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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
06632fbf1ad4a3ea92a14b4d32f5e5e0 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [43605, 21930], "expectation_value": -0.09008700494213447, "params": [[-0.1526], [0.15810000000000002]], "bitstrings": ["0101010110101010", "1010101001010101"], "total_optimization_steps": 20, "probabilities": [2.1784441607409817e-05, 2.178444160740982e-05], "optimization_time": 17.424582719802856} | 0.25 * (Z(0) @ Z(1)) + 0.00025000000000000006 * (Z(2) @ Z(0)) + 0.00025000000000000006 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011250000000000001 * (Z(4) @ Z(0)) + 0.00012500000000000003 * (Z(4) @ Z(2)) + -0.0011250000000000001 * (Z(5) @ Z(1)) + 0.00012500000000000003 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021249999999972], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0212499999999496, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0763) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q... | 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[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];
... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
be5567089ea669cee1a7aa408c6e9375 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [44, 21], "expectation_value": -0.20743443315270482, "params": [[0.0694, -0.06430000000000001], [-0.0809, 0.0258]], "bitstrings": ["1010011", "1101010"], "total_optimization_steps": 10, "probabilities": [0.008960180041029293, 0.008972013887594641], "optimization_time": 2.786820888519287} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * 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": ["0110110", "1101010", "1010011", "0010111", "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[2], q[0];
rz(0.0694) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0694) q[4];
cx q[0], q[4];
cx q[2], q[1];
rz(0.0694) q[1];
cx q[2], q[1];
cx q[4], q[5];
rz(0.0694) q[5];
cx q[4], q[5];
cx q[1], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [9, 52], "expectation_value": -0.27475307485566525, "params": [[-0.0397, -0.062], [0.0395, 0.0635]], "bitstrings": ["110110", "001011"], "total_optimization_steps": 10, "probabilities": [0.018716909691293512, 0.019167467640642005], "optimization_time": 2.4062588214874268} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "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[2], q[0];
rz(-0.0397) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0397) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0397) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0397) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0... | null | {"circuits": [], "gradients": []} |
ab6c3b5f5fb942389ddb1a219cbf9526 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [176, 177], "expectation_value": -6.006390163272433, "params": [[[3.1436, 0.0077], [-0.0018000000000000002, 0.0013000000000000002], [3.1445000000000003, 0.0031000000000000003], [3.1445000000000003, 0.00030000000000000003], [-0.0027, 0.0008], [0.0027, 0.0017000000000000001], [-0.0022, 0.005], [1.5836000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["01001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(3.1436) q[0];
rz(0.0077) q[0];
rx(-0.0018) q[1];
rz(0.0013) q[1];
rx(3.1445) q[2];
rz(0.0031) q[2];
rx(3.1445) q[3];
rz(0.0003) q[3];
rx(-0.0027) q[4];
rz(0.0008) q[4];
rx(0.0027) q[5];
rz(0.0017) q[5];
rx(-0.0022) q[6];
rz(0.005) q[6];
rx(1.5836) 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] 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": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [25, 19], "expectation_value": -3.9890654178560507, "params": null, "bitstrings": ["1100110", "1101100"], "total_optimization_steps": 31, "probabilities": [0.060236228906038886, 0.8645372940585687], "optimization_time": 32.80052304267883} | 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];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(1.4449) q[6];
cry(-1.0343) q[2], q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[6], q[2];
ry(-0.4549) q[3];
cry(0.4... | 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[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", ... |
f5111a52f17f533e17f8c384d135402e | 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}], "edges": [{"weight": 6, "source": 0, "t... | {"states": [175, 174], "expectation_value": -73.33422492646137, "params": [0.38020000000000004, 0.39840000000000003, 1.0696, 0.18530000000000002, 0.0095, 0.5429, 1.0705, 0.1693, 0.4697, 0.3642, 1.069, -0.0097, 1.0657, 0.0045000000000000005, 1.064, -0.1451, 0.4812, -0.30360000000000004, 0.38580000000000003, 0.4125000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3802) q[0];
rz(0.3984) q[0];
rx(1.0696) q[1];
rz(0.1853) q[1];
rx(0.0095) q[2];
rz(0.5429) q[2];
rx(1.0705) q[3];
rz(0.1693) q[3];
rx(0.4697) q[4];
rz(0.3642) q[4];
rx(1.069) q[5];
rz(-0.0097) q[5];
rx(1.0657) q[6];
rz(0.0045) q[6];
rx(1.064) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
7945763489387568902 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 7], [2, 7], [0, 1, 4], [0, 2, 3], [5, 7], [0, 6, 7], [2, 5], [1, 3, 4, 5], [4, 5, 6], [8, 5]]} | {"states": [428, 314], "expectation_value": -0.5041890324356906, "params": [[0.18050000000000002], [-0.187]], "bitstrings": ["001010011", "011000101"], "total_optimization_steps": 20, "probabilities": [0.0032569023067759153, 0.003300831090346632], "optimization_time": 4.431843280792236} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7499999999999996, "smallest_bitstrings": ["011000101"]} | 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[1];
rz(0.0602) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0602) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.1203) q[4];
cx q[1], q[4];
cx q[3], q[7];
rz(0.0301) q[7];
cx q[3], q[7];
... | 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[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[... | null | {"circuits": [], "gradients": []} |
-1082198652448256105 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 5], [1, 4], [2, 4, 5, 6], [0, 6], [3, 5], [0, 3, 4], [0, 1, 2], [2, 3]]} | {"states": [23, 86], "expectation_value": -0.059252053145543625, "params": [[0.0722], [-0.061500000000000006]], "bitstrings": ["1101000", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008422156690068279, 0.008627700767837093], "optimization_time": 0.7676775455474854} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.2499999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3333333333333326, "smallest_bitstrings": ["0101001"]} | 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[1];
rz(0.0481) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.0361) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.0241) q[5];
cx q[1], q[5];
cx q[2], q[4];
rz(0.012) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
f14d8e0f71f0ff6db28f36244fe0a670 | 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": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [200, 202], "expectation_value": -5.510274500062044, "params": [[[0.7898000000000001, -0.0034000000000000002], [0.7834, -0.0029000000000000002], [-0.0041, 0.6317], [-0.0041, 0.4848], [0.7881, 0.0031000000000000003], [0.0006000000000000001, -0.5473], [0.39640000000000003, -0.019], [-0.0032, 0.4676]], [[0.7854... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(7) + -1.0 * Z(1) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7898) q[0];
rz(-0.0034) q[0];
rx(0.7834) q[1];
rz(-0.0029) q[1];
rx(-0.0041) q[2];
rz(0.6317) q[2];
rx(-0.0041) q[3];
rz(0.4848) q[3];
rx(0.7881) q[4];
rz(0.0031) q[4];
rx(0.0006) q[5];
rz(-0.5473) q[5];
rx(0.3964) q[6];
rz(-0.019) q[6];
rx(-0.0032) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
04943d12be9331cc9245456617bb8845 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [476, 958], "expectation_value": -24.02738615215402, "params": null, "bitstrings": ["1111000100011", "1110001000001"], "total_optimization_steps": 100, "probabilities": [0.15696165053451847, 0.42690998683539116], "optimization_time": 432.626610994339} | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 1 | 13 | 2 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110000010000", "1111001000101", "1110001000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(-2.4156) q[5];
ry(-1.3446) q[7];
ry(10.4071) q[9];
ry(3.2245) q[4];
ry(0.2846) q[6];
cry(-0.6534) q[6], q[5];
cry(0.3327) q[0], q[5];
ry(-0.0267) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
b37a187c731adb427065940c6b9da462 | 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": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -12.331450050995297, "params": [-0.0015, 0.0027, 0.0025, 0.9881000000000001, 1.6116000000000001, 0.0001, 0.0025, 0.0079, -0.0027, 0.0094, 0.0023, 0.0059, 0.0024000000000000002, 0.0103, 0.0022, 0.0078000000000000005, 0.0027, 0.004, 0.0023, 0.001, 0.0026000000000000003, 0.0045000... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(10) @ Z(0)) + -0.25 * (Z(1) @ Z(10)) + 1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.0 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(10)) + -0.75 * (Z(5) @ Z(10)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0015) q[0];
rz(0.0027) q[0];
rx(0.0025) q[1];
rz(0.9881) q[1];
rx(1.6116) q[2];
rz(0.0001) q[2];
rx(0.0025) q[3];
rz(0.0079) q[3];
rx(-0.0027) q[4];
rz(0.0094) q[4];
rx(0.0023) q[5];
rz(0.0059) q[5];
rx(0.0024) q[6];
rz(0.0103) q[6];
rx(0.0022) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
803276a777b6ec2f65b92e64949dd4f0 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 135], "expectation_value": -35.611385748684526, "params": [-0.0005, 1.6421000000000001, 0.0016, 1.3502, -0.004, -0.8069000000000001, -0.0037, 1.4736, 0.7981, 0.5874, -0.2585, 1.9714, -0.0025, 1.4225, -0.0027, 1.4012, 0.0019, 1.3542, 0.0009000000000000001, 1.6491, 0.0015, 1.5764, -0.009600000000000001, 0.... | -3.0 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(6) @ Z(3)) + -3.5 * (Z(6) @ Z(0)) + 1.5 * (Z(6) @ Z(4)) + 1.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + -3.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(3)) + 1.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(4)) + -3.5 * (Z(5) @ Z(6)) + -3.... | 6 | 10 | 2 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0005) q[0];
rz(1.6421) q[0];
rx(-0.004) q[1];
rz(-0.8069) q[1];
rx(0.7981) q[2];
rz(0.5874) q[2];
rx(-0.0025) q[3];
rz(1.4225) q[3];
rx(0.0019) q[4];
rz(1.3542) q[4];
rx(0.0015) q[5];
rz(1.5764) q[5];
rx(-0.0021) q[6];
rz(2.0627) q[6];
rx(0.9484) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 3} | {"circuits": [], "gradients": []} |
f4058862d2cc91e963663e2c69858d5f | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 37], "expectation_value": -4.996515624145528, "params": null, "bitstrings": ["0011011", "1011010"], "total_optimization_steps": 26, "probabilities": [0.06700894031405219, 0.9297461660320786], "optimization_time": 25.575791120529175} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "0011011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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[3];
ry(-1.4449) q[2];
ry(1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[0];
ry(0.7022) q[6];
ry(-0.4578) q[0];
cry(0.497) q[4], q[6];
cry(-0.3761) q[4], q[0];
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", ... |
135981e0ed720862b340e5f4f8aff5ed | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [1020, 1023], "expectation_value": -12.923289461522337, "params": null, "bitstrings": ["0000000011", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.1355452914933151, 0.43988932258809993], "optimization_time": 235.98850274085999} | -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];
cry(1.5708) q[3], q[4];
cry(1.5708) q[4], q[0];
cry(1.1127) q[0], q[3];
cry(0.229) q[0], q[4];
cry(1.5708) q[4], q[5];
cry(1.5708) q[5], q[1];
cry(1.5706) q[6], q[7];
cry(1.5704)... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
b8267cc32c4ab20719d021fb2a369baa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 6}, {"capac... | {"states": [129, 193], "expectation_value": -4.1584974817099685, "params": [-0.0129, 0.062, -0.012100000000000001, 0.0682, 0.0193, 0.1341, 0.014700000000000001, 0.1426, -0.2795, -0.0006000000000000001, -0.27190000000000003, -0.0032, 0.22990000000000002, 0.0004, 0.2494, -0.0035, 0.0018000000000000002, 0.2364, 0.0047, 0.... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.25 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(9) + -0.25 * Z(6) + 0.0 * Z(1) + 0.25 * Z(7) +... | 6 | 10 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -3.25, "smallest_bitstrings": ["1001101000", "1001110000", "1000100000", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0129) q[0];
rz(0.062) q[0];
rx(0.0193) q[1];
rz(0.1341) q[1];
rx(-0.2795) q[2];
rz(-0.0006) q[2];
rx(0.2299) q[3];
rz(0.0004) q[3];
rx(0.0018) q[4];
rz(0.2364) q[4];
rx(-0.0019) q[5];
rz(0.197) q[5];
rx(-0.0036) q[6];
rz(0.2315) q[6];
rx(-0.0071) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
50c5b65ff56baf5d2a2ac4afeecfa642 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [164, 166], "expectation_value": -4.139158458264035, "params": [0.4968, -0.003, 0.4974, 0.0015, 0.34400000000000003, 0.028200000000000003, 0.3791, 0.0008, 0.5022, 0.0048000000000000004, 0.49920000000000003, 0.0032, -0.0327, 0.0568, 0.10490000000000001, 0.0891, 0.10830000000000001, 0.028800000000000003, 0.135... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.... | 6 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011010", "01011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4968) q[0];
rz(-0.003) q[0];
rx(0.344) q[1];
rz(0.0282) q[1];
rx(0.5022) q[2];
rz(0.0048) q[2];
rx(-0.0327) q[3];
rz(0.0568) q[3];
rx(0.1083) q[4];
rz(0.0288) q[4];
rx(0.5) q[5];
rz(0.0086) q[5];
rx(0.5061) q[6];
rz(0.0123) q[6];
rx(0.4999) q[7];
rz(0.005... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
0f6c9a235f7bcd68e5f64c8a7647bf3d | 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": [1348, 837], "expectation_value": -43.015750665262075, "params": [[[0.33790000000000003, 0.2308], [0.2641, 0.2874], [0.5048, 0.4937], [0.2124, 0.49100000000000005], [0.5019, 0.3876], [0.2044, 0.4209], [-0.0429, 0.2597], [-0.0796, 0.1691], [0.4893, 0.4675], [0.4983, 0.4943], [0.4053, 0.4938]], [[0.48750000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(2)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(8)) + 7.0 * (Z(10) @ Z(9)) + 6.0 * Z(1) + 2.0 * Z(0) + 1.0 * Z(3) + 15.0 * Z(2) + ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10010111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3379) q[0];
ry(0.2641) q[1];
ry(0.5048) q[2];
ry(0.2124) q[3];
ry(0.5019) q[4];
ry(0.2044) q[5];
ry(-0.0429) q[6];
ry(-0.0796) q[7];
ry(0.4893) q[8];
ry(0.4983) q[9];
ry(0.4053) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
082a088e0d8cf5644bb54063ea0af58e | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [1996, 1984], "expectation_value": -18.88836124305103, "params": null, "bitstrings": ["00000110011", "00000111111"], "total_optimization_steps": 100, "probabilities": [0.1506341152932654, 0.429722094573549], "optimization_time": 295.1149535179138} | -2.5 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + -2.5 * (Z(6) @ Z(8)) + 0.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.0, -28.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -27.0, "smallest_bitstrings": ["00000111111", "00000100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
ry(-1.5709) q[8];
cry(1.5708) q[4], q[2];
cry(1.5708) q[2], q[1];
cry(1.1127) q[1], q[4];
cry(1.565) q[1], q[3];
cry(1.5708) q[3], q[0];
cry(-0.6791) q[1], q[2];
cry(-0.... | null | {"node": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nry(-1.5709) 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] = m... |
3568935625424245825 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [1, 7], [3, 7], [2, 6], [3, 4], [2, 7], [4, 5]]} | {"states": [120, 116], "expectation_value": -3.088099425647875, "params": null, "bitstrings": ["10000111", "10001011"], "total_optimization_steps": 70, "probabilities": [0.05455912153726983, 0.7811051402029368], "optimization_time": 93.05388402938843} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001011", "01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[7];
cry(-1.0342) q[5], q[4];
ry(1.0293) q[3];
cry(-1.3837) q[3], q[0];
cry(-0.8214) q[2], q[7];
cry(1.1655) q[3], q[2];
cry(-1.3809) q[2], q[6];
cry(1.2816) q[2], q[1];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
8b5947b02692638d32f271e79fab34d5 | 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": 2, "source": 0, "target": 8}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 2, "target":... | {"states": [0, 1022], "expectation_value": -17.748998984462105, "params": [[[-0.0172, -0.48850000000000005], [-0.0043, -0.032100000000000004], [-0.0011, -0.0019], [-0.0016, -0.0025], [-0.0026000000000000003, -0.0014], [-0.002, 0.0017000000000000001], [-0.0045000000000000005, -0.0024000000000000002], [-0.0033, -0.0016],... | -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -17.25, "smallest_bitstrings": ["10000000000", "10000000001", "10000000010", "10000000011", "10000010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0172) q[0];
ry(-0.0043) q[1];
ry(-0.0011) q[2];
ry(-0.0016) q[3];
ry(-0.0026) q[4];
ry(-0.002) q[5];
ry(-0.0045) q[6];
ry(-0.0033) q[7];
ry(-0.0025) q[8];
ry(-0.0332) q[9];
ry(-0.2455) 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": []} |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [0, 1], "expectation_value": -14.005325246745812, "params": [-0.0027, 0.3543, 0.0019, 0.4491, -0.0167, -0.0591, 0.0002, 0.4456, 0.0012000000000000001, 0.4576, 0.0027, 0.459, 0.0028, 0.4516, 0.6071000000000001, -0.0027, -0.0048000000000000004, 0.3412, 0.0053, 0.4389, 0.0292, -0.3779, 0.0066, 0.446, 0.00450000... | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 4 | 8 | 3 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(0.3543) q[0];
rx(0.0019) q[1];
rz(0.4491) q[1];
rx(-0.0167) q[2];
rz(-0.0591) q[2];
rx(0.0002) q[3];
rz(0.4456) q[3];
rx(0.0012) q[4];
rz(0.4576) q[4];
rx(0.0027) q[5];
rz(0.459) q[5];
rx(0.0028) q[6];
rz(0.4516) q[6];
rx(0.6071) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.012527829633617427, "params": [[-0.0524], [0.0601]], "bitstrings": ["0", "1"], "total_optimization_steps": 10, "probabilities": [0.4937360851831911, 0.5062639148168085], "optimization_time": 0.8623018264770508} | -1.0 * Z(0) | 5 | 1 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
rz(0.1048) q[0];
h q[0];
rz(0.1202) q[0];
h q[0];
c[0] = measure q[0]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
bit[1] c;
qubit[1] q;
h q[0];
rz(x0) q[0];
h q[0];
rz(x1) q[0];
h q[0];
c[0] = measure q[0]; | {"start_node": 0, "end_node": 2} | {"circuits": [], "gradients": []} |
-4045081829995240290 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 4, 5, 7, 8, 10, 11], [11, 3], [1, 4, 5, 6, 7, 8, 9, 11], [0, 1, 2, 3, 5, 7, 10], [0, 9, 11, 7], [1, 2, 5, 8, 11]]} | {"states": [1941, 1973], "expectation_value": -1.2904556798171911, "params": [[0.2058, 1.576, 0.0045000000000000005, 1.5866, -0.0034000000000000002, -0.011300000000000001, -0.0094, 1.5775000000000001, -0.0017000000000000001, 1.5774000000000001, 0.002, 1.0779], [0.9674, 1.568, 1.5998, 1.5801, 1.5946, 0.19160000000000002... | 0.041666666666666664 * (Z(0) @ Z(1)) + 0.03571428571428571 * (Z(6) @ Z(1)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.10952380952380952 * (Z(7) @ Z(1)) + 0.041666666666666664 * (Z(7) @ Z(0)) + 0.03571428571428571 * (Z(7) @ Z(6)) + 0.05952380952380952 * (Z(9) @ Z(1)) + 0.125 * (Z(9) @ Z(0)) + 0.03571428571428571 * (Z(9)... | 10 | 12 | 1 | {"smallest_eigenvalues": [-1.4976190476190478, -1.4976190476190478, -1.4976190476190478], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.4976190476190474, "smallest_bitstrings": ["001110001000", "001001000011", "100001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2058) q[0];
ry(1.576) q[1];
ry(0.0045) q[2];
ry(1.5866) q[3];
ry(-0.0034) q[4];
ry(-0.0113) q[5];
ry(-0.0094) q[6];
ry(1.5775) q[7];
ry(-0.0017) q[8];
ry(1.5774) q[9];
ry(0.002) q[10];
ry(1.0779) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];
cz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | 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": -0.6373176981897835, "params": [[0.0562, 0.07300000000000001], [-0.0313, -0.0577]], "bitstrings": ["111111100", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0031489887473829525, 0.003242404796119348], "optimization_time": 3.221259355545044} | -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 | 2 | {"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", "110110010", "110110110", "110110000", "100110100", "100110000", "111111100", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.0562) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0281) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.0843) q[4];
cx q[0], q[4];
cx q[0], q[7];
rz(-0.0281) q[7];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
cd6b95f7911cf005cdf71a0eba496ffd | 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": 1, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "s... | {"states": [255, 251], "expectation_value": -0.30213184268546805, "params": [[0.061000000000000006], [-0.052500000000000005]], "bitstrings": ["100000000", "100000100"], "total_optimization_steps": 10, "probabilities": [0.00232100251146045, 0.0023340187086260027], "optimization_time": 2.435802698135376} | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(1)) + -0.25 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["100011100", "100001100", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[0];
rz(-0.0305) q[0];
cx q[4], q[0];
cx q[0], q[6];
rz(-0.0915) q[6];
cx q[0], q[6];
cx q[4], q[8];
rz(-0.0305) q[8];
cx q[4], q[8];
cx q[0], q[8];
rz(0.1525) q[8];
cx q[0], q[8... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
71e5bb03712e194188f8d50f4c05cdf8 | 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": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [108, 60], "expectation_value": -3.499151798817949, "params": null, "bitstrings": ["0010011", "1000011"], "total_optimization_steps": 29, "probabilities": [0.06620831211809416, 0.9331798105249665], "optimization_time": 19.380810260772705} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"]} | 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[5];
ry(-1.4449) q[6];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[2], q[0];
ry(0.7022) q[2];
ry(-0.4578) q[0];
cry(0.497) q[4], q[2];
cry(-0.3761) q[4], q[0];
cry(0.247... | 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[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", ... |
082b6c86bc8d553008a81e548bf0a65e | 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": 3, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [35, 3], "expectation_value": -11.525091798537497, "params": null, "bitstrings": ["111011100", "111111100"], "total_optimization_steps": 60, "probabilities": [0.16576969212998327, 0.5270153725643867], "optimization_time": 79.97202348709106} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(7) @ Z(2)) + -1.25 * (Z(7) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -1.5 * (Z(3) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + 2.25 * (Z(8) @ Z(0)) + -1.75 * (Z(8... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -12.5, "smallest_bitstrings": ["111111100", "111001000", "111000000", "111011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.57) q[2];
ry(-1.5708) q[5];
cry(-1.5708) q[8], q[0];
ry(1.004) q[8];
ry(-1.5708) q[6];
ry(-0.4686) q[0];
cry(1.5681) q[8], q[7];
cry(0.2919) q[7], q[8];
ry(-1.5558) q[1];
ry(-1.5059)... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.57) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
-508403983969535921 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1], [0, 3]]} | {"states": [0, 11], "expectation_value": -0.19720622852878567, "params": [0.6925, 0.0, 0.6934, 0.0027, 0.7046, 0.0008, 0.7028, 0.0039000000000000003, 0.7068, 0.0011, 0.7033, 0.0037, 0.7106, -0.0018000000000000002, 0.7084, 0.0047, 0.7093, 0.004, 0.7062, 0.007200000000000001, -0.6652, 0.5890000000000001, -0.6828000000000... | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 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) | 6 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.6925) q[0];
rz(0) q[0];
rx(0.7046) q[1];
rz(0.0008) q[1];
rx(0.7068) q[2];
rz(0.0011) q[2];
rx(0.7106) q[3];
rz(-0.0018) q[3];
rx(0.7093) q[4];
rz(0.004) q[4];
crx(0.3595) q[4], q[3];
crx(-0.6828) q[4], q[2];
crx(0.589) q[4], q[1];
crx(-0.6652) q[4], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1191675002883320459 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 3, 6], [8, 1], [2, 3], [4, 6], [4, 5], [2, 7]]} | {"states": [174, 430], "expectation_value": -2.526837226004336, "params": null, "bitstrings": ["101010001", "001010001"], "total_optimization_steps": 74, "probabilities": [0.05022554442823789, 0.6887272515800683], "optimization_time": 425.0344948768616} | 0.08333333333333333 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["001010001", "011001100", "111010000", "010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[7], q[2];
ry(1.2415) q[3];
cry(-0.5023) q[3], q[2];
ry(1.1385) q[7];
ry(-0.4317) q[2];
cry(-1.0342) q[6], q[4];
ry(0.7868) q[6];
cry(-0.7407) q[5], q[4];
cry(1.1589) q[6], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
02a2a0d33e9cebe605dcd75e7d0a9108 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"s... | {"states": [0, 8160], "expectation_value": -45.923244772940905, "params": [[[0.0026000000000000003, 0.008], [-0.0027, 0.0032], [0.0027, 0.001], [0.0022, 0.007500000000000001], [0.0022, 0.0043], [-0.0024000000000000002, 0.001], [0.0025, 0.0059], [1.6054000000000002, 0.008], [0.5705, 0.003], [0.0029000000000000002, 0.004... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -4.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -4.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(2)) + -3.5 * (Z(5) @ Z(3)) + -2.5 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(2)) + -3.0 * (Z(7) @ Z(3)) + 1.5... | 2 | 13 | 1 | {"smallest_eigenvalues": [-50.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.0, "smallest_bitstrings": ["0000000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0026) q[0];
rz(0.008) q[0];
rx(-0.0027) q[1];
rz(0.0032) q[1];
rx(0.0027) q[2];
rz(0.001) q[2];
rx(0.0022) q[3];
rz(0.0075) q[3];
rx(0.0022) q[4];
rz(0.0043) q[4];
rx(-0.0024) q[5];
rz(0.001) q[5];
rx(0.0025) q[6];
rz(0.0059) q[6];
rx(1.6054) 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[... | {"node": 12} | {"circuits": [], "gradients": []} |
-5630324896410027397 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 4], [2, 4, 5], [3, 4], [1, 2, 4]]} | {"states": [19, 42], "expectation_value": -0.036713588093297334, "params": [[-0.0731], [0.0731]], "bitstrings": ["101100", "010101"], "total_optimization_steps": 10, "probabilities": [0.016461830103197336, 0.01646183010319734], "optimization_time": 0.4724290370941162} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * Z(1) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.166666666666667, "smallest_bitstrings": ["000010", "101100", "010101"]} | 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(-0.0244) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0487) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0244) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0244) q[2];
cx q[1], q[2];
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;
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[4];
rz(x1) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
82a9b805089c1b1c13eff0722cc99710 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -0.3438269483743771, "params": [[-0.057100000000000005], [0.0697]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002526101826569228, 0.002581218983447726], "optimization_time": 2.9695215225219727} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.0286) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0571) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0286) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0857) q[5];
cx q[1], 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] 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 ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e61b9b6cad8366f7e670366fe202a3e7 | 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": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 187.10975432395935} | 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(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "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(34.778) q[3];
ry(2.9174) q[1];
ry(62.9644) q[4];
ry(63.1256) q[2];
cry(-63.359) q[2], q[3];
ry(17.0178) q[6];
cry(-62.8095) q[1], q[3];
cry(6.7393) q[7], q[3];
ry(9.4026) q[5];
cry(-25.2145) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
90ed954541db23a75eecb07977c28089 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [24, 20], "expectation_value": -4.973756373003075, "params": null, "bitstrings": ["100111", "101011"], "total_optimization_steps": 18, "probabilities": [0.07348093650168183, 0.9007115427574266], "optimization_time": 11.985194444656372} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(1.4449) q[1];
cry(-1.0343) q[3], q[2];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[1], q[3];
cry(-0.3789) q[1], q[2];
cry(0.1072) q[3], q[1];
cry(-0.0... | 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... |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [5, 36], "expectation_value": -4.473039785707444, "params": null, "bitstrings": ["111010", "011011"], "total_optimization_steps": 17, "probabilities": [0.0743643311544431, 0.8991266787931326], "optimization_time": 16.170021057128906} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[3];
cry(-1.0398) q[0], q[5];
ry(0.6944) q[0];
ry(-0.451) q[5];
cry(0.4963) q[3], q[0];
cry(-0.3778) q[3], q[5];
cry(-0.1177) q[3], q[2];
cry(0.10... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-6093224199140454729 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [8, 1], [8, 2, 3, 5], [0, 1, 4, 5], [8, 7]]} | {"states": [285, 317], "expectation_value": -1.7303293392564698, "params": null, "bitstrings": ["011100010", "011000010"], "total_optimization_steps": 80, "probabilities": [0.20550014425055899, 0.27411388760484484], "optimization_time": 163.77973651885986} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["000010101", "011000010", "010100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[7];
ry(0.9138) q[8];
cry(-1.2765) q[6], q[1];
ry(0.7763) q[6];
cry(-0.5958) q[8], q[1];
ry(-0.6219) q[7];
cry(0.5175) q[6], q[8];
ry(1.0107) q[5];
cry(0.5075) q[8], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[8], 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];\n... |
8400dfc59c687750e53928e5f0a8ca8d | 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": 5, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [339, 511], "expectation_value": -3.4998399937999145, "params": [[1.5681, 1.5676, 1.5733000000000001, 0.0024000000000000002, -0.0023, 1.5732000000000002, -0.7186, -0.0026000000000000003, -1.5685, -0.0026000000000000003], [-1.4402000000000001, 1.5733000000000001, 0.0023, 0.0027, 0.0023, 0.0022, -1.57350000000... | -1.25 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(2)) + -0.75 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ ... | 9 | 10 | 4 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(1.5681) q[0];
rx(1.5676) q[1];
rx(1.5733... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
ebb45b3c08de8547137b1f8188eda7e0 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": ... | {"states": [999, 995], "expectation_value": -4.052163485610796, "params": [[0.1422], [-0.138]], "bitstrings": ["0000011000", "0000011100"], "total_optimization_steps": 20, "probabilities": [0.004302141775555752, 0.004405483123123143], "optimization_time": 1.0066440105438232} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["0000011100"]} | 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(-0.5688) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1422) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.711) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.5688) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[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": 6} | {"circuits": [], "gradients": []} |
-6967344369790396192 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 5], [2, 4], [0, 3], [0, 5], [2, 3, 5], [1, 4]]} | {"states": [56, 7], "expectation_value": -3.052171627966624, "params": null, "bitstrings": ["000111", "111000"], "total_optimization_steps": 41, "probabilities": [0.022188260352502764, 0.8796748540580442], "optimization_time": 37.38229298591614} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.16666666666666674 * Z(5) + 0.1666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[0];
ry(0.971) q[5];
cry(-1.3758) q[5], q[1];
cry(1.5364) q[5], q[4];
cry(-0.8867) q[4], q[0];
cry(1.4013) q[4], q[3];
cry(-1.5026) q[4], q[2];
cry(0.2854) q[4], q[5];
cry(-0.2312) q[4], q[1];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
5151777812028997366 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 4, 5, 7], [0, 2, 3, 4, 5, 6, 7, 8, 9], [0, 1, 3, 6], [1, 2], [1, 6, 7, 8, 9], [0, 1, 3, 7, 8], [1, 3, 5], [1, 4, 9], [1, 5, 6]]} | {"states": [878, 366], "expectation_value": -2.431466703054196, "params": null, "bitstrings": ["0010010001", "1010010001"], "total_optimization_steps": 64, "probabilities": [0.09854642841729555, 0.7570662588477549], "optimization_time": 165.6586570739746} | 0.25 * (Z(1) @ Z(4)) + 0.09722222222222221 * (Z(5) @ Z(4)) + 0.41666666666666663 * (Z(5) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(4)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.09722222222222221 * (Z(7) @ Z(5)) + 0.013888888888888888 * (Z(0) @ Z(4)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.013888888888888888 * (Z(0) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.511111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.51111111111111, "smallest_bitstrings": ["1010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(1.5665) q[1];
cry(-1.3928) q[1], q[2];
ry(0.9161) q[7];
cry(0.4315) q[1], q[7];
ry(0.4766) q[0];
cry(-0.4164) q[6], q[5];
cry(0.3962) q[1], q[0];
ry(-0.1654) q[2];
cry(-0.3611... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(1.5665) 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]... |
5ead2f429c96918822571a5b0efcbbf0 | 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": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"sour... | {"states": [456, 457], "expectation_value": -3.6706991574730767, "params": [1.7118, 0.0011, 1.7037, 0.0022, 1.7104000000000001, 0.001, 0.0356, 0.0028, -0.0028, 0.0035, 1.7106000000000001, 0.0002, 0.5566, 0.0023, 0.27040000000000003, 0.008, 1.5754000000000001, 0.0032, 0.0083, 0.001, 0.0063, 0.007500000000000001, 0.0016,... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(7) + 0.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -0.5 * Z(... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["000110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.7118) q[0];
rz(0.0011) q[0];
rx(1.7037) q[1];
rz(0.0022) q[1];
rx(1.7104) q[2];
rz(0.001) q[2];
rx(0.0356) q[3];
rz(0.0028) q[3];
rx(-0.0028) q[4];
rz(0.0035) q[4];
rx(1.7106) q[5];
rz(0.0002) q[5];
rx(0.5566) q[6];
rz(0.0023) q[6];
rx(0.2704) 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": []} |
266260d621043cabf37512f90b4b26ac | 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": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [86, 102], "expectation_value": -3.5822530552422482, "params": [0.4015, 0.0, 0.40640000000000004, -0.0034000000000000002, 0.4037, -0.0038, 0.0453, 0.0845, 0.4051, -0.0007, 0.4072, -0.0008, 0.0032, -0.1839, 0.4052, 0.0001, 0.4022, -0.0034000000000000002, 0.4061, -0.0044, 0.0553, 0.0285, 0.40850000000000003, -... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(5) + 0.0 * Z(4) | 4 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101001", "0011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4015) q[0];
rz(0) q[0];
rx(0.4064) q[1];
rz(-0.0034) q[1];
rx(0.4037) q[2];
rz(-0.0038) q[2];
rx(0.0453) q[3];
rz(0.0845) q[3];
rx(0.4051) q[4];
rz(-0.0007) q[4];
rx(0.4072) q[5];
rz(-0.0008) q[5];
rx(0.0032) q[6];
rz(-0.1839) q[6];
crx(-0.3604) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d6ca78958a015bca449989b3cc828628 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [677, 741], "expectation_value": -3.543157331379898, "params": [[1.4044, 0.0025, 1.3752, 0.4257, 1.3766, 0.0024000000000000002, -0.3437, 1.2849000000000002, 0.0023, 1.2466000000000002], [0.24830000000000002, 0.0023, 0.7357, 0.0882, 0.7377, 0.0027, 0.39280000000000004, 1.061, 0.0026000000000000003, -0.2108000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4... | 10 | 10 | 2 | {"smallest_eigenvalues": [-4.125, -4.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.125, "smallest_bitstrings": ["0100010011", "0100011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.4044) q[0];
ry(0.0025) q[1];
ry(1.3752) q[2];
ry(0.4257) q[3];
ry(1.3766) q[4];
ry(0.0024) q[5];
ry(-0.3437) q[6];
ry(1.2849) q[7];
ry(0.0023) q[8];
ry(1.2466) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48615, 48855], "expectation_value": -9.7046743031311, "params": [[0.065, 0.057600000000000005, 0.0641, 0.0685], [-0.0717, -0.052500000000000005, -0.0507, -0.0502]], "bitstrings": ["0100001000011000", "0100000100101000"], "total_optimization_steps": 10, "probabilities": [0.00015773261792980794, 0.00015773629... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 1 | 16 | 4 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999897, "smallest_bitstrings": ["0100000100101000"]} | 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[3], q[1];
rz(0.065) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.065) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.065) q[2];
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": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
-375593607637316818 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 7], [1, 4], [3, 4, 6], [1, 2, 3, 5, 7], [2, 4, 5], [0, 1], [0, 6]]} | {"states": [156, 157], "expectation_value": -0.043674270173838126, "params": [[-0.0589], [0.0703]], "bitstrings": ["01100011", "01100010"], "total_optimization_steps": 10, "probabilities": [0.004192928102726192, 0.004193574220825787], "optimization_time": 3.6030056476593018} | 0.05 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.05 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.1 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.05 * (Z(1) @ Z(3... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["01100010"]} | 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(-0.0059) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0118) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0059) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0255) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 1}, {"source": 2, "target": 3}, {"source": 1, "target": 3}]} | {"states": [2973, 3485], "expectation_value": -7.595739532765845, "params": null, "bitstrings": ["010001100010", "001001100010"], "total_optimization_steps": 100, "probabilities": [0.05944826069420597, 0.8620316846393108], "optimization_time": 352.9686517715454} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.75, "smallest_bitstrings": ["001001100010", "100100001010", "001001010100", "010010100001", "010010001100", "100100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5706) q[11];
ry(1.5706) q[7];
ry(1.5681) q[3];
ry(1.5681) q[0];
cry(1.4449) q[3], q[10];
cry(1.4449) q[3], q[8];
cry(-1.0315) q[4], q[5];
cry(-1.0315) q[1]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5706) q[11];\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];... |
01c509cf41fe904ef36f9c73fa58f4df | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [206, 110], "expectation_value": -8.175078987457304, "params": [[-0.0483], [0.06620000000000001]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.00692474065722731, 0.007792380648219693], "optimization_time": 1.6007254123687744} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 10.0 * Z(1) + 2.0 * Z(0) + 13.0 * Z(2) + 17.5 * Z(5) + 1... | 1 | 8 | 1 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.4347) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4347) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4347) q[2];
cx q[0], q[2];
cx q[2], q[5];
rz(-0.4347) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
b86265187bfb2c2bd15ec1f4006924d5 | 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": 2}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 1, "s... | {"states": [183, 247], "expectation_value": -0.6673648204173078, "params": [[0.0805], [-0.08610000000000001]], "bitstrings": ["101001000", "100001000"], "total_optimization_steps": 10, "probabilities": [0.0029204914030005235, 0.0029967785957755585], "optimization_time": 2.572430372238159} | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + -1.25 * (Z(6) @ Z(7)) + 0.5 * Z(2) + -0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["110001000", "100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0805) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0403) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.2013) q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(-0.1207) q[3];
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;
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];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
eae6e1843b1a1da722a560d42ddc605e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 7, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "so... | {"states": [20034, 3650], "expectation_value": -47.91558389713911, "params": [[[-0.0511, 0.2295], [-0.011600000000000001, 0.7765000000000001], [0.0031000000000000003, -0.0014], [0.9464, 0.0014], [1.5728, 0.0027], [1.5676, 0.0018000000000000002], [0.7615000000000001, 0.0025], [0.0085, -0.0033], [1.2564, 0.00290000000000... | 0.5 * (Z(9) @ Z(13)) + 2.0 * (Z(14) @ Z(13)) + 1.0 * (Z(14) @ Z(9)) + 0.5 * (Z(10) @ Z(13)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(10)) + -1.0 * (Z(4) @ Z(13)) + -2.0 * (Z(4) @ Z(9)) + -2.0 * (Z(4) @ Z(14)) + -2.0 * (Z(4) ... | 15 | 15 | 2 | {"smallest_eigenvalues": [-50.299999999998825], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.49999999999735, "smallest_bitstrings": ["111000110111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.0511) q[0];
ry(-0.0116) q[1];
ry(0.0031) q[2];
ry(0.9464) q[3];
ry(1.5728) q[4];
ry(1.5676) q[5];
ry(0.7615) q[6];
ry(0.0085) q[7];
ry(1.2564) q[8];
ry(-0.006) q[9];
ry(-0.0061) q[10];
ry(0.0025) q[11];
ry(-0.1278) q[12];
ry(-1.5264) q[13];
ry(1.5808) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-5368182025704786211 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3], [5, 7], [3, 7], [2, 7], [1, 2], [3, 5], [0, 2], [5, 6], [0, 7], [4, 6]]} | {"states": [188, 220], "expectation_value": -2.6459342650759057, "params": null, "bitstrings": ["01000011", "00100011"], "total_optimization_steps": 68, "probabilities": [0.04894271543124526, 0.6950916641812755], "optimization_time": 96.85707235336304} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(4... | 1 | 8 | 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": ["11011100", "11010011", "11010010", "10101100", "00101101", "01010011", "00100011", "00101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[7];
cry(-1.0342) q[5], q[6];
ry(0.7625) q[5];
cry(-0.7068) q[3], q[7];
cry(1.1979) q[5], q[0];
cry(-0.7068) q[4], q[6];
cry(1.1319) q[5], q[4];
cry(-1.091) q[1], q[2];
ry(0.97... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
a2309e736a2db650b81578db287977a0 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [4061, 4095], "expectation_value": -18.502710741046727, "params": null, "bitstrings": ["000000100010", "000000000000"], "total_optimization_steps": 100, "probabilities": [0.05785476433719917, 0.31579145927014873], "optimization_time": 351.4355854988098} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -2.5 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) + -2.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5708) q[7], q[10];
cry(1.5709) q[10], q[11];
cry(0.8468) q[10], q[8];
cry(-0.1174) q[10], q[7];
cry(0.0158) q[11], q[7];
ry(-0.1488) q[7];
cry(0.2565) q[8... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[7], q[10];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
be472b2016026c5093c540b6b797236b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [382, 366], "expectation_value": -2.9694286113848123, "params": [0.0179, 0.4646, 0.6921, -0.10700000000000001, 0.1029, -0.29410000000000003, 0.6940000000000001, -0.0273, 0.48300000000000004, -0.21880000000000002, 0.4248, -0.1705, 0.7067, -0.0102, 0.7008, 0.002, 0.6924, 0.0067, -0.0047, 0.44220000000000004, 0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(0) @ Z(3) @ Z(7)) ... | 18 | 10 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.5625, "smallest_bitstrings": ["1001010001", "1000110001", "0101001001", "1000101001", "0111000001", "1010000011", "01100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0179) q[0];
rz(0.4646) q[0];
rx(0.6921) q[1];
rz(-0.107) q[1];
rx(0.1029) q[2];
rz(-0.2941) q[2];
rx(0.694) q[3];
rz(-0.0273) q[3];
rx(0.483) q[4];
rz(-0.2188) q[4];
rx(0.4248) q[5];
rz(-0.1705) q[5];
rx(0.7067) q[6];
rz(-0.0102) q[6];
rx(0.7008) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
9f43fe75b2280c840369a5d99b502e49 | 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": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [14, 42], "expectation_value": -4.496398064640491, "params": null, "bitstrings": ["1110001", "1010101"], "total_optimization_steps": 27, "probabilities": [0.06635227037020759, 0.9303267404393483], "optimization_time": 27.34125304222107} | 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];
ry(-1.5708) q[6];
ry(-1.5681) q[2];
ry(-1.4449) q[0];
ry(1.4417) q[5];
ry(1.4417) q[3];
cry(-1.0343) q[1], q[4];
ry(0.7003) q[1];
cry(-0.1259) q[5], q[0];
ry(-0.4549) q[4];
cry(0.4962) q[5], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [22, 27], "expectation_value": -0.429553828826023, "params": [[-0.06810000000000001, -0.0648, -0.0819], [0.0695, 0.06910000000000001, 0.0762]], "bitstrings": ["101001", "100100"], "total_optimization_steps": 10, "probabilities": [0.02363973972901093, 0.027139454817303368], "optimization_time": 4.398130416870... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0681) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0681) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0681) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(-0.0681) q[3];
cx q[2], q[3];
cx q[3], 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] 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[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
36fc1c5be2c91695283e8185a1ebb45b | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [21, 37], "expectation_value": -3.996397945306564, "params": null, "bitstrings": ["1101010", "1011010"], "total_optimization_steps": 31, "probabilities": [0.06635230077962434, 0.9303266047475932], "optimization_time": 19.45870280265808} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011101", "1100101", "1101010", "0110101", "1011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[0];
ry(-1.5681) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[6];
ry(1.4417) q[4];
cry(-1.0343) q[1], q[2];
ry(0.7003) q[1];
cry(-0.1259) q[6], q[5];
ry(-0.4549) q[2];
cry(0.4962) q[6], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6fb2c7497f239255137102dbdcc36d61 | 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": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [681, 677], "expectation_value": -44.526076808753665, "params": [[[0.49450000000000005, 0.1486], [0.5036, 0.28290000000000004], [-0.023, 0.1227], [0.5021, 0.1904], [0.2867, 0.28850000000000003], [0.49910000000000004, 0.3936], [0.2669, 0.49200000000000005], [0.24080000000000001, 0.08850000000000001], [0.48860... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(10) @ Z(9)) + 1.5 * Z(0) + 7.0 * Z(1) + 5.0 * Z(4) + 6.5 * Z(3) + 0.5 * Z(6) + 8.0 * Z(5) + 0.5 * Z(7) + 8.5 * Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["10101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4945) q[0];
ry(0.5036) q[1];
ry(-0.023) q[2];
ry(0.5021) q[3];
ry(0.2867) q[4];
ry(0.4991) q[5];
ry(0.2669) q[6];
ry(0.2408) q[7];
ry(0.4886) q[8];
ry(0.4426) q[9];
ry(0.5001) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
2818687791134424719 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[1, 4, 5, 7], [1, 3, 5, 9], [0, 9, 3, 6], [5, 6, 7], [9, 2, 4, 7], [9, 3, 4], [3, 4, 7], [0, 5, 7], [8, 4], [1, 2, 11, 6], [8, 6], [1, 2, 3, 5], [9, 2, 6], [8, 1, 10, 9], [0, 1, 10], [1, 10, 3, 4], [1, 2, 4], [9, 10, 5, 1], [3, 11], [9, 11, 7], [9, 4, 5],... | {"states": [4028, 4024], "expectation_value": -8.006182982563082, "params": [2.6925000000000003, -0.0023, 2.8852, -0.002, 3.0909, -0.0017000000000000001, 2.4043, 0.0118, 3.1447000000000003, -0.7134, 0.1413, -0.8166, 2.6584000000000003, 0.0029000000000000002, 3.0358, -0.0033, 3.1409000000000002, -0.0112, 1.5224, 0.97390... | 0.3333333333333333 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(6)) + 0.5833333333333333 * (Z(7) @ Z(1)) + 0.5833333333333333 * (Z(9) @ Z(6)) + 0.3333333333333333 * (Z(9) @ Z(1)) + 0.5833333333333333 * (Z(9) @ Z(7)) + 0.49999999999999994 * (Z(5) @ Z(6)) + 0.49999999999999994 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(7)) +... | 4 | 12 | 1 | {"smallest_eigenvalues": [-8.250000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.249999999999998, "smallest_bitstrings": ["000001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.6925) q[0];
rz(-0.0023) q[0];
rx(2.8852) q[1];
rz(-0.002) q[1];
rx(3.0909) q[2];
rz(-0.0017) q[2];
rx(2.4043) q[3];
rz(0.0118) q[3];
rx(3.1447) q[4];
rz(-0.7134) q[4];
rx(0.1413) q[5];
rz(-0.8166) q[5];
rx(2.6584) q[6];
rz(0.0029) q[6];
rx(3.0358) 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": []} |
aa017fe03799a772a3aff0770f4d70b4 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [11, 15], "expectation_value": -3.499984296406191, "params": null, "bitstrings": ["1110100", "1110000"], "total_optimization_steps": 18, "probabilities": [0.1249982611471617, 0.1249982611471617], "optimization_time": 16.18194603919983} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[5];
cry(1.5681) q[5], q[6];
cry(-1.4449) q[6], q[0];
cry(1.4449) q[6], q[3];
cry(-0.1188) q[5], q[0];
ry(0.1188) q[3];
cry(-0.0067) q[3], q[0];
cry(0.0015) q[3], q[6];
c[0] = measure q[0];
c[... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) 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", "... |
-5597771992919260360 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 12], [8, 2], [9, 10], [3, 7], [6, 7], [0, 11, 12], [11, 6], [0, 4], [8, 5, 6], [2, 12, 7], [8, 4], [10, 11, 5], [10, 7], [1, 2]]} | {"states": [1451, 6331], "expectation_value": -0.04328370153007498, "params": [[0.047], [-0.0376]], "bitstrings": ["1101001010100", "0011101000100"], "total_optimization_steps": 10, "probabilities": [0.00013149818091904526, 0.00013178384373536143], "optimization_time": 4.344600677490234} | 0.5 * (Z(3) @ Z(12)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(12)) + 0.5 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z... | 1 | 13 | 1 | {"smallest_eigenvalues": [-5.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.666666666666665, "smallest_bitstrings": ["0011101000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[12], q[3];
rz(0.047) q[3];
cx q[12], q[3];
cx q[12], q[2];
rz(0.0157) q[2];
cx q[12], q[2];
cx q[2], q[8];
rz(0.047) q[8];
cx q[2], q[8];
cx q[10]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[12], q[3];
rz(x0) q[3];
cx q[12], q[3];
cx q[1... | null | {"circuits": [], "gradients": []} |
692078130164232595 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1], [0, 3], [1, 4], [8, 2], [1, 2], [9, 7], [2, 6], [8, 6], [4, 7], [5, 6], [9, 6], [5, 7], [3, 5], [2, 5], [8, 5], [0, 6], [3, 7], [4, 6], [0, 8]]} | {"states": [350, 334], "expectation_value": -0.7742753564970039, "params": [0.6896, 0.063, 0.6777000000000001, 0.0015, 0.6990000000000001, -0.019, 0.6968000000000001, 0.006500000000000001, 0.7014, 0.034, 0.6895, 0.004200000000000001, 0.7038, -0.0374, 0.7024, 0.0032, 0.6900000000000001, 0.1408, 0.4923, 0.0066, 0.6958000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(5) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010110001", "0101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6896) q[0];
rz(0.063) q[0];
rx(0.699) q[1];
rz(-0.019) q[1];
rx(0.7014) q[2];
rz(0.034) q[2];
rx(0.7038) q[3];
rz(-0.0374) q[3];
rx(0.69) q[4];
rz(0.1408) q[4];
rx(0.6958) q[5];
rz(0.0248) q[5];
rx(0.708) q[6];
rz(-0.0358) q[6];
rx(0.7087) 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": []} |
82a9b805089c1b1c13eff0722cc99710 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -10.999999490159968, "params": null, "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 34, "probabilities": [0.00012303071764065422, 0.9998764648011279], "optimization_time": 46.33837294578552} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[3];
cry(1.5486) q[8], q[2];
ry(-1.4449) q[4];
ry(-1.4434) q[5];
ry(-1.5679) q[1];
ry(-1.4416) q[6];
cry(-0.1274) q[8], q[... | 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[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] = ... |
-5195831292867703356 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 4], [1, 5], [2, 3, 5], [5, 6], [0, 3]]} | {"states": [70, 57], "expectation_value": -2.445503605038245, "params": [[[2.1869, 0.003], [-0.0026000000000000003, 0.0027], [0.1564, 0.0081], [3.1395, 0.0039000000000000003], [0.0017000000000000001, 0.0034000000000000002], [3.1396, 0.0037], [1.6051, 0.0014]]], "bitstrings": ["0111001", "1000110"], "total_optimization_... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(5... | 2 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(2.1869) q[0];
rz(0.003) q[0];
rx(-0.0026) q[1];
rz(0.0027) q[1];
rx(0.1564) q[2];
rz(0.0081) q[2];
rx(3.1395) q[3];
rz(0.0039) q[3];
rx(0.0017) q[4];
rz(0.0034) q[4];
rx(3.1396) q[5];
rz(0.0037) q[5];
rx(1.6051) q[6];
rz(0.0014) q[6];
cx q[6], q[5];
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] 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": []} |
6454289479109820289 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 5, 6], [0, 1, 2, 3, 4], [0, 2, 3, 4, 6], [2, 5], [0, 1, 2, 6], [1, 2, 3, 6], [0, 3, 5]]} | {"states": [106, 120], "expectation_value": -1.6915907090325535, "params": null, "bitstrings": ["0010101", "0000111"], "total_optimization_steps": 33, "probabilities": [0.05010011368371602, 0.8784330305487562], "optimization_time": 36.68609309196472} | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(1)) + 0.13333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7333333333333332, -1.7333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.6499999999999997, "smallest_bitstrings": ["0100110", "0000111"]} | 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(1.4576) q[1];
ry(1.2758) q[3];
cry(-1.0226) q[2], q[5];
ry(0.8071) q[2];
cry(-0.5459) q[3], q[5];
cry(0.4844) q[1], q[2];
cry(-0.3521) q[1], q[5];
cry(0.1985) q[3], q[2];
cry(0.2385) q[1], q[3];
ry(0.3... | 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(1.4576) 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", "... |
df4ecb6ebc48c9049ce6597f2a05ee78 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 7}, {"weight": 20, "source": 1, "target": 6}, {"weight": 18, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -24.945979990862565, "params": [[-0.0244, 0.0037], [0.0707, 0.0637]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.005154361091970401, 0.005936410062584037], "optimization_time": 4.305558204650879} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(4)) + 4.5 * (Z(1) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.2196) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.2196) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.2196) q[4];
cx q[0], q[4];
cx q[2], q[3];
rz(-0.2196) q[3];
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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -0.05004827603744148, "params": [[0.0158], [-0.021500000000000002]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.016007639486765084, 0.016018357920126073], "optimization_time": 1.3509647846221924} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0395) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0474) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0079) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0079) q[2];
cx q[3], q[2];
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;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a0d9e7890df5adf810df05a9e670aeef | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -58.848126069756006, "params": [0.743, -0.4262, 1.582, -0.0007, 1.5803, 0.003, 1.5863, -0.0013000000000000002, 1.5802, -0.19820000000000002, 0.5451, -0.5256000000000001, 1.591, -0.23140000000000002, 0.6898000000000001, -0.4707, 0.7385, 0.0044, 1.5853000000000002, 0.0036000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.743) q[0];
rz(-0.4262) q[0];
rx(1.582) q[1];
rz(-0.0007) q[1];
rx(1.5803) q[2];
rz(0.003) q[2];
rx(1.5863) q[3];
rz(-0.0013) q[3];
rx(1.5802) q[4];
rz(-0.1982) q[4];
rx(0.5451) q[5];
rz(-0.5256) q[5];
rx(1.591) q[6];
rz(-0.2314) q[6];
rx(0.6898) 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", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
3c6a0f75571e718d8fbaf4d718e39505 | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [68, 71], "expectation_value": -5.999934070824497, "params": null, "bitstrings": ["0111011", "0111000"], "total_optimization_steps": 33, "probabilities": [1.3834082752150245e-05, 0.9999481814112822], "optimization_time": 42.85490393638611} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + -1.0 * Z(4) + -1.0 * Z... | 1 | 7 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["0111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[1];
ry(-1.5681) q[2];
ry(1.4449) q[6];
ry(1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[4];
cry(0.1187) q[5], q[6];
cry(0.1188) q[6], q[0];
cry(0.1188) q[0], q[4];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
5496705745399341210 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 3], [8, 0, 4], [8, 5, 7], [8, 9, 1], [1, 4, 5], [8, 0, 5], [3, 5, 6], [0, 1, 7], [9, 4, 7], [1, 3], [9, 2], [9, 1, 7], [8, 2, 5], [1, 9, 6], [3, 6, 7], [2, 3, 4], [9, 5, 6], [0, 9, 8], [0, 3], [4, 6, 7], [8, 9, 6], [0, 2, 5], [1, 2, 4], [1, 2, 6]]} | {"states": [958, 942], "expectation_value": -5.824611299631515, "params": [1.5895000000000001, -0.1302, 1.5276, 0.006900000000000001, 1.5850000000000002, -0.1192, 1.5556, 0.0037, 1.5562, -0.1028, 1.0718, 0.0027, 0.19160000000000002, 0.6559, 0.19870000000000002, 0.0068000000000000005, 1.4622000000000002, -0.370600000000... | 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.166... | 5 | 10 | 1 | {"smallest_eigenvalues": [-6.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.333333333333331, "smallest_bitstrings": ["0001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5895) q[0];
rz(-0.1302) q[0];
rx(1.585) q[1];
rz(-0.1192) q[1];
rx(1.5562) q[2];
rz(-0.1028) q[2];
rx(0.1916) q[3];
rz(0.6559) q[3];
rx(1.4622) q[4];
rz(-0.3706) q[4];
rx(1.1798) q[5];
rz(-0.4089) q[5];
rx(1.5855) q[6];
rz(-0.1319) q[6];
rx(1.5805) 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": []} |
31633d4810748a20f84bd55ea330508c | 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": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"sour... | {"states": [252, 255], "expectation_value": -1.0990924035600906, "params": [[-0.0482], [0.057600000000000005]], "bitstrings": ["00000011", "00000000"], "total_optimization_steps": 10, "probabilities": [0.005564055498413831, 0.005564055498413833], "optimization_time": 1.0142598152160645} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000000", "00000011"]} | 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(0.1928) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1928) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.241) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0482) q[5];
cx q[1], q[5];
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[1], q[0];
rz(x0) q[0];
cx q[1],... | {"node": 6} | {"circuits": [], "gradients": []} |
1a9ed9a666e19120fea8169482f67ae7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -9.946559044918308, "params": [[0.0429], [-0.0663]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.00390423070415893, 0.004388852060687512], "optimization_time": 2.1264843940734863} | 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) ... | 1 | 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;
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(0.3861) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.3861) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.3861) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.3861) q[4];
cx q[0], q[4];
... | 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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
3295697073386190827 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [0, 2], [1, 2, 4], [3, 5], [0, 4], [4, 5], [1, 3]]} | {"states": [25, 14], "expectation_value": -0.08090977906715774, "params": [[-0.0835], [0.0763]], "bitstrings": ["100110", "110001"], "total_optimization_steps": 10, "probabilities": [0.017421229302810294, 0.017438715349010245], "optimization_time": 0.48958921432495117} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.0 * Z(3) + 0.16666666666666674 * Z(2) + 0.0 * Z(0) + 0.16666666666666663... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333334, -2.333333333333334, -2.333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "000110", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(-0.0835) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0.0835) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0835) q[1];
cx q[3], q[1];
cx q[2], q[1];
rz(-0.0278) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
c3748fcc72302775c117f76c5c27415d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [1596, 2044], "expectation_value": -17.078498320349656, "params": null, "bitstrings": ["00111000011", "00000000011"], "total_optimization_steps": 100, "probabilities": [0.08451814672998141, 0.485152941324669], "optimization_time": 281.0835826396942} | -1.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(6)) + -2.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[4], q[3];
cry(1.5708) q[3], q[1];
cry(1.57) q[1], q[0];
cry(1.0167) q[1], q[4];
cry(-1.0464) q[1], q[3];
cry(-0.0327) q[0], q[3];
ry(-0.0775) q[3];
cry(1.3... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
0714803fc241e2360d666ed1e871e287 | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [377, 383], "expectation_value": -0.3581767205891915, "params": [[-0.052500000000000005], [0.0574]], "bitstrings": ["1010000110", "1010000000"], "total_optimization_steps": 10, "probabilities": [0.0012149627712412442, 0.001243673724267646], "optimization_time": 1.508878231048584} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 5 | 10 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(0.1575) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(0.1575) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0525) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.21) q[5];
cx q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4]... | {"node": 1} | {"circuits": [], "gradients": []} |
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": -2.165939554287399, "params": [[0.059300000000000005, 0.0722], [-0.0529, -0.060700000000000004]], "bitstrings": ["1110000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015081495357955756, 0.017647418176334917], "optimization_time": 2.3660595417022705} | -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 | 2 | {"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(-0.1483) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1483) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.089) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.0593) q[3];
cx q[2], q[3];
cx q[0], q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
dd3c8f57e73142440d0a69222859dad4 | 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": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [362, 354], "expectation_value": -4.750380018589248, "params": [0.9016000000000001, 0.0037, 0.9104000000000001, 0.0016, 0.0026000000000000003, 0.5729000000000001, 0.0025, 0.0001, 0.8548, -0.0001, 0.8641000000000001, 0.0064, 0.8435, 0.0012000000000000001, 0.8422000000000001, 0.0013000000000000002, 0.001, 0.52... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010011101", "011110001", "010110101", "011011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.9016) q[0];
rz(0.0037) q[0];
rx(0.0026) q[1];
rz(0.5729) q[1];
rx(0.8548) q[2];
rz(-0.0001) q[2];
rx(0.8435) q[3];
rz(0.0012) q[3];
rx(0.001) q[4];
rz(0.5243) q[4];
rx(0.733) q[5];
rz(0.2281) q[5];
rx(0.7146) q[6];
rz(0.0612) q[6];
rx(0.9008) 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": []} |
5fcc80649738bc6ebb5e6ed34bbe4c7e | 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}], "edges": [{"weight": 10, "source": 0, "... | {"states": [442, 218], "expectation_value": -37.08854291882109, "params": [[-0.0358, -0.0012000000000000001, 0.0066], [0.078, 0.0752, 0.07150000000000001]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.010705739746625588, 0.012884130784121213], "optimization_time": 7.357... | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[1];
rz(-0.3222) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.3222) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.3222) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.3222) q[2];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [20, 6], "expectation_value": -0.27849420067983865, "params": [[-0.028900000000000002, -0.0713], [-0.0051, 0.0702]], "bitstrings": ["01011", "11001"], "total_optimization_steps": 10, "probabilities": [0.03524477025292192, 0.035244770252921956], "optimization_time": 2.6828010082244873} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01011", "11001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0289) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0289) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0289) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0289) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0289) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0... | null | {"circuits": [], "gradients": []} |
1b8d6649e5b2d2cbc97652c70c0a6939 | 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": 4}, {"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 7}, {"source": 3, "target": 8}, {"sour... | {"states": [266, 298], "expectation_value": -3.7718180096127543, "params": [0.2903, 0.2887, 0.12840000000000001, 0.1086, 0.018600000000000002, 0.0195, 0.2883, 0.29400000000000004, -0.0006000000000000001, 0.0032, 0.3037, 0.2983, 0.0654, 0.07010000000000001, 0.3063, 0.3057, -0.0164, -0.0171, 0.2937, 0.2932, 0.1034, 0.105... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + 0.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(7) + -1.0 * Z(8) + -0.... | 13 | 9 | 4 | {"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": ["101011001", "101010101", "101110100", "011011001", "101001011", "100110110", "100101011", "011010101", "011110100", "010110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2903) q[0];
ry(0.1284) q[1];
ry(0.0186) q[2];
ry(0.2883) q[3];
ry(-0.0006) q[4];
ry(0.3037) q[5];
ry(0.0654) q[6];
ry(0.3063) q[7];
ry(-0.0164) q[8];
crz(-0.1483) q[8], q[0];
crz(0.0026) q[7], q[8];
crz(-0.1543) q[6], q[7];
crz(-0.1433) q[5], q[6];
crz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
867451604821958348 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3, 4], [0, 2, 4], [1, 2, 3, 4], [0, 1, 2, 3]]} | {"states": [23, 22], "expectation_value": -0.6169008385787624, "params": [[[1.8753000000000002, 0.0013000000000000002], [1.5197, 0.0036000000000000003], [2.6513, 0.0044], [2.6707, 0.001], [1.5592000000000001, 0.0016]]], "bitstrings": ["01000", "01001"], "total_optimization_steps": 270, "probabilities": [0.1502012921891... | 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.083333333333333, "smallest_bitstrings": ["01001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(1.8753) q[0];
rz(0.0013) q[0];
rx(1.5197) q[1];
rz(0.0036) q[1];
rx(2.6513) q[2];
rz(0.0044) q[2];
rx(2.6707) q[3];
rz(0.001) q[3];
rx(1.5592) q[4];
rz(0.0016) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[4] = ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | null | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 13, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 5}, {"weight": 2... | {"states": [119, 118], "expectation_value": -31.369671372102488, "params": [[0.0256, 0.0036000000000000003, -0.0026000000000000003, -0.0037], [-0.0693, -0.0651, -0.057300000000000004, -0.0485]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014622453383624228, 0.01841719356... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-74.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "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(0.1792) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1792) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1792) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1792) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
426b157e5e7e6cf4e0245aab59ff2a44 | 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": [330, 331], "expectation_value": -61.67247985405679, "params": [[[0.5964, 0.2457], [0.6062000000000001, 0.4229], [0.149, 0.256], [0.5987, 0.5481], [0.1859, 0.548], [-0.0068000000000000005, 0.1499], [0.601, 0.5317000000000001], [0.1429, 0.5750000000000001], [0.1228, 0.3846], [0.5917, 0.0351]], [[0.451, 0.1148... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(4)) + 9.5 * Z(1) + 1.5 * Z(2) + 14.5 * Z(3) + 1.0 * Z(0) + 5.0 * Z(4) + 8.5 * Z(6) + 2.5 * Z(5) + 12.0 * Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1010110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5964) q[0];
ry(0.6062) q[1];
ry(0.149) q[2];
ry(0.5987) q[3];
ry(0.1859) q[4];
ry(-0.0068) q[5];
ry(0.601) q[6];
ry(0.1429) q[7];
ry(0.1228) q[8];
ry(0.5917) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-2269746105006951689 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 3, 4, 5, 6, 7], [0, 1, 3, 4], [0, 4, 5, 6, 7], [0, 2, 5, 6, 7]]} | {"states": [245, 246], "expectation_value": -0.3511662828457979, "params": [[0.381], [-0.3871]], "bitstrings": ["00001010", "00001001"], "total_optimization_steps": 40, "probabilities": [0.00625881443299342, 0.006258814432993422], "optimization_time": 2.1375935077667236} | 0.023809523809523808 * (Z(1) @ Z(2)) + 0.023809523809523808 * (Z(3) @ Z(2)) + 0.10714285714285714 * (Z(3) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(2)) + 0.10714285714285714 * (Z(4) @ Z(1)) + 0.10714285714285714 * (Z(4) @ Z(3)) + 0.07380952380952381 * (Z(5) @ Z(2)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.0238095238... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904, -0.8404761904761904], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -0.8404761904761902, "smallest_bitstrings":... | 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[1];
rz(0.0181) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0181) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0816) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0181) q[4];
cx q[2], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
-2460662058905429005 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 6, 7], [0, 8], [3, 5, 7], [0, 1, 2], [2, 4, 5, 6], [0, 2, 6], [8, 1, 5, 6], [0, 1, 6], [0, 4], [1, 2, 3, 7]]} | {"states": [215, 247], "expectation_value": -1.4192346470228363, "params": [[0.3749], [-0.36410000000000003]], "bitstrings": ["100101000", "100001000"], "total_optimization_steps": 40, "probabilities": [0.008649246947740555, 0.009466387103061477], "optimization_time": 3.798430919647217} | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.41666666666666663 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9166666666666665, "smallest_bitstrings": ["100001000"]} | 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(0.0625) q[0];
cx q[3], q[0];
cx q[3], q[6];
rz(0.0625) q[6];
cx q[3], q[6];
cx q[0], q[6];
rz(0.3124) q[6];
cx q[0], q[6];
cx q[3], q[7];
rz(0.2499) q[7];
cx q[3], q[7];
... | 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];... | null | {"circuits": [], "gradients": []} |
5790406016412728325 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [2, 5], [3, 4], [1, 6], [0, 5], [0, 1], [2, 6, 7], [1, 2]]} | {"states": [85, 170], "expectation_value": -0.06022958789829852, "params": [[0.06330000000000001], [-0.0644]], "bitstrings": ["10101010", "01010101"], "total_optimization_steps": 10, "probabilities": [0.004371982278915499, 0.00439467883602853], "optimization_time": 0.5951504707336426} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5000000000000004, "smallest_bitstrings": ["01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.0633) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0633) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.0633) q[2];
cx q[5], q[2];
cx q[3], q[4];
rz(0.0633) q[4];
cx q[3], q[4];
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;
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(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(x0) q[2];
cx... | null | {"circuits": [], "gradients": []} |
6217701456967150430 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 2, 3, 4], [1, 3]]} | {"states": [25, 29], "expectation_value": -0.3017718940102299, "params": [[-0.4796], [0.4121]], "bitstrings": ["00110", "00010"], "total_optimization_steps": 50, "probabilities": [0.05338853303623299, 0.05438378442080412], "optimization_time": 1.404067039489746} | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.125 * Z(2) + 0.125 * Z(0) + 0.125 * Z(3) + 0.125 * Z(4) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["11000", "00010", "01001", "01100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(-0.0799) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0799) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0799) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0799) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0799) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(x0) q[3];
cx q[0... | null | {"circuits": [], "gradients": []} |
-3703200833243479515 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [0, 6], [0, 2, 3, 5], [0, 2, 7], [1, 2, 3], [1, 4, 6, 7], [0, 1, 3, 4], [3, 7], [4, 5, 7], [1, 5]]} | {"states": [188, 233], "expectation_value": -1.2198863659837111, "params": [[-0.3501], [0.3583]], "bitstrings": ["01000011", "00010110"], "total_optimization_steps": 40, "probabilities": [0.01564590823903981, 0.015762880433065136], "optimization_time": 3.677635431289673} | 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["00010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.1751) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(-0.1751) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(-0.1167) q[6];
cx q[3], q[6];
cx q[4], q[0];
rz(-0.0583) q[0];
cx q[4], q[0];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
aba6fa396d14e467ae0d99dd38e3c99d | 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": 3}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 3, "source": 1, "target": 6... | {"states": [64, 63], "expectation_value": -0.016614180554352265, "params": [[-0.0106], [0.0176]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.00789964943563315, 0.007905588111021935], "optimization_time": 1.9230983257293701} | -0.75 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + 0.0 * Z(3) + -0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.0159) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0053) q[1];
cx q[3], q[1];
cx q[1], q[4];
rz(0.0318) q[4];
cx q[1], q[4];
cx q[3], q[6];
rz(0.0053) q[6];
cx q[3], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
80ea40a1cd4d9bb780bbb97236d9a0bc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "so... | {"states": [206, 214], "expectation_value": -6.793012574044962, "params": [[0.0814, 0.1082, 0.0732, 0.0429], [-0.0745, -0.1338, -0.13620000000000002, -0.1246]], "bitstrings": ["100110001", "100101001"], "total_optimization_steps": 20, "probabilities": [0.023491611264762725, 0.02349161126476274], "optimization_time": 10... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-9.375, -9.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.125, "smallest_bitstrings": ["100110001", "100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[0];
rz(-0.0814) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.1628) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(-0.0814) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.0814) q[6];
cx q[4], 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": 4} | {"circuits": [], "gradients": []} |
9834fff0f6459a91caaf20304fb5b55e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [460, 396], "expectation_value": -2.259092186165887, "params": [[[0.7761, 0.0], [0.8101, -0.0013000000000000002], [0.5246000000000001, 0.15380000000000002], [-0.0048000000000000004, 0.4636], [0.4828, 0.20700000000000002], [0.8416, 0.0009000000000000001], [0.7892, -0.0018000000000000002], [-0.0041, 0.4647], [... | 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)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (Z(5) @ Z(8)) + -0.25 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.25, "smallest_bitstrings": ["010110101", "010110011", "010101011", "101010101", "101010011", "001110101", "001110011... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7761) q[0];
rz(0) q[0];
rx(0.8101) q[1];
rz(-0.0013) q[1];
rx(0.5246) q[2];
rz(0.1538) q[2];
rx(-0.0048) q[3];
rz(0.4636) q[3];
rx(0.4828) q[4];
rz(0.207) q[4];
rx(0.8416) q[5];
rz(0.0009) q[5];
rx(0.7892) q[6];
rz(-0.0018) q[6];
rx(-0.0041) q[7];
rz(0.46... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] 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": []} |
-5348139447634149913 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2, 6], [9, 7], [0, 1, 2, 4], [9, 4, 5], [1, 3, 4, 9], [1, 4, 7], [1, 6, 7], [8, 1, 2, 5], [2, 4, 6], [0, 1, 4, 5], [2, 5, 6, 7], [0, 5, 7], [3, 5, 6, 8, 9], [2, 3, 5, 8, 9]]} | {"states": [921, 985], "expectation_value": -3.776381656222832, "params": [1.5729, 1.5729, 2.3245, 0.8172, 1.5543, 1.5841, -1.1263, -0.4902, 0.0678, -0.0658, 2.1075, 1.0296, 2.2222, 0.9241, 0.051300000000000005, -0.0565, 0.1837, -0.1524, 1.5676, 1.5831000000000002, 0.8589, 0.1024, 0.0022, 0.4333, 0.256, 0.0964, 0.0322,... | 0.3 * (Z(8) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(8)) + 0.05 * (Z(9) @ Z(2)) + 0.1 * (Z(9) @ Z(8)) + 0.05 * (Z(9) @ Z(6)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.8166666666666678], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.7333333333333334, "smallest_bitstrings": ["0000100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5729) q[0];
ry(2.3245) q[1];
ry(1.5543) q[2];
ry(-1.1263) q[3];
ry(0.0678) q[4];
ry(2.1075) q[5];
ry(2.2222) q[6];
ry(0.0513) q[7];
ry(0.1837) q[8];
ry(1.5676) q[9];
crx(0.8589) q[9], q[0];
crx(-1.1482) q[8], q[9];
crx(-0.0047) q[7], q[8];
crx(0.0023) 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": []} |
c5d64ed1606b01b0449fbdbfaa48958e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [382, 318], "expectation_value": -1.4065448544147967, "params": [-0.0119, -0.006200000000000001, 0.5954, 0.5995, 0.18710000000000002, 0.1824, 0.39, 0.3829, 0.5154, 0.4958, 0.604, 0.606, 0.6016, 0.6001000000000001, 0.44680000000000003, 0.4465, 0.3642, 0.3669, 0.18780000000000002, 0.1945, -0.0083, -0.005800000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(2) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(2) @ Z(6) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(8) @ Z(3)) + 0.12... | 14 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010010001", "0100111000", "0100110100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0119) q[0];
ry(0.5954) q[1];
ry(0.1871) q[2];
ry(0.39) q[3];
ry(0.5154) q[4];
ry(0.604) q[5];
ry(0.6016) q[6];
ry(0.4468) q[7];
ry(0.3642) q[8];
ry(0.1878) q[9];
crx(0.2944) q[9], q[0];
crx(-0.1191) q[8], q[9];
crx(0.3347) q[7], q[8];
crx(-0.1441) 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": []} |
6ce86fd90cfcfc8619e1d79aa454f77b | 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": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -11.249999925008895, "params": null, "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 23, "probabilities": [8.328080276446107e-09, 0.9999999833339751], "optimization_time": 29.726074695587158} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.5706) q[1];
ry(-1.5706) q[2];
ry(-1.5706) q[7];
ry(-1.5681) q[5];
ry(-1.5681) q[3];
ry(-1.5681) q[6];
cry(-0.0027) q[8], q[4];
cr... | 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[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
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": 215.2723846435547} | 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 | 2 | {"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... |
cd2d09f3a4abddae99bd986853a70d42 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [162, 418], "expectation_value": -8.097427125386139, "params": [[[0.6141, -0.031, 0.0034000000000000002, 0.0053], [0.735, 0.2162, -0.0454, 0.0005], [-0.0023, 0.5732, 0.0036000000000000003, 0.5749000000000001], [0.3531, -0.0013000000000000002, 0.3524, 0.0059], [-0.0021000000000000003, -0.5751000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) ... | 12 | 9 | 3 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["001011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6141) q[0];
rz(-0.031) q[0];
ry(0.735) q[1];
rz(0.2162) q[1];
ry(-0.0023) q[2];
rz(0.5732) q[2];
ry(0.3531) q[3];
rz(-0.0013) q[3];
ry(-0.0021) q[4];
rz(-0.5751) q[4];
ry(-0.001) q[5];
rz(-0.5908) q[5];
ry(0.0035) q[6];
rz(-0.5692) q[6];
ry(0.3499) 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": []} |
-8124763126179444229 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 6], [3, 7], [0, 1], [2, 4], [5, 6]]} | {"states": [156, 178], "expectation_value": -0.015126655734756023, "params": [[-0.038700000000000005], [0.0436]], "bitstrings": ["01100011", "01001101"], "total_optimization_steps": 10, "probabilities": [0.00402576689446007, 0.00402576689446007], "optimization_time": 0.5989267826080322} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(3) + 0.16666666666666663 * Z(6) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10110100", "01001101", "10100011", "10001101", "01110100", "01100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.0129) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(-0.0129) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(-0.0129) q[6];
cx q[3], q[6];
cx q[3], q[7];
rz(-0.0387) q[7];
cx q[3], q[7];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(x0) q[6];
cx q[4], q[6];
cx q[3], q[6];
rz(x0) q[6];
cx... | null | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.1826386616841746, "params": [[0.0723, 0.078], [-0.0777, -0.0804]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.038854793872211815, 0.04125549740004518], "optimization_time": 2.194798707962036} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"]} | 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(0.0723) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0723) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0723) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.0723) q[2];
cx q[3], q[2];
rz(-0.0723) q[1];
rz(-0.0723) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], ... | null | {"circuits": [], "gradients": []} |
-4961275928088128771 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 2, 4], [0, 2, 3, 4, 5, 6, 7], [1, 3, 4, 5, 6, 8], [8, 1, 2, 3], [1, 3, 4, 5, 6, 7], [0, 1, 5, 6, 7, 8], [8, 2, 5, 7], [0, 1, 3, 4]]} | {"states": [319, 315], "expectation_value": -1.6868154019775332, "params": null, "bitstrings": ["011000000", "011000100"], "total_optimization_steps": 51, "probabilities": [0.01753559058732262, 0.92843221570345], "optimization_time": 137.51696276664734} | 0.11666666666666667 * (Z(0) @ Z(8)) + 0.25 * (Z(2) @ Z(8)) + 0.10714285714285714 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(8)) + 0.19047619047619047 * (Z(4) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(8)) + 0.10714285714285714 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(3) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7071428571428573], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6595238095238094, "smallest_bitstrings": ["011000100"]} | 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(1.4745) q[8];
ry(1.2968) q[4];
ry(0.9133) q[5];
ry(0.6264) q[3];
cry(0.4369) q[8], q[3];
cry(-0.4811) q[3], q[1];
cry(0.3823) q[8], q[5];
cry(-0.4012) q[0], q[1];
cry(0.3016) q[5], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.4745) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
7088493197993040929 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 6], [1, 4], [3, 5], [1, 5], [2, 4], [2, 5], [2, 6]]} | {"states": [7, 120], "expectation_value": -2.9633339978736024, "params": null, "bitstrings": ["1111000", "0000111"], "total_optimization_steps": 60, "probabilities": [0.03677391817476327, 0.7531605981751801], "optimization_time": 68.5186915397644} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0000111", "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];
cry(-1.0342) q[2], q[5];
cry(-1.0342) q[2], q[6];
ry(0.7625) q[2];
cry(-1.31) q[2], q[4];
cry(1.5165) q[2], q[1];
cry(-0.8071) q[1], q[5];
cry(1.3376) q[1], q[3];
cry(-0.7068) q[0], q[6];
cry(1.1319) q[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];\ncry(-1.0342) 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];\nc[6] = measure q[6... |
bef0417311034f9a136e6c27306ac85d | 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": [286, 31], "expectation_value": -78.90891859869447, "params": [[[1.5733000000000001, 0.4081], [-0.0023, 0.4126], [-0.0043, 0.0047], [-1.5730000000000002, 1.5685], [-1.5725, 1.5688], [1.5685, 1.5686], [-1.03, 1.5729], [1.7094, 1.4256], [1.5736, 1.5681]]], "bitstrings": ["011100001", "111100000"], "total_optim... | 7.0 * (Z(0) @ Z(4)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(7)) + 14.5 * Z(4) + 12.0 * Z(0) + 8.0 * Z(5) + 4.5 * Z(3) + 20.0 * Z(7) + 17.0 * Z(6) + 14.0 * Z(8) + -12.... | 15 | 9 | 1 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["111100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.5733) q[0];
ry(-0.0023) q[1];
ry(-0.0043) q[2];
ry(-1.573) q[3];
ry(-1.5725) q[4];
ry(1.5685) q[5];
ry(-1.03) q[6];
ry(1.7094) q[7];
ry(1.5736) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
94ae9b5255899c7020c27bb014e7a10e | 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": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [741, 709], "expectation_value": -87.9717048320819, "params": [0.31570000000000004, -0.0074, 0.7986000000000001, -0.0012000000000000001, 0.3907, 0.2545, 0.7981, 0.0497, 0.8062, -0.031900000000000005, 0.4988, -0.15610000000000002, 0.3064, 0.28400000000000003, 0.1794, 0.035500000000000004, 0.7975, 0.0034000000... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(6) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 0.5 * Z(0) + 15.0 * Z(1) + 18.0 * Z(3) + 5.0 * Z(2) + 8.5 * Z(4) + 10.0 * Z(... | 4 | 11 | 3 | {"smallest_eigenvalues": [-125.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["10100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.3157) q[0];
rz(-0.0074) q[0];
rx(0.7986) q[1];
rz(-0.0012) q[1];
rx(0.3907) q[2];
rz(0.2545) q[2];
rx(0.7981) q[3];
rz(0.0497) q[3];
rx(0.8062) q[4];
rz(-0.0319) q[4];
rx(0.4988) q[5];
rz(-0.1561) q[5];
rx(0.3064) q[6];
rz(0.284) q[6];
rx(0.1794) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
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