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 128 2.57k | circuit_with_params stringlengths 106 17.5k | circuit_with_symbols stringlengths 146 19.5k ⌀ | problem_specific_attributes stringclasses 116
values | adaptive_process stringlengths 33 186k |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
74e5b8afd1f04f850c8f51ecde3fef19 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": ... | {"states": [970, 971], "expectation_value": -2.5720363551982044, "params": [0.8872, -0.0302, 1.0585, 0.0397, 1.0617, 0.0187, 1.0891, -0.2348, 0.3614, -0.43810000000000004, 0.010700000000000001, -0.5244, 0.9228000000000001, 0.0316, -0.0038, 0.5744, 1.0434, 0.0884, 0.6459, 0.0949, 0.8773000000000001, -0.02590000000000000... | 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... | 18 | 10 | 3 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.4375, "smallest_bitstrings": ["0000110100", "1000000101", "0001010010", "0010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8872) q[0];
rz(-0.0302) q[0];
rx(1.0585) q[1];
rz(0.0397) q[1];
rx(1.0617) q[2];
rz(0.0187) q[2];
rx(1.0891) q[3];
rz(-0.2348) q[3];
rx(0.3614) q[4];
rz(-0.4381) q[4];
rx(0.0107) q[5];
rz(-0.5244) q[5];
rx(0.9228) q[6];
rz(0.0316) q[6];
rx(-0.0038) 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": []} |
-886717712420299134 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [0, 4], [4, 6], [1, 3], [5, 7], [2, 7], [0, 5], [6, 7], [4, 7], [1, 6], [1, 5], [0, 3], [1, 2], [0, 6], [5, 6]]} | {"states": [236, 193], "expectation_value": -3.677426743424258, "params": null, "bitstrings": ["00010011", "00111110"], "total_optimization_steps": 64, "probabilities": [0.0392635542707374, 0.6837838402549153], "optimization_time": 102.34120774269104} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00111110", "11000001"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[1], q[3];
ry(1.0293) q[1];
cry(1.4052) q[1], q[0];
cry(-0.9035) q[0], q[3];
cry(-0.7688) q[1], q[6];
cry(-1.3837) q[7], q[2];
ry(1.1679) q[7];
cry(-0.7245) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
6a865e73d4e6861d0009457718f7c0e7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [98, 97], "expectation_value": -6.496464163110725, "params": null, "bitstrings": ["0011101", "0011110"], "total_optimization_steps": 31, "probabilities": [0.06634837994160867, 0.9303663571668517], "optimization_time": 30.372998237609863} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * Z(2) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0011101", "0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(-1.0343) q[6], q[5];
ry(0.7003) q[6];
ry(-0.4549) q[5];
cry(0.4963) q[1], q[6];
cry(-0.3789) q[1], q[5];
cry(0.2... | 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[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", ... |
1e277e87feb79246d4c3112af02a6a4a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [189, 188], "expectation_value": -26.59874599008499, "params": [[-0.0345, -0.006, 0.027600000000000003], [0.0787, 0.0653, 0.0227]], "bitstrings": ["101000010", "101000011"], "total_optimization_steps": 10, "probabilities": [0.007574105377987188, 0.009560030610306157], "optimization_time": 5.885106801986694} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3105) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3105) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.3105) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.3105) q[4];
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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [31725, 47085], "expectation_value": -14.369562213359753, "params": [[-0.1358, -0.34990000000000004, -0.7070000000000001, -0.8242], [0.5325, 0.2755, 0.2094, 0.1283]], "bitstrings": ["1000010000010010", "0100100000010010"], "total_optimization_steps": 200, "probabilities": [0.013504355774460741, 0.01350435577... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.1358) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1358) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1358) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} |
-8192543257949941671 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1, 0], [0, 2, 3, 8, 10], [3, 5, 7, 8, 9, 10], [0, 2, 6, 7, 8, 9], [1, 2, 4, 5, 9], [1, 2, 3, 6, 9], [1, 3, 5, 7, 10], [0, 4], [0, 6, 7, 8, 9, 10], [1, 2, 3, 6, 10], [0, 2, 3, 5, 6, 10], [0, 2, 3, 6, 7, 9], [8, 10, 4], [8, 4, 5, 6], [1, 5, 6, 8, 10], [2, 3... | {"states": [1470, 1468], "expectation_value": -4.881964917330982, "params": null, "bitstrings": ["01001000001", "01001000011"], "total_optimization_steps": 88, "probabilities": [0.12921335176113735, 0.7037504830188175], "optimization_time": 3482.6569259166718} | 0.35 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.2833333333333333 * (Z(0) @ Z(8)) + 0.44999999999999996 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(8)) + 0.15 * (Z(2) @ Z(0)) + 0.2 * (Z(3) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(8)) + 0.11666666666666667 * (Z(3) @ Z(0)) + 0.4333333333333333 * (Z(3... | 9 | 11 | 1 | {"smallest_eigenvalues": [-5.0500000000000025], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.933333333333337, "smallest_bitstrings": ["01001000011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5706) q[8];
ry(1.5679) q[2];
ry(1.5456) q[5];
cry(-1.0898) q[0], q[4];
ry(1.0419) q[0];
cry(-0.7028) q[5], q[4];
ry(1.0981) q[3];
cry(-0.9697) q[7], q[1];
ry(0.8763... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = me... |
8cee4ec4af0083f7c6f85330b1ae140c | 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": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 7}, {"sour... | {"states": [175, 143], "expectation_value": -2.388794074184293, "params": [[[0.6192000000000001, -0.1379], [0.9094000000000001, -0.0026000000000000003], [0.0757, 0.40890000000000004], [0.7341000000000001, 0.0426], [0.0017000000000000001, 0.4691], [0.8450000000000001, -0.0012000000000000001], [0.8931, -0.0023], [0.90050... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.0 * Z(6) + -0.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) + -0.5 * Z(5) + 0.0 * Z(3) + 0.0 * Z(8) | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011010", "001011100", "001110100", "101011000", "101110000", "100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6192) q[0];
rz(-0.1379) q[0];
rx(0.9094) q[1];
rz(-0.0026) q[1];
rx(0.0757) q[2];
rz(0.4089) q[2];
rx(0.7341) q[3];
rz(0.0426) q[3];
rx(0.0017) q[4];
rz(0.4691) q[4];
rx(0.845) q[5];
rz(-0.0012) q[5];
rx(0.8931) q[6];
rz(-0.0023) q[6];
rx(0.9005) q[7];
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": []} |
a7b6961c0e010c5cd9220aed7c02d87e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [9, 11], "expectation_value": -4.277427622784737, "params": [[[-0.0026000000000000003, 0.0036000000000000003], [0.0025, 0.0044], [1.6281, 0.001], [0.0026000000000000003, 0.0016], [-1.6205, 0.0025], [3.1397, 0.0024000000000000002]]], "bitstrings": ["110110", "110100"], "total_optimization_steps": 480, "probab... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0026) q[0];
rz(0.0036) q[0];
rx(0.0025) q[1];
rz(0.0044) q[1];
rx(1.6281) q[2];
rz(0.001) q[2];
rx(0.0026) q[3];
rz(0.0016) q[3];
rx(-1.6205) q[4];
rz(0.0025) q[4];
rx(3.1397) q[5];
rz(0.0024) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measur... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
41e371d8cc4122e6ac05fda4a9a733df | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 1, "so... | {"states": [15, 1], "expectation_value": -0.9201442506914903, "params": [[-0.036500000000000005, -0.0609, -0.07540000000000001], [0.009000000000000001, 0.0631, 0.0722]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.050549769875411946, 0.05542009135621644], "optimization_time": 2... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + 0.75 * Z(1) + 0.0 * Z(2) + 0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.073) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0548) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.073) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.0913) q[2];
cx q[1], q[2];
cx q[3], q[4];
rz(0.0183) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-7444022438057549674 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [1, 2, 3, 4, 6], [8, 2], [2, 7], [0, 6], [0, 5]]} | {"states": [124, 92], "expectation_value": -2.3960442016384342, "params": null, "bitstrings": ["110000011", "110100011"], "total_optimization_steps": 70, "probabilities": [0.28325127631115277, 0.28595280631995884], "optimization_time": 110.44090414047241} | 0.5 * (Z(4) @ Z(7)) + 0.05 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.7, -2.7, -2.7, -2.7, -2.7, -2.7, -2.7], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["000101111", "100100011", "010001111", "101010000", "110100011", "110000011", "000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[6], q[0];
ry(0.8763) q[6];
cry(-0.7717) q[5], q[0];
cry(1.1635) q[6], q[5];
cry(-1.0342) q[4], q[7];
ry(0.8222) q[4];
cry(-0.7531) q[2], q[7];
cry(1.1816) q[4], q[2];
cry(-1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
92e0d9744e7b0376f2c61fec7a621b77 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [25, 56], "expectation_value": -0.3670278439614746, "params": [[-0.0654, -0.0636], [0.0755, 0.0716]], "bitstrings": ["100110", "000111"], "total_optimization_steps": 10, "probabilities": [0.020285736851846377, 0.02102696592574819], "optimization_time": 3.081116199493408} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["000111", "100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0654) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0654) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0654) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0654) q[5];
cx q[4], q[5];
cx q[3], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
6243731250414144704 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 3], [0, 2, 4], [0, 1]]} | {"states": [14, 17], "expectation_value": -0.015144941094397783, "params": [[0.0506], [-0.0431]], "bitstrings": ["10001", "01110"], "total_optimization_steps": 10, "probabilities": [0.03211253255240033, 0.0322034481866495], "optimization_time": 0.39990234375} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666663 * Z(4) + 0.0 * Z(3) + 0.16666666666666674 * Z(0) + 0.16666666666666666 * Z(2) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.8333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.0506) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.0169) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(0.0506) q[0];
cx q[3], q[0];
cx q[4], q[2];
rz(0.0169) q[2];
cx q[4], q[2];
cx q[0], q[2];
rz(0.0169) q[2];
... | 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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x1) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[4], q[... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [2, 4], "expectation_value": -0.036218082120466566, "params": [[0.0673], [-0.0609]], "bitstrings": ["101", "011"], "total_optimization_steps": 10, "probabilities": [0.128081204947236, 0.128081204947236], "optimization_time": 1.7833888530731201} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0673) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0673) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0673) q[1];
cx q[2], q[1];
rz(-0.0673) q[0];
rz(-0.0673) q[1];
rz(-0.0673) q[2];
h q[0];
rz(-0.1218) q[0];
h q[0];
h q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
rz(x1) q[0];
rz(x1) q[1];
rz(x1) q[2];
h q[0];
... | null | {"circuits": [], "gradients": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | 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": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [115, 109], "expectation_value": -26.210446011763544, "params": null, "bitstrings": ["10001100", "10010010"], "total_optimization_steps": 100, "probabilities": [0.05170992486323557, 0.25272770625815333], "optimization_time": 188.78733086585999} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(34.778) q[5];
ry(16.89) q[2];
ry(7.4007) q[1];
cry(-9.3515) q[1], q[5];
cry(4.1324) q[4], q[5];
ry(10.2167) q[3];
ry(3.4375) q[7];
ry(-1.6347) q[6];
cry(-56.9651) q[1], q[7];
cry(0.4107) q[4], ... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[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[... |
-4777664768641089424 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 1, 11], [0, 1, 10], [0, 1, 4, 9, 11], [0, 10, 7], [11, 6], [0, 3, 4, 8, 11], [8, 9, 11, 4], [3, 4, 5], [2, 5, 7, 8, 11], [2, 4, 5, 7, 11], [4, 5, 6, 9, 10], [8, 1, 3, 5], [2, 3, 4, 6, 8], [1, 10, 5, 6], [8, 2, 10, 7], [1, 2], [5, 6, 8, 9, 10], [2, 4, ... | {"states": [3023, 2895], "expectation_value": -3.1992550518045935, "params": [1.193, 0.0194, 0.7853, 0.0079, 1.1892, -0.018000000000000002, 1.1807, 0.0071, 1.1943000000000001, 0.020900000000000002, 0.8161, 0.0063, 1.1938, 0.029900000000000003, 1.1168, 0.00030000000000000003, 1.1718, -0.11670000000000001, 0.9765, 0.0023... | 0.25 * (Z(3) @ Z(1)) + 0.21666666666666667 * (Z(11) @ Z(1)) + 0.21666666666666667 * (Z(11) @ Z(3)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(3)) + 0.1 * (Z(0) @ Z(11)) + 0.25 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(3)) + 0.05 * (Z(10) @ Z(11)) + 0.3333333333333333 * (Z(10) @ Z(0)) + 0.05 * (Z(4) @ Z(1)) + 0... | 6 | 12 | 1 | {"smallest_eigenvalues": [-5.050000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.733333333333334, "smallest_bitstrings": ["010010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.193) q[0];
rz(0.0194) q[0];
rx(1.1892) q[1];
rz(-0.018) q[1];
rx(1.1943) q[2];
rz(0.0209) q[2];
rx(1.1938) q[3];
rz(0.0299) q[3];
rx(1.1718) q[4];
rz(-0.1167) q[4];
rx(1.1895) q[5];
rz(0.0325) q[5];
rx(1.1971) q[6];
rz(0.0145) q[6];
rx(1.1938) q[7];
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": []} |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [50172, 58364], "expectation_value": -22.908228660427916, "params": [[0.0824], [-0.3703]], "bitstrings": ["0011110000000011", "0001110000000011"], "total_optimization_steps": 40, "probabilities": [0.00037942523101758475, 0.00040293630840077145], "optimization_time": 10.757580518722534} | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 1 | 16 | 1 | {"smallest_eigenvalues": [-37.62499999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999983, "smallest_bitstrings": ["0001110000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1442) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1442) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0721) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
05e37fdcc559b4ea28aee1cdec9b62c6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 28], "expectation_value": -5.496515547877275, "params": null, "bitstrings": ["1110010", "1100011"], "total_optimization_steps": 26, "probabilities": [0.06700896400246145, 0.9297460623246107], "optimization_time": 22.529227256774902} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -2.5 * Z(5) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011010", "1100011", "0101011", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
ry(-1.4449) q[0];
ry(1.4449) q[4];
ry(1.4417) q[3];
cry(-1.0398) q[2], q[6];
ry(0.7022) q[2];
ry(-0.4578) q[6];
cry(0.497) q[4], q[2];
cry(-0.3761) q[4], q[6];
cry(0.24... | 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", ... |
b09b88751dc0bea856ecb5247f5ab392 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [224, 97], "expectation_value": -5.7658196654380784, "params": [0.8982, -0.3064, 0.8868, 0.0055000000000000005, 0.894, -0.4097, 0.8899, 0.0036000000000000003, 0.909, -0.43310000000000004, 0.9012, 0.0023, 0.892, -0.3655, 0.8906000000000001, 0.0097, 0.0028, -0.49250000000000005, 0.0028, 0.0025, 0.0044, 0.49350... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.0, "smallest_bitstrings": ["11001110", "00011111", "10011110", "01001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8982) q[0];
rz(-0.3064) q[0];
rx(0.894) q[1];
rz(-0.4097) q[1];
rx(0.909) q[2];
rz(-0.4331) q[2];
rx(0.892) q[3];
rz(-0.3655) q[3];
rx(0.0028) q[4];
rz(-0.4925) q[4];
rx(0.0044) q[5];
rz(0.4935) q[5];
rx(-0.0024) q[6];
rz(0.4739) q[6];
rx(0.8965) q[7];
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": []} |
159564a9a71f2785631eb8436cb826ea | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 8}, {"source": 7, "target":... | {"states": [240, 255], "expectation_value": -8.135505741232063, "params": [-0.0028, 0.8355, 0.0001, 0.8794000000000001, 0.42050000000000004, -0.005, 0.9669000000000001, -0.0098, 0.29760000000000003, 0.0867, 1.1665, -0.0257, 0.198, 0.37560000000000004, 1.3252000000000002, -0.0713, 0.3017, 0.2751, 1.3096, -0.0813, 1.3782... | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + -0.5 * Z(0) | 6 | 9 | 2 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0028) q[0];
rz(0.8355) q[0];
rx(0.4205) q[1];
rz(-0.005) q[1];
rx(0.2976) q[2];
rz(0.0867) q[2];
rx(0.198) q[3];
rz(0.3756) q[3];
rx(0.3017) q[4];
rz(0.2751) q[4];
rx(1.3782) q[5];
rz(-0.4836) q[5];
rx(-1.3442) q[6];
rz(-0.4739) q[6];
rx(-1.0215) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
888830106765927976 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5], [1, 4, 6], [0, 5], [1, 4, 5], [3, 6], [0, 3], [0, 1, 2], [0, 4], [2, 4], [1, 3, 4], [1, 3, 5]]} | {"states": [115, 46], "expectation_value": -1.3593207055902965, "params": [[-0.3438], [0.35000000000000003]], "bitstrings": ["0001100", "1010001"], "total_optimization_steps": 40, "probabilities": [0.02947216248180028, 0.029679595602602103], "optimization_time": 2.2611031532287598} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(5))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[2];
rz(-0.1146) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(-0.2292) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-0.1146) q[5];
cx q[2], q[5];
cx q[3], q[1];
rz(-0.2292) q[1];
cx q[3], q[1];
cx q[2], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(x1) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [247, 239], "expectation_value": -12.930022663657049, "params": [0.0002, -0.013600000000000001, 0.3383, 0.46190000000000003, 0.45740000000000003, 0.4847, 0.7961, 1.2026000000000001, -0.8363, -0.7912, -1.1183, -0.6663, 0.8177000000000001, 0.6592, 0.9768, 0.5373, 0.4978, 0.456, 0.0201, -0.0066, 0.5488000000000... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0002) q[0];
ry(0.3383) q[1];
ry(0.4574) q[2];
ry(0.7961) q[3];
ry(-0.8363) q[4];
ry(-1.1183) q[5];
ry(0.8177) q[6];
ry(0.9768) q[7];
ry(0.4978) q[8];
crx(0.0016) q[8], q[0];
crx(0.0013) q[7], q[8];
crx(-0.1772) q[6], q[7];
crx(0.578) q[5], q[6];
crx(-0.29... | 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": 4} | {"circuits": [], "gradients": []} |
d6248976b48f05cd1bbc4c13e32fb473 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4},... | {"states": [0, 2047], "expectation_value": -43.158212861549984, "params": [[[0.0023, 1.6061], [0.002, 0.0022], [0.0028, 0.0019], [0.003, -0.003], [0.0017000000000000001, 0.0026000000000000003], [0.0017000000000000001, 0.0021000000000000003], [0.0023, 0.002], [0.002, 0.002], [0.0025, 0.002], [0.0029000000000000002, 0.00... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -3.5 * (Z(6) @ Z(7)) + -3.5 * (Z(8) @ Z(7)) + -3.5 * (Z(8) @ Z(6)) + 1.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(6)) + -3.0 * (Z(9) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + -3.5 * (Z(10) @ Z(6)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-47.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -45.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0023) q[0];
ry(0.002) q[1];
ry(0.0028) q[2];
ry(0.003) q[3];
ry(0.0017) q[4];
ry(0.0017) q[5];
ry(0.0023) q[6];
ry(0.002) q[7];
ry(0.0025) q[8];
ry(0.0029) q[9];
ry(0.0022) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], 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] 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": 3} | {"circuits": [], "gradients": []} |
159605454403235196 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [1, 5], [1, 4], [0, 4], [2, 5]]} | {"states": [53, 60], "expectation_value": -2.2479572546498567, "params": null, "bitstrings": ["001010", "000011"], "total_optimization_steps": 35, "probabilities": [0.05726674091693909, 0.82596360296828], "optimization_time": 27.34715986251831} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["111100", "000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[2], q[5];
ry(1.3762) q[1];
cry(-0.7081) q[0], q[4];
ry(1.0162) q[3];
cry(1.1525) q[3], q[0];
ry(-0.5) q[4];
cry(-0.5042) q[1], q[5];
ry(1.1464) q[2];
ry(-0.4336) q[5];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
e9e1c3bad7671d416f508c960af260f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -1.2184896930418279, "params": [[0.06520000000000001, 0.07250000000000001, 0.0809], [-0.0599, -0.0678, -0.07980000000000001]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.021279109089679872, 0.021698545066311255], "optimization_time"... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0978) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0652) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.0978) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(-0.0326) q[2];
cx q[5], q[2];
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] 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": []} |
93e4e0f45867ddc137be41d894d0aa33 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -29.69366803604369, "params": [[[0.0027, 1.6061], [0.0021000000000000003, 0.0027], [-0.0031000000000000003, 0.0027], [0.0017000000000000001, 0.0024000000000000002], [0.0019, 0.002], [0.0023, 0.0021000000000000003], [0.0016, 0.002], [0.0025, 0.002], [0.0016, 0.0023], [0.0016, 0... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(5)) + -2.... | 15 | 13 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0027) q[0];
ry(0.0021) q[1];
ry(-0.0031) q[2];
ry(0.0017) q[3];
ry(0.0019) q[4];
ry(0.0023) q[5];
ry(0.0016) q[6];
ry(0.0025) q[7];
ry(0.0016) q[8];
ry(0.0016) q[9];
ry(0.0019) q[10];
ry(0.002) q[11];
ry(0.0025) q[12];
cx q[12], q[0];
cx q[11], q[12];
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[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 10} | {"circuits": [], "gradients": []} |
9a44f437194a4879d426f5b6a5686299 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [70, 7], "expectation_value": -11.26018799249812, "params": [[0.0523, 0.0115, 0.025500000000000002], [-0.0758, -0.042800000000000005, -0.0446]], "bitstrings": ["10111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.010590961074864146, 0.011449975684559681], "optimization_time": 11.25436... | 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)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 16 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2877) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2877) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2877) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2877) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [255, 239], "expectation_value": -18.98957443625592, "params": [[-0.0131, 0.0892, 0.0059, -0.0166], [0.057300000000000004, -0.1351, -0.1489, -0.1474]], "bitstrings": ["00000000", "00010000"], "total_optimization_steps": 20, "probabilities": [0.04155414674457214, 0.04235509829729116], "optimization_time": 6.8... | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | OPENQASM 3.0;
include "stdgates.inc";
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[5], q[4];
rz(-0.0131) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(-0.0262) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(-0.0262) q[6];
cx q[4], q[6];
cx q[5], q[7];
rz(-0.0393) q[7];
cx q[5], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
6f8c6ff9996b89cfcf990ffd7b6839cc | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [447, 191], "expectation_value": -15.197185064414851, "params": null, "bitstrings": ["1001000000", "1101000000"], "total_optimization_steps": 100, "probabilities": [0.12107059116172289, 0.4434021432996618], "optimization_time": 154.85668516159058} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(2) @ Z(9)) + -2.0 * (Z(2) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.5 * ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.5708) q[3];
ry(-1.5577) q[1];
ry(-1.5708) q[0];
cry(1.5706) q[8], q[9];
ry(1.056) q[8];
cry(1.5708) q[7], q[2];
ry(1.115) q[7];
ry(0.556) q[2];
ry(0.5144) q[9];
cry(0.402) ... | null | {"node": 2} | {"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];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
49af616fa54ac08406425ee8e91de42a | 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": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [9, 25], "expectation_value": -3.1970476010604783, "params": [[-0.0024000000000000002, -0.0024000000000000002, 0.6993, 1.0982, 0.0604, -0.0028, 1.064], [-0.0021000000000000003, -0.0025, 0.07300000000000001, 0.6718000000000001, 0.13290000000000002, -0.003, 1.0714000000000001], [-0.0027, -0.0024000000000000002... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(0) @ Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(3) @ Z(6) @ Z(5)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(2) @ Z(6) @ Z(4)) ... | 10 | 7 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.0024) q[0];
ry(-0.0024) q[1];
ry(0.6993) q[2];
ry(1.0982) q[3];
ry(0.0604) q[4];
ry(-0.0028) q[5];
ry(1.064) q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
cz q[0], q[6];
ry(-0.0021) q[0];
ry(-0.0025) q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
-1389209068922457978 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 2, 5, 8, 9, 11], [0, 3, 5, 6, 8, 10], [1, 5, 6], [0, 1, 3, 6, 7, 8, 9, 11], [0, 2, 3, 4, 5, 6, 7, 9, 10], [0, 2, 3, 4, 5, 6, 9, 10, 11], [0, 1, 2, 3, 4, 6, 7, 10], [1, 2, 3, 4, 6, 9, 10, 11], [1, 2, 4, 5, 8, 9, 11], [3, 5, 7, 9, 10, 11], [1, 2, 6, 7, ... | {"states": [1502, 3550], "expectation_value": -2.484294386825761, "params": [0.8258000000000001, -0.1458, 0.8290000000000001, 0.008700000000000001, 1.4811, 0.0008, 1.483, 0.1678, 0.47090000000000004, 0.5431, 0.47190000000000004, 0.008, 1.0462, 0.0046, 1.3056, -0.0024000000000000002, 1.3368, 0.0055000000000000005, 1.33,... | 0.07896825396825397 * (Z(0) @ Z(2)) + 0.11825396825396825 * (Z(5) @ Z(2)) + 0.09444444444444444 * (Z(5) @ Z(0)) + 0.16428571428571426 * (Z(8) @ Z(2)) + 0.08452380952380953 * (Z(8) @ Z(0)) + 0.09047619047619047 * (Z(8) @ Z(5)) + 0.12658730158730158 * (Z(9) @ Z(2)) + 0.07896825396825397 * (Z(9) @ Z(0)) + 0.11825396825396... | 8 | 12 | 1 | {"smallest_eigenvalues": [-2.8821428571428562], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.834523809523809, "smallest_bitstrings": ["001000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8258) q[0];
rz(-0.1458) q[0];
rx(1.4811) q[1];
rz(0.0008) q[1];
rx(0.4709) q[2];
rz(0.5431) q[2];
rx(1.0462) q[3];
rz(0.0046) q[3];
rx(1.3368) q[4];
rz(0.0055) q[4];
rx(1.4821) q[5];
rz(0.0393) q[5];
rx(0.4561) q[6];
rz(-0.5369) q[6];
rx(0.9137) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
89f67c0381ab151d350284f93b10a7aa | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "... | {"states": [254, 255], "expectation_value": -27.97763277987615, "params": [[[0.0018000000000000002, 0.002], [0.0021000000000000003, 0.0018000000000000002], [0.0029000000000000002, 0.002], [0.0041, 0.0039000000000000003], [0.0025, 2.8046], [0.0023, 0.0024000000000000002], [0.0029000000000000002, 0.0027], [0.0019, -0.002... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + -2.5 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(4)) + -2.5 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(8)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 1.0 ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["111100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0018) q[0];
ry(0.0021) q[1];
ry(0.0029) q[2];
ry(0.0041) q[3];
ry(0.0025) q[4];
ry(0.0023) q[5];
ry(0.0029) q[6];
ry(0.0019) q[7];
ry(0.0025) q[8];
ry(-0.527) q[9];
ry(1.3971) q[10];
ry(0.0024) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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] x2;
input float[64] x3;
input float[6... | {"node": 2} | {"circuits": [], "gradients": []} |
c0497b20d0e680cacc77174a13e8b8b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [230, 118], "expectation_value": -8.27367351023927, "params": [[0.045000000000000005], [-0.061700000000000005]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006616607639268692, 0.00781324702284979], "optimization_time": 1.752312183380127} | 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(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.36) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.36) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.36) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.36) q[3];
cx q[0], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f4866d34fc4832d3ba3211e9f23410a9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [248, 220], "expectation_value": -22.647792153496606, "params": [[0.0245, 0.0057], [-0.08020000000000001, -0.0775]], "bitstrings": ["100000111", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006601319397940484, 0.007793359020696394], "optimization_time": 3.2123665809631348} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 11.0 * Z(1) + 0.5 * Z(0) + 9.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.245) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.245) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.245) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.245) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-5644847011691143353 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2, 4, 5, 6], [2, 3], [1, 3, 5], [0, 1, 4, 6]]} | {"states": [115, 118], "expectation_value": -0.615699977289559, "params": [[-0.5604], [0.4208]], "bitstrings": ["0001100", "0001001"], "total_optimization_steps": 60, "probabilities": [0.022814668721193636, 0.022814668721193636], "optimization_time": 4.8736512660980225} | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2833333333333332, "smallest_bitstrings": ["0001001"]} | OPENQASM 3.0;
include "stdgates.inc";
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[0];
rz(-0.056) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.056) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.1494) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.056) q[5];
cx q[2], q[5];
cx q[0], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.3556381347206051, "params": [[-0.015700000000000002, 0.047, 0.06380000000000001, 0.06810000000000001], [0.0656, -0.0216, -0.0413, -0.0477]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.005784120142494115, 0.00579257162153318], ... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0079) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0079) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0157) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(0.0079) q[7];
cx q[2], q[7];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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": 70.5727903842926} | 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 ... | 15 | 7 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(-1.4894) q[0];
cry(-1.5708) q[5], q[2];
cry(-1.5704) q[6], q[3];
ry(1.5708) q[4];
cry(-1.5707) q[6], q[1];
ry(0.5205) q[6];
ry(0.6596) q[5];
ry(-0.5022) q[3];
cry(-0.3088) q[4], q[2];
cry(0.4749) q[4],... | 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", ... |
-8183620638414597498 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 6], [0, 1, 2, 3, 5], [0, 1, 4, 6], [1, 3, 5, 6], [0, 1, 2, 5, 6]]} | {"states": [31, 79], "expectation_value": -0.5884761876000153, "params": [[0.3637], [-0.3587]], "bitstrings": ["1100000", "0110000"], "total_optimization_steps": 40, "probabilities": [0.01387076524110012, 0.014119703336915456], "optimization_time": 2.1608684062957764} | 0.23333333333333334 * (Z(0) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(1)) + 0.15000000000000002 * (Z(2) @ Z(0)) + 0.18333333333333335 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(3) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(1)) + 0.18333333333333335 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.1000000000000003], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1, "smallest_bitstrings": ["0110000"]} | OPENQASM 3.0;
include "stdgates.inc";
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(0.1697) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1091) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1091) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1334) q[3];
cx q[1], q[3];
cx q[0], q[3];
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] 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": []} |
73162755fd3fb63ec250bb0297031b85 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [107, 106], "expectation_value": -1.7592251431850674, "params": [0.9064000000000001, 0.027700000000000002, 0.9021, 0.0055000000000000005, -0.0022, 0.673, 0.9053, 0.0026000000000000003, -0.0025, 0.6565000000000001, 0.9094000000000001, 0.068, 0.6933, 0.10700000000000001, 0.9062, 0.0025, 0.9009, 0.0097, -0.0022... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(6)) + 0.25 * (Z(1) @ Z(5))... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.9064) q[0];
rz(0.0277) q[0];
rx(0.9021) q[1];
rz(0.0055) q[1];
rx(-0.0022) q[2];
rz(0.673) q[2];
rx(0.9053) q[3];
rz(0.0026) q[3];
rx(-0.0025) q[4];
rz(0.6565) q[4];
rx(0.9094) q[5];
rz(0.068) q[5];
rx(0.6933) q[6];
rz(0.107) q[6];
crz(0.1043) q[6], q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
172151485159681391 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [5, 7], [0, 3], [0, 2], [3, 5], [3, 4], [4, 6], [2, 6], [5, 6], [4, 5], [1, 7]]} | {"states": [135, 139], "expectation_value": -3.032094419709775, "params": null, "bitstrings": ["01111000", "01110100"], "total_optimization_steps": 65, "probabilities": [0.049392017217809635, 0.7194567943783052], "optimization_time": 96.07920145988464} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01110100", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[6], q[2];
ry(1.0293) q[6];
cry(-0.8214) q[0], q[2];
cry(1.1655) q[6], q[0];
cry(-1.2155) q[7], q[3];
ry(1.0364) q[7];
cry(-1.3725) q[7], q[1];
cry(-0.723) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
081a3ef2a02910794db9cb14b9d27e2c | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [9, 12], "expectation_value": -1.972903235061299, "params": null, "bitstrings": ["10110", "10011"], "total_optimization_steps": 15, "probabilities": [0.07435629520367526, 0.8990326070136716], "optimization_time": 5.822823524475098} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["10011", "01101", "11001", "10110", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.4449) q[0];
ry(-1.4449) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[2], q[4];
ry(0.6944) q[2];
ry(-0.451) q[4];
cry(0.4962) q[1], q[2];
cry(-0.3778) q[1], q[4];
cry(-0.1259) q[1], q[0];
cry(-0.1217) q[1], q[3];
cry(0.112... | 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(-1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
ce16507f4df4b68459e3b5a73265e8de | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [895, 1023], "expectation_value": -12.817034117574503, "params": [1.2856, 1.212, 0.6536000000000001, 0.3957, 0.8855000000000001, 0.3111, 0.6139, 0.4499, -0.5819, 0.1188, 0.06330000000000001, 0.5728, 0.8672000000000001, 0.3519, 0.6919000000000001, 0.5965, 0.9123, 0.2676, 0.7496, 0.7027, 0.811, 0.3325, 0.7055,... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.2856) q[0];
rz(1.212) q[0];
rx(0.8855) q[1];
rz(0.3111) q[1];
rx(-0.5819) q[2];
rz(0.1188) q[2];
rx(0.8672) q[3];
rz(0.3519) q[3];
rx(0.9123) q[4];
rz(0.2676) q[4];
rx(0.811) q[5];
rz(0.3325) q[5];
rx(0.7385) q[6];
rz(0.6509) q[6];
rx(0.7371) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 7} | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [150, 182], "expectation_value": -0.8564082543932005, "params": [0.8007000000000001, 0.4631, 0.5690000000000001, 0.3708, 0.8051, 0.02, 0.8052, 0.0081, 0.002, 0.5770000000000001, 0.8036000000000001, -0.004200000000000001, 0.8087000000000001, 0.0789, 0.6504, 0.21380000000000002, 0.8039000000000001, 0.005200000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8007) q[0];
rz(0.4631) q[0];
rx(0.569) q[1];
rz(0.3708) q[1];
rx(0.8051) q[2];
rz(0.02) q[2];
rx(0.8052) q[3];
rz(0.0081) q[3];
rx(0.002) q[4];
rz(0.577) q[4];
rx(0.8036) q[5];
rz(-0.0042) q[5];
rx(0.8087) q[6];
rz(0.0789) q[6];
rx(0.6504) q[7];
rz(0.2138... | OPENQASM 3.0;
include "stdgates.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": []} |
8f10d6fbc1f6100cc49a5e43ecae2ea3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -9.243682932863962, "params": [[0.0516], [-0.08]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.008012013860484349, 0.009150600118141188], "optimization_time": 1.7984483242034912} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 1.0 * Z(0) + 6.5 * Z(2) + 14.5 * Z(4) + 3.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.4128) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.4128) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.4128) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.4128) q[5];
cx q[4], q[5];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4482576858222646609 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 4, 5, 6, 7, 8, 9, 10, 11], [0, 10, 11, 12], [8, 12], [0, 1, 4, 11, 12], [9, 1], [0, 2, 3, 4, 7, 8, 11], [0, 10, 4, 12], [3, 4, 7, 9, 10, 12], [0, 1, 3, 5, 12], [8, 3, 6], [0, 3, 5, 7, 9, 12], [0, 1, 2, 5, 6, 7, 8, 10, 11], [0, 2, 3, 4, 7, 8, 9,... | {"states": [6123, 6091], "expectation_value": -3.3868580270529316, "params": [1.5624, 1.5730000000000002, 0.0465, 0.0002, 1.5554000000000001, 1.5957000000000001, 1.5334, 1.5601, 1.3553000000000002, 1.7611, 1.7711000000000001, 1.1746, 1.4460000000000002, 1.6346, 0.5737, 0.5512, 0.0006000000000000001, -0.0179, 1.2886, 1.... | 0.06666666666666667 * (Z(0) @ Z(2)) + 0.10277777777777777 * (Z(4) @ Z(2)) + 0.21944444444444444 * (Z(4) @ Z(0)) + 0.025 * (Z(5) @ Z(2)) + 0.10833333333333334 * (Z(5) @ Z(0)) + 0.011111111111111112 * (Z(5) @ Z(4)) + 0.07500000000000001 * (Z(6) @ Z(2)) + 0.058333333333333334 * (Z(6) @ Z(0)) + 0.12777777777777777 * (Z(6) ... | 14 | 13 | 1 | {"smallest_eigenvalues": [-3.7956349206349183], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7480158730158735, "smallest_bitstrings": ["0100000110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5624) q[0];
ry(0.0465) q[1];
ry(1.5554) q[2];
ry(1.5334) q[3];
ry(1.3553) q[4];
ry(1.7711) q[5];
ry(1.446) q[6];
ry(0.5737) q[7];
ry(0.0006) q[8];
ry(1.2886) q[9];
ry(0.5518) q[10];
ry(1.735) q[11];
ry(1.1768) q[12];
crx(0.8974) q[12], q[0];
crx(1.3295)... | OPENQASM 3.0;
include "stdgates.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": []} |
-6998744717544597171 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1], [1, 3, 4, 6], [1, 5], [4, 5, 6], [1, 2], [5, 7], [0, 2, 7], [3, 5, 6], [4, 7], [0, 6, 7], [0, 2, 6], [1, 7]]} | {"states": [83, 188], "expectation_value": -0.09841171002742312, "params": [[0.0727], [-0.059000000000000004]], "bitstrings": ["10101100", "01000011"], "total_optimization_steps": 10, "probabilities": [0.004299080061009247, 0.004353393800566232], "optimization_time": 0.8160369396209717} | 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.499999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666667, "smallest_bitstrings": ["01000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0727) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0121) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.0121) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.0121) q[4];
cx q[3], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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... | null | {"circuits": [], "gradients": []} |
dbbbc4d6019a7673182b353b82b6a083 | 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": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [320, 1], "expectation_value": -4.4013911703586, "params": [[-0.08660000000000001, -0.0757], [0.0811, 0.0711]], "bitstrings": ["010111111", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00732945318670152, 0.009598047913705022], "optimization_time": 5.125599145889282} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0866) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2165) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.3031) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0866) q[5];
cx q[0], 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [32, 55], "expectation_value": -5.395897748204695, "params": null, "bitstrings": ["1011111", "1001000"], "total_optimization_steps": 39, "probabilities": [0.11292546284772562, 0.72450709291946], "optimization_time": 42.744388818740845} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
ry(1.5708) q[1];
ry(-1.5681) q[3];
cry(1.4449) q[5], q[4];
cry(1.218) q[4], q[5];
cry(-1.4449) q[1], q[0];
cry(1.5477) q[4], q[6];
cry(1.3) q[4], q[2];
cry(-0.601) q[1], q[2];
cry(0.7494) q[5], q[2];
ry(-... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
3305978304862905038 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 7], [2, 3, 4, 6], [4, 5, 6], [0, 5, 6, 7], [4, 7], [2, 3, 5, 6], [0, 2, 4], [1, 2, 5, 6], [1, 3, 5, 6], [1, 4, 6], [0, 1, 3, 5]]} | {"states": [222, 158], "expectation_value": -2.24547300566451, "params": [1.2961, -0.0912, 1.2893000000000001, 0.0098, 1.0616, -0.3894, 0.9183, 0.006500000000000001, 0.9757, -0.37460000000000004, 0.8879, 0.0079, 1.2943, -0.225, 1.2970000000000002, 0.0022, 1.2948000000000002, -0.20420000000000002, 1.2967, 0.009300000000... | 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(7)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-3.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2961) q[0];
rz(-0.0912) q[0];
rx(1.0616) q[1];
rz(-0.3894) q[1];
rx(0.9757) q[2];
rz(-0.3746) q[2];
rx(1.2943) q[3];
rz(-0.225) q[3];
rx(1.2948) q[4];
rz(-0.2042) q[4];
rx(1.2921) q[5];
rz(-0.1155) q[5];
rx(1.2924) q[6];
rz(-0.1413) q[6];
rx(0.4347) 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": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [28, 44], "expectation_value": -6.336356565247168, "params": [[0.11460000000000001, 0.0978, 0.0821], [-0.1399, -0.12840000000000001, -0.1154]], "bitstrings": ["1111100011", "1111010011"], "total_optimization_steps": 20, "probabilities": [0.009097074068651803, 0.00909707406865181], "optimization_time": 60.624... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 3 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111100011", "1111010011", "1111001010", "1111001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(-0.1146) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2292) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.1528) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(0.1146) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [128, 127], "expectation_value": -1.1181805188137155, "params": [[-0.0752], [0.0756]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00622132517710028, 0.006251311265052343], "optimization_time": 2.312005043029785} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10000000", "10001000", "10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
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[4], q[0];
rz(0.1504) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.1504) q[1];
cx q[3], q[1];
cx q[4], q[5];
rz(0.188) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0752) q[5];
cx q[3], q[5];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -3.8430368886735806, "params": [1.4836, 0.36760000000000004, 0.8233, 0.519, 1.504, 0.1336, 1.4867000000000001, 0.1058, 1.5024000000000002, 0.29560000000000003, 0.8441000000000001, 0.5029, 0.8688, -0.5087, 1.4743000000000002, -0.38970000000000005, 1.4909000000000001, -0.0603, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4836) q[0];
rz(0.3676) q[0];
rx(0.8233) q[1];
rz(0.519) q[1];
rx(1.504) q[2];
rz(0.1336) q[2];
rx(1.4867) q[3];
rz(0.1058) q[3];
rx(1.5024) q[4];
rz(0.2956) q[4];
rx(0.8441) q[5];
rz(0.5029) q[5];
rx(0.8688) q[6];
rz(-0.5087) q[6];
rx(1.4743) q[7];
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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
9b45b5fdea58b397fa5dd9ec63b0a714 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [49, 57], "expectation_value": -3.477504544668305, "params": [-0.0061, 0.3388, 0.6002000000000001, 0.1857, 0.5998, -0.0034000000000000002, 0.6017, -0.0031000000000000003, -0.0177, 0.372, 0.008700000000000001, 0.385, 0.6046, 0.1771, -0.0073, 0.3506, 0.6052000000000001, 0.19440000000000002, 0.6089, -0.0037, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(6) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0061) q[0];
rz(0.3388) q[0];
rx(0.6002) q[1];
rz(0.1857) q[1];
rx(0.5998) q[2];
rz(-0.0034) q[2];
rx(0.6017) q[3];
rz(-0.0031) q[3];
rx(-0.0177) q[4];
rz(0.372) q[4];
rx(0.0087) q[5];
rz(0.385) q[5];
rx(0.6046) q[6];
rz(0.1771) q[6];
crz(0.3559) q[6], 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": []} |
97aa58ef0b431934bfaa14698e7612e3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [28, 29], "expectation_value": -2.5197722381217145, "params": [0.1385, 0.1975, 0.40130000000000005, 0.10930000000000001, 0.4063, -0.0004, 0.4006, -0.0032, -0.0132, 0.21930000000000002, 0.39840000000000003, 0.0694, 0.1297, 0.20270000000000002, 0.4026, 0.1291, 0.4045, -0.0017000000000000001, 0.4071, -0.0007, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1385) q[0];
rz(0.1975) q[0];
rx(0.4013) q[1];
rz(0.1093) q[1];
rx(0.4063) q[2];
rz(-0.0004) q[2];
rx(0.4006) q[3];
rz(-0.0032) q[3];
rx(-0.0132) q[4];
rz(0.2193) q[4];
rx(0.3984) q[5];
rz(0.0694) q[5];
crz(0.1469) q[5], q[4];
crz(-0.172) q[4], q[3];
crz(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": []} |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1013, 1659], "expectation_value": -0.22066858120288763, "params": [[0.0732, 0.059500000000000004, 0.0193], [-0.07880000000000001, -0.057300000000000004, -0.0386]], "bitstrings": ["10000001010", "00110000100"], "total_optimization_steps": 10, "probabilities": [0.0008092657080702513, 0.0008092657080702524], "... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 1 | 11 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.0366) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0366) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0366) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e2fd758a3afa6a51c78ff05fa92b78d0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 448], "expectation_value": -14.340023813501382, "params": [1.0531000000000001, 0.039, -0.42360000000000003, 0.0089, 1.0213, 0.055, -0.49260000000000004, 0.0027, 1.0226, 0.16240000000000002, 0.15510000000000002, 0.003, 0.0018000000000000002, 1.2821, 0.0013000000000000002, 0.0036000000000000003, 0.0041, 1.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0531) q[0];
rz(0.039) q[0];
rx(1.0213) q[1];
rz(0.055) q[1];
rx(1.0226) q[2];
rz(0.1624) q[2];
rx(0.0018) q[3];
rz(1.2821) q[3];
rx(0.0041) q[4];
rz(1.8873) q[4];
rx(-1.1118) q[5];
rz(0.0182) q[5];
rx(0.004) q[6];
rz(1.3088) q[6];
rx(0.0043) q[7];
rz(-1.5... | 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[... | {"node": 4} | {"circuits": [], "gradients": []} |
12625ff7963f220cedd44f15c6035b49 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 1}, {"capacity": 4, "so... | {"states": [1509, 1765], "expectation_value": -15.844834071153272, "params": [[-0.076, 0.0009000000000000001, -0.1187, -0.1764], [0.2515, 0.2426, 0.2451, 0.1893]], "bitstrings": ["1101000011010", "1100100011010"], "total_optimization_steps": 40, "probabilities": [0.0070757443177749575, 0.007075744317774963], "optimizat... | -1.0 * (Z(8) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(8)) + 2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(8)) + 4.0 * (Z(4) @ Z(3)) + -1.0 * (Z(9) @ Z(2)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(3)) + -2.0 * (Z(9) @ Z(4)) + 1.0 * (Z(5) @ Z(6)) + 2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + -0.5 *... | 1 | 13 | 4 | {"smallest_eigenvalues": [-19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75, -19.75], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -18.75, "smallest_bitstrings": ["1101000011010", "1100000000101", "1110000010010", "1101000011101", "1110000010101", "1110000001101", "1100000000010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[2], q[8];
rz(0.152) q[8];
cx q[2], q[8];
cx q[2], q[3];
rz(-0.304) q[3];
cx q[2], q[3];
cx q[8], q[3];
rz(0.304) q[3];
cx q[8], q[3];
cx q[2], 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": []} |
f35fffe6fae2129c4c14d6e08ff99c7d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -32.59420752532923, "params": [[[0.0021000000000000003, 1.6141], [0.0025, 0.0021000000000000003], [0.0032, -0.0031000000000000003], [0.0019, 0.0023], [0.0023, 0.0023], [0.0024000000000000002, 0.0023], [-0.0051, 0.5198], [0.0029000000000000002, -0.0026000000000000003], [0.003, ... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(1)) + 1.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(4)) + -2.... | 15 | 13 | 1 | {"smallest_eigenvalues": [-38.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0021) q[0];
ry(0.0025) q[1];
ry(0.0032) q[2];
ry(0.0019) q[3];
ry(0.0023) q[4];
ry(0.0024) q[5];
ry(-0.0051) q[6];
ry(0.0029) q[7];
ry(0.003) q[8];
ry(-0.0027) q[9];
ry(0.0024) q[10];
ry(0.0014) q[11];
ry(0.0025) q[12];
cx q[12], q[0];
cx q[11], q[12];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 8} | {"circuits": [], "gradients": []} |
-501651952984270366 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 4], [8, 10, 11, 5], [8, 7], [9, 4, 6, 1], [9, 2, 12], [0, 4, 7], [2, 10, 4, 7], [0, 5, 7], [1, 2, 9], [8, 10, 12], [0, 9, 11], [11, 12, 5, 6], [2, 3, 12, 5], [1, 10, 4, 7], [10, 5, 6], [8, 1, 11, 12], [9, 4, 7], [9, 12, 7], [1, 4, 5, 9], [1, 3, 4]... | {"states": [2735, 6831], "expectation_value": -9.044781062573087, "params": [0.8168000000000001, 0.1429, 0.8114, 0.0046, 1.6181, 0.0086, 1.5305, 0.0155, -0.0024000000000000002, -0.6903, -0.0043, 0.0074, 1.8381, 0.0029000000000000002, 1.3083, -0.21380000000000002, 0.0005, -0.9494, 0.004200000000000001, 0.0047, 1.624, -0... | 0.5 * (Z(8) @ Z(4)) + 0.41666666666666663 * (Z(10) @ Z(4)) + 0.3333333333333333 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(11) @ Z(4)) + 0.16666666666666666 * (Z(11) @ Z(8)) + 0.16666666666666666 * (Z(11) @ Z(10)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(5) @... | 8 | 13 | 1 | {"smallest_eigenvalues": [-9.083333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.083333333333332, "smallest_bitstrings": ["0010101010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.8168) q[0];
rz(0.1429) q[0];
rx(1.6181) q[1];
rz(0.0086) q[1];
rx(-0.0024) q[2];
rz(-0.6903) q[2];
rx(1.8381) q[3];
rz(0.0029) q[3];
rx(0.0005) q[4];
rz(-0.9494) q[4];
rx(1.624) q[5];
rz(-0.0021) q[5];
rx(0.001) q[6];
rz(-0.7327) q[6];
rx(1.7432) 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": []} |
a0d8066ef1b19829830a6200e9b5cd6f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, ... | {"states": [3246, 3438], "expectation_value": -2.8199018565052163, "params": [[[-0.0015, 0.4751, 0.007200000000000001, 0.0045000000000000005], [0.4258, -0.2364, 0.6723, -0.1569], [-0.0346, 0.33440000000000003, 0.3064, 0.09480000000000001], [-0.2993, 0.13140000000000002, 0.8047000000000001, -0.24750000000000003], [0.001... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z... | 11 | 12 | 3 | {"smallest_eigenvalues": [-3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125, -3.78125], "number_of_smallest_eigenvalues": 21, "first_excited_energy": -2.78125, "smallest_b... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0015) q[0];
rz(0.4751) q[0];
ry(0.4258) q[1];
rz(-0.2364) q[1];
ry(-0.0346) q[2];
rz(0.3344) q[2];
ry(-0.2993) q[3];
rz(0.1314) q[3];
ry(0.0019) q[4];
rz(0.4172) q[4];
ry(0.3904) q[5];
rz(0.4598) q[5];
ry(-0.0226) q[6];
rz(-0.5501) q[6];
ry(0.1592) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
4151016577797552969 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 6, 7, 8], [1, 5, 7], [0, 1, 2, 3, 4, 7], [1, 2, 3, 4, 6, 8], [0, 1, 3, 4, 5, 6, 8], [2, 3, 5, 6, 7], [0, 2, 4, 5, 7, 8], [1, 2, 3, 5, 6, 8], [0, 2, 3, 4, 5, 7], [2, 3, 4, 7, 8]]} | {"states": [470, 489], "expectation_value": -1.0011207752791693, "params": [[0.2808], [-0.2811]], "bitstrings": ["000101001", "000010110"], "total_optimization_steps": 30, "probabilities": [0.0038343716866092105, 0.0039399848154331694], "optimization_time": 2.109013319015503} | 0.08095238095238094 * (Z(0) @ Z(1)) + 0.12380952380952381 * (Z(2) @ Z(1)) + 0.12380952380952381 * (Z(2) @ Z(0)) + 0.14761904761904762 * (Z(3) @ Z(1)) + 0.11428571428571427 * (Z(3) @ Z(0)) + 0.2571428571428571 * (Z(3) @ Z(2)) + 0.11428571428571427 * (Z(6) @ Z(1)) + 0.047619047619047616 * (Z(6) @ Z(0)) + 0.14047619047619... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0809523809523807], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0455) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0695) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0695) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0829) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [26, 30], "expectation_value": -3.0802649031119147, "params": [[[0.0031000000000000003, 0.0088], [1.6136000000000001, 0.0022], [1.6088, 0.0086], [1.608, 0.0092], [1.6137000000000001, 0.0008], [-0.016800000000000002, 0.0001]]], "bitstrings": ["100101", "100001"], "total_optimization_steps": 160, "probabilitie... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0031) q[0];
rz(0.0088) q[0];
rx(1.6136) q[1];
rz(0.0022) q[1];
rx(1.6088) q[2];
rz(0.0086) q[2];
rx(1.608) q[3];
rz(0.0092) q[3];
rx(1.6137) q[4];
rz(0.0008) q[4];
rx(-0.0168) q[5];
rz(0.0001) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 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": []} |
4317458679817971984 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 4, 6, 7], [9, 5, 6, 7], [0, 9, 2, 7], [2, 6], [8, 1, 5], [8, 7], [2, 3, 5, 7], [8, 0, 3, 5], [4, 5], [1, 7], [0, 4, 7], [1, 2, 3], [0, 9, 3], [0, 8, 4, 6], [8, 9, 3], [8, 1, 3], [1, 4], [9, 3, 5, 6]]} | {"states": [795, 860], "expectation_value": -0.14534121272941442, "params": [[-0.0608], [0.060000000000000005]], "bitstrings": ["0011100100", "0010100011"], "total_optimization_steps": 10, "probabilities": [0.0010819508441627572, 0.001088479128264925], "optimization_time": 28.057310342788696} | 0.08333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.41666666666666663 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(6)) + 0.16666666666666666 * (Z(9) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.750000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333333, "smallest_bitstrings": ["0010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[4], q[3];
rz(-0.0101) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(-0.0203) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(-0.0203) q[6];
cx q[3], q[6];
cx q[4], q[7];
rz(-0.0304) q[7];
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[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | null | {"circuits": [], "gradients": []} |
d1a7b7cf714c6ef8e95d1c5632642a08 | 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": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 959], "expectation_value": -7.360598887553307, "params": [-0.2959, 0.46340000000000003, 0.7026, 0.0048000000000000004, 0.6455000000000001, 1.8274000000000001, 0.6081, 0.0046, 0.7908000000000001, 1.6560000000000001, -0.23570000000000002, 0.0064, 0.8482000000000001, 1.7559, -0.1046, 0.0067, 0.8798, 1.1937,... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + -2.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5... | 6 | 10 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["0001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.2959) q[0];
rz(0.4634) q[0];
rx(0.6455) q[1];
rz(1.8274) q[1];
rx(0.7908) q[2];
rz(1.656) q[2];
rx(0.8482) q[3];
rz(1.7559) q[3];
rx(0.8798) q[4];
rz(1.1937) q[4];
rx(0.889) q[5];
rz(1.0402) q[5];
rx(-0.8613) q[6];
rz(0.8545) q[6];
rx(-0.8659) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [56, 50], "expectation_value": -4.499937482234164, "params": null, "bitstrings": ["000111", "001101"], "total_optimization_steps": 26, "probabilities": [1.6356494447410052e-05, 0.9999687417661157], "optimization_time": 24.41140127182007} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[2];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[4];
cry(0.1186) q[4], q[1];
cry(-0.002... | 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
9e7016c164f10697b0206c1127149a76 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -10.828280431217857, "params": [[[0.2849, -0.2761], [0.2615, -0.28090000000000004], [0.26940000000000003, -0.2788], [0.26940000000000003, 0.2803], [0.7994, 0.002], [0.8051, 0.0021000000000000003]], [[0.2873, 0.006500000000000001], [0.26180000000000003, 0.0036000000000000003], [0.... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 2 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.2849) q[0];
rz(-0.2761) q[0];
rx(0.2615) q[1];
rz(-0.2809) q[1];
rx(0.2694) q[2];
rz(-0.2788) q[2];
rx(0.2694) q[3];
rz(0.2803) q[3];
rx(0.7994) q[4];
rz(0.002) q[4];
rx(0.8051) q[5];
rz(0.0021) q[5];
rx(0.2873) q[0];
rz(0.0065) q[0];
rx(0.2618) 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] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
73590e0e5e64cdd17befd03fc27853a5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [351, 15], "expectation_value": -18.459301125445432, "params": null, "bitstrings": ["010100000", "111110000"], "total_optimization_steps": 100, "probabilities": [0.17695911207278775, 0.2462499978545329], "optimization_time": 229.31922054290771} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + 1.5 * (Z(1) @ Z(4)) + -3.0 * (Z(3) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(1.5708) q[4], q[2];
cry(1.5708) q[4], q[3];
ry(-0.9988) q[3];
ry(-0.2438) q[2];
ry(-1.5708) q[1];
cry(1.5708) q[2], q[0];
cry(-0.6544) q[0], q[3];
ry(-0.6431) q[0];
cry(1.5706) q[7], 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];\ncry(1.5708) q[4], 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... |
7168859842769069668 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [0, 6], [0, 1], [1, 2], [4, 5]]} | {"states": [35, 45], "expectation_value": -2.21913885497556, "params": null, "bitstrings": ["1011100", "1010010"], "total_optimization_steps": 51, "probabilities": [0.05206360526272468, 0.7254807705063918], "optimization_time": 40.60189628601074} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011100", "0100011", "0101101", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
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];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[6], q[0];
cry(-1.0342) q[1], q[2];
ry(1.0293) q[1];
ry(-0.6992) q[2];
ry(0.7003) q[6];
cry(-0.795) q[1], q[0];
cry(0.668) q[1], q[6];
cry(0.3724) q[6], q[1];
ry(0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[4], 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... |
-2950945945088475648 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3, 4, 5, 9], [8, 9, 5], [0, 3, 8, 10, 12], [0, 1, 4, 6, 12], [12, 5], [4, 6, 8, 10, 11], [2, 3, 4, 7], [0, 10, 11], [0, 11, 5], [1, 3, 4, 7, 12], [9, 11, 6]]} | {"states": [6939, 7963], "expectation_value": -2.9312683341341454, "params": [1.5759, 1.5721, 1.5758, 1.5721, 0.801, 0.8015, 1.9171, 1.2296, 1.9569, 1.1855, -0.0111, -0.0132, 0.1773, 0.17470000000000002, 0.1855, 0.18430000000000002, 1.6672, 1.4813, 1.9419000000000002, 1.2, 0.1825, 0.1821, 1.5864, 1.5516, 1.3039, 1.3051... | 0.1 * (Z(0) @ Z(3)) + 0.18333333333333335 * (Z(4) @ Z(3)) + 0.1 * (Z(4) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(9) @ Z(3)) + 0.05 * (Z(9) @ Z(0)) + 0.05 * (Z(9) @ Z(4)) + 0.21666666666666667 * (Z(9) @ Z(5)) + 0.05 * (Z(8) @ Z(3)) + 0.05 * (Z(8) @ Z(0)) + 0... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.083333333333334, -3.083333333333334, -3.083333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.083333333333333, "smallest_bitstrings": ["0001011000100", "0101011000100", "0000011100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5759) q[0];
ry(1.5758) q[1];
ry(0.801) q[2];
ry(1.9171) q[3];
ry(1.9569) q[4];
ry(-0.0111) q[5];
ry(0.1773) q[6];
ry(0.1855) q[7];
ry(1.6672) q[8];
ry(1.9419) q[9];
ry(0.1825) q[10];
ry(1.5864) q[11];
ry(1.3039) q[12];
crz(-0.0038) q[12], q[0];
crz(-0.0... | 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": []} |
9d0fda9991561362ccfc12e66c38b9f5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 5}, {"weight": 15, "source": 1, "target": 3}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1... | {"states": [190, 122], "expectation_value": -24.31559679191476, "params": [[-0.0327, 0.0057], [0.0684, 0.0668]], "bitstrings": ["01000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.009514888745774172, 0.011476226333749088], "optimization_time": 3.848762273788452} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(4)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(2) @ Z(4)) + 3.5 * (Z(2) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2289) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.2289) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.2289) q[4];
cx q[0], q[4];
cx q[1], q[3];
rz(-0.2289) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
d66103aeeeda9c42837797a39c07c20f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 3}, {"weight": 18, "source": 1, "target": 5}, {"weight": 2, "source... | {"states": [220, 206], "expectation_value": -25.027488635007458, "params": [[-0.031900000000000005, 0.0028], [0.08020000000000001, 0.0756]], "bitstrings": ["100100011", "100110001"], "total_optimization_steps": 10, "probabilities": [0.006941913640571244, 0.007707712145637151], "optimization_time": 3.3658878803253174} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 11.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.319) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.319) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.319) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.319) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
94cfca1361c38868d8db09a321d069c0 | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [22, 30], "expectation_value": -4.825026030333828, "params": [0.0019, 0.5690000000000001, 0.0008, 0.6077, 0.0002, 0.5752, 0.8992, 0.2555, 0.8139000000000001, 0.003, 0.9087000000000001, -0.0005, 0.9096000000000001, 0.005, 0.2175, 0.3551, 0.0027, 0.0024000000000000002, 0.0008, 0.0064, 0.002, 0.0097, 0.9021, 0.... | 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(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0019) q[0];
rz(0.569) q[0];
rx(0.0008) q[1];
rz(0.6077) q[1];
rx(0.0002) q[2];
rz(0.5752) q[2];
rx(0.8992) q[3];
rz(0.2555) q[3];
rx(0.8139) q[4];
rz(0.003) q[4];
rx(0.9087) q[5];
rz(-0.0005) q[5];
rx(0.9096) q[6];
rz(0.005) q[6];
rx(0.2175) q[7];
rz(0.35... | OPENQASM 3.0;
include "stdgates.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": []} |
6c828ad861bc7d857ce695ceb1ccdcdc | 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": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2},... | {"states": [0, 1788], "expectation_value": -13.436183412870035, "params": [[-0.0697], [0.17950000000000002]], "bitstrings": ["11111111111", "00100000011"], "total_optimization_steps": 20, "probabilities": [0.003952348915583786, 0.004295821496598828], "optimization_time": 3.802589178085327} | -4.0 * (Z(0) @ Z(1)) + -4.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(8) @ Z(1)) + -3.5 * (Z(8) @ Z(0)) + -3.5 * (Z(8) @ Z(4)) + -4.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 1.5 * (Z(3) @ Z(4)) + -4.0 * (Z(3) @ Z(8)) + -3.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(4)) + 1.5 * (Z(5) @ Z(8)) + -3.0... | 5 | 11 | 1 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "smallest_bitstrings": ["00100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.5576) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.5576) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.3485) q[4];
cx q[0], q[4];
cx q[1], q[8];
rz(-0.3485) q... | 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": 10} | {"circuits": [], "gradients": []} |
d95402f534dca4e34937ada56ff64246 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -2.5051805010420365, "params": [[0.061200000000000004, 0.06330000000000001, 0.0444, 0.0135], [-0.0644, -0.0635, -0.045700000000000005, -0.033]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.023045356370597753, 0.0284264283354924], "opt... | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.0918) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1224) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1224) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(-0.0306) q[4];
cx q[2], q[4];
cx q[2], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
e50f1de34172387f4afee29bd6bf3fd2 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.63737834568757, "params": [0.0033, 0.0009000000000000001, 0.0024000000000000002, 0.0008, 0.0027, 0.0061, 0.0027, 0.0073, 1.1866, 0.0014, 0.0023, 0.0006000000000000001, 1.1781000000000001, 0.0035, 0.0023, 0.006, 0.0025, 0.0016, 1.6052000000000002, 0.0073, 0.0066, 0.0085, 0.005... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(8) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(8)) + -1.5 * (Z(6) @ Z(3)) + 2.75 * (Z(9) @ ... | 3 | 10 | 1 | {"smallest_eigenvalues": [-21.5, -21.5, -21.5, -21.5, -21.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -20.5, "smallest_bitstrings": ["1111110110", "1111111110", "1110010110", "1111010110", "1111011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0033) q[0];
rz(0.0009) q[0];
rx(0.0024) q[1];
rz(0.0008) q[1];
rx(0.0027) q[2];
rz(0.0061) q[2];
rx(0.0027) q[3];
rz(0.0073) q[3];
rx(1.1866) q[4];
rz(0.0014) q[4];
rx(0.0023) q[5];
rz(0.0006) q[5];
rx(1.1781) q[6];
rz(0.0035) q[6];
rx(0.0023) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d2601bbf36e7658df88520110518167a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": []} | {"states": [48765, 32190], "expectation_value": -14.363092638573729, "params": [[0.1341, 0.35150000000000003, 0.7068, 0.8235], [-0.5322, -0.2741, -0.20770000000000002, -0.131]], "bitstrings": ["0100000110000010", "1000001001000001"], "total_optimization_steps": 270, "probabilities": [0.01356092933926096, 0.013560929339... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-16.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.99999999999997, "smallest_bitstrings": ["1000001001000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[2];
rz(0.1341) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1341) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.1341) 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] 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[16] c;
qubit[16] q;
h q[0];
h q[1];
... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 3}, {"id": 0}], "edges": []}} | {"circuits": [], "gradients": []} |
ed501d4a76767c2e5786bed6521844e8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1008], "expectation_value": -29.194619044819216, "params": [[[0.0025, 0.0077], [0.0022, 0.0008], [0.0022, 0.0067], [0.0024000000000000002, 0.004200000000000001], [0.0018000000000000002, 0.0086], [1.6093000000000002, 0.0027], [0.0021000000000000003, 0.0006000000000000001], [0.0027, 0.0026000000000000003],... | -2.5 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(3)) + -2.... | 2 | 10 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0025) q[0];
rz(0.0077) q[0];
rx(0.0022) q[1];
rz(0.0008) q[1];
rx(0.0022) q[2];
rz(0.0067) q[2];
rx(0.0024) q[3];
rz(0.0042) q[3];
rx(0.0018) q[4];
rz(0.0086) q[4];
rx(1.6093) q[5];
rz(0.0027) q[5];
rx(0.0021) q[6];
rz(0.0006) q[6];
rx(0.0027) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 10} | {"circuits": [], "gradients": []} |
08ced21e9f416e8feafb347a1a58a965 | 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": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4},... | {"states": [0, 2047], "expectation_value": -17.171455489227792, "params": [[[0.0022, 1.609], [0.0016, 0.0022], [0.0019, 0.0018000000000000002], [0.0018000000000000002, 0.0019], [0.0021000000000000003, 0.002], [0.0018000000000000002, 0.002], [0.0019, 0.0021000000000000003], [0.003, 0.0022], [0.0032, -0.00310000000000000... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 *... | 15 | 11 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0022) q[0];
ry(0.0016) q[1];
ry(0.0019) q[2];
ry(0.0018) q[3];
ry(0.0021) q[4];
ry(0.0018) q[5];
ry(0.0019) q[6];
ry(0.003) q[7];
ry(0.0032) q[8];
ry(0.0023) q[9];
ry(-0.0024) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[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] 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... | {"node": 8} | {"circuits": [], "gradients": []} |
e470ffc38e777fb704568e67195343ac | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [109, 621], "expectation_value": -4.13296540660222, "params": [[[0.8568, -0.0201], [-0.0162, -1.1768], [0.0025, 1.7575], [1.5656, -0.0027], [1.5747, 0.0032], [-0.0026000000000000003, -1.4926000000000001], [1.5733000000000001, 0.0019], [1.5737, -0.003], [0.0026000000000000003, 1.4276], [1.5726, -0.0032]], [[0... | 0.5 * (Z(1) @ Z(0)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(9) @ Z(0)) + 0.5 * (Z(3) @ Z(8)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-4.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5625, "smallest_bitstrings": ["0110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8568) q[0];
rz(-0.0201) q[0];
rx(-0.0162) q[1];
rz(-1.1768) q[1];
rx(0.0025) q[2];
rz(1.7575) q[2];
rx(1.5656) q[3];
rz(-0.0027) q[3];
rx(1.5747) q[4];
rz(0.0032) q[4];
rx(-0.0026) q[5];
rz(-1.4926) q[5];
rx(1.5733) q[6];
rz(0.0019) q[6];
rx(1.5737) 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": []} |
a5ab45828095e3b6ad01a6edd098559d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [67, 101], "expectation_value": -0.6091971180836484, "params": [[-0.06770000000000001, -0.07350000000000001], [0.0714, 0.07350000000000001]], "bitstrings": ["0111100", "0011010"], "total_optimization_steps": 10, "probabilities": [0.011077247905371936, 0.01167689516345759], "optimization_time": 2.927117109298... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011010"]} | OPENQASM 3.0;
include "stdgates.inc";
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[0];
rz(-0.0677) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0677) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0677) q[3];
cx q[0], q[3];
cx q[3], q[1];
rz(-0.0677) q[1];
cx q[3], q[1];
cx q[3], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
2d02f35370a8769eaaa03bbd3e88b224 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [26, 30], "expectation_value": -3.361002643181149, "params": [[[0.3904, -0.0022], [-0.2793, 0.0063], [-0.0025, -0.0068000000000000005], [0.4761, 0.5982000000000001], [0.534, 0.7784000000000001], [0.5807, 0.7125], [1.0399, 0.5784], [0.5488000000000001, 1.1979]], [[1.1331, -0.0033], [0.5557, 0.0018000000000000... | 0.0625 * (Z(2) @ Z(0)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(2) @ Z(0) @ Z(3)) + -0.0625 * (Z(2) @ Z(0) @ Z(4)) + -0.0... | 15 | 8 | 3 | {"smallest_eigenvalues": [-4.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0625, "smallest_bitstrings": ["11100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3904) q[0];
ry(-0.2793) q[1];
ry(-0.0025) q[2];
ry(0.4761) q[3];
ry(0.534) q[4];
ry(0.5807) q[5];
ry(1.0399) q[6];
ry(0.5488) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | vertex_cover | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [9, 11], "expectation_value": -1.4610240558114984, "params": [0.28500000000000003, 0.38720000000000004, 0.28290000000000004, 0.0058000000000000005, 0.81, 0.2499, 0.8073, 0.0013000000000000002, 0.0876, 0.4232, 0.0821, 0.0059, 0.797, 0.3844, 0.7968000000000001, 0.0068000000000000005, 0.8027000000000001, 0.2409... | 0.5 * (Z(0) @ 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(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 5 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.285) q[0];
rz(0.3872) q[0];
rx(0.81) q[1];
rz(0.2499) q[1];
rx(0.0876) q[2];
rz(0.4232) q[2];
rx(0.797) q[3];
rz(0.3844) q[3];
rx(0.8027) q[4];
rz(0.2409) q[4];
crz(-0.1499) q[4], q[3];
crz(0.392) q[4], q[2];
crz(0.0675) q[4], q[1];
crz(0.1746) q[4], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4d9e1d8b3b11f3e10faaac0ed524e33d | 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": 10, "source": 0, "... | {"states": [151, 93], "expectation_value": -21.558647769668987, "params": [[-0.0179, -0.008700000000000001, -0.0198, 0.0119], [0.0327, 0.0352, 0.0609, 0.062]], "bitstrings": ["01101000", "10100010"], "total_optimization_steps": 10, "probabilities": [0.013314790377771947, 0.016863653146483824], "optimization_time": 12.5... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 5.0 * Z(0) + 1.0 * Z(2) + 7.0 * Z(3) + 15.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1611) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(-0.1611) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.1611) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.1611) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 22.128414630889893} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(0.1187) q[1], q[5];
cry(0.1188) q[5], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[5], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
f04e7c5bc3fa942a0ccd9ea135f026eb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [344, 348], "expectation_value": -0.9526194463009623, "params": [[[0.5452, 0.1278], [0.8083, -0.0012000000000000001], [0.5682, 0.1268], [0.8052, 0.0005], [0.0026000000000000003, 0.5911000000000001], [0.8019000000000001, 0.0015], [0.7988000000000001, -0.0012000000000000001], [0.7961, 0.0016], [0.5618000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1010110001", "1000110101", "1000101110", "1010101010", "1010100011", "0110101010", "0110100011", "0110110001", "10001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.5452) q[0];
rz(0.1278) q[0];
rx(0.8083) q[1];
rz(-0.0012) q[1];
rx(0.5682) q[2];
rz(0.1268) q[2];
rx(0.8052) q[3];
rz(0.0005) q[3];
rx(0.0026) q[4];
rz(0.5911) q[4];
rx(0.8019) q[5];
rz(0.0015) q[5];
rx(0.7988) q[6];
rz(-0.0012) q[6];
rx(0.7961) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
807a63e492ab5ccd6fcf63229c2e7564 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target":... | {"states": [0, 511], "expectation_value": -14.150322044982643, "params": [[[0.0026000000000000003, 1.6138000000000001], [0.0021000000000000003, 0.0026000000000000003], [-0.0016, 0.0021000000000000003], [0.003, -0.0027], [-0.0036000000000000003, 0.003], [0.0016, 0.0026000000000000003], [0.0022, 0.0023], [0.0022, 0.00240... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + 0.5 *... | 15 | 9 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000", "000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0026) q[0];
ry(0.0021) q[1];
ry(-0.0016) q[2];
ry(0.003) q[3];
ry(-0.0036) q[4];
ry(0.0016) q[5];
ry(0.0022) q[6];
ry(0.0022) q[7];
ry(0.0026) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} |
d8c959a00da600e8fbae4f9fb196848f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [22, 26], "expectation_value": -2.456986473992142, "params": [[-0.32680000000000003], [0.4597]], "bitstrings": ["1101001", "1100101"], "total_optimization_steps": 50, "probabilities": [0.033051624878404795, 0.033051624878404795], "optimization_time": 1.7078220844268799} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011001", "0110101", "1010101", "1100101", "1101001", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
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(-0.3268) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3268) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3268) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.3268) q[6];
cx q[1], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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[2];
rz(x0) q[2];
cx q[1], q[2]... | null | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 3], "expectation_value": -3.2573317853510155, "params": [[[0.2318, 0.0787], [0.20120000000000002, -0.0983], [0.19140000000000001, -0.0993], [0.3922, -0.0021000000000000003], [0.404, 0.0017000000000000001]], [[0.23370000000000002, 0.0787], [0.2001, -0.0981], [0.1918, -0.09920000000000001], [0.3934, -0.002... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.2318) q[0];
rz(0.0787) q[0];
rx(0.2012) q[1];
rz(-0.0983) q[1];
rx(0.1914) q[2];
rz(-0.0993) q[2];
rx(0.3922) q[3];
rz(-0.0021) q[3];
rx(0.404) q[4];
rz(0.0017) q[4];
rx(0.2337) q[0];
rz(0.0787) q[0];
rx(0.2001) q[1];
rz(-0.0981) q[1];
rx(0.1918) q[2];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [10, 5], "expectation_value": -0.8825876985781836, "params": [[-0.0579, -0.07350000000000001], [0.07010000000000001, 0.0756]], "bitstrings": ["0101", "1010"], "total_optimization_steps": 10, "probabilities": [0.07500673519574635, 0.10436033913301246], "optimization_time": 1.5320491790771484} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.1447) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.1737) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.029) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.1737) q[1];
cx q[3], q[1];
rz(0.1737) q[2];
rz(0.029) q[0];
rz(0) 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[4] c;
qubit[4] ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
c27e04a1b516da945dec2e0c25bb156f | 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": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [256, 129], "expectation_value": -4.9142468571733815, "params": [[-0.1487], [0.1643]], "bitstrings": ["011111111", "101111110"], "total_optimization_steps": 20, "probabilities": [0.010994347563761438, 0.012860131243739222], "optimization_time": 3.3422465324401855} | -0.5 * (Z(0) @ Z(4)) + -1.75 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -2.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(7)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["101111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[0];
rz(0.1487) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(0.5204) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.3718) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.2974) q[1];
cx q[6], 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] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2948403567897148577 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 3, 11], [8, 1, 11, 5], [1, 3, 6, 7, 11], [1, 4, 9, 7], [0, 1, 9, 10, 11], [10, 3, 5, 7], [11, 4], [2, 5, 6, 10, 11], [0, 1, 3, 5, 8]]} | {"states": [1429, 1493], "expectation_value": -1.7507418877072383, "params": [1.2955, 0.008700000000000001, 2.9003, 0.0053, 1.3173000000000001, 0.004200000000000001, 2.9001, 0.0031000000000000003, 2.7869, 0.0079, 1.6591, 0.0099, 0.6169, 0.0023, 2.7473, 0.004200000000000001, 1.3182, 0.0099, 2.8856, 0.0034000000000000002... | 0.21666666666666667 * (Z(10) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(10)) + 0.1 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(10)) + 0.18333333333333335 * (Z(1) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(5)) + 0.13333333333333333 * (Z(7) @ Z(10)) + 0.13333333333333333 * (Z(7) @ Z(3)) + 0.133... | 16 | 12 | 1 | {"smallest_eigenvalues": [-2.383333333333334, -2.383333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3833333333333333, "smallest_bitstrings": ["101000101010", "001000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.2955) q[0];
rz(0.0087) q[0];
rx(2.9003) q[1];
rz(0.0053) q[1];
rx(1.3173) q[2];
rz(0.0042) q[2];
rx(2.9001) q[3];
rz(0.0031) q[3];
rx(2.7869) q[4];
rz(0.0079) q[4];
rx(1.6591) q[5];
rz(0.0099) q[5];
rx(0.6169) q[6];
rz(0.0023) q[6];
rx(2.7473) q[7];
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": []} |
c5d57071b024d109c38c43678d62eaf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [6, 1], "expectation_value": -0.1662796815480436, "params": [[0.030000000000000002, 0.0522], [-0.019700000000000002, -0.0383]], "bitstrings": ["001", "110"], "total_optimization_steps": 10, "probabilities": [0.1294221011267917, 0.1406563849188193], "optimization_time": 1.7933850288391113} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.075) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.09) q[2];
cx q[0], q[2];
rz(-0.075) q[1];
rz(-0.015) q[0];
rz(0.09) q[2];
h q[0];
rz(-0.0394) q[0];
h q[0];
h q[1];
rz(-0.0394) q[1];
h q[1];
h q[2];
rz(-0.0394) q[2];
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;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
58ab9b57bb5d3ba1983e43d3f29bec32 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 2, "target": 1}]} | {"states": [1, 3], "expectation_value": -4.124360376889934, "params": null, "bitstrings": ["1110", "1100"], "total_optimization_steps": 10, "probabilities": [0.4168911639926725, 0.42669893022981115], "optimization_time": 3.285254955291748} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -1.75 * Z(1) + -0.25 * Z(0) + 1.0 * Z(3) + 1.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["1110", "1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5708) q[1];
cry(-1.5681) q[3], q[0];
ry(1.231) q[3];
ry(-0.6451) q[0];
cry(0.2801) q[2], q[3];
cry(-0.1165) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
bf94e6406551047eb54e98577948dda2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [0, 7], "expectation_value": -15.505754449400463, "params": [-0.0025, 0.35000000000000003, 0.016300000000000002, 0.7786000000000001, 0.0015, 0.36910000000000004, -0.0103, 0.6401, -0.0005, 0.7918000000000001, -0.0019, 0.9045000000000001, 0.001, 0.6076, -0.0061, 0.7142000000000001, 0.011300000000000001, 0.5095... | -2.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + 1.5 * Z(1) + -2.0 * Z(0) + -2.5 * Z(3) + -2.0 * Z... | 6 | 8 | 3 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0025) q[0];
rz(0.35) q[0];
rx(0.0015) q[1];
rz(0.3691) q[1];
rx(-0.0005) q[2];
rz(0.7918) q[2];
rx(0.001) q[3];
rz(0.6076) q[3];
rx(0.0113) q[4];
rz(0.5095) q[4];
rx(-0.6247) q[5];
rz(0.0433) q[5];
rx(-0.5373) q[6];
rz(-0.2009) q[6];
rx(-0.6322) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 2} | {"circuits": [], "gradients": []} |
356320d4ea48c301e4fd2cdea9fe8bbf | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [177, 185], "expectation_value": -4.0040816741583924, "params": [0.3981, 0.0026000000000000003, 0.4031, -0.0, -0.018000000000000002, 0.1782, -0.018000000000000002, 0.1945, 0.4043, 0.003, 0.4035, 0.0791, 0.4102, 0.0038, 0.4086, 0.002, 0.40230000000000005, -0.0033, 0.4048, -0.003, 0.15030000000000002, -0.1341,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(5) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3981) q[0];
rz(0.0026) q[0];
rx(-0.018) q[1];
rz(0.1782) q[1];
rx(0.4043) q[2];
rz(0.003) q[2];
rx(0.4102) q[3];
rz(0.0038) q[3];
rx(0.4023) q[4];
rz(-0.0033) q[4];
rx(0.1503) q[5];
rz(-0.1341) q[5];
rx(-0.0048) q[6];
rz(-0.1931) q[6];
rx(0.4053) q[7];
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": []} |
206b6c7126e1a43a7c0a57973e02662d | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 6... | {"states": [119, 183], "expectation_value": -0.9871523904506843, "params": [[-0.0538, -0.037700000000000004, -0.0397], [0.0659, 0.056100000000000004, 0.0524]], "bitstrings": ["110001000", "101001000"], "total_optimization_steps": 10, "probabilities": [0.0029715208458592005, 0.002971520845859201], "optimization_time": 5... | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000100", "101001000", "110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[5];
rz(0.0538) q[5];
cx q[1], q[5];
cx q[1], q[2];
rz(-0.0538) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(0.0538) q[2];
cx q[5], q[2];
cx q[4], q[3];
rz(-0.0538) q[3];
cx q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [5, 24], "expectation_value": -0.43768950871872747, "params": [[-0.0536, -0.0688], [0.055, 0.0713]], "bitstrings": ["11010", "00111"], "total_optimization_steps": 10, "probabilities": [0.039607809844013096, 0.0396078098440131], "optimization_time": 2.232694625854492} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0536) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0536) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0536) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0536) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0536) 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[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz... | null | {"circuits": [], "gradients": []} |
31a11ae818df971c53c10fb4beb29051 | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5},... | {"states": [1022, 2047], "expectation_value": -12.94493370142577, "params": [[[-1.4318, 1.5051], [0.0028, 1.5042], [-0.0027, 0.003], [-0.0021000000000000003, 0.003], [-0.0018000000000000002, -0.0017000000000000001], [-0.0031000000000000003, 0.0031000000000000003], [-0.0032, -0.0029000000000000002], [-0.0023, 0.00180000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 1.0 * Z(5) + -1.0 * Z(6) + 0... | 15 | 11 | 1 | {"smallest_eigenvalues": [-16.0, -16.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.0, "smallest_bitstrings": ["00000110000", "00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-1.4318) q[0];
ry(0.0028) q[1];
ry(-0.0027) q[2];
ry(-0.0021) q[3];
ry(-0.0018) q[4];
ry(-0.0031) q[5];
ry(-0.0032) q[6];
ry(-0.0023) q[7];
ry(-0.0028) q[8];
ry(-0.014) q[9];
ry(-0.0031) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"node": 3} | {"circuits": [], "gradients": []} |
02ad922247dded2921d5944d6e95a575 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [1877, 1885], "expectation_value": -2.7444703599462286, "params": [[[0.0028, 0.6301, 0.0077, 0.005200000000000001], [0.7459, 0.005200000000000001, 0.7479, 0.007], [-0.4476, -0.0051, 0.0064, 0.0015], [0.52, -0.0033, 0.8723000000000001, 0.0023], [0.020900000000000002, 0.009600000000000001, 0.006900000000000001... | 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... | 12 | 12 | 3 | {"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], "number_of_smallest_eigenvalues"... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0028) q[0];
rz(0.6301) q[0];
ry(0.7459) q[1];
rz(0.0052) q[1];
ry(-0.4476) q[2];
rz(-0.0051) q[2];
ry(0.52) q[3];
rz(-0.0033) q[3];
ry(0.0209) q[4];
rz(0.0096) q[4];
ry(0.331) q[5];
rz(-0.0074) q[5];
ry(-0.0013) q[6];
rz(-0.148) q[6];
ry(0.6512) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dd4f3f1f90b61f0bfd416cd86d3b98cc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [138, 154], "expectation_value": -2.8720022240103096, "params": [0.39980000000000004, 0.3925, 0.10740000000000001, 0.1061, -0.0012000000000000001, 0.0032, 0.3931, 0.38980000000000004, 0.39580000000000004, 0.401, 0.0081, 0.0018000000000000002, 0.4036, 0.4007, 0.1504, 0.1568, 0.3934, 0.3912, 0.1084000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 14 | 8 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["01110100", "01100101", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3998) q[0];
ry(0.1074) q[1];
ry(-0.0012) q[2];
ry(0.3931) q[3];
ry(0.3958) q[4];
ry(0.0081) q[5];
ry(0.4036) q[6];
ry(0.1504) q[7];
crx(0.3813) q[7], q[0];
crx(0.1976) q[6], q[7];
crx(-0.0317) q[5], q[6];
crx(0.0047) q[4], q[5];
crx(0.3735) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.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": []} |
f222dfb2324275edf5e9240be57dcb14 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [81, 116], "expectation_value": -0.2900821179708107, "params": [[0.07680000000000001], [-0.08410000000000001]], "bitstrings": ["0101110", "0001011"], "total_optimization_steps": 10, "probabilities": [0.009158420832239698, 0.009192486691170235], "optimization_time": 1.4341344833374023} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"]} | OPENQASM 3.0;
include "stdgates.inc";
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[3], q[0];
rz(0.0768) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0768) q[5];
cx q[3], q[5];
cx q[5], q[1];
rz(0.0768) q[1];
cx q[5], q[1];
cx q[3], q[6];
rz(0.0768) q[6];
cx q[3], q[6];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[5], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
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