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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [375, 371], "expectation_value": -4.783084307121465, "params": [0.5388000000000001, 0.19920000000000002, 0.3234, 0.27690000000000003, 0.7714000000000001, -0.0071, 0.7703, 0.0256, 0.5968, 0.1842, 0.31930000000000003, 0.2485, 0.3229, 0.2684, 0.7673, 0.06620000000000001, 0.5791000000000001, 0.0528, 0.5327000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 18 | 9 | 4 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5388) q[0];
rz(0.1992) q[0];
rx(0.3234) q[1];
rz(0.2769) q[1];
rx(0.7714) q[2];
rz(-0.0071) q[2];
rx(0.7703) q[3];
rz(0.0256) q[3];
rx(0.5968) q[4];
rz(0.1842) q[4];
rx(0.3193) q[5];
rz(0.2485) q[5];
rx(0.3229) q[6];
rz(0.2684) q[6];
rx(0.7673) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": [], "gradients": []} |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 52], "expectation_value": -1.3753922845720719, "params": [[0.0697, 0.0682, 0.0743, 0.07100000000000001], [-0.076, -0.0645, -0.0692, -0.06470000000000001]], "bitstrings": ["011100", "001011"], "total_optimization_steps": 10, "probabilities": [0.03422550354776138, 0.034225503547761396], "optimization_time... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"]} | 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(0.0697) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0697) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.0697) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.0697) q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.0697... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
d55d504e597705d8581d37ec0d2e41ca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [126, 63], "expectation_value": -1.168029976893207, "params": [[0.0024000000000000002, 1.2811000000000001, 0.004, 0.7324, 0.0022, 1.3038, -0.0032], [0.2867, 0.0045000000000000005, -0.0172, -1.2809000000000001, 0.0013000000000000002, 0.0023, 1.2854], [-0.0038, 0.9326000000000001, -0.29410000000000003, 0.2141,... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 9 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
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(0.0024) q[0];
rx(1.2811) q[1];
rx(0.004) q[2];
rx(0.7324) q[3];
rx(0.0022) q[4];
rx(1.3038) q[5];
rx(-0.0032) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [0, 9], "expectation_value": -2.2499055589377397, "params": null, "bitstrings": ["1111", "0110"], "total_optimization_steps": 12, "probabilities": [1.730029747643551e-05, 0.9999393551708786], "optimization_time": 7.069214820861816} | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.25 * Z(3) + -0.75 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5486) q[2];
ry(-1.4449) q[1];
ry(1.4416) q[3];
ry(1.4416) q[0];
cry(-0.1259) q[3], q[1];
cry(0.1218) q[3], q[0];
cry(0.1214) q[0], q[3];
cry(-0.0222) q[3], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -6.41085154370113, "params": [[0.0648, 0.0488, -0.0383], [-0.0741, -0.0719, -0.0201]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.018711743620772575, 0.019910596482286564], "optimization_time": 9.180110692977905} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 11 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.2916) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2916) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2916) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2916) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
2e7f793de123eae9d3862516256ff644 | 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": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"sour... | {"states": [0, 113], "expectation_value": -4.227223283315928, "params": [0.6007, 0.0019, 0.3803, 0.0066, 0.6008, 0.0035, 0.3856, 0.0035, 0.6038, -0.0033, 0.6058, 0.0017000000000000001, 0.6108, 0.0029000000000000002, 0.6052000000000001, 0.0013000000000000002, 0.608, 0.0017000000000000001, 0.607, 0.0098, 0.3189, -0.0008,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.5, "smallest_bitstrings": ["010001111", "110001110", "110011100", "101011010", "101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6007) q[0];
rz(0.0019) q[0];
rx(0.6008) q[1];
rz(0.0035) q[1];
rx(0.6038) q[2];
rz(-0.0033) q[2];
rx(0.6108) q[3];
rz(0.0029) q[3];
rx(0.608) q[4];
rz(0.0017) q[4];
rx(0.3189) q[5];
rz(-0.0008) q[5];
rx(0.5622) q[6];
rz(0.0008) q[6];
rx(0.5962) 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": []} |
-1380098830073423629 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3], [0, 1], [0, 4], [0, 2], [0, 5], [5, 6]]} | {"states": [30, 54], "expectation_value": -2.6144110540561374, "params": null, "bitstrings": ["1100001", "1001001"], "total_optimization_steps": 48, "probabilities": [0.056036349160389104, 0.7989352625672765], "optimization_time": 41.53440523147583} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110110", "1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[0];
cry(-1.0342) q[1], q[3];
ry(1.0293) q[1];
ry(-0.6992) q[3];
cry(-0.6534) q[4], q[0];
ry(0.9979) q[5];
cry(-1.3795) q[5], q[6];
cry(1.1473) q[5], q[4];
ry(-0.5076) q[0];
cry(1.352)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[5], 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... |
082b6c86bc8d553008a81e548bf0a65e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [0, 3], "expectation_value": -12.630859830662727, "params": [-0.0032, 0.6079, 0.0027, 0.5386000000000001, 0.0027, 0.5608000000000001, 0.003, 0.734, 0.0029000000000000002, 0.7325, 0.0026000000000000003, 0.7511, 0.0027, 0.7495, -0.32230000000000003, -0.0001, 0.9993000000000001, -0.0001, -0.0032, -0.22790000000... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 4 | 9 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0032) q[0];
rz(0.6079) q[0];
rx(0.0027) q[1];
rz(0.5386) q[1];
rx(0.0027) q[2];
rz(0.5608) q[2];
rx(0.003) q[3];
rz(0.734) q[3];
rx(0.0029) q[4];
rz(0.7325) q[4];
rx(0.0026) q[5];
rz(0.7511) q[5];
rx(0.0027) q[6];
rz(0.7495) q[6];
rx(-0.3223) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
339a57bb1c23f4470580bb80982f1c3f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [58, 186], "expectation_value": -1.3530998137450556, "params": [[[0.0859, -0.3125, 0.003, 0.0006000000000000001], [0.2702, 0.0051, 0.4854, 0.0302], [-0.08950000000000001, 0.1379, 0.018600000000000002, 0.2898], [-0.2461, -0.015700000000000002, 0.504, -0.11810000000000001], [0.433, -0.3599, 0.4219, -0.0867], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.06... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["101100100", "100110100", "010110100", "101000101", "100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0859) q[0];
rz(-0.3125) q[0];
ry(0.2702) q[1];
rz(0.0051) q[1];
ry(-0.0895) q[2];
rz(0.1379) q[2];
ry(-0.2461) q[3];
rz(-0.0157) q[3];
ry(0.433) q[4];
rz(-0.3599) q[4];
ry(0.2525) q[5];
rz(0.4226) q[5];
ry(0.0871) q[6];
rz(0.1441) q[6];
ry(-0.1549) 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": []} |
98cf638083ee5f86730c4c6c6a1cdd43 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 5, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.03152558780795563, "params": [[0.005200000000000001, 0.1032, 0.007200000000000001, 0.0058000000000000005, 0.0054, 0.0076], [0.0011, 0.1022, -0.0023, 0.0074, 0.0022, 0.0014]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.015794152392... | -1.0 * (Z(0) @ Z(2)) + -3.0 * (Z(1) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -3.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(1) + -1.5 * Z(5) + 1.75 * Z(3) + 1.75 * Z(4) | 9 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
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(0.0052) q[0];
rx(0.1032) q[1];
rx(0.0072) q[2];
rx(0.0058) q[3];
rx(0.0054) q[4];
rx(0.0076) q[5];
h q[0];
h q[1];
h q[2];
h q[3];
h 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [3, 35], "expectation_value": -3.154074296408975, "params": [0.39590000000000003, 0.0021000000000000003, 0.12890000000000001, 0.108, 0.0898, 0.1385, 0.0755, 0.1658, 0.4046, 0.0001, 0.4026, -0.0006000000000000001, 0.4007, -0.0019, 0.08510000000000001, 0.1032, 0.0738, 0.13490000000000002, 0.06280000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 4 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.3959) q[0];
rz(0.0021) q[0];
rx(0.1289) q[1];
rz(0.108) q[1];
rx(0.0898) q[2];
rz(0.1385) q[2];
rx(0.0755) q[3];
rz(0.1658) q[3];
rx(0.4046) q[4];
rz(0.0001) q[4];
rx(0.4026) q[5];
rz(-0.0006) q[5];
crx(-0.0649) q[5], q[4];
crx(-0.0281) q[4], q[3];
crx(-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": []} |
171e704e65359d5a57d8a8e54db87dfb | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [55, 53], "expectation_value": -11.499999939041139, "params": null, "bitstrings": ["11001000", "11001010"], "total_optimization_steps": 45, "probabilities": [4.0034557302040344e-08, 0.9999999557875574], "optimization_time": 51.170905113220215} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.5708) q[2], q[3];
cry(1.5706) q[2], q[5];
cry(1.5706) q[5], q[7];
ry(-1.5708) q[0];
ry(-1.5681) q[1];
cry(-1.5681) q[2], q[4];
ry(-1.4449) q[6];
cry(-0.1188) q[5], q[6];
cry... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
95f1851442711fded51a189a201b431f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capac... | {"states": [256, 305], "expectation_value": -0.13766112311967188, "params": [[0.0063, 0.001, 0.006500000000000001, 0.0061, 0.002, 0.0034000000000000002, 0.003, 0.0098, -0.0008, 0.0023], [0.0006000000000000001, 0.0095, 0.3059, 0.0099, 0.007500000000000001, 0.00030000000000000003, 0.008, 0.3088, 0.0074, 0.0027], [0.0015,... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(9)) + -0.5 * (Z(7) @... | 9 | 10 | 3 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.0, "smallest_bitstrings": ["1011000110", "1011000010", "1011001110"]} | 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];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0063) q[0];
rx(0.001) q[1];
rx(0.0065)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
10d7f8a177c88c067e76c344903e05cf | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -16.025287524331535, "params": [[[0.0023, 3.1611000000000002], [0.0022, 0.0022], [0.0018000000000000002, 0.002], [0.0021000000000000003, 0.002], [-0.0026000000000000003, 0.0021000000000000003], [-1.6229, -0.0028], [0.0023, -0.0029000000000000002]]], "bitstrings": ["0000000", ... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4)... | 15 | 7 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0023) q[0];
ry(0.0022) q[1];
ry(0.0018) q[2];
ry(0.0021) q[3];
ry(-0.0026) q[4];
ry(-1.6229) q[5];
ry(0.0023) 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(3.1611) q[0];
ry(0.0022) 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(x3) q[3];
ry(x4) q... | {"node": 7} | {"circuits": [], "gradients": []} |
16e531ebd5c4fa365456c9500ea8e716 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [466, 498], "expectation_value": -3.089584575225213, "params": [[[0.05, 0.0094, 0.0037, 0.0061], [0.0166, 0.7689, 0.4032, -0.38270000000000004], [0.1625, -0.4312, -0.0256, 0.5657], [-0.066, -0.659, 0.0592, 0.5614], [0.7618, -0.1178, 0.5791000000000001, 0.1447], [0.1378, 0.17800000000000002, 1.3018, -0.0183],... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 11 | 10 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.625, "smallest_bitstrings": ["0001011010", "0001011001", "0101011000", "1000011001", "1000001101", "10000010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.05) q[0];
rz(0.0094) q[0];
ry(0.0166) q[1];
rz(0.7689) q[1];
ry(0.1625) q[2];
rz(-0.4312) q[2];
ry(-0.066) q[3];
rz(-0.659) q[3];
ry(0.7618) q[4];
rz(-0.1178) q[4];
ry(0.1378) q[5];
rz(0.178) q[5];
ry(1.0641) q[6];
rz(-0.0082) q[6];
ry(1.3402) 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": []} |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [65, 1], "expectation_value": -0.5543198005478759, "params": [[-0.0541], [0.0671]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0026263999685605093, 0.002800823090057983], "optimization_time": 2.842944622039795} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0811) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0541) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0811) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.0541) q[6];
cx q[1], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
204b696bb62238cc8b72d6f10bf977d8 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "ta... | {"states": [67, 71], "expectation_value": -5.45039821314807, "params": [[[1.0219, 0.3504, 0.0024000000000000002, 0.007], [-0.7612, 0.1879, 0.5585, 0.2058], [0.3934, -0.0068000000000000005, -0.38820000000000005, -0.4082], [0.0016, -0.7527, 0.7613000000000001, -0.443], [0.0059, 1.7947000000000002, -0.0014, -0.3407], [0.0... | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -2.0 * Z(4) + ... | 11 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(1.0219) q[0];
rz(0.3504) q[0];
ry(-0.7612) q[1];
rz(0.1879) q[1];
ry(0.3934) q[2];
rz(-0.0068) q[2];
ry(0.0016) q[3];
rz(-0.7527) q[3];
ry(0.0059) q[4];
rz(1.7947) q[4];
ry(0) q[5];
rz(-0.4973) q[5];
ry(0.0031) q[6];
rz(1.7034) q[6];
ry(3.0934) 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": []} |
3752093b82ed107b6f6f5e75324b3162 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [119, 127], "expectation_value": -5.49519940518524, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 62, "probabilities": [0.4989561015638095, 0.4989561015638095], "optimization_time": 74.81102800369263} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + 1.0 * Z(3) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["10000000", "10001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5681) q[3];
cry(1.5486) q[3], q[5];
cry(1.5486) q[5], q[6];
ry(1.5681) q[2];
ry(1.4447) q[1];
cry(1.5481) q[1], q[7];
cry(-1.5483) q[7], q[0];
cry(0.0892) q[2], q[1];
ry(0.0158) q[5];
ry(0.02... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
1642491839435405152 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5], [0, 4, 5, 6], [1, 2, 6], [0, 2, 3, 4, 6]]} | {"states": [83, 47], "expectation_value": -0.45205004875508176, "params": [[0.36250000000000004], [-0.3612]], "bitstrings": ["0101100", "1010000"], "total_optimization_steps": 40, "probabilities": [0.014243516623967441, 0.014497565818973926], "optimization_time": 2.616229295730591} | 0.21666666666666667 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(4)) + 0.05 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.133333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.116666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1166666666666665, "smallest_bitstrings": ["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];
cx q[4], q[2];
rz(0.1571) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.1813) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.1208) q[5];
cx q[2], q[5];
cx q[4], q[0];
rz(0.0967) q[0];
cx q[4], q[0];
cx q[2], q[0];
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] 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 ... | null | {"circuits": [], "gradients": []} |
82fbef622e63fd615445774db4f26c42 | 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": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 2, "target":... | {"states": [0, 384], "expectation_value": -58.93992546518538, "params": [-0.1096, 2.1788000000000003, 0.8389000000000001, 0.0091, 1.3878000000000001, -0.059800000000000006, 0.5205000000000001, -0.1559, -0.0028, 2.2416, -0.0028, 0.006200000000000001, -0.0028, 2.279, -0.0028, 0.2048, -0.0028, 2.2823, -0.0028, 0.000300000... | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(5)) + 1.5 * (Z(6) @ Z(5)) + -4.0 * (Z(6) @ Z(2)) + -4.0 * (Z(7) @ Z(5)) + -3.5 * (Z(7) @ Z(2)) + -4.0 * (Z(7) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -4.0 * (Z(8) @ Z(2)) + 2.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(7)) + -3.5 * (Z(3) @ Z(5)) + 2.0 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(6)) + 2... | 8 | 9 | 1 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.1096) q[0];
rz(2.1788) q[0];
rx(1.3878) q[1];
rz(-0.0598) q[1];
rx(-0.0028) q[2];
rz(2.2416) q[2];
rx(-0.0028) q[3];
rz(2.279) q[3];
rx(-0.0028) q[4];
rz(2.2823) q[4];
rx(-0.0028) q[5];
rz(2.2591) q[5];
rx(-0.0027) q[6];
rz(2.259) q[6];
rx(0.0028) 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": 6} | {"circuits": [], "gradients": []} |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [46, 47], "expectation_value": -4.499906801932809, "params": null, "bitstrings": ["010001", "010000"], "total_optimization_steps": 23, "probabilities": [1.4544661481581006e-05, 0.9999210579975322], "optimization_time": 23.347378969192505} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"]} | 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[1];
ry(1.4449) q[5];
ry(1.4449) q[0];
ry(1.4449) q[2];
ry(1.4449) q[3];
ry(1.4449) q[4];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[0];
cry(0.1188) q[0], q[2];
cry(0.1188) q[0], q[3];
cry(0.1186) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
589a81c8fd04d28f25b3e8e25563f55c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 3, "source": 3, ... | {"states": [128, 127], "expectation_value": -1.1874525153919675, "params": [[-0.052500000000000005, -0.0494, -0.050300000000000004, -0.060500000000000005], [0.0634, 0.053700000000000005, 0.0587, 0.0655]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.008651951099396388, 0.0... | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * Z(7) + -0.25 * Z(0) + 0.0 * Z(4) + -0.25 * Z(1) + 1.25 * Z(3) + -1.25 * Z(2) + -0.5 * Z(6) + 1.25 * Z(5) | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.0263) q[0];
cx q[7], q[0];
cx q[4], q[1];
rz(0.0525) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.0788) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(0.105) q[2];
cx q[3], q[2];
cx 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": []} |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [246, 244], "expectation_value": -10.17214267043022, "params": [[-0.0286, 0.0489], [0.0417, -0.0333]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0033446437660659472, 0.003721739348167978], "optimization_time": 3.240600347518921} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"]} | 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(-0.2574) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2574) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2574) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2574) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
00c47f772e828bc0d4453cbe4002ef93 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 6}, ... | {"states": [165, 229], "expectation_value": -2.9588695422054716, "params": [0.078, 0.0737, 0.5365, 0.5314, 0.3029, 0.3018, 0.5424, 0.5386000000000001, -0.010700000000000001, -0.007500000000000001, 0.0035, -0.0006000000000000001, 0.5288, 0.5371, 0.0582, 0.053700000000000005, 0.5364, 0.5353, 0.0731, 0.0763, 0.53260000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(0) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(8) @ Z(1)) + 0.12... | 13 | 9 | 3 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.375, "smallest_bitstrings": ["001101100", "010101010", "001011100", "001011010", "101011000", "100011001", "100011010", "010011010", "100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.078) q[0];
ry(0.5365) q[1];
ry(0.3029) q[2];
ry(0.5424) q[3];
ry(-0.0107) q[4];
ry(0.0035) q[5];
ry(0.5288) q[6];
ry(0.0582) q[7];
ry(0.5364) q[8];
crz(-0.0015) q[8], q[0];
crz(-0.1524) q[7], q[8];
crz(0.0094) q[6], q[7];
crz(0.4405) q[5], q[6];
crz(0.319... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} |
9a3c66038e0dd3448b6f18e1042eccfa | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [3966, 3967], "expectation_value": -20.55425247800008, "params": [-1.2229, -1.0038, -0.0014, -0.0082, -0.0027, -0.0025, -0.0025, -0.0025, 0.0016, -0.0071, -1.6875, -1.4503000000000001, -0.0019, -0.002, -0.0284, 0.0236, -1.6074000000000002, -1.0446, 0.016, -0.0035, 0.5972000000000001, -0.0304, 0.6531, 0.6266,... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) ... | 14 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-1.2229) q[0];
ry(-0.0014) q[1];
ry(-0.0027) q[2];
ry(-0.0025) q[3];
ry(0.0016) q[4];
ry(-1.6875) q[5];
ry(-0.0019) q[6];
ry(-0.0284) q[7];
ry(-1.6074) q[8];
ry(0.016) q[9];
ry(0.5972) q[10];
ry(0.6531) q[11];
crx(-0.9656) q[11], q[0];
crx(-2.9058) q[10],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"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": -63.57265886038675, "params": [0.3874, -0.5908, 1.5952000000000002, -0.0023, 1.5696, -0.0018000000000000002, 1.6546, -0.2393, 0.4781, -0.5733, 1.6268, 0.0014, 1.6880000000000002, 0.15130000000000002, 0.7642, 0.44010000000000005, 0.38930000000000003, 0.0038, 1.5553000000000001... | 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 | 2 | {"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(0.3874) q[0];
rz(-0.5908) q[0];
rx(1.5952) q[1];
rz(-0.0023) q[1];
rx(1.5696) q[2];
rz(-0.0018) q[2];
rx(1.6546) q[3];
rz(-0.2393) q[3];
rx(0.4781) q[4];
rz(-0.5733) q[4];
rx(1.6268) q[5];
rz(0.0014) q[5];
rx(1.688) q[6];
rz(0.1513) q[6];
rx(0.7642) 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
aa593368bb5365cab30d0ff25322eaa9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -7.325558372302478, "params": [0.0037, -0.4247, 0.0028, 0.6076, -0.049600000000000005, 0.4264, 0.0028, 0.6023000000000001, 0.0025, 0.5786, 0.0028, 0.6039, 0.0023, 0.6005, -0.16140000000000002, -0.2524, 0.8035, 0.0037, 0.0036000000000000003, -0.2746, 0.0028, -0.0111, -0.0516, 0.00... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(5)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.0 * Z(8) + 0.25 * Z(1) + -0.5 * Z(6) + -2.5 * Z(5) + 1.0 * Z(2) + -0.25 * Z(4)... | 4 | 9 | 2 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.25, "smallest_bitstrings": ["110111110", "111111100", "110111100", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0037) q[0];
rz(-0.4247) q[0];
rx(0.0028) q[1];
rz(0.6076) q[1];
rx(-0.0496) q[2];
rz(0.4264) q[2];
rx(0.0028) q[3];
rz(0.6023) q[3];
rx(0.0025) q[4];
rz(0.5786) q[4];
rx(0.0028) q[5];
rz(0.6039) q[5];
rx(0.0023) q[6];
rz(0.6005) q[6];
rx(-0.1614) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-4110772197468043772 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [1, 2], [0, 6], [1, 6], [0, 3], [2, 6], [3, 6], [0, 2], [0, 4], [2, 5], [1, 5]]} | {"states": [31, 23], "expectation_value": -0.038920857167368386, "params": [0.7134, 0.7110000000000001, 0.7321000000000001, 0.7274, 0.8404, 0.8423, 0.7699, 0.7669, 0.8592000000000001, 0.8531000000000001, 0.8118000000000001, 0.8066, 0.8531000000000001, 0.8503000000000001, 0.1119, 0.0095, -0.0965, 0.0025, 0.1245, 0.00520... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + ... | 13 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -1.5, "smallest_bitstrings": ["1111000", "1101000", "1101010", "1000111", "1000011", "0010111", "0111000", "0111100", "0010101", "0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.7134) q[0];
ry(0.7321) q[1];
ry(0.8404) q[2];
ry(0.7699) q[3];
ry(0.8592) q[4];
ry(0.8118) q[5];
ry(0.8531) q[6];
crz(0.1119) q[6], q[0];
crz(0.1083) q[5], q[6];
crz(0.1296) q[4], q[5];
crz(-0.14) q[3], q[4];
crz(-0.1284) q[2], q[3];
crz(0.1245) q[1], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
438984a20540b317dcdc959ffda42259 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [4362, 4366], "expectation_value": -153.0016427024554, "params": [[0.8806, 0.059500000000000004, -0.0054, -0.0649, 0.808, 0.0262, 0.0014, -0.0007, 0.0016, 0.8014, -0.0316, 0.8156, -0.09240000000000001], [0.8015, 0.0736, -0.0013000000000000002, -0.011300000000000001, 0.809, 0.0023, -0.0008, -0.003600000000000... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(3) @ Z(0)) + 8.5 * (Z(4) @ Z(1)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(5) @ Z(9)) + 8.5 * (Z(12) @ Z(9)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(10) @ Z(12)) + 8.5 * (Z(6) @ Z(10)) + 8.5 * (Z(11) @ Z(9)) + 8.5 * (Z(11) @ Z(12)) + 8.5 * (Z(11) @ Z(10)) + 8.5 * (Z(8) @ Z(11)) + 6.0 * Z(0) + 2.5 * Z(1)... | 10 | 13 | 4 | {"smallest_eigenvalues": [-173.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -153.0, "smallest_bitstrings": ["0111011110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.8806) q[0];
ry(0.0595) q[1];
ry(-0.0054) q[2];
ry(-0.0649) q[3];
ry(0.808) q[4];
ry(0.0262) q[5];
ry(0.0014) q[6];
ry(-0.0007) q[7];
ry(0.0016) q[8];
ry(0.8014) q[9];
ry(-0.0316) q[10];
ry(0.8156) q[11];
ry(-0.0924) q[12];
cz q[12], q[11];
cz q[11], 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
4b8e8d3bc089d9f1ce23ac8f56ea8854 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [149, 181], "expectation_value": -5.501615058229851, "params": [[[0.7002, -0.004200000000000001, 0.006200000000000001, 0.0038], [0.0018000000000000002, 0.4627, 0.0043, 0.0029000000000000002], [0.36300000000000004, 0.0028, 0.0011, 0.0038], [0.3476, -0.0985, 0.5874, 0.0058000000000000005], [-0.0002, 0.4026, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(7) + -1.... | 12 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7002) q[0];
rz(-0.0042) q[0];
ry(0.0018) q[1];
rz(0.4627) q[1];
ry(0.363) q[2];
rz(0.0028) q[2];
ry(0.3476) q[3];
rz(-0.0985) q[3];
ry(-0.0002) q[4];
rz(0.4026) q[4];
ry(0.2529) q[5];
rz(0.0418) q[5];
ry(-0.0003) q[6];
rz(0.03) q[6];
ry(0.698) 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": []} |
cb943fcd43d9f749780630b91be79506 | 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": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [199, 223], "expectation_value": -7.371789026401859, "params": null, "bitstrings": ["100111000", "100100000"], "total_optimization_steps": 100, "probabilities": [0.12621701500811097, 0.5246779241019593], "optimization_time": 186.68361830711365} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | 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[3];
cry(1.5626) q[5], q[4];
cry(-1.5626) q[8], q[0];
ry(0.9494) q[8];
ry(-0.4938) q[0];
cry(1.5016) q[8], q[2];
cry(1.4921) q[5], q[7];
cry(0.9259) q[4], q[5];
cry(1.557) q[7... | 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[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] = ... |
7b9c246532208479e16ead07d0fd9661 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [60855, 60795], "expectation_value": -14.693603208664202, "params": [[0.13290000000000002, 0.1095, 0.0868], [-0.1366, -0.13440000000000002, -0.1298]], "bitstrings": ["0001001001001000", "0001001010000100"], "total_optimization_steps": 20, "probabilities": [0.0016784654126571624, 0.001684186709465096], "optim... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.000000000000043], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999975, "smallest_bitstrings": ["0001001010000100"]} | 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[2], q[0];
rz(0.1329) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1329) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1329) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 3}]}} | {"circuits": [], "gradients": []} |
4483787729119184214 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [1, 4, 6], [1, 2, 5], [5, 6], [0, 3], [0, 7]]} | {"states": [228, 226], "expectation_value": -2.3794554133374133, "params": null, "bitstrings": ["00011011", "00011101"], "total_optimization_steps": 57, "probabilities": [0.05468579858330889, 0.7561510227262813], "optimization_time": 63.96699380874634} | 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.0 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.6666666666666665, -2.6666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3333333333333335, "smallest_bitstrings": ["00011101", "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];
ry(1.2292) q[1];
cry(-1.0342) q[2], q[3];
ry(0.7191) q[2];
cry(-1.1437) q[6], q[5];
cry(-0.7162) q[0], q[3];
cry(1.1534) q[2], q[0];
cry(-1.3623) q[0], q[7];
ry(0.7527) q[6];
ry(-0.5113) q[5];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2292) 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[... |
1a9af805cf7f57ca2d44c009938a54aa | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [509, 511], "expectation_value": -5.224191870276349, "params": null, "bitstrings": ["1000000010", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.3637337948670352, 0.3637337948670352], "optimization_time": 227.5586175918579} | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5706) q[4];
cry(1.5681) q[4], q[7];
cry(1.5486) q[4], q[1];
cry(1.5486) q[7], q[2];
cry(1.4448) q[9], q[6];
cry(1.0339) q[7], q[3];
cry(-1.0342) q[4], q[0];
cry(0.9834) q[9]... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5706) 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]... |
7d6ca7bcb082771e20acb1517cc99090 | 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": 6, "source": 2, "target": 3}, {"weight": 14, "source": 2, "target": 4}, {"weight": 17, "source": 2, "targ... | {"states": [190, 118], "expectation_value": -22.07730219731482, "params": [[-0.034, -0.0044], [0.06720000000000001, 0.0625]], "bitstrings": ["101000001", "110001001"], "total_optimization_steps": 10, "probabilities": [0.005983491355774261, 0.007426259767421997], "optimization_time": 5.853525638580322} | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(-0.306) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.306) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.306) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.306) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
b0b269dd9f10ed56ad7d2febbade41b5 | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "... | {"states": [3184, 3199], "expectation_value": -19.87518863113268, "params": null, "bitstrings": ["001110001111", "001110000000"], "total_optimization_steps": 100, "probabilities": [0.11530457321492948, 0.3175898881732312], "optimization_time": 205.51950407028198} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) + 0.5 * Z(1) + 0.5 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["001110000000"]} | 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];
ry(-1.5708) q[4];
ry(-1.5577) q[3];
ry(-0.233) q[2];
cry(-1.3378) q[11], q[2];
cry(-0.6689) q[10], q[2];
cry(1.5706) q[11], q[9];
cry(1.5708) q[11], q[8];
cry(0... | null | {"node": 2} | {"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];\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];... |
-3605851653834633069 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11, 5], [1, 2, 4, 9, 11], [0, 2], [0, 9, 5, 6], [9, 10, 4, 5], [1, 10, 6], [0, 4, 6, 7, 10], [2, 3], [1, 4, 6, 7, 11], [8, 1, 5, 7], [3, 11], [0, 3, 6, 7], [1, 10, 11, 4], [0, 8, 7], [1, 10, 5], [8, 2, 5, 6], [3, 6, 7, 8, 10], [0, 1], [9, 10, 11, 1], ... | {"states": [575, 1599], "expectation_value": -5.064464616378517, "params": [[[0.5378000000000001, 0.0081], [1.5908, 0.008700000000000001], [3.1602, 0.0039000000000000003], [0.31970000000000004, 0.0031000000000000003], [1.0987, 0.0041], [1.1384, 0.0022], [3.1616, 0.00030000000000000003], [3.1617, 0.0068000000000000005],... | 0.21666666666666667 * (Z(2) @ Z(11)) + 0.21666666666666667 * (Z(5) @ Z(11)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.26666666666666666 * (Z(1) @ Z(11)) + 0.13333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(5)) + 0.23333333333333334 * (Z(4) @ Z(11)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.133333333333... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.600000000000003, "smallest_bitstrings": ["100111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.5378) q[0];
rz(0.0081) q[0];
rx(1.5908) q[1];
rz(0.0087) q[1];
rx(3.1602) q[2];
rz(0.0039) q[2];
rx(0.3197) q[3];
rz(0.0031) q[3];
rx(1.0987) q[4];
rz(0.0041) q[4];
rx(1.1384) q[5];
rz(0.0022) q[5];
rx(3.1616) q[6];
rz(0.0003) q[6];
rx(3.1617) 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": []} |
4a07d8cd482ce7fb76684438a5cf9815 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4},... | {"states": [2047, 1791], "expectation_value": -24.52821777864699, "params": [[[-0.0019, 3.1595], [0.0022, 0.0019], [1.6298000000000001, 0.0031000000000000003], [0.0023, -0.0029000000000000002], [0.0018000000000000002, 0.0021000000000000003], [0.0018000000000000002, 0.002], [0.0022, 0.002], [0.0022, 0.002100000000000000... | -2.0 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 1.5 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(8)) + ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0019) q[0];
ry(0.0022) q[1];
ry(1.6298) q[2];
ry(0.0023) q[3];
ry(0.0018) q[4];
ry(0.0018) q[5];
ry(0.0022) q[6];
ry(0.0022) q[7];
ry(0.0023) q[8];
ry(0.0022) q[9];
ry(0.0021) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2]... | {"node": 11} | {"circuits": [], "gradients": []} |
501477738601b9a56009fb34d8274268 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [27, 31], "expectation_value": -4.891461038695923, "params": null, "bitstrings": ["100100", "100000"], "total_optimization_steps": 35, "probabilities": [0.3657088066685248, 0.36574086973498815], "optimization_time": 23.94345498085022} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "100100"]} | 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[1];
cry(1.5708) q[1], q[2];
cry(1.4449) q[5], q[4];
cry(1.0462) q[4], q[5];
cry(-1.2965) q[5], q[0];
cry(-0.2312) q[4], q[0];
ry(0.2588) q[0];
ry(0.0977) q[5];
ry(0.1418) q[4];
cry(0.0503) q[1], q[5]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
55e47338bba624266c8b8b1563bf0dbf | matching | 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": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 6}, {"weight":... | {"states": [500, 468], "expectation_value": -103.97546631804747, "params": [0.6881, 0.012700000000000001, 0.6819000000000001, -0.07540000000000001, 0.6736000000000001, 0.0082, 0.6543, -0.0172, 0.6886, 0.013600000000000001, 0.6809000000000001, -0.0258, 0.6827000000000001, -0.0838, 0.6798000000000001, -0.0223, 0.28350000... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(9) ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6881) q[0];
rz(0.0127) q[0];
rx(0.6736) q[1];
rz(0.0082) q[1];
rx(0.6886) q[2];
rz(0.0136) q[2];
rx(0.6827) q[3];
rz(-0.0838) q[3];
rx(0.2835) q[4];
rz(0.3583) q[4];
rx(0.6867) q[5];
rz(0.0358) q[5];
rx(0.1271) q[6];
rz(-0.2379) q[6];
rx(0.6828) 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[... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
8c96d267ad9dac3e5a4c4afd9dbbc4ee | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -10.926225615777563, "params": [[[-0.015700000000000002, -0.0028], [0.0073, 0.0675], [-0.0015, -0.010400000000000001], [-0.0041, -0.0027], [-0.0002, 0.003], [-0.0015, 0.0031000000000000003], [-0.005, 0.0027], [0.0012000000000000001, -0.0026000000000000003], [1.4858, -0.0022],... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(9) @ Z(6)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0157) q[0];
ry(0.0073) q[1];
ry(-0.0015) q[2];
ry(-0.0041) q[3];
ry(-0.0002) q[4];
ry(-0.0015) q[5];
ry(-0.005) q[6];
ry(0.0012) q[7];
ry(1.4858) q[8];
ry(0.3647) 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],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
e9af1a9f112f5a53fb57fbd0d9beb1bf | connected_components | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 6}]} | {"states": [56, 62], "expectation_value": -7.105507838957649, "params": null, "bitstrings": ["000111", "000001"], "total_optimization_steps": 41, "probabilities": [0.19908769825046888, 0.5936890225911822], "optimization_time": 22.013084411621094} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5681) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(1.2536) q[0], q[1];
cry(0.4771) q[0], q[2];
cry(1.5486) q[4], q[3];
cry(1.2305) q[3], q[4];
ry(-0.1694) q[0];
ry(-1.4449) q[5];
cry(0.1694) q[1], q[0];
cry(-0.1... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5681) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
-8861534716870042528 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 6], [11, 3], [8, 3, 5, 7], [1, 2, 4, 5, 10], [0, 2], [9, 11]]} | {"states": [3478, 1430], "expectation_value": -1.827037643813015, "params": [[[1.4739, 0.005, 0.0066, 0.007200000000000001], [0.28150000000000003, -0.0002, 1.5543, 0.006500000000000001], [0.0022, 0.0085, 0.0047, 0.006], [1.0472000000000001, 0.0029000000000000002, 1.0439, 0.0024000000000000002], [1.7020000000000002, 0.0... | 0.5 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(10) @ Z(7)) + 0.08333333333333333 * (Z(10) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(4) @ Z(7)) +... | 12 | 12 | 1 | {"smallest_eigenvalues": [-2.450000000000001, -2.450000000000001, -2.450000000000001, -2.450000000000001, -2.450000000000001, -2.450000000000001], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.4500000000000006, "smallest_bitstrings": ["000011101001", "101001101001", "001011001001", "110001101001", "11... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.4739) q[0];
rz(0.005) q[0];
ry(0.2815) q[1];
rz(-0.0002) q[1];
ry(0.0022) q[2];
rz(0.0085) q[2];
ry(1.0472) q[3];
rz(0.0029) q[3];
ry(1.702) q[4];
rz(0.0022) q[4];
ry(-0.003) q[5];
rz(0.7411) q[5];
ry(0.0023) q[6];
rz(0.0054) q[6];
ry(1.047) 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": []} |
3c9c101d3ca31818a58dc6d661f912ad | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [9, 1], "expectation_value": -0.7493492529053647, "params": [[-0.0813], [0.0727]], "bitstrings": ["1111110110", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0016258618978397873, 0.0018316383172524444], "optimization_time": 3.660573720932007} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.5 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "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[1], q[0];
rz(0.0406) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.122) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0406) q[2];
cx q[0], q[2];
cx q[0], q[7];
rz(0.0813) q[7];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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 ... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
5762622396071207831 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 2, 5, 7], [8, 5, 7], [8, 9], [1, 4, 5, 6, 8], [0, 3]]} | {"states": [954, 942], "expectation_value": -0.8982775886631499, "params": [1.1038000000000001, -0.1173, 1.0991, 0.0053, 1.0959, -0.2091, 1.0852, 0.0022, 1.0939, -0.2092, 1.0856000000000001, 0.0054, 0.48900000000000005, 0.3904, 0.48910000000000003, 0.0046, 1.0925, -0.2187, 1.0835000000000001, 0.0049, 1.0917000000000001... | 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(0)) + 0.1 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.05 * (Z(8) @ Z(1)) + 0.21666666666666667 * (Z(8) @ Z(5)) + 0.1666666666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, -1.7333333333333336, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1038) q[0];
rz(-0.1173) q[0];
rx(1.0959) q[1];
rz(-0.2091) q[1];
rx(1.0939) q[2];
rz(-0.2092) q[2];
rx(0.489) q[3];
rz(0.3904) q[3];
rx(1.0925) q[4];
rz(-0.2187) q[4];
rx(1.0917) q[5];
rz(-0.165) q[5];
rx(1.0959) q[6];
rz(-0.2175) q[6];
rx(1.096) 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": []} |
5bfd79024282ae69c62758a244a2de56 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [41, 44], "expectation_value": -2.9963046695352116, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 20, "probabilities": [0.0670646542080499, 0.9295035146573057], "optimization_time": 10.101498365402222} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["010011", "010101", "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];
ry(-1.5681) q[1];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[3], q[5];
ry(0.6944) q[3];
ry(-0.451) q[5];
cry(0.4963) q[2], q[3];
cry(-0.3778) q[2], q[5];
cry(0.2518) q[0], q[3];
cry(-0.149... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2fc4cdd822562fe181c001ffdae1abb5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 9}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -15.34310723822909, "params": [[[0.7639, -0.8925000000000001], [0.0027, 1.2015], [0.002, 0.0026000000000000003], [0.0027, 0.0025], [0.0024000000000000002, 0.0018000000000000002], [-0.0011, 0.0017000000000000001], [-0.003, 0.0026000000000000003], [0.0032, 0.0031000000000000003]... | -0.25 * (Z(0) @ Z(8)) + -0.75 * (Z(11) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(11)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(11)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z... | 15 | 12 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7639) q[0];
ry(0.0027) q[1];
ry(0.002) q[2];
ry(0.0027) q[3];
ry(0.0024) q[4];
ry(-0.0011) q[5];
ry(-0.003) q[6];
ry(0.0032) q[7];
ry(0.0036) q[8];
ry(0.0024) q[9];
ry(-0.003) q[10];
ry(0.0028) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
980678711041075930 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 7], [8, 9, 5], [0, 7], [1, 6], [2, 7], [0, 3], [2, 4]]} | {"states": [730, 666], "expectation_value": -2.631214585717914, "params": [1.3005, -0.0529, 1.2956, 0.0024000000000000002, 0.42010000000000003, 0.0444, 0.0795, 0.0002, 1.3045, -0.056100000000000004, 1.3013000000000001, 0.0026000000000000003, 0.8889, 0.373, 0.4474, 0.0089, 0.6749, 0.0199, 0.0442, 0.0098, 1.2987, -0.0394... | 0.5 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(7) + 0.16666666666666663 * Z(8) + 0.16666666666666666 * Z(9) + 0.1... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1110000010", "0101110100", "0001101101", "0101100101", "0001111100", "1010001010"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.3005) q[0];
rz(-0.0529) q[0];
rx(0.4201) q[1];
rz(0.0444) q[1];
rx(1.3045) q[2];
rz(-0.0561) q[2];
rx(0.8889) q[3];
rz(0.373) q[3];
rx(0.6749) q[4];
rz(0.0199) q[4];
rx(1.2987) q[5];
rz(-0.0394) q[5];
rx(1.3048) q[6];
rz(-0.062) q[6];
rx(0.3708) 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": []} |
8f80463061dac6ffb1ebd4107775147b | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": ... | {"states": [143, 191], "expectation_value": -13.687839089629021, "params": null, "bitstrings": ["1101110000", "1101000000"], "total_optimization_steps": 100, "probabilities": [0.11658561457608013, 0.5347482342685865], "optimization_time": 174.45864129066467} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + -2.5 * (Z(2) @ Z(6)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(9)) + -2.0 * (Z(8) @ Z(2)) + -1.5 * Z(1) + -1.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["1101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[6], q[2];
cry(1.5708) q[2], q[9];
cry(1.1127) q[9], q[6];
cry(0.229) q[9], q[2];
ry(-1.5708) q[3];
cry(1.5704) q[6], q[7];
cry(1.5704) q[2], q[8];
ry(-1.5681) q[1];... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[6], 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] = measu... |
5790406016412728325 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [2, 5], [3, 4], [1, 6], [0, 5], [0, 1], [2, 6, 7], [1, 2]]} | {"states": [178, 170], "expectation_value": -1.5920840072098776, "params": [0.9063, -0.0219, 0.9007000000000001, 0.004, 0.6084, 0.0102, 0.3768, 0.0, 0.898, -0.0285, 0.8964000000000001, 0.0085, 0.8944000000000001, 0.1004, 0.6737000000000001, 0.007500000000000001, 0.9084000000000001, -0.047900000000000005, 0.8971, 0.0033... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.16666666666... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9063) q[0];
rz(-0.0219) q[0];
rx(0.6084) q[1];
rz(0.0102) q[1];
rx(0.898) q[2];
rz(-0.0285) q[2];
rx(0.8944) q[3];
rz(0.1004) q[3];
rx(0.9084) q[4];
rz(-0.0479) q[4];
rx(0.8995) q[5];
rz(-0.0116) q[5];
rx(0.9047) q[6];
rz(-0.0211) q[6];
rx(0.8948) 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": []} |
f0c12db79dee0b687c7216d34d2c80e9 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 6... | {"states": [1, 17], "expectation_value": -5.763756605303336, "params": [[[0.0031000000000000003, 1.0795000000000001], [0.0027, 0.9888], [-0.8002, 0.0014], [0.0027, 1.0959], [0.0025, 1.1812], [0.0027, 1.1308], [1.5843, 0.0032]], [[0.0031000000000000003, 0.002], [0.0027, 0.0076], [-0.8003, 0.0071], [0.0027, 0.0081], [0.0... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(5)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + -0.75 * Z(4) + 0.7... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0031) q[0];
rz(1.0795) q[0];
rx(0.0027) q[1];
rz(0.9888) q[1];
rx(-0.8002) q[2];
rz(0.0014) q[2];
rx(0.0027) q[3];
rz(1.0959) q[3];
rx(0.0025) q[4];
rz(1.1812) q[4];
rx(0.0027) q[5];
rz(1.1308) q[5];
rx(1.5843) q[6];
rz(0.0032) q[6];
rx(0.0031) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
4788755b9046cb997ec5043a21f8c9e6 | 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": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 13, "source": 0, "target": 4}, {"weight": 17, "source": 1, "tar... | {"states": [252, 236], "expectation_value": -24.231375364961362, "params": [[0.036000000000000004, -0.0012000000000000001, -0.035500000000000004, -0.0381], [-0.0494, -0.0431, 0.0083, 0.0495]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.007045313518893991, 0.00932010800... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-98.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.324) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.324) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.324) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.324) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-7340072773834545871 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 6], [0, 8], [1, 3], [0, 3, 6], [4, 5], [0, 2, 5], [1, 5], [8, 5], [8, 2, 6], [4, 7]]} | {"states": [213, 362], "expectation_value": -0.05220703590372241, "params": [[-0.050800000000000005], [0.059000000000000004]], "bitstrings": ["100101010", "010010101"], "total_optimization_steps": 10, "probabilities": [0.0021151607776658207, 0.002123624482243443], "optimization_time": 3.4172451496124268} | 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["010010101"]} | 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[6], q[5];
rz(-0.0508) q[5];
cx q[6], q[5];
cx q[6], q[0];
rz(-0.0169) q[0];
cx q[6], q[0];
cx q[5], q[0];
rz(-0.0169) q[0];
cx q[5], q[0];
cx q[6], q[8];
rz(-0.0169) q[8];
cx q[6], 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[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[6], q[5];
rz(x0) q[5];
cx q[6], q[5];
cx q[6], q[0];
rz(x1) q[0];
cx q[6], q[0];
cx... | null | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [12, 5], "expectation_value": -0.17403152300457053, "params": [[-0.055900000000000005, -0.0408, -0.0357], [0.06670000000000001, 0.054400000000000004, 0.052500000000000005]], "bitstrings": ["110011", "111010"], "total_optimization_steps": 10, "probabilities": [0.018962057094153623, 0.01964475130278001], "opti... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"]} | 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[1];
rz(-0.014) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.014) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-0.014) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.014) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.014... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
94b4685949b0232e6f45bdcd5b80e7ab | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [100, 58], "expectation_value": -0.3352905082289286, "params": [[-0.0516, 0.0086, 0.07930000000000001], [0.07640000000000001, 0.0529, -0.0526]], "bitstrings": ["0011011", "1000101"], "total_optimization_steps": 10, "probabilities": [0.009568644218694073, 0.010125180156120895], "optimization_time": 4.06537032... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -1.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0516) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0516) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0516) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(-0.0516) q[6];
cx q[2], q[6];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 8, "... | {"states": [117, 93], "expectation_value": -25.666185317352564, "params": [[-0.0162, -0.018500000000000003, 0.0002, 0.0047], [0.038200000000000005, 0.0528, 0.058600000000000006, 0.0545]], "bitstrings": ["10001010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.015028734838484398, 0.016628792363452178... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(4)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + -3.0 * Z(0) + 15.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "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[1], q[0];
rz(-0.1296) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.1296) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(-0.1296) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(-0.1296) q[2];
cx q[4], q[2];
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]}"} | {"circuits": [], "gradients": []} |
9994d9c0864e8ab88d6d9169e088b46e | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -5.247406279391271, "params": [[0.0426], [-0.0344]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.005371918593315225, 0.005639283304003293], "optimization_time": 1.8340122699737549} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3408) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3408) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3408) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.3408) q[4];
cx q[0], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
4654484737765472205 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [1, 3, 4, 6], [0, 3, 4, 7], [0, 2, 3, 6, 7], [3, 4, 5, 7], [2, 5], [3, 4, 5, 6]]} | {"states": [223, 207], "expectation_value": -1.33615357467029, "params": [1.1938, 0.0732, 1.1863000000000001, 0.0013000000000000002, 1.1847, -0.2872, 0.9855, 0.0036000000000000003, 0.5263, 0.43420000000000003, 0.5204, 0.0083, 1.1557, -0.10840000000000001, 1.0891, 0.0054, 1.1995, -0.2214, 1.1964000000000001, 0.0085, 1.1... | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.116666666666667, "smallest_bitstrings": ["00110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.1938) q[0];
rz(0.0732) q[0];
rx(1.1847) q[1];
rz(-0.2872) q[1];
rx(0.5263) q[2];
rz(0.4342) q[2];
rx(1.1557) q[3];
rz(-0.1084) q[3];
rx(1.1995) q[4];
rz(-0.2214) q[4];
rx(1.1966) q[5];
rz(-0.0557) q[5];
rx(1.1993) q[6];
rz(0.0097) q[6];
rx(1.197) 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": []} |
2dc2df5fbad2a9e0fc216179a9c5cefa | 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": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.01963835191760481, "params": [[-0.0721], [0.069]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6514227442836617e-05, 1.6514227442836627e-05], "optimization_time": 14.025596380233765} | 0.25 * (Z(0) @ Z(1)) + 0.00012500000000000003 * (Z(2) @ Z(0)) + 0.00012500000000000003 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0010000000000000002 * (Z(4) @ Z(0)) + -0.00075 * (Z(4) @ Z(2)) + -0.0010000000000000002 * (Z(5) @ Z(1)) + -0.00075 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00012500000000000003 * (Z(6) @ ... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.023249999999963], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0232499999999196, "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(-0.036) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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": []} |
8404d93ed4d7eabe69693c9279e1591c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [28, 29], "expectation_value": -3.3358075894750394, "params": [0.0026000000000000003, -0.11410000000000001, 0.1832, 0.2745, 0.0006000000000000001, -0.2711, 0.6083000000000001, 0.0033, 0.6071000000000001, 0.0049, 0.6056, 0.0031000000000000003, -0.0077, 0.30260000000000004, 0.6068, -0.0026000000000000003, 0.00... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -0.5 * Z(7) + -1.0 * Z(6) + 0.0 * Z(3) + -1.0 * Z(2) + 0.0 * Z(4) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["01000111", "10110010", "11100010", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0026) q[0];
rz(-0.1141) q[0];
rx(0.1832) q[1];
rz(0.2745) q[1];
rx(0.0006) q[2];
rz(-0.2711) q[2];
rx(0.6083) q[3];
rz(0.0033) q[3];
rx(0.6071) q[4];
rz(0.0049) q[4];
rx(0.6056) q[5];
rz(0.0031) q[5];
rx(-0.0077) q[6];
rz(0.3026) q[6];
rx(0.6068) 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": []} |
3476127436ef1fc9661302ffcfc97164 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"s... | {"states": [0, 8191], "expectation_value": -50.6127017853449, "params": [[[0.0028, 1.6032000000000002], [0.0018000000000000002, 0.0018000000000000002], [0.0021000000000000003, 0.0019], [0.0018000000000000002, 0.002], [0.002, 0.0021000000000000003], [-0.003, 0.0025], [0.0023, 0.0026000000000000003], [0.00210000000000000... | -3.0 * (Z(0) @ Z(2)) + -3.5 * (Z(4) @ Z(2)) + -3.0 * (Z(4) @ Z(0)) + -3.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(4)) + -3.0 * (Z(6) @ Z(2)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -3.5 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + -3.0 * (Z(1) @ Z(5)) + 1... | 15 | 13 | 1 | {"smallest_eigenvalues": [-54.0, -54.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -52.0, "smallest_bitstrings": ["0000000000000", "0000000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0028) q[0];
ry(0.0018) q[1];
ry(0.0021) q[2];
ry(0.0018) q[3];
ry(0.002) q[4];
ry(-0.003) q[5];
ry(0.0023) q[6];
ry(0.0021) q[7];
ry(0.0026) q[8];
ry(0.0023) q[9];
ry(0.0021) q[10];
ry(0.0031) q[11];
ry(0.0024) q[12];
cx q[12], q[0];
cx q[11], q[12];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 13} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 22], "expectation_value": -3.496398041568179, "params": null, "bitstrings": ["101010", "101001"], "total_optimization_steps": 25, "probabilities": [0.06635196634142619, 0.930327020293955], "optimization_time": 19.47543716430664} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["101001", "101010"]} | 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[2];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-1.0342) q[4], q[5];
ry(0.7003) q[4];
cry(-0.1259) q[3], q[0];
ry(-0.4549) q[5];
cry(0.4962) q[3], q[4];
cry(-0.3788) q[3], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2d66a63516707ef6fa08689003d445e4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [25, 31], "expectation_value": -4.247334017010428, "params": null, "bitstrings": ["100110", "100000"], "total_optimization_steps": 35, "probabilities": [0.24945952058901016, 0.7485756074158377], "optimization_time": 27.730213403701782} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[1];
cry(1.5681) q[1], q[2];
cry(1.5626) q[3], q[4];
cry(1.2164) q[4], q[3];
cry(1.4448) q[1], q[5];
cry(-1.5148) q[5], q[0];
cry(0.0891) q[2], q[5];
cry(-0.0583) q[1], q[0];
cry(0.0117) q[2], q[1];
r... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -3.473756712958944, "params": null, "bitstrings": ["01011", "11001"], "total_optimization_steps": 15, "probabilities": [0.07348052951562349, 0.9007122774688736], "optimization_time": 10.546190023422241} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.1072) q[3], q[2];
cry(-0.0719) q[0], q[3];
cry(-0.00... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
b72451fd8beb69606a84f4be9a392c11 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [125, 1], "expectation_value": -0.8689574654644884, "params": [[0.0522, 0.0078000000000000005], [-0.0504, -0.025500000000000002]], "bitstrings": ["10000010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005413328362241257, 0.005726539632393976], "optimization_time": 3.871904134750366} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(-0.1044) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(-0.1305) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0783) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(-0.0783) q[6];
cx q[0], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4d1240ef072f6b149c3e83e07e8a9609 | 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": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [0, 1], "expectation_value": -15.315187715376082, "params": [0.0028, 0.3482, 0.0023, 0.45690000000000003, 0.0035, 0.369, 0.0039000000000000003, 0.448, 0.0029000000000000002, 0.4435, 0.0025, 0.439, 0.0017000000000000001, 0.30610000000000004, 0.6053000000000001, 0.0039000000000000003, 0.0027, 0.230200000000000... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 4 | 8 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.3482) q[0];
rx(0.0023) q[1];
rz(0.4569) q[1];
rx(0.0035) q[2];
rz(0.369) q[2];
rx(0.0039) q[3];
rz(0.448) q[3];
rx(0.0029) q[4];
rz(0.4435) q[4];
rx(0.0025) q[5];
rz(0.439) q[5];
rx(0.0017) q[6];
rz(0.3061) q[6];
rx(0.6053) q[7];
rz(0.003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
ab0784fbffbb4b626ba9d99841d2b14f | 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": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [1484, 1485], "expectation_value": -4.130549385162148, "params": [[[1.5763, -0.002], [-0.0024000000000000002, 1.4051], [1.5746, -0.0027], [1.5822, 0.0014], [1.5704, 0.0019], [0.0025, -1.0503], [0.2001, -0.8518], [1.5769, -0.0027], [1.574, 0.0019], [0.0028, 1.1225], [0.8619, 0.0036000000000000003]], [[1.5699,... | 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(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.625, -4.625, -4.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.625, "smallest_bitstrings": ["01000110010", "01000101100", "01010000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5763) q[0];
rz(-0.002) q[0];
rx(-0.0024) q[1];
rz(1.4051) q[1];
rx(1.5746) q[2];
rz(-0.0027) q[2];
rx(1.5822) q[3];
rz(0.0014) q[3];
rx(1.5704) q[4];
rz(0.0019) q[4];
rx(0.0025) q[5];
rz(-1.0503) q[5];
rx(0.2001) q[6];
rz(-0.8518) q[6];
rx(1.5769) 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": []} |
da3c81488557dc57e6e1f0bd43d65336 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 41], "expectation_value": -0.13721377217295738, "params": [[-0.057300000000000004, 0.050800000000000005, 0.07], [0.08120000000000001, 0.0207, -0.046900000000000004]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.018666367787921356, 0.01866636778792136], "optimi... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010110", "101001"]} | 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(-0.0573) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0573) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0573) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0573) q[3];
cx q[2], q[3];
cx q[4], 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;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
87ba346715d7ffd469182fcb7e9830c2 | 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": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [17, 19], "expectation_value": -0.8766337467968023, "params": [[-0.0507], [0.057600000000000005]], "bitstrings": ["1101110", "1101100"], "total_optimization_steps": 10, "probabilities": [0.010080599455687676, 0.010371942598897694], "optimization_time": 1.6745727062225342} | -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... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.5, "smallest_bitstrings": ["1101100", "1101110"]} | 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(0.1014) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1268) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0507) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1014) q[4];
cx q[1], q[4];
cx q[0], 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] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
90ed954541db23a75eecb07977c28089 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [28, 3], "expectation_value": -0.6362677252237823, "params": [[0.0073, -0.0463, -0.0337, -0.0454], [-0.0644, 0.0273, 0.030100000000000002, 0.0424]], "bitstrings": ["100011", "111100"], "total_optimization_steps": 10, "probabilities": [0.019385956881098343, 0.01971849301307429], "optimization_time": 6.3857650... | 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(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "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(0.0073) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0073) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0073) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.0073) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.0073... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
3ad034d15769a67626e0c170fe64b71c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [510, 508], "expectation_value": -2.210775447510271, "params": [[-0.0636], [0.06620000000000001]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.0034695636212373673, 0.003472941094464471], "optimization_time": 0.8483963012695312} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -3.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -3.0 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + -3.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["000000011"]} | 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(0.318) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.318) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2544) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3816) q[3];
cx q[1], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}]} | {"states": [26603, 26475], "expectation_value": -7.466049682460257, "params": [[0.13470000000000001, 0.8669, -0.37060000000000004, -0.10360000000000001, 0.5728, 0.1223, 0.8119000000000001, 0.47100000000000003, 0.0094, 1.4553, 0.0026000000000000003, 1.4805000000000001, -0.0106, 1.0982, 0.0287], [2.5556, 2.28130000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 10 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["001100010010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.1347) q[0];
ry(0.8669) q[1];
ry(-0.3706) q[2];
ry(-0.1036) q[3];
ry(0.5728) q[4];
ry(0.1223) q[5];
ry(0.8119) q[6];
ry(0.471) q[7];
ry(0.0094) q[8];
ry(1.4553) q[9];
ry(0.0026) q[10];
ry(1.4805) q[11];
ry(-0.0106) q[12];
ry(1.0982) q[13];
ry(0.0287) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
1530504591674695708 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 5], [2, 7], [3, 6], [2, 4]]} | {"states": [75, 79], "expectation_value": -1.6284788911759618, "params": null, "bitstrings": ["10110100", "10110000"], "total_optimization_steps": 64, "probabilities": [0.08355970514583551, 0.6258941819000132], "optimization_time": 65.07960486412048} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.16666666666666666 * Z(1) + 0.16666666666666666 * Z(0) + 0.16666666666666666 * Z(5) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(3) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 12, "fi... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[2];
cry(-1.0342) q[6], q[3];
ry(0.7003) q[7];
cry(-0.7092) q[4], q[2];
cry(1.1516) q[7], q[4];
ry(0.7003) q[6];
ry(-0.4549) q[3];
cry(0.4694) q[4], q[6];
cry(0.4386) q[4], q[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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
f4058862d2cc91e963663e2c69858d5f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [5, 37], "expectation_value": -3.5353427939993223, "params": [0.16240000000000002, -0.1778, 0.15180000000000002, -0.16820000000000002, 0.39680000000000004, -0.06570000000000001, 0.39880000000000004, -0.0108, 0.1448, 0.097, 0.1394, 0.1776, -0.0005, 0.2044, 0.0009000000000000001, 0.19790000000000002, 0.4036, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 5 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1624) q[0];
rz(-0.1778) q[0];
rx(0.3968) q[1];
rz(-0.0657) q[1];
rx(0.1448) q[2];
rz(0.097) q[2];
rx(-0.0005) q[3];
rz(0.2044) q[3];
rx(0.4036) q[4];
rz(-0.0156) q[4];
rx(-0.0152) q[5];
rz(0.2091) q[5];
rx(0.4052) q[6];
rz(0.0407) q[6];
crz(0.1793) 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": []} |
-3593770171568213761 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [0, 2, 3, 4, 5, 7], [0, 1, 7], [0, 2, 3, 5, 6], [1, 2, 5], [1, 2, 7]]} | {"states": [87, 248], "expectation_value": -0.01201079342807648, "params": [[0.042300000000000004], [-0.0302]], "bitstrings": ["10101000", "00000111"], "total_optimization_steps": 10, "probabilities": [0.003956356973836939, 0.003957033406665486], "optimization_time": 3.3169169425964355} | 0.19999999999999998 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.21666666666666667 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333334 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(6)) + 0.03333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(2) @ Z(3)) + 0.05 * (Z(2) @ Z(6)) + 0.083333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6999999999999997, "smallest_bitstrings": ["00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(0.0169) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(0.0141) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(0.0183) q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(0.0028) q[0];
cx q[4], q[0];
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] 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": []} |
2551666545296015213 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3, 5], [1, 3, 4, 5], [1, 2, 3, 4], [1, 2, 3, 5], [0, 1, 3, 4], [0, 1, 2]]} | {"states": [29, 53], "expectation_value": -1.481701558884616, "params": null, "bitstrings": ["100010", "001010"], "total_optimization_steps": 26, "probabilities": [0.024464252696535342, 0.9414399204868704], "optimization_time": 26.051640272140503} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["001010"]} | 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(1.5298) q[1];
ry(1.1415) q[3];
cry(-0.6319) q[0], q[2];
cry(0.371) q[1], q[3];
cry(-0.4834) q[3], q[4];
ry(0.4704) q[0];
cry(-0.5011) q[1], q[4];
cry(-0.437) q[5], q[2];
cry(0.4895) q[1], q[0];
cry(-0.3817) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5298) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
822068436462374432 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[3, 5], [8, 9], [9, 1], [2, 5], [1, 2], [8, 4], [2, 7], [5, 6], [9, 2], [1, 6], [3, 6], [2, 4], [5, 7], [8, 1], [0, 7], [4, 5], [2, 3], [0, 4], [0, 2], [1, 3], [0, 6], [0, 1], [0, 5], [0, 9]]} | {"states": [305, 309], "expectation_value": -1.3171884199786537, "params": [0.7903, -0.0025, 0.7673, 0.0047, 0.798, 0.0004, 0.7977000000000001, 0.0078000000000000005, 0.7939, 0.00030000000000000003, 0.7658, 0.0045000000000000005, 0.8005, -0.0011, 0.7839, 0.0001, 0.7999, -0.0011, 0.8005, 0.0, 0.806, -0.0033, 0.805, 0.00... | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(6) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101100101", "1011010010", "1010001010", "1011001010", "1011000010", "0100111101", "1010010010", "1010011010", "0100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7903) q[0];
rz(-0.0025) q[0];
rx(0.798) q[1];
rz(0.0004) q[1];
rx(0.7939) q[2];
rz(0.0003) q[2];
rx(0.8005) q[3];
rz(-0.0011) q[3];
rx(0.7999) q[4];
rz(-0.0011) q[4];
rx(0.806) q[5];
rz(-0.0033) q[5];
rx(0.8056) q[6];
rz(-0.0004) q[6];
rx(0.797) 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": []} |
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -8.147964087704082, "params": [[0.0516], [-0.0608]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.01219071621157627, 0.01389460182900079], "optimization_time": 2.2363412380218506} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"]} | 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(0.3096) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3096) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3096) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3096) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
75e38f85452ebc08ee898a0ac8b18be5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target"... | {"states": [18, 5], "expectation_value": -0.35121218922489955, "params": [[-0.0876], [0.0804]], "bitstrings": ["01101", "11010"], "total_optimization_steps": 10, "probabilities": [0.03432648313551957, 0.03627702479555961], "optimization_time": 1.317190408706665} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0876) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0876) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0876) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0876) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0876) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[... | null | {"circuits": [], "gradients": []} |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [1022, 1], "expectation_value": -0.29203841812325804, "params": [[-0.05], [0.056100000000000004]], "bitstrings": ["0000000001", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0011673696222550874, 0.0012087720279339758], "optimization_time": 3.8286044597625732} | -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) @ ... | 1 | 10 | 1 | {"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;
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(0.025) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.05) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.05) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.025) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
8371d10567e2a79675b7c54d9bc2bc4c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [0, 1011], "expectation_value": -8.213612952329457, "params": [-0.5147, 0.7395, 0.3598, 0.8551000000000001, 0.52, 0.786, -0.3934, 0.8508, -0.5078, 0.6337, -0.2306, 0.5555, -0.5087, 0.8013, 0.39840000000000003, 0.8847, -0.5109, 0.9596, 0.397, 1.0514000000000001, -0.5387000000000001, 1.0059, 0.4778, 1.01070000... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) + 0.5 * Z(9) + 0.5 * Z(8) + 0.5 * Z(2) | 6 | 10 | 4 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["0000000000", "0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.5147) q[0];
rz(0.7395) q[0];
rx(0.52) q[1];
rz(0.786) q[1];
rx(-0.5078) q[2];
rz(0.6337) q[2];
rx(-0.5087) q[3];
rz(0.8013) q[3];
rx(-0.5109) q[4];
rz(0.9596) q[4];
rx(-0.5387) q[5];
rz(1.0059) q[5];
rx(-0.0419) q[6];
rz(0.5543) q[6];
rx(-0.5092) 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... | {"node": 6} | {"circuits": [], "gradients": []} |
4421c497e819297a0c75498974257550 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [242, 236], "expectation_value": -10.598928985932353, "params": [[0.0489], [-0.08020000000000001]], "bitstrings": ["100001101", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004614368824717174, 0.004935871038371559], "optimization_time": 1.9953410625457764} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"]} | 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(0.4401) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.4401) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.4401) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.4401) q[2];
cx q[0], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
890b33471c7b86bf74f86cc67359f862 | 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": [2695, 2693], "expectation_value": -131.00860496740034, "params": [2.9913000000000003, 0.0004, 1.2345000000000002, 0.0015, 2.9923, 0.0048000000000000004, 0.0029000000000000002, 0.002, 2.9997000000000003, 0.0046, 0.002, 0.0046, 0.0029000000000000002, 0.0064, 0.0025, 0.0098, 0.0025, 0.0067, 3.0047, 0.009300000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(11) @ Z(1)) + 7.5 * (Z(11) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(2)) + 7.5 * (Z(10) @ Z(11)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(6) @ Z(9)) + 11.5 * Z(1) + 17.5 * Z(0) ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-150.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -133.0, "smallest_bitstrings": ["010101111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.9913) q[0];
rz(0.0004) q[0];
rx(1.2345) q[1];
rz(0.0015) q[1];
rx(2.9923) q[2];
rz(0.0048) q[2];
rx(0.0029) q[3];
rz(0.002) q[3];
rx(2.9997) q[4];
rz(0.0046) q[4];
rx(0.002) q[5];
rz(0.0046) q[5];
rx(0.0029) q[6];
rz(0.0064) q[6];
rx(0.0025) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
da1b1c85f8e653b867f6f4bdba638afa | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [2793, 3817], "expectation_value": -3.110307624401276, "params": [0.3002, 0.006500000000000001, 0.2992, 0.0008, 0.29410000000000003, -0.0189, 0.29400000000000004, -0.0396, 0.299, 0.0037, 0.3039, 0.0022, 0.09430000000000001, 0.1173, 0.0964, 0.11710000000000001, 0.2979, 0.0007, 0.29700000000000004, -0.00240000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 6 | 12 | 3 | {"smallest_eigenvalues": [-4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125, -4.125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -3.125, "smallest_bitstrings": ["010000010110", "010000110001", "000100111000", "001000010110", "100000010110", "000100010110", "010100010010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3002) q[0];
rz(0.0065) q[0];
rx(0.2941) q[1];
rz(-0.0189) q[1];
rx(0.299) q[2];
rz(0.0037) q[2];
rx(0.0943) q[3];
rz(0.1173) q[3];
rx(0.2979) q[4];
rz(0.0007) q[4];
rx(0.301) q[5];
rz(0.003) q[5];
rx(0.3028) q[6];
rz(0) q[6];
rx(-0.1963) q[7];
rz(-0.010... | 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": []} |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -6.991196579376116, "params": [[[0.0013000000000000002, -0.0054], [-0.0002, 0.32380000000000003], [0.0016, 0.0059], [0.0026000000000000003, 0.0029000000000000002], [0.0023, -0.0029000000000000002], [-0.0016, 0.0029000000000000002], [-1.3940000000000001, 0.0025], [0.9883000000... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 15 | 8 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000000", "10000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0013) q[0];
ry(-0.0002) q[1];
ry(0.0016) q[2];
ry(0.0026) q[3];
ry(0.0023) q[4];
ry(-0.0016) q[5];
ry(-1.394) q[6];
ry(0.9883) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
047a6db213ec2347412434e39dcab446 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [445, 316], "expectation_value": -4.122845802827293, "params": [[-0.1768], [0.17120000000000002]], "bitstrings": ["11001000010", "11011000011"], "total_optimization_steps": 20, "probabilities": [0.0016021225292473461, 0.0016021225292473466], "optimization_time": 8.208932161331177} | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 1 | 11 | 1 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[9];
rz(0.1768) q[9];
cx q[2], q[9];
cx q[2], q[10];
rz(0.1768) q[10];
cx q[2], q[10];
cx q[9], q[10];
rz(-0.3536) q[10];
cx q[9], q[10];
cx q[2], q[3];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
84a8721d06b76517fbc388192f90eb37 | 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": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [271, 267], "expectation_value": -6.533767421361129, "params": [0.0039000000000000003, 0.008400000000000001, 0.7947000000000001, 0.7906000000000001, -0.0034000000000000002, 0.0005, 0.0025, 0.0038, 0.1718, 0.1784, -0.00030000000000000003, 0.0007, 0.8038000000000001, 0.8099000000000001, 0.7786000000000001, 0.7... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(9) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -7.5, "smallest_bitstrings": ["0011011110", "0001011111", "1110100101", "1011110100", "1111100001", "1111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0039) q[0];
ry(0.7947) q[1];
ry(-0.0034) q[2];
ry(0.0025) q[3];
ry(0.1718) q[4];
ry(-0.0003) q[5];
ry(0.8038) q[6];
ry(0.7786) q[7];
ry(0.8027) q[8];
ry(0.8115) q[9];
crz(0.0029) q[9], q[0];
crz(0.0025) q[8], q[9];
crz(-0.0014) q[7], q[8];
crz(0.0041) 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": []} |
4f33ca6452c702b5f14e49e545efa87e | 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": 3}, {"weight": 17, "source": 1, "target": 7}, {"weight": 1, "source... | {"states": [214, 206], "expectation_value": -27.020078427879596, "params": null, "bitstrings": ["100101001", "100110001"], "total_optimization_steps": 100, "probabilities": [0.03757435520675859, 0.09540185068686778], "optimization_time": 151.75652813911438} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 6.0 * Z(1) + 0.5 * Z(0) + 13.5 * Z(2) + -4.5 * Z(3) + 14.0 * Z(5) + 9.0 * Z(4)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(22.4081) q[5];
ry(62.9199) q[2];
ry(15.9283) q[4];
ry(3.7548) q[7];
ry(6.3734) q[8];
ry(10.5808) q[6];
cry(7.5852) q[8], q[4];
cry(-4.913) q[2], q[5];
cry(0.0544) q[3], q[2];
cry(0.0362... | null | {"matching": "near_perfect", "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(22.4081) 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] = ... |
4c97295c4d10fd438512879e76a3fa94 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [126, 118], "expectation_value": -46.212358867967204, "params": [0.3874, -0.5860000000000001, 1.5862, -0.0002, 1.5846, -0.0037, 1.5871000000000002, 0.12010000000000001, 0.7772, 0.3945, 1.5817, 0.0021000000000000003, 1.5915000000000001, -0.2404, 0.37460000000000004, -0.5930000000000001, 0.38470000000000004, 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(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3874) q[0];
rz(-0.586) q[0];
rx(1.5862) q[1];
rz(-0.0002) q[1];
rx(1.5846) q[2];
rz(-0.0037) q[2];
rx(1.5871) q[3];
rz(0.1201) q[3];
rx(0.7772) q[4];
rz(0.3945) q[4];
rx(1.5817) q[5];
rz(0.0021) q[5];
rx(1.5915) q[6];
rz(-0.2404) q[6];
rx(0.3746) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7f226d208153dcfb632077c65c1f90bf | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7},... | {"states": [0, 1987], "expectation_value": -13.81094935187613, "params": [0.505, 0.3373, -0.381, 0.0013000000000000002, -0.789, 1.9171, -0.6662, 0.01, -0.9118, 1.1796, 0.2381, 0.006, -0.9553, 0.8926000000000001, 0.6038, 0.0014, -0.9368000000000001, 0.8368, 0.519, 0.001, -0.0025, 0.7343000000000001, 0.0023, 0.0090000000... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(5) @ Z(8)) + 1.0 * (Z(5) @ Z(7)) + 1.0 * (Z(6) @ Z(8)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + -1.5 * (Z(9) @ Z(2)) + -2.0 * (Z(10) @ Z(2)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + ... | 6 | 11 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["00000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.505) q[0];
rz(0.3373) q[0];
rx(-0.789) q[1];
rz(1.9171) q[1];
rx(-0.9118) q[2];
rz(1.1796) q[2];
rx(-0.9553) q[3];
rz(0.8926) q[3];
rx(-0.9368) q[4];
rz(0.8368) q[4];
rx(-0.0025) q[5];
rz(0.7343) q[5];
rx(0.0018) q[6];
rz(0.7181) q[6];
rx(0.0022) 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": 3} | {"circuits": [], "gradients": []} |
6358d823634816a230e720ca61b6d85c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [47, 45], "expectation_value": -1.722556356266588, "params": [0.08560000000000001, 0.0801, 0.0918, 0.0906, 0.5008, 0.5042, -0.0043, 0.0038, 0.498, 0.5007, 0.5005000000000001, 0.4984, 0.3022, 0.3007, 0.5039, 0.5002, 0.07970000000000001, 0.0823, 0.0863, 0.0804, 0.5025000000000001, 0.5039, -0.0044, -0.0004, 0.5... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(7) @ Z(4)) + 0.25 * (Z(6) @ Z(7)) + -0.25 *... | 14 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.25, "smallest_bitstrings": ["01010110", "01010101", "10110001", "10010101", "11010010", "01011100", "10010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0856) q[0];
ry(0.0918) q[1];
ry(0.5008) q[2];
ry(-0.0043) q[3];
ry(0.498) q[4];
ry(0.5005) q[5];
ry(0.3022) q[6];
ry(0.5039) q[7];
crx(0.282) q[7], q[0];
crx(-0.1092) q[6], q[7];
crx(0.0488) q[5], q[6];
crx(0.1206) q[4], q[5];
crx(0.0717) q[3], q[4];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
b03b4f369d39855dc91503bf499dc5a0 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [3705, 3833], "expectation_value": -3.1941089099718143, "params": [[[0.013600000000000001, 0.1391, 0.0021000000000000003, 0.0089], [0.0038, -0.042800000000000005, 1.0502, 0.001], [-0.0281, 0.5764, 0.0653, -0.015000000000000001], [-0.029400000000000003, -0.2651, 1.0982, -0.0171], [1.0901, 0.6016, 1.0857, 0.95... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 11 | 13 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 34, "first_excited_energy": -3.0, "smallest_bitstrings"... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0136) q[0];
rz(0.1391) q[0];
ry(0.0038) q[1];
rz(-0.0428) q[1];
ry(-0.0281) q[2];
rz(0.5764) q[2];
ry(-0.0294) q[3];
rz(-0.2651) q[3];
ry(1.0901) q[4];
rz(0.6016) q[4];
ry(0.8472) q[5];
rz(-0.7627) q[5];
ry(0.2244) q[6];
rz(-0.4288) q[6];
ry(0.0002) 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": []} |
a1d9899df34936ad9ddd849ff23271ff | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 448], "expectation_value": -28.5959768731294, "params": [0.0545, 0.0033, 0.5065000000000001, 0.0026000000000000003, -1.6352, -0.0, 0.0024000000000000002, 0.0067, 0.0025, 0.0002, -0.0025, 0.0015, 0.0025, 0.0111, 0.0025, 0.006500000000000001, 0.0025, 0.0025, 3.0733, 2.6294, -1.1436, 0.0006000000000000001, ... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(3)) + -3.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(7)) + -3.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(7)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(8) @ Z(6)) + 0.5... | 4 | 9 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.0, "smallest_bitstrings": ["000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0545) q[0];
rz(0.0033) q[0];
rx(0.5065) q[1];
rz(0.0026) q[1];
rx(-1.6352) q[2];
rz(0) q[2];
rx(0.0024) q[3];
rz(0.0067) q[3];
rx(0.0025) q[4];
rz(0.0002) q[4];
rx(-0.0025) q[5];
rz(0.0015) q[5];
rx(0.0025) q[6];
rz(0.0111) q[6];
rx(0.0025) q[7];
rz(0.006... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
da62bff661bc86873d0aee1ded709754 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [25, 89], "expectation_value": -4.5318190829412845, "params": [0.0028, 0.6375000000000001, 0.0009000000000000001, 0.6301, 0.4208, 0.14100000000000001, 0.4128, -0.0178, 0.2129, -0.7539, 0.2024, -0.7581, 0.6694, 0.16790000000000002, 0.931, 0.065, 0.7195, -0.0297, 0.9206000000000001, 0.0317, 0.12490000000000001... | 0.5 * (Z(0) @ Z(2)) + 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(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(3) + 0.0... | 5 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["00101110", "10100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.6375) q[0];
rx(0.4208) q[1];
rz(0.141) q[1];
rx(0.2129) q[2];
rz(-0.7539) q[2];
rx(0.6694) q[3];
rz(0.1679) q[3];
rx(0.7195) q[4];
rz(-0.0297) q[4];
rx(0.1249) q[5];
rz(0.7786) q[5];
rx(-0.0324) q[6];
rz(0.3589) q[6];
rx(0.7547) 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": []} |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [126, 63], "expectation_value": -6.249992734363122, "params": null, "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 62, "probabilities": [7.986917857680569e-07, 0.9999977902380801], "optimization_time": 76.95313954353333} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5486) q[5];
ry(1.5486) q[4];
ry(1.5485) q[2];
ry(1.5681) q[1];
cry(1.5708) q[1], q[3];
cry(1.5681) q[1], q[6];
cry(-1.4449) q[6], q[0];
cry(-0.1188) q[3], q[0];
cry(0.0223) q[1], q[2];
cry(0.0222) q[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5486) q[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", "... |
72a8e59921ddbedcfbeaac73650c2f92 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [193, 209], "expectation_value": -5.085737681074326, "params": [0.4057, 0.0012000000000000001, 0.4077, 0.0013000000000000002, 0.4051, 0.0039000000000000003, 0.40890000000000004, 0.0028, -0.0001, 0.2114, -0.0007, 0.2151, 0.3967, 0.10930000000000001, 0.40040000000000003, 0.0001, -0.0123, 0.2087, -0.0151, 0.213... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * Z(4) ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["00101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4057) q[0];
rz(0.0012) q[0];
rx(0.4051) q[1];
rz(0.0039) q[1];
rx(-0.0001) q[2];
rz(0.2114) q[2];
rx(0.3967) q[3];
rz(0.1093) q[3];
rx(-0.0123) q[4];
rz(0.2087) q[4];
rx(-0.0056) q[5];
rz(0.2004) q[5];
rx(-0.0113) q[6];
rz(0.2158) q[6];
rx(0.3984) 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": []} |
05d4b06940bff24c3096bae6afee0602 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [470, 214], "expectation_value": -74.12064796863845, "params": [0.7765000000000001, -0.34640000000000004, 1.4019000000000001, -0.0034000000000000002, 1.3996000000000002, 0.29500000000000004, 0.2235, 0.7977000000000001, 1.3987, 0.0356, -0.0017000000000000001, 0.7588, 1.399, 0.0028, 1.4064, 0.2607, 0.386700000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(5) @ Z(7)) + 10.5 * Z(0) + 14.5 * Z(2) + 15.0 * Z(1) + 10.0 * Z(4) + 0.5 * Z(3) + 14.0 * Z(... | 18 | 9 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7765) q[0];
rz(-0.3464) q[0];
rx(1.4019) q[1];
rz(-0.0034) q[1];
rx(1.3996) q[2];
rz(0.295) q[2];
rx(0.2235) q[3];
rz(0.7977) q[3];
rx(1.3987) q[4];
rz(0.0356) q[4];
rx(-0.0017) q[5];
rz(0.7588) q[5];
rx(1.399) q[6];
rz(0.0028) q[6];
rx(1.4064) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
1c3920daabb0227a05492f21ea1e8a94 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [74, 42], "expectation_value": -1.146102963669843, "params": [[0.0592, 0.0492, 0.0439, -0.0023], [-0.0531, -0.050800000000000005, -0.0441, -0.0269]], "bitstrings": ["0110101", "1010101"], "total_optimization_steps": 10, "probabilities": [0.013530187250249785, 0.013530187250249803], "optimization_time": 8.049... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(4) + -2.0 * Z(6) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110101", "1010101"]} | 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(0.0592) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0592) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0592) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.0592) q[6];
cx q[1], q[6];
cx q[0], q[6];
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": []} |
e9e1c3bad7671d416f508c960af260f6 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -7.249999958339817, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 18, "probabilities": [0.4999999958328442, 0.4999999958328442], "optimization_time": 10.906275510787964} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[2];
ry(-1.5681) q[4];
ry(-1.5486) q[3];
ry(-1.5708) q[5];
cry(-0.0222) q[6], q[3];
cry(-0.0027) q[6], q[2];
cry(-0.0027) q[6], q[4];
c[0] = measure q[0];
c... | 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(1.5706) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
894479305bde5e958cd01ff3ac905165 | 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": [876, 364], "expectation_value": -81.89779120673589, "params": [1.5642, 0.0036000000000000003, 2.8055000000000003, 0.0092, 1.3412000000000002, 0.0034000000000000002, 2.8047, 0.009600000000000001, 2.7954000000000003, 0.0026000000000000003, 0.0022, 0.0049, 2.8042000000000002, 0.0019, 2.7996000000000003, 0.0033... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(3)) + 14.0 * Z(1) + 11.0 * Z(0) + 9.0 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5642) q[0];
rz(0.0036) q[0];
rx(2.8055) q[1];
rz(0.0092) q[1];
rx(1.3412) q[2];
rz(0.0034) q[2];
rx(2.8047) q[3];
rz(0.0096) q[3];
rx(2.7954) q[4];
rz(0.0026) q[4];
rx(0.0022) q[5];
rz(0.0049) q[5];
rx(2.8042) q[6];
rz(0.0019) q[6];
rx(2.7996) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
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