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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [22, 21], "expectation_value": -2.9965156550505325, "params": null, "bitstrings": ["101001", "101010"], "total_optimization_steps": 18, "probabilities": [0.06700924257653981, 0.9297458928351173], "optimization_time": 10.595951080322266} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"]} | 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(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4449) q[1];
ry(1.4417) q[3];
cry(-1.0398) q[5], q[4];
ry(0.7022) q[5];
ry(-0.4578) q[4];
cry(0.497) q[1], q[5];
cry(-0.3761) q[1], q[4];
cry(0.2474) q[3], q[5];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
1544988c6452fa79840159cabec617a0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [65, 1], "expectation_value": -0.6537503341471167, "params": [[-0.0455], [0.0562]], "bitstrings": ["1110111110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0012714027971266859, 0.00133302136799913], "optimization_time": 3.172322988510132} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"]} | 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[3], q[0];
rz(0.0683) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0455) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0227) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(0.0227) 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] 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... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [88, 7], "expectation_value": -5.767290406383392, "params": [[0.0596, 0.0349, 0.0223], [-0.0545, -0.045700000000000005, -0.0402]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.017116191205960727, 0.0181143100202619], "optimization_time": 5.999979496002197} | 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)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 7 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "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];
cx q[1], q[0];
rz(0.2682) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2682) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2682) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2682) 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] 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": []} |
72183b4fd20ed92416e66387660c8f46 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [313, 312], "expectation_value": -3.5052432835025837, "params": [1.6064, 0.006, 0.0014, 0.0056, 0.14250000000000002, 0.004, 1.6105, 0.0009000000000000001, 1.6018000000000001, 0.0085, 1.5837, 0.0028, 0.37560000000000004, 0.009300000000000001, 0.14500000000000002, 0.0061, 1.5636, 0.0004, 0.0043, 0.0067, 0.0083... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(1) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["011101100", "011001110", "110010011", "110000111", "001111100", "011000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6064) q[0];
rz(0.006) q[0];
rx(0.0014) q[1];
rz(0.0056) q[1];
rx(0.1425) q[2];
rz(0.004) q[2];
rx(1.6105) q[3];
rz(0.0009) q[3];
rx(1.6018) q[4];
rz(0.0085) q[4];
rx(1.5837) q[5];
rz(0.0028) q[5];
rx(0.3756) q[6];
rz(0.0093) q[6];
rx(0.145) q[7];
rz(0.006... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
8158251461114733176 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 3, 6, 10], [1, 3, 5, 7], [0, 3, 4, 5, 6, 9], [8, 10, 6], [0, 1, 2, 4, 10], [2, 3, 5, 7, 8, 9, 10], [0, 3, 4, 5, 7, 8, 9, 10], [1, 2, 5, 7, 9, 10], [0, 1, 3, 9, 10], [0, 9, 10, 6], [0, 2, 3, 4, 5], [8, 1, 2, 4], [8, 9, 4, 1], [0, 1, 3, 4, 5, 6], [2, 3, ... | {"states": [1854, 1950], "expectation_value": -2.082993911395582, "params": [[0.3635], [-0.3497]], "bitstrings": ["00011000001", "00001100001"], "total_optimization_steps": 40, "probabilities": [0.002415404895291785, 0.002454265167029389], "optimization_time": 10.223595142364502} | 0.15000000000000002 * (Z(0) @ Z(2)) + 0.14166666666666666 * (Z(3) @ Z(2)) + 0.23452380952380952 * (Z(3) @ Z(0)) + 0.06785714285714287 * (Z(6) @ Z(2)) + 0.2 * (Z(6) @ Z(0)) + 0.13452380952380952 * (Z(6) @ Z(3)) + 0.15714285714285714 * (Z(10) @ Z(2)) + 0.2511904761904762 * (Z(10) @ Z(0)) + 0.14166666666666666 * (Z(10) @ ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.2630952380952376], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2297619047619053, "smallest_bitstrings": ["00001100001"]} | 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[2], q[0];
rz(0.1091) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.103) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1705) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(0.0493) 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] 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": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -9.184001989390403, "params": [[0.0448], [-0.07350000000000001]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007402482663615335, 0.008649774479445684], "optimization_time": 1.809494972229004} | 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 | 1 | {"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];
cx q[1], q[0];
rz(0.3584) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3584) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3584) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3584) q[3];
cx q[1], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
cbd7ab088c541541ce228c57ff45254d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [511, 496], "expectation_value": -2.0564599926772904, "params": [[0.0763], [-0.0666]], "bitstrings": ["000000000", "000001111"], "total_optimization_steps": 10, "probabilities": [0.0036799981309301997, 0.0037720150586038233], "optimization_time": 5.0391693115234375} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + -2.5 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + -2.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["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];
cx q[2], q[0];
rz(-0.3052) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.3052) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.3052) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.3815) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3... | {"node": 7} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [53, 78], "expectation_value": -0.06408871727771404, "params": [[0.075], [-0.08]], "bitstrings": ["1001010", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008663436767808726, 0.008663436767808732], "optimization_time": 5.221067428588867} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | 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(0.075) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.075) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(0.0375) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(0.0375) q[5];
cx q[2], q[5];
cx q[5], q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0)... | null | {"circuits": [], "gradients": []} |
aff16494716409c93ae0c6b924acb428 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [9, 1], "expectation_value": -16.028299188387976, "params": null, "bitstrings": ["1110110", "1111110"], "total_optimization_steps": 26, "probabilities": [0.0842399858326309, 0.8771664858399296], "optimization_time": 18.451659679412842} | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "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];
ry(1.5709) q[6];
ry(-1.57) q[0];
ry(-1.4894) q[3];
ry(-1.5708) q[2];
ry(-1.5706) q[4];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
cry(0.5085) q[6], q[3];
cry(0.4107) q[6], q[0];
cry(-0.3036) q[3], q[0];
cry(-0.0... | 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(1.5709) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
eaeea4ff9d3e4d19d6efb5a5635dc927 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [401, 403], "expectation_value": -61.858404407411655, "params": [[[0.5777, 0.2854], [0.5920000000000001, 0.3875], [0.5954, 0.37870000000000004], [0.20070000000000002, 0.4288], [0.13720000000000002, 0.2546], [0.5898, 0.5741], [0.1845, 0.43220000000000003], [0.3305, 0.1887], [0.15710000000000002, 0.2278], [0.5... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(8)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(9) @ Z(5)) + 3.0 * Z(3) + 15.0 * Z(2) + 26.5 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-113.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.0, "smallest_bitstrings": ["1001101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5777) q[0];
ry(0.592) q[1];
ry(0.5954) q[2];
ry(0.2007) q[3];
ry(0.1372) q[4];
ry(0.5898) q[5];
ry(0.1845) q[6];
ry(0.3305) q[7];
ry(0.1571) q[8];
ry(0.5945) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [411, 413], "expectation_value": -5.710684425785296, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741881, 0.8578073217068284], "optimization_time": 99.92933559417725} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | 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];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) 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] = measure q[5];\nc[6] = m... |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [1, 9], "expectation_value": -1.4225576678920482, "params": [[[0.6087, 0.0036000000000000003], [0.1499, 0.2316], [0.0023, 0.4359], [0.6096, 0.0016]], [[0.6007, 0.0036000000000000003], [0.15430000000000002, 0.23170000000000002], [0.0038, 0.4524], [0.6083000000000001, 0.0016]], [[0.6076, 0.0012000000000000001]... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.6087) q[0];
rz(0.0036) q[0];
rx(0.1499) q[1];
rz(0.2316) q[1];
rx(0.0023) q[2];
rz(0.4359) q[2];
rx(0.6096) q[3];
rz(0.0016) q[3];
rx(0.6007) q[0];
rz(0.0036) q[0];
rx(0.1543) q[1];
rz(0.2317) q[1];
rx(0.0038) q[2];
rz(0.4524) q[2];
rx(0.6083) q[3];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
cba3c0f3028bedd24c97c562399fe60f | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -4.459852681503579, "params": [[[0.8777, 0.0083], [0.9583, 0.0068000000000000005], [0.9678, 0.0074], [1.0144, 0.0025], [1.7984, 0.0059], [1.5991, 0.0022], [1.8037, 0.0045000000000000005]]], "bitstrings": ["1111010", "1111000"], "total_optimization_steps": 180, "probabilities": [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)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8777) q[0];
rz(0.0083) q[0];
rx(0.9583) q[1];
rz(0.0068) q[1];
rx(0.9678) q[2];
rz(0.0074) q[2];
rx(1.0144) q[3];
rz(0.0025) q[3];
rx(1.7984) q[4];
rz(0.0059) q[4];
rx(1.5991) q[5];
rz(0.0022) q[5];
rx(1.8037) q[6];
rz(0.0045) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
520b4019fb4986d4ab684733a5ebe8d8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [249, 220], "expectation_value": -24.115012035076457, "params": [[0.0316, 0.0152, 0.0021000000000000003], [-0.06810000000000001, -0.0713, -0.058800000000000005]], "bitstrings": ["100000110", "100100011"], "total_optimization_steps": 10, "probabilities": [0.010537824262322429, 0.011939548576303015], "optimiza... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(6)) + 10.0 * Z(1) + 3.0 * Z(0) + 13.5 * Z(2) + 13.0 * Z(4) + 9... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "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(0.2844) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2844) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(0.2844) q[4];
cx q[2], q[4];
cx q[4], q[3];
rz(0.2844) 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] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
f06cfa431b1d21951bd72bdc4807e338 | 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": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [40, 56], "expectation_value": -1.5432863279369617, "params": [-0.002, 0.38680000000000003, 0.5019, -0.0019, 0.4253, 0.0022, 0.4898, 0.0049, 0.0002, 0.06810000000000001, 0.35850000000000004, -0.020300000000000002, 0.3002, 0.0959, -0.004200000000000001, 0.3849, 0.5039, -0.0028, 0.4242, -0.0012000000000000001,... | 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... | 18 | 7 | 4 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["1011100", "1010101", "1001110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.002) q[0];
rz(0.3868) q[0];
rx(0.5019) q[1];
rz(-0.0019) q[1];
rx(0.4253) q[2];
rz(0.0022) q[2];
rx(0.4898) q[3];
rz(0.0049) q[3];
rx(0.0002) q[4];
rz(0.0681) q[4];
rx(0.3585) q[5];
rz(-0.0203) q[5];
rx(0.3002) q[6];
rz(0.0959) q[6];
crz(-0.0847) 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": []} |
ca80a1081391714ec98f68c48872633f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [0, 1], "expectation_value": -4.518096687948281, "params": [[[0.0016, 0.4746], [0.0028, 0.5295], [-0.0022, -0.0063], [0.0024000000000000002, 0.5999], [0.0022, 0.606], [0.0026000000000000003, 0.5655], [0.8069000000000001, 0.0036000000000000003]], [[0.0015, 0.009600000000000001], [0.0027, 0.0002], [0.0073, 0.0... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0016) q[0];
rz(0.4746) q[0];
rx(0.0028) q[1];
rz(0.5295) q[1];
rx(-0.0022) q[2];
rz(-0.0063) q[2];
rx(0.0024) q[3];
rz(0.5999) q[3];
rx(0.0022) q[4];
rz(0.606) q[4];
rx(0.0026) q[5];
rz(0.5655) q[5];
rx(0.8069) q[6];
rz(0.0036) q[6];
rx(0.0015) q[0];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-3173261753743397568 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [1, 5], [2, 3], [3, 5]]} | {"states": [43, 54], "expectation_value": -0.584390595272775, "params": [[-0.3795], [0.37920000000000004]], "bitstrings": ["010100", "001001"], "total_optimization_steps": 50, "probabilities": [0.040415259028390105, 0.040415259028390105], "optimization_time": 1.2403676509857178} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.75, -1.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010100", "001001"]} | 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[1], q[0];
rz(-0.0633) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0633) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0633) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0633) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
3428200423048858736 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[4, 6], [8, 1, 6], [2, 7], [9, 10, 6], [0, 9, 6], [9, 3, 5], [0, 11], [1, 2], [8, 0, 5], [9, 4, 5], [0, 3], [1, 3, 4], [2, 4, 5], [3, 7], [8, 9, 11], [1, 4, 7], [8, 1, 7], [0, 1], [11, 7], [8, 10], [0, 10], [1, 11], [8, 2, 4], [9, 3, 4], [0, 7], [4, 5, 7]... | {"states": [3107, 3111], "expectation_value": -6.213538249135448, "params": [[[3.1548000000000003, 0.0033], [3.1392, 0.0053], [0.0023, 0.0011], [0.003, 0.0071], [-0.0018000000000000002, 0.0046], [0.9421, 0.0074], [3.1394, 0.008], [0.9229, 0.0021000000000000003], [0.0031000000000000003, 0.004], [1.5984, 0.0099], [3.1390... | 0.5 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.3333333333333333 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(1) @ Z(10)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.3333333333333333 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(1)) + 0.33333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.000000000000001, "smallest_bitstrings": ["001111011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1548) q[0];
rz(0.0033) q[0];
rx(3.1392) q[1];
rz(0.0053) q[1];
rx(0.0023) q[2];
rz(0.0011) q[2];
rx(0.003) q[3];
rz(0.0071) q[3];
rx(-0.0018) q[4];
rz(0.0046) q[4];
rx(0.9421) q[5];
rz(0.0074) q[5];
rx(3.1394) q[6];
rz(0.008) q[6];
rx(0.9229) 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[... | null | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [20, 10], "expectation_value": -0.2900242388255191, "params": [[-0.0718, -0.0453], [0.0747, 0.0608]], "bitstrings": ["01011", "10101"], "total_optimization_steps": 10, "probabilities": [0.036851051791204466, 0.03836432734111063], "optimization_time": 2.3797409534454346} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"]} | 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[1], q[0];
rz(-0.0718) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0718) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0718) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0718) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0718) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
-2974607800008069348 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 10, 5, 6], [1, 2, 3, 7], [3, 1, 11, 9], [10, 11, 4], [2, 3, 4, 6], [0, 2, 11, 4], [8, 0, 10, 5], [3, 4, 6, 7], [1, 3, 5], [8, 7], [11, 6], [9, 10, 2, 7], [8, 3], [8, 1, 2, 9], [8, 9, 10, 4], [1, 9, 6], [0, 9, 3, 4], [8, 1, 10, 0], [8, 1, 4]]} | {"states": [3821, 3820], "expectation_value": -4.227310880695573, "params": [3.1387, 0.006500000000000001, 3.1398, 0.0067, 3.1396, 0.009600000000000001, 0.0058000000000000005, 0.0025, 1.8537000000000001, 0.0033, 3.1397, 0.0092, 3.1392, 0.0037, 0.6572, 0.0056, 2.0373, 0.0006000000000000001, 2.4491, 0.0048000000000000004... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.333333... | 16 | 12 | 1 | {"smallest_eigenvalues": [-4.749999999999999, -4.749999999999999], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.666666666666665, "smallest_bitstrings": ["000100010011", "000110010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1387) q[0];
rz(0.0065) q[0];
rx(3.1398) q[1];
rz(0.0067) q[1];
rx(3.1396) q[2];
rz(0.0096) q[2];
rx(0.0058) q[3];
rz(0.0025) q[3];
rx(1.8537) q[4];
rz(0.0033) q[4];
rx(3.1397) q[5];
rz(0.0092) q[5];
rx(3.1392) q[6];
rz(0.0037) q[6];
rx(0.6572) 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": []} |
1f5d7944e50ebc48c654989c65672b6f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 1, ... | {"states": [33, 1], "expectation_value": -0.26449893877255803, "params": [[0.0692], [-0.0699]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004816338468110481, 0.005073550880562679], "optimization_time": 1.9510498046875} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + 1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.0 * Z(7) + -1.2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110"]} | 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(-0.0692) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1038) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0346) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.1384) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [367, 363], "expectation_value": -3.2142842274299714, "params": [3.1229, 0.006200000000000001, 1.2966, 0.003, 2.2441, 0.0027, 2.8318000000000003, 0.0081, 1.2897, 0.0039000000000000003, 3.0789, 0.0034000000000000002, 1.5475, 0.0037, 3.1616, 0.0014, 2.9947000000000004, 0.0047, 0.008, 0.005200000000000001, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001100010", "010010001", "001001100", "100100010", "100010001", "001001010", "001010100", "100001010", "100100001", "010001100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(3.1229) q[0];
rz(0.0062) q[0];
rx(1.2966) q[1];
rz(0.003) q[1];
rx(2.2441) q[2];
rz(0.0027) q[2];
rx(2.8318) q[3];
rz(0.0081) q[3];
rx(1.2897) q[4];
rz(0.0039) q[4];
rx(3.0789) q[5];
rz(0.0034) q[5];
rx(1.5475) q[6];
rz(0.0037) q[6];
rx(3.1616) q[7];
rz(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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
191f1083ef0517287337898d8066b77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -20.118826998253244, "params": [-0.0106, 0.2117, 0.0033, 0.25270000000000004, 0.0015, 0.3129, 0.0053, 0.2979, 0.0082, 0.22010000000000002, -0.0009000000000000001, 0.306, 0.40690000000000004, 0.0027, 0.40190000000000003, 0.0028, 0.0034000000000000002, 0.272, 0.002400000000000000... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(7)) + -0.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(1) @ Z(10)) + -0.25 * (Z(4) @ Z(6)) + -1.25 * ... | 6 | 12 | 2 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0106) q[0];
rz(0.2117) q[0];
rx(0.0015) q[1];
rz(0.3129) q[1];
rx(0.0082) q[2];
rz(0.2201) q[2];
rx(0.4069) q[3];
rz(0.0027) q[3];
rx(0.0034) q[4];
rz(0.272) q[4];
rx(0.0041) q[5];
rz(0.237) q[5];
rx(0.0033) q[6];
rz(0.3044) q[6];
rx(0.0043) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
8c96d267ad9dac3e5a4c4afd9dbbc4ee | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -10.820419932994124, "params": [[[0.0047, -0.0195], [-0.3919, 0.0023], [-0.0049, -0.0028], [0.0061, 0.0027], [0.0091, 0.0022], [0.0089, 0.0022], [0.0047, 0.0024000000000000002], [0.0038, 0.0023], [0.0066, -0.025900000000000003], [-1.7937, -0.0114]], [[0.046200000000000005, -1... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(9) @ Z(6)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0047) q[0];
ry(-0.3919) q[1];
ry(-0.0049) q[2];
ry(0.0061) q[3];
ry(0.0091) q[4];
ry(0.0089) q[5];
ry(0.0047) q[6];
ry(0.0038) q[7];
ry(0.0066) q[8];
ry(-1.7937) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], 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": 9} | {"circuits": [], "gradients": []} |
2094f2acbed5b66731131105b770d25b | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [14, 15], "expectation_value": -4.444966445716053, "params": [0.044700000000000004, 0.3478, -0.0129, 0.364, -0.0222, 0.3749, -0.0201, 0.3794, 0.6, 0.193, 0.6034, -0.002, 0.5956, 0.0023, 0.5942000000000001, 0.001, 0.0417, 0.3577, -0.0164, 0.3708, -0.013600000000000001, 0.37610000000000005, -0.0205, 0.3789, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -1.0 * Z(7) + -... | 3 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0447) q[0];
rz(0.3478) q[0];
rx(-0.0129) q[1];
rz(0.364) q[1];
rx(-0.0222) q[2];
rz(0.3749) q[2];
rx(-0.0201) q[3];
rz(0.3794) q[3];
rx(0.6) q[4];
rz(0.193) q[4];
rx(0.6034) q[5];
rz(-0.002) q[5];
rx(0.5956) q[6];
rz(0.0023) q[6];
rx(0.5942) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | qaoa | {"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": [3, 17], "expectation_value": -3.218237001464646, "params": [[0.013600000000000001, 0.057600000000000005, 0.049, 0.051800000000000006], [-0.0016, -0.0431, -0.0495, -0.0637]], "bitstrings": ["11100", "01110"], "total_optimization_steps": 10, "probabilities": [0.0611259343670908, 0.0625202991083785], "optimiza... | 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) | 11 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["01110", "11100"]} | 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[1], q[0];
rz(0.0476) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0476) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0476) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0476) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0544) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [48, 28], "expectation_value": -1.2639939511665648, "params": [[-0.0751, -0.0775, -0.0848], [0.0755, 0.0728, 0.0756]], "bitstrings": ["001111", "100011"], "total_optimization_steps": 10, "probabilities": [0.027993259748971055, 0.030883382090199918], "optimization_time": 3.908628463745117} | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"]} | 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[2], q[0];
rz(-0.0751) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0751) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0751) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0751) q[4];
cx q[0], q[4];
cx q[0], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.165815699098031, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 35.512242794036865} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"]} | 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(1.5709) q[5];
ry(-1.4894) q[0];
ry(-0.7453) q[4];
ry(-0.9522) q[3];
cry(0.8407) q[5], q[4];
cry(-1.6662) q[2], q[4];
cry(-0.5015) q[5], q[3];
cry(1.5708) q[5], q[1];
cry(-0.9036) q[1], q[4];
ry(-1.5396) q[2];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
7142009000585274537 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 5, 7, 8], [10, 2, 4, 6], [0, 3, 12], [1, 2, 8, 11, 12], [3, 6, 7, 9, 10], [8, 12, 6], [9, 3, 12], [9, 2], [0, 1, 5, 6, 10, 11], [1, 3, 4, 5, 11], [2, 3, 12, 6], [8, 1, 3, 6], [3, 4, 6, 10, 11], [1, 2, 5, 6, 7, 12], [1, 11, 9], [0, 4, 5, 8, 11],... | {"states": [7164, 7160], "expectation_value": -7.455585247409882, "params": [[[3.1433, 0.0024000000000000002, 0.0073, 0.0019], [0.0031000000000000003, 0.6541, 1.5676, 0.0077], [-0.0026000000000000003, 0.0, 0.0028, 0.0001], [1.0373, -0.0027, 1.0485, 0.009300000000000001], [3.1444, 0.006500000000000001, 0.005, 0.0022], [... | 0.36666666666666664 * (Z(0) @ Z(1)) + 0.2 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.18333333333333332 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(5)) + 0.3 * (Z(8) @ Z(1)) + 0.35 * (Z(8) @ Z(0)) + 0.18333333333333335 * (Z(8) @ Z(5)) + 0.2 * (Z(8) @ Z(7)) + 0.2 * (Z(10) @ Z(1)) + 0.15 * (Z(... | 12 | 13 | 1 | {"smallest_eigenvalues": [-7.7333333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.583333333333332, "smallest_bitstrings": ["0010000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(3.1433) q[0];
rz(0.0024) q[0];
ry(0.0031) q[1];
rz(0.6541) q[1];
ry(-0.0026) q[2];
rz(0) q[2];
ry(1.0373) q[3];
rz(-0.0027) q[3];
ry(3.1444) q[4];
rz(0.0065) q[4];
ry(-0.003) q[5];
rz(0.7029) q[5];
ry(3.1446) q[6];
rz(0.0073) q[6];
ry(-0.0024) q[7];
rz(-1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3182680652728868492 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 6, 7], [0, 1, 2, 4, 6, 7], [0, 1, 2, 3, 4], [0, 5], [5, 6], [4, 5]]} | {"states": [219, 155], "expectation_value": -1.47716136061295, "params": [1.2019, -0.1027, 1.2018, 0.0097, 1.1701000000000001, -0.1603, 0.9862000000000001, 0.0046, 1.1699000000000002, -0.1608, 0.9815, 0.0086, 1.1934, -0.0951, 1.1803000000000001, 0.0037, 1.2045000000000001, -0.0678, 1.2066000000000001, 0.0067, 0.3938000... | 0.11666666666666667 * (Z(1) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(1)) + 0.11666666666666667 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(3)) + 0.06666666666666667 * (Z(6) @ Z(2)) + 0.06666666666666667 * (Z(6) @ Z(1)) + 0.03333333333333... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.1], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0999999999999996, "smallest_bitstrings": ["01100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2019) q[0];
rz(-0.1027) q[0];
rx(1.1701) q[1];
rz(-0.1603) q[1];
rx(1.1699) q[2];
rz(-0.1608) q[2];
rx(1.1934) q[3];
rz(-0.0951) q[3];
rx(1.2045) q[4];
rz(-0.0678) q[4];
rx(0.3938) q[5];
rz(0.5154) q[5];
rx(1.1996) q[6];
rz(-0.1049) q[6];
rx(1.197) 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": []} |
106d68c84acc26faab4051c9a532942f | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 3, "ta... | {"states": [162, 163], "expectation_value": -3.4987948879833355, "params": [[0.7462000000000001, -0.1643, 0.6654, -0.0031000000000000003, -0.0025, 0.40030000000000004, 0.7803, 0.1552], [0.6894, -0.0718, 0.6681, -0.0007, -0.0026000000000000003, 0.5338, 0.7589, -0.0409], [0.7463000000000001, 0.395, 0.6586000000000001, -0... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(3) + -0.5 * Z(7) + 0.0 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 10 | 8 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["01011010", "00011011", "00011101", "01001101", "01011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7462) q[0];
ry(-0.1643) q[1];
ry(0.6654) q[2];
ry(-0.0031) q[3];
ry(-0.0025) q[4];
ry(0.4003) q[5];
ry(0.7803) q[6];
ry(0.1552) q[7];
cz q[7], 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[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": []} |
5f0d472ec5410cdf4159a3a34819a3f9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [319, 383], "expectation_value": -14.323354790187677, "params": null, "bitstrings": ["1011000000", "1010000000"], "total_optimization_steps": 100, "probabilities": [0.1566848691028799, 0.49808372619384167], "optimization_time": 245.92067956924438} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(4)) + -1.5 * (Z(1) @ Z(6)) + -1.5 * (Z(8) @ Z(4)) + -1.75 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(6)) + -1.75 * (Z(9) @ Z(8)) + -1.25 * (Z(5) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.25, -20.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.25, "smallest_bitstrings": ["1011000000", "1010000000"]} | 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[5];
cry(1.5709) q[5], q[4];
cry(1.5709) q[4], q[8];
cry(1.4894) q[8], q[6];
cry(1.5708) q[6], q[7];
cry(1.5708) q[7], q[9];
cry(1.5708) q[6], q[1];
cry(-1.5681) q[9]... | null | {"source": 0, "sink": 9} | {"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[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]... |
-7713206369362567734 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 3], [1, 5, 7], [0, 1], [8, 1, 4], [9, 3, 1], [8, 1, 3], [0, 6, 7], [0, 8, 5], [4, 5], [1, 2, 5], [2, 3, 6], [1, 6], [1, 3, 5], [1, 3, 7], [4, 7], [8, 9, 0], [8, 6], [8, 5, 7], [0, 3, 4]]} | {"states": [605, 726], "expectation_value": -1.2351006730977583, "params": [[0.1759], [-0.1774]], "bitstrings": ["0110100010", "0100101001"], "total_optimization_steps": 20, "probabilities": [0.0021072435883762856, 0.0021481890429886916], "optimization_time": 3.8271420001983643} | 0.3333333333333333 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.6666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.166666666666... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["0100101001"]} | 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[9], q[0];
rz(0.1173) q[0];
cx q[9], q[0];
cx q[9], q[3];
rz(0.1173) q[3];
cx q[9], q[3];
cx q[0], q[3];
rz(0.1173) q[3];
cx q[0], q[3];
cx q[9], q[1];
rz(0.0586) q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[9], q[0];
rz(x0) q[0];
cx q[9], q... | null | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | min_cut | adaptive_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": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 20.084253072738647} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"]} | 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];
cry(1.57) q[1], q[2];
ry(0.9551) q[1];
ry(0.4501) q[2];
cry(1.5542) q[1], q[3];
cry(0.342) q[2], q[1];
cry(1.3456) q[3], q[4];
cry(-1.4668) q[4], q[0];
cry(0.0716) q[3], q[2];
cry(0.1588) q[1], q[4];
ry(-0.0592) q[3];
cr... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... |
236eee02726333745789aca07c73fbad | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [31, 30], "expectation_value": -0.44830044116016565, "params": [[0.057100000000000005], [-0.048]], "bitstrings": ["00000", "00001"], "total_optimization_steps": 10, "probabilities": [0.03762246310599271, 0.038035625244771214], "optimization_time": 0.9604322910308838} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"]} | 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(-0.2284) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.2284) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.2284) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.2284) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.1142) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0... | {"node": 4} | {"circuits": [], "gradients": []} |
93f5686fd39e6a6c4d9331c2d208db96 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 63], "expectation_value": -3.115963223379581, "params": [[0.0603], [-0.0693]], "bitstrings": ["0000000000", "1111000000"], "total_optimization_steps": 10, "probabilities": [0.001982248112762313, 0.001984262273284791], "optimization_time": 19.02995777130127} | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111000000"]} | 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[1];
rz(-0.3015) q[1];
cx q[2], q[1];
cx q[2], q[0];
rz(-0.3015) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.0603) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(-0.3015) q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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[1];
rz(... | {"node": 0} | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 19.68693995475769} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | 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(-1.5681) q[5];
ry(-1.4449) q[4];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[0];
cry(0.1246) q[3], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3818ce8f8ec333f1e3cdd221545ea640 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 14, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [174, 110], "expectation_value": -10.91427312036831, "params": [[0.0332, -0.0238, 0.038200000000000005], [-0.0494, -0.0068000000000000005, -0.0395]], "bitstrings": ["01010001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.008233148068069279, 0.009458798166010932], "optimization_time": 5.7... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 6.5 * Z(1) + 1.5 * Z(0) + 15.0 * Z(2) + 8.5 * Z(3) + 9.5... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "smallest_bitstrings": ["10010001"]} | 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(0.2656) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2656) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.2656) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(0.2656) q[4];
cx q[3], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6498021278841855419 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 6], [0, 1, 2, 3, 5], [1, 4], [2, 3, 4, 5], [3, 5, 6], [1, 2, 5, 7], [4, 5, 6], [1, 6]]} | {"states": [86, 116], "expectation_value": -2.317051266721233, "params": null, "bitstrings": ["10101001", "10001011"], "total_optimization_steps": 52, "probabilities": [0.022883884397080966, 0.8321511408662624], "optimization_time": 91.99825191497803} | 0.5 * (Z(2) @ Z(6)) + 0.05 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5333333333333328], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["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];
ry(1.5344) q[5];
cry(-1.0339) q[2], q[6];
ry(0.9259) q[2];
cry(-0.7884) q[1], q[6];
cry(1.109) q[2], q[1];
cry(-1.2204) q[1], q[4];
ry(0.2656) q[1];
cry(-0.3454) q[5], q[6];
cry(0.4642) q[1], q[2]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5344) 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[... |
66dfceacc80d916a1eddcaaacfe8a2e1 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.6424005631660284, "params": [[-0.654], [0.39080000000000004]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 70, "probabilities": [0.00014478386965940054, 0.0001447838696594006], "optimization_time": 22.713706970214844} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005000000000000001 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0005000000000000001 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0233749999999593], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0233749999999158, "smallest_bitstrings": ["1010101001010101"]} | 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(-0.327) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0011) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0011) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[16] c;
qubit[16... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 5}, {"weight": 13, "source": 0, "target": 3}, {"weight": 9... | {"states": [190, 118], "expectation_value": -29.558466293879224, "params": [[-0.0368, 0.007500000000000001, 0.0015], [0.0614, 0.053500000000000006, 0.0627]], "bitstrings": ["01000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012896921760545778, 0.01463243511047671], "optimization_time": 9.15681... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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(-0.2576) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2576) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2576) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2576) 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": "maximum", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
8ad3ec3244c25ac4f66d2d688f52ad1d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [107, 2154], "expectation_value": -106.77696081266407, "params": [[[1.5739, 1.4365], [-0.0023, 1.4319000000000002], [-0.0018000000000000002, 0.0022], [-0.0019, -0.0021000000000000003], [-1.5977000000000001, 3.1436], [0.002, 0.0021000000000000003], [0.002, 0.0021000000000000003], [3.0615, 0.0717], [1.2315, 1.... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(5) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(3) @ Z(8)) + 7.5 * (Z(7) @ Z(0)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(7)) + 7.5 * (Z(11) @ Z(10)) + 24.5 * ... | 15 | 12 | 1 | {"smallest_eigenvalues": [-152.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -132.5, "smallest_bitstrings": ["011110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5739) q[0];
ry(-0.0023) q[1];
ry(-0.0018) q[2];
ry(-0.0019) q[3];
ry(-1.5977) q[4];
ry(0.002) q[5];
ry(0.002) q[6];
ry(3.0615) q[7];
ry(1.2315) q[8];
ry(-1.573) q[9];
ry(-1.5736) q[10];
ry(1.5717) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9529baf1c272123f159cd9ccf2735587 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [19, 63], "expectation_value": -3.893450485743458, "params": null, "bitstrings": ["1101100", "1000000"], "total_optimization_steps": 47, "probabilities": [0.1570018601144807, 0.523779836596342], "optimization_time": 53.145485162734985} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | 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(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.5354) q[2], q[5];
cry(1.2281) q[5], q[2];
cry(1.4175) q[5], q[6];
cry(-1.4856) q[6], q[0];
cry(1.1156) q[1], q[3];
ry(-0.4438) q[3];
cry(0.6835) q[4],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [0, 1], "expectation_value": -5.684386735104256, "params": [-0.0032, 0.2792, 0.0041, 0.2975, 0.00030000000000000003, 0.28750000000000003, 0.0028, 0.26830000000000004, 0.0034000000000000002, 0.3, 0.0038, 0.30410000000000004, 0.40080000000000005, 0.0044, -0.0068000000000000005, 0.24530000000000002, 0.0022, 0.2... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0032) q[0];
rz(0.2792) q[0];
rx(0.0041) q[1];
rz(0.2975) q[1];
rx(0.0003) q[2];
rz(0.2875) q[2];
rx(0.0028) q[3];
rz(0.2683) q[3];
rx(0.0034) q[4];
rz(0.3) q[4];
rx(0.0038) q[5];
rz(0.3041) q[5];
rx(0.4008) q[6];
rz(0.0044) q[6];
crz(0.0013) q[6], 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": []} |
1656823104873287151 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [1, 7], [1, 6], [3, 4], [0, 5], [0, 1], [3, 7], [4, 5], [1, 4], [5, 6], [4, 6], [0, 3], [0, 2], [2, 4]]} | {"states": [116, 139], "expectation_value": -0.11496386080988001, "params": [[0.0644], [-0.0651]], "bitstrings": ["10001011", "01110100"], "total_optimization_steps": 10, "probabilities": [0.004584712868582622, 0.004584712868582622], "optimization_time": 0.832913875579834} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.0 * Z(7) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "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];
cx q[7], q[0];
rz(0.0644) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(0.0644) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(0.0644) q[1];
cx q[0], q[1];
cx q[1], q[6];
rz(0.0644) q[6];
cx q[1], q[6];
cx q[7],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1]... | null | {"circuits": [], "gradients": []} |
3fa23bf7f5997a6a9414c1a1e69c52c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [37, 52], "expectation_value": -4.996515641776223, "params": null, "bitstrings": ["1011010", "1001011"], "total_optimization_steps": 28, "probabilities": [0.06700895329537654, 0.9297461640987218], "optimization_time": 30.623971939086914} | 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(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 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(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011", "1011010", "1000111", "0111100"]} | 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[0];
ry(-1.5708) q[5];
ry(-1.4449) q[3];
ry(1.4449) q[1];
ry(1.4417) q[4];
cry(-1.0398) q[2], q[6];
ry(0.7022) q[2];
ry(-0.4578) q[6];
cry(0.497) q[1], q[2];
cry(-0.3761) q[1], 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[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", ... |
ee3d1657115ac7fe63817a76eff6e74f | 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": 3, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 4, "source": 2, "target": 3}, {"weight": 12, "source": 3, "targ... | {"states": [181, 174], "expectation_value": -28.198645836517972, "params": [[0.025400000000000002, 0.0073, -0.019], [-0.0717, -0.0712, -0.0451]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.007164478416781514, 0.008419362845079251], "optimization_time": 6.48940467834472... | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 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(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["101010001"]} | 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(0.2286) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.2286) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(0.2286) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(0.2286) q[4];
cx q[3], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
28550855a20366800e3fd917bf6489e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [0, 1], "expectation_value": -4.871670804157906, "params": [0.0034000000000000002, 0.299, 0.0028, 0.18710000000000002, 0.005, 0.4525, 0.0026000000000000003, -0.4495, 0.0033, 0.46130000000000004, 0.0021000000000000003, -0.4567, 0.0018000000000000002, 0.4566, 0.6067, 0.0083, 0.0037, 0.2916, 0.0023, 0.2566, -0.... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 3 | 8 | 3 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0034) q[0];
rz(0.299) q[0];
rx(0.0028) q[1];
rz(0.1871) q[1];
rx(0.005) q[2];
rz(0.4525) q[2];
rx(0.0026) q[3];
rz(-0.4495) q[3];
rx(0.0033) q[4];
rz(0.4613) q[4];
rx(0.0021) q[5];
rz(-0.4567) q[5];
rx(0.0018) q[6];
rz(0.4566) q[6];
rx(0.6067) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d3956f7983245a7df30e05256635d997 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [118, 182], "expectation_value": -77.30172678642892, "params": [-0.0014, -0.915, 1.3185, 0.0819, 1.0955000000000001, -0.10830000000000001, 0.7906000000000001, 0.0146, 0.7849, 0.003, -0.0029000000000000002, 0.7972, 0.779, 0.0004, 0.7716000000000001, 0.0073, 0.0023, 0.8801, -0.0008, -0.9418000000000001, 0.6116... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(0) @ Z(7)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(6) @ Z(7)) + 13.0 * Z(3) + 7.0 * Z(1) + 12.0 * Z(2) + 10.0 * Z(4) + -6.0 * Z(5) + 12.0 * Z(8) + 14.5 * Z(7) + -3.... | 16 | 9 | 4 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0014) q[0];
rz(-0.915) q[0];
rx(1.3185) q[1];
rz(0.0819) q[1];
rx(1.0955) q[2];
rz(-0.1083) q[2];
rx(0.7906) q[3];
rz(0.0146) q[3];
rx(0.7849) q[4];
rz(0.003) q[4];
rx(-0.0029) q[5];
rz(0.7972) q[5];
rx(0.779) q[6];
rz(0.0004) q[6];
rx(0.7716) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-2862683680105267660 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [8, 4], [3, 6], [0, 4], [5, 6], [8, 6], [8, 5], [5, 7], [0, 2], [4, 6], [8, 1], [8, 0], [8, 2], [1, 2], [0, 6], [1, 5], [3, 4]]} | {"states": [89, 422], "expectation_value": -0.21109607654972373, "params": [[-0.0839], [0.0772]], "bitstrings": ["110100110", "001011001"], "total_optimization_steps": 10, "probabilities": [0.0023244382501173425, 0.0023244382501173425], "optimization_time": 2.3956680297851562} | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["100101001", "101111000", "010000111", "110100110", "110100011", "110101000", "101101000", "110111000", "... | 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[3], q[8];
rz(-0.0839) q[8];
cx q[3], q[8];
cx q[3], q[4];
rz(-0.0839) q[4];
cx q[3], q[4];
cx q[8], q[4];
rz(-0.0839) q[4];
cx q[8], q[4];
cx q[3], q[6];
rz(-0.0839) q[6];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[8];
rz(x0) q[8];
cx q[3], q[8];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[8], q[4];
rz(x0) q[4];
cx q[8], q[4];... | null | {"circuits": [], "gradients": []} |
a61efe0866d3892b780b74ac9c5cc2b4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [82, 114], "expectation_value": -4.671207676911027, "params": [-0.0011, 0.31720000000000004, 0.0017000000000000001, 0.3418, 0.5262, -0.0284, 0.5281, 0.015700000000000002, 0.3201, 0.0002, 0.32030000000000003, 0.0032, 0.5206000000000001, -0.019700000000000002, 0.5279, 0.0061, 0.0005, -0.2849, 0.0047, -0.3149, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(6) + -1.0 * Z(7) + 0.0 * Z(1) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0... | 5 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00100111", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0011) q[0];
rz(0.3172) q[0];
rx(0.5262) q[1];
rz(-0.0284) q[1];
rx(0.3201) q[2];
rz(0.0002) q[2];
rx(0.5206) q[3];
rz(-0.0197) q[3];
rx(0.0005) q[4];
rz(-0.2849) q[4];
rx(0.0025) q[5];
rz(-0.2576) q[5];
rx(0.5425) q[6];
rz(-0.0236) q[6];
rx(0.0082) 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": []} |
71bc29fb36488a293ce19bf05d480b6c | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [6, 7], "expectation_value": -5.126909613243538, "params": [[[0.31970000000000004, -0.156], [0.24050000000000002, -0.2288], [0.3305, 0.1553], [0.3214, -0.15860000000000002], [0.6529, -0.0], [0.6142000000000001, 0.0], [0.5277000000000001, 0.0038]], [[0.3262, -0.156], [0.2404, -0.2286], [0.3337, 0.1553], [0.32... | 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)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3197) q[0];
rz(-0.156) q[0];
rx(0.2405) q[1];
rz(-0.2288) q[1];
rx(0.3305) q[2];
rz(0.1553) q[2];
rx(0.3214) q[3];
rz(-0.1586) q[3];
rx(0.6529) q[4];
rz(0) q[4];
rx(0.6142) q[5];
rz(0) q[5];
rx(0.5277) q[6];
rz(0.0038) q[6];
rx(0.3262) q[0];
rz(-0.156) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
ba516fd0ce7824e6228356c5f232cfab | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [34, 3], "expectation_value": -5.766500409184095, "params": [[0.059800000000000006], [-0.0548]], "bitstrings": ["1011101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.010942349018951286, 0.011267213615010374], "optimization_time": 2.8907132148742676} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 2.75 * (Z(5) @ Z(3)) + ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | 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(0.3289) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3289) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3289) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3289) 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] 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]... | {"k": 5} | {"circuits": [], "gradients": []} |
4c20f1c198d9974c2e06b7b7ac531193 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -1.0280555221551548, "params": [[0.0381, 0.026500000000000003, 0.061200000000000004, 0.043500000000000004], [-0.040400000000000005, -0.0058000000000000005, -0.041, -0.038]], "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0069109507... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"]} | 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(-0.0191) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0953) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0191) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0572) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
fb10cd80c44264e980b0dff5bd9ab2d5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "targ... | {"states": [8189, 16380], "expectation_value": -32.94127929383632, "params": [[[1.3288, 2.0067], [0.0027, -1.0344], [0.0029000000000000002, 0.0026000000000000003], [0.0024000000000000002, -0.0029000000000000002], [0.0026000000000000003, -0.0027], [0.0024000000000000002, 0.0028], [0.0018000000000000002, 0.002], [0.0019,... | -2.0 * (Z(0) @ Z(2)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + -2.... | 15 | 14 | 1 | {"smallest_eigenvalues": [-37.99999999999971], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.99999999999946, "smallest_bitstrings": ["00000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(1.3288) q[0];
ry(0.0027) q[1];
ry(0.0029) q[2];
ry(0.0024) q[3];
ry(0.0026) q[4];
ry(0.0024) q[5];
ry(0.0018) q[6];
ry(0.0019) q[7];
ry(0.0022) q[8];
ry(0.0019) q[9];
ry(0.0022) q[10];
ry(0.0024) q[11];
ry(-0.557) q[12];
ry(0.8071) q[13];
cx q[13], 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] x2;
input float[64] x3;
input float[6... | {"node": 11} | {"circuits": [], "gradients": []} |
acd53861e009fa993c7ee6f2ebdf4931 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -7.763362089722437, "params": [[[-0.0112, -0.0024000000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.0016, 0.0029000000000000002], [0.0007, -0.0031000000000000003], [0.0014, 0.0031000000000000003], [0.008700000000000001, -0.0026000000000000003], [0.0054, -0... | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(9) @ Z(4)) + -0.75 * (Z(9) @ Z(6)) + -0.25 * (Z(... | 15 | 11 | 3 | {"smallest_eigenvalues": [-8.25, -8.25, -8.25, -8.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000", "10000100000", "10001000000", "10001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0112) q[0];
ry(0.0018) q[1];
ry(0.0016) q[2];
ry(0.0007) q[3];
ry(0.0014) q[4];
ry(0.0087) q[5];
ry(0.0054) q[6];
ry(0.0107) q[7];
ry(0.0074) q[8];
ry(-1.5763) q[9];
ry(-0.0236) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
a4c9222a5b9b1eb79ad1a9b8af6d1a47 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [214, 182], "expectation_value": -2.7013565686140786, "params": [[[0.08360000000000001, 0.2516, 0.0016, 0.0022], [0.48100000000000004, -0.0363, 0.44420000000000004, 0.0007], [0.1279, 0.0616, 0.0092, 0.0621], [-0.042, -0.2807, -0.009300000000000001, 0.0057], [0.7004, -0.017, 0.0063, -0.023200000000000002], [-... | 0.5 * (Z(0) @ Z(1)) + 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)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(6) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3) @ Z(7)) ... | 12 | 9 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.25, "smallest_bitstrings": ["101001001", "101000011", "100100101", "100101001", "101100001", "100011001", "010011001", "010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0836) q[0];
rz(0.2516) q[0];
ry(0.481) q[1];
rz(-0.0363) q[1];
ry(0.1279) q[2];
rz(0.0616) q[2];
ry(-0.042) q[3];
rz(-0.2807) q[3];
ry(0.7004) q[4];
rz(-0.017) q[4];
ry(-0.0032) q[5];
rz(0.3004) q[5];
ry(0.4705) q[6];
rz(0.0065) q[6];
ry(0.0581) 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": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -16.04016654436624, "params": [0.1258, 0.1905, 0.1524, 0.2051, 0.14700000000000002, 0.20370000000000002, 0.1484, 0.2049, 0.1519, 0.18480000000000002, 0.49250000000000005, 0.09570000000000001, 0.49760000000000004, 0.0732, 0.4918, 0.09240000000000001, 0.1253, 0.1915, 0.1492, 0.2058... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.... | 3 | 8 | 4 | {"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;
rx(0.1258) q[0];
rz(0.1905) q[0];
rx(0.1524) q[1];
rz(0.2051) q[1];
rx(0.147) q[2];
rz(0.2037) q[2];
rx(0.1484) q[3];
rz(0.2049) q[3];
rx(0.1519) q[4];
rz(0.1848) q[4];
rx(0.4925) q[5];
rz(0.0957) q[5];
rx(0.4976) q[6];
rz(0.0732) q[6];
rx(0.4918) q[7];
rz(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[... | {"k": 5} | {"circuits": [], "gradients": []} |
2b860c5a8de3f0d11ed1561e08f8c201 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [330, 331], "expectation_value": -5.512445850576945, "params": [[0.7825000000000001, 1.5879, 0.0032, 1.5871000000000002, 0.0033, -0.0032, 1.5849, 0.0033, 1.4051, 0.18860000000000002], [0.0814, 1.5019, 0.0022, 1.5814000000000001, 0.0018000000000000002, -0.0017000000000000001, 1.5804, 0.0017000000000000001, 1.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(7) + ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["1010110100", "1100010110", "0110010110", "1000110110", "0110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7825) q[0];
ry(1.5879) q[1];
ry(0.0032) q[2];
ry(1.5871) q[3];
ry(0.0033) q[4];
ry(-0.0032) q[5];
ry(1.5849) q[6];
ry(0.0033) q[7];
ry(1.4051) q[8];
ry(0.1886) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz 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... | null | {"circuits": [], "gradients": []} |
-4740364187824343306 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [1, 4, 5], [2, 3, 4], [0, 1, 4]]} | {"states": [14, 26], "expectation_value": -1.4171294443021136, "params": null, "bitstrings": ["110001", "100101"], "total_optimization_steps": 33, "probabilities": [0.034262615794676474, 0.8940660614050697], "optimization_time": 28.545387268066406} | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4999999999999998, -1.4999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["100101", "011000"]} | 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(1.4449) q[4];
cry(-1.0324) q[1], q[3];
ry(0.7049) q[1];
cry(-0.4596) q[4], q[3];
cry(0.495) q[4], q[1];
ry(-0.3765) q[3];
cry(0.6985) q[1], q[2];
cry(-0.6947) q[1], q[5];
cry(-0.6947) q[1], q[0];
ry(0.4209) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.4449) 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 \"stdgat... |
af7ff602e385e2b324d14d3396a2867f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [0, 16], "expectation_value": -2.5190817717741023, "params": [[[0.0028, 0.0023], [1.6091, -0.0023], [0.0023, 0.0035], [-0.0029000000000000002, 0.0026000000000000003], [0.002, 0.0026000000000000003], [0.0034000000000000002, 0.0024000000000000002]]], "bitstrings": ["111111", "101111"], "total_optimization_step... | 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)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.75 * Z(3) + -0.75 * Z(4) + -0.75 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101111", "011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0028) q[0];
ry(1.6091) q[1];
ry(0.0023) q[2];
ry(-0.0029) q[3];
ry(0.002) q[4];
ry(0.0034) q[5];
cx q[5], q[0];
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(0.0023) q[0];
ry(-0.0023) q[1];
ry(0.0035) q[2];
ry(0.0026) 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[6] c;
qubit[6] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x3) q[3];
ry(x4) q... | null | {"circuits": [], "gradients": []} |
-6646672814995565532 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4], [1, 3], [3, 4], [3, 5, 6], [2, 3], [0, 2, 6]]} | {"states": [53, 55], "expectation_value": -0.03923204208529908, "params": [[-0.0668], [0.0637]], "bitstrings": ["1001010", "1001000"], "total_optimization_steps": 10, "probabilities": [0.008335485188595977, 0.00837946312609372], "optimization_time": 0.6253881454467773} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.0111) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0111) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0334) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0111) q[4];
cx q[1], q[4];
cx q[0], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
c... | null | {"circuits": [], "gradients": []} |
8321286015559293990 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6], [1, 4], [8, 2], [3, 5], [1, 7]]} | {"states": [417, 480], "expectation_value": -0.05670538902458274, "params": [[0.07880000000000001], [-0.0816]], "bitstrings": ["001011110", "000011111"], "total_optimization_steps": 10, "probabilities": [0.0021838353500231267, 0.0021838353500231267], "optimization_time": 1.9442620277404785} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(6) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | 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[3], q[0];
rz(0.0263) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0263) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.0263) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.0788) q[1];
cx q[4], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(x0) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(x0) ... | null | {"circuits": [], "gradients": []} |
6ed1ddb0c37b8c42f6032d980e7fb546 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [0, 63], "expectation_value": -7.620251072179762, "params": [[[0.0037, -0.7416], [0.0026000000000000003, 0.0033], [0.0024000000000000002, 0.0025], [0.0024000000000000002, 0.0026000000000000003], [0.0025, 0.0031000000000000003], [0.0034000000000000002, 0.1955], [1.5824, 0.0028]], [[0.45270000000000005, -1.564... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 15 | 7 | 2 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0037) q[0];
ry(0.0026) q[1];
ry(0.0024) q[2];
ry(0.0024) q[3];
ry(0.0025) q[4];
ry(0.0034) q[5];
ry(1.5824) q[6];
cx q[6], q[0];
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(-0.7416) q[0];
ry(0.0033) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-8130761535533955353 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [3, 4], [3, 6], [5, 6], [1, 2], [2, 4], [4, 6], [1, 3], [0, 2], [4, 5], [0, 1], [0, 6], [2, 6], [2, 3], [2, 7], [5, 7]]} | {"states": [106, 75], "expectation_value": -3.696229010778466, "params": null, "bitstrings": ["10010101", "10110100"], "total_optimization_steps": 72, "probabilities": [0.03996069029668477, 0.6066495292214367], "optimization_time": 105.82588005065918} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10110100"]} | 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[7], q[2];
cry(-1.0342) q[7], q[5];
cry(1.3762) q[7], q[4];
ry(0.6284) q[7];
cry(-0.6942) q[4], q[2];
cry(-0.6942) q[4], q[5];
ry(1.3489) q[6];
cry(-1.4021) q[1], q[3];
ry(1.1298) 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[7], 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] = me... |
e2d42d54466cad0e47a576fec07e2be9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -12.646267160706596, "params": [[-0.044000000000000004, 0.04, -0.029300000000000003], [0.0813, -0.01, 0.0154]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.00835238917020294, 0.009019739750875801], "optimization_time": 6.2012519... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 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(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "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(-0.352) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.352) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.352) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(-0.352) q[3];
cx q[4], q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
605742faa50c2e92c07356e058fd303f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [6, 33], "expectation_value": -0.1549899203290613, "params": [[0.059000000000000004], [-0.0585]], "bitstrings": ["111001", "011110"], "total_optimization_steps": 10, "probabilities": [0.016723556172748066, 0.01672490738412786], "optimization_time": 1.1994709968566895} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"]} | 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[1], q[0];
rz(0.059) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.059) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.059) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.059) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(0.059) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
4286d838a0864c608421aefd7c0a8694 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, ... | {"states": [129, 3], "expectation_value": -15.8282184789504, "params": null, "bitstrings": ["01111110", "11111100"], "total_optimization_steps": 45, "probabilities": [0.21414457341852555, 0.4733969601642436], "optimization_time": 54.8053412437439} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -2.25 * Z(1) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-22.25, -22.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -21.25, "smallest_bitstrings": ["11111110", "11111100"]} | 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(0.9755) q[7];
cry(-1.1413) q[7], q[0];
ry(-1.5709) q[3];
ry(-1.4402) q[1];
ry(-1.5709) q[4];
ry(1.5575) q[0];
cry(-1.9905) q[6], q[0];
cry(0.0381) q[6], q[7];
ry(-1.5708) q[2];
cry(-0.9875) q[5... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.9755) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [21, 31], "expectation_value": -4.478958451961376, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 52, "probabilities": [0.16347067988755046, 0.5183808250580454], "optimization_time": 47.32594347000122} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | 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(1.57) q[3], q[1];
cry(-1.5681) q[5], q[0];
ry(0.9547) q[5];
cry(1.5479) q[2], q[4];
cry(1.2165) q[4], q[2];
cry(0.2523) q[4], q[5];
ry(-0.3947) q[0];
cry(0.1894) q[2], q[5];
cry(0.4989) q[5], q[3];
cry(0.2793... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.57) q[3], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"s... |
b2edf981a9c05ff141b468ab5531d2c7 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [35, 11], "expectation_value": -3.4964640571444514, "params": null, "bitstrings": ["011100", "110100"], "total_optimization_steps": 25, "probabilities": [0.06634840825543914, 0.930366230374527], "optimization_time": 18.03964328765869} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(5) + -1.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011100", "110100"]} | 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(-1.5681) q[1];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[4];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[2];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
20a60ed013bc1976376f734be7d8d92c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 1, "target": 3}]} | {"states": [1781, 2931], "expectation_value": -0.6829277775947155, "params": [[-0.0465, -0.057300000000000004], [0.064, 0.0609]], "bitstrings": ["100100001010", "010010001100"], "total_optimization_steps": 10, "probabilities": [0.00034798702534876385, 0.0003479870253487639], "optimization_time": 6.370083808898926} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -6.0, "smallest_bitstrings": ["100100010010", "100100010001", "100100001010", "010010001001", "010001100100", "010010001100... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.0465) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0465) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0465) q[2];
cx q[0], q[2];
cx q[0], 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
754aee28c7d672c0aed674af64a71d63 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [1460, 1468], "expectation_value": -2.417891484715324, "params": [0.46030000000000004, 0.007200000000000001, 0.4666, 0.0036000000000000003, -0.010700000000000001, 0.2549, -0.013600000000000001, 0.2464, 0.4829, 0.0222, 0.48700000000000004, 0.0755, 0.49450000000000005, -0.0089, 0.49510000000000004, -0.0073, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(6)) + -0.125 * (Z(... | 7 | 11 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.25, "smallest_bitstrings": ["01011000001", "001010101... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4603) q[0];
rz(0.0072) q[0];
rx(-0.0107) q[1];
rz(0.2549) q[1];
rx(0.4829) q[2];
rz(0.0222) q[2];
rx(0.4945) q[3];
rz(-0.0089) q[3];
rx(0.0905) q[4];
rz(0.1937) q[4];
rx(0.4207) q[5];
rz(0.0383) q[5];
rx(0.4829) q[6];
rz(-0.0071) q[6];
rx(0.3462) 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": []} |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [355, 487], "expectation_value": -5.333749607233285, "params": [[-0.12250000000000001, -0.1361], [0.1242, 0.14800000000000002]], "bitstrings": ["111010011100", "111000011000"], "total_optimization_steps": 20, "probabilities": [0.001578362850833733, 0.0015783628508337349], "optimization_time": 7.7921586036682... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 2 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[9], q[5];
rz(-0.1225) q[5];
cx q[9], q[5];
cx q[9], q[6];
rz(-0.1225) q[6];
cx q[9], q[6];
cx q[5], q[6];
rz(-0.245) q[6];
cx q[5], q[6];
cx q[9], q[3];
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": 5} | {"circuits": [], "gradients": []} |
d55d504e597705d8581d37ec0d2e41ca | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [45, 63], "expectation_value": -4.247536484564604, "params": null, "bitstrings": ["1010010", "1000000"], "total_optimization_steps": 53, "probabilities": [0.2457050176544659, 0.7519615756918091], "optimization_time": 45.11788821220398} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | 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(1.5486) q[1];
ry(1.5486) q[3];
cry(1.5485) q[2], q[5];
ry(1.5485) q[4];
cry(1.4448) q[1], q[6];
cry(-1.4433) q[6], q[0];
cry(1.0458) q[5], q[2];
ry(0.0892) q[6];
cry(-0.1236) q[4], q[0];
ry(0.0761) q[2... | 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(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
0408e3dea32eb651b01e8b9497185352 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [14, 46], "expectation_value": -5.87695746802164, "params": [[[0.4212, 0.0543], [-0.020900000000000002, 0.316], [-0.0218, 0.30820000000000003], [0.5943, -0.0009000000000000001], [-0.0089, -0.31930000000000003], [0.608, 0.0011], [0.5955, 0.0026000000000000003], [0.6052000000000001, 0.0039000000000000003], [-0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["011010101", "111010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4212) q[0];
rz(0.0543) q[0];
rx(-0.0209) q[1];
rz(0.316) q[1];
rx(-0.0218) q[2];
rz(0.3082) q[2];
rx(0.5943) q[3];
rz(-0.0009) q[3];
rx(-0.0089) q[4];
rz(-0.3193) q[4];
rx(0.608) q[5];
rz(0.0011) q[5];
rx(0.5955) q[6];
rz(0.0026) q[6];
rx(0.6052) 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": []} |
d67dce3f5139cf39967f12d8ad7a1f95 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "ta... | {"states": [490, 234], "expectation_value": -68.96766215665801, "params": [0.4843, 0.3614, 1.0677, 0.001, 1.0673000000000001, -0.0061, 1.0723, 0.23670000000000002, 0.1769, 0.5272, 1.0674000000000001, 0.1129, 0.0838, 0.5516, 1.0693000000000001, 0.21580000000000002, 0.2846, 0.4403, 0.4782, 0.3226, 1.0686, -0.0105, 1.069,... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 12.0 * Z(1) + 9.5 * Z(0) + 11.0 * ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4843) q[0];
rz(0.3614) q[0];
rx(1.0677) q[1];
rz(0.001) q[1];
rx(1.0673) q[2];
rz(-0.0061) q[2];
rx(1.0723) q[3];
rz(0.2367) q[3];
rx(0.1769) q[4];
rz(0.5272) q[4];
rx(1.0674) q[5];
rz(0.1129) q[5];
rx(0.0838) q[6];
rz(0.5516) q[6];
rx(1.0693) 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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
61e3b2a5d555a14d43f55fdcbfde92db | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [310, 214], "expectation_value": -23.319905727509536, "params": [[-0.0333, 0.0055000000000000005], [0.0718, 0.07640000000000001]], "bitstrings": ["011001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006298211888344465, 0.007839600229834402], "optimization_time": 3.361057996749878} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(7)) + 5.0 * (Z(6) @ Z(8)) + 20.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100101001"]} | 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(-0.333) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.333) q[3];
cx q[1], q[3];
cx q[0], q[2];
rz(-0.333) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.333) q[2];
cx q[3], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
d90469a3a937de9d59e5f880f1684669 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [692, 331], "expectation_value": -53.56734447449975, "params": [[[1.5726, 0.042800000000000005], [1.9099000000000002, 1.2264000000000002], [1.5734000000000001, 1.5730000000000002], [1.5733000000000001, 1.3227], [1.5727, 1.5691000000000002], [1.5729, -1.0635000000000001], [1.5737, 1.5677], [1.572, 1.5736], [1... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(8) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(2)) + 8.5 * Z(1) + 4.5 * Z(2) + 6.0 * Z(3) + -2.5 * Z(0) + 2.0 * Z(4) + 1.5 * Z(5) + 7.5 * Z(6) + 8.5 * Z(8) + 3.5 * Z(7) + 0.5 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1010110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5726) q[0];
ry(1.9099) q[1];
ry(1.5734) q[2];
ry(1.5733) q[3];
ry(1.5727) q[4];
ry(1.5729) q[5];
ry(1.5737) q[6];
ry(1.572) q[7];
ry(1.5751) q[8];
ry(1.5689) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
35a826e5a7a58df96900c43579ad72b8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [19, 67], "expectation_value": -4.996397975823824, "params": null, "bitstrings": ["1101100", "0111100"], "total_optimization_steps": 27, "probabilities": [0.06635229672484312, 0.9303266266442286], "optimization_time": 22.645402193069458} | 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(5) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -2.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101100", "0111100"]} | 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[3];
ry(-1.5681) q[1];
ry(-1.4449) q[4];
ry(1.4417) q[6];
ry(1.4417) q[5];
cry(-1.0343) q[0], q[2];
ry(0.7003) q[0];
cry(-0.1259) q[6], q[4];
ry(-0.4549) q[2];
cry(0.4962) q[6], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b092771ce61a8acd6559293acbdc236f | 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": 2}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2},... | {"states": [2040, 2047], "expectation_value": -3.9754078936973714, "params": [[-0.07490000000000001], [0.07200000000000001]], "bitstrings": ["00000000111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0012329604874910288, 0.0012755121792145576], "optimization_time": 1.128399133682251} | -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(0)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -3.5 * (Z(4) @ Z(6)) + -3.5 * (Z(4) @ Z(7)) + -3.0 *... | 1 | 11 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["00000000000"]} | 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[2], q[0];
rz(0.3745) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.0749) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.4494) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(-0.0749) ... | 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[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]... | {"node": 8} | {"circuits": [], "gradients": []} |
24ad81747c6bd1903cd58d045c41656e | 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": 10, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 15, "source": 0, "target": 6}, {"weight": 4, "source": 2, "tar... | {"states": [411, 218], "expectation_value": -23.75983248904315, "params": [[0.0395, 0.0081, -0.0286], [-0.0879, -0.0745, -0.028]], "bitstrings": ["001100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.009500426100683638, 0.010368457766038713], "optimization_time": 6.267812728881836} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) + 5.0 * Z(0) + 16.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100100101"]} | 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[2], q[0];
rz(0.3555) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.3555) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.3555) q[1];
cx q[0], q[1];
cx q[2], q[4];
rz(0.3555) q[4];
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[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
44db6493095286b918fb0c5bac33de1d | 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": 3, "source": 0, "t... | {"states": [110, 107], "expectation_value": -9.86629785227922, "params": [[0.049100000000000005], [-0.078]], "bitstrings": ["10010001", "10010100"], "total_optimization_steps": 10, "probabilities": [0.00809542378610903, 0.00847096637148743], "optimization_time": 1.7847917079925537} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | 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[0], q[2];
rz(0.4419) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.4419) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.4419) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.4419) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
9e3fd441307ea46e321a51e29b173f1a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [239, 367], "expectation_value": -6.791001730462766, "params": [[0.11120000000000001], [-0.1706]], "bitstrings": ["11100010000", "11010010000"], "total_optimization_steps": 20, "probabilities": [0.0013866312181175493, 0.0013866312181175493], "optimization_time": 4.519793748855591} | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"]} | 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[5], q[4];
rz(0.4448) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(0.2224) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.1112) q[6];
cx q[4], q[6];
cx q[6], q[9];
rz(0.1112) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
5273248133323302655 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 2, 10], [0, 8, 2, 5], [1, 10, 3], [10, 3, 6, 7], [9, 10, 4, 5], [2, 6], [2, 7], [8, 10], [9, 4, 6], [0, 3, 5], [1, 7], [8, 9], [10, 4, 7], [8, 5, 6], [10, 4, 6], [9, 4, 7], [0, 1, 2], [0, 5, 6, 7]]} | {"states": [1051, 1083], "expectation_value": -0.059756387764367175, "params": [[0.0396], [-0.038900000000000004]], "bitstrings": ["01111100100", "01111000100"], "total_optimization_steps": 10, "probabilities": [0.000514976324710774, 0.0005163725928760939], "optimization_time": 32.815608739852905} | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(2)) + 0.25 * (Z(10) @ Z(9)) + 0.25 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(9)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.249999999999999, "smallest_bitstrings": ["01111000100"]} | 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[2], q[9];
rz(0.0132) q[9];
cx q[2], q[9];
cx q[2], q[10];
rz(0.0132) q[10];
cx q[2], q[10];
cx q[9], q[10];
rz(0.0198) q[10];
cx q[9], q[10];
cx q[2], q[0];
rz(0.01... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
fdfbddd83ad5e4b88801b3192987124e | 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": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [57, 1], "expectation_value": -1.9369381534819359, "params": [[0.0629, 0.0766, 0.0726], [-0.029300000000000003, -0.061000000000000006, -0.0659]], "bitstrings": ["1000110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.022983235804103504, 0.02358417986344589], "optimization_time": 3.66021203... | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "1000110"]} | 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(-0.0943) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.1887) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.1258) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.2516) q[6];
cx q[0], q[6];
cx q[5], 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] 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": []} |
d17fccf50cf7bc420cca6689629bd0f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"sour... | {"states": [106, 90], "expectation_value": -3.9392823185581807, "params": [-0.0213, -0.0178, 0.0015, -0.002, 0.4087, 0.4087, 0.3891, 0.3911, 0.3911, 0.3995, 0.40590000000000004, 0.4078, 0.1701, 0.1714, 0.39590000000000003, 0.392, 0.3925, 0.3896, -0.0178, -0.0166, -0.0043, -0.0028, 0.4071, 0.40340000000000004, 0.3969000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -2.5 * Z(0) + -1.0 *... | 13 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["110010110", "101011010", "110010101", "101011001", "110100110", "110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0213) q[0];
ry(0.0015) q[1];
ry(0.4087) q[2];
ry(0.3891) q[3];
ry(0.3911) q[4];
ry(0.4059) q[5];
ry(0.1701) q[6];
ry(0.3959) q[7];
ry(0.3925) q[8];
crz(0.235) q[8], q[0];
crz(-0.108) q[7], q[8];
crz(0.1482) q[6], q[7];
crz(0.1316) q[5], q[6];
crz(0.1288)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [18, 3], "expectation_value": -15.361953434616453, "params": null, "bitstrings": ["101101", "111100"], "total_optimization_steps": 50, "probabilities": [0.10929342150093539, 0.6388706778346432], "optimization_time": 61.88966751098633} | 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 ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | 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(-0.069) q[0];
ry(-0.1999) q[1];
ry(-0.3716) q[2];
ry(-0.8892) q[3];
cry(-1.199) q[5], q[2];
cry(-1.5018) q[4], q[0];
cry(-1.3709) q[5], q[1];
ry(0.9839) q[4];
cry(-0.6816) q[4], q[3];
ry(0.5496) q[5];
cry(-0.4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-0.069) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
bd4c1476c3aa7cafea7811e124c4791d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [246, 127], "expectation_value": -7.233963664700546, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 124.88206696510315} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"]} | 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(1.5708) q[1];
cry(1.5706) q[1], q[5];
cry(1.5626) q[4], q[3];
cry(1.5626) q[1], q[2];
cry(1.5486) q[4], q[7];
cry(0.8742) q[7], q[4];
cry(0.3966) q[7], q[3];
cry(-1.4585) q[7], q[0];
cry(1.3239... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
2284924743996628534 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [0, 4], [3, 5], [1, 2]]} | {"states": [44, 52], "expectation_value": -0.018330835522503343, "params": [[-0.0434], [0.0533]], "bitstrings": ["010011", "001011"], "total_optimization_steps": 10, "probabilities": [0.016203772696020607, 0.016203772696020607], "optimization_time": 0.3871924877166748} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["001011", "010011", "101100", "110100"]} | 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[5], q[0];
rz(-0.0434) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(-0.0434) q[4];
cx q[0], q[4];
cx q[5], q[3];
rz(-0.0434) q[3];
cx q[5], q[3];
cx q[2], q[1];
rz(-0.0434) q[1];
cx q[2], q[1];
rz(0) q[5];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[2], q[1];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
21fb824db9d4571acc6db752df147323 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.619343644644749, "params": [[1.5349000000000002, 0.2975, 1.5871000000000002, 0.2944, 1.5838, 0.34500000000000003, 1.5727, 1.5755000000000001, 0.3057, 1.5943, 0.27740000000000004, 1.5869, 0.2854, 1.5746, 0.30870000000000003, 0.3392], [1.5879, 0.3134, 1.5817, 0.2903, 1.5... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + 0.0002314814814814815 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + 0.0002314814814814815 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0229938271604597], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0229938271603904, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5349) q[0];
ry(0.2975) q[1];
ry(1.5871) q[2];
ry(0.2944) q[3];
ry(1.5838) q[4];
ry(0.345) q[5];
ry(1.5727) q[6];
ry(1.5755) q[7];
ry(0.3057) q[8];
ry(1.5943) q[9];
ry(0.2774) q[10];
ry(1.5869) q[11];
ry(0.2854) q[12];
ry(1.5746) q[13];
ry(0.3087) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
2df93713dba52fbc8f2926f6b2fd57be | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [30711, 30719], "expectation_value": -1.0366594473796797, "params": [1.5985, 0.001, 1.6035000000000001, 0.0053, 1.6088, 0.009600000000000001, 0.0022, 0.0036000000000000003, 1.6021, 0.0081, 1.6001, 0.0088, 1.6099, 0.0088, 1.6124, 0.0057, 1.607, 0.0048000000000000004, 1.6116000000000001, 0.0021000000000000003,... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(13) @ Z(4)) + 0.5 * (Z(13) @ Z(2)) + 0.5 * (Z(13) @ Z(5)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(14) @ Z(2)) + 0.5 * (Z(14) @ Z(5)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.... | 16 | 15 | 1 | {"smallest_eigenvalues": [-18.624999999999538], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.37499999999943, "smallest_bitstrings": ["000100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.5985) q[0];
rz(0.001) q[0];
rx(1.6035) q[1];
rz(0.0053) q[1];
rx(1.6088) q[2];
rz(0.0096) q[2];
rx(0.0022) q[3];
rz(0.0036) q[3];
rx(1.6021) q[4];
rz(0.0081) q[4];
rx(1.6001) q[5];
rz(0.0088) q[5];
rx(1.6099) q[6];
rz(0.0088) q[6];
rx(1.6124) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3881640076007148111 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 2, 6], [1, 6, 7], [1, 3], [0, 8, 1, 6], [3, 5, 6], [8, 3, 6, 7], [2, 3], [0, 4], [8, 0, 7], [0, 8, 3, 5], [5, 7], [8, 2, 4, 6], [0, 2, 5, 6], [8, 3, 4, 5], [0, 3, 7]]} | {"states": [61, 55], "expectation_value": -3.867413011556771, "params": null, "bitstrings": ["111000010", "111001000"], "total_optimization_steps": 62, "probabilities": [0.059117715608570695, 0.7757707221623323], "optimization_time": 154.5048279762268} | 0.41666666666666663 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333334, -4.083333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.916666666666668, "smallest_bitstrings": ["011010010", "111001000"]} | 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];
ry(1.5668) q[6];
ry(1.4977) q[8];
cry(-1.0894) q[3], q[2];
ry(1.0247) q[3];
cry(-1.4174) q[3], q[1];
cry(-0.6924) q[6], q[2];
cry(0.3247) q[6], q[3];
cry(-1.1298) q[7], q[5];
ry(0.8449) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5668) 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] = m... |
3453141621845394121 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5, 6], [0, 1, 3, 6], [1, 3, 4, 5, 6, 7], [2, 5], [2, 7], [0, 1, 2, 4, 6], [0, 2, 3, 6]]} | {"states": [213, 221], "expectation_value": -0.6588356572526199, "params": [[-0.2841], [0.27640000000000003]], "bitstrings": ["00101010", "00100010"], "total_optimization_steps": 30, "probabilities": [0.008477830280621913, 0.008648082238233086], "optimization_time": 3.7977867126464844} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.19999999999999998 * (Z(6) @ Z(5)) + 0.3833333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(5)) + 0.13333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666669 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.2 * (Z(3) @ Z(6... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.1166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["00100010"]} | 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[0];
rz(-0.0947) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.1136) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.2178) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(-0.0189) q[1];
cx q[5], q[1];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
6211599361614066600 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 3, 5], [8, 9, 5, 6], [9, 2], [0, 9, 5, 7], [1, 3, 6], [8, 1, 9, 0], [0, 9, 3, 8], [8, 0, 2, 5], [3, 4, 6], [2, 6]]} | {"states": [605, 601], "expectation_value": -2.848806867135699, "params": [1.7187000000000001, 1.4186, -0.1047, 0.0999, 0.0025, 0.0025, 1.3512, 1.7866000000000002, 0.0036000000000000003, -0.0008, 0.9334, 2.2026, 1.5619, 1.578, 1.0384, 0.4827, 1.6312, 1.5033, 1.3992, 1.7532, 0.171, 2.2840000000000003, -0.0902, 0.0065000... | 0.3333333333333333 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(9)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.25 * (Z(5) @ Z(9)) + 0.25 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(9)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.08333333... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["0110100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.7187) q[0];
ry(-0.1047) q[1];
ry(0.0025) q[2];
ry(1.3512) q[3];
ry(0.0036) q[4];
ry(0.9334) q[5];
ry(1.5619) q[6];
ry(1.0384) q[7];
ry(1.6312) q[8];
ry(1.3992) q[9];
crx(0.171) q[9], q[0];
crx(-0.6008) q[8], q[9];
crx(-0.1282) q[7], q[8];
crx(-0.1645) 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": []} |
d342f36573e8f4be8484fccf8571b55a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"sour... | {"states": [75, 79], "expectation_value": -5.049839517712913, "params": [[[-0.0045000000000000005, 0.32980000000000004], [-0.022500000000000003, 0.3113], [0.6057, -0.0006000000000000001], [0.3332, -0.07010000000000001], [-0.0151, 0.3143], [0.6075, 0.004], [0.6076, 0.0011], [0.6081, -0.0008], [0.6047, -0.001200000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -2.0 * Z(0) + 0.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110010100", "110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0045) q[0];
rz(0.3298) q[0];
rx(-0.0225) q[1];
rz(0.3113) q[1];
rx(0.6057) q[2];
rz(-0.0006) q[2];
rx(0.3332) q[3];
rz(-0.0701) q[3];
rx(-0.0151) q[4];
rz(0.3143) q[4];
rx(0.6075) q[5];
rz(0.004) q[5];
rx(0.6076) q[6];
rz(0.0011) q[6];
rx(0.6081) 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": []} |
9f16651ff069e7e4b10d7e6e3ea493cf | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, ... | {"states": [128, 127], "expectation_value": -0.3335517656371458, "params": [[0.07250000000000001, 0.06860000000000001], [-0.07780000000000001, -0.0584]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005522323026427259, 0.0059185616258102085], "optimization_time": 2.9917607... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + 0.0 * Z(3) + -0.25 * Z(0) + 0.0 * Z(6) + -0.75 * Z(7) + 0.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10000000"]} | 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[3], q[0];
rz(-0.0363) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(-0.0725) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0363) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.1088) q[7];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-1424619592659475064 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 5, 6, 8], [0, 1, 2, 3, 4, 5, 7, 8]]} | {"states": [239, 253], "expectation_value": -0.1649968126524344, "params": [[-0.6655], [0.5085000000000001]], "bitstrings": ["100010000", "100000010"], "total_optimization_steps": 70, "probabilities": [0.00314664526421561, 0.00314664526421561], "optimization_time": 6.738522529602051} | 0.06785714285714287 * (Z(0) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(1)) + 0.06785714285714287 * (Z(5) @ Z(0)) + 0.05 * (Z(6) @ Z(1)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.06785714285714287 * (Z(8) @ Z(1)) + 0.06785714285714287 * (Z(8) @ Z(0)) + 0.06785714285714287 * (Z(8) @ Z(5)) + 0.05 * (Z(8) @ Z(6)) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857142857142856, -0.37857... | 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(-0.0903) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0903) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0903) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(-0.0665) q[6];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
a524fb9bbf4c04d4c6f1ca508b56ffce | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 4, "source": 0, "target":... | {"states": [1023, 1007], "expectation_value": -34.28297825147568, "params": [[[-0.0002, -0.2247], [0.0044, 0.008], [0.0036000000000000003, 0.002], [0.0012000000000000001, 0.0018000000000000002], [0.0054, 0.0031000000000000003], [0.0118, 0.002], [0.6802, 0.002], [0.0036000000000000003, -0.0018000000000000002], [0.003400... | -1.75 * (Z(0) @ Z(6)) + -1.5 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -1.0 * (Z(10) @ Z(0)) + -2.0 * (Z(10) @ Z(8)) + -1.0 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(10)) + -1.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(10)) + -1.5 * (Z(7) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(10)) + -1.75 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-34.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.75, "smallest_bitstrings": ["10000010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0002) q[0];
ry(0.0044) q[1];
ry(0.0036) q[2];
ry(0.0012) q[3];
ry(0.0054) q[4];
ry(0.0118) q[5];
ry(0.6802) q[6];
ry(0.0036) q[7];
ry(0.0034) q[8];
ry(0.2783) q[9];
ry(0.0061) 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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [14, 10], "expectation_value": -5.431267137021939, "params": [0.0023, 0.618, 0.0012000000000000001, 0.6172000000000001, 0.00030000000000000003, 0.5985, 0.0032, 0.5693, 0.7923, 0.1463, 0.4929, 0.3156, 0.7977000000000001, 0.30160000000000003, 0.4889, 0.2781, 0.0022, 0.6093000000000001, 0.0035, 0.6108, 0.007, 0... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0023) q[0];
rz(0.618) q[0];
rx(0.0012) q[1];
rz(0.6172) q[1];
rx(0.0003) q[2];
rz(0.5985) q[2];
rx(0.0032) q[3];
rz(0.5693) q[3];
rx(0.7923) q[4];
rz(0.1463) q[4];
rx(0.4929) q[5];
rz(0.3156) q[5];
rx(0.7977) q[6];
rz(0.3016) q[6];
rx(0.4889) q[7];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
ce21934f35590d987f4c5aaf48137128 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [660, 1684], "expectation_value": -110.27375203417465, "params": [[0.3864, 0.057, 0.9603, 0.0038, 0.7821, -0.1327, -0.0555, 0.7938000000000001, 0.0333, 0.7911, 0.0038, -0.0019], [0.3865, 0.6988000000000001, 0.9768, -0.0019, 0.8378, -0.0414, -0.050100000000000006, 0.7884, -0.027200000000000002, 0.7871, 0.0023... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(11) @ Z(9)) + 7.0 * Z(1) + 2.0 * Z(0) + 7.5 * Z(2) + -4.5 * Z(3) + 2.0 * Z(5) + 8.5 * Z(4) + 1.0 * Z(6) + 7.5 * ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-133.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.5, "smallest_bitstrings": ["100101101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.3864) q[0];
ry(0.057) q[1];
ry(0.9603) q[2];
ry(0.0038) q[3];
ry(0.7821) q[4];
ry(-0.1327) q[5];
ry(-0.0555) q[6];
ry(0.7938) q[7];
ry(0.0333) q[8];
ry(0.7911) q[9];
ry(0.0038) q[10];
ry(-0.0019) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
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