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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [1, 0], "expectation_value": -3.2999224039453154, "params": [0.0001, 0.0921, -0.0023, 0.0881, -0.0044, 0.08370000000000001, 0.0004, 0.0815, -0.0054, 0.052000000000000005, -0.0015, 0.0903, -0.0001, 0.0098, 0.0017000000000000001, 0.0046, -0.002, 0.0012000000000000001, -0.0712, -0.08070000000000001, -0.0697, -0... | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 18 | 3 | 3 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.0001) q[0];
rz(0.0921) q[0];
rx(-0.0023) q[1];
rz(0.0881) q[1];
rx(-0.0044) q[2];
rz(0.0837) q[2];
crz(-0.0712) q[2], q[0];
crz(-0.0697) q[1], q[2];
crz(-0.0807) q[0], q[1];
rx(0.0004) q[0];
rz(0.0815) q[0];
rx(-0.0054) q[1];
rz(0.052) q[1];
rx(-0.0015) 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": 1} | {"circuits": [], "gradients": []} |
c57625ce2de67c1086ad1c24582707c2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [0, 1], "expectation_value": -2.805569528517556, "params": [[[0.0032, 0.4909], [0.6077, 0.0], [0.0029000000000000002, 0.4282], [0.5994, -0.0002], [-0.0029000000000000002, 0.6009], [0.8069000000000001, 0.0037]], [[0.0032, 0.009600000000000001], [0.6071000000000001, 0.0021000000000000003], [0.0022, 0.0022], [0... | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0032) q[0];
rz(0.4909) q[0];
rx(0.6077) q[1];
rz(0) q[1];
rx(0.0029) q[2];
rz(0.4282) q[2];
rx(0.5994) q[3];
rz(-0.0002) q[3];
rx(-0.0029) q[4];
rz(0.6009) q[4];
rx(0.8069) q[5];
rz(0.0037) q[5];
rx(0.0032) q[0];
rz(0.0096) q[0];
rx(0.6071) q[1];
rz(0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-6634949661812369751 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 3], [3, 7], [8, 2], [1, 2, 7], [0, 2, 6], [2, 5, 6], [8, 4, 5], [2, 4, 5], [0, 4], [8, 1, 4], [4, 7], [1, 9], [1, 5], [3, 4], [1, 6], [0, 2, 7], [9, 4]]} | {"states": [575, 543], "expectation_value": -4.368510937796663, "params": [2.6518, -0.0018000000000000002, 0.0027, -0.7722, -0.0021000000000000003, -1.0669, 0.0026000000000000003, 1.5692000000000002, 3.1993, 0.7793, 2.5396, 0.0025, 2.7119, -0.0025, 2.9902, 0.002, 3.1398, -0.5658000000000001, 2.5259, 0.0091, 0.7289, 0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.3333333333333333 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(6) ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-5.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.6518) q[0];
rz(-0.0018) q[0];
rx(0.0027) q[1];
rz(-0.7722) q[1];
rx(-0.0021) q[2];
rz(-1.0669) q[2];
rx(0.0026) q[3];
rz(1.5692) q[3];
rx(3.1993) q[4];
rz(0.7793) q[4];
rx(2.5396) q[5];
rz(0.0025) q[5];
rx(2.7119) q[6];
rz(-0.0025) q[6];
rx(2.9902) 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": []} |
8593b8834e52e999edf6925bd3316e57 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": ... | {"states": [254, 1022], "expectation_value": -11.582057801355694, "params": null, "bitstrings": ["1100000001", "0000000001"], "total_optimization_steps": 100, "probabilities": [0.14106509804430092, 0.4231096224351833], "optimization_time": 153.27839732170105} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0000000001"]} | 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(1.5706) q[7], q[8];
ry(1.056) q[7];
cry(1.5708) q[5], q[6];
ry(1.115) q[5];
ry(0.556) q[6];
ry(0.5144) q[8];
cry(0.402) q[8], q[7];
cry(1.5681) q[4], q[3];
ry(1.0829) q[4];
c... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
595cdcca3d729719a799aeb78423947a | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [31, 30], "expectation_value": -4.227293146253108, "params": [0.32270000000000004, -0.6286, 0.0025, 0.00030000000000000003, 0.20370000000000002, -0.002, 1.7873, 0.0027, 1.8041, -0.0035, 1.8103, -0.0032, 1.7983, -0.0032, 1.2608000000000001, 0.005, 0.4313, -0.0027, -0.19790000000000002, 1.3653, 1.3792, 1.3644,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + 0.0 * Z(6) + -1.0 * Z(7) + -0.5 * Z(3) + 0.0... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111000", "01101001", "00101011", "11110000", "11100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3227) q[0];
rz(-0.6286) q[0];
rx(0.0025) q[1];
rz(0.0003) q[1];
rx(0.2037) q[2];
rz(-0.002) q[2];
rx(1.7873) q[3];
rz(0.0027) q[3];
rx(1.8041) q[4];
rz(-0.0035) q[4];
rx(1.8103) q[5];
rz(-0.0032) q[5];
rx(1.7983) q[6];
rz(-0.0032) q[6];
rx(1.2608) 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": []} |
fca2293c2a9a83d1eeb5cc8ed6acc934 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [23, 116], "expectation_value": -0.19554026706167288, "params": [[-0.010700000000000001, 0.0777], [0.051500000000000004, -0.0557]], "bitstrings": ["1101000", "0001011"], "total_optimization_steps": 10, "probabilities": [0.00884796702531435, 0.008971506640012238], "optimization_time": 6.592051982879639} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0107) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0107) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.0107) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(-0.0107) q[6];
cx q[0], q[6];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
ce16507f4df4b68459e3b5a73265e8de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [510, 1023], "expectation_value": -9.174996504253672, "params": [[[-1.0121, 1.1102], [0.0027, 1.1031], [-0.0028, 0.0031000000000000003], [0.0019, -0.0016], [-0.0018000000000000002, -0.0015], [-0.0015, 0.0014], [-0.0029000000000000002, -0.0018000000000000002], [-0.0031000000000000003, -0.0022], [-0.0029000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(2) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.0121) q[0];
ry(0.0027) q[1];
ry(-0.0028) q[2];
ry(0.0019) q[3];
ry(-0.0018) q[4];
ry(-0.0015) q[5];
ry(-0.0029) q[6];
ry(-0.0031) q[7];
ry(-0.0029) q[8];
ry(-0.0017) 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[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 7} | {"circuits": [], "gradients": []} |
1024677089797442003 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [0, 3], [0, 1]]} | {"states": [17, 20], "expectation_value": -0.016368586241731882, "params": [[0.055200000000000006], [-0.049800000000000004]], "bitstrings": ["01110", "01011"], "total_optimization_steps": 10, "probabilities": [0.03228143188080883, 0.03228143188080883], "optimization_time": 0.32933473587036133} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.5, "smallest_bitstrings": ["01011", "10001", "10100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(0.0552) q[2];
cx q[4], q[2];
cx q[3], q[0];
rz(0.0552) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0552) q[1];
cx q[0], q[1];
rz(0) q[4];
rz(0) q[2];
rz(0) q[3];
rz(0) q[0];
rz(0) q[1];
h q[0];
rz(-0.0996)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
rz(x1) q[4];
rz(x1) q[2];
rz(x1... | null | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | 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": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [26, 11], "expectation_value": -2.9999374806790073, "params": null, "bitstrings": ["00101", "10100"], "total_optimization_steps": 22, "probabilities": [1.6356888979690063e-05, 0.99996874101375], "optimization_time": 13.462154626846313} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4449) q[3];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-0.1259) q[4], q[0];
cry(0.1217) q[3], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[3];
cry(-0.0027) q[4], q[2];
cry(-0.0005... | 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(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
05e37fdcc559b4ea28aee1cdec9b62c6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [13, 28], "expectation_value": -5.496515547877275, "params": null, "bitstrings": ["1110010", "1100011"], "total_optimization_steps": 26, "probabilities": [0.06700896400246145, 0.9297460623246107], "optimization_time": 26.97836685180664} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -2.5 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011010", "1100011", "0101011", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[1];
ry(-1.4449) q[0];
ry(1.4449) q[4];
ry(1.4417) q[3];
cry(-1.0398) q[2], q[6];
ry(0.7022) q[2];
ry(-0.4578) q[6];
cry(0.497) q[4], q[2];
cry(-0.3761) q[4], q[6];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d7a525ce4c2e3aa682dbfbc5ee640032 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [19, 67], "expectation_value": -0.5018265259605128, "params": [[0.0674, 0.0534], [-0.0743, -0.059500000000000004]], "bitstrings": ["1101100", "0111100"], "total_optimization_steps": 10, "probabilities": [0.01006342173574264, 0.01006342173574265], "optimization_time": 2.5606629848480225} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0674) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0674) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0674) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0674) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
6e936c9031f4ef335042a74fa41c3e34 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [0, 1], "expectation_value": -2.515493927409897, "params": [[[0.0033, 0.0036000000000000003], [0.0023, 0.0044], [-0.0027, 0.001], [0.0026000000000000003, 0.0016], [0.0023, 0.0025], [0.0027, 0.0024000000000000002], [1.6018000000000001, 0.0011]]], "bitstrings": ["1111111", "1111110"], "total_optimization_steps... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1000000", "1100000", "1010100", "1100010", "1100100", "1010000", "1100110", "1000100", "1110000", "1110010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.0036) q[0];
rx(0.0023) q[1];
rz(0.0044) q[1];
rx(-0.0027) q[2];
rz(0.001) q[2];
rx(0.0026) q[3];
rz(0.0016) q[3];
rx(0.0023) q[4];
rz(0.0025) q[4];
rx(0.0027) q[5];
rz(0.0024) q[5];
rx(1.6018) q[6];
rz(0.0011) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [41, 56], "expectation_value": -0.13338740046475275, "params": [[0.038200000000000005, 0.0164, -0.0148], [-0.0461, -0.033800000000000004, -0.0171]], "bitstrings": ["010110", "000111"], "total_optimization_steps": 10, "probabilities": [0.01696717888490181, 0.016967178884901818], "optimization_time": 3.1946852... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.0382) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0382) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.0382) q[3];
cx q[1], q[3];
cx q[4], q[5];
rz(0.0382) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.0382... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
8d8fa5ee6a82ad17d0d6120aef30e861 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6... | {"states": [49, 1], "expectation_value": -0.16773315676704964, "params": [[0.0354], [-0.0354]], "bitstrings": ["1001110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.008446192946913435, 0.008568313969178138], "optimization_time": 1.5382394790649414} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(4)) + -1.25 * (Z(5) @ Z(3)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -1.5 * Z(4) + 2.25 * Z(6) + 1.5 * Z(1) + -1.25 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.75, -11.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.75, "smallest_bitstrings": ["1111110", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0354) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0708) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0531) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(-0.0177) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9a4ba729115cab9e89cb59ee0f761092 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.7078732130547427, "params": [[1.4303000000000001, 0.1948, 1.5863, 0.2029, 1.5664, 0.24200000000000002, 1.6680000000000001, 1.5433000000000001, 0.2157, 1.5828, 0.1782, 1.5756000000000001, 0.18610000000000002, 1.618, 0.2073, 0.2417], [1.6885000000000001, 0.21450000000000... | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0231249999999728], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231249999999554, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.4303) q[0];
ry(0.1948) q[1];
ry(1.5863) q[2];
ry(0.2029) q[3];
ry(1.5664) q[4];
ry(0.242) q[5];
ry(1.668) q[6];
ry(1.5433) q[7];
ry(0.2157) q[8];
ry(1.5828) q[9];
ry(0.1782) q[10];
ry(1.5756) q[11];
ry(0.1861) q[12];
ry(1.618) q[13];
ry(0.2073) q[14];
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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [8, 14], "expectation_value": -2.4999718231256973, "params": null, "bitstrings": ["0111", "0001"], "total_optimization_steps": 16, "probabilities": [1.3834265383317198e-05, 0.9999858819924374], "optimization_time": 5.773272752761841} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["0001"]} | 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(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[1], q[2];
cry(0.1188) q[2], q[0];
cry(0.1186) q[0], q[1];
cry(-0.0027) q[2], q[3];
cry(0.0072) q[0], q[2];
cry(0.0067) q[1], q[0];
cry(0.0067) q[... | 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(-1.5681) q[3];\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];\... |
0e21e7e272bb4d7e74d44274b1d28420 | 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": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [356, 357], "expectation_value": -3.752112884112246, "params": [0.7036, -0.0, 0.7016, 0.001, 0.2159, 0.0031000000000000003, 0.1365, 0.0085, 0.7006, -0.0011, 0.7056, 0.001, 0.7026, -0.0007, 0.7045, 0.0056, 0.6964, -0.0037, 0.2874, 0.0013000000000000002, 0.7086, 0.0035, 0.6961, 0.0028, 0.7038, -0.0009000000000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + -1.5 * Z(1) + -1.5 * Z(5) + 0.0 * Z(6)... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["010010011", "010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7036) q[0];
rz(0) q[0];
rx(0.2159) q[1];
rz(0.0031) q[1];
rx(0.7006) q[2];
rz(-0.0011) q[2];
rx(0.7026) q[3];
rz(-0.0007) q[3];
rx(0.6964) q[4];
rz(-0.0037) q[4];
rx(0.7086) q[5];
rz(0.0035) q[5];
rx(0.7038) q[6];
rz(-0.0009) q[6];
rx(0.6993) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6c729dfd5e7001e3a38620bc1dd3c2de | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [45, 39], "expectation_value": -0.4301564721260429, "params": [[-0.0546, -0.0589], [0.0651, 0.0631]], "bitstrings": ["1010010", "1011000"], "total_optimization_steps": 10, "probabilities": [0.010426600023824405, 0.01068703337174006], "optimization_time": 3.0690016746520996} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(3) + -1.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(6) + -1.5 * Z(2) + 0.0 * Z(1) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1011000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0546) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0546) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.0546) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0546) q[5];
cx q[0], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [7918, 6894], "expectation_value": -3.1668592290817568, "params": [[[1.7423000000000002, 0.008400000000000001, 0.0025, 0.0034000000000000002], [0.2409, -0.0041, 1.4767000000000001, 0.0092], [1.5873000000000002, 0.008400000000000001, 0.0079, 0.0066], [0.3972, 0.0006000000000000001, 1.3495000000000001, 0.0079]... | 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 * (... | 12 | 13 | 1 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -3.4375, "smallest_bitstrings": ["0010110000001", "001010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.7423) q[0];
rz(0.0084) q[0];
ry(0.2409) q[1];
rz(-0.0041) q[1];
ry(1.5873) q[2];
rz(0.0084) q[2];
ry(0.3972) q[3];
rz(0.0006) q[3];
ry(0.0021) q[4];
rz(0.004) q[4];
ry(1.048) q[5];
rz(0.0026) q[5];
ry(1.807) q[6];
rz(0.0057) q[6];
ry(0.1777) 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": []} |
135981e0ed720862b340e5f4f8aff5ed | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [1011, 1023], "expectation_value": -0.9029659575492401, "params": [[-0.054], [0.0668]], "bitstrings": ["0000001100", "0000000000"], "total_optimization_steps": 10, "probabilities": [0.0014180727728532708, 0.0014180727728532714], "optimization_time": 0.7080540657043457} | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000000000", "0000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(0.216) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.27) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.216) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(-0.054) q[1];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q... | {"node": 6} | {"circuits": [], "gradients": []} |
1482f4f5abcf5f1c29a93218e5aedf4b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, ... | {"states": [39, 3], "expectation_value": -0.126778367192402, "params": [[-0.0414], [0.0458]], "bitstrings": ["11011000", "11111100"], "total_optimization_steps": 10, "probabilities": [0.004269831682830995, 0.004300870245105791], "optimization_time": 1.785510778427124} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(5) @ Z(2)) + -1.0 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(7) + -1.25 * Z(3) + 0.25 * Z(4) + -0.5 * Z(2) + 1.0 * Z(5) + 1.5 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11011000", "11111100", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0414) q[0];
cx q[1], q[0];
cx q[0], q[7];
rz(-0.0621) q[7];
cx q[0], q[7];
cx q[1], q[3];
rz(0.0414) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.1242) q[4];
cx q[1], q[4];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1a8155b224db54664a68f055f033253f | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 1, "target": 3}]} | {"states": [55230, 47070], "expectation_value": -7.968511362329116, "params": [[-0.07, -0.0224, -0.0599, -0.0862], [0.076, 0.028800000000000003, 0.0405, 0.060500000000000005]], "bitstrings": ["0010100001000001", "0100100000100001"], "total_optimization_steps": 10, "probabilities": [0.0001145654811450996, 0.000114565481... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7)... | 1 | 16 | 4 | {"smallest_eigenvalues": [-18.49999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.49999999999981, "smallest_bitstrings": ["0100100000100001"]} | 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[0], q[2];
rz(-0.07) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.07) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.07) q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 3}]}} | {"circuits": [], "gradients": []} |
9e72b7dd0d69a46b7f007aaed5517323 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [17, 26], "expectation_value": -0.003260253213877887, "params": [[-0.012700000000000001], [0.0177]], "bitstrings": ["101110", "100101"], "total_optimization_steps": 10, "probabilities": [0.015681278405281492, 0.01570941930560148], "optimization_time": 1.9225375652313232} | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["100101"]} | 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(-0.0127) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0032) q[2];
cx q[1], q[2];
cx q[4], q[1];
rz(-0.0032) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.0032) q[3];
cx q[1], q[3];
cx q[4], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
c... | null | {"circuits": [], "gradients": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | 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": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -2.2576382950779825, "params": [[-0.0604, -0.0687], [0.0707, 0.0658]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.008495674425043717, 0.010209163926470784], "optimization_time": 3.1192126274108887} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0906) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(0.1812) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.151) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(0.0302) q[1];
cx q[5], q[1];
cx q[5], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
413719666230451686 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 3, 4, 5], [1, 11, 9, 7], [10, 5], [0, 1, 7, 9, 10], [2, 6], [8, 7]]} | {"states": [3991, 3987], "expectation_value": -1.532716154967578, "params": [0.8009000000000001, 0.8641000000000001, 1.2933000000000001, 1.2863, 1.3023, 1.2932000000000001, 1.2997, 1.2957, 1.2993000000000001, 1.2993000000000001, 0.3219, 0.3372, 0.2843, 0.2454, 1.3008, 1.2954, 0.4728, 0.2851, 0.8792000000000001, 0.68980... | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(11)) + 0.08333333333333333 * (Z(9) @ Z(11)) + 0.133333333333... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2, -2.2], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.1999999999999997, "smallest_bitstrings": ["100001101100", "000001101100", "011000001010", "110001101000", "010100101010", "010010101010", "01000... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.8009) q[0];
ry(1.2933) q[1];
ry(1.3023) q[2];
ry(1.2997) q[3];
ry(1.2993) q[4];
ry(0.3219) q[5];
ry(0.2843) q[6];
ry(1.3008) q[7];
ry(0.4728) q[8];
ry(0.8792) q[9];
ry(1.3008) q[10];
ry(1.1514) q[11];
crx(0.5974) q[11], q[0];
crx(1.2824) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5d4156bcf03d96be249adb6f40939435 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 0, "target": 4}, {"weight": 2, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -11.13472212997743, "params": [[-0.042800000000000005], [0.0707]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00406945344529841, 0.004622009385383993], "optimization_time": 2.1623899936676025} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3852) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3852) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3852) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.3852) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 86.95196652412415} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 18 | 7 | 2 | {"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];
ry(-1.5577) q[1];
cry(-1.5708) q[6], q[3];
ry(0.8469) q[6];
cry(-1.5708) q[5], q[2];
cry(-1.5707) q[4], q[0];
ry(1.1096) q[4];
ry(-0.4548) q[0];
ry(0.8206) q[5];
ry(-0.3832) q[3];
ry(-0.335) q[2];
cry(0.4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -1.0847854971372195, "params": [[0.0722, 0.07100000000000001, 0.0732], [-0.069, -0.0714, -0.0732]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.018624269348222894, 0.019318197518573204], "optimization_time": 6.3234474658966064} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1000000", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0361) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0722) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0722) q[1];
cx q[6], q[1];
cx q[3], q[2];
rz(-0.0361) q[2];
cx q[3], q[2];
cx 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
1bfab1c4d5c093616acd865a51313487 | 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": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 4, "... | {"states": [4032, 4092], "expectation_value": -15.319602696164356, "params": [-2.8366000000000002, -0.30110000000000003, -0.049800000000000004, 0.0436, -1.7485000000000002, -1.3773, -0.0012000000000000001, -0.008400000000000001, -0.7104, 0.3109, -1.3375000000000001, 1.3524, 0.9203, 0.921, -0.0207, 0.08990000000000001, ... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0)... | 14 | 12 | 1 | {"smallest_eigenvalues": [-17.5, -17.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000", "000000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-2.8366) q[0];
ry(-0.0498) q[1];
ry(-1.7485) q[2];
ry(-0.0012) q[3];
ry(-0.7104) q[4];
ry(-1.3375) q[5];
ry(0.9203) q[6];
ry(-0.0207) q[7];
ry(-0.0026) q[8];
ry(-0.0027) q[9];
ry(0.016) q[10];
ry(0.0026) q[11];
crx(1.6901) q[11], q[0];
crx(0.2529) 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": 10} | {"circuits": [], "gradients": []} |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [16, 1], "expectation_value": -6.193832856874677, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 16, "probabilities": [0.16217477587726464, 0.8147160154427896], "optimization_time": 7.778597354888916} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
cry(-1.5681) q[4], q[0];
ry(1.111) q[4];
ry(-0.4823) q[0];
ry(-1.5486) q[2];
ry(-1.5628) q[1];
cry(-0.2079) q[0], q[4];
cry(-0.0222) q[4], q[2];
cry(-0.0079) q[4], q[1];
cry(-0.0161) q[0], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
1a9ed9a666e19120fea8169482f67ae7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -77.8398842669329, "params": [1.5149000000000001, 0.0009000000000000001, 3.0951, 0.009300000000000001, 3.0902000000000003, 0.0067, 3.0872, 0.007200000000000001, 3.0894000000000004, 0.0018000000000000002, 0.6511, 0.0002, 3.0996, 0.0, 0.2823, 0.0027, 0.8567, 0.00960000000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5149) q[0];
rz(0.0009) q[0];
rx(3.0951) q[1];
rz(0.0093) q[1];
rx(3.0902) q[2];
rz(0.0067) q[2];
rx(3.0872) q[3];
rz(0.0072) q[3];
rx(3.0894) q[4];
rz(0.0018) q[4];
rx(0.6511) q[5];
rz(0.0002) q[5];
rx(3.0996) q[6];
rz(0) q[6];
rx(0.2823) q[7];
rz(0.0027)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
b5e7e2797d8b3a448650a56d35ed7f4a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": 2, ... | {"states": [21, 1], "expectation_value": -0.4313106907721322, "params": [[-0.0592], [0.0599]], "bitstrings": ["11101010", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00494212415301328, 0.005164211256592474], "optimization_time": 2.2937748432159424} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + -0.75 * Z(6) + -0.75... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0592) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0296) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0592) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(0.2664) q[6];
cx q[2], q[6];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
885716898637697417 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 2, 3, 6, 8, 10], [3, 4, 6], [1, 2, 5, 6, 7, 10, 11], [3, 7, 8, 9, 10], [0, 9, 6], [1, 2, 5, 7, 8, 10, 11], [0, 4, 6, 7, 8, 10, 11], [11, 3], [0, 1, 2, 5, 6, 7, 10], [0, 2, 4, 5, 6, 10, 11], [0, 2, 5, 8, 10], [0, 1, 5, 8, 9, 11], [9, 10, 1], [3, 5], [1... | {"states": [239, 751], "expectation_value": -3.9983269506174217, "params": [[[0.7224, 0.0025], [0.7737, 0.0022], [1.6418000000000001, 0.0055000000000000005], [0.0813, 0.0035], [3.1444, 0.009600000000000001], [3.1448, 0.005], [3.1448, 0.0043], [1.2972000000000001, 0.0001], [3.1438, 0.0017000000000000001], [3.13690000000... | 0.15595238095238093 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.1226190476190476 * (Z(6) @ Z(2)) + 0.09880952380952379 * (Z(6) @ Z(1)) + 0.19999999999999998 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(2)) + 0.15833333333333333 * (Z(8) @ Z(1)) + 0.08333333333333334 * (Z(8) @ Z... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.335714285714286], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.286904761904762, "smallest_bitstrings": ["110100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7224) q[0];
rz(0.0025) q[0];
rx(0.7737) q[1];
rz(0.0022) q[1];
rx(1.6418) q[2];
rz(0.0055) q[2];
rx(0.0813) q[3];
rz(0.0035) q[3];
rx(3.1444) q[4];
rz(0.0096) q[4];
rx(3.1448) q[5];
rz(0.005) q[5];
rx(3.1448) q[6];
rz(0.0043) q[6];
rx(1.2972) 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": []} |
-9113301954828505956 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4], [0, 6], [8, 5], [0, 3], [1, 5, 6], [0, 2, 7], [8, 1, 7], [2, 3, 5], [0, 5], [1, 2], [8, 6], [4, 6, 7], [2, 5, 7], [0, 1], [1, 3, 7], [8, 3], [1, 4, 6]]} | {"states": [339, 174], "expectation_value": -0.16724259004532852, "params": [[0.0741], [-0.0679]], "bitstrings": ["010101100", "101010001"], "total_optimization_steps": 10, "probabilities": [0.002322165523269154, 0.0023975479353114944], "optimization_time": 4.320629119873047} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.1666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(0.0741) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(0.0741) q[0];
cx q[3], q[0];
cx q[4], q[6];
rz(0.0494) q[6];
cx q[4], q[6];
cx q[0], q[6];
rz(0.0741) q[6];
cx q[0], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[3], q[0];
rz(x0) q[0... | null | {"circuits": [], "gradients": []} |
ad4c51642c3f9e57b268fa357afe797e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [217, 153], "expectation_value": -4.549450598853664, "params": [0.9104000000000001, 0.0021000000000000003, 0.6895, -0.1938, 0.0427, -0.4446, 0.8934000000000001, -0.002, 0.9073, 0.0006000000000000001, 0.053700000000000005, 0.3134, 0.0386, 0.38770000000000004, 0.9037000000000001, 0.001, 0.9051, 0.0285, 0.5978,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.5 * Z(6) + -0.5 * Z(3) + ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100110", "00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9104) q[0];
rz(0.0021) q[0];
rx(0.6895) q[1];
rz(-0.1938) q[1];
rx(0.0427) q[2];
rz(-0.4446) q[2];
rx(0.8934) q[3];
rz(-0.002) q[3];
rx(0.9073) q[4];
rz(0.0006) q[4];
rx(0.0537) q[5];
rz(0.3134) q[5];
rx(0.0386) q[6];
rz(0.3877) q[6];
rx(0.9037) 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": []} |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | 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": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -40.830162246526605, "params": [-0.47640000000000005, -0.0023, -0.5045000000000001, -0.0979, -0.48350000000000004, 0.045000000000000005, -0.5091, 0.005200000000000001, -0.0048000000000000004, 1.2862, -0.0007, 0.9631000000000001, 0.1764, 0.9207000000000001, -0.31670000000000004,... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 6 | 9 | 2 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.4764) q[0];
rz(-0.0023) q[0];
rx(-0.4835) q[1];
rz(0.045) q[1];
rx(-0.0048) q[2];
rz(1.2862) q[2];
rx(0.1764) q[3];
rz(0.9207) q[3];
rx(-0.21) q[4];
rz(0.618) q[4];
rx(-0.0041) q[5];
rz(1.2983) q[5];
rx(0.0034) q[6];
rz(0.9688) q[6];
rx(0.0044) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
4f9c1bb9cc86662913da6ad2a3367139 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1009, 1019], "expectation_value": -0.05402814682293386, "params": [[-0.0162], [0.008700000000000001]], "bitstrings": ["0000001110", "0000000100"], "total_optimization_steps": 10, "probabilities": [0.0009969832164415172, 0.0009975466799710343], "optimization_time": 1.9635865688323975} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + -1.5 * (Z(6) @ Z(8)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) +... | 5 | 10 | 1 | {"smallest_eigenvalues": [-21.0, -21.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -20.0, "smallest_bitstrings": ["0000000100", "0000001110"]} | 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(0.081) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.081) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0648) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.081) 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;
input float[64] x5;
input float[64] x6;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q... | {"node": 5} | {"circuits": [], "gradients": []} |
a81a167158580bb999f8e68ace712ae9 | 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": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1... | {"states": [122, 63], "expectation_value": -5.127794985485924, "params": null, "bitstrings": ["0000101", "1000000"], "total_optimization_steps": 52, "probabilities": [0.20957780762037564, 0.7042868365108161], "optimization_time": 49.8320426940918} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(2) + -0.75 * Z(3) + -0.25 * Z(4) + -0.25 * Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[2];
ry(1.5486) q[1];
cry(1.5681) q[2], q[5];
cry(1.4449) q[6], q[4];
cry(1.5482) q[1], q[3];
cry(1.1758) q[4], q[6];
cry(-1.3013) q[6], q[0];
cry(0.35) q[1], q[0];
cry(-0.5362) q[4], q[0];
ry... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -1.7498598566152803, "params": null, "bitstrings": ["100011", "110001"], "total_optimization_steps": 40, "probabilities": [0.07847302400775502, 0.672570709162398], "optimization_time": 35.422091007232666} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.3016) q[2], q[5];
cry(-1.3016) q[4], q[1];
cry(-1.1919) q[3], q[0];
ry(0.6705) q[2];
ry(-0.4657) q[5];
ry(0.6671) q[4];
ry(-0.4281) q[1];
cry(0.654) q[2], q[3];
cry(0.4958) q[2], q[4];
cry(0.4877) q[4], 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];\ncry(-1.3016) q[2], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
1dcb3c744ddd55658248ce3c7196418c | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [7, 6], "expectation_value": -0.044519007358964025, "params": [[0.06720000000000001], [-0.0609]], "bitstrings": ["000", "001"], "total_optimization_steps": 10, "probabilities": [0.12999572797330747, 0.1321363743179152], "optimization_time": 1.3118479251861572} | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 5 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.1344) q[0];
cx q[1], q[0];
rz(0.0672) q[1];
rz(0.0672) q[0];
rz(-0.0672) q[2];
h q[0];
rz(-0.1218) q[0];
h q[0];
h q[1];
rz(-0.1218) q[1];
h q[1];
h q[2];
rz(-0.1218) q[2];
h q[2];
c[0] = measure q[0];
c[1] = measur... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[1];
rz(x1) q[0];
rz(x2) q[2];
h q[0];
rz(x3) q[0];
h q[0];
h q[1];
rz(x3) q[1];
h q[1];
h q[2];
rz(x3) q... | {"node": 2} | {"circuits": [], "gradients": []} |
7750233873703748455 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 5, 6], [1, 5], [1, 6], [0, 4], [0, 3, 5], [0, 1, 2]]} | {"states": [90, 91], "expectation_value": -0.7282292229516308, "params": [1.0003, -0.1211, 0.9993000000000001, 0.0048000000000000004, 0.7768, -0.23670000000000002, 0.7755000000000001, 0.0022, 1.0013, -0.0761, 1.0001, 0.0092, 1.006, -0.0334, 0.9994000000000001, 0.0001, 0.5927, 0.22110000000000002, 0.5926, 0.002600000000... | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16... | 5 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333332, "smallest_bitstrings": ["0110100", "0100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0003) q[0];
rz(-0.1211) q[0];
rx(0.7768) q[1];
rz(-0.2367) q[1];
rx(1.0013) q[2];
rz(-0.0761) q[2];
rx(1.006) q[3];
rz(-0.0334) q[3];
rx(0.5927) q[4];
rz(0.2211) q[4];
rx(0.9957) q[5];
rz(-0.2152) q[5];
rx(0.9914) q[6];
rz(-0.231) q[6];
crz(-0.2336) 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": []} |
3fe92e519bb46ea2db5f298e8e212a34 | 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": [1194, 1130], "expectation_value": -114.29512463410167, "params": [[0.0029000000000000002, 0.7885000000000001, -0.0224, 0.0043, 0.3779, 0.2805, 0.7955, 0.16, 0.7897000000000001, 0.0407, 0.7939, -0.0031000000000000003], [0.003, 0.7952, -0.0587, 0.0014, 0.3794, 0.7964, 0.8026000000000001, 0.1887, 0.78750000000... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(9)) + 8.0 * (Z(11) @ Z(10)) + 2.0 * Z(1) + -5.0 * Z(2) + 7.0 * Z(5) + 1.0 * Z(4) + 16.0 * Z(6) + 11.5 * ... | 10 | 12 | 3 | {"smallest_eigenvalues": [-147.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -133.0, "smallest_bitstrings": ["101110010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0029) q[0];
ry(0.7885) q[1];
ry(-0.0224) q[2];
ry(0.0043) q[3];
ry(0.3779) q[4];
ry(0.2805) q[5];
ry(0.7955) q[6];
ry(0.16) q[7];
ry(0.7897) q[8];
ry(0.0407) q[9];
ry(0.7939) q[10];
ry(-0.0031) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz 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, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
-6721001778240162244 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 2, 10], [0, 6], [0, 1], [3, 5], [2, 4], [0, 7], [8, 2], [0, 11], [0, 12]]} | {"states": [1902, 4241], "expectation_value": -2.763230886648637, "params": [[[1.5682, 0.8275], [-1.5750000000000002, 1.5691000000000002], [-0.004200000000000001, 1.5693000000000001], [-0.0029000000000000002, -0.0034000000000000002], [-0.0161, 0.018000000000000002], [1.6612, 1.485], [-1.4037000000000002, 1.5566], [-1.2... | 0.16666666666666666 * (Z(12) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666674 * Z(5)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333, -4.333333333333333], "number_of_smallest_eigenvalues": 12, "first_excited_... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5682) q[0];
ry(-1.575) q[1];
ry(-0.0042) q[2];
ry(-0.0029) q[3];
ry(-0.0161) q[4];
ry(1.6612) q[5];
ry(-1.4037) q[6];
ry(-1.2721) q[7];
ry(1.5653) q[8];
ry(1.5707) q[9];
ry(1.5727) q[10];
ry(1.5659) q[11];
ry(1.5645) q[12];
cx q[12], q[0];
cx 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[... | null | {"circuits": [], "gradients": []} |
784a7d1914642d32b8d9e24da5ce100e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [52, 56], "expectation_value": -3.9963978611297515, "params": null, "bitstrings": ["1001011", "1000111"], "total_optimization_steps": 29, "probabilities": [0.06635232627248393, 0.9303264936654667], "optimization_time": 24.676212072372437} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001011", "1000111", "1111000", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[0];
ry(-1.5681) q[6];
ry(-1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[2];
cry(-1.0343) q[3], q[4];
ry(0.7003) q[3];
cry(-0.1259) q[2], q[5];
ry(-0.4549) q[4];
cry(0.4962) q[2], q[3];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
c4fd4922d2c165ab37a0955c733d543f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -26.373436907809214, "params": [[-0.0417, 0.007500000000000001, 0.005], [0.07980000000000001, 0.0646, 0.062]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015497681427187689, 0.016594813155604474], "optimization_time": 6.0793576... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3336) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3336) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3336) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.3336) q[3];
cx q[4], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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": 2, "target"... | {"states": [2, 1], "expectation_value": -7.776781023107669, "params": [[-0.0341, -0.0502, -0.0115], [0.043500000000000004, 0.062, 0.0438]], "bitstrings": ["11101", "11110"], "total_optimization_steps": 10, "probabilities": [0.06028802835580021, 0.06258837094497474], "optimization_time": 3.011160373687744} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 10 | 5 | 3 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1535) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1535) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1535) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1535) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1535) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} |
8a7e976ee8683f3a83557d9b2510d791 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -23.037685601575653, "params": [-0.0523, 0.0043, -0.038700000000000005, 0.0028, -0.0034000000000000002, 0.23, -0.0011, 0.23270000000000002, 0.3025, 0.002, 0.3008, 0.002, -0.008700000000000001, 0.1859, -0.004200000000000001, 0.193, -0.0039000000000000003, 0.216, -0.0034000000000... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -1.25 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(5)) + 4.75 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(5)) + -1.75 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z... | 6 | 11 | 3 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0523) q[0];
rz(0.0043) q[0];
rx(-0.0034) q[1];
rz(0.23) q[1];
rx(0.3025) q[2];
rz(0.002) q[2];
rx(-0.0087) q[3];
rz(0.1859) q[3];
rx(-0.0039) q[4];
rz(0.216) q[4];
rx(0.0143) q[5];
rz(0.1332) q[5];
rx(-0.0019) q[6];
rz(0.2289) q[6];
rx(-0.0005) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
-5940538871647644883 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [0, 2, 4, 5, 6, 7], [0, 3], [3, 4], [0, 1, 2, 5], [0, 1, 4, 5, 7]]} | {"states": [237, 233], "expectation_value": -1.3308336945478618, "params": [1.2033, -0.2679, 1.1995, 0.002, 1.1923000000000001, -0.036000000000000004, 1.1972, 0.0026000000000000003, 1.1973, -0.2164, 1.1664, 0.0077, 0.3911, 0.46890000000000004, 0.3916, 0.0028, 1.1991, -0.216, 1.2, 0.0055000000000000005, 1.1109, -0.18810... | 0.5 * (Z(1) @ Z(6)) + 0.03333333333333333 * (Z(0) @ Z(6)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(0)) + 0.0333333... | 5 | 8 | 1 | {"smallest_eigenvalues": [-2.1500000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1166666666666663, "smallest_bitstrings": ["00010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2033) q[0];
rz(-0.2679) q[0];
rx(1.1923) q[1];
rz(-0.036) q[1];
rx(1.1973) q[2];
rz(-0.2164) q[2];
rx(0.3911) q[3];
rz(0.4689) q[3];
rx(1.1991) q[4];
rz(-0.216) q[4];
rx(1.1109) q[5];
rz(-0.1881) q[5];
rx(0.5674) q[6];
rz(-0.3986) q[6];
rx(1.196) 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": []} |
918d0720354f72593c99e149eea5ed01 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [1962, 1966], "expectation_value": -3.412320934770161, "params": [[[1.5691000000000002, 0.0016], [1.5199, -0.0029000000000000002], [1.6037000000000001, -0.0024000000000000002], [1.5074, 0.0019], [1.3698000000000001, -0.0027], [-0.0047, -0.0022], [0.48510000000000003, -0.6809000000000001], [-0.1479, 0.5371], ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 15 | 12 | 2 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -2.9375, "smallest_bitstrings": ["001010001001", "1000010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.5691) q[0];
ry(1.5199) q[1];
ry(1.6037) q[2];
ry(1.5074) q[3];
ry(1.3698) q[4];
ry(-0.0047) q[5];
ry(0.4851) q[6];
ry(-0.1479) q[7];
ry(-0.1101) q[8];
ry(1.3513) q[9];
ry(-0.1088) q[10];
ry(0.5413) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
88eb2d3d9a24331dace21487175a71d2 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target":... | {"states": [566, 567], "expectation_value": -5.544750721079184, "params": [[[1.6142, 0.0013000000000000002, 0.007200000000000001, 0.003], [0.0041, -0.3573, 0.0027, 0.0035], [-0.0017000000000000001, 0.0018000000000000002, 0.0079, 0.0088], [0.0019, 0.9701000000000001, 0.0019, 0.0002], [1.6124, 0.0057, 0.0041, 0.005200000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -2.5 * Z(1) + -0.5 * Z(0) + -1.0 *... | 12 | 10 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0111001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.6142) q[0];
rz(0.0013) q[0];
ry(0.0041) q[1];
rz(-0.3573) q[1];
ry(-0.0017) q[2];
rz(0.0018) q[2];
ry(0.0019) q[3];
rz(0.9701) q[3];
ry(1.6124) q[4];
rz(0.0057) q[4];
ry(0.3812) q[5];
rz(-0.0143) q[5];
ry(0.0016) q[6];
rz(0.0023) q[6];
ry(0.9794) 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": []} |
d84f9d44a9dfbf26b97835693b75dc35 | 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": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [74, 11], "expectation_value": -10.911873809313136, "params": null, "bitstrings": ["0110101", "1110100"], "total_optimization_steps": 42, "probabilities": [0.060939195303113376, 0.804994725968748], "optimization_time": 34.585487604141235} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5708) q[4];
cry(-1.5708) q[6], q[0];
ry(1.0958) q[6];
ry(-0.581) q[0];
cry(1.5708) q[6], q[3];
ry(-1.5691) q[1];
cry(1.5646) q[3], q[5];
cry(0.2734) q[3], q[6];
cry(-0.0859) q[5], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
ced749a911ace56900fad75f3c85d973 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [24, 56], "expectation_value": -4.538684516585663, "params": [-0.006, 0.2006, -0.0031000000000000003, 0.20020000000000002, 0.0761, 0.20070000000000002, 0.07640000000000001, 0.194, 0.40130000000000005, 0.0028, 0.39880000000000004, 0.0063, 0.398, -0.001, 0.4055, -0.0007, 0.4052, -0.0005, 0.4046, -0.002, -0.000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + -1.5 * Z(1) ... | 7 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["10010111", "10110101", "11000111", "01010111", "11001110", "11001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.006) q[0];
rz(0.2006) q[0];
rx(0.0761) q[1];
rz(0.2007) q[1];
rx(0.4013) q[2];
rz(0.0028) q[2];
rx(0.398) q[3];
rz(-0.001) q[3];
rx(0.4052) q[4];
rz(-0.0005) q[4];
rx(-0.0003) q[5];
rz(0.2178) q[5];
rx(-0.0002) q[6];
rz(0.2124) q[6];
rx(0.2067) 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": []} |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [374, 371], "expectation_value": -6.299442942899475, "params": null, "bitstrings": ["010001001", "010001100"], "total_optimization_steps": 88, "probabilities": [0.15143116822598657, 0.6686414346247994], "optimization_time": 213.34542298316956} | 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... | 1 | 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;
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[7];
ry(1.5706) q[3];
ry(1.5706) q[2];
cry(-1.0342) q[6], q[8];
cry(-1.0342) q[4], q[1];
ry(0.7003) q[4];
cry(-0.7092) q[0], q[1];
cry(1.1516) q[4], q[0];
cry(-0.9529) q[4], q[... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"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[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
e104f31aaff273b4fa5fa538ba3fde4a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [17, 81], "expectation_value": -9.499997356645254, "params": null, "bitstrings": ["111101110", "110101110"], "total_optimization_steps": 34, "probabilities": [5.247783531652035e-07, 0.9999981334971454], "optimization_time": 33.22070240974426} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(6)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + 1.75 * (Z(8) @ Z(0... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["111101110", "111111110", "110111110", "110101110"]} | 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[4];
ry(1.5706) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
cry(1.5681) q[4], q[2];
ry(-1.4449) q[6];
cry(-1.4417) q[2], q[5];
cry(-1.5479) q[2], q[3];
ry(-1.4448) q[7];
cry(-0.1... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
-3851573408422874833 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 8, 2], [2, 3], [10, 12], [3, 9, 11, 1], [8, 9, 4, 5], [1, 3, 12], [0, 5, 6], [0, 9, 10, 1], [8, 12, 6, 7], [0, 9, 12, 7], [1, 2, 5], [8, 4, 7], [0, 9, 4], [1, 6], [9, 2, 10, 6], [0, 4, 6, 7], [8, 0, 10, 4]]} | {"states": [6846, 6844], "expectation_value": -3.5462684700004017, "params": [1.2951000000000001, 0.0007, 1.2996, 0.0041, 1.2966, 0.0005, 1.2953000000000001, -0.0083, 0.41950000000000004, -0.0599, 0.42150000000000004, 0.0076, 1.2937, 0.0063, 1.1374, 0.0025, 0.6137, -0.37460000000000004, 0.62, 0.0071, 1.2938, -0.0271000... | 0.25 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.08333333333333333 * (Z(10) @ Z(2)) + 0.08333333333333333 * (Z(12) @ Z(8)) + 0.08333333333333333 * (Z(12) @ Z(0)) + 0.16... | 8 | 13 | 1 | {"smallest_eigenvalues": [-4.999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["0010101000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.2951) q[0];
rz(0.0007) q[0];
rx(1.2966) q[1];
rz(0.0005) q[1];
rx(0.4195) q[2];
rz(-0.0599) q[2];
rx(1.2937) q[3];
rz(0.0063) q[3];
rx(0.6137) q[4];
rz(-0.3746) q[4];
rx(1.2938) q[5];
rz(-0.0271) q[5];
rx(0.4877) q[6];
rz(-0.397) q[6];
rx(1.0825) 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": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -2.690341494376489, "params": [[-0.0577, -0.0449], [0.0618, 0.063]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.04663077794640261, 0.047946109030190726], "optimization_time": 2.323989152908325} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.202) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.202) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.202) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2308) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.202) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} |
b301caa8ee54d69b7ea37306c72194d5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [233, 169], "expectation_value": -33.459241492482406, "params": [[[0.601, 0.0009000000000000001], [0.3738, -0.1193], [0.6005, -0.0001], [0.0397, 0.2753], [0.5988, 0.0039000000000000003], [0.0006000000000000001, -0.3672], [-0.0039000000000000003, 0.3261], [0.5967, 0.0018000000000000002]], [[0.5936, 0.00090000... | 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 1.5 * Z(0) + -4.5 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + -8.0 * Z(5) + -4.5 * Z(4)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-46.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.0, "smallest_bitstrings": ["01010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.601) q[0];
rz(0.0009) q[0];
rx(0.3738) q[1];
rz(-0.1193) q[1];
rx(0.6005) q[2];
rz(-0.0001) q[2];
rx(0.0397) q[3];
rz(0.2753) q[3];
rx(0.5988) q[4];
rz(0.0039) q[4];
rx(0.0006) q[5];
rz(-0.3672) q[5];
rx(-0.0039) q[6];
rz(0.3261) q[6];
rx(0.5967) 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], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
5656897463763334713 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 3, 5, 6], [0, 2, 4, 5, 6], [3, 4, 5, 6], [2, 3, 4, 5], [0, 1, 4, 5]]} | {"states": [23, 55], "expectation_value": -1.1573388796418067, "params": null, "bitstrings": ["1101000", "1001000"], "total_optimization_steps": 36, "probabilities": [0.10890189418864281, 0.7792175814653366], "optimization_time": 37.638208627700806} | 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.21666666666666667 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.05 * (Z(0) @ Z(2)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.2, -1.2], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1166666666666667, "smallest_bitstrings": ["0000010", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5055) q[5];
ry(0.7939) q[4];
cry(0.4499) q[5], q[4];
cry(-0.4806) q[6], q[3];
cry(-0.3957) q[2], q[3];
ry(0.3478) q[6];
cry(-0.3302) q[1], q[0];
cry(0.2881) q[5], q[6];
cry(-0.3597) q[4], q[3];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5055) 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", "... |
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": -0.47024422413296485, "params": [[-0.0347, -0.054, -0.0584, -0.0747], [0.01, 0.055, 0.0606, 0.0682]], "bitstrings": ["101001", "010110"], "total_optimization_steps": 10, "probabilities": [0.027313900976443817, 0.027313900976443838], "optimization_time": 5.072725772857666} | 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 | 4 | {"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(-0.0347) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0347) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0347) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0347) 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] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
53c6a460d5c9131116ae4a3f106602e2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"s... | {"states": [8191, 4095], "expectation_value": -18.024220354810655, "params": [[[-1.6212, 0.008], [-0.0019, 0.0094], [0.0022, 0.001], [0.0024000000000000002, 0.0077], [0.003, 0.0005], [-0.0029000000000000002, 0.0017000000000000001], [0.0028, 0.007], [-0.0028, 0.0097], [0.0021000000000000003, 0.0099], [-0.002100000000000... | -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(11)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + 0.... | 2 | 13 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["1000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-1.6212) q[0];
rz(0.008) q[0];
rx(-0.0019) q[1];
rz(0.0094) q[1];
rx(0.0022) q[2];
rz(0.001) q[2];
rx(0.0024) q[3];
rz(0.0077) q[3];
rx(0.003) q[4];
rz(0.0005) q[4];
rx(-0.0029) q[5];
rz(0.0017) q[5];
rx(0.0028) q[6];
rz(0.007) q[6];
rx(-0.0028) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
7d8b3d8ceec2d81b644dfcbc98592f50 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [510, 382], "expectation_value": -1.9205656889210607, "params": [-0.001, 0.004200000000000001, 0.6035, 0.5991000000000001, 0.3262, 0.3312, 0.5900000000000001, 0.5932000000000001, 0.5775, 0.5625, 0.5982000000000001, 0.5964, 0.5939, 0.5997, 0.5874, 0.5828, 0.5815, 0.5766, 0.1933, 0.1923, 0.0039000000000000003,... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(4)) + -0.125 * (Z(1) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1000100100", "1010000001", "1001000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.001) q[0];
ry(0.6035) q[1];
ry(0.3262) q[2];
ry(0.59) q[3];
ry(0.5775) q[4];
ry(0.5982) q[5];
ry(0.5939) q[6];
ry(0.5874) q[7];
ry(0.5815) q[8];
ry(0.1933) q[9];
crx(0.0638) q[9], q[0];
crx(-0.12) q[8], q[9];
crx(-0.0208) q[7], q[8];
crx(0.067) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -6.894952181296096, "params": [[-0.059000000000000004, -0.0458], [0.07690000000000001, 0.0738]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.03326540698097585, 0.03407225538988862], "optimization_time": 3.1523993015289307} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 18 | 6 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2655) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2655) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2655) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2655) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
9b45b5fdea58b397fa5dd9ec63b0a714 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [58, 57], "expectation_value": -4.9998990600395805, "params": null, "bitstrings": ["1000101", "1000110"], "total_optimization_steps": 33, "probabilities": [1.6414805254407956e-05, 0.9999303736006054], "optimization_time": 30.14099431037903} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(6) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5681) q[0];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[5];
cry(0.1217) q[2], q[3];
cry(0.1216) q[3], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
f20b14ccaf46fd91ed39b9c05edbe906 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [9, 3], "expectation_value": -7.0781618393635375, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.1350325569531364, 0.6529765755302799], "optimization_time": 21.544010162353516} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -3.0 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.25, "smallest_bitstrings": ["11100", "11001", "10110"]} | 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(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
cry(-1.5693) q[3], q[1];
ry(0.9836) q[4];
ry(-0.3652) q[2];
ry(0.7038) q[3];
ry(-0.2773) q[1];
cry(0.2734) q[4], q[3];
cry(-0.1886) q[4], q[1];
cry(-0.1076) q[3], q[2];
cry(0.23... | null | {"k": 3} | {"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(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
3bcfe4648282d1b3b76d6f42e87e5c5d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 1, "target": 5}, {"weight": 7... | {"states": [126, 118], "expectation_value": -28.66581971882245, "params": [[-0.031900000000000005, -0.00030000000000000003, 0.0043], [0.0562, 0.0587, 0.0664]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.01257679867099501, 0.015778478426540118], "optimization_time": 7.994... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(4) @ Z(5)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2233) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2233) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2233) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2233) 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
46eda12a93c3695e097f9b7f41839c13 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"sour... | {"states": [14, 46], "expectation_value": -4.041856395651736, "params": [[[0.002, -0.2656, 0.008, 0.009600000000000001], [0.0026000000000000003, 0.2661, 0.0032, 0.0027], [0.6332, -0.0012000000000000001, -0.622, 0.009000000000000001], [0.1499, 0.00030000000000000003, 1.6117000000000001, 0.0004], [0.8886000000000001, -0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(1) + 0.0 * Z(7) + -0.5 * Z(4) + 0.0... | 11 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010001", "110011100", "001101110", "111010100", "011101100", "100011110", "001011110", "011011100", "111100100", "111100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.002) q[0];
rz(-0.2656) q[0];
ry(0.0026) q[1];
rz(0.2661) q[1];
ry(0.6332) q[2];
rz(-0.0012) q[2];
ry(0.1499) q[3];
rz(0.0003) q[3];
ry(0.8886) q[4];
rz(-0.0008) q[4];
ry(-0.003) q[5];
rz(-0.2135) q[5];
ry(1.5825) q[6];
rz(-0.0033) q[6];
ry(1.5749) 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": []} |
1544988c6452fa79840159cabec617a0 | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capac... | {"states": [0, 3], "expectation_value": -15.42360622122883, "params": [-0.1661, 0.0067, -0.134, -0.0034000000000000002, 0.0021000000000000003, 0.16290000000000002, -0.0006000000000000001, 0.16090000000000002, -0.0019, 0.1459, 0.001, 0.1563, 0.0039000000000000003, 0.14550000000000002, 0.0027, 0.16, 0.0015, 0.16010000000... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(9) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -1.0 * (Z(7) @ Z... | 6 | 10 | 4 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111111110", "1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.1661) q[0];
rz(0.0067) q[0];
rx(0.0021) q[1];
rz(0.1629) q[1];
rx(-0.0019) q[2];
rz(0.1459) q[2];
rx(0.0039) q[3];
rz(0.1455) q[3];
rx(0.0015) q[4];
rz(0.1601) q[4];
rx(-0.0019) q[5];
rz(0.1644) q[5];
rx(0.0111) q[6];
rz(0.0923) q[6];
rx(0.005) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-3433056714137750198 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 6, 7], [0, 3, 4, 7], [5, 7], [0, 1, 9], [8, 4], [8, 3], [8, 2]]} | {"states": [1016, 493], "expectation_value": -0.6783196333400887, "params": [[0.27940000000000004], [-0.2696]], "bitstrings": ["0000000111", "1000010010"], "total_optimization_steps": 30, "probabilities": [0.0028800158412304426, 0.002883764919583261], "optimization_time": 2.919053316116333} | 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.25 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.1666666... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.9166666666666665, -2.9166666666666665, -2.9166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["1000010010", "0100000110", "0000000111"]} | 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[6], q[0];
rz(0.0931) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.0931) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(0.1397) q[7];
cx q[0], q[7];
cx q[0], q[3];
rz(0.0466) q[3];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | null | {"circuits": [], "gradients": []} |
5f00309bf070152bf46ffab5f9eaa5a4 | 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": [250, 218], "expectation_value": -54.77678344668124, "params": [0.0021000000000000003, 0.5703, 0.8998, -0.0064, 0.8951, 0.24150000000000002, 0.47550000000000003, 0.3109, 0.89, 0.0673, 0.8948, 0.2096, 0.2917, 0.3788, 0.9017000000000001, 0.29050000000000004, 0.042300000000000004, 0.5577, 0.004200000000000001, ... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(1)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 9.5 * Z(1) + -3.5 * Z(0) + 12.0 * Z(2) + 7.0 * Z(4) + 7.0 * Z(3) + 10.0 * Z(5) + 2.5 * Z(6) + 5.5 * Z(7) + -1.5 * Z(8) | 18 | 9 | 3 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0021) q[0];
rz(0.5703) q[0];
rx(0.8998) q[1];
rz(-0.0064) q[1];
rx(0.8951) q[2];
rz(0.2415) q[2];
rx(0.4755) q[3];
rz(0.3109) q[3];
rx(0.89) q[4];
rz(0.0673) q[4];
rx(0.8948) q[5];
rz(0.2096) q[5];
rx(0.2917) q[6];
rz(0.3788) q[6];
rx(0.9017) q[7];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
9f43fe75b2280c840369a5d99b502e49 | 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": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 14], "expectation_value": -0.1437470790162401, "params": [[0.0475, -0.027, -0.034], [-0.054, -0.0188, 0.0119]], "bitstrings": ["1001101", "1110001"], "total_optimization_steps": 10, "probabilities": [0.008459256665595178, 0.008555918925510848], "optimization_time": 4.408584833145142} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(1) + -1.5 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1110001", "1010101", "1001101"]} | 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(0.0475) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0475) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0475) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0475) q[5];
cx q[0], q[5];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
-8918761665355681149 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [0, 7], [8, 7], [2, 3], [1, 4], [3, 5]]} | {"states": [417, 457], "expectation_value": -0.06007355929802795, "params": [[-0.06760000000000001], [0.0753]], "bitstrings": ["001011110", "000110110"], "total_optimization_steps": 10, "probabilities": [0.0021979623479737092, 0.0021979623479737092], "optimization_time": 1.2502450942993164} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(8) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["000110110", "010100010", "101011101", "100110101", "011001010", "111001001", "001011110", "110100001"]} | 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[1];
rz(-0.0676) q[1];
cx q[6], q[1];
cx q[7], q[0];
rz(-0.0676) q[0];
cx q[7], q[0];
cx q[7], q[8];
rz(-0.0676) q[8];
cx q[7], q[8];
cx q[3], q[2];
rz(-0.0676) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[8];
rz(x0) q[8];
cx q[7], q[8];... | null | {"circuits": [], "gradients": []} |
bd840c67c60de5e8a0e6837e43896a66 | 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": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [220, 127], "expectation_value": -2.6074676238662158, "params": [[0.042, 0.0587, 0.0579, 0.0668], [-0.0228, -0.0458, -0.0444, -0.0485]], "bitstrings": ["00100011", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00963777590912006, 0.010538143423712034], "optimization_time": 10.01410651206970... | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.084) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.042) q[6];
cx q[0], q[6];
cx q[3], q[7];
rz(-0.084) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.147) q[7];
cx q[0], q[7];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6e1cfcd2204ce1de490018a33c4c8336 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [81, 80], "expectation_value": -4.502694457319116, "params": [[[1.6032000000000002, 0.0009000000000000001], [-0.0022, 0.0049], [1.6301, 0.0098], [-0.0024000000000000002, 0.0054], [-0.0036000000000000003, 0.0074], [1.4925000000000002, 0.0068000000000000005], [1.5465, 0.0071]]], "bitstrings": ["0101110", "0101... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -2.0 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101110", "0111101", "0101111", "1001111", "1110101", "1110011", "1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.6032) q[0];
rz(0.0009) q[0];
rx(-0.0022) q[1];
rz(0.0049) q[1];
rx(1.6301) q[2];
rz(0.0098) q[2];
rx(-0.0024) q[3];
rz(0.0054) q[3];
rx(-0.0036) q[4];
rz(0.0074) q[4];
rx(1.4925) q[5];
rz(0.0068) q[5];
rx(1.5465) q[6];
rz(0.0071) q[6];
c[0] = measure q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [3, 1], "expectation_value": -0.4800755036748202, "params": [[0.0792], [-0.08510000000000001]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002815700700516189, 0.0028799570935989947], "optimization_time": 2.134697675704956} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.0792) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0396) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.1188) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(-0.0396) q[7];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3],... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
878d094d83cd61d556f3c6e9e2f56136 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [254, 63], "expectation_value": -12.291655159948053, "params": null, "bitstrings": ["00000001", "11000000"], "total_optimization_steps": 82, "probabilities": [0.13192227736430162, 0.8209440526583788], "optimization_time": 113.69887590408325} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"]} | 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[6];
cry(-1.5708) q[7], q[0];
ry(1.0383) q[7];
cry(-1.5708) q[7], q[1];
cry(-0.4375) q[6], q[0];
ry(1.5708) q[5];
ry(1.5708) q[3];
cry(0.1664) q[3], q[7];
ry(1.5594) q[2];
cry(1.3526) ... | 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[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[... |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -6.717734519590181, "params": [-0.0047, -0.07010000000000001, 0.0013000000000000002, -0.09340000000000001, -0.0001, -0.15080000000000002, 0.0034000000000000002, -0.1406, 0.0014, -0.1245, 0.0023, -0.12760000000000002, 0.0033, -0.1539, -0.0009000000000000001, -0.1452, 0.00240000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0047) q[0];
rz(-0.0701) q[0];
rx(-0.0001) q[1];
rz(-0.1508) q[1];
rx(0.0014) q[2];
rz(-0.1245) q[2];
rx(0.0033) q[3];
rz(-0.1539) q[3];
rx(0.0024) q[4];
rz(-0.1495) q[4];
rx(0.0009) q[5];
rz(-0.1587) q[5];
rx(-0.0016) q[6];
rz(-0.1398) q[6];
rx(0.0018) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
bd9e0113c93c45b06b4996cff164358f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [255, 254], "expectation_value": -2.6188817701924743, "params": [[-0.0666], [0.07540000000000001]], "bitstrings": ["00000000", "00000001"], "total_optimization_steps": 10, "probabilities": [0.007419940945284829, 0.007569756660237893], "optimization_time": 2.3323473930358887} | -3.0 * (Z(0) @ Z(2)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + -3.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -2.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(1)) + 1.0 ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.3996) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.1332) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.333) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(-0.1332) q[1];
cx q[2], q[1];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2],... | {"node": 8} | {"circuits": [], "gradients": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [63, 33], "expectation_value": -2.556997398331522, "params": [[-0.062, -0.055, -0.029500000000000002], [0.07730000000000001, 0.0745, 0.060700000000000004]], "bitstrings": ["1000000", "1011110"], "total_optimization_steps": 10, "probabilities": [0.019650115606889056, 0.025698192939798338], "optimization_time"... | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.093) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.031) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.062) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(0.031) q[6];
cx q[2], q[6];
cx q[0], q[6];
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": []} |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [120, 122], "expectation_value": -10.971525556646148, "params": null, "bitstrings": ["10000111", "10000101"], "total_optimization_steps": 100, "probabilities": [0.06949627212393182, 0.07974546248591978], "optimization_time": 163.55012106895447} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "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];
ry(18.1327) q[1];
ry(5.7993) q[6];
ry(12.9792) q[3];
ry(-12.9356) q[4];
ry(62.3287) q[0];
cry(62.8089) q[7], q[3];
cry(62.4059) q[2], q[3];
ry(10.4457) q[2];
cry(12.7337) q[5], q[3];
cry(24.2262) ... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(18.1327) 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... |
f8645113517905e1df1749520352d679 | 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": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [476, 220], "expectation_value": -8.24828485215092, "params": [[-0.0514], [0.0665]], "bitstrings": ["000100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.0038455357162228724, 0.004520952920155766], "optimization_time": 1.8734800815582275} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 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(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4626) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.4626) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.4626) q[3];
cx q[4], q[3];
cx q[2], q[5];
rz(-0.4626) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-4555375454082074671 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 7], [2, 5], [5, 7], [1, 3], [0, 1], [3, 7], [6, 7], [0, 2]]} | {"states": [142, 158], "expectation_value": -0.016339630798103633, "params": [[[1.6360000000000001, 0.0037], [1.5294, 0.0008], [1.4801, 0.0022], [1.6096000000000001, 0.0026000000000000003], [1.6108, 0.0007], [1.6403, 0.0016], [1.6151, 0.0077], [1.504, 0.0015]]], "bitstrings": ["01110001", "01100001"], "total_optimizati... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["10011110", "01100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.636) q[0];
rz(0.0037) q[0];
rx(1.5294) q[1];
rz(0.0008) q[1];
rx(1.4801) q[2];
rz(0.0022) q[2];
rx(1.6096) q[3];
rz(0.0026) q[3];
rx(1.6108) q[4];
rz(0.0007) q[4];
rx(1.6403) q[5];
rz(0.0016) q[5];
rx(1.6151) q[6];
rz(0.0077) q[6];
rx(1.504) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 29.499812841415405} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.2796) q[0];
ry(-1.5708) q[3];
ry(-1.3483) q[4];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(0.9179) q[6], q[0];
cry(-1.2089) q[5], q[0];
ry(-1.7676) q[5];
cry(1.2259) q[6], q[4];
cry(-0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
eb4434250287b59967f48eb02c1a0ef6 | 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": [90, 91], "expectation_value": -118.86941331782988, "params": [[0.002, -0.0032, 0.0016, 0.006900000000000001, 0.9065000000000001, -0.2255, 0.9841000000000001, 0.9821000000000001, 0.0717, 0.7188, 0.2501], [0.0008, 0.0007, 0.0022, 0.0043, 0.5937, 0.096, 0.042, 0.16060000000000002, -0.017, 0.6746, -0.2782], [0.... | 7.5 * (Z(1) @ Z(7)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(0) @ Z(9)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(5)) + 20.5 * Z(7) + -7.0 * Z(1) + 23.0 * Z(4) + -7.0 * Z(3) +... | 10 | 11 | 4 | {"smallest_eigenvalues": [-129.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["11110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.002) q[0];
ry(-0.0032) q[1];
ry(0.0016) q[2];
ry(0.0069) q[3];
ry(0.9065) q[4];
ry(-0.2255) q[5];
ry(0.9841) q[6];
ry(0.9821) q[7];
ry(0.0717) q[8];
ry(0.7188) q[9];
ry(0.2501) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
fbeca3287c88ac656e8f44e35837a20d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [173, 109], "expectation_value": -33.36837699923367, "params": null, "bitstrings": ["01010010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.0674883042215478, 0.26759242894517665], "optimization_time": 172.23651146888733} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(2) @ Z(5)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 5.5 * Z(1) + 1.5 * Z(0) + 19.0 * Z(4) + 14.5 * Z(5) + 14.5 * Z(2) + 6.0 * Z(3)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[4];
ry(63.0262) q[5];
ry(63.114) q[2];
cry(1.4809) q[2], q[4];
ry(0.3263) q[7];
cry(0.3699) q[4], q[2];
cry(-0.122) q[4], q[7];
cry(0.2335) q[2], q[7];
cry(-1.4492) q[7], q[6];
cry(1.... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
47a87bdf07cc47063498596ffad620cd | 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": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [15, 1], "expectation_value": -3.3060398425888495, "params": [[-0.0526, -0.0455, -0.044500000000000005], [0.0721, 0.055600000000000004, 0.057800000000000004]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.020328218124661297, 0.025688667963806082], "optimization_ti... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1315) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1315) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0789) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.0526) q[3];
cx q[2], q[3];
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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [10, 14], "expectation_value": -2.0287196033011012, "params": [[[0.5245000000000001, -0.0403], [0.020300000000000002, -0.1665], [0.6518, 1.7476], [1.4752, -0.15710000000000002], [-0.0056, -0.0036000000000000003], [0.1192, 0.0086]]], "bitstrings": ["110101", "110001"], "total_optimization_steps": 180, "probab... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 15 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.5245) q[0];
ry(0.0203) q[1];
ry(0.6518) q[2];
ry(1.4752) q[3];
ry(-0.0056) q[4];
ry(0.1192) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.0403) q[0];
ry(-0.1665) q[1];
ry(1.7476) q[2];
ry(-0.1571) 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;
ry(x0) q[0];
ry(x1... | null | {"circuits": [], "gradients": []} |
031bde19006d92e908f1dc22e1fb7974 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 8}, {"sour... | {"states": [63, 255], "expectation_value": -7.9925874710068205, "params": null, "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 93, "probabilities": [0.15636032598305566, 0.4670008181292783], "optimization_time": 102.46051812171936} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 1.0 * Z(6) + 0.5 * Z(5) + -1.0 * Z(7) | 5 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000000"]} | 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(1.5708) q[7], q[6];
cry(1.5708) q[6], q[5];
cry(1.5681) q[4], q[3];
ry(1.0829) q[4];
cry(1.5701) q[3], q[2];
cry(0.4303) q[2], q[3];
cry(1.5486) q[0], q[1];
cry(1.2305) q[1], q[0];
cry(0.5508)... | null | {"node": 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];\ncry(1.5708) q[7], 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] = mea... |
30817b6a61eae6109bfdbb2e6204f6e8 | 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": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [129, 137], "expectation_value": -10.919441561269206, "params": [-0.0033, 0.005200000000000001, 1.5997000000000001, 0.0055000000000000005, 0.0026000000000000003, 0.0071, 1.1829, 0.0036000000000000003, 1.1822000000000001, 0.0092, 1.592, 0.0023, 0.0027, 0.0081, -0.0027, 0.0097, 1.6161, 0.003, 0.0099, 0.0025, 0... | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0033) q[0];
rz(0.0052) q[0];
rx(1.5997) q[1];
rz(0.0055) q[1];
rx(0.0026) q[2];
rz(0.0071) q[2];
rx(1.1829) q[3];
rz(0.0036) q[3];
rx(1.1822) q[4];
rz(0.0092) q[4];
rx(1.592) q[5];
rz(0.0023) q[5];
rx(0.0027) q[6];
rz(0.0081) q[6];
rx(-0.0027) 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": []} |
6360877596394732254 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [3, 5, 6], [0, 6]]} | {"states": [39, 51], "expectation_value": -0.8918036834683889, "params": null, "bitstrings": ["1011000", "1001100"], "total_optimization_steps": 47, "probabilities": [0.1033375571976356, 0.16156820206982636], "optimization_time": 63.52065181732178} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0000000000000002, "smallest_bitstrings": ["1001100", "1010010", "1101000", "101100... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.1408) q[6];
cry(-1.4255) q[6], q[0];
cry(0.2515) q[4], q[6];
cry(-0.381) q[5], q[3];
ry(-0.1263) q[0];
cry(0.1811) q[2], q[6];
cry(-0.2978) q[3], q[5];
ry(0.2127) q[5];
cry(0.1134) q[5], q[6];
ry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.1408) 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", "... |
59c7593c47cfd4ca2ab0ec4e9d99b357 | 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": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.9863449382970546, "params": [[-0.0307, -0.0199, -0.055600000000000004], [0.0342, 0.0063, 0.054]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.00806889717716848, 0.00826770280821297], "optimization_time": 5.841977834701538} | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(0.0614) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.0614) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(-0.0767) q[7];
cx q[0], q[7];
cx q[6], q[1];
rz(0.0767) q[1];
cx q[6], q[1];
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": []} |
bb8d6cb75ebb85af27b654dfabc43af9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [141, 205], "expectation_value": -4.095370341701456, "params": [0.804, 0.0917, 0.8089000000000001, 0.0061, 0.8001, 0.08510000000000001, 0.8068000000000001, 0.0022, -0.011300000000000001, 0.3199, -0.0026000000000000003, 0.006900000000000001, 0.0026000000000000003, 0.4562, 0.0034000000000000002, 0.0046, 0.8056... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(2) + -1.0 * Z(... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.804) q[0];
rz(0.0917) q[0];
rx(0.8001) q[1];
rz(0.0851) q[1];
rx(-0.0113) q[2];
rz(0.3199) q[2];
rx(0.0026) q[3];
rz(0.4562) q[3];
rx(0.8056) q[4];
rz(0.0868) q[4];
rx(0.8047) q[5];
rz(0.0942) q[5];
rx(-0.0132) q[6];
rz(-0.3996) q[6];
rx(0.8074) 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": []} |
3f6824c4edf24e816f3464b92c43fccd | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [303, 301], "expectation_value": -106.10548008349697, "params": [-0.0024000000000000002, 0.45230000000000004, 0.1726, 0.3129, 0.7023, 0.0025, -0.0013000000000000002, 0.5159, 0.0004, 0.41590000000000005, 0.6990000000000001, 0.0935, 0.2812, 0.2584, 0.6954, -0.0039000000000000003, 0.7021000000000001, 0.1145, 0.... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(2)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(8) @ Z(1)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(0) @ Z(10)) + 1.5 * Z(1) + 16.5 * Z(2) + 17.5 * Z(5) + -5.0 * Z(4) + 5.0 * Z(6) + 24.5 * Z(... | 18 | 11 | 4 | {"smallest_eigenvalues": [-127.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -116.0, "smallest_bitstrings": ["11011010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0024) q[0];
rz(0.4523) q[0];
rx(0.1726) q[1];
rz(0.3129) q[1];
rx(0.7023) q[2];
rz(0.0025) q[2];
rx(-0.0013) q[3];
rz(0.5159) q[3];
rx(0.0004) q[4];
rz(0.4159) q[4];
rx(0.699) q[5];
rz(0.0935) q[5];
rx(0.2812) q[6];
rz(0.2584) q[6];
rx(0.6954) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
50e1538ced0f034536f800804221a394 | 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": [2372, 2404], "expectation_value": -140.78092397752943, "params": [[0.011600000000000001, 0.6828000000000001, 0.0959, 0.0207, 0.6345000000000001, 0.0195, 0.6206, 0.49870000000000003, -0.003, 0.0357, 0.6508, -0.0026000000000000003, -0.0023], [0.0001, 0.6798000000000001, 0.097, -0.0056, 0.6351, 0.0272000000000... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(4)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(7) @ Z(2)) + 8.5 * (Z(6) @ Z(7)) + 8.5 * (Z(5) @ Z(7)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(10) @ Z(2)) + 8.5 * (Z(10) @ Z(7)) + 8.5 * (Z(9) @ Z(6)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(12) @ Z(1)) + 10.5 * Z(2) + 9.5 * Z(1) + 10.0 * Z(4) + -4.5 * Z(0)... | 10 | 13 | 4 | {"smallest_eigenvalues": [-172.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -147.0, "smallest_bitstrings": ["1011010011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0116) q[0];
ry(0.6828) q[1];
ry(0.0959) q[2];
ry(0.0207) q[3];
ry(0.6345) q[4];
ry(0.0195) q[5];
ry(0.6206) q[6];
ry(0.4987) q[7];
ry(-0.003) q[8];
ry(0.0357) q[9];
ry(0.6508) q[10];
ry(-0.0026) q[11];
ry(-0.0023) q[12];
cz q[12], q[11];
cz q[11], q[10]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
8cf72b25e2d0af3364d579ef12541af8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -24.003725847976668, "params": [[[-0.0118, -0.0095], [0.0032, -0.0034000000000000002], [-0.0015, -0.0022], [-0.0009000000000000001, -0.0022], [0.0037, -0.0028], [-0.0004, -0.0029000000000000002], [-0.0058000000000000005, -0.0029000000000000002], [-0.0001, 0.0028], [-0.00390... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(10) @ Z(6)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(8)) + -1.0 * (Z(2) @ Z(5)) + 1.25 * ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0118) q[0];
ry(0.0032) q[1];
ry(-0.0015) q[2];
ry(-0.0009) q[3];
ry(0.0037) q[4];
ry(-0.0004) q[5];
ry(-0.0058) q[6];
ry(-0.0001) q[7];
ry(-0.0039) q[8];
ry(0.0154) q[9];
ry(-0.0119) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [1781, 1886], "expectation_value": -0.1789500011948582, "params": [[-0.0436], [0.0523]], "bitstrings": ["100100001010", "100010100001"], "total_optimization_steps": 10, "probabilities": [0.0002672240829454685, 0.00026722408294546857], "optimization_time": 4.658063650131226} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010100010001", "100100010001", "001100001010", "100100001010", "100010100001", "100001100010", "001001010100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[4], q[3];
rz(-0.0436) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0436) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0436) q[5];
cx q[3], q[5];
cx q[3], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
f4e7d1966de2f9e12f9f1492a49406c3 | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"sour... | {"states": [261, 293], "expectation_value": -7.164374920922697, "params": [1.7063000000000001, 0.0071, 1.4994, 0.003, 0.0018000000000000002, 0.004200000000000001, 1.6276000000000002, 0.0038, 0.38720000000000004, 0.0063, -0.0033, 0.0037, 1.7144000000000001, 0.0071, -0.0035, 0.0058000000000000005, 1.7129, 0.001, 0.007800... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["001111010", "011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.7063) q[0];
rz(0.0071) q[0];
rx(1.4994) q[1];
rz(0.003) q[1];
rx(0.0018) q[2];
rz(0.0042) q[2];
rx(1.6276) q[3];
rz(0.0038) q[3];
rx(0.3872) q[4];
rz(0.0063) q[4];
rx(-0.0033) q[5];
rz(0.0037) q[5];
rx(1.7144) q[6];
rz(0.0071) q[6];
rx(-0.0035) 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [11, 7], "expectation_value": -3.9964640788483465, "params": null, "bitstrings": ["110100", "111000"], "total_optimization_steps": 21, "probabilities": [0.06634840540222475, 0.9303662461102485], "optimization_time": 12.184194326400757} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[2];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
a0afe1db6b2d88e5f1acf9021bcf7820 | 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": 8}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"sour... | {"states": [338, 370], "expectation_value": -5.4785885857888585, "params": [[0.785, 0.0022, 0.5791000000000001, -0.1068, 1.0515, -0.0037, 0.0329, 0.7844, 0.0031000000000000003], [0.762, 0.0, 0.6096, 1.0961, 1.0203, -0.0048000000000000004, -0.1056, 0.788, 0.0031000000000000003], [0.7948000000000001, -0.0043, 0.5625, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(5) + -1.5 * Z(8) + -0.5 * Z(7) + -1.0 * Z... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.785) q[0];
ry(0.0022) q[1];
ry(0.5791) q[2];
ry(-0.1068) q[3];
ry(1.0515) q[4];
ry(-0.0037) q[5];
ry(0.0329) q[6];
ry(0.7844) q[7];
ry(0.0031) 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];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
78616dde966060f19491de0909028de8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [249, 236], "expectation_value": -21.606507202626986, "params": [[0.0238, -0.0007], [-0.0641, -0.0557]], "bitstrings": ["100000110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.00458242263543694, 0.005528473416814435], "optimization_time": 3.463371515274048} | 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(6)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(6)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "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[0], q[2];
rz(0.238) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.238) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.238) q[1];
cx q[2], q[1];
cx q[1], q[5];
rz(0.238) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
ec35ce3891ac4bb821f68ab1691bd73d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"source": 6, "target": 8}, {"sour... | {"states": [56, 248], "expectation_value": -7.785648544607098, "params": null, "bitstrings": ["11000111", "00000111"], "total_optimization_steps": 44, "probabilities": [0.19915447010079268, 0.5963970948325181], "optimization_time": 45.380532026290894} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(3) + -1.5 * Z(6) + -1.5 * Z(5) + -1.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "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];
ry(-1.5708) q[7];
cry(1.5681) q[3], q[4];
ry(1.0829) q[3];
cry(1.5701) q[4], q[2];
cry(0.4303) q[2], q[4];
ry(-1.5681) q[6];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[5];
cry(0... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
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