083387836) q[2];
cx q[3], q[2];
rz(1.535581617417847e-08) q[3];
rx(-0.7853981452849917) q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[6];
rz(0.9427441083387836) q[6];
cx q[2], q[6];
rz(1.535581617417847e-08) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[3]... | null | {"circuits": [], "gradients": []} | [
"ZIIIIIZI",
"ZIZIIIII",
"ZIIIIIIZ",
"IIIIZZII",
"IIIZIIIZ",
"IZIIIZII",
"ZIIIIIII",
"IIIIIIZI",
"IIZIIIII",
"IIIIIIIZ",
"IIIIZIII",
"IIIIIZII",
"IIIZIIII",
"IZIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0,
0
] | 0.565477 | [
0.9427441083387836,
1.5355816106721257e-8,
-0.7853981452849917
] | {
"n_parameters": 3,
"n_qubits": 8,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 102 |
d2e3f71e5c020057da0dd1812bdf6517 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 15, "source": 1, "targe... | {"states": [62, 30], "expectation_value": -22.578285716631957, "params": [[-0.0436, -0.0089, 0.006900000000000001], [0.0811, 0.0746, 0.068]], "bitstrings": ["000001", "100001"], "total_optimization_steps": 10, "probabilities": [0.05128625842281548, 0.053501224210386694], "optimization_time": 7.018147230148315} | 2.5 * (Z(0) @ Z(1)) + 2.5 * (Z(2) @ Z(1)) + 2.5 * (Z(2) @ Z(0)) + 2.5 * (Z(3) @ Z(1)) + 2.5 * (Z(3) @ Z(0)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(5) @ Z(4)) + 13.0 * Z(1) + 8.5 * Z(0) + 14.0 * Z(2) + 12.5 * Z(3) + 1... | 1 | 6 | 3 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.0, "smallest_bitstrings": ["100001"], "largest_eigenvalue": 100.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
ry(1.1661276350304126) q[0];
rz(0.1368317091350482) q[0];
ry(0.04120953092979138) q[1];
rz(0.6237278116787298) q[1];
cz q[1], q[0];
ry(0.8639209804903288) q[0];
rz(-0.20514548926058004) q[0];
ry(0.1701074616062198) q[1];
ry(0.11262869094573309) q[2];
rz(0.3181473576708... | OPENQASM 3.0;
include "stdgates.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\": 4}"} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
2.5,
13,
8.5,
14,
12.5,
13.5,
8.5
] | 0.975208 | [
1.1661276350304126,
0.1368317091350482,
0.04120953092979138,
0.6237278116787298,
0.11262869094573309,
0.3181473576708103,
0.734978694415438,
-0.2651028550205645,
-0.11298443044296277,
-0.5003240831397697,
0.31670140934387114,
0.2559084340847741,
0.0720191758938528,
0.2177008887266607,
0.... | {
"n_parameters": 181,
"n_qubits": 16,
"optimal_eigenvalue": -13.999999999999932,
"target_ratio": 0.97,
"target_value": -13.579999999999934
} | 75 |
8ccb61531a0518dab46daa7987f55ae4 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [448, 455], "expectation_value": -16.643804096443752, "params": null, "bitstrings": ["000111111", "000111000"], "total_optimization_steps": 100, "probabilities": [0.12433490160954146, 0.5532257897192379], "optimization_time": 130.24446082115173} | -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)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"], "largest_eigenvalue": 10.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(0.996593178178558) q[0];
h q[1];
h q[2];
ry(0.5888832353507985) q[2];
cx q[1], q[2];
ry(-0.5888832353507985) q[2];
cx q[1], q[2];
cx q[2], q[0];
ry(-0.996593178178558) q[0];
cx q[2], q[0];
ry(-0.6875011369209832) q[1];
cx q[0], q[1];
ry(0.6875011369209832) q[... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"ZIZIIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIIIZII",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IZIIIIIII",
"IIZIIIIII",
"ZIIIIIIII"
] | [
-1.5,
-1.5,
-1.5,
-2,
1,
-2,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5
] | 0.959988 | [
-1.573475623927345,
-1.5745368026595388,
1.177766470701597,
1.993186356357116,
-1.3750022738419665,
0.7869126081971946,
-0.26281594791650864,
-0.7899417559689463,
-0.024631791748175664,
-0.08767859512836484,
2.4583506114253013,
0.020494138931016335,
-0.013105036148354052,
-0.01474806033721... | {
"n_parameters": 28,
"n_qubits": 9,
"optimal_eigenvalue": -19.5,
"target_ratio": 0.97,
"target_value": -18.915
} | 500 |
4e2f70adf965c859c016ba7845e205dc | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [511, 447], "expectation_value": -10.993560753888882, "params": [[[0.0022, 0.0057], [0.0026000000000000003, -0.002], [0.0032, 0.002], [0.8056000000000001, 0.0032], [0.0029000000000000002, 0.0031000000000000003], [0.0029000000000000002, 0.0021000000000000003], [0.0021000000000000003, 0.0025], [-0.0016, -0.003... | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(7) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["1001000000"], "largest_eigenvalue": 13.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(-0.08209464428895492) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(-8.395320764917761e-05) q[2];
cx q[3], q[2];
rz(1.5705642878294785) q[3];
rx(1.573842448868029) q[3];
h q[4];
h q[5];
h q[6];
cx q[0], q[6];
rz(-8.39532076491... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} | [
"IIIIIIZIIZ",
"IIIZIIIIIZ",
"IIIZIIIIZI",
"IIIIIIZZII",
"IIIIIIIZZI",
"IIZIIIIIZI",
"IIIIZIIIZI",
"IIIIZIIZII",
"IIIZIZIIII",
"IIIIIZIIZI",
"IIIIIZIZII",
"IIZIIZIIII",
"ZIIIIIIIIZ",
"ZIIZIIIIII",
"ZIIIZIIIII",
"IZIZIIIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZZIIIIIII",
"IIIIIIZIII"... | [
-0.5,
-0.75,
-0.25,
-0.75,
-0.75,
-0.25,
-0.75,
-0.5,
-0.25,
-0.75,
-0.25,
-0.5,
1.5,
-0.75,
-0.75,
-1.5,
-0.75,
-0.25,
-0.25,
-1.25,
-0.25,
0,
-1,
0,
-0.5,
1,
1.25,
0,
0.75
] | 0.839412 | [
-0.08209464428895492,
-0.00008395320764917761,
0.06986880025343446,
0.0030399335915787078,
0.00008626210937084866,
1.5705642878294783,
-1.5708101769120453,
-1.5708432019674272,
-1.5707543359281622,
-1.5707900060150517,
-1.5708295827358247,
1.5738424488680292
] | {
"n_parameters": 12,
"n_qubits": 10,
"optimal_eigenvalue": -12,
"target_ratio": 0.97,
"target_value": -11.64
} | 313 |
347cd23786ada5a7ec96f3799dd0d8dc | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [118, 117], "expectation_value": -13.080426710873386, "params": [[0.0298, 0.021400000000000002, -0.0024000000000000002, 0.0165], [-0.0344, -0.0378, -0.0183, -0.0233]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.009552309437378479, 0.012500614786396242], "optim... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"], "largest_eigenvalue": 135.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rx(0.7996058083707251) q[0];
rz(-0.13258950846490603) q[0];
rx(-0.04589737538281516) q[1];
rz(0.1799801397254761) q[1];
rx(0.16186570142550433) q[2];
rz(0.3133290356743821) q[2];
rx(0.8227815263736653) q[3];
rz(0.05776948433549922) q[3];
rx(0.7161871771895253) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIZZII",
"IIIZIIZI",
"IIZIIZII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIIIZII",
"ZIZIIIII",
"ZZIIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
5.5,
4.5,
18,
13.5,
2.5,
16.5,
9,
13.5
] | 0.971014 | [
0.7996058083707254,
0.006182936667641672,
-0.04589737538281516,
0.22768974747763632,
0.16186570142550433,
0.396073894945569,
0.8227815263736652,
0.013998181878018726,
0.7161871771895254,
0.15083729154297,
0.03143464359904234,
0.3059757219065661,
0.640600425668681,
0.1741861116929011,
0.3... | {
"n_parameters": 79,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 8 |
0fcc1a24f94fd2a8b4a107178db6be3d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [719, 717], "expectation_value": -2.779228540884615, "params": [[[1.5730000000000002, 1.5730000000000002], [1.5723, 1.5687], [1.5728, 1.5729], [1.5727, -1.5737], [1.5728, 1.5733000000000001], [1.5685, -1.574], [1.5687, 1.5729], [1.5686, -1.3154000000000001], [1.5687, 0.0614], [1.5730000000000002, -0.98620000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110001", "0100101100", "0101110000", "0110001100", "0110000101", "1100100100", "0110010001... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003329952575220962) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.003329952575220962) q[1];
cx q[2], q[1];
h q[3];
h q[4];
h q[5];
cx q[0], q[5];
rz(0.003329952575220962) q[5];
cx q[0], q[5];
rz(0.2271403800727576) q[0];
rx(-1.5668... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIZZII",
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIZZZII",
"IIIIIIIZIZ",
"IIIIZIIIIZ",
"IIIZIIIIIZ",
"IIIIZIIZII",
"IIIZIIIZII",
"IIIZZIIIII",
"IIIIZIIZIZ",
"IIIZIIIZIZ",
"IIIZZIIIIZ",
"IIIZZIIZII",
"IIIZZIIZIZ",
"IIZIIIZIII",
"IZIIIIZIII",
"ZIIIIIZIII",
"IZZIIIIIII"... | [
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.125,
-0.5,
0.125... | 0.821768 | [
0.003329952575220962,
-1.5708316330529057,
0.2271403800727576,
-0.07902505467877949,
-1.5668304537158142,
1.5736423638586798,
-0.03548527954890518,
-1.5747194547938785,
-3.1472492563193653,
-0.4467237359589419
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 390 |
3449581185491396938 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 4, 7], [8, 2, 5, 6], [0, 1, 4, 7, 9], [4, 6], [1, 4, 5], [0, 3, 6, 7], [1, 5, 6], [0, 2, 3, 6], [1, 5, 7], [1, 3, 4, 7, 9], [1, 3, 4, 8, 9], [0, 3, 4, 5, 7], [8, 1, 6], [8, 1, 2]]} | {"states": [695, 882], "expectation_value": -1.560663549255898, "params": [[-0.2664], [0.2711]], "bitstrings": ["0101001000", "0010001101"], "total_optimization_steps": 30, "probabilities": [0.0028211453378762102, 0.0028380148503570693], "optimization_time": 5.227173805236816} | 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(4) @ Z(1)) + 0.15000000000000002 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.31666666666666665 * (Z(7) @ Z(1)) + 0.23333333333333334 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(4)) + 0.... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.3333333333333344, -3.3333333333333344], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.3000000000000003, "smallest_bitstrings": ["0010001101", "0000100110"], "largest_eigenvalue": 13.500000000000004} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-7.832165341604905e-06) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-1.6699427429060565e-06) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.10277580417143481) q[2];
cx q[0], q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(9.240509458459551e-06) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZZI",
"IIIIIIIZIZ",
"IIIIIZIIZI",
"IIIIIZIIIZ",
"IIIIIZIZII",
"IIZIIIIIZI",
"IIZIIIIIIZ",
"IIZIIIIZII",
"IIZIIZIIII",
"IZIIIIIIZI",
"IZIIIIIZII",
"IZIIIZIIII",
"IIIIZIIIZI",
"IIIIZIIIIZ",
"IIIIZIIZII",
"IIIIZZIIII",
"IIZIZIIIII",
"IZIIZIIIII",
"IIIZIIIIZI"... | [
0.1,
0.21666666666666667,
0.13333333333333333,
0.36666666666666664,
0.15000000000000002,
0.05,
0.31666666666666665,
0.23333333333333334,
0.05,
0.2,
0.3833333333333333,
0.25,
0.05,
0.5,
0.05,
0.08333333333333333,
0.21666666666666667,
0.21666666666666667,
0.08333333333333333,
0.3... | 0.9 | [
-0.000007832165341604905,
-0.0000016699427429060565,
-0.10277580417143481,
0.000009240509458459551,
-0.0000013734526041786614,
0.000007208336442681399,
-8.012637641545578e-7,
-0.000011477208115406356,
-0.000012226217930735344,
0.0000019105469213629803,
-0.000002152603495421042,
0.0000408605538... | {
"n_parameters": 26,
"n_qubits": 10,
"optimal_eigenvalue": -3.3333333333333344,
"target_ratio": 0.97,
"target_value": -3.2333333333333343
} | 500 |
4788755b9046cb997ec5043a21f8c9e6 | 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": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [366, 236], "expectation_value": -37.89171134271568, "params": null, "bitstrings": ["010010001", "100010011"], "total_optimization_steps": 100, "probabilities": [0.06937887547688923, 0.21790465421583316], "optimization_time": 183.27876377105713} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"], "largest_eigenvalue": 192.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.03403160597780367) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.03403160597780367) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.03403160597780367) q[1];
cx q[0], q[1];
h q[3];
cx q[0], q[3];
rz(-0.03403160597780367) q[3];
cx q[0], ... | 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(-9.1684) 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] = ... | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIIIZZ",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZIIIZI",
"IIIZIZIII",
"IIIZZIIII",
"IIZIIIIZI",
"IIZIIZIII",
"IIZZIIIII",
"IIZIZIIII",
"IZIIIIIZI",
"IZIIIZIII",
"IZIZIIIII",
"IZZIIIIII",
"ZIIIIIZII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"... | [
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,
4.5,
10,
5,
24.5,
22,
23,
5,
20.5,
9.5,
-4
] | 0.973244 | [
-0.03403160597780367,
-1.346127074484193,
1.576569062334897,
-1.9306515494972587,
-1.6352730170387917,
-1.6057071926812976,
-1.665909739693592,
1.224431153956964,
1.726462556839075,
1.4983459587508987
] | {
"n_parameters": 10,
"n_qubits": 9,
"optimal_eigenvalue": -98,
"target_ratio": 0.97,
"target_value": -95.06
} | 40 |
fcafdbb20200afc1c8dc4efe4b67024c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2},... | {"states": [0, 15], "expectation_value": -0.7800270309795839, "params": [[-0.0292], [0.021]], "bitstrings": ["11111111111", "11111110000"], "total_optimization_steps": 10, "probabilities": [0.0005705668390788901, 0.0005760872547706327], "optimization_time": 4.4956374168396} | -3.5 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -4.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -4.0 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + 1.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-44.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["11111110000"], "largest_eigenvalue": 37.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.5081716571655801) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.5081716571655801) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.6595376635201416) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.4023593412653803) q[3];
cx q[1], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 3} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIIZIIZI",
"IIIIIIZIIIZ",
"IIIIIIZIZII",
"IIIIIIZZIII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIIZZIIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIZIIZI... | [
-3.5,
-3.5,
-3,
-4,
1,
1,
-4,
1,
-3.5,
-3,
-3.5,
1.5,
-3,
1,
1,
1.5,
0.5,
0.5,
-2.5,
-3,
0.5,
-1.5,
0.5,
-2,
0.5,
-1.5,
-3.5,
-3,
2,
-3,
2,
-3,
-3,
0.5,
0.5,
0.5,
0.5
] | 0.517784 | [
0.5081716571655801,
0.6595376635201416,
0.4023593412653803,
0.15885141882265194,
0.1968229662213932,
0.006068384565848241,
0.5917708735716628,
1.5641321134298103,
0.015081185308220087,
0.29507881124734425,
1.0152323542358674
] | {
"n_parameters": 11,
"n_qubits": 11,
"optimal_eigenvalue": -44.5,
"target_ratio": 0.97,
"target_value": -43.165
} | 264 |
dd2cbc0832de721030b1d6a15eb211d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 0, "target": 10}, {"capacity": 4, "source":... | {"states": [2047, 1535], "expectation_value": -40.21505440665416, "params": [[[-0.013900000000000001, 0.0028], [-0.0022, -0.0033], [0.6104, -0.0017000000000000001], [-0.0059, -0.0004], [-0.0077, 0.002], [0.0013000000000000002, -0.0022], [-0.010100000000000001, -0.0021000000000000003], [0.0031000000000000003, 0.00210000... | -0.75 * (Z(0) @ Z(10)) + -0.75 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.5 * (Z(5) @ Z(10)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(1)) + -1.0 * (Z(7) @ Z(10)) + -2.75 * (Z(7) @ Z(1)) + -2.25 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-41.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.0, "smallest_bitstrings": ["101000000000"], "largest_eigenvalue": 43.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(0.05386807332732299) q[0];
ry(-0.3246551364020594) q[1];
ry(0.8830480899476494) q[2];
ry(0.08760343196632353) q[3];
ry(0.07441336486188768) q[4];
ry(0.11060215143588531) q[5];
ry(0.06235730966129646) q[6];
ry(0.10877929249539542) q[7];
ry(0.04935492130788273) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} | [
"IZIIIIIIIIIZ",
"IIIIIIIIIZIZ",
"IZIIIIIIIIZI",
"IIIIIIIIIZZI",
"IIIIIIIZIIZI",
"IZIIIIZIIIII",
"IIIIIIZIIZII",
"IIIIIIZIIIZI",
"IIIIIIZZIIII",
"IIIIIZIIIZII",
"IIIIIZIIIIZI",
"IZIIZIIIIIII",
"IIIIZIIIIIZI",
"IIIIZIIZIIII",
"IIIIZIZIIIII",
"IIZIIIIIIIZI",
"IIZIIIIZIIII",
"ZZIIIIIII... | [
-0.75,
-0.75,
-1.75,
-0.5,
-1,
-3.5,
-1.25,
-1,
-1.5,
-1.5,
-1.75,
-1,
-2.75,
-2.25,
-0.5,
-0.5,
-3,
-1.5,
-0.25,
-0.5,
-1.5,
-1.75,
-0.75,
-1.75,
-1,
-2.25,
-1.5,
1.75,
-1.75,
3.75,
-0.25,
-4.5,
2.25,
1,
-1.25,
1.25,
-4,
-0.75,
3.25,
0.7... | 0.970167 | [
0.05386807332732299,
-0.3246551364020594,
0.8830480899476494,
0.08760343196632353,
0.07441336486188768,
0.11060215143588531,
0.06235730966129646,
0.10877929249539542,
0.04935492130788273,
0.017738188681482046,
-0.031428228272181044,
3.2522352081783255,
-0.0036882605119728483,
-0.0541119684... | {
"n_parameters": 41,
"n_qubits": 12,
"optimal_eigenvalue": -41,
"target_ratio": 0.97,
"target_value": -39.769999999999996
} | 14 |
5fc8ddd9b490928efab5d46a7fda09a4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 7, "source": 0, "t... | {"states": [206, 110], "expectation_value": -13.03786388611666, "params": [[0.0403, 0.0102], [-0.0704, -0.0523]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.01089121778857732, 0.011830860496455303], "optimization_time": 2.9050469398498535} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 3.5 * Z(0) + 6.0 * Z(2) + 18.0 * Z(1) + 8.0 * Z(3) + 5.5 * Z(5) + 18.0 * Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
cx q[0], q[2];
rz(-6.126449322559573e-06) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[0], q[1];
rz(-1.5709207139058865) q[0];
rx(-1.5706906646278838) q[0];
cx q[2], q[1];
rz(-6.126449322559573e-06) q[1];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} | [
"IIIIIZIZ",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIZIII",
"IIIZIIZI",
"IIIZZIII",
"IIZZIIII",
"IZIIZIII",
"ZIIIIIZI",
"ZIIZIIII",
"ZZIIIIII",
"IIIIIIIZ",
"IIIIIZII",
"IIIIIIZI",
"IIIIZIII",
"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,
3.5,
6,
18,
8,
5.5,
18,
6,
5.5
] | 0.932203 | [
-0.000006126449322559573,
-1.570920713905886,
1.5709272473636124,
1.570710396024967,
1.5708714554051209,
-1.5707452903609194,
-1.570690664627884,
0.33096783508676,
0.06537739502227977,
-0.2576869562513256,
0.3995909898567742,
-0.2921438586432958,
0.06719963066271914,
-0.0002287731424465783... | {
"n_parameters": 28,
"n_qubits": 8,
"optimal_eigenvalue": -59,
"target_ratio": 0.97,
"target_value": -57.23
} | 500 |
5e1f1e75ba04327de43b1491321a7511 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [0, 1], "expectation_value": -11.49525576669495, "params": [0.0036000000000000003, 0.46990000000000004, 0.0027, 0.595, 0.0025, -0.5735, 0.0028, 0.4343, 0.0026000000000000003, 0.5887, 0.0024000000000000002, 0.6078, 0.0025, 0.6002000000000001, 0.8109000000000001, 0.0054, 0.0038, 0.0056, 0.0027, 0.0055000000000... | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 3 | 8 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rz(-pi) q[0];
ry(-0.28663161818796734) q[0];
h q[1];
h q[2];
ry(-1.6210146603569464) q[2];
h q[3];
ry(-1.6210146603569464) q[3];
h q[4];
ry(-1.6210146603569464) q[4];
ry(-0.2510354001517809) q[5];
rz(-pi) q[5];
h q[6];
ry(0.6181421229289458) q[6];
cx q[1], q[6];
ry(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIZIIIZ",
"ZIIIIIIZ",
"IIIIZIZI",
"IIIIZZII",
"ZIIIZIII",
"IZIIIIZI",
"ZZIIIIII",
"IIZIIZII",
"IIZZIIII",
"IIZIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIZIIII",
"ZIIIIIII",
"IIIIZIII",
"IZIIIIII",
"IIZIIIII"
] | [
-0.75,
-1.5,
-0.75,
3.25,
-0.25,
-0.5,
-0.25,
-1,
-0.5,
-0.75,
-1.5,
-1.75,
0.5,
-0.25,
-0.25,
0.75,
2.5,
-2.25,
-0.5,
-0.5
] | 0.974536 | [
1.6268721490235387,
-2.1726476528244962,
-1.6210146603569464,
-1.2411755802850961,
1.2362842458578915,
-1.0503144986838098,
-0.3427277786644807,
-0.7765492679923298,
-1.1729325369956523,
-1.0244981473774728,
0.6304394156832644,
-0.6913760511837018,
0.5549559263937737,
-0.15717069271603917
... | {
"n_parameters": 14,
"n_qubits": 8,
"optimal_eigenvalue": -16.25,
"target_ratio": 0.97,
"target_value": -15.7625
} | 15 |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [16, 1], "expectation_value": -12.904452027632477, "params": [[-0.0403, -0.0257], [0.0604, 0.0591]], "bitstrings": ["101111", "111110"], "total_optimization_steps": 10, "probabilities": [0.029615014841368973, 0.031130030542256888], "optimization_time": 4.0336573123931885} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 16 | 6 | 2 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"], "largest_eigenvalue": 120.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
rx(0.09362127717423929) q[0];
rz(0.15898723948650006) q[0];
rx(0.01271788291818901) q[1];
rz(-0.3274973128640216) q[1];
rx(-0.2979108091192296) q[2];
rz(-0.003237763520752778) q[2];
rx(-0.02397760534694167) q[3];
rz(0.10163948195161117) q[3];
rx(0.1688669766569415) q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"IIIZZI",
"IIIZIZ",
"IIZIZI",
"IIZIIZ",
"IIZZII",
"IZIIZI",
"IZIIIZ",
"IZIZII",
"IZZIII",
"ZIIIZI",
"ZIIIIZ",
"ZIIZII",
"ZIZIII",
"ZZIIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
2.75,
3,
2.75,
-13,
-13,
-13.25,
-13,
-13.25,
-12.5
] | 0.970137 | [
0.09362127717423929,
0.15898723948650006,
0.01271788291818901,
-0.3274973128640216,
-0.2979108091192296,
-0.003237763520752778,
-0.02397760534694167,
0.10163948195161117,
0.1688669766569415,
0.1069285924342987,
2.117206731621425,
0.2152560063760715
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -40,
"target_ratio": 0.97,
"target_value": -38.8
} | 5 |
-1780784873200578641 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 5, 6, 8, 9], [0, 2, 3, 4, 6], [2, 3, 5, 6, 7, 9], [0, 1, 4, 5, 7, 8], [0, 5, 6, 7], [0, 2, 3, 5, 8], [1, 5, 6, 7, 9], [1, 2, 3, 4, 5, 7, 8, 9], [2, 5, 6, 7, 8, 9], [0, 3, 6, 7, 8, 9], [0, 2, 6, 7, 8, 9], [0, 1, 2, 6, 9], [1, 3, 4, 5, 6, 7, 8]]} | {"states": [891, 859], "expectation_value": -2.488290627403603, "params": [1.582, 1.5545, 1.6336000000000002, 1.5128000000000001, -0.0005, 0.0019, 1.8030000000000002, 1.3425, 0.7180000000000001, 0.7149, 1.5784, 1.5582, 1.5917000000000001, 1.5446, -0.0043, -0.005200000000000001, 1.2338, 1.3369, 1.2627000000000002, 1.874... | 0.175 * (Z(2) @ Z(3)) + 0.11547619047619048 * (Z(4) @ Z(3)) + 0.09166666666666667 * (Z(4) @ Z(2)) + 0.1488095238095238 * (Z(5) @ Z(3)) + 0.15833333333333333 * (Z(5) @ Z(2)) + 0.0988095238095238 * (Z(5) @ Z(4)) + 0.16428571428571428 * (Z(6) @ Z(3)) + 0.2238095238095238 * (Z(6) @ Z(2)) + 0.09761904761904762 * (Z(6) @ Z(4... | 13 | 10 | 1 | {"smallest_eigenvalues": [-2.5583333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.528571428571428, "smallest_bitstrings": ["0010100100"], "largest_eigenvalue": 12.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.0019090086269798433) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(-0.018674926523986578) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.013630299976866742) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(-0.00316068763527... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZZII",
"IIIIIZZIII",
"IIIIIZIZII",
"IIIIZIZIII",
"IIIIZIIZII",
"IIIIZZIIII",
"IIIZIIZIII",
"IIIZIIIZII",
"IIIZIZIIII",
"IIIZZIIIII",
"IZIIIIZIII",
"IZIIIIIZII",
"IZIIIZIIII",
"IZIIZIIIII",
"IZIZIIIIII",
"ZIIIIIZIII",
"ZIIIIIIZII",
"ZIIIIZIIII",
"ZIIIZIIIII",
"ZIIZIIIIII"... | [
0.175,
0.11547619047619048,
0.09166666666666667,
0.1488095238095238,
0.15833333333333333,
0.0988095238095238,
0.16428571428571428,
0.2238095238095238,
0.09761904761904762,
0.2476190476190476,
0.1488095238095238,
0.15833333333333333,
0.0988095238095238,
0.18214285714285713,
0.147619047619... | 0.945778 | [
0.0019090086269798433,
-0.018674926523986578,
-0.013630299976866742,
-0.0031606876352749703,
0.006582608314967847,
0.006883770796951218,
-0.0009784973381359238,
-0.008189419910822976,
-0.00024545982673080703,
0.004582287375485388,
-2.578077480173658,
-0.03299709278636533,
0.00190186394685524... | {
"n_parameters": 43,
"n_qubits": 10,
"optimal_eigenvalue": -2.5583333333333336,
"target_ratio": 0.97,
"target_value": -2.4815833333333335
} | 500 |
6b8130ebe692df9628e386b5e0979c6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [256, 223], "expectation_value": -0.7777901129730531, "params": [[0.050100000000000006], [-0.0424]], "bitstrings": ["011111111", "100100000"], "total_optimization_steps": 10, "probabilities": [0.0024760693649285744, 0.0025500864860453203], "optimization_time": 3.188631772994995} | -1.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100100000"], "largest_eigenvalue": 19.0} | 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(6.559788928862443e-05) q[0];
cx q[3], q[0];
cx q[3], q[2];
rz(0.0006071732094547039) q[2];
cx q[3], q[2];
h q[4];
cx q[0], q[4];
rz(0.0006071732094547039) q[4];
cx q[0], q[4];
h q[5];
cx q[0], q[5];
rz(-0.000436579732551... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIIIIZIIZ",
"IIIIZIIIZ",
"IIIZIIIIZ",
"IIIZZIIII",
"IIIIZIIZI",
"IIIIIZZII",
"IIIIZIZII",
"IIIZIIZII",
"IIIIIIZZI",
"IIZIIZIII",
"IIZIZIIII",
"IIZIIIIZI",
"IIZIIIZII",
"IZIIIZIII",
"IZIIZIIII",
"IZIIIIZII",
"IZZIIIIII",
"ZIIIIIIIZ",
"ZIIIZIIII",
"ZIIZIIIII",
"ZIIIIIZII",
"... | [
-1.5,
-0.25,
-0.5,
-1.75,
-0.25,
-0.25,
-0.5,
-0.25,
-0.5,
-1,
-0.25,
-1.25,
-1.5,
-1.75,
-1,
-1.5,
-1,
2.5,
-0.75,
-0.75,
-1,
-4.5,
-0.25,
-0.25,
2.25,
-1,
4,
-0.5,
0.25,
0
] | 0.920984 | [
0.00006559788928862443,
0.0006071732094547039,
-0.00043657973255185954,
-1.3723993708486912,
0.0016630031053749938,
1.5667939678901213,
1.3985481350996867,
-0.001574725502075238,
-0.19110643729091945,
1.5813730521788851,
0.19296103726698885,
1.7097749896873955,
1.6835930808653674,
-1.37315... | {
"n_parameters": 25,
"n_qubits": 9,
"optimal_eigenvalue": -22,
"target_ratio": 0.97,
"target_value": -21.34
} | 500 |
50803b752054f0512687e537ee7368f9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [11, 52], "expectation_value": -0.10190804419081068, "params": [[0.006500000000000001, 0.047, 0.06810000000000001], [0.0182, -0.0302, -0.049100000000000005]], "bitstrings": ["110100", "001011"], "total_optimization_steps": 10, "probabilities": [0.01799350268168229, 0.01799350268168229], "optimization_time": ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-3.118963683468091) q[0];
ry(-0.017918109517936636) q[1];
rz(-pi) q[1];
h q[2];
ry(1.5232555292397325) q[2];
ry(-0.11982451051349112) q[3];
rz(-pi) q[3];
cx q[2], q[3];
ry(0.0455035030484382) q[3];
cx q[2], q[3];
cx q[2], q[0];
ry(-0.07016976767686646) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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[5], q[0... | null | {"circuits": [], "gradients": []} | [
"ZIIIIZ",
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZZII",
"ZIIIII",
"IIIIIZ",
"IZIIII",
"IIIIZI",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-0.5,
-0.5,
-0.5,
-0.5,
0
] | 0.997671 | [
-1.5523952299069044,
-1.4054683132329673,
1.5232555292397325,
-0.0910070060968764,
0.14033953535373292,
-0.02773759371322497,
-0.0009659747401112133
] | {
"n_parameters": 7,
"n_qubits": 5,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [40, 42], "expectation_value": -2.2958125944065353, "params": [[[1.6042, 0.0038], [0.0025, 0.0088], [1.6007, 0.0009000000000000001], [0.0027, 0.0055000000000000005], [1.5991, 0.0097], [0.0026000000000000003, 0.0022]]], "bitstrings": ["010111", "010101"], "total_optimization_steps": 160, "probabilities": [0.1... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"], "largest_eigenvalue": 5.25} | 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIIIZZ",
"IIIZZI",
"IIIZZZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"IZZIIZ",
"IZIZII",
"ZIIZII",
"ZZIIII",
"ZZIZII",
"IIIIIZ",
"IIIZII",
"IIIIZI",
"IIZIII",
"IZIIII",
"ZIIIII"
] | [
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,
0,
-0.75,
-0.75,
0,
-0.75
] | 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 |
dab40a2f654e93a72357d226e03c7017 | 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": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [36, 9], "expectation_value": -0.8603909838719472, "params": [[0.0694, 0.055, 0.0235], [-0.0781, -0.0533, -0.0379]], "bitstrings": ["011011", "110110"], "total_optimization_steps": 10, "probabilities": [0.02285906667086452, 0.022859066670864545], "optimization_time": 4.864539384841919} | 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(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-9.732836771679241e-09) q[0];
cx q[2], q[0];
h q[3];
h q[4];
cx q[2], q[4];
rz(-9.732836771679241e-09) q[4];
cx q[2], q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-9.732836771679241e-09) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-9.73283... | OPENQASM 3.0;
include "stdgates.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",
"ZZIIII",
"IIIZZI",
"IIZZII",
"IZZIII",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1,
-1.5,
-1,
-0.5,
-1.5
] | 0.875 | [
-9.732836771679241e-9,
1.5707963924426682,
-8.266767826270459e-8,
-1.570796288084588,
1.570796283532113
] | {
"n_parameters": 5,
"n_qubits": 6,
"optimal_eigenvalue": -4,
"target_ratio": 0.97,
"target_value": -3.88
} | 154 |
-5187214737773028613 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 5, 6, 8], [0, 1, 2, 4, 5, 6, 7, 8], [1, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 6, 7], [0, 1, 3, 4, 5, 6], [0, 2, 3, 4, 5, 6, 7, 8]]} | {"states": [238, 245], "expectation_value": -0.5871266808858563, "params": [[0.3815], [-0.3856]], "bitstrings": ["100010001", "100001010"], "total_optimization_steps": 40, "probabilities": [0.003589777227997612, 0.0035897772279976127], "optimization_time": 4.23589563369751} | 0.09880952380952379 * (Z(0) @ Z(1)) + 0.06547619047619047 * (Z(2) @ Z(1)) + 0.08333333333333331 * (Z(2) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(1)) + 0.09880952380952379 * (Z(3) @ Z(0)) + 0.06547619047619047 * (Z(3) @ Z(2)) + 0.09880952380952379 * (Z(5) @ Z(1)) + 0.09285714285714286 * (Z(5) @ Z(0)) + 0.05952380952380... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.0928571428571425, -1.0928571428571425], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0928571428571423, "smallest_bitstrings": ["100010001", "100001010"], "largest_eigenvalue": 5.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.047273020948871904) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.04300429393509442) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.052801561530199416) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(1.3788049238740048) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] ... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIIIZZI",
"IIIIIIZIZ",
"IIIIIZIZI",
"IIIIIZIIZ",
"IIIIIZZII",
"IIIZIIIZI",
"IIIZIIIIZ",
"IIIZIIZII",
"IIIZIZIII",
"IIZIIIIZI",
"IIZIIIIIZ",
"IIZIIIZII",
"IIZIIZIII",
"IIZZIIIII",
"ZIIIIIIZI",
"ZIIIIIIIZ",
"ZIIIIIZII",
"ZIIIIZIII",
"ZIIZIIIII",
"ZIZIIIIII",
"... | [
0.09880952380952379,
0.06547619047619047,
0.08333333333333331,
0.10476190476190475,
0.09880952380952379,
0.06547619047619047,
0.09880952380952379,
0.09285714285714286,
0.05952380952380952,
0.09880952380952379,
0.1226190476190476,
0.11666666666666664,
0.08333333333333331,
0.1226190476190476... | 0.925776 | [
0.047273020948871904,
0.04300429393509442,
-0.052801561530199416,
1.3788049238740048,
-0.020048750373828344,
-0.02035365135055203,
0.09560047109899644,
-0.3485781821702048,
0.0191262191705588,
1.747396761238162,
1.701818145333303,
-1.9593099533005343,
-1.1857949780583121
] | {
"n_parameters": 13,
"n_qubits": 9,
"optimal_eigenvalue": -1.0928571428571425,
"target_ratio": 0.97,
"target_value": -1.0600714285714283
} | 337 |
6366756672736815379 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [4, 5], [0, 2], [0, 1, 7], [4, 6, 7], [0, 1, 3], [0, 3, 5], [1, 4, 7], [0, 6, 7], [0, 1, 4], [1, 2, 6], [5, 6]]} | {"states": [219, 155], "expectation_value": -2.8599039276970473, "params": [1.3998000000000002, 1.3918000000000001, 0.9341, 0.9054000000000001, 0.5038, 0.42700000000000005, 1.3948, 1.4005, 1.3904, 1.3918000000000001, 0.185, 0.17950000000000002, 1.3972, 1.4006, 1.3807, 1.389, 1.1905000000000001, 0.7661, -0.4124000000000... | 0.5 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.166666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-3.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["01100100"], "largest_eigenvalue": 9.999999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(1.8465918653475706) q[0];
rz(pi/2) q[0];
ry(0.9386239742592407) q[1];
ry(-0.09222270149402316) q[2];
ry(1.4430562526700181) q[3];
ry(1.9584587078884566) q[4];
ry(-0.6640261593772535) q[5];
ry(1.554504896069409) q[6];
ry(1.3614325855627973) q[7];
cx q[7], q[0];
ry(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} | [
"ZIZIIIII",
"ZIIZIIII",
"IIZZIIII",
"ZIIIIIIZ",
"IIZIIIIZ",
"IIIZIIIZ",
"IIIIIZIZ",
"ZIIIIIZI",
"IIIZIIZI",
"IIIIIIZZ",
"IIIIIZZI",
"ZZIIIIII",
"IZZIIIII",
"IZIZIIII",
"IZIIIIIZ",
"IZIIIZII",
"IZIIIIZI",
"IIZIZIII",
"IIIIZIIZ",
"IIIIZIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIZIII... | [
0.5,
0.3333333333333333,
0.5,
0.3333333333333333,
0.16666666666666666,
0.16666666666666666,
0.5,
0.3333333333333333,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666... | 0.97649 | [
1.8465918653475706,
0.9386239742592407,
-0.09222270149402316,
1.4430562526700181,
1.9584587078884566,
-0.6640261593772535,
1.554504896069409,
1.3614325855627973,
0.5683142126360068,
0.4118538061784346,
0.14851778394104154,
0.09605094149108612,
0.2989506778168713,
1.1681920034433648,
-0.3... | {
"n_parameters": 31,
"n_qubits": 8,
"optimal_eigenvalue": -3.6666666666666665,
"target_ratio": 0.97,
"target_value": -3.5566666666666666
} | 59 |
3752093b82ed107b6f6f5e75324b3162 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 71.46758365631104} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"], "largest_eigenvalue": 6.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.3702539457556981) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.34420703924177587) q[4];
cx q[3], q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.34420703924177587) q[1];
cx q[3], q[1];
rz(0.3702539457556981) q[4];
cx q[0]... | 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(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIIIZIZI",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIIZI",
"IIZZIIII",
"IIZIIIZI",
"IIZIIZII",
"IZIIIIZI",
"IZZIIIII",
"IZIIIZII",
"IIIIZIII",
"IIIIIIIZ",
"IIIZIIII",
"IIIIIIZI",
"ZIIIIIII",
"IIZIIIII",
"IIIIIZII",
"IZIIIIII"
] | [
-0.25,
-0.5,
-0.25,
-0.5,
-0.25,
0.75,
-0.5,
-0.5,
-0.25,
-0.75,
-0.5,
-0.75,
-0.25,
1,
-0.25,
-0.75,
-0.75,
0,
0.75,
0,
0
] | 0.586958 | [
0.3702539457556981,
0.34420703924177587,
-0.6640265103139195,
0.9123099738412122,
-0.8635043435183892,
-0.1933114723087158,
0.9357521566745978
] | {
"n_parameters": 7,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 172 |
4060c6f62958c919d94369053740f9b8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [312, 314], "expectation_value": -4.530826915012632, "params": [0.4062, 0.40650000000000003, -0.0118, -0.0126, 0.1356, 0.1317, 0.4081, 0.40700000000000003, 0.3991, 0.4012, 0.4062, 0.4052, 0.1438, 0.1416, 0.4053, 0.399, -0.0135, -0.0098, 0.40080000000000005, 0.40090000000000003, -0.0132, -0.014, 0.139, 0.1353... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(6) + 0.0 * Z(0) + -2.0 * ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000101"], "largest_eigenvalue": 15.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
ry(0.22950647600686808) q[0];
rz(pi/2) q[0];
ry(0.18819245689882397) q[1];
ry(-0.1279591926294531) q[2];
ry(0.5848875638894497) q[3];
ry(1.1003758749462453) q[4];
ry(0.5360060512270126) q[5];
ry(0.08851702411976393) q[6];
ry(0.216920016100138) q[7];
ry(0.287588583441058... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIIIIIZ",
"IIZIIIIZI",
"IIIIIZIZI",
"IIIIZIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"ZIIIIZIII",
"ZIIIZIIII",
"IIIIIZZII",
"IIIIZIZII",
"ZIIIIIZII",
"IZZIIIIII",
"ZZIIIIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIIZIIII",
"IIIZIIIII",
"ZIIIIIIII",
"IIIIIIZII",
"... | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-2,
-1,
-1,
0,
-2,
-1,
-0.5
] | 0.975533 | [
0.22950647600686808,
0.18819245689882397,
-0.1279591926294531,
0.5848875638894497,
1.1003758749462453,
0.5360060512270126,
0.08851702411976393,
0.216920016100138,
0.2875885834410584,
-0.01511957931153313,
0.1098145763070886,
-0.3579607005760204,
-0.45847126693398543,
0.32887469189702545,
... | {
"n_parameters": 103,
"n_qubits": 9,
"optimal_eigenvalue": -7,
"target_ratio": 0.97,
"target_value": -6.79
} | 41 |
3669556b5012b2bd0210027af1e5ed26 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 255], "expectation_value": -1.0353948973346014, "params": [[-0.0528, -0.08370000000000001], [0.0512, 0.0728]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003788383233525752, 0.003987168307719858], "optimization_time": 3.820356845855713} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(8)) + -0.75 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["100000000"], "largest_eigenvalue": 10.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
ry(-0.03676123032734652) q[0];
h q[1];
ry(0.5071576030418723) q[1];
h q[2];
ry(1.009586282806144) q[2];
h q[3];
ry(0.772850589552062) q[3];
h q[4];
ry(1.5752266574126181) q[4];
h q[5];
cx q[5], q[1];
ry(-0.5071576030418723) q[1];
cx q[5], q[1];
cx q[1], q[3];
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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} | [
"IIZIIIIIZ",
"ZIIIIIIIZ",
"IIZIIIZII",
"ZIIIIIZII",
"IIIIIIZZI",
"IIIIIZIZI",
"IIZZIIIII",
"IIIZIIIZI",
"IZZIIIIII",
"ZZIIIIIII",
"IZIIIIZII",
"IZIIIIIZI",
"IIZIZIIII",
"IZIIZIIII",
"IIZIIIIII",
"IIIIIIIIZ",
"ZIIIIIIII",
"IIIIIIZII",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"... | [
-0.25,
0.5,
-0.5,
-0.75,
-0.75,
-1.25,
-0.5,
-1.75,
-0.25,
-1,
-1,
-0.25,
-0.25,
-0.25,
-0.75,
-0.25,
-1.25,
-0.5,
0,
0.75,
0.25,
1.25,
0.5
] | 0.940312 | [
1.5682343384209747,
1.0143152060837446,
1.545701179104124,
1.462217447312978,
0.7676117492237735,
2.019172565612288,
1.5752266574126181,
0.21327531876877884,
0.8551016235555847,
-0.07352246065469303,
-0.0005168674884650517,
-1.0684414773818585,
2.540422049369729,
-0.4045446587566448,
-0.... | {
"n_parameters": 51,
"n_qubits": 9,
"optimal_eigenvalue": -9.25,
"target_ratio": 0.97,
"target_value": -8.9725
} | 500 |
366b890edf4c144f6141ff272a73bb47 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 511], "expectation_value": -6.22916786543761, "params": [0.0021000000000000003, 1.2951000000000001, 0.0011, 1.3852, 0.2099, 0.6677000000000001, 0.1218, 0.1366, 0.5116, 0.5345, -0.3725, 0.2199, 0.5685, 0.7337, 0.059000000000000004, 1.1781000000000001, 0.5694, 0.7095, -0.24180000000000001, 1.3402, 0.671, 0... | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 6 | 10 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-3.1415925077472098) q[0];
ry(0.6308663773850823) q[0];
rz(-1.5707965074011527) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.5677918832241154) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.5677918832241154) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.71620748... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1.5,
-1.5,
0.5,
-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,
-0.5
] | 0.43388 | [
-0.5677918832241154,
0.7162074872685954,
-0.9351460324519598,
-0.15398173942813242,
-1.5707964333245203,
-0.9399299494098221
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 173 |
1851784417460130467 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1], [3, 6], [3, 4], [1, 6], [5, 6], [1, 2]]} | {"states": [42, 85], "expectation_value": -0.04875907460404645, "params": [[0.0704], [-0.0585]], "bitstrings": ["1010101", "0101010"], "total_optimization_steps": 10, "probabilities": [0.008594089539812538, 0.008594089539812538], "optimization_time": 0.4606049060821533} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1010101", "0101010"], "largest_eigenvalue": 3.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.6217712934074061) q[0];
h q[1];
h q[2];
ry(-0.20803719919675712) q[2];
cx q[1], q[2];
ry(0.20803719919675712) q[2];
cx q[1], q[2];
ry(1.4272811154678733) q[1];
cx q[1], q[0];
ry(0.6217712934074061) q[0];
cx q[1], q[0];
ry(-0.19906467481395643) q[0];
ry(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(x0) q[6];
cx q[1], q[6];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[3], q[4];
... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"ZIIIIZI",
"ZIIZIII",
"IIZZIII",
"ZZIIIII",
"IIIIZZI",
"IIIIIZI",
"IIIIIIZ",
"ZIIIIII",
"IIIZIII",
"IIZIIII",
"IZIIIII",
"IIIIZII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
0,
0,
0,
0,
0,
0
] | 0.974955 | [
-0.41607439839351423,
1.4272811154678733,
-1.2435425868148122,
-0.3386511029586883,
-0.202855002343371,
1.407404543094607,
1.274497300279742,
-0.8323829956798491,
-1.0676965863510606,
0.24318080396925412,
0.18226711229653947,
0.3997163782775889,
-0.3599445619520917,
-0.5691586021510886,
... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 19 |
474afac3a31ba487f93ea7ccb82b3637 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 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": -16.237398559117818, "params": [-0.5959, 0.1637, -0.3262, 0.1233, 0.6063000000000001, 0.24830000000000002, 0.4032, 0.9233, 0.0402, 0.6438, -0.0333, 0.8066, 0.5869, 0.4414, 0.4464, 1.2455, 0.3728, 0.2589, -0.1607, 0.5908, 0.5897, 0.6691, 0.43270000000000003, 1.2327000000000001, 0... | -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) @ ... | 6 | 8 | 3 | {"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] 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": 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 |
529e007fb284cea83bba4e890d111263 | 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": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"s... | {"states": [4094, 8191], "expectation_value": -18.541377309065023, "params": [[[-0.9383, 1.0055], [-0.005200000000000001, 1.0038], [0.0039000000000000003, 0.0014], [0.0028, 0.6753], [0.0023, 0.0021000000000000003], [0.0024000000000000002, -0.0029000000000000002], [-0.0027, -0.0026000000000000003], [0.0025, 0.5518000000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(7)) + ... | 15 | 13 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000000000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
ry(0.15237445836346078) q[0];
ry(0.18979248283746253) q[1];
ry(0.0398367628105303) q[2];
ry(-0.03113910681383067) q[3];
ry(0.07643728151376208) q[4];
ry(0.14109223611167276) q[5];
ry(0.1224359670580778) q[6];
ry(-0.3838556188386384) q[7];
ry(0.08599138263979496) q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIIZZIII",
"IIIIIIZIZIIII",
"IIIIIIZIIZIII",
"IIIIIIIZZIIII",
"IIIIIIIZIZIII",
"IIIIIIZZIIIII",
"IIIIZZIIIIIII",
"IIIZZIIIIIIII",
"IIIZIZIIIIIII",
"IIZIZIIIIIIII",
"IIZIIZIIIIIII",
"IIZZIIIIIIIII",
"ZZIIIIIIIIIII",
"IIIIIIIIIIZ... | [
-2,
-2,
0.5,
-2,
-2,
-2,
-2,
1,
-2,
-2,
-2,
0.5,
-2,
0.5,
-1.5,
-1,
-1.5,
1,
1,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5
] | 0.97022 | [
0.15237445836346078,
0.18979248283746253,
0.0398367628105303,
-0.03113910681383067,
0.07643728151376208,
0.14109223611167276,
0.1224359670580778,
-0.3838556188386384,
0.08599138263979496,
-0.037473832244423994,
0.14389159444073682,
-0.11209576058819778,
3.242781965944715,
-0.01056155314120... | {
"n_parameters": 23,
"n_qubits": 13,
"optimal_eigenvalue": -25.5,
"target_ratio": 0.97,
"target_value": -24.735
} | 49 |
366b890edf4c144f6141ff272a73bb47 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [487, 511], "expectation_value": -10.253794882010808, "params": null, "bitstrings": ["1000011000", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.1560653977225837, 0.46765949797061507], "optimization_time": 152.03427529335022} | -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(1)) + -2.0 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(1) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(9) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1000000000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[10] q;
rz(-3.1415925077472098) q[0];
ry(0.6308663773850823) q[0];
rz(-1.5707965074011527) q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(-0.5677918832241154) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(-0.5677918832241154) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.71620748... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[8], 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] = measu... | [
"IIIIIZIZII",
"IIIIIZZIII",
"IIIIIIZZII",
"IIIZZIIIII",
"IIZIIIIIZI",
"IZIIIIIIZI",
"IZZIIIIIII",
"ZIIIIIIIZI",
"ZZIIIIIIII",
"IIIIIZIIII",
"IIIIIIIZII",
"IIIIIIZIII",
"IIIZIIIIII",
"IIIIZIIIII",
"IIIIIIIIZI",
"IIZIIIIIII",
"IZIIIIIIII",
"ZIIIIIIIII",
"IIIIIIIIIZ"
] | [
-1.5,
-1.5,
0.5,
-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,
-0.5
] | 0.43388 | [
-0.5677918832241154,
0.7162074872685954,
-0.9351460324519598,
-0.15398173942813242,
-1.5707964333245203,
-0.9399299494098221
] | {
"n_parameters": 6,
"n_qubits": 10,
"optimal_eigenvalue": -12.5,
"target_ratio": 0.97,
"target_value": -12.125
} | 173 |
90e33f0c23891c877a15a01400f5853c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [144, 176], "expectation_value": -5.012081561604232, "params": [[0.4859, 0.7067, 0.3514, 0.7040000000000001, 0.0016, 0.0005, 0.0023, -0.034300000000000004], [0.6766, 0.4162, 0.0805, 0.54, 0.0019, -0.0026000000000000003, -0.0013000000000000002, 0.0158], [0.3658, 0.3592, 0.7489, 0.7914, 0.0027, -0.0037, -0.006... | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["10111100", "11100011", "01001111", "10011110", "10001111", "01011110"], "largest_eigenvalue": 15.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.37028872273087793) q[0];
ry(0.779555973112625) q[1];
ry(0.5042063662695164) q[2];
ry(0.755227500599114) q[3];
ry(-0.21416677914037394) q[4];
ry(0.09753332539705553) q[5];
ry(-0.017577322351499516) q[6];
ry(-0.08897888570713461) q[7];
cz q[7], q[6];
cz q[6], q[5];
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[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIZIIZI",
"IIIZIIIZ",
"IIZIIIZI",
"IIZIIIIZ",
"IZIIIIIZ",
"IZZIIIII",
"IIIZIZII",
"IIZIIZII",
"IZIIIZII",
"IZIIZIII",
"ZIIZIIII",
"ZIIIZIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"ZIIIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1.5,
-1.5,
-1.5,
-1.5,
-1,
-0.5,
-0.5
] | 0.970664 | [
0.37028872273087793,
0.779555973112625,
0.5042063662695164,
0.755227500599114,
-0.21416677914037394,
0.09753332539705553,
-0.017577322351499516,
-0.08897888570713461,
0.7909967426233574,
0.4231146681585069,
-0.09715591110803025,
0.6697065082029932,
0.10121033126998077,
0.14791760646935131,... | {
"n_parameters": 40,
"n_qubits": 8,
"optimal_eigenvalue": -5.5,
"target_ratio": 0.97,
"target_value": -5.335
} | 7 |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -4.996464150018096, "params": null, "bitstrings": ["010011", "010110"], "total_optimization_steps": 25, "probabilities": [0.0663480739860024, 0.9303666439722974], "optimization_time": 21.26978898048401} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "010110"], "largest_eigenvalue": 12.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.022388232708840404) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.022388232708840404) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.022388232708840404) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.022388232708840404) q[3];
cx q[1], ... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IZIIZI",
"IZIIIZ",
"IIIZZI",
"IZIZII",
"IIZIZI",
"IZZIII",
"ZIIIZI",
"ZZIIII",
"ZIZIII",
"IIIIZI",
"IIIIIZ",
"IZIIII",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2,
-0.5,
-2,
-0.5,
-1,
-1
] | 0.970792 | [
0.022388232708840404,
-0.16546972504389865,
1.387189998889542,
1.1317721305414625,
-1.0291416278486831,
1.3553919116902904,
-0.24772195907827305,
-0.6852193775874179,
1.0091668921719015,
0.9126657422045303,
0.15550491965267638,
0.23151516878776346
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -16,
"target_ratio": 0.97,
"target_value": -15.52
} | 42 |
a18c3f06d92936730b6359d47cfc0d48 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [349, 333], "expectation_value": -77.40085716559514, "params": [0.7336, 0.3425, -0.0012000000000000001, 0.0059, 1.1992, 0.3199, 0.4433, 0.6842, 1.2032, 0.2964, 0.5456, 0.5281, 0.7734000000000001, -0.2417, 1.2041, -0.0111, 1.2043000000000001, 0.0407, 0.0029000000000000002, 0.8272, 1.2024000000000001, 0.167700... | 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(0) @ Z(7)) + 6.5 * (Z(10) @ Z(7)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 9.5 * Z(2) + 9.5 * Z(4) + 1.5 * Z(5) + 1... | 18 | 11 | 2 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -106.0, "smallest_bitstrings": ["11010110010"], "largest_eigenvalue": 168.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(0.33572704598551856) q[0];
rz(0.9095344809284125) q[0];
rx(0.060641267889702755) q[1];
rz(-0.1776778357231044) q[1];
rx(1.7241791349814999) q[2];
rz(0.29283934215226326) q[2];
rx(0.0121108877807373) q[3];
rz(0.5093959413199902) q[3];
rx(1.5090782214124052) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZII",
"IIIIIIZZIII",
"IIIIIZZIIII",
"IIZIIZIIIII",
"IIIIZIIIZII",
"IIZIZIIIIII",
"IIZZIIIIIII",
"IIIZZIIIIII",
"IIIZIIIIIIZ",
"ZIIZIIIIIII",
"ZIIIIIIIIIZ",
"ZZIIIIIIIII",
"IIIIIIIZIII",
"IIIIIIIIZII",
"IIIIIIZIIII",
"IIIIIZIIIII",
"IIZIIIIIIII",
"IIIIZIIIIII",
"IIIZIIIII... | [
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
6.5,
0.5,
9.5,
9.5,
1.5,
14,
7,
22,
4,
15.5,
-4,
-10.5
] | 0.982048 | [
0.3357270459855186,
0.5304797572957836,
0.060641267889702755,
-0.1776778357231044,
1.7241791349814999,
0.29283934215226326,
0.0121108877807373,
0.5093959413199902,
1.5090782214124052,
0.31231415136082386,
0.16087212971057724,
0.7011652932878976,
-0.1120764402895706,
-0.06464020201530828,
... | {
"n_parameters": 62,
"n_qubits": 11,
"optimal_eigenvalue": -124,
"target_ratio": 0.97,
"target_value": -120.28
} | 19 |
-5016235471855996807 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 4, 5], [1, 3, 6], [0, 1, 3, 5], [3, 4, 6], [3, 5, 6], [0, 3, 6], [0, 4, 5], [2, 6], [0, 2], [1, 4, 5, 6], [1, 7]]} | {"states": [122, 124], "expectation_value": -2.422516342434423, "params": [[[0.2735, 0.6633, 0.0077, 0.0061], [0.053500000000000006, 0.6633, -0.011000000000000001, 0.0022], [1.5775000000000001, -0.004, 1.5873000000000002, 0.006900000000000001], [0.37670000000000003, 0.733, 0.1433, 0.0046], [1.5819, -0.00060000000000000... | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.66666666... | 11 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000011"], "largest_eigenvalue": 9.499999999999998} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.03219422170229807) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.017469102528922444) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.03219422170229807) q[4];
cx q[2], q[4];
h q[5];
cx q[3], q[5];
rz(0.010912695138033158) 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": []} | [
"IIIIZZII",
"IIIZZIII",
"IIIZIZII",
"IIZIZIII",
"IIZIIZII",
"IIZZIIII",
"IIIIZIZI",
"IIIZIIZI",
"IIZIIIZI",
"IZIIZIII",
"IZIIIZII",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IIIIZIIZ",
"IIIIIZIZ",
"IIIZIIIZ",
"IIZIIIIZ",
"IIIIIIZZ",
"IZIIIIIZ",
"ZIIIIIZI",
"IIIIZIII",
"IIIIIZI... | [
0.08333333333333333,
0.25,
0.08333333333333333,
0.3333333333333333,
0.08333333333333333,
0.3333333333333333,
0.25,
0.08333333333333333,
0.16666666666666666,
0.6666666666666666,
0.5,
0.25,
0.25,
0.25,
0.25,
0.5,
0.16666666666666666,
0.25,
0.08333333333333333,
0.16666666666666666... | 0.970047 | [
0.03219422170229807,
0.017469102528922444,
0.010912695138033158,
-0.022919481342331988,
0.033430951184941375,
0.03867996087284186,
-1.4510637103020008,
-1.5886718369746933,
1.4944740532255034,
1.6070514482216214,
1.6088374622037984,
1.6295349866104898,
1.4976575627671485,
-1.54528244406294... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -3.333333333333334,
"target_ratio": 0.97,
"target_value": -3.233333333333334
} | 157 |
9915ff93784d747e82bcd9a73a2399e5 | edge_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": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 9], "expectation_value": -2.624903340271929, "params": null, "bitstrings": ["11111", "10110"], "total_optimization_steps": 14, "probabilities": [1.7181867225419193e-05, 0.9999371031796124], "optimization_time": 13.600596904754639} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"], "largest_eigenvalue": 4.375} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
rz(-pi) q[0];
ry(-0.0251969072812812) q[0];
h q[1];
ry(-0.5380823333224228) q[1];
h q[2];
ry(-0.5380823333224228) q[2];
h q[3];
cx q[3], q[1];
ry(0.5380823333224228) q[1];
cx q[3], q[1];
ry(-0.8810269947366784) q[1];
ry(1.3888852652990713) q[3];
h q[4];
cx q[4], q[2];
r... | 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(-1.5158) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... | [
"IIIZZ",
"ZIIIZ",
"IIZZI",
"IZIZI",
"ZIIZI",
"IZZII",
"ZIZII",
"ZZIII",
"IZZZI",
"ZIZZI",
"ZZIZI",
"ZZZII",
"ZZZZI",
"IIIIZ",
"IIIZI",
"IIZII",
"IZIII",
"ZIIII"
] | [
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,
-0.5,
-0.125,
-0.625,
-0.625,
-0.125
] | 0.972771 | [
-1.7357936832727832,
-1.0761646666448457,
0.8318258295933451,
1.3888852652990713,
-0.5583266175622739,
-0.9112528734271876,
0.7301946700289301,
-0.2369592768426538,
0.13507114255148295,
0.06045175738101835,
0.5736330844182135,
0.4348793797484596,
-0.5033799150929571,
-0.6485481651535171,
... | {
"n_parameters": 17,
"n_qubits": 5,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 14 |
ef86cdfaf327bff6279da2b2e63cb516 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [724, 746], "expectation_value": -2.5265717663905822, "params": [[[0.5458000000000001, 0.0025], [0.2837, -0.0039000000000000003], [0.6878000000000001, 0.0497], [0.5650000000000001, 0.0741], [0.531, 0.0328], [0.4368, 0.0791], [0.6266, 0.1318], [0.0853, 0.3304], [0.6869000000000001, 1.1022], [0.525600000000000... | 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(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010100110", "0010011100", "0010011001", "0010010110",... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(1.3294273376932007) q[0];
h q[1];
ry(-0.09351612922936302) q[2];
rz(-pi) q[2];
h q[3];
ry(-1.632448645206053) q[3];
h q[4];
ry(1.3294273376932007) q[4];
cx q[4], q[2];
ry(0.022376937123773526) q[2];
cx q[4], q[2];
ry(-0.05801539275043973) q[2];
rz(-pi) q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIZZ",
"IIIIIIIZIZ",
"IIIIIIIZZI",
"IIIIIIIZZZ",
"IIIIIZZIII",
"IIIIZIZIII",
"IIIIZZIIII",
"IIIIZZZIII",
"IIIZIIIIIZ",
"IIZIIIIIIZ",
"IIZZIIIIII",
"IIZZIIIIIZ",
"IIIIIIZIZI",
"IIIZIIIIZI",
"IZIIIIIIZI",
"IIIZIIZIII",
"IZIIIIZIII",
"IZIZIIIIII",
"IIIZIIZIZI",
"IZIIIIZIZI"... | [
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,
0.25,
0.25,
0.25,
-0.25,
0.5,
0,
0.125,
0,
0.125,
0,
-0.25,
0.125,
-0.25,
-0.125,... | 0.994772 | [
-1.632448645206053,
-1.662979958513898,
-1.4549032604417602,
1.3294273376932007,
-1.1144399248686607,
0.6136168687261874,
-0.04475387424754705,
-0.47034710208353786,
0.5913181929216926,
-0.42901955319133867,
0.15395367542431893,
-0.11775997548360093,
0.1127100693980449,
0.26797101269760465... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 1 |
dd0fd296e5cefa508578d0a4d77f60d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [2986, 2987], "expectation_value": -1.4686803900941423, "params": [2.3077, 0.0085, 1.498, 0.009600000000000001, 2.2996000000000003, 0.0029000000000000002, 2.2918000000000003, 0.0039000000000000003, 2.305, 0.0094, 0.2852, 0.0054, 2.3045, 0.0005, 1.0992, 0.008700000000000001, 2.3043, 0.005200000000000001, 1.11... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 12 | 1 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_sma... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
ry(-0.04076935764168316) q[0];
rz(-0.731447427739578) q[0];
ry(0.5754459869108984) q[1];
rz(-0.13588178538991647) q[1];
cz q[1], q[0];
ry(0.04158159894234759) q[0];
rz(-0.650787686328218) q[0];
ry(0.8397051713722968) q[1];
ry(-0.014154591062583577) q[2];
rz(-0.04076935... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIIZ",
"IIIIIIIZIIIZ",
"IIIIIIIIIZZI",
"IIIIIIIIZIZI",
"IIIIIIIZIIZI",
"IIIIIIIIZZII",
"IIIIIIIZIZII",
"IIIIIIIZZIII",
"IIIIIIIIIZZZ",
"IIIIIIIIZIZZ",
"IIIIIIIZIIZZ",
"IIIIIIIIZZIZ",
"IIIIIIIZIZIZ",
"IIIIIIIZZIIZ",
"IIIIIIIIZZZI",
"IIIIIIIZI... | [
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
-0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
0.0625,
-0.0625,
0.5,
0.25,
0.25,
0.25,
-0.25,
0.125... | 0.971168 | [
-0.04076935764168316,
-0.731447427739578,
0.5754459869108984,
-0.13588178538991647,
-0.014154591062583577,
1.6647853777365624,
0.0360647244302947,
-0.3987479606754137,
0.186324437403593,
0.610944299537157,
-0.05321255672610954,
-0.14895160169980046,
0.1953716337413735,
0.30972696112231635,... | {
"n_parameters": 126,
"n_qubits": 12,
"optimal_eigenvalue": -3.5625,
"target_ratio": 0.97,
"target_value": -3.455625
} | 107 |
7078550644986535312 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 5], [1, 2, 3, 5, 6, 7], [0, 1, 2, 3, 5], [0, 2, 5, 7], [1, 2, 4, 5, 6, 7], [0, 4, 6], [1, 3, 4, 5, 6, 7], [0, 2, 3, 4, 7], [0, 1, 2, 3, 6, 7], [0, 2, 4, 5], [1, 2, 3, 4, 5, 7]]} | {"states": [215, 63], "expectation_value": -1.597698509514605, "params": [[0.3549], [-0.3443]], "bitstrings": ["00101000", "11000000"], "total_optimization_steps": 40, "probabilities": [0.011387791668911282, 0.011421029254164449], "optimization_time": 2.107274293899536} | 0.21666666666666667 * (Z(0) @ Z(3)) + 0.2 * (Z(4) @ Z(3)) + 0.3833333333333333 * (Z(4) @ Z(0)) + 0.23333333333333334 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.18333333333333332 * (Z(1) @ Z(3)) + 0.08333333333333334 * (Z(1) @ Z(0)) + 0.1 * (Z(1) @ Z(4)) + 0.18333333333333332 * (Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.349999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3000000000000003, "smallest_bitstrings": ["11000000"], "largest_eigenvalue": 11.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[0];
rz(0.02248591817155462) q[0];
cx q[3], q[0];
h q[4];
cx q[3], q[4];
rz(0.009548516270121599) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(1.0321757069237865) q[4];
cx q[0], q[4];
h q[5];
cx q[3], q[5];
rz(0.016819055179668772) 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": []} | [
"IIIIZIIZ",
"IIIZZIII",
"IIIZIIIZ",
"IIZIZIII",
"IIZIIIIZ",
"IIZZIIII",
"IIIIZIZI",
"IIIIIIZZ",
"IIIZIIZI",
"IIZIIIZI",
"IIIIZZII",
"IIIIIZIZ",
"IIIZIZII",
"IIZIIZII",
"IIIIIZZI",
"IZIIZIII",
"IZIIIIIZ",
"IZIZIIII",
"IZZIIIII",
"IZIIIIZI",
"IZIIIZII",
"ZIIIZIII",
"ZIIIIII... | [
0.21666666666666667,
0.2,
0.3833333333333333,
0.23333333333333334,
0.3,
0.26666666666666666,
0.18333333333333332,
0.08333333333333334,
0.1,
0.18333333333333332,
0.2,
0.3,
0.2,
0.31666666666666665,
0.18333333333333332,
0.1,
0.19999999999999998,
0.2333333333333333,
0.1,
0.1333333... | 0.971953 | [
0.02248591817155462,
0.009548516270121599,
1.0321757069237865,
0.016819055179668772,
-0.002102082322907626,
-0.056433264544082595,
0.04357135333896228,
-0.03703061314323362,
0.026204387448626125,
-0.0017325326308244154,
-0.0010936168187237402,
0.01753424696475884,
0.07614963386646567,
1.47... | {
"n_parameters": 22,
"n_qubits": 8,
"optimal_eigenvalue": -2.349999999999999,
"target_ratio": 0.97,
"target_value": -2.279499999999999
} | 122 |
4437579813316991303 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [0, 1, 2, 6], [0, 1, 2, 3, 4], [0, 3, 4, 5, 6], [0, 1, 4, 5, 6], [1, 2, 5, 6], [1, 3, 6], [0, 1, 2, 5]]} | {"states": [93, 91], "expectation_value": -0.8545995663887613, "params": [[0.2667], [-0.2645]], "bitstrings": ["0100010", "0100100"], "total_optimization_steps": 30, "probabilities": [0.014264106833946764, 0.014619643135386759], "optimization_time": 1.4723646640777588} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.26666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.15000000000000002 * (Z(0) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(2)) + 0.18333333333333335 * (Z(0) @ Z(5)) + 0.1 * (Z(1) @ Z(4)) + 0.3 * (Z(1) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(5)) + 0.266666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.85, "smallest_bitstrings": ["0100100"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.010226046513761598) q[2];
cx q[4], q[2];
h q[5];
cx q[4], q[5];
rz(-0.005904308627967231) q[5];
cx q[4], q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(-0.04776194512481491) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.02... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIZIZII",
"IZZIIII",
"IZIIZII",
"IIZIIIZ",
"IIIIZIZ",
"IZIIIIZ",
"IIZIIZI",
"IIIIZZI",
"IZIIIZI",
"IIIIIZZ",
"ZIZIIII",
"ZIIIZII",
"ZZIIIII",
"ZIIIIIZ",
"ZIIIIZI",
"IIZZIII",
"IIIZZII",
"IZIZIII",
"IIIZIIZ",
"IIIZIZI",
"ZIIZIII",
"IIZIIII",
"IIIIZII",
"IZIIIII",
"III... | [
0.21666666666666667,
0.26666666666666666,
0.3333333333333333,
0.15000000000000002,
0.21666666666666667,
0.18333333333333335,
0.1,
0.3,
0.21666666666666667,
0.26666666666666666,
0.1,
0.16666666666666666,
0.18333333333333335,
0.18333333333333335,
0.3833333333333333,
0.1,
0.05,
0.05,
... | 0.977327 | [
0.010226046513761598,
-0.005904308627967231,
0.018508296184829808,
-0.04776194512481491,
0.06650954943210385,
-0.021509383065246135,
-0.052100349864614856,
0.039791789944743826,
0.5301798210783364,
-0.005365290234783066,
-1.6058007431720827,
1.420619803840145,
1.6048744571409443,
1.6153404... | {
"n_parameters": 17,
"n_qubits": 7,
"optimal_eigenvalue": -2.0166666666666666,
"target_ratio": 0.97,
"target_value": -1.9561666666666666
} | 83 |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 21.890662908554077} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"], "largest_eigenvalue": 7.5} | 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[0];
rz(0.08588185594382781) q[0];
cx q[4], q[0];
rz(-0.7796390051316933) q[0];
rx(-0.16223409120890334) q[0];
cx q[4], q[1];
rz(0.08588185594382781) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.08588185594382781) q[2];
cx q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IZIIIZ",
"IZIIZI",
"IIIZZI",
"IIZIZI",
"ZZIIII",
"ZIIZII",
"ZIZIII",
"IZIIII",
"IIIIIZ",
"IIIIZI",
"IIIZII",
"IIZIII",
"ZIIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
0,
-1,
-0.5,
-0.5,
-1
] | 0.976001 | [
0.08588185594382781,
-0.8756859798659048,
-0.7796390051316935,
-0.4654146534934242,
-0.16223409120890334,
-0.17378727443252442,
2.489205451114607,
-1.1559017135907852,
1.5966900435185638
] | {
"n_parameters": 9,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 34 |
89d2069c6096a3a143a6d1a4e4e35879 | 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": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -24.017937541200666, "params": [[[-1.6088, 0.001], [-0.0025, 0.0071], [-0.0025, 0.0015], [0.0025, 0.0016], [0.0024000000000000002, 0.0012000000000000001], [0.0026000000000000003, 0.0081], [0.0023, 0.0041], [3.1620000000000004, 0.007]]], "bitstrings": ["00000000", "10000000"],... | -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -2.5 * (Z(2) @ Z(6)) + -3.0 *... | 2 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["10000000"], "largest_eigenvalue": 22.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
rx(-1.671786092211232) q[0];
rz(0.005504900266035375) q[0];
rx(0.027938302575967192) q[1];
rz(0.22177577935322937) q[1];
rx(0.027938302575967192) q[2];
rz(0.053109284076303886) q[2];
rx(0.017227630471275804) q[3];
rz(-0.08357841591069892) q[3];
rx(-0.07028013295369573) ... | OPENQASM 3.0;
include "stdgates.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... | {"node": 0} | {"circuits": [], "gradients": []} | [
"IIIZIIZI",
"IIZZIIII",
"IIZIIIZI",
"IZIZIIII",
"IZIIIIZI",
"IZZIIIII",
"ZIIZIIII",
"ZIIIIIZI",
"ZIZIIIII",
"ZZIIIIII",
"IIIZIZII",
"IIIIIZZI",
"IIZIIZII",
"IZIIIZII",
"ZIIIIZII",
"IIIZZIII",
"IIIIZIZI",
"IIZIZIII",
"IZIIZIII",
"ZIIIZIII",
"IIIIZZII",
"IIIZIIII",
"IIIIIIZ... | [
-2.5,
0.5,
-3,
0.5,
-3,
0.5,
-2.5,
-3.5,
1,
1,
0.5,
1,
0.5,
-2.5,
-3,
0.5,
1,
-2.5,
0.5,
-3,
-2.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5
] | 0.977004 | [
-1.671786092211232,
0.005504900266035375,
0.027938302575967192,
0.22177577935322937,
0.053109284076303886,
0.017227630471275804,
-0.08357841591069892,
-0.07028013295369573,
-0.07077090105447349,
0.02733000231913555,
0.01212273069162012,
-0.05293351923160744,
-0.0038719748293836514,
3.24053... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -24.5,
"target_ratio": 0.97,
"target_value": -23.765
} | 1 |
9ece332e8f59eea04b865e97d9e6d763 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [20227, 19971], "expectation_value": -14.033688630472406, "params": [[[0.0357, -0.4299], [0.7896000000000001, -0.0016], [-0.0017000000000000001, 0.6819000000000001], [-0.004, 0.665], [0.7861, -0.0039000000000000003], [0.7913, -0.004200000000000001], [0.4762, -0.1044], [0.3441, 0.23550000000000001], [-0.00120... | -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(11)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(12) @ Z(4)) + -0.5 * (Z(12) @ Z(5)) + 0.5 * (Z(0) @ Z(12)) + -1.0 * (Z(13) @ Z(4))... | 1 | 16 | 4 | {"smallest_eigenvalues": [-14.499999999999797], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.49999999999974, "smallest_bitstrings": ["1011000111111100"], "largest_eigenvalue": 54.666666666666906} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
rx(0.07312731208045745) q[0];
rz(-0.08777736992517493) q[0];
rx(3.0978734726879162) q[1];
rz(0.04766515723369347) q[1];
rx(0.005912412743647669) q[2];
rz(0.21803358898234082) q[2];
rx(-0.11229467898881246) q[3];
rz(-0.0031504080667552614) q[3];
rx(2.9755133426008453) 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] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} | [
"IIIIZIIIIIIZIIII",
"IIIIIIIIIIZZIIII",
"IIIIZIIIIIZIIIII",
"IIIIIIIIIZIZIIII",
"IIIIZIIIIZIIIIII",
"IIIIIIIIIZZIIIII",
"IIIIIIIIZIIZIIII",
"IIIIZIIIZIIIIIII",
"IIIIIIIIZIZIIIII",
"IIIIIIIIZZIIIIII",
"IIIZIIIIIIIZIIII",
"IIIZIIIIIIZIIIII",
"IIIZIIIIIIIIIIIZ",
"IIZIIIIIIIIZIIII",
"IIZIIII... | [
-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,
-1,
2,
1,
1,
0.8333333333333334,
2,
-0.5,
-0.5,
-0.5,
-1,
-1,
-0.5,
-0.5,
-1,
-1,
0.5,
-1,
-1,
-2,
-2,
1,
1,
-0.5,
-0.5,
-0.5,
0.5,
1,
0.5,
-0.5,
-0.5,
-0.... | 0.970243 | [
0.07312731208045745,
-0.08876781587754644,
3.0978734726879162,
0.03485766665255867,
0.00591241274364767,
0.12133260299291658,
-0.1122946789888125,
0.0066519354153288975,
2.9755133426008453,
0.07891070142990152,
3.248903092149418,
-0.13712299428226482,
2.1347123701496904,
1.1379942594290808... | {
"n_parameters": 40,
"n_qubits": 16,
"optimal_eigenvalue": -14.499999999999797,
"target_ratio": 0.97,
"target_value": -14.064999999999802
} | 16 |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [32, 33], "expectation_value": -6.094332841555476, "params": [0.0021000000000000003, -1.0874000000000001, 0.0023, 2.0467, -0.0024000000000000002, 1.1858, 1.3599, 0.0037, 0.0027, 1.973, 0.0028, 2.0379, 0.0028, 2.0336000000000003, 0.0035, 2.0487, 0.91, 0.46990000000000004, 0.0013000000000000002, -0.68, 0.0025,... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"], "largest_eigenvalue": 9.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-0.3793360292258723) q[0];
cx q[1], q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.5201896407098358) q[4];
cx q[1], q[4];
rz(-0.5201896407098361) q[4];
rx(-0.7670228702555436) q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[7];
rz(-0.37933... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZIIZI",
"IZIIIIIZI",
"IIIIIIZZI",
"IZIIIIZII",
"IZIIIZIII",
"IZIZIIIII",
"IIIZIZIII",
"ZIIIIIIIZ",
"ZZIIIIIII",
"ZIIIIZIII",
"ZIIZIIIII",
"IIZIIIIZI",
"IZZIIIIII",
"IIZIIIZII",
"IIZZIIIII",
"IIIIIIIZI",
"IIIIIIIIZ",
"IIIIZIIII",
"IZIIIIIII",
"IIIIIIZII",
"... | [
-0.5,
-0.75,
-0.5,
-0.25,
-0.5,
-0.25,
-0.25,
-0.75,
0.75,
-0.25,
-0.75,
-0.25,
-0.25,
-0.25,
-0.5,
-0.25,
0.25,
-0.25,
-0.75,
0,
-0.25,
1.75,
-1,
-0.5,
0.75
] | 0.758041 | [
-0.3793360292258723,
-0.5201896407098358,
-0.38243772138101756,
0.3107532064049031,
-1.0193568042474141,
-0.10867563690290413,
1.2064359660083703,
-0.7234303447869407,
-0.7670228702555438,
0.8205618517798737,
0.9675232474993655,
0.5915471870437505,
-1.0311894401406954,
1.1821597172385196,
... | {
"n_parameters": 17,
"n_qubits": 9,
"optimal_eigenvalue": -6.5,
"target_ratio": 0.97,
"target_value": -6.305
} | 500 |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [11, 27], "expectation_value": -0.20458625019031443, "params": [[0.07250000000000001, -0.0478], [-0.082, -0.0132]], "bitstrings": ["110100", "100100"], "total_optimization_steps": 10, "probabilities": [0.01757016429550801, 0.01838097740812927], "optimization_time": 2.295297861099243} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"], "largest_eigenvalue": 7.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.04358228463512977) q[0];
cx q[2], q[0];
rz(0.629790216378117) q[2];
rx(-0.6836283096730165) q[2];
h q[3];
cx q[0], q[3];
rz(-0.04358228463512977) q[3];
cx q[0], q[3];
h q[4];
cx q[0], q[4];
rz(-0.04358228463512977) 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} | [
"IIIZIZ",
"IIZIIZ",
"IZIIIZ",
"IZZIII",
"ZIIIIZ",
"ZIZIII",
"IIZIZI",
"IIIZII",
"IIIIIZ",
"IIZIII",
"IZIIII",
"ZIIIII",
"IIIIZI"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0,
-1.5,
-1.5,
-0.5,
-0.5,
0
] | 0.987514 | [
-0.04358228463512977,
0.6297902163781169,
-1.038896045838605,
0.8898531274270675,
-0.6836283096730164,
0.08270608385341727,
-0.4891641665369492,
0.3380455981667369,
-1.2087704809257387,
1.2365945368731672,
-0.5651441507024032,
-0.44988414168676605,
-0.273403240245268
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -4.5,
"target_ratio": 0.97,
"target_value": -4.365
} | 23 |
1adc91a7ea3c570322fc9dbda1e04f81 | 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": [2095, 2087], "expectation_value": -129.64447281292124, "params": [1.4973, -0.0018000000000000002, -0.0019, 0.8739, -0.0025, -0.8613000000000001, -0.0024000000000000002, 0.7753, -0.0026000000000000003, -1.0352000000000001, -0.002, 0.8394, 1.4945000000000002, 0.2686, -0.0026000000000000003, 1.0923, 0.76640000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(6) @ Z(0)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(2) @ Z(9)) + 8.0 * (Z(3) @ Z(10)) + 8.0 * (Z(11) @ Z(0)) + 8.0 * (Z(11) @ Z(6)) + 8.0 * (Z(11) @ Z(8)) + 8.0 * (Z(11) @ Z(10)) + 24.0 * Z(0) + -3.5 * Z(1) + 24.5 * Z(6) + -3.0 * Z... | 16 | 12 | 2 | {"smallest_eigenvalues": [-141.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -137.0, "smallest_bitstrings": ["011111011000"], "largest_eigenvalue": 215.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(1.5130623374838283) q[0];
rz(0.3863197031681618) q[0];
rx(0.008476888032897714) q[1];
rz(0.6094411713609073) q[1];
cx q[1], q[0];
rz(-0.4629410958400621) q[0];
cx q[1], q[0];
rx(1.680683136796268) q[0];
rz(-0.1882689002849922) q[0];
rz(0.26836065472019033) q[1];
rx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIZIIIIIZ",
"IIIIIZZIIIII",
"IIIZIIIIIIIZ",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IIZIIIIIIZII",
"IZIIIIIIZIII",
"ZIIIIIIIIIIZ",
"ZIIIIZIIIIII",
"ZIIZIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIIIIIIIZ",
"IIIIIIIIIIZI",
"IIIIIZIIIIII",
"IIIIIIZIIIII",
"IIIZIIIIIIII",
"IIZIIIIII... | [
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
8,
24,
-3.5,
24.5,
-3,
19.5,
6,
-5,
7,
-3,
23,
-14.5,
-15
] | 0.970111 | [
1.5130623374838286,
-0.07662139267190012,
0.008476888032897714,
0.6094411713609073,
-0.04088628166564574,
-1.0199485907777106,
0.0977401228042895,
0.8424888354392507,
-0.10458454253442984,
-0.8462601310188259,
0.013325976239692214,
0.856132608951052,
1.608370732212502,
0.2722633797407563,
... | {
"n_parameters": 59,
"n_qubits": 12,
"optimal_eigenvalue": -141,
"target_ratio": 0.97,
"target_value": -136.77
} | 10 |
8fa85228f1ab3b361f2e7e3b3150e795 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target":... | {"states": [0, 487], "expectation_value": -8.939174761116956, "params": [0.3975, 0.3927, -0.7292000000000001, 0.0043, 0.8817, 0.6043000000000001, -0.7949, 0.007500000000000001, -0.9159, 1.1992, -0.1799, 0.0039000000000000003, -0.924, 1.4514, 0.013000000000000001, 0.0076, -0.0018000000000000002, 1.4463000000000001, -0.0... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) | 6 | 9 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["000011000"], "largest_eigenvalue": 11.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.9952456547999777) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.32439118944162554) q[1];
cx q[2], q[1];
h q[3];
cx q[2], q[3];
rz(0.8631878032498951) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.32439118944162537) q[2];
rx(0.9475125628... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 5} | {"circuits": [], "gradients": []} | [
"IIIIIIZIZ",
"IIIIIIZZI",
"IIIIIZZII",
"IIIIIZIIZ",
"IIIIIZIZI",
"IIIZZIIII",
"ZIZIIIIII",
"ZZIIIIIII",
"IZZIIIIII",
"IIIIIIZII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIIZIII",
"IIIZIIIII",
"IIIIZIIII",
"ZIIIIIIII",
"IIZIIIIII",
"IZIIIIIII"
] | [
-1.5,
0.5,
-2,
0.5,
-1.5,
-1.5,
-1.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-1,
-1,
0.5,
0.5,
0.5
] | 0.497648 | [
0.9952456547999777,
0.32439118944162554,
0.8631878032498951,
1.1537434448074644,
0.9475125628779709
] | {
"n_parameters": 5,
"n_qubits": 9,
"optimal_eigenvalue": -13.5,
"target_ratio": 0.97,
"target_value": -13.094999999999999
} | 174 |
cd09c9fc0c45a235ddacffa85d40c411 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [1031, 7], "expectation_value": -37.18436323484576, "params": null, "bitstrings": ["01111111000", "11111111000"], "total_optimization_steps": 100, "probabilities": [0.10295580807561673, 0.19187130439150496], "optimization_time": 302.070396900177} | -4.0 * (Z(0) @ Z(1)) + -4.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -4.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["11111111000"], "largest_eigenvalue": 47.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.3959092347754542) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(0.3617378298419435) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3959092347754542) q[2];
cx q[0], q[2];
h q[3];
cx q[1], q[3];
rz(0.3959092347754542) q[3];
cx q[1], q[3];
c... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5577) 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] = m... | [
"IIIIIIIIIZZ",
"IIIIIIIIZZI",
"IIIIIIIIZIZ",
"IIIIIIIZIZI",
"IIIIIIIZIIZ",
"IIIIIIIZZII",
"IIIIIZIIIZI",
"IIIIIZIIIIZ",
"IIIIIZIIZII",
"IIIIIZIZIII",
"IIIIZIIIIZI",
"IIIIZIIIIIZ",
"IIIIZIIIZII",
"IIIIZIIZIII",
"IIIIZZIIIII",
"IIIZIIIIIZI",
"IIIZIIIIIIZ",
"IIIZIIIIZII",
"IIIZIIIZI... | [
-4,
-4.5,
-4,
-4,
2,
-3.5,
2,
-4,
-3.5,
-3.5,
-3.5,
-3.5,
1.5,
1,
1,
-4,
1,
1,
0.5,
0.5,
-3,
1,
1,
-4,
1,
-3.5,
0.5,
-3,
-1.5,
0.5,
-1.5,
-3.5,
-3,
-3.5,
-3,
-3.5,
-3.5,
1.5,
1.5,
0.5,
0.5,
0.5
] | 0.485383 | [
0.3959092347754542,
0.3617378298419435,
0.2495555571669285,
0.5497148081444604,
0.18532131761863854,
0.2294826956475107,
0.26699189785699434,
0.6938540917762349,
1.119061573304744,
1.09786925716313
] | {
"n_parameters": 10,
"n_qubits": 11,
"optimal_eigenvalue": -62.5,
"target_ratio": 0.97,
"target_value": -60.625
} | 240 |
-3593770171568213761 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [0, 2, 3, 4, 5, 7], [0, 1, 7], [0, 2, 3, 5, 6], [1, 2, 5], [1, 2, 7]]} | {"states": [185, 248], "expectation_value": -1.7014211839199833, "params": null, "bitstrings": ["01000110", "00000111"], "total_optimization_steps": 41, "probabilities": [0.02703311246625864, 0.9323531817332815], "optimization_time": 60.81172561645508} | 0.19999999999999998 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333334 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0.083333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6999999999999997, "smallest_bitstrings": ["00000111"], "largest_eigenvalue": 5.999999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-0.013031293087228906) q[3];
cx q[4], q[3];
h q[5];
h q[6];
cx q[4], q[6];
rz(0.0037234040563358813) q[6];
cx q[4], q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(0.0416844189338329) q[0];
cx q[4], q[0];
cx q[4], q[2];
r... | 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(1.4576) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIZZIII",
"IZIZIIII",
"IZIIZIII",
"IIIZIIIZ",
"IIIIZIIZ",
"IZIIIIIZ",
"IIIZIZII",
"IIIIZZII",
"IZIIIZII",
"IIIIIZIZ",
"IIZZIIII",
"IIZIZIII",
"IZZIIIII",
"IIZIIIIZ",
"IIZIIZII",
"ZIIZIIII",
"ZIIIZIII",
"ZIIIIIIZ",
"ZIIIIZII",
"ZIZIIIII",
"IIIIIIZZ",
"IIIIIZZI",
"IIZIIIZ... | [
0.19999999999999998,
0.16666666666666666,
0.21666666666666667,
0.03333333333333333,
0.08333333333333334,
0.05,
0.03333333333333333,
0.08333333333333334,
0.05,
0.08333333333333334,
0.03333333333333333,
0.08333333333333334,
0.05,
0.08333333333333334,
0.25,
0.03333333333333333,
0.033333... | 0.971441 | [
-0.013031293087228906,
0.0037234040563358813,
2.936474714772131,
0.0416844189338329,
-0.043549062367854136,
-0.06624223711219127,
0.019697036740566914,
0.005417153519601946,
1.7004411532942378,
1.5973947901901504,
-1.4877717424250423,
1.6029144384835396,
1.662223835531065,
-1.6603027074359... | {
"n_parameters": 15,
"n_qubits": 8,
"optimal_eigenvalue": -1.7333333333333334,
"target_ratio": 0.97,
"target_value": -1.6813333333333333
} | 108 |
b859764cc810bb20378f19b6fa3fab8e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.4693029219761354, "params": [[0.47440000000000004], [-0.4061]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 50, "probabilities": [8.32821023353643e-05, 8.328210233536431e-05], "optimization_time": 18.079813718795776} | 0.25 * (Z(0) @ Z(1)) + -0.0010330578512396695 * (Z(2) @ Z(0)) + -0.0010330578512396695 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006198347107438016 * (Z(4) @ Z(0)) + 0.00025826446280991736 * (Z(4) @ Z(2)) + -0.0006198347107438016 * (Z(5) @ Z(1)) + 0.00025826446280991736 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0143595041321865], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.014359504132161, "smallest_bitstrings": ["0101010110101010"], "largest_eigenvalue": 2.015805785123932} | OPENQASM 3.0;
include "stdgates.inc";
qubit[16] q;
h q[0];
h q[1];
ry(-0.5810969027039917) q[1];
cx q[0], q[1];
ry(0.5810969027039917) q[1];
cx q[0], q[1];
ry(-0.1602304674429262) q[0];
cx q[1], q[0];
ry(0.1602304674429262) q[0];
cx q[1], q[0];
ry(0.5484055166550409) q[0];
ry(-0.1447417245689822) q[1];
h q[2];
h q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"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,
-0.0010330578512396695,
-0.0010330578512396695,
0.25,
-0.0006198347107438016,
0.00025826446280991736,
-0.0006198347107438016,
0.00025826446280991736,
0.25,
0.00010330578512396695,
0.000051652892561983477,
-0.0008780991735537191,
0.00010330578512396695,
0.000051652892561983477,
-0.0... | 0.974758 | [
-0.46000525133767695,
-0.5352219271812406,
-1.4816696848482511,
-1.063114003757688,
-0.8447229531261213,
-1.1621938054079834,
-0.9275260015326787,
-0.9116057269410988,
-0.36135140425103934,
1.0098381854007996,
-0.6193483744085458,
0.25939358041024185,
-0.16135263965332763,
1.37510505649477... | {
"n_parameters": 99,
"n_qubits": 16,
"optimal_eigenvalue": -2.0143595041321887,
"target_ratio": 0.97,
"target_value": -1.9539287190082228
} | 98 |
-1477246944376182267 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 5, 9, 12], [1, 4, 5, 9, 11], [3, 6], [0, 3, 4, 7], [12, 6], [2, 11, 6], [2, 11, 5], [8, 0, 4, 5], [10, 12], [8, 12], [0, 11, 3, 4], [9, 2, 6], [8, 6], [0, 9, 7], [0, 4, 5, 7, 11], [3, 4, 5, 7], [11, 4, 6], [1, 10, 4, 6], [0, 2, 3, 5, 7], [11, 1... | {"states": [1854, 1982], "expectation_value": -6.689529661268547, "params": [0.44270000000000004, -0.4923, 0.44320000000000004, 0.0071, 0.5067, 0.5002, 0.5445, 0.5109, 1.3804, -0.0006000000000000001, 1.3811, 0.0083, 1.3819000000000001, -0.022000000000000002, 1.1833, 0.0413, 1.3819000000000001, -0.0029000000000000002, 1... | 0.23333333333333334 * (Z(0) @ Z(2)) + 0.31666666666666665 * (Z(5) @ Z(2)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.3 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(9) @ Z(0)) + 0.1 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(12) @ Z(2)) + 0.1 * (Z(12) @ Z(0)) + 0.35 * (Z(12) @ Z(5)) + 0.05 * (Z(12) @ Z(9)) + 0.1333333333333... | 8 | 13 | 1 | {"smallest_eigenvalues": [-8.133333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.800000000000001, "smallest_bitstrings": ["1100001000001"], "largest_eigenvalue": 32.49999999999999} | OPENQASM 3.0;
include "stdgates.inc";
qubit[13] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(3.307193589762172e-05) q[0];
cx q[2], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(5.258985878077034e-05) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(2.694395524512345e-05) q[5];
cx q[0], q[5];
h q[6];
h q[7];
h q[8];
h q[9];
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": []} | [
"IIIIIIIIIIZIZ",
"IIIIIIIZIIZII",
"IIIIIIIZIIIIZ",
"IIIZIIIIIIZII",
"IIIZIIIIIIIIZ",
"IIIZIIIZIIIII",
"ZIIIIIIIIIZII",
"ZIIIIIIIIIIIZ",
"ZIIIIIIZIIIII",
"ZIIZIIIIIIIII",
"IIIIIIIIIIZZI",
"IIIIIIIIIIIZZ",
"IIIIIIIZIIIZI",
"IIIZIIIIIIIZI",
"ZIIIIIIIIIIZI",
"IIIIIIIIZIZII",
"IIIIIIIIZII... | [
0.23333333333333334,
0.31666666666666665,
0.2833333333333333,
0.3,
0.21666666666666667,
0.1,
0.18333333333333335,
0.1,
0.35,
0.05,
0.13333333333333333,
0.05,
0.26666666666666666,
0.3,
0.05,
0.08333333333333333,
0.3,
0.26666666666666666,
0.13333333333333333,
0.16666666666666666,... | 0.901855 | [
0.00003307193589762172,
0.00005258985878077034,
0.00002694395524512345,
0.00003252143983238764,
0.000015386207450556446,
-0.000028290155049201256,
0.00001078945027286258,
0.00004605321077358638,
0.0000031520750825952006,
-0.000009105246804067074,
0.000012710792963177683,
-0.0000011957122122905... | {
"n_parameters": 32,
"n_qubits": 13,
"optimal_eigenvalue": -8.133333333333335,
"target_ratio": 0.97,
"target_value": -7.889333333333334
} | 500 |
e8fdec38f32f10530d269f6547919d57 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 26], "expectation_value": -3.999900324820464, "params": null, "bitstrings": ["001101", "100101"], "total_optimization_steps": 26, "probabilities": [1.718751956347206e-05, 0.9999500716492452], "optimization_time": 21.98961353302002} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.17949889982137707) q[0];
h q[1];
ry(-0.14797600783105308) q[1];
h q[2];
ry(1.6432224921298026) q[2];
h q[3];
cx q[3], q[0];
ry(0.17949889982137707) q[0];
cx q[3], q[0];
ry(0.8547520083356644) q[0];
h q[4];
cx q[4], q[1];
ry(0.14797600783105308) q[1];
cx q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... | [
"IIIIZZ",
"IIIZIZ",
"ZIIIZI",
"ZIIIIZ",
"IIZZII",
"ZIZIII",
"ZZIIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"IIIZII",
"ZIIIII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
-1.5,
-1,
-0.5
] | 0.972171 | [
-0.29595201566210616,
-0.35899779964275413,
1.6432224921298026,
0.9033872731020592,
-0.4118355892285082,
0.7485108173051358,
-0.3753867049038224,
-0.10690644632358749,
0.32912167940678394,
-0.21107854551076083,
0.6268900816335382,
-0.009865066915267423,
0.06148966405270589,
0.2832723267589... | {
"n_parameters": 55,
"n_qubits": 8,
"optimal_eigenvalue": -3.125,
"target_ratio": 0.97,
"target_value": -3.03125
} | 50 |
d5d46267e12bf6022b5986d45d7bae96 | 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": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4032], "expectation_value": -44.61657186782684, "params": [[[0.0024000000000000002, 0.0029000000000000002], [0.0026000000000000003, 0.006200000000000001], [0.0025, 0.0035], [0.0022, 0.0098], [0.0026000000000000003, 0.005], [1.6098000000000001, 0.0037], [0.0021000000000000003, 0.0082], [0.0022, 0.0051], [... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.0 * (Z(3) @ Z(5)) + -3.0... | 2 | 12 | 1 | {"smallest_eigenvalues": [-47.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -42.5, "smallest_bitstrings": ["000000111111"], "largest_eigenvalue": 46.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-0.16891200303833964) q[0];
rz(-0.01585226453126383) q[0];
rx(-0.05752556453488987) q[1];
rz(0.12589793057954846) q[1];
rx(-0.056124579987096926) q[2];
rz(-0.1581268555013318) q[2];
rx(-0.07514794542377198) q[3];
rz(0.24925080692520266) q[3];
rx(-0.05752556453488987... | OPENQASM 3.0;
include "stdgates.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": 11} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZZI",
"IIIIIIIIIZIZ",
"IIIIIIIZIIZI",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIIIIZ",
"IIIIIIZIIZII",
"IIIIIIZZIIII",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZZIII",
"IIIIIIZIZIII",
"IIIZIZIIIIII",
"IIZZIIIIIIII",
"IIZIIZIIIIII",
"IZIZIIIII... | [
-2,
-2.5,
-2.5,
-2.5,
1,
-3,
0.5,
0.5,
-3,
1,
0.5,
1,
-2.5,
-2,
-3,
-3.5,
-3,
-3.5,
-3.5,
1.5,
-3,
-3,
-3,
1.5,
1,
1,
-3,
-3,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-2.5,
2,
1.5,
-2.5,
-2.5,
1
] | 0.974851 | [
-0.16891200303833964,
-0.01585226453126383,
-0.05752556453488987,
0.12589793057954846,
-0.056124579987096926,
-0.1581268555013318,
-0.07514794542377198,
0.24925080692520266,
-0.10443392764264009,
2.345182393765632,
0.25756212533902545,
-0.016532622670939412,
0.07857459391290356,
0.12696998... | {
"n_parameters": 20,
"n_qubits": 12,
"optimal_eigenvalue": -47.5,
"target_ratio": 0.97,
"target_value": -46.074999999999996
} | 8 |
a6ea63ce7afda0458cb5e7d5c63027a7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -2.93349716560328, "params": [[-0.062200000000000005, -0.07060000000000001, -0.07970000000000001, -0.0765], [0.055900000000000005, 0.062200000000000005, 0.0707, 0.0708]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.0275284176807784... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + 1.25 * Z(2) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["1000000"], "largest_eigenvalue": 9.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(-0.0017376199511947208) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0017376199511947208) q[1];
cx q[2], q[1];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.20288321499629142) q[4];
cx q[1], q[4];
h q[5];
cx q[2], q[5];
rz(-0.14254887280689... | OPENQASM 3.0;
include "stdgates.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",
"IIIIZZI",
"IIZIIZI",
"IZIIZII",
"IZIIIZI",
"IZZIIII",
"ZIIIIIZ",
"ZIIIIZI",
"ZIZIIII",
"ZZIIIII",
"IIIZZII",
"IZIZIII",
"ZIIZIII",
"IIIIZII",
"IIIIIIZ",
"IIIIIZI",
"IIZIIII",
"IZIIIII",
"ZIIIIII",
"IIIZIII"
] | [
-0.25,
-0.25,
-0.5,
-0.75,
-0.25,
-0.75,
0.5,
-0.25,
-1,
-1,
-0.5,
-1.75,
-0.25,
1.25,
-0.25,
0.75,
1.25,
-0.5,
-2,
-0.5
] | 0.716399 | [
-0.0017376199511947208,
-0.20288321499629142,
-0.14254887280689885,
0.26610324065355456,
-0.055925380870436796,
-1.4523531504272442,
1.389482031566515,
1.5293789649009613,
-1.4359026134477408,
-1.0918522412024452
] | {
"n_parameters": 10,
"n_qubits": 7,
"optimal_eigenvalue": -8,
"target_ratio": 0.97,
"target_value": -7.76
} | 243 |
02575a12c565dc28617818fe7f0b4a99 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 155.19259357452393} | 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(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"], "largest_eigenvalue": 139.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
ry(-0.23507353246165305) q[0];
ry(-2.4415664310148384) q[1];
rz(-pi) q[1];
rz(-pi) q[2];
ry(-2.4499701101813587) q[2];
h q[3];
ry(0.9227705559152606) q[3];
h q[4];
ry(-2.458330084571739) q[5];
rz(-pi) q[5];
h q[6];
ry(39.04965588622594) q[6];
cx q[6], q[5];
ry(-... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(38.6317) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... | [
"IIIIIIZZ",
"IIIIIZZI",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIZZIII",
"IIZIZIII",
"IIZZIIII",
"IZIIIZII",
"IZIIZIII",
"IZIZIIII",
"IZZIIIII",
"ZIIIIIZI",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
9.5,
7.5,
13.5,
13.5,
9,
14,
16.5,
4
] | 0.971754 | [
39.04965588622594,
-5.700698017949098,
2.166064408115155,
0.9227705559152606,
0.39121486102403674,
0.6100929370927086,
0.9591104863918101,
0.19270892417635244,
-0.4759729115203181,
0.08905781936669226,
-0.26208726603383503,
-0.3379662386073564,
0.04072076886277337,
-0.19606358742522542,
... | {
"n_parameters": 63,
"n_qubits": 8,
"optimal_eigenvalue": -58.5,
"target_ratio": 0.97,
"target_value": -56.745
} | 51 |
3818ce8f8ec333f1e3cdd221545ea640 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -7.788512923417929, "params": [[0.054], [-0.0711]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.007610503775815784, 0.008828808884923768], "optimization_time": 2.5203135013580322} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"], "largest_eigenvalue": 122.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.2759233039205356) q[0];
cx q[1], q[0];
h q[2];
cx q[0], q[2];
rz(0.2759233039205356) q[2];
cx q[0], q[2];
rz(0.8844402004995073) q[0];
rx(-0.1341396366104166) q[0];
h q[3];
cx q[2], q[3];
rz(0.2759233039205356) 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] 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZZII",
"IIIZZIII",
"IIZIIZII",
"IIZIZIII",
"IZIIIIZI",
"IZIIIZII",
"IZIIZIII",
"IZZIIIII",
"ZIIZIIII",
"ZIZIIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIIIZII",
"IIIIZIII",
"IIIZIIII",
"IIZIIIII",
"IZIIIIII",
"ZIIIIIII"
] | [
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
4,
6.5,
1.5,
15,
8.5,
9.5,
14,
17.5,
1.5
] | 0.970097 | [
0.2759233039205356,
-0.42938787334870315,
0.8844402004995082,
-0.8144200522888211,
0.2801413587704371,
-0.8114055882673806,
-0.6665407615679289,
-1.1405939395508837,
-0.13413963661041667,
-0.22536789211031555,
-1.1314300218673012,
0.5384084427806397,
-0.5755834086541328,
0.4727379585036260... | {
"n_parameters": 36,
"n_qubits": 8,
"optimal_eigenvalue": -67,
"target_ratio": 0.97,
"target_value": -64.99
} | 49 |
92e0d9744e7b0376f2c61fec7a621b77 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [1689, 2406], "expectation_value": -0.011208965822599379, "params": [[0.0608], [-0.0621]], "bitstrings": ["100101100110", "011010011001"], "total_optimization_steps": 10, "probabilities": [0.000255404308694395, 0.000255404308694395], "optimization_time": 5.668346643447876} | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.000510204081632653 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + 0.000510204081632653 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0010204081... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.514795918367347, -1.514795918367347], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107142857142857, "smallest_bitstrings": ["011010011001", "100101100110"], "largest_eigenvalue": 1.5158163265306126} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
ry(-0.5133697055041112) q[0];
h q[1];
ry(1.6084249374386541) q[1];
h q[2];
ry(1.6084249374386541) q[2];
ry(-0.053550572212937055) q[3];
rz(-pi) q[3];
ry(-0.053550572212937055) q[4];
rz(-pi) q[4];
h q[5];
cx q[5], q[0];
ry(0.5133697055041112) q[0];
cx q[5], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIIZZ",
"IIIIIIIIIZIZ",
"IIIIIIIIZIZI",
"IIIIIIIIZZII",
"IIIIIIIZIIIZ",
"IIIIIIIZIZII",
"IIIIIIZIIIZI",
"IIIIIIZIZIII",
"IIIIIIZZIIII",
"IIIIIZIIIIIZ",
"IIIIIZIIIZII",
"IIIIIZIZIIII",
"IIIIZIIIIIZI",
"IIIIZIIIZIII",
"IIIIZIZIIIII",
"IIIIZZIIIIII",
"IIIZIIIIIIIZ",
"IIIZIIIII... | [
0.25,
-0.001020408163265306,
-0.001020408163265306,
0.25,
0.000510204081632653,
-0.001020408163265306,
0.000510204081632653,
-0.001020408163265306,
0.25,
-0.001020408163265306,
0.0011479591836734695,
0.0007653061224489796,
-0.001020408163265306,
0.0011479591836734695,
0.00076530612244897... | 0.992524 | [
-1.5021443221766975,
1.6084249374386541,
-1.0267394110082224,
0.7506936281381614,
-0.5870557688839062,
0.4771553588124247,
-0.38953925180142007,
0.19253854567295237,
0.02981104842832527,
0.18877927704919473,
0.13517748060633164,
-0.03020286481052407,
-0.11241436734008918
] | {
"n_parameters": 13,
"n_qubits": 6,
"optimal_eigenvalue": -3.5,
"target_ratio": 0.97,
"target_value": -3.395
} | 1 |
df62b430c122c4297c9377287854fb07 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -0.30406621504185016, "params": [[-0.0558, -0.0453, -0.0553, -0.0661], [0.0745, 0.0618, 0.0614, 0.0625]], "bitstrings": ["10010", "10000"], "total_optimization_steps": 10, "probabilities": [0.04423559075583865, 0.04782559838010979], "optimization_time": 3.57641863822937} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"], "largest_eigenvalue": 1.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(-0.4192363165159487) q[0];
h q[1];
ry(0.8083877277033201) q[1];
h q[2];
ry(1.5715365335575289) q[2];
cx q[2], q[1];
ry(-0.8083877277033201) q[1];
cx q[2], q[1];
ry(0.0015275764421637146) q[2];
h q[3];
h q[4];
cx q[4], q[0];
ry(0.4192363165159487) q[0];
cx q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} | [
"IZIIZ",
"IZIZI",
"ZZIII",
"ZIIIZ",
"ZIIZI",
"IIZZI",
"IZIII",
"IIIIZ",
"IIIZI",
"ZIIII",
"IIZII"
] | [
-0.25,
-0.5,
-0.25,
0.5,
-0.25,
-0.5,
-0.5,
-0.25,
0.25,
0,
0.5
] | 0.976145 | [
1.5715365335575289,
1.6167754554066402,
-0.8384726330318975,
1.0454948872417675,
-1.0162029767581646,
0.5475724000797026,
-0.2924915317005682,
0.003055152884327429,
0.13920020947575934,
0.14473740227131043,
-0.1293458458327996,
-0.034238716862651924
] | {
"n_parameters": 12,
"n_qubits": 5,
"optimal_eigenvalue": -2.25,
"target_ratio": 0.97,
"target_value": -2.1825
} | 8 |
-4010982360647028719 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [0, 5, 6], [2, 3], [1, 4, 5], [0, 1, 3], [2, 5], [3, 5, 6], [0, 4, 5], [0, 1, 5]]} | {"states": [46, 42], "expectation_value": -0.1261490609465135, "params": [[0.07730000000000001], [-0.0844]], "bitstrings": ["1010001", "1010101"], "total_optimization_steps": 10, "probabilities": [0.008775120470889446, 0.008901579016626863], "optimization_time": 2.161740779876709} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0010101", "1010101", "1010001", "1010100", "1010000"], "largest_eigenvalue": 7.499... | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(0.3231175295311744) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.2717093142126168) q[0];
cx q[1], q[0];
h q[3];
h q[4];
h q[5];
cx q[2], q[5];
rz(0.3231175295311744) q[5];
cx q[2], q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.3231175295... | 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x1)... | null | {"circuits": [], "gradients": []} | [
"IIIIZZI",
"IIIIIZZ",
"IZIIZII",
"IZIIIZI",
"IZIIIIZ",
"ZIIIIIZ",
"ZZIIIII",
"IIIZZII",
"IIIZIZI",
"IIIZIIZ",
"IZIZIII",
"ZIIZIII",
"IIZIIZI",
"IIZIIIZ",
"IZZIIII",
"IIIIZII",
"IIIIIZI",
"IIIIIIZ",
"IZIIIII",
"ZIIIIII",
"IIIZIII",
"IIZIIII"
] | [
0.5,
0.3333333333333333,
0.5,
0.3333333333333333,
0.5,
0.16666666666666666,
0.3333333333333333,
0.5,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.3333333333333333,
0,
0.5000000000000001,
0.6666666666... | 0.56131 | [
0.3231175295311744,
0.2717093142126168,
0.13597201472534137,
-1.3050647509661393,
0.9076424149114819,
1.337009269435719,
-1.00482297699309
] | {
"n_parameters": 7,
"n_qubits": 7,
"optimal_eigenvalue": -2.8333333333333335,
"target_ratio": 0.97,
"target_value": -2.7483333333333335
} | 185 |
2a895515d0a8eaf1b57b7d486fef5b85 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [35, 3], "expectation_value": -25.51481872313554, "params": [[[-0.0167, 0.0032], [1.5414, 0.0006000000000000001], [-0.0063, 0.0057], [-0.014, 0.005200000000000001], [-0.017, 0.0058000000000000005], [1.9061000000000001, 0.0032], [1.9026, 0.0013000000000000002]]], "bitstrings": ["1011100", "1111100"], "total_o... | 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)) + 3.0 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + 2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"], "largest_eigenvalue": 129.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
rz(-2.096327820170651) q[0];
ry(0.2537083493680447) q[0];
rz(1.570436671091425) q[0];
rz(1.191244473143085) q[1];
ry(0.2008107508654874) q[1];
rz(-1.6963430441543206) q[1];
rz(-1.9118469528459408) q[2];
ry(0.1477573005102168) q[2];
rz(1.5833415908168567) q[2];
rz(2.2786... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | {"k": 5} | {"circuits": [], "gradients": []} | [
"IIIIIZZ",
"IIIIZZI",
"IIIIZIZ",
"IIIZIZI",
"IIIZIIZ",
"IIIZZII",
"IIZIIZI",
"IIZIIIZ",
"IIZIZII",
"IIZZIII",
"IZIIIZI",
"IZIIIIZ",
"IZIIZII",
"IZIZIII",
"IZZIIII",
"ZIIIIZI",
"ZIIIIIZ",
"ZIIIZII",
"ZIIZIII",
"ZIZIIII",
"ZZIIIII",
"IIIIIZI",
"IIIIIIZ",
"IIIIZII",
"III... | [
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
2.75,
3,
3,
3,
2.75,
2.75,
3,
2.75,
2.75,
3,
3,
3,
-10,
-10.25,
-10.25,
-10.25,
-10.25,
-9.5,
-9.5
] | 0.972257 | [
-0.08028563510993815,
-0.21555986132396174,
0.078732077463361,
-0.21601939328285985,
-0.010214764130119527,
-0.03172665130023722,
0.30548255601708946,
0.07708210515096893,
0.3715827281252511,
0.6916802821102456,
0.19367370790422986,
0.9804975452195692,
-0.10497639850611308,
0.0456723136684... | {
"n_parameters": 37,
"n_qubits": 7,
"optimal_eigenvalue": -30.5,
"target_ratio": 0.97,
"target_value": -29.585
} | 8 |
6997174771550650826 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 3, 6, 7], [2, 5, 7, 8, 9, 10], [0, 2], [4, 7]]} | {"states": [973, 461], "expectation_value": -1.0995118728110789, "params": [0.28, 0.2728, 0.8183, 0.676, 1.3048, 1.3024, 1.2892000000000001, 1.2902, 1.1491, 0.6816, 0.2584, 0.22840000000000002, 0.6544, 0.6821, 1.2990000000000002, 1.2971000000000001, 1.3018, 1.3003, 1.2973000000000001, 1.2896, 1.2663, 1.2861, 0.28900000... | 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.03333333333333333 * (Z(3) @ Z(8)) + 0.03333333333333333 * (Z(6) @ Z(8)) + 0.03333333333333... | 14 | 11 | 1 | {"smallest_eigenvalues": [-1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45, -1.45], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -1.4499999999999995, ... | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
ry(0.09279807129241693) q[0];
rz(pi/2) q[0];
ry(0.15164514305819266) q[1];
ry(1.3459389557281567) q[2];
ry(1.4174721020533085) q[3];
ry(1.2943496710141957) q[4];
ry(-0.10418797587902909) q[5];
ry(1.0768985887198745) q[6];
ry(1.9968756594735162) q[7];
ry(1.6636343018943... | OPENQASM 3.0;
include "stdgates.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": []} | [
"IIIIIIZIIZI",
"IIIZIIZIIII",
"IIIZIIIIIZI",
"IIZIIIZIIII",
"IIZIIIIIIZI",
"IIZZIIIIIII",
"IIZIIIIZIII",
"IIZIZIIIIII",
"IIIIZIIZIII",
"IZZIIIIIIII",
"IZIIIIIZIII",
"IZIIZIIIIII",
"ZIZIIIIIIII",
"ZIIIIIIZIII",
"ZIIIZIIIIII",
"ZZIIIIIIIII",
"IIZIIIIIZII",
"IIIIIIIZZII",
"IIIIZIIIZ... | [
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.08333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.03333333333333333,
0.033333333333333... | 0.971433 | [
0.09279807129241693,
0.15164514305819266,
1.3459389557281567,
1.4174721020533085,
1.2943496710141957,
-0.10418797587902909,
1.0768985887198745,
1.9968756594735162,
1.6636343018943451,
0.9393946078832173,
1.4902462173137252,
-0.052774006019384534,
0.36164494118164686,
0.054660786017394346,
... | {
"n_parameters": 43,
"n_qubits": 11,
"optimal_eigenvalue": -1.45,
"target_ratio": 0.97,
"target_value": -1.4064999999999999
} | 49 |
c437b39b5c61c8e77af7bf4313e85ab5 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6},... | {"states": [0, 2019], "expectation_value": -12.629500429918638, "params": [0.35550000000000004, -0.1348, -0.8487, 0.0015, 0.6303000000000001, -0.0658, -0.7404000000000001, 0.0058000000000000005, -0.8824000000000001, 1.2369, 0.1809, 0.008700000000000001, -1.0018, 1.1629, 0.11950000000000001, 0.0088, -1.0676, 0.873300000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + -1.5 * (Z(2) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * Z(4) + -1.5 * Z(7) + -1.5 * Z(6) + 1.5 * Z(8)... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00000011100"], "largest_eigenvalue": 14.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[11] q;
rx(-0.5447654191062646) q[0];
rz(1.3134635289791774) q[0];
rx(-0.10514618062803524) q[1];
rz(0.9776794687851584) q[1];
rx(-1.8415324420202155) q[2];
rz(1.538903401437775) q[2];
rx(-2.3861196944063465) q[3];
rz(1.5949052326168829) q[3];
rx(2.906801139281733) q[4];
rz(1.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} | [
"IIIIIIIIIZZ",
"IIIIIZZIIII",
"IIIZZIIIIII",
"IIZZIIIIIII",
"IIZIZIIIIII",
"IZIIIIIZIII",
"ZIIIIIIZIII",
"IIIIIIIZZII",
"IZIIIIIIZII",
"ZIIIIIIIZII",
"IIIIIIIIIZI",
"IIIIIIIIIIZ",
"IIIIIZIIIII",
"IIIIIIZIIII",
"IIIZIIIIIII",
"IIIIZIIIIII",
"IIZIIIIIIII",
"IIIIIIIZIII",
"IZIIIIIII... | [
-1,
-1,
-2,
-2,
-2,
-1.5,
0.5,
-2,
0.5,
-1.5,
0.5,
0.5,
0.5,
0.5,
-1.5,
-1.5,
1.5,
0.5,
0.5,
0.5,
0.5
] | 0.971549 | [
-0.5447654191062647,
-0.25733279781572044,
-0.10514618062803527,
-0.5931168580097388,
-1.8415324420202155,
-0.03189292535712223,
-2.3861196944063465,
0.024108905821986173,
-3.3763841678978537,
-0.2224406680846017,
-2.6135709386153754,
0.027550003297560827,
-0.05650294344310562,
1.106150214... | {
"n_parameters": 53,
"n_qubits": 11,
"optimal_eigenvalue": -17.5,
"target_ratio": 0.97,
"target_value": -16.974999999999998
} | 356 |
-7798177999128563354 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4, 6, 7, 8, 9, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], [0, 1, 2, 5, 6, 7, 9, 10, 11], [1, 2, 4, 5, 6, 7, 8, 9, 11], [1, 3, 4, 5, 9, 10, 11]]} | {"states": [3564, 4076], "expectation_value": -0.8099363989704476, "params": [3.1436, 0.00030000000000000003, 3.1436, 0.0051, 1.5974000000000002, 0.001, 2.7071, 0.007500000000000001, 3.1385, 0.0041, 3.1388000000000003, 0.0048000000000000004, 3.1393, 0.0019, 0.5469, 0.0088, 3.1395, 0.0073, 3.1444, 0.0, 0.4575, 0.0066, 0... | 0.05075757575757575 * (Z(5) @ Z(6)) + 0.04083694083694084 * (Z(8) @ Z(6)) + 0.026948051948051947 * (Z(8) @ Z(5)) + 0.04083694083694084 * (Z(9) @ Z(6)) + 0.026948051948051947 * (Z(9) @ Z(5)) + 0.054725829725829726 * (Z(9) @ Z(8)) + 0.04083694083694084 * (Z(10) @ Z(6)) + 0.026948051948051947 * (Z(10) @ Z(5)) + 0.04083694... | 16 | 12 | 1 | {"smallest_eigenvalues": [-0.8660173160173164, -0.8660173160173164, -0.8660173160173164, -0.8660173160173164, -0.8660173160173164, -0.8660173160173164], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.8660173160173161, "smallest_bitstrings": ["000010100001", "001000010010", "000011000001", "100111000000... | OPENQASM 3.0;
include "stdgates.inc";
qubit[12] q;
rx(-3.016433999958227) q[0];
rz(-0.04143329043250432) q[0];
rx(3.2667513072213596) q[1];
rz(0.05898012189069887) q[1];
cx q[1], q[0];
rz(0.0852798071176835) q[0];
cx q[1], q[0];
rz(-0.008957627006572905) q[1];
rx(2.26509727078965) q[2];
rz(0.11330094731951412) q[2];
rx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIZZIIIII",
"IIIZIZIIIIII",
"IIIZIIZIIIII",
"IIZIIZIIIIII",
"IIZIIIZIIIII",
"IIZZIIIIIIII",
"IZIIIZIIIIII",
"IZIIIIZIIIII",
"IZIZIIIIIIII",
"IZZIIIIIIIII",
"ZIIIIZIIIIII",
"ZIIIIIZIIIII",
"ZIIZIIIIIIII",
"ZIZIIIIIIIII",
"ZZIIIIIIIIII",
"IIIIIZIIIZII",
"IIIIIIZIIZII",
"IIIZIIIII... | [
0.05075757575757575,
0.04083694083694084,
0.026948051948051947,
0.04083694083694084,
0.026948051948051947,
0.054725829725829726,
0.04083694083694084,
0.026948051948051947,
0.04083694083694084,
0.04083694083694084,
0.06464646464646465,
0.05075757575757575,
0.054725829725829726,
0.0547258297... | 0.974118 | [
3.2667513072213596,
0.043846516685177805,
0.05898012189069887,
2.26509727078965,
0.11226197924891108,
2.938008097030232,
-0.01562009670689591,
2.955669289676827,
-0.11001633784202,
3.0677239369591356,
-0.21140232743978865,
3.1011386794455404,
0.1841927289200717,
0.13702842496912745,
0.32... | {
"n_parameters": 33,
"n_qubits": 12,
"optimal_eigenvalue": -0.8660173160173164,
"target_ratio": 0.97,
"target_value": -0.8400367965367969
} | 7 |
-7637694632116865901 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [0, 7], [5, 6], [3, 7], [3, 6], [2, 7], [0, 3], [2, 3], [8, 3], [0, 8], [2, 5], [8, 1], [8, 2], [1, 5], [1, 7], [8, 5]]} | {"states": [43, 468], "expectation_value": -0.054818545995156356, "params": [[0.0478], [-0.0362]], "bitstrings": ["111010100", "000101011"], "total_optimization_steps": 10, "probabilities": [0.002090465769308804, 0.002090465769308804], "optimization_time": 0.7291479110717773} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["111010100", "000101011"], "largest_eigenvalue": 8.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
rx(-0.15304578621687037) q[0];
rz(0.4263485136038625) q[0];
rx(0.2935288427960847) q[1];
rz(-0.34268834914230517) q[1];
cx q[1], q[0];
rz(0.2796573838973316) q[0];
cx q[1], q[0];
rx(0.055212166220317584) q[0];
rz(0.6998398251375355) q[0];
rx(-0.2904919632516316) q[1];
r... | 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[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[6], q[5];
rz(x0) q[5];
cx q[6], q[5];... | null | {"circuits": [], "gradients": []} | [
"IZIIZIIII",
"IZIIIIIIZ",
"IIZZIIIII",
"IZIIIZIII",
"IIIIIZIIZ",
"IIZIIZIII",
"IZIIIIZII",
"IIIZIIZII",
"IIIIIZZII",
"ZIIIIIIIZ",
"ZIIZIIIII",
"ZIIIIZIII",
"ZIIIIIZII",
"IZIIIIIZI",
"IIIZIIIZI",
"ZIIIIIIZI",
"IZIIIIIII",
"IIIIZIIII",
"IIIIIIIIZ",
"IIZIIIIII",
"IIIZIIIII",
"... | [
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
] | 0.970946 | [
-0.15304578621687037,
0.7060058975011931,
0.2935288427960847,
-0.34268834914230517,
-0.2528256248949813,
-0.31793575917132644,
1.5272793914003095,
0.019618470687843254,
0.4528526012600726,
0.47405395373446163,
0.6285134650787242,
-0.40919194650796625,
0.24162702305960326,
-0.55098318914410... | {
"n_parameters": 42,
"n_qubits": 9,
"optimal_eigenvalue": -5,
"target_ratio": 0.97,
"target_value": -4.85
} | 41 |
3627ca338bedf0b19f724facd2ae387b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [242, 186], "expectation_value": -12.804455741445105, "params": [[-0.025900000000000003], [0.0784]], "bitstrings": ["100001101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.003790467209049371, 0.004069654803388589], "optimization_time": 1.908231496810913} | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(7) @ Z(8)) + -3.5 * Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["101000101"], "largest_eigenvalue": 167.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[9] q;
h q[0];
h q[1];
cx q[0], q[1];
rz(-0.010347268463662573) q[1];
cx q[0], q[1];
rz(1.8223710586788986) q[0];
rx(1.5048225257592662) q[0];
h q[2];
h q[3];
h q[4];
cx q[1], q[4];
rz(-0.010347268463662573) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.010347268463662573) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} | [
"IIIIIIIZZ",
"IIIIZIIZI",
"IIIIZZIII",
"IIIZZIIII",
"IIIZIZIII",
"IIIIZIZII",
"IIIIIZZII",
"IIIZIIZII",
"IIZIIZIII",
"ZIIIIIIZI",
"ZIIIZIIII",
"IZIIIZIII",
"IZZIIIIII",
"ZZIIIIIII",
"IIIIIIIIZ",
"IIIIIIIZI",
"IIIIZIIII",
"IIIIIZIII",
"IIIZIIIII",
"IIIIIIZII",
"IIZIIIIII",
"... | [
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
5,
-3.5,
13,
23,
22.5,
11,
6,
2,
9.5,
13.5
] | 0.971084 | [
-0.010347268463662573,
1.8223710586788984,
-1.6058852271547814,
-1.334514772873394,
-1.3704516186039966,
-1.4946885929173335,
1.4505084764070844,
1.4091655359015922,
1.0130989689087555,
-1.726469770017766,
1.5048225257592664
] | {
"n_parameters": 11,
"n_qubits": 9,
"optimal_eigenvalue": -89,
"target_ratio": 0.97,
"target_value": -86.33
} | 47 |
9b8c0ccb32d0f88d964f624767035a96 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [1, 9], "expectation_value": -11.499987376023428, "params": null, "bitstrings": ["11111110", "11110110"], "total_optimization_steps": 32, "probabilities": [1.2623237149556206e-05, 0.9999873766793562], "optimization_time": 29.764601469039917} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + 2.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + -0.75 * Z(6) + 0.75 * Z(2) + -1.0 * Z(3) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11110110"], "largest_eigenvalue": 12.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(0.39636875710932784) q[0];
cx q[1], q[0];
h q[2];
cx q[1], q[2];
rz(-0.025445399608615533) q[2];
cx q[1], q[2];
rz(0.7435363741497949) q[1];
rx(1.5892963016699295) q[1];
h q[3];
h q[4];
cx q[0], q[4];
rz(-0.025383228227577177) q[4];
cx ... | 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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... | [
"IIIIIIZZ",
"IIIZIIIZ",
"IZIIIIIZ",
"IIIIIZZI",
"IIIZZIII",
"IIIIZZII",
"IIZIIZII",
"IIZIZIII",
"ZIIIIIIZ",
"ZIIZIIII",
"IIIIIIZI",
"IIIIIIIZ",
"IIIZIIII",
"IZIIIIII",
"IIIIIZII",
"IIIIZIII",
"IIZIIIII",
"ZIIIIIII"
] | [
-0.75,
-0.5,
-0.75,
-1.25,
-0.25,
-0.75,
-0.25,
-1.5,
2.25,
-0.75,
-1,
-0.25,
0.5,
-0.75,
0.75,
-1,
0.25,
1.5
] | 0.928057 | [
0.39636875710932784,
-0.025383228227577177,
-0.025445399608615533,
0.48494604258427165,
-0.12110685350730785,
-0.06267444957194843,
0.7435363741497948,
-0.5272969720301025,
0.8112275368431179,
0.6305407508444273,
-0.6721587925890405,
1.5892963016699295,
0.6494780915974173,
-0.0574263798070... | {
"n_parameters": 24,
"n_qubits": 8,
"optimal_eigenvalue": -11.5,
"target_ratio": 0.97,
"target_value": -11.155
} | 500 |
86d59c6096ff3db0c9f906cf39a44678 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [112, 116], "expectation_value": -2.6779484481569864, "params": [[[0.33430000000000004, 0.00030000000000000003, 0.0, 0.0079], [0.0834, -0.2509, 0.8451000000000001, 0.0172], [0.7407, 0.0007, -0.6532, -0.1981], [0.43910000000000005, -0.00030000000000000003, 0.8982, 0.024], [-0.451, -0.012100000000000001, -0.83... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(3) @ Z(1)) + -0.125 * (Z(0) @ Z(3) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3) @ Z(1) @ Z(2)) + 0.5 * (Z(1... | 11 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["10011100", "10001110", "10001101", "10001011"], "largest_eigenvalue": 6.625} | OPENQASM 3.0;
include "stdgates.inc";
qubit[8] q;
ry(0.05049139946254623) q[0];
rz(-0.09933335044222243) q[0];
ry(0.27528646429191717) q[1];
ry(0.6107330137258111) q[2];
ry(0.3789950043204468) q[3];
ry(-0.1610920758970278) q[4];
ry(0.12498998550055158) q[5];
ry(0.27487493384819495) q[6];
ry(-0.12526634167563194) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} | [
"IIIIIIZZ",
"IIIIIZIZ",
"IIIIZIIZ",
"IIIIIZZI",
"IIIIZIZI",
"IIIIZZII",
"IIIIIZZZ",
"IIIIZIZZ",
"IIIIZZIZ",
"IIIIZZZI",
"IIIIZZZZ",
"IIIZIIZI",
"IZZIIIII",
"ZIZIIIII",
"IIIZIZII",
"IZIIZIII",
"ZIIIZIII",
"ZZIIIIII",
"ZZIIZIII",
"IIIIIIIZ",
"IIIIIIZI",
"IIIIIZII",
"IIIIZII... | [
0.125,
0.125,
0.125,
0.125,
0.125,
0.125,
-0.125,
-0.125,
-0.125,
-0.125,
0.125,
0.5,
0.5,
0.5,
0.5,
0.25,
0.25,
0.25,
-0.25,
-0.625,
-0.125,
-0.125,
0.125,
-0.5,
-0.5,
-0.25,
-0.25
] | 0.970031 | [
0.05049139946254623,
0.27528646429191717,
0.6107330137258111,
0.3789950043204468,
-0.1610920758970278,
0.12498998550055158,
0.27487493384819495,
-0.12526634167563194,
-0.19866670088444485,
-0.1323850263270601,
0.10942892745411728,
-0.022358684175951493,
0.11800745900973109,
-0.005700302272... | {
"n_parameters": 122,
"n_qubits": 8,
"optimal_eigenvalue": -3.375,
"target_ratio": 0.97,
"target_value": -3.2737499999999997
} | 8 |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.165815699098031, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 28.60230588912964} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"], "largest_eigenvalue": 14.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
ry(-0.2133399821377441) q[0];
rz(-pi) q[0];
h q[1];
ry(0.7495760698632566) q[1];
h q[2];
ry(-0.08887877219422799) q[3];
rz(-pi) q[3];
ry(-0.19278541536231975) q[4];
rz(-pi) q[4];
h q[5];
ry(1.391295280431935) q[5];
cx q[5], q[4];
ry(-0.3176700012489248) q[4];
cx q[5], q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... | [
"IIZIIZ",
"IZZIII",
"IZIIIZ",
"ZIIIIZ",
"IZIIZI",
"ZIIIZI",
"IIZZII",
"IZIZII",
"IIZIII",
"IIIIIZ",
"IZIIII",
"ZIIIII",
"IIIIZI",
"IIIZII"
] | [
-1.5,
-2.25,
-1.75,
3.5,
-1.25,
-0.5,
-0.5,
-1,
-1.25,
-0.25,
-2.75,
3,
1.75,
-0.5
] | 0.975641 | [
1.391295280431935,
-2.0329462789083035,
-1.6956809126815016,
-1.1529907529787395,
0.6353400024978496,
-0.45032158544803697,
-0.6578536032438583,
1.4991521397265133,
-0.28415573829494634,
-1.8771011169893437,
0.14516579000424013,
1.3509798685023018,
-0.8662456018688108,
-1.517406511507313,
... | {
"n_parameters": 23,
"n_qubits": 6,
"optimal_eigenvalue": -19.25,
"target_ratio": 0.97,
"target_value": -18.6725
} | 21 |
86f7cf811774c9dc1f8ac7ebefafd51c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 4}]} | {"states": [28, 35], "expectation_value": -0.3127229501781732, "params": [[-0.0579, -0.0514, -0.0567], [0.0726, 0.058800000000000005, 0.065]], "bitstrings": ["100011", "011100"], "total_optimization_steps": 10, "probabilities": [0.022121791454124316, 0.02244861791459339], "optimization_time": 2.773797035217285} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "010101", "011100", "100011", "100101"], "largest_eigenvalue": 4.5} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
cx q[1], q[0];
rz(-3.0790389152662755e-08) q[0];
cx q[1], q[0];
rz(1.5707962985663944) q[0];
rx(1.5707963327959067) q[0];
h q[2];
cx q[1], q[2];
rz(-1.5707963227011057) q[2];
cx q[1], q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(-3.0790389152662755e-08) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIZI",
"ZIIZII",
"ZIZIII",
"IZZIII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IIIZII",
"IIZIII",
"IZIIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
0,
-1,
0,
-0.5,
0
] | 0.833806 | [
-3.0790389152662755e-8,
-1.5707963227011057,
-2.208195592934281,
1.5707962985663946,
-0.09859111269968171,
1.5707963327959067
] | {
"n_parameters": 6,
"n_qubits": 5,
"optimal_eigenvalue": -3.75,
"target_ratio": 0.97,
"target_value": -3.6374999999999997
} | 168 |
26d7f56e59bfdf48052023802b40605b | kclique | 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": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [6, 3], "expectation_value": -3.1503841382870243, "params": [[0.07150000000000001, 0.0712], [-0.07690000000000001, -0.0695]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.05464349930895325, 0.05652887053837504], "optimization_time": 2.309382438659668} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (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)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 18 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"], "largest_eigenvalue": 31.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
ry(1.2499764251158545) q[0];
ry(-3.131892145691064) q[1];
rz(-pi) q[1];
cx q[0], q[1];
ry(-0.044478645155635405) q[1];
cx q[0], q[1];
ry(0.12664230797643383) q[0];
h q[2];
ry(1.5166171737405318) q[2];
ry(-0.03588918412791559) q[3];
rz(-pi) q[3];
ry(-0.0607466333... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} | [
"IIIZZ",
"IIZZI",
"IIZIZ",
"IZIZI",
"IZIIZ",
"IZZII",
"ZIIZI",
"ZIIIZ",
"ZIZII",
"ZZIII",
"IIIZI",
"IIIIZ",
"IIZII",
"IZIII",
"ZIIII"
] | [
1.75,
1.75,
1.75,
2,
2,
1.75,
1.75,
2,
2,
2,
-2.75,
-2.5,
-2.75,
-2.25,
-2.25
] | 0.996768 | [
-1.542809730398753,
-1.422554814258884,
1.2499764251158545,
1.5166171737405318,
-0.17498975827594188,
0.08895729031127081,
0.07763652938393162,
0.25328461595286766,
0.0158051754635434,
-0.01985291831550096,
-0.1417123084039368,
-0.06160524380502602,
-0.0461715348705158
] | {
"n_parameters": 13,
"n_qubits": 5,
"optimal_eigenvalue": -3,
"target_ratio": 0.97,
"target_value": -2.91
} | 1 |
8e4b273e62e3bdbcb042f56fe9c0bd31 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 11], "expectation_value": -0.696224734184606, "params": [[-0.0717, -0.062200000000000005, -0.0635, -0.0454], [0.0771, 0.06670000000000001, 0.0665, 0.058800000000000005]], "bitstrings": ["101001", "110100"], "total_optimization_steps": 10, "probabilities": [0.029652384406982958, 0.02965238440698296], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "110100", "101100"], "largest_eigenvalue": 6.0} | OPENQASM 3.0;
include "stdgates.inc";
qubit[6] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.003570858544960076) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.003570858544960076) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.003570858544960076) q[1];
cx q[1], q[0];
rz(-0.11726358043627519) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} | [
"IIIIZZ",
"ZIIIIZ",
"IZIIIZ",
"IIIZZI",
"ZIZIII",
"IIZZII",
"IIIIZI",
"IIIIIZ",
"ZIIIII",
"IZIIII",
"IIIZII",
"IIZIII"
] | [
0.5,
0.5,
0.5,
0.5,
0.5,
0.5,
-0.5,
-1,
-0.5,
0,
-0.5,
-0.5
] | 0.762533 | [
0.003570858544960076,
-0.11726358043627519,
-0.6462594328548128,
1.611929135236777,
0.6371699566376291,
0.9513101502862553,
0.03572501092869963,
0.07116209703665359,
-1.4784117063539257,
-0.06107024763807288,
0.8005656144892781,
0.538238114406948
] | {
"n_parameters": 12,
"n_qubits": 6,
"optimal_eigenvalue": -3.25,
"target_ratio": 0.97,
"target_value": -3.1525
} | 320 |
e087bb7a2ab5b6cd6822b49db98164ad | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4... | {"states": [39, 47], "expectation_value": -5.062697837579946, "params": null, "bitstrings": ["1011000", "1010000"], "total_optimization_steps": 38, "probabilities": [0.3117844399029031, 0.3119944309396887], "optimization_time": 33.68084001541138} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + 1.0 * Z(4) + -0.25 * Z(0) + 0.5 * Z(5) + 0.5 * Z(1) + -2.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.25, "smallest_bitstrings": ["1010000", "1000000", "1110100", "1011000", "1111100"], "largest_eigenvalue": 8.75} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
ry(-0.684079612108113) q[0];
h q[1];
h q[2];
ry(-1.6130910725056342) q[2];
h q[3];
h q[4];
ry(0.8705312656325608) q[4];
cx q[1], q[4];
ry(-0.8705312656325608) q[4];
cx q[1], q[4];
ry(0.5638362462260424) q[1];
cx q[4], q[1];
ry(-0.5638362462260424) q[1];
cx q[4],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... | [
"IIZIIIZ",
"IZIIIIZ",
"IIZIIZI",
"IIZIZII",
"IZIIZII",
"IIIIZZI",
"IIIZZII",
"ZIZIIII",
"ZIIIIIZ",
"ZZIIIII",
"IIZIIII",
"IIIIIIZ",
"IZIIIII",
"IIIIIZI",
"IIIIZII",
"IIIZIII",
"ZIIIIII"
] | [
-0.5,
-0.5,
-1.25,
-0.75,
-0.25,
-0.75,
-0.25,
-0.5,
1.25,
-0.75,
1,
-0.25,
0.5,
0.5,
-2,
0.25,
0
] | 0.971879 | [
-1.6130910725056342,
1.7410625312651216,
1.127672492452085,
-1.368159224216226,
1.3090628769470818,
-0.18059820948263738,
1.4980182789583685,
0.09301418289946432,
-0.5987902664515456,
0.00709990805003651,
0.28724048981292466,
0.025051227171103974,
-0.11161857880706907,
-0.10313587200409623... | {
"n_parameters": 25,
"n_qubits": 7,
"optimal_eigenvalue": -5.25,
"target_ratio": 0.97,
"target_value": -5.0925
} | 9 |
9191824481129773496 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3, 4], [1, 2], [0, 4], [1, 3], [1, 4]]} | {"states": [13, 7], "expectation_value": -1.7833539004743235, "params": null, "bitstrings": ["10010", "11000"], "total_optimization_steps": 30, "probabilities": [0.029660531059279086, 0.8653218570070772], "optimization_time": 23.991721630096436} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["11000"], "largest_eigenvalue": 2.9999999999999996} | OPENQASM 3.0;
include "stdgates.inc";
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(0.08984881639627826) q[2];
cx q[3], q[2];
h q[4];
cx q[3], q[4];
rz(0.08984881639627826) q[4];
cx q[3], q[4];
cx q[2], q[4];
cx q[3], q[1];
rz(-0.850851132979557) q[1];
cx q[3], q[1];
rz(0.08984881639627851) q[3];
rx(0.7... | 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];\ncry(-1.0342) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... | [
"IZZII",
"ZZIII",
"ZIZII",
"IZIZI",
"IIZZI",
"ZIIZI",
"ZIIIZ",
"IZIII",
"IIZII",
"ZIIII",
"IIIZI",
"IIIIZ"
] | [
0.16666666666666666,
0.16666666666666666,
0.16666666666666666,
0.5,
0.5,
0.5,
0.5,
0.16666666666666663,
0.16666666666666663,
0.16666666666666674,
0,
0
] | 0.479021 | [
0.08984881639627826,
-0.850851132979557,
-0.0785878081135666,
0.7577349829961233
] | {
"n_parameters": 4,
"n_qubits": 5,
"optimal_eigenvalue": -1.9999999999999998,
"target_ratio": 0.97,
"target_value": -1.9399999999999997
} | 109 |
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": 80.95791912078857} | 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 ... | 18 | 7 | 1 | {"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 |
d0689a6dbeb7a066dbec17f8f325db83 | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 2, "target": 1... | {"states": [0, 1], "expectation_value": -4.900079483944955, "params": [0.0025, 0.2538, 0.004200000000000001, 0.2959, 0.0027, 0.3104, 0.0015, 0.3059, 0.30970000000000003, 0.1075, 0.3151, 0.0039000000000000003, 0.4057, 0.0036000000000000003, 0.0074, 0.2378, 0.0017000000000000001, 0.31520000000000004, 0.0047, 0.3109, 0.00... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(6) + -1.0 * Z(1) + 1.0 * Z(4) + 0.75 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.75, "smallest_bitstrings": ["1111110", "1111100", "1111010", "1111000"], "largest_eigenvalue": 10.25} | OPENQASM 3.0;
include "stdgates.inc";
qubit[7] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[0];
rz(0.06898382804863952) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.9136619903538868) q[1];
cx q[2], q[1];
h q[3];
cx q[0], q[3];
rz(0.5171590410598331) q[3];
cx q[0], q[3];
rz(0.5171590410598332) q[3];
rx(1.1733415603473807) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} | [
"IIIIZIZ",
"IIIZIIZ",
"ZIIIIIZ",
"IIIIZZI",
"IIZIZII",
"IZIIIZI",
"IIIIZII",
"IIIIIIZ",
"IIIZIII",
"ZIIIIII",
"IIIIIZI",
"IIZIIII",
"IZIIIII"
] | [
-0.5,
-0.75,
1.5,
-0.25,
-1,
-0.75,
-1.25,
-0.25,
-0.75,
1.5,
-1,
1,
0.75
] | 0.592362 | [
0.06898382804863952,
0.5171590410598331,
-0.8546453602015381,
0.9136619903538868,
0.22139306930217686,
1.2118619337300773,
-1.3839135840822527,
-1.3195322834720893,
1.1733415603473807
] | {
"n_parameters": 9,
"n_qubits": 7,
"optimal_eigenvalue": -7.75,
"target_ratio": 0.97,
"target_value": -7.5175
} | 208 |
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