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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [84, 92], "expectation_value": -2.5803719665992397, "params": [[[0.3744, -0.0012000000000000001, 0.008700000000000001, 0.0012000000000000001], [0.34550000000000003, -0.0038, 0.3431, 0.0006000000000000001], [0.003, -0.1764, 0.0097, -0.17850000000000002], [0.6907, -0.0009000000000000001, 0.6939000000000001, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.25 * Z(... | 12 | 8 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100011", "10011010", "01110100", "01100101", "01100011", "11010100", "01011010", "01011100", "10010110", "10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.3744) q[0];
rz(-0.0012) q[0];
ry(0.3455) q[1];
rz(-0.0038) q[1];
ry(0.003) q[2];
rz(-0.1764) q[2];
ry(0.6907) q[3];
rz(-0.0009) q[3];
ry(-0.4246) q[4];
rz(-0.0125) q[4];
ry(0.5197) q[5];
rz(-0.0108) q[5];
ry(0.0026) q[6];
rz(-0.2708) q[6];
ry(0.0017) 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": []} |
da378e6f5e35a754661216f75e79c65f | 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": [965, 709], "expectation_value": -48.96735052317556, "params": [-0.0021000000000000003, 0.006900000000000001, 2.3087, 0.0077, 1.4856, 0.0055000000000000005, 2.302, 0.0074, 2.3086, 0.0028, 1.4674, 0.0066, -0.0016, 0.0077, 1.4702000000000002, 0.0004, 2.2984, 0.0076, 0.1292, 0.005200000000000001, 2.302100000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(6) @ Z(10)) + 8.5 * Z(1) + -3.0 * Z(0) + 4.5 * Z(2) + 5.5 * Z(3) + 4.0 * Z(5) + 12.5 * Z(4) + 4.0 * Z(7) + 14.5 *... | 18 | 11 | 1 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["10100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0021) q[0];
rz(0.0069) q[0];
rx(2.3087) q[1];
rz(0.0077) q[1];
rx(1.4856) q[2];
rz(0.0055) q[2];
rx(2.302) q[3];
rz(0.0074) q[3];
rx(2.3086) q[4];
rz(0.0028) q[4];
rx(1.4674) q[5];
rz(0.0066) q[5];
rx(-0.0016) q[6];
rz(0.0077) q[6];
rx(1.4702) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
529588a3593a2411158637ac5a1628e8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [22, 150], "expectation_value": -5.037503105437972, "params": [0.6002000000000001, -0.0016, 0.012100000000000001, 0.3062, 0.19310000000000002, -0.1758, 0.6022000000000001, 0.0027, 0.2023, 0.2508, 0.6016, 0.0028, 0.6079, -0.0005, -0.0026000000000000003, 0.18660000000000002, 0.605, -0.0013000000000000002, 0.01... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(4) + -0.5 * Z(0) + -2.0 *... | 4 | 8 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6002) q[0];
rz(-0.0016) q[0];
rx(0.0121) q[1];
rz(0.3062) q[1];
rx(0.1931) q[2];
rz(-0.1758) q[2];
rx(0.6022) q[3];
rz(0.0027) q[3];
rx(0.2023) q[4];
rz(0.2508) q[4];
rx(0.6016) q[5];
rz(0.0028) q[5];
rx(0.6079) q[6];
rz(-0.0005) q[6];
rx(-0.0026) 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": []} |
26d7f56e59bfdf48052023802b40605b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 28], "expectation_value": -0.03861562624681389, "params": [[-0.0405], [0.0507]], "bitstrings": ["11001", "00011"], "total_optimization_steps": 10, "probabilities": [0.032149572132407246, 0.03241001985451911], "optimization_time": 1.0935041904449463} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(3) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(-0.0405) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0405) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0405) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0405) q[4];
cx q[1], q[4];
cx q[4], q[2];
rz(-0.0405) 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[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4];
cx q[3... | null | {"circuits": [], "gradients": []} |
cb23b1694a54570c0dc6ff3b8c0c90ef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [0, 255], "expectation_value": -7.454958711841978, "params": [0.1554, 0.38570000000000004, -0.0244, 0.0051, 0.2164, 2.4937, -0.062, 0.0094, -0.2817, 2.023, -0.8447, 0.0001, 0.4605, 2.6914000000000002, -0.7936000000000001, 0.0088, 1.0616, 2.2392000000000003, -0.5603, 0.0095, -1.032, 1.8704, -0.139, 0.0046, -1... | -1.0 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(8) + -0.5 * Z(0) | 6 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1554) q[0];
rz(0.3857) q[0];
rx(0.2164) q[1];
rz(2.4937) q[1];
rx(-0.2817) q[2];
rz(2.023) q[2];
rx(0.4605) q[3];
rz(2.6914) q[3];
rx(1.0616) q[4];
rz(2.2392) q[4];
rx(-1.032) q[5];
rz(1.8704) q[5];
rx(-1.0138) q[6];
rz(1.6812) q[6];
rx(-0.9807) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
c29746f1f9b101fcb66cc7ae69070de4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [94, 70], "expectation_value": -0.06651275311905167, "params": [[0.0066, 0.3714, 0.001, 0.005, 0.0058000000000000005, 0.0024000000000000002, 0.0017000000000000001, 0.0086], [0.0006000000000000001, -0.3753, -0.0008, 0.0046, 0.0098, 0.004200000000000001, 0.0086, 0.0012000000000000001]], "bitstrings": ["1010000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) ... | 9 | 8 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["11011001", "01001111", "10111001"]} | 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];
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];
rx(0.0066) q[0];
rx(0.3714) q[1];
rx(0.001) q[2];
rx(0.005) q[3];
rx(0.0058) q[4];
rx(0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
e29bfda33a1d7f43206bf01d0ef0c119 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [888, 4088], "expectation_value": -17.700793151566366, "params": null, "bitstrings": ["110010000111", "000000000111"], "total_optimization_steps": 100, "probabilities": [0.10814126717627674, 0.4280799502060518], "optimization_time": 251.59293460845947} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["000000000111"]} | 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];
cry(1.5708) q[4], q[1];
cry(1.5708) q[1], q[3];
cry(1.57) q[3], q[2];
cry(1.5708) q[10], q[11];
cry(1.0167) q[3], q[4];
cry(-1.0464) q[3], q[1];
cry(-0.0327) q[... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[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... |
87ba346715d7ffd469182fcb7e9830c2 | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -14.559634150648401, "params": [0.0071, 0.4857, 0.0029000000000000002, 0.7377, -0.6034, 0.0064, 0.0038, 0.6126, 0.0035, 0.745, 0.0046, 0.5315, 0.9984000000000001, 0.0035, 0.0043, -0.4222, 0.003, 0.7285, -0.6019, 0.0034000000000000002, 0.0008, 0.7315, 0.0022, 0.7459, 0.0019, 0.63... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -1.75 * (Z(6) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.75 * Z(1) + -0.25 * Z(0) + 4.0 * Z(2) + 1.75 * Z(4) + 0.5 * Z(6) + -1.75 * Z(3) + -1... | 3 | 7 | 3 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101110", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0071) q[0];
rz(0.4857) q[0];
rx(0.0029) q[1];
rz(0.7377) q[1];
rx(-0.6034) q[2];
rz(0.0064) q[2];
rx(0.0038) q[3];
rz(0.6126) q[3];
rx(0.0035) q[4];
rz(0.745) q[4];
rx(0.0046) q[5];
rz(0.5315) q[5];
rx(0.9984) q[6];
rz(0.0035) q[6];
crz(0.0121) 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": []} |
2df93713dba52fbc8f2926f6b2fd57be | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [24, 25], "expectation_value": -3.926449398946051, "params": [-0.0037, 0.47490000000000004, -0.0027, 0.5325, -0.0028, 0.5941000000000001, 0.8914000000000001, 0.0025, 0.8887, 0.0024000000000000002, -0.0029000000000000002, 0.6664, -0.0028, -0.6622, -0.8753000000000001, -0.0011, -0.0035, 0.0064, -0.0027, 0.0098... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 3 | 8 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0037) q[0];
rz(0.4749) q[0];
rx(-0.0027) q[1];
rz(0.5325) q[1];
rx(-0.0028) q[2];
rz(0.5941) q[2];
rx(0.8914) q[3];
rz(0.0025) q[3];
rx(0.8887) q[4];
rz(0.0024) q[4];
rx(-0.0029) q[5];
rz(0.6664) q[5];
rx(-0.0028) q[6];
rz(-0.6622) q[6];
rx(-0.8753) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-8957677311866646714 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [0, 5], [2, 3], [1, 3], [4, 5], [0, 3], [3, 4], [4, 6], [2, 6], [0, 7], [1, 6], [0, 2], [0, 4], [0, 6], [3, 5], [5, 6], [1, 4]]} | {"states": [23, 27], "expectation_value": -3.234914076390321, "params": null, "bitstrings": ["11101000", "11100100"], "total_optimization_steps": 65, "probabilities": [0.07806936901609166, 0.7370627499066837], "optimization_time": 88.75183749198914} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011011", "11101000", "01101101", "11100100", "00101101", "11010010", "10010010", "00010111"]} | 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[0];
cry(-1.0342) q[6], q[1];
ry(1.0293) q[6];
cry(1.4052) q[6], q[3];
cry(-0.9035) q[3], q[1];
cry(-1.5332) q[6], q[2];
cry(-1.2445) q[4], q[5];
cry(0.2583) q[3], q[6];
ry(0.7... | 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[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] = me... |
4a01a984c253fac78cca60269d01efc1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [97, 22], "expectation_value": -0.18153596661800656, "params": [[-0.0553], [0.06860000000000001]], "bitstrings": ["0011110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.00871283572033589, 0.008843317418998303], "optimization_time": 1.4736433029174805} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(5) + -1.5 * Z(1) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101110", "0011110", "0110110", "1101001"]} | 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(-0.0553) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0553) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(-0.0553) q[1];
cx q[4], q[1];
cx q[5], q[1];
rz(-0.0553) q[1];
cx q[5], q[1];
cx q[1], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(... | null | {"circuits": [], "gradients": []} |
5668cc0f2ff388f621c56d0e233584d7 | 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": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 6, "source": ... | {"states": [0, 256], "expectation_value": -30.50600316185193, "params": [-0.7615000000000001, 0.0035, 0.7614000000000001, 0.0063, 0.0019, 0.5918, 0.0019, 0.0055000000000000005, -0.037000000000000005, 0.2089, 0.0315, 0.0079, 0.8029000000000001, 0.0081, 0.8011, 0.009300000000000001, 0.0912, 0.2086, -0.056600000000000004,... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -0.5 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(9)) + 4.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -1.5 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(9)) + -0.25 * (Z(7... | 6 | 12 | 1 | {"smallest_eigenvalues": [-36.0, -36.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.0, "smallest_bitstrings": ["111011111111", "111011111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.7615) q[0];
rz(0.0035) q[0];
rx(0.0019) q[1];
rz(0.5918) q[1];
rx(-0.037) q[2];
rz(0.2089) q[2];
rx(0.8029) q[3];
rz(0.0081) q[3];
rx(0.0912) q[4];
rz(0.2086) q[4];
rx(0.2807) q[5];
rz(0.0059) q[5];
rx(0.0172) q[6];
rz(0.4267) q[6];
rx(-0.0031) 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[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-5534787900246124345 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 6], [1, 4, 5], [0, 3], [2, 6]]} | {"states": [99, 43], "expectation_value": -1.621404199564959, "params": null, "bitstrings": ["0011100", "1010100"], "total_optimization_steps": 42, "probabilities": [0.05652880647609067, 0.839025460361606], "optimization_time": 35.20804286003113} | 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.3333333333333333 * Z(4) + 0.3333333333333333 * Z(1) + 0.16666666666666663 * Z(6) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["1110000", "0011100", "0111000", "1010100"]} | 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(1.2292) q[1];
cry(-1.0342) q[3], q[0];
cry(-1.0342) q[6], q[2];
ry(0.7191) q[6];
ry(0.7003) q[3];
ry(-0.4711) q[2];
cry(0.4863) q[1], q[6];
ry(-0.4549) q[0];
cry(0.4928) q[1], q[3];
cry(-0.3748) q[1], ... | 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(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
726a5ae01318539d56f80c3be6bbd791 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [36, 18], "expectation_value": -1.2569637924900732, "params": [[-0.0618, -0.0548, -0.029300000000000003], [0.07730000000000001, 0.0745, 0.060500000000000005]], "bitstrings": ["011011", "101101"], "total_optimization_steps": 10, "probabilities": [0.02366805100007834, 0.026622000800143146], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"]} | 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(-0.0618) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0618) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0618) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0618) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
36fc1c5be2c91695283e8185a1ebb45b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [21, 37], "expectation_value": -3.996397945306564, "params": null, "bitstrings": ["1101010", "1011010"], "total_optimization_steps": 31, "probabilities": [0.06635230077962434, 0.9303266047475932], "optimization_time": 26.00277304649353} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011101", "1100101", "1101010", "0110101", "1011010"]} | 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(-1.5681) q[0];
ry(-1.5681) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[6];
ry(1.4417) q[4];
cry(-1.0343) q[1], q[2];
ry(0.7003) q[1];
cry(-0.1259) q[6], q[5];
ry(-0.4549) q[2];
cry(0.4962) q[6], q[1];
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(-1.5681) 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", ... |
2398b0b8852b758caa629303970b584b | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -0.45682602441269415, "params": [[-0.058300000000000005, -0.0292], [0.0717, 0.0516]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.01959961716747843, 0.020130862157600557], "optimization_time": 4.35149073600769} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0583) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0583) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0583) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0583) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
a4887282391b847c36275b441eb6d545 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": ... | {"states": [6109, 6078], "expectation_value": -0.08106891760155607, "params": [[0.07540000000000001], [-0.0787]], "bitstrings": ["0100000100010", "0100001000001"], "total_optimization_steps": 10, "probabilities": [0.00014990611668358591, 0.000149906116683586], "optimization_time": 27.77910614013672} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.125, "smallest_bitstrings": ["0000110000010", "1000000001001", "0010000101000", "1000000000110", "0001010000001", "0100000100010", "0000101010000", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[1], q[0];
rz(0.0094) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0094) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0094) q[0];
cx q[3], q[0];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | null | {"circuits": [], "gradients": []} |
8bfdc67b849fbd87b046066dfe87fda5 | 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": 8}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"sour... | {"states": [330, 458], "expectation_value": -4.018738270163196, "params": [[0.9971000000000001, -0.016800000000000002, 0.9931000000000001, 0.0009000000000000001, 0.010700000000000001, 0.7992, 0.19460000000000002, 0.8058000000000001, -0.0057], [0.9957, 0.5968, 0.993, -0.0005, -0.051300000000000005, 0.801, -0.1849, 0.782... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(8) + 0.0 * Z(0) + -1.0 * Z(6) + 0.0 * Z(1) + -1.0 * Z(4) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(7) + 0.0 * Z(5) | 10 | 9 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["100010110", "010110001", "100110100", "000110101", "000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.9971) q[0];
ry(-0.0168) q[1];
ry(0.9931) q[2];
ry(0.0009) q[3];
ry(0.0107) q[4];
ry(0.7992) q[5];
ry(0.1946) q[6];
ry(0.8058) q[7];
ry(-0.0057) 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];
cz q[3], q[2];
cz q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2216438936551548206 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 5, 6], [1, 7, 6, 9], [8, 0, 3, 5], [10, 6, 7], [2, 4], [10, 11]]} | {"states": [3391, 2367], "expectation_value": -1.5681617116883855, "params": [1.8962, -0.0029000000000000002, 1.2643, 0.3113, 0.6653, -0.0545, 1.9078000000000002, 0.0033, 0.5809000000000001, 0.8221, 0.7683, 0.8909, 1.8019, -0.0024000000000000002, 1.8822, -0.0035, 1.8951, -0.0034000000000000002, 1.9025, 0.0033, 1.905900... | 0.16666666666666666 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(9) @ Z(8)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(11) @ Z(8)) + 0.08333333333333333 * (Z(11) @ Z(1)) + 0.08333333333333333 * (Z(11) ... | 4 | 12 | 1 | {"smallest_eigenvalues": [-2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667, -2.166666666666667], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.1666666666666665, "smallest_bitstrings": ["111010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8962) q[0];
rz(-0.0029) q[0];
rx(1.2643) q[1];
rz(0.3113) q[1];
rx(0.6653) q[2];
rz(-0.0545) q[2];
rx(1.9078) q[3];
rz(0.0033) q[3];
rx(0.5809) q[4];
rz(0.8221) q[4];
rx(0.7683) q[5];
rz(0.8909) q[5];
rx(1.8019) q[6];
rz(-0.0024) q[6];
rx(1.8822) 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": []} |
1c9f0aa80e0354120d0d9a354ab113f1 | 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}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [255, 254], "expectation_value": -1.6510664459809437, "params": [[0.0461], [-0.0414]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.005597464494658975, 0.005640282192569223], "optimization_time": 2.315223455429077} | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 1.5... | 5 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.2766) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2766) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0461) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(-0.3227) q[3];
cx q[2], q[3];
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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1]... | {"node": 7} | {"circuits": [], "gradients": []} |
460c923df83f30f22def2c9af8610a90 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [185, 441], "expectation_value": -1.4818369006834506, "params": [-0.0015, -0.0004, 0.4999, 0.5002, 0.5014000000000001, 0.49810000000000004, 0.2061, 0.1973, 0.5049, 0.5022, 0.4989, 0.5017, 0.5017, 0.4943, 0.2726, 0.27890000000000004, 0.29650000000000004, 0.2936, 0.505, 0.5056, -0.0047, -0.0033, 0.500500000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(5) @ Z(7)) + -0.125 * (Z(... | 14 | 10 | 2 | {"smallest_eigenvalues": [-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": 11, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100000101", "1100001100", "1001010010", "1001101000", "1001100010", "1001100001", "1010000110", "1101001000", "1100000110", "10010010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0015) q[0];
ry(0.4999) q[1];
ry(0.5014) q[2];
ry(0.2061) q[3];
ry(0.5049) q[4];
ry(0.4989) q[5];
ry(0.5017) q[6];
ry(0.2726) q[7];
ry(0.2965) q[8];
ry(0.505) q[9];
crx(0.0065) q[9], q[0];
crx(-0.0244) q[8], q[9];
crx(0.2818) q[7], q[8];
crx(-0.1038) 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": []} |
89c7521d0f4383e77e73ec35feb14209 | 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": 8, "source": 0, "t... | {"states": [205, 109], "expectation_value": -26.857322767050032, "params": [[0.0316, 0.0018000000000000002, -0.0016, -0.0021000000000000003], [-0.083, -0.0743, -0.0694, -0.062200000000000005]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.020901507563102086, 0.023400699913... | 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(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "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[0], q[2];
rz(0.2844) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.2844) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.2844) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.2844) q[3];
cx q[1], q[3];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
3d1dde02abe951da208ed22501079cfd | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [69, 7], "expectation_value": -5.404516850915025, "params": [[-0.0458], [0.0557]], "bitstrings": ["10111010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005225815354262477, 0.005426970942956919], "optimization_time": 4.686155319213867} | 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)) + 2.... | 9 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2519) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2519) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2519) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2519) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"k": 5} | {"circuits": [], "gradients": []} |
e69550c833474bf45ede93c29793364e | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [187, 179], "expectation_value": -1.5167361818220653, "params": [-0.0028, 0.6581, 0.9077000000000001, 0.10450000000000001, 0.47090000000000004, 0.5739000000000001, 0.9047000000000001, 0.16740000000000002, 0.9033, 0.155, 0.6947, 0.157, 0.0012000000000000001, -0.0045000000000000005, 0.9045000000000001, 0.006, ... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(3) @ Z(6)) ... | 16 | 9 | 2 | {"smallest_eigenvalues": [-3.8125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8125, "smallest_bitstrings": ["101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0028) q[0];
rz(0.6581) q[0];
rx(0.9077) q[1];
rz(0.1045) q[1];
rx(0.4709) q[2];
rz(0.5739) q[2];
rx(0.9047) q[3];
rz(0.1674) q[3];
rx(0.9033) q[4];
rz(0.155) q[4];
rx(0.6947) q[5];
rz(0.157) q[5];
rx(0.0012) q[6];
rz(-0.0045) q[6];
rx(0.9045) 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": []} |
6366756672736815379 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [4, 5], [0, 2], [0, 1, 7], [4, 6, 7], [0, 1, 3], [0, 3, 5], [1, 4, 7], [0, 6, 7], [0, 1, 4], [1, 2, 6], [5, 6]]} | {"states": [59, 155], "expectation_value": -0.1172388638437538, "params": [[-0.0599], [0.07350000000000001]], "bitstrings": ["11000100", "01100100"], "total_optimization_steps": 10, "probabilities": [0.004302600681712402, 0.004304079337956609], "optimization_time": 2.7174952030181885} | 0.5 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.166666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333335, "smallest_bitstrings": ["01100100"]} | 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[5];
rz(-0.0599) q[5];
cx q[7], q[5];
cx q[7], q[4];
rz(-0.0399) q[4];
cx q[7], q[4];
cx q[5], q[4];
rz(-0.0599) q[4];
cx q[5], q[4];
cx q[7], q[0];
rz(-0.0399) q[0];
cx q[7], q[0];
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;
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[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[4];
rz(x1) q[4];
cx q[... | null | {"circuits": [], "gradients": []} |
7d035ca1bf1f85a5b9e73dc65bf927bc | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [88, 112], "expectation_value": -0.20084963541174372, "params": [[-0.030100000000000002, -0.06330000000000001], [0.020900000000000002, 0.057300000000000004]], "bitstrings": ["0100111", "0001111"], "total_optimization_steps": 10, "probabilities": [0.008873941041491981, 0.009048720078489787], "optimization_tim... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(3) + -1.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0011101", "0110101", "1110001", "1011100", "0100111", "0001111", "1110100"]} | 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(-0.0301) q[0];
cx q[4], q[0];
cx q[4], q[6];
rz(-0.0301) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(-0.0301) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(-0.0301) q[1];
cx q[4], q[1];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
a496643cb2e08d855373b91d187c0135 | 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": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -19.1394833526135, "params": [[-0.039400000000000004, -0.0178, 0.012100000000000001], [0.06810000000000001, 0.0723, 0.0606]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.017542105679751917, 0.020843903629265758], "optimization_tim... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[1];
rz(-0.3546) q[1];
cx q[0], q[1];
cx q[2], q[4];
rz(-0.3546) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.3546) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(-0.3546) q[3];
cx q[4], 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
bd80949c6c091a053c83f537048f1163 | 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": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [356, 357], "expectation_value": -6.163053079552959, "params": [0.7032, 0.001, 0.7068, 0.0022, 0.2788, -0.0027, 0.0804, 0.0027, 0.7016, 0.0007, 0.7046, 0.0091, 0.7096, 0.0032, 0.7052, 0.0008, 0.7028, 0.0018000000000000002, 0.2823, 0.007500000000000001, 0.16140000000000002, 0.0058000000000000005, 0.0675, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7032) q[0];
rz(0.001) q[0];
rx(0.2788) q[1];
rz(-0.0027) q[1];
rx(0.7016) q[2];
rz(0.0007) q[2];
rx(0.7096) q[3];
rz(0.0032) q[3];
rx(0.7028) q[4];
rz(0.0018) q[4];
rx(0.1614) q[5];
rz(0.0058) q[5];
rx(0.7059) q[6];
rz(-0.0011) q[6];
rx(0.7005) 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": []} |
-4010982360647028719 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [0, 5, 6], [2, 3], [1, 4, 5], [0, 1, 3], [2, 5], [3, 5, 6], [0, 4, 5], [0, 1, 5]]} | {"states": [43, 42], "expectation_value": -2.831870499265329, "params": null, "bitstrings": ["1010100", "1010101"], "total_optimization_steps": 22, "probabilities": [0.24965049803628875, 0.24965049803628875], "optimization_time": 22.48222327232361} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0010101", "1010101", "1010001", "1010100", "1010000"]} | 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(1.5592) q[5];
cry(-1.4449) q[5], q[2];
ry(1.5286) q[3];
cry(1.4418) q[5], q[1];
cry(-1.2262) q[1], q[0];
ry(-0.1259) q[2];
cry(-0.2843) q[5], q[0];
ry(0.1034) q[1];
cry(0.0415) q[5], q[3];
cry(-0.0537)... | 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(1.5592) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
f490a28ecdd83f85cb7689547a0eb0f1 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 52], "expectation_value": -2.9965155422382117, "params": null, "bitstrings": ["101010", "001011"], "total_optimization_steps": 20, "probabilities": [0.06700896507806574, 0.929746058313105], "optimization_time": 15.461707830429077} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(4) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) | 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": ["101100", "101010", "001011", "010011"]} | 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[4];
ry(-1.4449) q[2];
ry(1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.497) q[3], q[0];
cry(-0.3761) q[3], q[5];
cry(0.2474) q[1], q[0];
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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7230264774473700390 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 3, 6], [2, 4], [0, 1], [3, 5], [2, 7]]} | {"states": [224, 228], "expectation_value": -2.0770178864015256, "params": null, "bitstrings": ["100011111", "100011011"], "total_optimization_steps": 72, "probabilities": [0.21827503128710798, 0.2806953421173656], "optimization_time": 135.6844925880432} | 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["101001000", "100110010", "010011110", "011001000", "010110010", "010011011", "100011110", "100011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[2], q[4];
ry(0.9138) q[2];
cry(-1.367) q[2], q[7];
ry(-0.6219) q[4];
cry(-1.0342) q[1], q[0];
cry(-1.0342) q[3], q[5];
ry(0.8239) q[3];
cry(0.3677) q[3], q[2];
ry(0.7003) 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];\ncry(-1.0342) q[2], 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... |
a3571c19d72a014065614d323aff3379 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [21, 30], "expectation_value": -0.45568357843918283, "params": [[-0.030500000000000003, -0.0352, -0.0555, -0.06420000000000001], [0.0292, 0.0218, 0.0487, 0.0627]], "bitstrings": ["101010", "100001"], "total_optimization_steps": 10, "probabilities": [0.021842857173882672, 0.023312760033310287], "optimization_... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0305) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0305) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0305) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.0305) q[5];
cx q[4], q[5];
cx q[0], q[1];
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": []} |
6de3ca972134e3b2df718cabf76739a9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [695, 445], "expectation_value": -0.008053266245131807, "params": [[-0.0302], [0.0223]], "bitstrings": ["0101001000", "1001000010"], "total_optimization_steps": 10, "probabilities": [0.0009976273058479388, 0.000997627305847939], "optimization_time": 15.00274395942688} | 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(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.8125, -3.8125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.8125, "smallest_bitstrings": ["1001000010", "0101001000"]} | 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[1], q[0];
rz(-0.0151) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0151) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0151) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h ... | null | {"circuits": [], "gradients": []} |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [88, 56], "expectation_value": -0.24138412121387975, "params": [[-0.0826], [0.0743]], "bitstrings": ["0100111", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008910469599249474, 0.008910469599249477], "optimization_time": 1.3451242446899414} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"]} | 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(-0.0826) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0826) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0826) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(-0.0826) q[2];
cx q[4], q[2];
cx q[5], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
e1ee122704659894b3696f576081a2cf | 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": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [250, 218], "expectation_value": -31.95669181165389, "params": [[-0.0375, 0.0034000000000000002, -0.006900000000000001, 0.019200000000000002], [0.07060000000000001, 0.0541, 0.0666, 0.057300000000000004]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0112017793... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | 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(-0.3375) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3375) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3375) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.3375) q[4];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
cf9a1540b011355d554ff1ed574e9153 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [119, 118], "expectation_value": -65.1339897159685, "params": [0.1545, 0.36760000000000004, 0.7774000000000001, 0.0014, 0.7881, -0.0004, 0.892, 0.1463, 0.234, 0.3519, 0.8602000000000001, 0.0049, 0.8646, -0.07100000000000001, 0.34900000000000003, -0.218, 0.1583, 0.35450000000000004, 0.7959, 0.0043, 0.7793, -0... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.1545) q[0];
rz(0.3676) q[0];
rx(0.7774) q[1];
rz(0.0014) q[1];
rx(0.7881) q[2];
rz(-0.0004) q[2];
rx(0.892) q[3];
rz(0.1463) q[3];
rx(0.234) q[4];
rz(0.3519) q[4];
rx(0.8602) q[5];
rz(0.0049) q[5];
rx(0.8646) q[6];
rz(-0.071) q[6];
rx(0.349) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4881541922666169715 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 6, 7, 8], [0, 1, 2, 3, 4, 7], [5, 7], [0, 1, 3, 4, 6, 8, 9], [2, 3, 4, 5, 6, 8], [0, 1, 2, 5, 6, 8], [0, 1, 2, 4, 8], [1, 2, 3, 4, 6, 7, 9], [0, 1, 2, 3, 5, 9], [8, 9, 2, 4], [1, 2, 4, 6, 8], [8, 3, 7], [0, 2, 6, 7], [8, 1, 3, 5], [8, 1, 4, 7]]} | {"states": [506, 762], "expectation_value": -2.6732003961070707, "params": [[[0.7761, -0.459, 0.0014, 0.0008], [1.397, -0.4602, 0.6523, 0.0008], [1.3903, 0.0055000000000000005, 1.3978000000000002, 0.007], [0.5883, 0.5888, 0.18710000000000002, 0.0071], [1.3958000000000002, 0.0005, 1.4011, 0.0041], [0.5574, 0.6079, 0.178... | 0.27380952380952384 * (Z(1) @ Z(2)) + 0.2738095238095238 * (Z(6) @ Z(2)) + 0.18095238095238098 * (Z(6) @ Z(1)) + 0.19047619047619047 * (Z(7) @ Z(2)) + 0.19047619047619047 * (Z(7) @ Z(1)) + 0.15714285714285714 * (Z(7) @ Z(6)) + 0.3 * (Z(8) @ Z(2)) + 0.37380952380952376 * (Z(8) @ Z(1)) + 0.19047619047619047 * (Z(8) @ Z(6... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2071428571428564, "smallest_bitstrings": ["0100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7761) q[0];
rz(-0.459) q[0];
ry(1.397) q[1];
rz(-0.4602) q[1];
ry(1.3903) q[2];
rz(0.0055) q[2];
ry(0.5883) q[3];
rz(0.5888) q[3];
ry(1.3958) q[4];
rz(0.0005) q[4];
ry(0.5574) q[5];
rz(0.6079) q[5];
ry(1.3904) q[6];
rz(-0.0035) q[6];
ry(1.3936) 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": []} |
6f8c6ff9996b89cfcf990ffd7b6839cc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 191], "expectation_value": -14.949470409889566, "params": [-0.0028, 1.3103, -0.0034000000000000002, 0.0015, -0.002, 1.4389, -0.0021000000000000003, 0.0057, -0.12150000000000001, 2.6774, -0.028800000000000003, 0.0031000000000000003, -0.0022, 1.8247, -0.0004, 0.0025, 0.3992, 2.9953000000000003, 0.378700000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(2) @ Z(9)) + -2.0 * (Z(2) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(3) + 0.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["1101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0028) q[0];
rz(1.3103) q[0];
rx(-0.002) q[1];
rz(1.4389) q[1];
rx(-0.1215) q[2];
rz(2.6774) q[2];
rx(-0.0022) q[3];
rz(1.8247) q[3];
rx(0.3992) q[4];
rz(2.9953) q[4];
rx(0.2084) q[5];
rz(0.5543) q[5];
rx(0.2243) q[6];
rz(1.0961) q[6];
rx(-0.9228) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
b5d31547332077f719420bef3fcbd8c6 | 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": 7}, {"source": 1, "target": 9}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [75, 79], "expectation_value": -2.037253077637056, "params": [0.3209, 0.3168, 0.2984, 0.2972, 0.08420000000000001, 0.0883, 0.8093, 0.8071, 0.3195, 0.31720000000000004, 0.2907, 0.28900000000000003, 0.8099000000000001, 0.8077000000000001, 0.8014, 0.803, 0.7999, 0.8052, 0.8035, 0.8049000000000001, 0.0022, 0.004... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(7) + 0.0 * Z(9) + -1.0 * Z(2) + 0.0 * Z(8) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["1010101001", "1011010001", "1110101000", "0111010100", "0101010110", "0110101100", "1110110000", "1111010000", "1010110001", "0110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3209) q[0];
ry(0.2984) q[1];
ry(0.0842) q[2];
ry(0.8093) q[3];
ry(0.3195) q[4];
ry(0.2907) q[5];
ry(0.8099) q[6];
ry(0.8014) q[7];
ry(0.7999) q[8];
ry(0.8035) q[9];
crz(0.0022) q[9], q[0];
crz(0.0031) q[8], q[9];
crz(0.0049) q[7], q[8];
crz(0.0284) 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": []} |
ee183be25ff5cf792caaa72edcb0a0c1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [0, 255], "expectation_value": -8.734427152397574, "params": [-0.018600000000000002, 0.9740000000000001, -0.6519, 0.00030000000000000003, 0.7038, 0.4761, -0.6546000000000001, 0.007500000000000001, 0.7789, 0.6019, -0.28850000000000003, 0.0067, 0.7798, 0.9168000000000001, -0.17270000000000002, 0.0057, 0.776400... | -2.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0186) q[0];
rz(0.974) q[0];
rx(0.7038) q[1];
rz(0.4761) q[1];
rx(0.7789) q[2];
rz(0.6019) q[2];
rx(0.7798) q[3];
rz(0.9168) q[3];
rx(0.7764) q[4];
rz(1.4135) q[4];
rx(1.2484) q[5];
rz(1.3342) q[5];
rx(0.6969) q[6];
rz(1.3688) q[6];
rx(0.4259) 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[... | {"node": 1} | {"circuits": [], "gradients": []} |
1e277e87feb79246d4c3112af02a6a4a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target": 3}, {"weight": 19, "source": 2, "targ... | {"states": [189, 188], "expectation_value": -40.00847550911185, "params": [[-0.0366, -0.0025, 0.0054, -0.001], [0.0801, 0.0723, 0.0623, 0.057]], "bitstrings": ["101000010", "101000011"], "total_optimization_steps": 10, "probabilities": [0.01567435941863119, 0.01848603519314521], "optimization_time": 7.6832356452941895} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3294) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3294) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.3294) q[4];
cx q[1], q[4];
cx q[3], q[4];
rz(-0.3294) q[4];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
e136dd3cea407d3fe443210f8cf0dea7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 1, "target": 2}, {"weight": 8, "source": 2, "target": 3}, {"weight": 16, "sourc... | {"states": [234, 186], "expectation_value": -19.39954977876706, "params": [[-0.0313, 0.0036000000000000003], [0.0734, 0.07]], "bitstrings": ["100010101", "101000101"], "total_optimization_steps": 10, "probabilities": [0.0056342238661415784, 0.006722927771909632], "optimization_time": 3.07019305229187} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 19.5 * Z(1) + 0.0 * Z(0) + 14.0 * Z(2) + 17.0 * Z(3) + 1... | 1 | 9 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["101000101"]} | 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(-0.313) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.313) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.313) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(-0.313) q[3];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
cad641d981f27f8814cde398a8be85de | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [230, 118], "expectation_value": -8.832450604640291, "params": [[-0.042100000000000005], [0.0639]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006889218230062219, 0.007084902094838303], "optimization_time": 1.7773735523223877} | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 6.5 * Z(0) + 15.0 * Z(3) + 16.5 * Z(1) + 19.0 * Z(2) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-66.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "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[0], q[3];
rz(-0.3789) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.3789) q[1];
cx q[0], q[1];
cx q[3], q[1];
rz(-0.3789) q[1];
cx q[3], q[1];
cx q[0], q[2];
rz(-0.3789) q[2];
cx q[0], q[2];
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;
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": []} |
d75363653ef00cde7e482c2c3392dff7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [143, 191], "expectation_value": -5.589637543306164, "params": null, "bitstrings": ["101110000", "101000000"], "total_optimization_steps": 77, "probabilities": [0.21364442366040196, 0.6608383547147513], "optimization_time": 133.28516149520874} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["111110010", "111110000", "111110110", "111110100", "101000000", "101110010", "101110000", "100000000"]} | 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(1.5708) q[5];
ry(1.5706) q[7];
cry(1.5158) q[4], q[3];
ry(1.3013) q[1];
cry(-1.3019) q[8], q[0];
ry(1.1166) q[8];
cry(1.3656) q[8], q[6];
cry(-0.6815) q[6], q[0];
cry(1.0459) q[3], q[4]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -0.21480399822468535, "params": [[-0.0608, -0.07390000000000001], [0.0717, 0.06810000000000001]], "bitstrings": ["11001", "10011"], "total_optimization_steps": 10, "probabilities": [0.03722387148146553, 0.03722387148146556], "optimization_time": 1.780604362487793} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0608) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0608) q[1];
cx q[3], q[1];
cx q[2], q[4];
rz(-0.0608) q[4];
cx q[2], q[4];
cx q[3], q[4];
rz(-0.0608) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0608) 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
a38227ca05bb5e1c3110df61e15475e5 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [138, 139], "expectation_value": -2.464140479902167, "params": [0.5059, -0.1019, 0.4985, 0.0241, 0.0838, -0.19840000000000002, 0.0796, -0.2089, 0.0772, 0.2101, 0.0732, 0.21100000000000002, 0.49150000000000005, 0.2082, 0.38370000000000004, 0.21180000000000002, 0.501, 0.1817, 0.49660000000000004, 0.2015, -0.02... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -0.5 * Z(7) + -0.5 * Z(1) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) | 5 | 8 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101100", "01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5059) q[0];
rz(-0.1019) q[0];
rx(0.0838) q[1];
rz(-0.1984) q[1];
rx(0.0772) q[2];
rz(0.2101) q[2];
rx(0.4915) q[3];
rz(0.2082) q[3];
rx(0.501) q[4];
rz(0.1817) q[4];
rx(-0.0216) q[5];
rz(0.272) q[5];
rx(0.5018) q[6];
rz(-0.0764) q[6];
rx(0.398) 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": []} |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [74, 11], "expectation_value": -11.653586946764156, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 45, "probabilities": [0.11460216893613875, 0.7884167124824446], "optimization_time": 44.76257658004761} | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 1 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[5];
cry(-1.5708) q[5], q[1];
cry(-1.5708) q[6], q[0];
ry(0.9895) q[6];
cry(-0.0065) q[5], q[0];
ry(-0.0013) q[0];
cry(1.5704) q[5], q[3];
cry(-0.0003) q[3], q[0];
cry(-0.455) q[2], q[0];
cry(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
520b4019fb4986d4ab684733a5ebe8d8 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [412, 220], "expectation_value": -38.44904712405621, "params": null, "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 100, "probabilities": [0.11044993350846113, 0.31278172216876643], "optimization_time": 165.1387300491333} | 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 | 1 | {"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];
ry(62.9199) q[2];
ry(62.909) q[4];
ry(37.6583) q[5];
ry(7.5113) q[6];
cry(62.9229) q[6], q[2];
cry(-5.717) q[6], q[4];
ry(18.1362) q[1];
cry(-0.8306) q[6], q[5];
cry(-3.0785) q[6], q[1];
c... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(62.9199) 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] = ... |
8446431012283473570 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 4, 5, 6, 7], [1, 2, 3, 6], [1, 2, 6, 7], [1, 2, 4, 6]]} | {"states": [63, 187], "expectation_value": -0.4317412925517164, "params": [[0.3685], [-0.3563]], "bitstrings": ["11000000", "01000100"], "total_optimization_steps": 40, "probabilities": [0.0062764398357385435, 0.006276439835738546], "optimization_time": 1.9892303943634033} | 0.023809523809523808 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809523808 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.02380952... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.9404761904761905, -0.9404761904761905], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.9404761904761904, "smallest_bitstrings": ["10100100", "01000100"]} | 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(0.0175) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.079) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0175) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.079) q[4];
cx q[1], q[4];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[... | null | {"circuits": [], "gradients": []} |
3ac54a966ac53ee2e7adea8d673692bd | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [2047, 63], "expectation_value": -2.504006767522337, "params": [[0.0582], [-0.0489]], "bitstrings": ["00000000000", "11111000000"], "total_optimization_steps": 10, "probabilities": [0.0009098011391383404, 0.0009482065189257197], "optimization_time": 1.8645451068878174} | 1.5 * (Z(3) @ Z(4)) + -3.0 * (Z(0) @ Z(4)) + -3.0 * (Z(0) @ Z(3)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(3)) + -2.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-38.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.5, "smallest_bitstrings": ["11111000000"]} | 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[4], q[3];
rz(0.1746) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(-0.3492) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(-0.3492) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(-0.3492)... | 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[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[4], q[3];
rz(x0) q[3];
c... | {"node": 0} | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.24399755119118366, "params": [[-0.0458, -0.0264], [0.0668, 0.039400000000000004]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00959934096217542, 0.009812667399182087], "optimization_time": 2.666290044784546} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "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];
cx q[1], q[0];
rz(0.0458) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0916) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0687) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0458) q[3];
cx q[2], q[3];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
7227055949868351043 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5, 6], [0, 1, 2, 4], [1, 3]]} | {"states": [37, 53], "expectation_value": -0.9248946477786681, "params": null, "bitstrings": ["1011010", "1001010"], "total_optimization_steps": 46, "probabilities": [0.17205855812916923, 0.19921643230881833], "optimization_time": 44.47093915939331} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["1001001", "1001010", "0100010", "0100001", "0011001", "00011... | 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(1.1408) q[4];
cry(-1.0342) q[1], q[3];
ry(0.7922) q[1];
ry(-0.5311) q[3];
cry(0.4829) q[4], q[1];
cry(-0.3456) q[4], q[3];
cry(-0.3712) q[6], q[5];
cry(0.2734) q[1], q[4];
cry(-0.3091) q[5], q[6];
cry(... | 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(1.1408) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
a496643cb2e08d855373b91d187c0135 | 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": 6, "source": 0, "t... | {"states": [94, 93], "expectation_value": -11.841402312679701, "params": [[0.031200000000000002, 0.027800000000000002, -0.0077, 0.022000000000000002], [-0.036000000000000004, -0.0354, -0.025400000000000002, -0.028300000000000002]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities":... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 3.0 * Z(0) + 6.0 * Z(1) + 1.5 * Z(2) + 10.0 * Z(4) + 10.5 * Z(3) + 10.5 * Z(5) + 8.0 * Z(6) + 12.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-54.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.5, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[0], q[1];
rz(0.2808) q[1];
cx q[0], q[1];
cx q[2], q[4];
rz(0.2808) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.2808) q[3];
cx q[2], q[3];
cx q[4], q[3];
rz(0.2808) q[3];
cx q[4], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-6867976885046668713 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [2, 4], [1, 7], [4, 6], [5, 7], [0, 7], [3, 5]]} | {"states": [397, 461], "expectation_value": -1.1322971607184955, "params": [1.0941, -0.2006, 1.0446, 0.003, 1.1007, -0.19920000000000002, 1.0495, 0.0092, 1.1006, 0.0931, 1.0689, 0.0061, 0.8913000000000001, -0.4239, 0.5493, 0.0035, 1.0571000000000002, 0.4295, 0.7674000000000001, 0.0029000000000000002, 1.1001, -0.1839, 1... | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(3) | 5 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["000110010", "001100110", "111001101", "110011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0941) q[0];
rz(-0.2006) q[0];
rx(1.1007) q[1];
rz(-0.1992) q[1];
rx(1.1006) q[2];
rz(0.0931) q[2];
rx(0.8913) q[3];
rz(-0.4239) q[3];
rx(1.0571) q[4];
rz(0.4295) q[4];
rx(1.1001) q[5];
rz(-0.1839) q[5];
rx(1.1031) q[6];
rz(0.1006) q[6];
rx(0.7164) 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": []} |
4d70328aecc8c1ea3157fc10838636c1 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 7], "expectation_value": -5.383087760606567, "params": [[[0.3, 0.18860000000000002], [0.2672, -0.23170000000000002], [0.3245, -0.1623], [0.2664, -0.23120000000000002], [0.6138, -0.0004], [0.6116, 0.0011], [0.6189, -0.0011]], [[0.3015, 0.1885], [0.26930000000000004, -0.2316], [0.3196, -0.1622], [0.2689000... | 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)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 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(0.3) q[0];
rz(0.1886) q[0];
rx(0.2672) q[1];
rz(-0.2317) q[1];
rx(0.3245) q[2];
rz(-0.1623) q[2];
rx(0.2664) q[3];
rz(-0.2312) q[3];
rx(0.6138) q[4];
rz(-0.0004) q[4];
rx(0.6116) q[5];
rz(0.0011) q[5];
rx(0.6189) q[6];
rz(-0.0011) q[6];
rx(0.3015) q[0];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | kclique | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [52, 7], "expectation_value": -3.41930102600093, "params": [[-0.07680000000000001, -0.0609], [0.08, 0.0671]], "bitstrings": ["001011", "111000"], "total_optimization_steps": 10, "probabilities": [0.029927725217198612, 0.030304839176372934], "optimization_time": 3.5944042205810547} | 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)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | 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(-0.2688) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2688) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2688) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2688) q[3];
cx q[1], q[3];
cx q[0], 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] 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": 3} | {"circuits": [], "gradients": []} |
9eb990d2817d4507a1e9a1f31f8f79ce | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [68, 56], "expectation_value": -0.20855097004901274, "params": [[-0.038400000000000004], [0.049]], "bitstrings": ["0111011", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008262777716033811, 0.00838264455747891], "optimization_time": 1.7378320693969727} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000111"]} | 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(-0.0384) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0384) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0384) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(-0.0384) q[5];
cx q[2], q[5];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
ecdfa6719727c874685bdf2e4be77fdf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "targ... | {"states": [221, 218], "expectation_value": -7.779885232079197, "params": [[-0.0509], [0.057600000000000005]], "bitstrings": ["100100010", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0035910015511744905, 0.004052069753777237], "optimization_time": 2.033595561981201} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 4.0 * Z(0) + 10.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-72.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "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[1], q[0];
rz(-0.4581) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4581) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.4581) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(-0.4581) 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;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27871, 27869], "expectation_value": -6.970759900987185, "params": [[[1.0604, -0.00030000000000000003], [1.0646, 0.0005], [0.5347000000000001, -0.2848], [0.9863000000000001, 0.0002], [0.9912000000000001, -0.0007], [0.5047, 0.27080000000000004], [0.5248, 0.24070000000000003], [0.5371, -0.21710000000000002], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 3 | {"smallest_eigenvalues": [-9.499999999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999957, "smallest_bitstrings": ["001001100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.0604) q[0];
rz(-0.0003) q[0];
rx(1.0646) q[1];
rz(0.0005) q[1];
rx(0.5347) q[2];
rz(-0.2848) q[2];
rx(0.9863) q[3];
rz(0.0002) q[3];
rx(0.9912) q[4];
rz(-0.0007) q[4];
rx(0.5047) q[5];
rz(0.2708) q[5];
rx(0.5248) q[6];
rz(0.2407) q[6];
rx(0.5371) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
2af31481880262de1e494298467816a7 | 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": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [132, 133], "expectation_value": -6.052002488895036, "params": [-0.0033, 0.006, 1.6968, 0.0091, -0.0018000000000000002, 0.007, 1.4049, 0.0018000000000000002, -0.001, 0.006900000000000001, -0.0021000000000000003, 0.0049, 1.7091, 0.0021000000000000003, 0.33390000000000003, 0.0011, 1.5795000000000001, 0.0028, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["110101101", "111010101", "011101011", "101111010", "111011010", "001111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0033) q[0];
rz(0.006) q[0];
rx(1.6968) q[1];
rz(0.0091) q[1];
rx(-0.0018) q[2];
rz(0.007) q[2];
rx(1.4049) q[3];
rz(0.0018) q[3];
rx(-0.001) q[4];
rz(0.0069) q[4];
rx(-0.0021) q[5];
rz(0.0049) q[5];
rx(1.7091) q[6];
rz(0.0021) q[6];
rx(0.3339) 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": []} |
c357ceba8af25a69cad8c2f5a7e74a4d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [44, 108], "expectation_value": -5.4382427735174454, "params": [0.0015, 0.5645, 0.8868, 0.2795, 0.907, -0.0032, -0.003, 0.5053, 0.899, 0.040400000000000005, 0.9034000000000001, -0.0024000000000000002, 0.0034000000000000002, -0.4582, 0.0008, 0.467, 0.0023, 0.006, 0.8596, 0.0013000000000000002, 0.9066000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(1) ... | 3 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0015) q[0];
rz(0.5645) q[0];
rx(0.8868) q[1];
rz(0.2795) q[1];
rx(0.907) q[2];
rz(-0.0032) q[2];
rx(-0.003) q[3];
rz(0.5053) q[3];
rx(0.899) q[4];
rz(0.0404) q[4];
rx(0.9034) q[5];
rz(-0.0024) q[5];
rx(0.0034) q[6];
rz(-0.4582) q[6];
rx(0.0008) 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": []} |
9a399969b4fe457a86e13127eddc2921 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [116, 120], "expectation_value": -4.793773297992786, "params": [-0.0001, -0.1918, 0.40790000000000004, -0.0002, 0.4002, -0.0002, 0.40280000000000005, 0.0001, 0.39640000000000003, 0.0013000000000000002, 0.40030000000000004, -0.0007, 0.042800000000000005, -0.1761, -0.0032, -0.1875, 0.0, -0.19210000000000002, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) + -1.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(5) + ... | 4 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["10000111", "10001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0001) q[0];
rz(-0.1918) q[0];
rx(0.4079) q[1];
rz(-0.0002) q[1];
rx(0.4002) q[2];
rz(-0.0002) q[2];
rx(0.4028) q[3];
rz(0.0001) q[3];
rx(0.3964) q[4];
rz(0.0013) q[4];
rx(0.4003) q[5];
rz(-0.0007) q[5];
rx(0.0428) q[6];
rz(-0.1761) q[6];
rx(-0.0032) 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": []} |
a91613587e2e3ed31c854337981da9dd | 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": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [0, 1], "expectation_value": -8.055535200502927, "params": [-0.0026000000000000003, 0.228, 0.0028, 0.3178, 0.002, 0.3124, 0.006, 0.1847, 0.0034000000000000002, 0.2832, 0.3104, 0.09860000000000001, 0.0033, 0.30870000000000003, 0.4033, 0.0073, 0.0025, 0.1698, 0.0008, 0.31930000000000003, 0.0051, 0.3125, 0.0009... | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 3 | 8 | 4 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0026) q[0];
rz(0.228) q[0];
rx(0.0028) q[1];
rz(0.3178) q[1];
rx(0.002) q[2];
rz(0.3124) q[2];
rx(0.006) q[3];
rz(0.1847) q[3];
rx(0.0034) q[4];
rz(0.2832) q[4];
rx(0.3104) q[5];
rz(0.0986) q[5];
rx(0.0033) q[6];
rz(0.3087) q[6];
rx(0.4033) 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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
df347d6d329a0fb535f13ae843b61cd8 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 7}, {"source": ... | {"states": [510, 1023], "expectation_value": -18.498393402174074, "params": [[[-1.5091, 1.5843], [0.0024000000000000002, 1.5376], [0.0021000000000000003, 0.0022], [0.0019, -0.0051], [0.0022, 0.0019], [0.0019, 0.0019], [0.0022, 0.0023], [0.0021000000000000003, 0.0022], [0.0201, 0.0021000000000000003], [-0.0027, 0.0032]]... | -1.5 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(3)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 15 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.5091) q[0];
ry(0.0024) q[1];
ry(0.0021) q[2];
ry(0.0019) q[3];
ry(0.0022) q[4];
ry(0.0019) q[5];
ry(0.0022) q[6];
ry(0.0021) q[7];
ry(0.0201) q[8];
ry(-0.0027) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
ry(x0) q[0];
ry(... | {"node": 1} | {"circuits": [], "gradients": []} |
f4866d34fc4832d3ba3211e9f23410a9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [222, 220], "expectation_value": -37.13451749187521, "params": null, "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 100, "probabilities": [0.06502132219866995, 0.2825267486863512], "optimization_time": 161.0913016796112} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + 11.0 * Z(1) + 0.5 * Z(0) + 9.5 * Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(100.1787) q[4];
ry(22.3006) q[5];
ry(-21.7744) q[3];
ry(1.4166) q[6];
cry(-14.0658) q[6], q[4];
cry(9.1544) q[6], q[5];
ry(-10.768) q[1];
cry(1.8673) q[1], q[5];
ry(18.737) q[2];
cry(4.... | null | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(100.1787) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] =... |
-3967254658723438867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[5, 6], [2, 5], [9, 6], [4, 7], [8, 5], [0, 9], [1, 9], [3, 7]]} | {"states": [911, 910], "expectation_value": -0.49570168315184543, "params": [0.9115000000000001, 0.8779, 0.9127000000000001, 0.9457000000000001, 0.9400000000000001, 0.9552, 0.5388000000000001, 0.5361, 0.5695, 0.5711, 0.5518000000000001, 0.5485, 0.9897, 0.9616, 0.9004000000000001, 0.8202, 0.9456, 0.9726, 0.6442, 0.6087,... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(9) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0000010101", "1110001110", "1111101010", "0001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9115) q[0];
ry(0.9127) q[1];
ry(0.94) q[2];
ry(0.5388) q[3];
ry(0.5695) q[4];
ry(0.5518) q[5];
ry(0.9897) q[6];
ry(0.9004) q[7];
ry(0.9456) q[8];
ry(0.6442) q[9];
crx(-0.5076) q[9], q[0];
crx(0.7602) q[8], q[9];
crx(0.7902) q[7], q[8];
crx(0.9855) 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": []} |
0fcc1a24f94fd2a8b4a107178db6be3d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [174, 718], "expectation_value": -1.4808485217535825, "params": [[[0.4086, -0.1231, 0.0066, 0.0091], [0.1968, -0.037200000000000004, 0.4829, 0.1454], [0.3043, 0.22760000000000002, 0.059800000000000006, -0.171], [0.18030000000000002, -0.27940000000000004, 0.48800000000000004, 0.09040000000000001], [0.2441, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110001", "0100101100", "0101110000", "0110001100", "0110000101", "1100100100", "0110010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.4086) q[0];
rz(-0.1231) q[0];
ry(0.1968) q[1];
rz(-0.0372) q[1];
ry(0.3043) q[2];
rz(0.2276) q[2];
ry(0.1803) q[3];
rz(-0.2794) q[3];
ry(0.2441) q[4];
rz(0.101) q[4];
ry(-0.0628) q[5];
rz(-0.3328) q[5];
ry(0.3192) q[6];
rz(0.389) q[6];
ry(-0.1151) 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": []} |
df62b430c122c4297c9377287854fb07 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [5, 13], "expectation_value": -1.5888911790646616, "params": [[[-0.0012000000000000001, 0.6113000000000001], [0.8997, 0.6576000000000001], [1.5752000000000002, 0.0032], [0.0032, 2.1934], [0.9017000000000001, 0.0029000000000000002]], [[-0.0012000000000000001, 0.002], [0.8997, 0.0082], [1.5736, 0.0084000000000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10010", "10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0012) q[0];
rz(0.6113) q[0];
rx(0.8997) q[1];
rz(0.6576) q[1];
rx(1.5752) q[2];
rz(0.0032) q[2];
rx(0.0032) q[3];
rz(2.1934) q[3];
rx(0.9017) q[4];
rz(0.0029) q[4];
rx(-0.0012) q[0];
rz(0.002) q[0];
rx(0.8997) q[1];
rz(0.0082) q[1];
rx(1.5736) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [32, 49], "expectation_value": -4.999971821732332, "params": null, "bitstrings": ["011111", "001110"], "total_optimization_steps": 26, "probabilities": [1.3834854838931248e-05, 0.9999858813341915], "optimization_time": 20.03951382637024} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
ry(-1.5681) q[3];
ry(1.4449) q[5];
ry(1.4449) q[1];
ry(1.4449) q[0];
cry(0.1187) q[1], q[5];
cry(0.1188) q[5], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[5], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
96aa688a41503b0eea4bda42198f6281 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [330, 346], "expectation_value": -1.9773403829564729, "params": [[[1.6132, 0.00030000000000000003], [0.9861000000000001, 0.001], [1.6105, 0.0099], [0.002, 0.007500000000000001], [1.5994000000000002, 0.0033], [1.6102, 0.0071], [0.0029000000000000002, 0.0045000000000000005], [1.6042, 0.0014], [1.2762, 0.006800... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.125 * (Z(8) @ Z(2)) + 0.12... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.625, "smallest_bitstrings": ["010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6132) q[0];
rz(0.0003) q[0];
rx(0.9861) q[1];
rz(0.001) q[1];
rx(1.6105) q[2];
rz(0.0099) q[2];
rx(0.002) q[3];
rz(0.0075) q[3];
rx(1.5994) q[4];
rz(0.0033) q[4];
rx(1.6102) q[5];
rz(0.0071) q[5];
rx(0.0029) q[6];
rz(0.0045) q[6];
rx(1.6042) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
-1454360339941273515 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 9], [2, 3, 4, 5, 8, 11], [0, 2, 4, 5, 6, 9], [1, 2, 7, 9, 10], [0, 2, 5, 9, 11], [1, 2, 3, 5, 6, 7, 8, 10], [0, 1, 2, 3, 6, 7, 8]]} | {"states": [3549, 1501], "expectation_value": -1.2139558935573498, "params": [[[1.5198, 0.0063, 0.0067, 0.01], [-0.0049, 0.0018000000000000002, 1.5705, 0.0021000000000000003], [-0.0032, 0.0036000000000000003, 0.0018000000000000002, 0.0082], [0.7401, 0.0028, 1.1967, 0.0026000000000000003], [2.4011, 0.003, 0.0027, 0.0069... | 0.5 * (Z(10) @ Z(11)) + 0.13333333333333336 * (Z(4) @ Z(11)) + 0.075 * (Z(4) @ Z(10)) + 0.075 * (Z(5) @ Z(10)) + 0.075 * (Z(5) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(11)) + 0.03333333333333333 * (Z(6) @ Z(10)) + 0.06666666666666667 * (Z(6) @ Z(4)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(7) @... | 12 | 12 | 1 | {"smallest_eigenvalues": [-1.6690476190476198], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.669047619047619, "smallest_bitstrings": ["101000100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5198) q[0];
rz(0.0063) q[0];
ry(-0.0049) q[1];
rz(0.0018) q[1];
ry(-0.0032) q[2];
rz(0.0036) q[2];
ry(0.7401) q[3];
rz(0.0028) q[3];
ry(2.4011) q[4];
rz(0.003) q[4];
ry(-0.0014) q[5];
rz(0.0095) q[5];
ry(0.0033) q[6];
rz(0.006) q[6];
ry(1.0417) 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": []} |
6e104488336dc4e2d5aa766674769faa | 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": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [601, 605], "expectation_value": -1.627265786194441, "params": [0.5031, 0.20370000000000002, 0.2832, 0.2257, -0.0044, 0.3357, 0.5002, 0.228, 0.2805, 0.23170000000000002, 0.502, -0.0008, 0.5026, -0.038, 0.43620000000000003, 0.2748, 0.36010000000000003, 0.23140000000000002, 0.5087, -0.0361, 0.4958, 0.256200000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 18 | 10 | 4 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8125, "smallest_bitstrings": ["0110100010", "0110100100", "0111000010", "1010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.5031) q[0];
rz(0.2037) q[0];
rx(0.2832) q[1];
rz(0.2257) q[1];
rx(-0.0044) q[2];
rz(0.3357) q[2];
rx(0.5002) q[3];
rz(0.228) q[3];
rx(0.2805) q[4];
rz(0.2317) q[4];
rx(0.502) q[5];
rz(-0.0008) q[5];
rx(0.5026) q[6];
rz(-0.038) q[6];
rx(0.4362) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27995, 27885], "expectation_value": -5.4879609803739, "params": [[0.3971], [-0.4273]], "bitstrings": ["001001010100100", "001001100010010"], "total_optimization_steps": 90, "probabilities": [0.0010658444615961932, 0.0010658444615961934], "optimization_time": 18.48130202293396} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999947, "smallest_bitstrings": ["001001100010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(0.3971) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3971) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3971) q[2];
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;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(x0) q[0];
cx q[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.311953570089713, "params": [0.0043, 0.1408, -0.0009000000000000001, 0.1487, 0.0002, 0.12860000000000002, 0.0022, 0.1429, 0.0025, 0.15940000000000001, 0.0009000000000000001, 0.1544, 0.0036000000000000003, 0.1635, 0.008, 0.15410000000000001, 0.0066, 0.0728, 0.0025, 0.114, 0.0015... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0043) q[0];
rz(0.1408) q[0];
rx(0.0002) q[1];
rz(0.1286) q[1];
rx(0.0025) q[2];
rz(0.1594) q[2];
rx(0.0036) q[3];
rz(0.1635) q[3];
rx(0.0066) q[4];
rz(0.0728) q[4];
rx(0.0015) q[5];
rz(0.116) q[5];
rx(0.002) q[6];
rz(0.1668) q[6];
rx(0.0004) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [4, 1], "expectation_value": -7.810622700098808, "params": [[-0.0056, -0.0049, -0.0456], [0.0109, 0.012100000000000001, 0.058800000000000005]], "bitstrings": ["111011", "111110"], "total_optimization_steps": 10, "probabilities": [0.022076301783312557, 0.022801661489961947], "optimization_time": 6.43970417976... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 11 | 6 | 3 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | 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(-0.0308) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0308) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0308) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0308) q[3];
cx q[1], q[3];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 5} | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [24, 26], "expectation_value": -3.5167650141364017, "params": [[[0.0019, 0.004], [3.0013, 0.0016], [2.9989000000000003, 0.0015], [-0.0017000000000000001, 0.007], [1.6244, 0.0043], [0.0019, 0.004]]], "bitstrings": ["100111", "100101"], "total_optimization_steps": 300, "probabilities": [0.46850949347226734, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0019) q[0];
rz(0.004) q[0];
rx(3.0013) q[1];
rz(0.0016) q[1];
rx(2.9989) q[2];
rz(0.0015) q[2];
rx(-0.0017) q[3];
rz(0.007) q[3];
rx(1.6244) q[4];
rz(0.0043) q[4];
rx(0.0019) q[5];
rz(0.004) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure 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;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
3012e1b6018e3f767ff12c1a3a3c35a1 | 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": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [50, 35], "expectation_value": -4.496515537769795, "params": null, "bitstrings": ["1001101", "1011100"], "total_optimization_steps": 28, "probabilities": [0.06700898087128362, 0.9297460398074041], "optimization_time": 29.12088418006897} | 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(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100", "1001101", "1100011", "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[4];
ry(-1.4449) q[0];
ry(1.4449) q[5];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[2];
ry(0.7022) q[6];
ry(-0.4578) q[2];
cry(0.497) q[5], q[6];
cry(-0.3761) q[5], q[2];
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[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", ... |
8176293583578672830 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 6], [0, 5], [1, 4], [0, 2], [5, 6], [5, 7], [4, 7], [0, 4], [1, 3], [3, 7], [2, 7], [4, 5], [4, 6], [6, 7]]} | {"states": [186, 62], "expectation_value": -3.5521586398514935, "params": null, "bitstrings": ["01000101", "11000001"], "total_optimization_steps": 61, "probabilities": [0.05572701621438785, 0.8045322038879185], "optimization_time": 93.59177827835083} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.0 * Z(6) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111010", "00111100", "11000011", "11000001", "00111110", "11000101"]} | 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[6], q[7];
cry(-1.0342) q[5], q[0];
ry(1.0293) q[6];
cry(1.4052) q[6], q[2];
cry(-0.9035) q[2], q[7];
cry(-0.7688) q[6], q[0];
ry(1.2774) q[5];
cry(1.3824) q[6], q[3];
cry(-1.4132) 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[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
9036886079200607902 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4, 5], [0, 1, 2, 3, 5]]} | {"states": [30, 43], "expectation_value": -0.1369617022489351, "params": [[-0.3521], [0.3617]], "bitstrings": ["100001", "010100"], "total_optimization_steps": 40, "probabilities": [0.01977452906267066, 0.01977452906267066], "optimization_time": 1.227248191833496} | 0.13333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.05 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(1) @ Z(3)) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-0.45000000000000007, -0.45000000000000007], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.44999999999999996, "smallest_bitstrings": ["100100", "010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(-0.0939) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.0587) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0587) q[4];
cx q[2], q[4];
cx q[3], q[5];
rz(-0.0939) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x1) q[4];
c... | null | {"circuits": [], "gradients": []} |
407432492003673797 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 3], [1, 3, 4], [0, 1, 4], [2, 4]]} | {"states": [28, 19], "expectation_value": -0.008117282275906867, "params": [[-0.028900000000000002], [0.041]], "bitstrings": ["00011", "01100"], "total_optimization_steps": 10, "probabilities": [0.03164399441418288, 0.03169363878658417], "optimization_time": 0.6537339687347412} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666663 * Z(3) + 0.0 * Z(2) + 0.3333333333333333 * Z(1) + 0.333333333333333... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3333333333333335, "smallest_bitstrings": ["01100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[2];
rz(-0.0289) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(-0.0096) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0096) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.0289) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.0193) 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[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[1];
rz(x1) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x1) q[4];
cx q[3... | null | {"circuits": [], "gradients": []} |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [5, 3], "expectation_value": -8.494853212473, "params": [[-0.0522, -0.030500000000000003, -0.029900000000000003, 0.0671], [0.0712, 0.059300000000000005, 0.0666, 0.0055000000000000005]], "bitstrings": ["111010", "111100"], "total_optimization_steps": 10, "probabilities": [0.03884820274592722, 0.03982691933832... | 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)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (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)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2349) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2349) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2349) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2349) q[3];
cx q[1], q[3];
cx q[0], 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
ce412ec359df7cf1ad46bc0c2b9d3cdf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [2122, 2123], "expectation_value": -137.21724361725268, "params": [[0.7895000000000001, -0.007500000000000001, 0.0053, -0.0055000000000000005, -0.06280000000000001, 0.6345000000000001, 0.0024000000000000002, -0.0038, 0.643, -0.019, 0.7225, -0.17200000000000001], [0.7895000000000001, -0.0021000000000000003, -... | 8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(4) @ Z(5)) + 8.5 * (Z(7) @ Z(5)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(8) @ Z(9)) + 8.5 * (Z(2) @ Z(8)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(10) @ Z(8)) + 8.5 * (Z(3) @ Z(11)) + 0.5 * Z(1) + 10.0 * Z(0) + 8.0 * Z(5) + -4.0 * Z(4) + -6.5 * Z(7) + 12.5 * Z(9) + 14.5 * Z(8) + ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-147.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -130.0, "smallest_bitstrings": ["011110110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7895) q[0];
ry(-0.0075) q[1];
ry(0.0053) q[2];
ry(-0.0055) q[3];
ry(-0.0628) q[4];
ry(0.6345) q[5];
ry(0.0024) q[6];
ry(-0.0038) q[7];
ry(0.643) q[8];
ry(-0.019) q[9];
ry(0.7225) q[10];
ry(-0.172) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
d32bae70887cbda0fd64e6ae105154d4 | 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": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -33.9789223723798, "params": [[0.0206, -0.0009000000000000001, -0.0023, -0.0099], [-0.0847, -0.0746, -0.053200000000000004, -0.028300000000000002]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0063904463312770415, 0.0080750471... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1854) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1854) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.1854) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(0.1854) 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
369573ac9490fc7ab9a36c7a904e7496 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [0, 127], "expectation_value": -15.599172429555974, "params": [[[0.0025, 1.6106], [0.0026000000000000003, 0.0025], [-0.0025, 0.002], [0.0026000000000000003, -0.0026000000000000003], [0.0021000000000000003, 0.0026000000000000003], [0.0021000000000000003, 0.0017000000000000001], [-0.0024000000000000002, -1.086... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 ... | 15 | 7 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0025) q[0];
ry(0.0026) q[1];
ry(-0.0025) q[2];
ry(0.0026) q[3];
ry(0.0021) q[4];
ry(0.0021) q[5];
ry(-0.0024) 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(1.6106) q[0];
ry(0.0025) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x3) q... | {"node": 6} | {"circuits": [], "gradients": []} |
229f9e6a44e25021bf9944e20b56f26b | 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": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 8}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [936, 940], "expectation_value": -2.487332464654077, "params": [0.8106, 0.0032, 0.8022, 0.004, 0.8106, -0.0038, 0.8121, 0.0066, 0.8026000000000001, -0.0086, 0.8022, 0.0044, 0.29550000000000004, -0.2584, 0.2924, 0.0002, 0.8042, -0.0038, 0.8046000000000001, 0.0097, 0.7142000000000001, -0.0591, 0.7137, 0.0098, ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(8) + 0.0 * Z(1) + -1.0 * Z(9) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + -0.5 * Z(5) + ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001010011", "0011010010", "0001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8106) q[0];
rz(0.0032) q[0];
rx(0.8106) q[1];
rz(-0.0038) q[1];
rx(0.8026) q[2];
rz(-0.0086) q[2];
rx(0.2955) q[3];
rz(-0.2584) q[3];
rx(0.8042) q[4];
rz(-0.0038) q[4];
rx(0.7142) q[5];
rz(-0.0591) q[5];
rx(0.8009) q[6];
rz(0.0033) q[6];
rx(0.798) 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": []} |
d25f70863e3ba8ac9ae1ac12d423fac9 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 8}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [332, 348], "expectation_value": -5.257584496487924, "params": [[[1.4778, 0.0002], [1.7052, 0.0076], [-0.0026000000000000003, 0.0045000000000000005], [1.7040000000000002, 0.0005], [0.2333, 0.0001], [1.6516000000000002, 0.009000000000000001], [1.7126000000000001, 0.0018000000000000002], [1.7052, 0.00240000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["0110110001", "1010100011", "0010110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4778) q[0];
rz(0.0002) q[0];
rx(1.7052) q[1];
rz(0.0076) q[1];
rx(-0.0026) q[2];
rz(0.0045) q[2];
rx(1.704) q[3];
rz(0.0005) q[3];
rx(0.2333) q[4];
rz(0.0001) q[4];
rx(1.6516) q[5];
rz(0.009) q[5];
rx(1.7126) q[6];
rz(0.0018) q[6];
rx(1.7052) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
97e359edb03931ec167922719eaf9db2 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.007078751540901901, "params": [[-0.040600000000000004], [0.0438]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.570135364471764e-05, 1.5701353644717647e-05], "optimization_time": 13.041869640350342} | 0.25 * (Z(0) @ Z(1)) + -0.00075 * (Z(2) @ Z(0)) + -0.00075 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0008749999999999999 * (Z(6) @ Z(0)) + -0.00050000000000000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0232499999999742], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.023249999999951, "smallest_bitstrings": ["0101010110101010"]} | 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(-0.0203) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
5bc78a9816f2c03845e7828d57699688 | 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": 8}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [178, 434], "expectation_value": -3.4896964610403374, "params": [1.6045, 0.0094, 1.614, 0.002, -0.0024000000000000002, 0.0011, 1.6098000000000001, 0.0083, 1.6102, 0.004200000000000001, 0.528, 0.0039000000000000003, 0.3634, 0.0088, 1.6132, 0.0005, -0.0011, 0.0011, 0.0019, 0.0035, 0.0051, 0.0063, 0.0073, 0.008... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(8) + -0.5 * Z(5) + 0.0 * Z(1) + -0.5 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6045) q[0];
rz(0.0094) q[0];
rx(1.614) q[1];
rz(0.002) q[1];
rx(-0.0024) q[2];
rz(0.0011) q[2];
rx(1.6098) q[3];
rz(0.0083) q[3];
rx(1.6102) q[4];
rz(0.0042) q[4];
rx(0.528) q[5];
rz(0.0039) q[5];
rx(0.3634) q[6];
rz(0.0088) q[6];
rx(1.6132) 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": []} |
5a8eac0760a558d4174437be478ec0aa | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [4, 8], "expectation_value": -0.20044305640957003, "params": [[-0.0181, -0.058, -0.0748], [-0.024, 0.0492, 0.065]], "bitstrings": ["1011", "0111"], "total_optimization_steps": 10, "probabilities": [0.07253031733279623, 0.07253031733279625], "optimization_time": 1.5510892868041992} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["1011", "0111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0181) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0181) q[0];
cx q[2], q[0];
cx q[1], q[3];
rz(-0.0181) q[3];
cx q[1], q[3];
rz(0.0181) q[0];
rz(0.0181) q[1];
rz(0.0362) q[2];
rz(0.0362) q[3];
h q[0];
rz(-0.04... | OPENQASM 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[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
1ae843d4c44e78f51f3685f30f13e727 | 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": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 2}, {"capac... | {"states": [511, 1], "expectation_value": -0.272289488506518, "params": [[-0.031400000000000004], [0.025400000000000002]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011070411825753555, 0.001110706710114089], "optimization_time": 10.492979288101196} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(7)) + -2.75 * (Z(2) @ Z(1)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -2.5 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(8)) + -1.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[4], q[0];
rz(0.0157) q[0];
cx q[4], q[0];
cx q[4], q[7];
rz(0.0471) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(0.0628) q[7];
cx q[0], q[7];
cx q[7], q[1];
rz(0.0942) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d33bc1e38a91534ccb33169ef0b03611 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, ... | {"states": [42, 45], "expectation_value": -0.24877512843515467, "params": [[-0.0776], [0.0741]], "bitstrings": ["1010101", "1010010"], "total_optimization_steps": 10, "probabilities": [0.008839680322711919, 0.009207840943863775], "optimization_time": 1.3078062534332275} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(6) + -1.0 * Z(5) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["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];
cx q[1], q[0];
rz(-0.0776) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0776) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0776) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.0776) q[3];
cx q[2], q[3];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | null | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.26839780568773364, "params": [[-0.0779], [0.0782]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.01797312284056586, 0.018361526924847976], "optimization_time": 1.2415764331817627} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"]} | 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(-0.0779) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0779) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0779) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0779) q[4];
cx q[0], q[4];
cx q[3], 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[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
fec8882ab40352f3ab53fa306e4fb958 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [646, 678], "expectation_value": -47.32560432045679, "params": [[[0.5983, 0.3516], [0.0094, 0.2451], [0.6022000000000001, 0.5989], [0.0222, 0.5859], [0.6042000000000001, 0.38380000000000003], [0.1882, 0.5863], [-0.503, 0.3622], [-0.031200000000000002, 0.6032000000000001], [0.47040000000000004, 0.5969], [0.39... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 4.0 * Z(1) + 15.5 * Z(2) + 16.0 * Z(0) + 7.0 * Z(4) + 4.5 * Z(5) + 11.0 * Z(9) + 6.0 * Z(7) + 15.5 *... | 15 | 10 | 3 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["0101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5983) q[0];
ry(0.0094) q[1];
ry(0.6022) q[2];
ry(0.0222) q[3];
ry(0.6042) q[4];
ry(0.1882) q[5];
ry(-0.503) q[6];
ry(-0.0312) q[7];
ry(0.4704) q[8];
ry(0.392) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
a8af5a844c6b7264f669c1b8b9005a26 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [123, 127], "expectation_value": -9.535691942848088, "params": null, "bitstrings": ["110000100", "110000000"], "total_optimization_steps": 58, "probabilities": [0.39358510964877785, 0.39358510964877785], "optimization_time": 62.005316495895386} | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"]} | 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(-1.57) q[1];
ry(1.5708) q[7];
cry(1.5706) q[8], q[2];
cry(1.5681) q[7], q[5];
cry(1.5486) q[5], q[3];
cry(1.4449) q[5], q[4];
cry(-1.0342) q[2], q[0];
ry(0.3867) q[8];
ry(0.2115) q[2];
... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) 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] = me... |
109dd65f843c7effe1b685156edca6d7 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [5, 7], "expectation_value": -11.899445351905294, "params": [[[0.7901, 0.004], [0.9477000000000001, 0.0058000000000000005], [0.8036000000000001, 0.006900000000000001], [0.9435, 0.005], [0.9497000000000001, 0.0064], [1.5994000000000002, 0.0061], [1.5889, 0.003], [1.6009, 0.0029000000000000002]]], "bitstrings"... | 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)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7901) q[0];
rz(0.004) q[0];
rx(0.9477) q[1];
rz(0.0058) q[1];
rx(0.8036) q[2];
rz(0.0069) q[2];
rx(0.9435) q[3];
rz(0.005) q[3];
rx(0.9497) q[4];
rz(0.0064) q[4];
rx(1.5994) q[5];
rz(0.0061) q[5];
rx(1.5889) q[6];
rz(0.003) q[6];
rx(1.6009) q[7];
rz(0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 5} | {"circuits": [], "gradients": []} |
1c9f0aa80e0354120d0d9a354ab113f1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [255, 254], "expectation_value": -32.17869797584132, "params": [[[-0.532, 2.8861000000000003], [0.0025, 0.24780000000000002], [-0.0028, 0.0026000000000000003], [0.0021000000000000003, 0.0023], [0.002, 0.002], [0.0022, 0.002], [-1.6152, 0.0026000000000000003], [-0.003, 0.0026000000000000003]]], "bitstrings": ... | -3.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -3.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 1.5... | 15 | 8 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.532) q[0];
ry(0.0025) q[1];
ry(-0.0028) q[2];
ry(0.0021) q[3];
ry(0.002) q[4];
ry(0.0022) q[5];
ry(-1.6152) q[6];
ry(-0.003) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 7} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 42], "expectation_value": -0.25566869692689376, "params": [[-0.058100000000000006, -0.041600000000000005], [0.06470000000000001, 0.059000000000000004]], "bitstrings": ["001101", "010101"], "total_optimization_steps": 10, "probabilities": [0.019290582499242752, 0.01929058249924276], "optimization_time": ... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0581) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0581) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0581) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0581) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} |
1186289097642092593 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2], [1, 4, 9], [4, 7], [8, 9], [8, 3], [1, 3], [2, 5, 6], [0, 8]]} | {"states": [298, 314], "expectation_value": -3.2500179511032647, "params": [[-0.0024000000000000002, 1.5851000000000002, 0.0217, -0.0022, 1.5819, 0.09090000000000001, 1.5832000000000002, 0.0014, 1.5887, 0.3251], [0.18580000000000002, 1.5822, 0.5761000000000001, 0.1822, 1.5867, 1.599, 1.5878, 0.2485, 1.5651000000000002,... | 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-3.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.666666666666666, "smallest_bitstrings": ["1011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0024) q[0];
ry(1.5851) q[1];
ry(0.0217) q[2];
ry(-0.0022) q[3];
ry(1.5819) q[4];
ry(0.0909) q[5];
ry(1.5832) q[6];
ry(0.0014) q[7];
ry(1.5887) q[8];
ry(0.3251) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-1432121138008864500 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 2, 5, 8, 9], [0, 1, 3], [0, 8, 11, 3], [0, 1, 4, 5, 10], [9, 2, 11, 4], [9, 7], [10, 11], [11, 3, 7], [0, 3, 4, 5, 6, 7, 8], [1, 2, 3, 5, 11], [9, 3, 4, 5], [10, 6], [1, 11, 6], [0, 1, 5, 8, 9, 11], [0, 9, 4, 6]]} | {"states": [2405, 2917], "expectation_value": -4.148552994835635, "params": [[[3.1386000000000003, 0.0077], [0.0023, 0.0011], [1.6495000000000002, 0.0022], [3.1394, 0.0045000000000000005], [0.3372, 0.008400000000000001], [3.1394, 0.0039000000000000003], [3.1394, 0.006], [-0.0028, 0.0089], [-0.0025, 0.007800000000000000... | 0.2833333333333333 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666669 * (Z(5) @ Z(1)) + 0.14047619047619048 * (Z(5) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.06666666666666667 * (Z(8) @ Z(1)) + 0.1738095238095238 * (Z(8) @ Z(0)) + 0.0333333333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.242857142857144], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.059523809523808, "smallest_bitstrings": ["010010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1386) q[0];
rz(0.0077) q[0];
rx(0.0023) q[1];
rz(0.0011) q[1];
rx(1.6495) q[2];
rz(0.0022) q[2];
rx(3.1394) q[3];
rz(0.0045) q[3];
rx(0.3372) q[4];
rz(0.0084) q[4];
rx(3.1394) q[5];
rz(0.0039) q[5];
rx(3.1394) q[6];
rz(0.006) q[6];
rx(-0.0028) 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": []} |
9800d678f4921072509903db27fda1fd | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [239, 207], "expectation_value": -3.086231998656059, "params": [0.001, 0.4228, 0.07350000000000001, -0.3009, 0.7058, -0.129, 0.6975, 0.0112, 0.3468, 0.1952, 0.0112, 0.4247, 0.6907, 0.2539, 0.6941, -0.0472, 0.6930000000000001, -0.0049, 0.6933, 0.0792, -0.008400000000000001, 0.5237, 0.0675, -0.3035, 0.7018, -0... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 16 | 10 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1100001001", "1101001000", "1100010001", "1100010010", "1000110100", "1100011000", "1001001100", "1100110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.001) q[0];
rz(0.4228) q[0];
rx(0.0735) q[1];
rz(-0.3009) q[1];
rx(0.7058) q[2];
rz(-0.129) q[2];
rx(0.6975) q[3];
rz(0.0112) q[3];
rx(0.3468) q[4];
rz(0.1952) q[4];
rx(0.0112) q[5];
rz(0.4247) q[5];
rx(0.6907) q[6];
rz(0.2539) q[6];
rx(0.6941) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
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