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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
1d36f605f450bd24c53bed4c61ab6422 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [38815, 47007], "expectation_value": -19.165916239921003, "params": [1.0142, 0.0339, -0.0037, 1.222, 0.5868, 0.9111, 1.2044000000000001, -0.1448, 0.35000000000000003, -1.0391000000000001, 1.4122000000000001, -0.2726, 1.077, 0.0073, 0.8209000000000001, 0.0538, 1.062, -0.0374, -0.003, -1.2371, 0.16620000000000... | -0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(11) @ Z(3)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(6... | 3 | 16 | 3 | {"smallest_eigenvalues": [-19.166666666666586], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.166666666666583, "smallest_bitstrings": ["0100100001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(1.0142) q[0];
rz(0.0339) q[0];
rx(-0.0037) q[1];
rz(1.222) q[1];
rx(0.5868) q[2];
rz(0.9111) q[2];
rx(1.2044) q[3];
rz(-0.1448) q[3];
rx(0.35) q[4];
rz(-1.0391) q[4];
rx(1.4122) q[5];
rz(-0.2726) q[5];
rx(1.077) q[6];
rz(0.0073) q[6];
rx(0.8209) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-8634747951560216277 | hypermaxcut | vqe | {"nodes": [0, 1, 2], "hyperedges": [[0, 2], [1, 2]]} | {"states": [2, 6], "expectation_value": -0.49977833717006237, "params": [[[1.5825, 0.0018000000000000002, 0.0006000000000000001, 0.0027], [1.5834000000000001, -0.0019, 1.5854000000000001, 0.0039000000000000003], [1.5704, 0.0034000000000000002, 0.006500000000000001, 0.0037]]], "bitstrings": ["101", "001"], "total_optimi... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 11 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
ry(1.5825) q[0];
rz(0.0018) q[0];
ry(1.5834) q[1];
rz(-0.0019) q[1];
ry(1.5704) q[2];
rz(0.0034) q[2];
cx q[1], q[0];
ry(1.5854) q[1];
rz(0.0039) q[1];
cx q[2], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] q;
ry(x0) q[0];
rz(x1) q[0];
ry(x2) q[1];
rz(x3) q[1];
ry(x4) q[2];
rz(x5) q[2];
cx q[1], q[0];
ry(x6) ... | null | {"circuits": [], "gradients": []} |
-282258588457697216 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [0, 4, 5, 6, 7], [0, 1, 2]]} | {"states": [166, 167], "expectation_value": -0.9046108114109822, "params": null, "bitstrings": ["01011001", "01011000"], "total_optimization_steps": 61, "probabilities": [0.10213776712317282, 0.11618470106424694], "optimization_time": 79.65374541282654} | 0.5 * (Z(3) @ Z(5)) + 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(4) @ Z(5)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337, -1.0333333333333337], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.0333333333333334, "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];
ry(1.0792) q[0];
cry(-1.0342) q[5], q[3];
ry(0.8039) q[5];
ry(-0.5403) q[3];
cry(0.4806) q[0], q[5];
cry(-0.3407) q[0], q[3];
cry(0.2952) q[5], q[0];
cry(-0.3928) q[2], q[1];
cry(-0.3009) q[1], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.0792) 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[... |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [3, 12], "expectation_value": -0.08534452905223587, "params": [[-0.0413, -0.043000000000000003, 0.023200000000000002], [0.049, 0.056600000000000004, 0.0089]], "bitstrings": ["1100", "0011"], "total_optimization_steps": 10, "probabilities": [0.06973794603284134, 0.06973794603284136], "optimization_time": 1.44... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.0413) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0413) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0413) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0413) q[1];
cx q[3], q[1];
rz(0.0413) q[2];
rz(0.0413) q[0];
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[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[... | null | {"circuits": [], "gradients": []} |
3469748cd4dcce50adb557c4a78b9b74 | 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": [591, 583], "expectation_value": -100.84782724867284, "params": [0.0029000000000000002, 0.005, 2.5946000000000002, 0.0056, -0.0028, 0.007, 1.1588, 0.009600000000000001, 2.6094, 0.0082, -0.0018000000000000002, 0.0049, 0.0025, 0.0061, 1.4858, 0.0082, 2.5858000000000003, 0.0015, 2.6003000000000003, 0.0074, 2.60... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(10) @ Z(8)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(2) @ Z(10)) + 8.0 * (Z(9) @ Z(8)) + 8.0 * (Z(9) @ Z(7)) + 8.0 * (Z(9) @ Z(10)) + -5.0 * Z(0) + 15.0 * Z(1) + 4.5 * Z(3) + 14.0 * Z(4)... | 18 | 11 | 1 | {"smallest_eigenvalues": [-128.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -122.0, "smallest_bitstrings": ["10110111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0029) q[0];
rz(0.005) q[0];
rx(2.5946) q[1];
rz(0.0056) q[1];
rx(-0.0028) q[2];
rz(0.007) q[2];
rx(1.1588) q[3];
rz(0.0096) q[3];
rx(2.6094) q[4];
rz(0.0082) q[4];
rx(-0.0018) q[5];
rz(0.0049) q[5];
rx(0.0025) q[6];
rz(0.0061) q[6];
rx(1.4858) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
8935544885882604225 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [3, 6, 7], [1, 3, 5, 6], [2, 5, 6, 7], [1, 5, 6, 7], [1, 3, 4, 5], [0, 7], [0, 1, 2, 5], [0, 1, 2, 6], [3, 4, 5, 6], [1, 3, 7], [0, 4, 6]]} | {"states": [182, 79], "expectation_value": -1.7544915628108206, "params": [[0.37320000000000003], [-0.371]], "bitstrings": ["01001001", "10110000"], "total_optimization_steps": 40, "probabilities": [0.018315614186679968, 0.019514086367446663], "optimization_time": 2.1833908557891846} | 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.1666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2499999999999996, "smallest_bitstrings": ["10110000"]} | 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[2];
rz(0.3732) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.1244) q[3];
cx q[4], q[3];
cx q[4], q[6];
rz(0.1866) q[6];
cx q[4], q[6];
cx q[2], q[6];
rz(0.1244) q[6];
cx q[2], q[6];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | null | {"circuits": [], "gradients": []} |
2c6adc04456c07f756e946e604f895a5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [62, 254], "expectation_value": -10.075362482690357, "params": null, "bitstrings": ["11000001", "00000001"], "total_optimization_steps": 100, "probabilities": [0.09507378988065254, 0.38489417358159017], "optimization_time": 208.65604305267334} | -1.0 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["00000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[6], q[2];
cry(1.5708) q[2], q[4];
cry(0.9755) q[2], q[3];
cry(0.1038) q[4], q[6];
ry(-0.1918) q[6];
cry(0.1918) q[2], q[6];
cry(0.0968) q[3], q[6];
cry(-0.1841) q[4], q[3];
cry(0.479... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[6], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
6206337d7d1967e1d98c4b708b2f9aeb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1717, 1719], "expectation_value": -3.228598644042176, "params": [1.5763, -0.006500000000000001, 1.6069, 0.45980000000000004, 0.057600000000000005, 0.9025000000000001, 1.4481000000000002, -0.4667, 0.28700000000000003, -0.8389000000000001, 1.6953, -0.0218, 1.5772000000000002, 0.325, -0.0058000000000000005, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (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(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 18 | 11 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.5763) q[0];
rz(-0.0065) q[0];
rx(1.6069) q[1];
rz(0.4598) q[1];
rx(0.0576) q[2];
rz(0.9025) q[2];
rx(1.4481) q[3];
rz(-0.4667) q[3];
rx(0.287) q[4];
rz(-0.8389) q[4];
rx(1.6953) q[5];
rz(-0.0218) q[5];
rx(1.5772) q[6];
rz(0.325) q[6];
rx(-0.0058) 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": []} |
cb943fcd43d9f749780630b91be79506 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [199, 223], "expectation_value": -7.371789026401859, "params": null, "bitstrings": ["100111000", "100100000"], "total_optimization_steps": 100, "probabilities": [0.12621701500811097, 0.5246779241019593], "optimization_time": 224.5887794494629} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[3];
cry(1.5626) q[5], q[4];
cry(-1.5626) q[8], q[0];
ry(0.9494) q[8];
ry(-0.4938) q[0];
cry(1.5016) q[8], q[2];
cry(1.4921) q[5], q[7];
cry(0.9259) q[4], q[5];
cry(1.557) q[7... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [50, 35], "expectation_value": -4.499937482234167, "params": null, "bitstrings": ["001101", "011100"], "total_optimization_steps": 24, "probabilities": [1.6356494445438173e-05, 0.9999687417661177], "optimization_time": 20.744800806045532} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[4];
ry(1.4417) q[5];
ry(1.4417) q[0];
cry(-0.1259) q[5], q[1];
cry(0.1217) q[4], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[4];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5974ecf02555173ea2b0dd161261d402 | 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": 1, "target": 7}, {"source": 2, "target": 3}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"sour... | {"states": [73, 201], "expectation_value": -2.5067716581218265, "params": [0.39390000000000003, 0.3937, 0.3981, 0.3886, 0.3975, 0.397, -0.0022, 0.0016, 0.0438, 0.0506, 0.397, 0.39380000000000004, 0.39280000000000004, 0.39640000000000003, 0.38780000000000003, 0.3914, 0.404, 0.4057, 0.3879, 0.38930000000000003, 0.3927, 0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + 0.0 * Z(0) + -1.0 * Z(7) + 0.0 * Z(1) + -1.5 * Z(3) + -1.0 * Z(6) + 0.0 * Z(8) + -1.0 ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001101110", "001010111", "001001111", "011110100", "001110110", "110111000", "100110110", "001111010", "100111010", "110110100",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3939) q[0];
ry(0.3981) q[1];
ry(0.3975) q[2];
ry(-0.0022) q[3];
ry(0.0438) q[4];
ry(0.397) q[5];
ry(0.3928) q[6];
ry(0.3878) q[7];
ry(0.404) q[8];
crz(-0.0036) q[8], q[0];
crz(-0.0164) q[7], q[8];
crz(-0.1765) q[6], q[7];
crz(0.1218) q[5], q[6];
crz(-0.18... | OPENQASM 3.0;
include "stdgates.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": []} |
1662930754262246553 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 5, 10], [1, 3], [1, 2], [6, 7], [8, 6], [9, 7], [2, 11]]} | {"states": [2809, 2777], "expectation_value": -2.7017900630380134, "params": [1.2364000000000002, 0.8437, 0.19, 0.1867, 1.0075, 0.7843, 0.2326, 0.2223, 1.3525, 1.3556000000000001, 1.3997000000000002, 1.4011, 0.7777000000000001, 0.7807000000000001, 1.2912000000000001, 1.1933, 1.3677000000000001, 1.365, 0.184800000000000... | 0.05 * (Z(0) @ Z(5)) + 0.05 * (Z(6) @ Z(5)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(7) @ Z(5)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(6)) + 0.05 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(0)) + 0.05 * (Z(2) @ Z(6)) + 0.05 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2, -3.2], "number_of_smallest_eigenvalues": 30, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01110... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.2364) q[0];
ry(0.19) q[1];
ry(1.0075) q[2];
ry(0.2326) q[3];
ry(1.3525) q[4];
ry(1.3997) q[5];
ry(0.7777) q[6];
ry(1.2912) q[7];
ry(1.3677) q[8];
ry(0.1848) q[9];
ry(0.2062) q[10];
ry(1.3905) q[11];
crz(0.0038) q[11], q[0];
crz(0.5597) q[10], q[11];
crz... | OPENQASM 3.0;
include "stdgates.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": []} |
4c97295c4d10fd438512879e76a3fa94 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {... | {"states": [124, 118], "expectation_value": -17.32591047350151, "params": [[-0.0463], [0.17220000000000002]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 20, "probabilities": [0.015915378741216617, 0.01604560091523164], "optimization_time": 1.720106601715088} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 12.5 * Z(1) + 4.5 * Z(0) + 9.5 * Z(2) + 5.5 * Z(3) + 8.5 * Z(4) + 11.0 * Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-52.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.3704) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3704) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3704) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3704) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
236eee02726333745789aca07c73fbad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 30], "expectation_value": -9.81591039564931, "params": [-0.46180000000000004, 0.40700000000000003, 0.23390000000000002, 0.6642, -0.4479, -0.006900000000000001, -0.4441, 0.2732, -0.44380000000000003, 0.2795, -0.4506, 0.0424, 0.0536, 1.2808000000000002, -0.22190000000000001, 1.2159, 0.40890000000000004, 0.... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 6 | 5 | 4 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.4618) q[0];
rz(0.407) q[0];
rx(-0.4479) q[1];
rz(-0.0069) q[1];
rx(-0.4438) q[2];
rz(0.2795) q[2];
rx(0.0536) q[3];
rz(1.2808) q[3];
rx(0.4089) q[4];
rz(0.5265) q[4];
crx(-0.0905) q[4], q[3];
crx(0.9688) q[4], q[2];
crx(0.9407) q[4], q[1];
crx(1.2198) 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[... | {"node": 4} | {"circuits": [], "gradients": []} |
c24dd733315066f7c7da3d578f954d8c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 2}]} | {"states": [43, 47], "expectation_value": -2.1168442254466315, "params": [0.402, -0.0024000000000000002, -0.0151, 0.2165, 0.4056, 0.0941, 0.40490000000000004, 0.0058000000000000005, 0.4038, -0.0024000000000000002, 0.4057, -0.0022, 0.40840000000000004, -0.0026000000000000003, -0.0106, 0.22490000000000002, 0.407900000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.402) q[0];
rz(-0.0024) q[0];
rx(-0.0151) q[1];
rz(0.2165) q[1];
rx(0.4056) q[2];
rz(0.0941) q[2];
rx(0.4049) q[3];
rz(0.0058) q[3];
rx(0.4038) q[4];
rz(-0.0024) q[4];
rx(0.4057) q[5];
rz(-0.0022) q[5];
crz(0.0044) q[5], q[4];
crz(0.0013) q[4], q[3];
crz(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": []} |
-2837685049463093068 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [3, 6], [0, 4], [2, 7], [0, 2, 5], [4, 6, 7], [3, 4, 7], [0, 6, 7], [1, 3], [4, 5, 7], [1, 6]]} | {"states": [110, 149], "expectation_value": -0.07293236076093201, "params": [[-0.06380000000000001], [0.054200000000000005]], "bitstrings": ["10010001", "01101010"], "total_optimization_steps": 20, "probabilities": [0.004227385436496631, 0.00424427996909891], "optimization_time": 2.673107147216797} | 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334, -3.333333333333334], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01101010", "01101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(-0.0638) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(-0.0213) q[3];
cx q[7], q[3];
cx q[1], q[3];
rz(-0.0638) q[3];
cx q[1], q[3];
cx q[7], q[6];
rz(-0.0425) q[6];
cx q[7], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[7], q[3];
rz(x1) q[3];
cx q[... | null | {"circuits": [], "gradients": []} |
a99f86c3cb9c5f9afbf3a51c1f63c621 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -21.511613254051717, "params": [[[-0.0086, 0.0015], [-0.0057, -0.0012000000000000001], [0.006900000000000001, 0.0024000000000000002], [0.0021000000000000003, 0.0031000000000000003], [0.005200000000000001, -0.0025], [0.0026000000000000003, -0.0024000000000000002], [0.0038, -0.... | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + 1.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(6)) + -1.0 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0086) q[0];
ry(-0.0057) q[1];
ry(0.0069) q[2];
ry(0.0021) q[3];
ry(0.0052) q[4];
ry(0.0026) q[5];
ry(0.0038) q[6];
ry(0.0055) q[7];
ry(-1.5235) q[8];
ry(-0.0381) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
04943d12be9331cc9245456617bb8845 | max_flow | 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": [426, 442], "expectation_value": -29.530757974747587, "params": [-0.003, -0.7514000000000001, 0.0029000000000000002, 1.4725000000000001, 0.0029000000000000002, 1.467, 0.0026000000000000003, 1.4769, 1.5718, 0.0041, 1.5858, 0.0641, 0.7222000000000001, 0.6077, 1.588, -0.005, 0.9085000000000001, 0.41700000000000... | -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))... | 18 | 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;
rx(-0.003) q[0];
rz(-0.7514) q[0];
rx(0.0029) q[1];
rz(1.4725) q[1];
rx(0.0029) q[2];
rz(1.467) q[2];
rx(0.0026) q[3];
rz(1.4769) q[3];
rx(1.5718) q[4];
rz(0.0041) q[4];
rx(1.5858) q[5];
rz(0.0641) q[5];
rx(0.7222) q[6];
rz(0.6077) q[6];
rx(1.588) 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": 5} | {"circuits": [], "gradients": []} |
-215686296995066948 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4, 6, 7], [2, 3, 4, 6], [1, 4, 6, 7], [1, 5]]} | {"states": [202, 218], "expectation_value": -1.156254852584957, "params": null, "bitstrings": ["00110101", "00100101"], "total_optimization_steps": 57, "probabilities": [0.22276519547892162, 0.34110205457186615], "optimization_time": 431.6376793384552} | 0.08333333333333333 * (Z(0) @ Z(4)) + 0.25 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["11100000", "11010000", "00001100", "00010101", "00100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.3016) q[4];
cry(-1.0342) q[1], q[5];
ry(0.7841) q[1];
ry(-0.5247) q[5];
cry(0.49) q[4], q[1];
cry(-0.3534) q[4], q[5];
cry(-0.3589) q[6], q[7];
ry(0.4269) q[6];
cry(0.1802) q[6], 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];\nry(1.3016) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
5a5a77559134f24239cd09ffc52fdc65 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [126, 94], "expectation_value": -72.09799608500747, "params": [0.0019, 1.0094, 1.3984, -0.0826, 0.7729, -0.2833, 1.3954, 0.0041, 1.3929, 0.0033, 1.3931, 0.0031000000000000003, 1.3904, -0.0095, 0.0031000000000000003, -0.7772, 0.0017000000000000001, 0.0036000000000000003, 1.4045, 0.0088, 0.7761, 0.005200000000... | 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(3) @ Z(5)) + 5.5 * (Z(2) @ Z(5)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(3)) + -2.5 * Z(0) + 10.0 * Z(1) + 23.5 *... | 18 | 8 | 2 | {"smallest_eigenvalues": [-83.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["10100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0019) q[0];
rz(1.0094) q[0];
rx(1.3984) q[1];
rz(-0.0826) q[1];
rx(0.7729) q[2];
rz(-0.2833) q[2];
rx(1.3954) q[3];
rz(0.0041) q[3];
rx(1.3929) q[4];
rz(0.0033) q[4];
rx(1.3931) q[5];
rz(0.0031) q[5];
rx(1.3904) q[6];
rz(-0.0095) q[6];
rx(0.0031) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | edge_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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [437, 413], "expectation_value": -2.660231778193927, "params": null, "bitstrings": ["001001010", "001100010"], "total_optimization_steps": 83, "probabilities": [0.04562671263837602, 0.6558978074553553], "optimization_time": 215.73703289031982} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.... | 1 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "001100010", "010100001"]} | 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(-1.3016) q[5], q[3];
cry(-1.1871) q[8], q[7];
ry(1.1774) q[6];
ry(1.0102) q[4];
cry(-0.5426) q[1], q[7];
cry(-0.4693) q[0], q[3];
cry(0.4774) q[6], q[4];
ry(0.5788) q[5];
cry(-0.9456) ... | 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(-1.3016) q[5], 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];\n... |
3fa23bf7f5997a6a9414c1a1e69c52c7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [56, 67], "expectation_value": -0.09643050117592364, "params": [[0.0417], [-0.0397]], "bitstrings": ["1000111", "0111100"], "total_optimization_steps": 20, "probabilities": [0.00825584827105167, 0.00830881834026563], "optimization_time": 1.4807021617889404} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001011", "1011010", "1000111", "0111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0417) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0417) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0417) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0417) q[4];
cx q[0], q[4];
cx q[3], q[4];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
52dd575f6b3baf37cbe77a1b25d4d01f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -18.052744749498025, "params": [-0.1263, 0.0363, -0.0473, 0.0251, 0.003, 0.2926, 0.0011, 0.2657, 0.4017, 0.0033, 0.40440000000000004, 0.0023, -0.0025, 0.24960000000000002, 0.0078000000000000005, 0.3146, -0.1148, 0.0026000000000000003, -0.0313, 0.0864, -0.0058000000000000005, 0.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(0)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(10)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(10)) + -0.75 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(... | 6 | 11 | 2 | {"smallest_eigenvalues": [-22.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.1263) q[0];
rz(0.0363) q[0];
rx(0.003) q[1];
rz(0.2926) q[1];
rx(0.4017) q[2];
rz(0.0033) q[2];
rx(-0.0025) q[3];
rz(0.2496) q[3];
rx(-0.1148) q[4];
rz(0.0026) q[4];
rx(-0.0058) q[5];
rz(0.2664) q[5];
rx(0.0016) q[6];
rz(0.3177) q[6];
rx(0.1453) 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] 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 floa... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
b86a4033b046c77102bc23e2de45941c | 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": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [116, 108], "expectation_value": -2.9014088109785443, "params": [0.0026000000000000003, 0.48950000000000005, 0.0007, 0.009300000000000001, 0.903, -0.055, 0.909, 0.0016, 0.9068, -0.0345, 0.9081, 0.0064, 0.9053, -0.3628, 0.8999, 0.0005, 0.8984000000000001, -0.21480000000000002, 0.894, 0.0017000000000000001, 0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(5) + -1.0 * Z(0) + -1.0 * Z(7) + -0.5 * Z(3) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 5 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["10001011", "10010011", "00010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0026) q[0];
rz(0.4895) q[0];
rx(0.903) q[1];
rz(-0.055) q[1];
rx(0.9068) q[2];
rz(-0.0345) q[2];
rx(0.9053) q[3];
rz(-0.3628) q[3];
rx(0.8984) q[4];
rz(-0.2148) q[4];
rx(0.8446) q[5];
rz(-0.0267) q[5];
rx(-0.0008) q[6];
rz(-0.1272) q[6];
rx(0.0142) 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": []} |
-137729522009583040 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 7], [1, 5], [2, 5], [2, 6], [2, 4], [5, 6], [0, 1], [1, 6], [3, 7], [3, 5], [0, 4], [8, 2]]} | {"states": [240, 271], "expectation_value": -0.02458286243246384, "params": [[0.030000000000000002], [-0.0344]], "bitstrings": ["100001111", "011110000"], "total_optimization_steps": 10, "probabilities": [0.0020179603487857816, 0.0020179603487857816], "optimization_time": 1.7819361686706543} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(8) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["011110000", "101001010", "010110101", "100001111"]} | 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[7], q[4];
rz(0.03) q[4];
cx q[7], q[4];
cx q[5], q[1];
rz(0.03) q[1];
cx q[5], q[1];
cx q[4], q[2];
rz(0.03) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(0.03) q[2];
cx q[5], q[2];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];... | null | {"circuits": [], "gradients": []} |
fc004364023d9de40312a47332ff3203 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 34], "expectation_value": -0.2972885227590858, "params": [[-0.054900000000000004, 0.078], [0.08, -0.0502]], "bitstrings": ["101010", "011101"], "total_optimization_steps": 10, "probabilities": [0.017724310434756172, 0.017789284151442857], "optimization_time": 2.90104341506958} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 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": ["011101", "100111", "101011", "010111", "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[1], q[0];
rz(-0.0549) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0549) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0549) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.0549) q[5];
cx q[3], q[5];
cx q[1], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
5aa41fa14f6a892e69fb2ef8bf1750a6 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [98, 102], "expectation_value": -4.834831110645816, "params": [0.0011, -0.4449, -0.0085, 0.0006000000000000001, -0.0039000000000000003, 0.5026, -0.004, 0.0035, 0.9008, 0.0009000000000000001, 0.9081, 0.008400000000000001, 0.8977, -0.0014, 0.899, 0.0015, 0.6929000000000001, -0.096, 0.6937, 0.009300000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + -1.0 * Z(3) ... | 7 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["110011001", "110001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0011) q[0];
rz(-0.4449) q[0];
rx(-0.0039) q[1];
rz(0.5026) q[1];
rx(0.9008) q[2];
rz(0.0009) q[2];
rx(0.8977) q[3];
rz(-0.0014) q[3];
rx(0.6929) q[4];
rz(-0.096) q[4];
rx(0.0015) q[5];
rz(0.4618) q[5];
rx(0.8598) q[6];
rz(-0.004) q[6];
rx(0.9097) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
6ce5e792c8c7a81b3ba7516b16638615 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [0, 2047], "expectation_value": -29.1506145708226, "params": [[[-0.0029000000000000002, 1.6044], [0.0019, -0.0031000000000000003], [0.0033, -0.0027], [0.0017000000000000001, 0.0022], [0.0025, 0.002], [0.0017000000000000001, 0.002], [0.0027, 0.0022], [-0.0035, -0.003], [0.0032, -0.003], [0.0035, 0.00290000000... | -3.5 * (Z(0) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.5 * (Z(6) @ Z(0)) + -3.5 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(1)) + -3.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 ... | 15 | 11 | 1 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0029) q[0];
ry(0.0019) q[1];
ry(0.0033) q[2];
ry(0.0017) q[3];
ry(0.0025) q[4];
ry(0.0017) q[5];
ry(0.0027) q[6];
ry(-0.0035) q[7];
ry(0.0032) q[8];
ry(0.0035) q[9];
ry(0.0028) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 6} | {"circuits": [], "gradients": []} |
-8833735960334047061 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [0, 2, 5], [1, 5, 6], [3, 4, 5], [0, 1, 3], [0, 1, 2], [4, 6], [1, 2, 4]]} | {"states": [54, 62], "expectation_value": -2.19950004103524, "params": null, "bitstrings": ["1001001", "1000001"], "total_optimization_steps": 44, "probabilities": [0.2679113125538233, 0.5898374505754617], "optimization_time": 51.59697341918945} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0100100", "1001001", "1000001"]} | 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(1.5298) q[1];
ry(1.2295) q[5];
cry(-1.2197) q[4], q[6];
ry(0.7752) q[4];
cry(-1.3178) q[4], q[0];
ry(-0.5285) q[6];
cry(0.4404) q[1], q[4];
cry(0.3167) q[1], q[5];
cry(-0.2231) q[1], q[6];
ry(0.6342) q... | 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(1.5298) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
0609beb0244f504071355435b704f83a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 2, "source": 2, "target": 3}, {"weight": 14, "source": 2, "targ... | {"states": [187, 182], "expectation_value": -50.10463587076152, "params": [[-0.028, 0.0014, 0.006500000000000001, 0.0024000000000000002], [0.0756, 0.0623, 0.051300000000000005, 0.0528]], "bitstrings": ["101000100", "101001001"], "total_optimization_steps": 10, "probabilities": [0.009810340961666102, 0.01153019191196109... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-109.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -101.0, "smallest_bitstrings": ["101001001"]} | 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(-0.252) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.252) q[3];
cx q[1], q[3];
cx q[3], q[2];
rz(-0.252) q[2];
cx q[3], q[2];
cx q[1], q[4];
rz(-0.252) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
3923277070428017621 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 1], [1, 7], [0, 3, 4, 6, 7, 9], [2, 4], [9, 2, 5], [0, 2, 3, 6], [0, 3, 6, 7, 8, 9], [9, 3, 5], [9, 2, 6]]} | {"states": [711, 709], "expectation_value": -3.1326023114865453, "params": [1.6968, -0.031100000000000003, 1.3374000000000001, 0.009600000000000001, 0.1333, -0.0351, -0.1258, 0.0026000000000000003, 1.7783, -0.040400000000000005, 1.3503, 0.0091, 2.1155, -0.0379, 1.0148000000000001, 0.0016, 0.2889, -0.040400000000000005,... | 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.06666666666666667 * (Z(7) @ Z(9)) + 0.06666666666666667 * (Z(0) @ Z(9)) + 0.06666666666666667 * (Z(0) @ Z(7)) + 0.23333333333333334 * (Z(3) @ Z(9)) + 0.06666666666666667 * (Z(3) @ Z(7)) + 0.15 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(9)) + 0.03333333333333333 * (Z(... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.1499999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1166666666666663, "smallest_bitstrings": ["0100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6968) q[0];
rz(-0.0311) q[0];
rx(0.1333) q[1];
rz(-0.0351) q[1];
rx(1.7783) q[2];
rz(-0.0404) q[2];
rx(2.1155) q[3];
rz(-0.0379) q[3];
rx(0.2889) q[4];
rz(-0.0404) q[4];
rx(0.1453) q[5];
rz(-0.0346) q[5];
rx(0.2069) q[6];
rz(0.2142) q[6];
rx(1.9006) 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": []} |
7ad25801f2803c9d1de2b3e512ecc55f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [11, 27], "expectation_value": -8.528867697185259, "params": [[[-0.0021000000000000003, 0.0026000000000000003], [0.0025, 0.003], [-0.0021000000000000003, 0.0058000000000000005], [-0.0017000000000000001, 0.0001], [0.0441, 0.0079], [1.6307, 0.0051], [3.1615, 0.002], [-0.0025, 0.007500000000000001], [3.16030000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111000101", "1111100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0021) q[0];
rz(0.0026) q[0];
rx(0.0025) q[1];
rz(0.003) q[1];
rx(-0.0021) q[2];
rz(0.0058) q[2];
rx(-0.0017) q[3];
rz(0.0001) q[3];
rx(0.0441) q[4];
rz(0.0079) q[4];
rx(1.6307) q[5];
rz(0.0051) q[5];
rx(3.1615) q[6];
rz(0.002) q[6];
rx(-0.0025) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
31a11ae818df971c53c10fb4beb29051 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6},... | {"states": [1799, 1823], "expectation_value": -0.5777519601412932, "params": [[0.059300000000000005], [-0.057800000000000004]], "bitstrings": ["00011111000", "00011100000"], "total_optimization_steps": 10, "probabilities": [0.0006497312447757984, 0.000667136644368407], "optimization_time": 2.6394565105438232} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + -1.5 * Z(5) + -1.0 * Z(3) + 1.0 * Z(4) + 0.5 * Z(7) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["00011100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(-0.1779) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.1779) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.0593) q[1];
cx q[0], q[1];
cx q[5], q[3];
rz(-0.2372)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2... | {"node": 6} | {"circuits": [], "gradients": []} |
dbbbc4d6019a7673182b353b82b6a083 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 5, "s... | {"states": [510, 1], "expectation_value": -1.0464396078063154, "params": [[0.0603], [-0.055900000000000005]], "bitstrings": ["000000001", "111111110"], "total_optimization_steps": 10, "probabilities": [0.002851586200249495, 0.0030396321350177244], "optimization_time": 3.363828182220459} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(1)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0603) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1507) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.211) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0603) q[5];
cx q[0], 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] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [31, 29], "expectation_value": -0.4584479044417562, "params": [[0.0656, -0.031200000000000002], [-0.07, -0.0164]], "bitstrings": ["100000", "100010"], "total_optimization_steps": 10, "probabilities": [0.019891693773061037, 0.020281258138833053], "optimization_time": 3.096756935119629} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0984) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0656) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.0656) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.2624) q[2];
cx q[1], q[2];
cx q[0], q[5];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": 5} | {"circuits": [], "gradients": []} |
-5440079155544710673 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [4, 5], [1, 2], [3, 4]]} | {"states": [50, 53], "expectation_value": -0.027110573514878958, "params": [[0.06670000000000001], [-0.051300000000000005]], "bitstrings": ["001101", "001010"], "total_optimization_steps": 10, "probabilities": [0.016485182928172748, 0.016485182928172748], "optimization_time": 0.9681825637817383} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "110101", "001101", "001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0667) q[0];
cx q[2], q[0];
cx q[5], q[4];
rz(0.0667) q[4];
cx q[5], q[4];
cx q[2], q[1];
rz(0.0667) q[1];
cx q[2], q[1];
cx q[4], q[3];
rz(0.0667) q[3];
cx q[4], q[3];
rz(0) q[2];
rz(0) q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[4], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
6ed1ddb0c37b8c42f6032d980e7fb546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 3, "source": 2, "target": 1... | {"states": [64, 63], "expectation_value": -0.032316464553032616, "params": [[0.0081, -0.0162, 0.019200000000000002], [-0.0261, 0.020800000000000003, 0.0108]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.007934551092730722, 0.007942534837255849], "optimization_time": 27.6250... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + -1.75 * Z(1... | 1 | 7 | 3 | {"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[2], q[0];
rz(-0.004) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0121) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.004) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0202) q[3];
cx q[1], 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": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [42, 50], "expectation_value": -3.4963974346641984, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 25, "probabilities": [0.06635223124592704, 0.9303259840124461], "optimization_time": 15.213822364807129} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.4449) q[5];
ry(1.4417) q[4];
ry(1.4417) q[0];
cry(-1.0342) q[1], q[2];
ry(0.7003) q[1];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[2];
cry(0.4962) q[0], q[1];
cry(-0.3788) q[0], q[2];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5489b8f397d0daa293d98dbf1d4ada0d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 7}, {"sour... | {"states": [163, 171], "expectation_value": -4.121263162480584, "params": [[[-0.006, 0.3851], [0.7063, 0.003], [0.002, -0.35960000000000003], [0.7016, 0.0031000000000000003], [-0.0063, -0.34790000000000004], [0.6077, -0.0011], [0.1004, -0.2936], [0.7035, -0.004], [0.7100000000000001, 0.0017000000000000001]], [[-0.0054,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(8) + -0.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["101101000", "101010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.006) q[0];
rz(0.3851) q[0];
rx(0.7063) q[1];
rz(0.003) q[1];
rx(0.002) q[2];
rz(-0.3596) q[2];
rx(0.7016) q[3];
rz(0.0031) q[3];
rx(-0.0063) q[4];
rz(-0.3479) q[4];
rx(0.6077) q[5];
rz(-0.0011) q[5];
rx(0.1004) q[6];
rz(-0.2936) q[6];
rx(0.7035) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
caf35114cd2a6c8ee1f15868fb61caaf | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [67, 56], "expectation_value": -0.12322896855719712, "params": [[-0.006500000000000001, -0.044700000000000004], [-0.0258, 0.0495]], "bitstrings": ["0111100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.008374227455953155, 0.00837455996309958], "optimization_time": 6.58092188835144} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000111", "0001111", "0101011", "0111100", "0011110"]} | 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(-0.0065) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.0065) q[4];
cx q[3], q[4];
cx q[4], q[1];
rz(-0.0065) q[1];
cx q[4], q[1];
cx q[3], q[5];
rz(-0.0065) q[5];
cx q[3], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
38f137728aa288017fb6e77e397c7c5c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [39573, 43669], "expectation_value": -2.008454878822832, "params": [0.7906000000000001, 0.7855000000000001, -0.0016, -0.0017000000000000001, -1.233, -0.4726, 0.7363000000000001, 0.7197, 0.7872, 0.7976000000000001, -0.0026000000000000003, -0.0014, -1.3238, -0.9694, 0.6361, 0.5921000000000001, 0.79760000000000... | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 13 | 16 | 2 | {"smallest_eigenvalues": [-2.0199652777777355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776653, "smallest_bitstrings": ["0101010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.7906) q[0];
ry(-0.0016) q[1];
ry(-1.233) q[2];
ry(0.7363) q[3];
ry(0.7872) q[4];
ry(-0.0026) q[5];
ry(-1.3238) q[6];
ry(0.6361) q[7];
ry(0.7976) q[8];
ry(0.0063) q[9];
ry(0.0049) q[10];
ry(0.7856) q[11];
ry(-0.0108) q[12];
ry(0.7913) q[13];
ry(0.0038) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
2114723939746209885 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5, 6], [2, 5], [3, 4, 6], [0, 3, 4, 7], [1, 2, 3, 7], [0, 1, 3, 4]]} | {"states": [207, 235], "expectation_value": -1.8651417318555754, "params": null, "bitstrings": ["00110000", "00010100"], "total_optimization_steps": 51, "probabilities": [0.05407234019931443, 0.8935446345639091], "optimization_time": 82.83020997047424} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.916666666666666, "smallest_bitstrings": ["10100010", "00010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.4977) q[4];
cry(-1.0336) q[2], q[5];
ry(0.9137) q[2];
ry(-0.6218) q[5];
cry(0.4583) q[4], q[2];
cry(-0.3129) q[4], q[5];
cry(0.7144) q[2], q[6];
ry(0.4152) q[6];
ry(0.4644) q[7];
cry(-0.5936)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4977) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
902d1b67930e0629acecd09204caf4e9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [136, 95], "expectation_value": -4.030483632733296, "params": [[0.07680000000000001, 0.0781, 0.07060000000000001], [-0.0728, -0.0816, -0.0806]], "bitstrings": ["01110111", "10100000"], "total_optimization_steps": 10, "probabilities": [0.014140329654819648, 0.015173191349872196], "optimization_time": 4.515942... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.5 * (Z(7) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(7)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.5 * Z(2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10100000"]} | 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(-0.0384) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0384) q[2];
cx q[0], q[2];
cx q[1], q[7];
rz(-0.2304) q[7];
cx q[1], q[7];
cx q[0], q[7];
rz(0.1152) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
16e531ebd5c4fa365456c9500ea8e716 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [70, 7], "expectation_value": -5.344929278546653, "params": [[-0.0463, -0.054900000000000004], [0.0646, 0.062]], "bitstrings": ["0111001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.01505497496212854, 0.015372071947280477], "optimization_time": 4.9911980628967285} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2084) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2084) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2084) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2084) q[3];
cx q[1], q[3];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 4} | {"circuits": [], "gradients": []} |
52a084c3837e8103860964e17ff664ad | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"weight": 17, "source... | {"states": [171, 169], "expectation_value": -43.8619164303056, "params": [[[0.0029000000000000002, 0.2721], [0.5766, 0.0025], [0.0056, 0.41700000000000004], [0.5863, 0.0031000000000000003], [0.11660000000000001, -0.2437], [0.5979, -0.0023], [0.13920000000000002, 0.2311], [0.373, -0.10840000000000001], [0.5907, -0.0025]... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-60.0, -60.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -57.0, "smallest_bitstrings": ["111010110", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0029) q[0];
rz(0.2721) q[0];
rx(0.5766) q[1];
rz(0.0025) q[1];
rx(0.0056) q[2];
rz(0.417) q[2];
rx(0.5863) q[3];
rz(0.0031) q[3];
rx(0.1166) q[4];
rz(-0.2437) q[4];
rx(0.5979) q[5];
rz(-0.0023) q[5];
rx(0.1392) q[6];
rz(0.2311) q[6];
rx(0.373) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
dc72488dd6090670edbeccc77e6da35f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [16, 1], "expectation_value": -4.203989617693013, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 12, "probabilities": [0.12843648895208365, 0.8520018438428943], "optimization_time": 5.828567028045654} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5706) q[1];
ry(-1.5486) q[3];
ry(-1.5681) q[2];
cry(-1.4449) q[4], q[0];
ry(1.218) q[4];
ry(-0.7109) q[0];
cry(-0.0222) q[4], q[3];
cry(-0.0142) q[0], q[3];
cry(-0.0002) q[4], q[1];
cry(-0.0027) q[4], q[2];
c[0] = ... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
15981867526b451292338ffade4ee93e | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [10, 42], "expectation_value": -3.0719332890006465, "params": null, "bitstrings": ["110101", "010101"], "total_optimization_steps": 34, "probabilities": [0.1326371409892334, 0.677494673987298], "optimization_time": 28.12845802307129} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.4449) q[0];
cry(-1.0398) q[4], q[5];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[4];
ry(0.7022) q[2];
ry(-0.4578) q[3];
ry(-0.4578) q[5];
cry(0.4586) q[4], q[2];
cry(0.4522) q[2], q[4];
cry(-0.3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [24, 27], "expectation_value": -4.499934073599166, "params": null, "bitstrings": ["100111", "100100"], "total_optimization_steps": 25, "probabilities": [1.383409073205191e-05, 0.999948183846146], "optimization_time": 18.83863115310669} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(0.1187) q[4], q[5];
cry(0.1188) q[5], q[1];
cry(0.1188) q[1], q[2];
cry(0.1186) q[1], q[4];
cry(-0.0027)... | 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... |
1acf7607c7ee29e36b87a4b01083b206 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.35676867341524027, "params": [[0.0656], [-0.063]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.01782033334285304, 0.018106869623492117], "optimization_time": 1.7731239795684814} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.1968) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0328) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(-0.164) q[3];
cx q[1], q[3];
cx q[4], q[2];
rz(-0.1312) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
8024481a741f3f9d1bfa3919cba5fa72 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, ... | {"states": [32, 33], "expectation_value": -1.8784082635498982, "params": [[[1.499, 0.0007], [1.6266, 0.0057], [1.5170000000000001, 0.0063], [-0.003, 0.0095], [-0.0023, 0.0051], [0.0024000000000000002, 0.0025], [1.6235000000000002, 0.009300000000000001]]], "bitstrings": ["1011111", "1011110"], "total_optimization_steps"... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(0) @ Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(4) @ Z(5) @ Z(1)) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.875, -2.875, -2.875, -2.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.875, "smallest_bitstrings": ["0101111", "0111110", "1001111", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.499) q[0];
rz(0.0007) q[0];
rx(1.6266) q[1];
rz(0.0057) q[1];
rx(1.517) q[2];
rz(0.0063) q[2];
rx(-0.003) q[3];
rz(0.0095) q[3];
rx(-0.0023) q[4];
rz(0.0051) q[4];
rx(0.0024) q[5];
rz(0.0025) q[5];
rx(1.6235) q[6];
rz(0.0093) q[6];
c[0] = measure q[0];
c[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
b80d831cd9b07b1f2aaf1d64249cf046 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [78, 75], "expectation_value": -4.499134183102599, "params": null, "bitstrings": ["0110001", "0110100"], "total_optimization_steps": 31, "probabilities": [0.06620744839560425, 0.9331647658006801], "optimization_time": 43.53319716453552} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110100", "0101100", "0110001"]} | 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(-1.4449) q[2];
ry(1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[3];
cry(-1.0398) q[6], q[4];
ry(0.7022) q[6];
ry(-0.4578) q[4];
cry(0.497) q[5], q[6];
cry(-0.3761) q[5], q[4];
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(-1.5708) 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", ... |
-8773947760197531849 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 6], [0, 1, 2, 5, 7], [6, 7], [0, 3, 5, 6, 8], [2, 4, 5], [2, 6], [0, 3, 4, 5, 6], [0, 8, 6, 1], [2, 3, 7], [0, 3, 4, 6, 8], [2, 3, 4], [0, 1, 2, 4], [8, 0, 2, 3]]} | {"states": [490, 491], "expectation_value": -2.4952356150514525, "params": [1.4835, -0.054, 0.8932, 0.0097, 1.4853, -0.046900000000000004, 0.7666000000000001, 0.0008, 1.4839, -0.057, 0.686, 0.0051, 1.4889000000000001, -0.0704, 1.0902, 0.005200000000000001, 1.4926000000000001, -0.025, 1.4902, 0.0, 1.4923000000000002, -0... | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.31666666666666665 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(1)) + 0.23333333333333334 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(0) @ Z(6)) + 0.41666666666666663 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.2166666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.1000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0666666666666664, "smallest_bitstrings": ["000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4835) q[0];
rz(-0.054) q[0];
rx(1.4853) q[1];
rz(-0.0469) q[1];
rx(1.4839) q[2];
rz(-0.057) q[2];
rx(1.4889) q[3];
rz(-0.0704) q[3];
rx(1.4926) q[4];
rz(-0.025) q[4];
rx(1.4923) q[5];
rz(-0.0772) q[5];
rx(1.496) q[6];
rz(-0.0647) q[6];
rx(1.0445) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d01957666343e9fcbe75d528dbc9cd28 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [346, 362], "expectation_value": -78.20255005701539, "params": [0.3511, -0.0175, 1.0461, -0.0, -0.007200000000000001, -0.2127, 1.0299, 0.0012000000000000001, 0.37920000000000004, 0.0178, 1.5746, -0.0663, 1.1304, 0.0054, 0.1499, -0.0161, 1.0441, 0.0004, -0.0053, 0.6704, 0.3551, -0.006200000000000001, 1.0476, ... | 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(5) @ Z(1)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(5) @ Z(3)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(2) @ Z(8)) + 7.5 * (Z(9) @ Z(8)) + -4.0 * Z(0) + 9.5 * Z(1) + 5.5 * Z(4) + 8.5 * Z(3) + 11.0 * Z(5) + -3.5 * Z(7) + -2.0 * Z(6) + 8.5 * Z(8) + -6.0 * Z(2) + -2.5 * Z(9) | 4 | 10 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3511) q[0];
rz(-0.0175) q[0];
rx(1.0461) q[1];
rz(0) q[1];
rx(-0.0072) q[2];
rz(-0.2127) q[2];
rx(1.0299) q[3];
rz(0.0012) q[3];
rx(0.3792) q[4];
rz(0.0178) q[4];
rx(1.5746) q[5];
rz(-0.0663) q[5];
rx(1.1304) q[6];
rz(0.0054) q[6];
rx(0.1499) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
1225599293962643062 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4, 5], [2, 3], [0, 2], [1, 4]]} | {"states": [11, 53], "expectation_value": -0.4304351021892315, "params": [[0.2785], [-0.2846]], "bitstrings": ["110100", "001010"], "total_optimization_steps": 30, "probabilities": [0.03292088100000566, 0.03295569437071697], "optimization_time": 1.3206501007080078} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666663 * Z(4) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["110100", "001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(0.0928) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.0928) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.0928) q[5];
cx q[3], q[5];
cx q[3], q[2];
rz(0.2785) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(0.2785... | 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[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
-8127353353967273224 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 4], [4, 5], [1, 2], [0, 2], [2, 6]]} | {"states": [24, 103], "expectation_value": -0.05667248728319521, "params": [[0.0629], [-0.0654]], "bitstrings": ["1100111", "0011000"], "total_optimization_steps": 10, "probabilities": [0.008456242004625091, 0.008456242004625091], "optimization_time": 1.399472713470459} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.5, "smallest_bitstrings": ["0010010", "0011010", "1101101", "0011000", "1100101", "1100111"]} | 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[5], q[3];
rz(0.0629) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(0.0629) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(0.0629) q[4];
cx q[3], q[4];
cx q[4], q[2];
rz(0.0629) q[2];
cx q[4], q[2];
cx q[2], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[4], q[2];
... | null | {"circuits": [], "gradients": []} |
-7016046446700852545 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 6], [8, 3, 4], [1, 9], [0, 3, 5], [0, 1, 8], [0, 6], [8, 2, 3], [8, 9, 6], [0, 3, 4], [2, 3, 5], [4, 6], [9, 2, 4], [0, 8, 7], [1, 4], [5, 7], [9, 5], [0, 9, 2], [0, 4, 5], [3, 7], [8, 9, 2], [2, 3, 6], [0, 9, 3]]} | {"states": [1010, 978], "expectation_value": -5.124213310153397, "params": [2.4345000000000003, 0.22080000000000002, 0.6908000000000001, 0.0067, -1.2757, 0.3241, -1.3236, 0.0095, 2.1254, 0.19640000000000002, 1.0145, 0.0015, 1.8, 0.17500000000000002, 1.2670000000000001, 0.0037, 1.9523000000000001, -0.3148, 0.8383, 0.008... | 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.3333333333333333 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.3333333333333333 * (Z(3) @ Z(8)) + 0.1666666666666666... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666667, "smallest_bitstrings": ["0000101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.4345) q[0];
rz(0.2208) q[0];
rx(-1.2757) q[1];
rz(0.3241) q[1];
rx(2.1254) q[2];
rz(0.1964) q[2];
rx(1.8) q[3];
rz(0.175) q[3];
rx(1.9523) q[4];
rz(-0.3148) q[4];
rx(2.3847) q[5];
rz(0.2009) q[5];
rx(0.0029) q[6];
rz(2.5895) q[6];
rx(-0.0024) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
996e31268f5064c2e524b73867a52aca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target":... | {"states": [2, 1023], "expectation_value": -13.971001756870942, "params": [[[0.1015, -0.9749000000000001], [0.0026000000000000003, 0.1965], [0.0025, 0.0026000000000000003], [0.0024000000000000002, -0.0025], [0.0028, 0.0031000000000000003], [0.0036000000000000003, 0.0032], [0.0025, -0.0031000000000000003], [-0.002600000... | -0.25 * (Z(0) @ Z(4)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(10) @ Z(4)) + -0.5 * (Z(10) ... | 15 | 11 | 3 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.1015) q[0];
ry(0.0026) q[1];
ry(0.0025) q[2];
ry(0.0024) q[3];
ry(0.0028) q[4];
ry(0.0036) q[5];
ry(0.0025) q[6];
ry(-0.0026) q[7];
ry(-0.0015) q[8];
ry(0.2687) q[9];
ry(0.0672) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
36687e626672800d8a86828a1018bcb8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 9}, {"source": 2, "target":... | {"states": [169, 681], "expectation_value": -7.539161787004078, "params": [0.7982, 0.8007000000000001, 0.2399, 0.24530000000000002, 0.8052, 0.8051, 0.0004, 0.005200000000000001, 0.8107000000000001, 0.8112, -0.022600000000000002, -0.0167, 0.8101, 0.809, 0.0039000000000000003, 0.0037, -0.015700000000000002, -0.0083, 0.80... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(4) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["0101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7982) q[0];
ry(0.2399) q[1];
ry(0.8052) q[2];
ry(0.0004) q[3];
ry(0.8107) q[4];
ry(-0.0226) q[5];
ry(0.8101) q[6];
ry(0.0039) q[7];
ry(-0.0157) q[8];
ry(0.8022) q[9];
crz(0.0081) q[9], q[0];
crz(-0.4241) q[8], q[9];
crz(0.419) q[7], q[8];
crz(-0.0017) 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": []} |
86094013d4629b9fc69d6709b030b695 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [455, 391], "expectation_value": -76.69690095165548, "params": [[[0.1661, 0.0315], [2.5052000000000003, -0.0129], [2.4988, 0.0021000000000000003], [1.5674000000000001, -0.0023], [0.0031000000000000003, -0.0032], [0.0033, -0.0033], [-1.5682, 1.5726], [0.28340000000000004, 1.5723], [2.4915000000000003, 0.3749]... | 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(0) @ Z(8)) + 9.0 * Z(3) + 17.0 * Z(2) + 16.0 * Z(1) + -6.0 * Z(4) + -6.5 * Z(6) + 13.0 * Z(... | 15 | 10 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["1001111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.1661) q[0];
ry(2.5052) q[1];
ry(2.4988) q[2];
ry(1.5674) q[3];
ry(0.0031) q[4];
ry(0.0033) q[5];
ry(-1.5682) q[6];
ry(0.2834) q[7];
ry(2.4915) q[8];
ry(1.1683) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -0.0628761486879188, "params": [[0.031100000000000003], [-0.0347]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0041544506947732715, 0.004172002927861244], "optimization_time": 4.2621331214904785} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"]} | 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(-0.0156) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0467) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0156) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(-0.0467) q[4];
cx q[3], 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;
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];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
30817b6a61eae6109bfdbb2e6204f6e8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 8}, {"capacity": 3, "s... | {"states": [25, 153], "expectation_value": -11.904326708306396, "params": [0.0012000000000000001, 0.5862, 0.8939, 0.0004, -0.0028, 0.6103000000000001, -0.0291, -0.011300000000000001, 0.6788000000000001, 0.2023, 0.8968, -0.0006000000000000001, -0.0023, -0.40130000000000005, 0.0002, 0.2192, 0.9126000000000001, 0.00360000... | -1.0 * (Z(0) @ Z(2)) + -1.0 * (Z(6) @ Z(2)) + -1.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(8)) + -1.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(8)) + -1.25 * Z(2) + -0.25 * Z(0) + -4.5 * Z(... | 4 | 9 | 2 | {"smallest_eigenvalues": [-17.0, -17.0, -17.0, -17.0, -17.0, -17.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -14.0, "smallest_bitstrings": ["101010110", "101000100", "101110110", "101100110", "101000110", "101010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0012) q[0];
rz(0.5862) q[0];
rx(0.8939) q[1];
rz(0.0004) q[1];
rx(-0.0028) q[2];
rz(0.6103) q[2];
rx(-0.0291) q[3];
rz(-0.0113) q[3];
rx(0.6788) q[4];
rz(0.2023) q[4];
rx(0.8968) q[5];
rz(-0.0006) q[5];
rx(-0.0023) q[6];
rz(-0.4013) q[6];
rx(0.0002) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
c513b3f9e92fab9360fc637fed72bb83 | 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": 1}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [0, 1], "expectation_value": -8.312685140414953, "params": [0.0033, 0.0017000000000000001, 0.0026000000000000003, 0.005, 0.0024000000000000002, 0.0086, -0.0024000000000000002, 0.0022, 0.0023, 0.0011, 0.0026000000000000003, 0.0034000000000000002, 0.0026000000000000003, 0.005, 0.0024000000000000002, 0.0007, 0.... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ ... | 4 | 10 | 1 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0033) q[0];
rz(0.0017) q[0];
rx(0.0026) q[1];
rz(0.005) q[1];
rx(0.0024) q[2];
rz(0.0086) q[2];
rx(-0.0024) q[3];
rz(0.0022) q[3];
rx(0.0023) q[4];
rz(0.0011) q[4];
rx(0.0026) q[5];
rz(0.0034) q[5];
rx(0.0026) q[6];
rz(0.005) q[6];
rx(0.0024) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 30, "source": 0, "target": 3}, {"weight": 27, "source": 0, "target": 4}, {"weight": 32, "source": 0, "target": 2}, {"weight": 10, "source... | {"states": [1751, 1623], "expectation_value": -7.485170014837302, "params": null, "bitstrings": ["00100101000", "00110101000"], "total_optimization_steps": 100, "probabilities": [0.49730634434571963, 0.49730634434571963], "optimization_time": 308.51588249206543} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.25 * (Z(8) @ Z(0)) + 0.25 * (Z(... | 5 | 11 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["00110101000", "10000100010", "00100101000", "10000100011"]} | 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(1.5708) q[9];
ry(1.5706) q[1];
cry(1.5681) q[1], q[4];
cry(1.4449) q[4], q[8];
cry(-1.4433) q[8], q[5];
cry(-1.4433) q[8], q[7];
ry(1.4416) q[0];
cry(1.44) q[8], q[6]... | null | {"start_node": 0, "end_node": 4} | {"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(1.5708) q[9];\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] = me... |
-6975250947239387511 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3, 6], [0, 2, 5], [1, 2, 4, 5], [3, 4], [0, 1, 2, 4, 6], [1, 5, 6], [2, 3, 6]]} | {"states": [121, 117], "expectation_value": -2.0097314405181317, "params": null, "bitstrings": ["0000110", "0001010"], "total_optimization_steps": 41, "probabilities": [0.08062417209679558, 0.8325233351647677], "optimization_time": 61.8151969909668} | 0.16666666666666666 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3833333333333333 * (Z(6) @ Z(1)) + 0.05 * (Z(0) @ Z(1)) + 0.05 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.13333333333333333 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(6)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.25 * (Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.9500000000000006, "smallest_bitstrings": ["0001010", "1000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5055) q[6];
ry(1.2457) q[2];
cry(-1.22) q[4], q[3];
ry(0.8355) q[4];
cry(-0.5664) q[6], q[3];
cry(0.4915) q[6], q[4];
ry(-0.2749) q[3];
cry(-0.6162) q[1], q[5];
ry(0.6048) q[1];
cry(-0.5561) q[0], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5055) q[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", "... |
48bc2fe3cb79b98fee18d505d1ebe59b | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [3551, 3547], "expectation_value": -1.795739580826807, "params": [[[0.1852, -0.3554], [0.7567, 0.0032], [0.8994000000000001, -0.0021000000000000003], [0.2932, 0.2947], [0.9016000000000001, 0.0037], [0.7707, -0.0026000000000000003], [0.8036000000000001, -0.0021000000000000003], [0.2028, -0.3452], [0.8921, -0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 1 | 13 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75],... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.1852) q[0];
rz(-0.3554) q[0];
rx(0.7567) q[1];
rz(0.0032) q[1];
rx(0.8994) q[2];
rz(-0.0021) q[2];
rx(0.2932) q[3];
rz(0.2947) q[3];
rx(0.9016) q[4];
rz(0.0037) q[4];
rx(0.7707) q[5];
rz(-0.0026) q[5];
rx(0.8036) q[6];
rz(-0.0021) q[6];
rx(0.2028) 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": []} |
a55dfc52bccd46d89bba447f69a5de2b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [0, 511], "expectation_value": -16.151189551443924, "params": [[[0.0021000000000000003, 1.6141], [0.0021000000000000003, 0.0021000000000000003], [0.0024000000000000002, 0.002], [0.0023, 0.002], [0.0031000000000000003, 0.0033], [0.0026000000000000003, -0.0027], [0.0021000000000000003, -0.0014], [0.00170000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 1.0 * Z(4) + -1.0 * Z(5) + 0.5 * Z(7) +... | 15 | 9 | 1 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000000", "000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0021) q[0];
ry(0.0021) q[1];
ry(0.0024) q[2];
ry(0.0023) q[3];
ry(0.0031) q[4];
ry(0.0026) q[5];
ry(0.0021) q[6];
ry(0.0017) q[7];
ry(0.0024) 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];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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;
ry(x0) q[0];
ry(x0... | {"node": 4} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [16, 19], "expectation_value": -3.999971823125694, "params": null, "bitstrings": ["01111", "01100"], "total_optimization_steps": 22, "probabilities": [1.3834265384826307e-05, 0.9999858819924361], "optimization_time": 15.037503957748413} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["01100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[1];
ry(-1.5681) q[2];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[0];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[0];
cry(0.1186) q[0], q[3];
cry(-0.0027) q[4], q[2];
cry(0.0072) q[0], q[4];
cry(0.0067) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
62d59a2c57c5a5e03bc57aa993d43fe2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -16.96258681793835, "params": [[-0.033, -0.0155], [0.0684, 0.0743]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01142086635536989, 0.014646177691449682], "optimization_time": 3.077134847640991} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.264) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.264) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.264) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.264) q[3];
cx q[1], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
e05275d14653e116f32640e6b82829a5 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 5}, {"weight": 14, "source": 1, "tar... | {"states": [500, 244], "expectation_value": -73.46360288189396, "params": [0.7351000000000001, -0.449, 1.5791000000000002, 0.0028, 1.5746, 0.003, 1.574, -0.0013000000000000002, 1.5769, 0.0161, -0.0022, 1.2396, 1.6185, 0.2546, 0.36160000000000003, 0.6805, 0.2922, 0.6931, 0.7405, 0.0008, 1.5733000000000001, 0.0023, 1.570... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 19.0 * Z(1) + 13.5 * Z(0) + 11.0 *... | 18 | 9 | 2 | {"smallest_eigenvalues": [-79.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7351) q[0];
rz(-0.449) q[0];
rx(1.5791) q[1];
rz(0.0028) q[1];
rx(1.5746) q[2];
rz(0.003) q[2];
rx(1.574) q[3];
rz(-0.0013) q[3];
rx(1.5769) q[4];
rz(0.0161) q[4];
rx(-0.0022) q[5];
rz(1.2396) q[5];
rx(1.6185) q[6];
rz(0.2546) q[6];
rx(0.3616) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | edge_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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2524, 3549], "expectation_value": -3.3670097244833395, "params": null, "bitstrings": ["011000100011", "001000100010"], "total_optimization_steps": 100, "probabilities": [0.06354121638124433, 0.6661658043842997], "optimization_time": 625.357314825058} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 12 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["000101000100", "001000010100", "010000100001", "000100101000", "001000100010", "100000000101"]} | 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(1.3016) q[4];
cry(-1.1847) q[9], q[6];
ry(1.1799) q[7];
ry(1.0405) q[8];
ry(1.0292) q[0];
cry(-0.539) q[5], q[6];
ry(0.566) q[9];
cry(-0.8821) q[1], q[10];
c... | null | null | {"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(1.3016) 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];\... |
292f671a258eb8e474d3639931b1d5a8 | 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": [543, 542], "expectation_value": -133.5884271727836, "params": [-0.0025, 0.006500000000000001, -0.0024000000000000002, 0.0068000000000000005, 3.0932, 0.0038, 0.2954, 0.0059, -0.0025, 0.009300000000000001, 0.0029000000000000002, 0.0018000000000000002, 1.0512000000000001, 0.0019, 3.0901, 0.0051, 3.0966, 0.0073... | 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(10) @ Z(6)) + 7.5 * (Z(11) @ Z(2)) + 7.5 * (Z(11) @ Z(7)) + 7.5 * (Z(11) @ Z(10)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(5) @ Z(9)) + 17.5 * Z(2) + 2.0 * Z(3) + ... | 18 | 12 | 1 | {"smallest_eigenvalues": [-149.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -130.5, "smallest_bitstrings": ["110111100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0025) q[0];
rz(0.0065) q[0];
rx(-0.0024) q[1];
rz(0.0068) q[1];
rx(3.0932) q[2];
rz(0.0038) q[2];
rx(0.2954) q[3];
rz(0.0059) q[3];
rx(-0.0025) q[4];
rz(0.0093) q[4];
rx(0.0029) q[5];
rz(0.0018) q[5];
rx(1.0512) q[6];
rz(0.0019) q[6];
rx(3.0901) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
f156f991f453bf2551660b1dc00bf1f6 | 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": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [129, 1], "expectation_value": -12.423300207854902, "params": null, "bitstrings": ["101111110", "111111110"], "total_optimization_steps": 32, "probabilities": [0.31829862415377586, 0.4859265827965531], "optimization_time": 39.28148865699768} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "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(-1.5577) q[1];
ry(-1.5708) q[7];
cry(-1.5708) q[8], q[0];
ry(1.0552) q[8];
ry(-1.5708) q[2];
ry(-0.4383) q[0];
ry(-1.5706) q[4];
ry(-1.5706) q[5];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
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(-1.5577) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
5824ffa6b73ef6ad0ee2303e68693ae5 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"sour... | {"states": [255, 127], "expectation_value": -22.003232761140026, "params": [[[1.5791000000000002, 0.0051], [0.0024000000000000002, 0.0078000000000000005], [0.0025, 0.0041], [0.0023, 0.00030000000000000003], [-0.0027, 0.0037], [-0.0074, 0.0005], [0.003, 0.0002], [3.1617, 0.0076]]], "bitstrings": ["00000000", "10000000"]... | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5791) q[0];
rz(0.0051) q[0];
rx(0.0024) q[1];
rz(0.0078) q[1];
rx(0.0025) q[2];
rz(0.0041) q[2];
rx(0.0023) q[3];
rz(0.0003) q[3];
rx(-0.0027) q[4];
rz(0.0037) q[4];
rx(-0.0074) q[5];
rz(0.0005) q[5];
rx(0.003) q[6];
rz(0.0002) q[6];
rx(3.1617) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 0} | {"circuits": [], "gradients": []} |
a3571c19d72a014065614d323aff3379 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [12, 5], "expectation_value": -0.05027181584266801, "params": [[-0.0024000000000000002, -0.0666], [-0.0533, 0.0649]], "bitstrings": ["110011", "111010"], "total_optimization_steps": 10, "probabilities": [0.016467572396584907, 0.016718464092514408], "optimization_time": 3.3987112045288086} | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(-0.0006) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0006) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(-0.0006) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.0006) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
d315d70b641adb2c12afcb5c124b2e90 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [85, 93], "expectation_value": -50.33930713770066, "params": [[[0.6891, 0.465], [-0.12860000000000002, 0.2298], [0.6977, 0.4041], [0.4666, 0.6493], [0.299, 0.6877], [0.5911000000000001, 0.4882], [0.3267, 0.5829], [0.6302, 0.6996], [0.6393, 0.4791]], [[0.6925, 0.4681], [-0.15510000000000002, 0.4707], [0.69290... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(8) @ Z(6)) + 22.5 * Z(2) + -2.5 * Z(1) + 22.0 * Z(5) + 12.0 * Z(3) + 16.5 * Z(4) + 4.0 * Z(... | 15 | 9 | 3 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6891) q[0];
ry(-0.1286) q[1];
ry(0.6977) q[2];
ry(0.4666) q[3];
ry(0.299) q[4];
ry(0.5911) q[5];
ry(0.3267) q[6];
ry(0.6302) q[7];
ry(0.6393) 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];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
c0497b20d0e680cacc77174a13e8b8b4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [230, 118], "expectation_value": -27.8332705564731, "params": [[-0.031100000000000003, -0.006, -0.0066, 0.0152], [0.057100000000000005, 0.048400000000000006, 0.0678, 0.0626]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.016534544365751823, 0.023422784435384526]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "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(-0.2488) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2488) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2488) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2488) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
51eecc850dfeb03891b9febfba2bcbf1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1097, 5194], "expectation_value": -75.80133801559802, "params": [[0.4031, 0.1852, 0.40140000000000003, -0.0366, 0.0005, 0.0262, 0.3987, 0.001, 0.1968, 0.4091, -0.0151, 0.4031, 0.2621], [0.4015, 0.1862, 0.40130000000000005, -0.0281, -0.00030000000000000003, 0.08120000000000001, 0.4037, 0.001, 0.1962, 0.40280... | 8.5 * (Z(1) @ Z(0)) + 8.5 * (Z(2) @ Z(3)) + 8.5 * (Z(6) @ Z(1)) + 8.5 * (Z(5) @ Z(6)) + 8.5 * (Z(8) @ Z(2)) + 8.5 * (Z(7) @ Z(9)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(12) @ Z(0)) + 8.5 * (Z(11) @ Z(2)) + 8.5 * (Z(11) @ Z(8)) + 8.5 * (Z(11) @ Z(12)) + 9.0 * Z(0) + 3.5 * Z(1) + -6.0 * Z(3) + 17.5 * Z(2) + 7.0 * Z(6) + -5.5 ... | 10 | 13 | 4 | {"smallest_eigenvalues": [-162.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -135.0, "smallest_bitstrings": ["0101110110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.4031) q[0];
ry(0.1852) q[1];
ry(0.4014) q[2];
ry(-0.0366) q[3];
ry(0.0005) q[4];
ry(0.0262) q[5];
ry(0.3987) q[6];
ry(0.001) q[7];
ry(0.1968) q[8];
ry(0.4091) q[9];
ry(-0.0151) q[10];
ry(0.4031) q[11];
ry(0.2621) q[12];
cz q[12], q[11];
cz q[11], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
4755273824363800903 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4], [0, 7], [4, 7], [1, 5], [1, 3], [0, 6], [0, 2], [4, 5], [5, 7], [2, 6], [3, 6], [4, 6], [2, 5], [8, 7], [3, 5], [3, 4], [1, 4], [5, 6]]} | {"states": [198, 313], "expectation_value": -0.08480383430666544, "params": [[-0.0438], [0.054700000000000006]], "bitstrings": ["100111001", "011000110"], "total_optimization_steps": 10, "probabilities": [0.0021441930728538132, 0.0021441930728538132], "optimization_time": 5.4564049243927} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["100011001", "100111001", "011000110", "011100110"]} | 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[2];
rz(-0.0438) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(-0.0438) q[0];
cx q[2], q[0];
cx q[4], q[7];
rz(-0.0438) q[7];
cx q[4], q[7];
cx q[0], q[7];
rz(-0.0438) q[7];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[4], q[7];
rz(x0) q[7];
cx q[4], q[7];... | null | {"circuits": [], "gradients": []} |
756d3d75bc595261d2d71e6ce1da2290 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, {"source": 4, "target": 6}, ... | {"states": [40, 41], "expectation_value": -2.30326846566553, "params": [[[0.1716, 0.11420000000000001], [0.4055, 0.0022], [0.006200000000000001, 0.19060000000000002], [0.4068, 0.0021000000000000003], [0.0033, 0.30960000000000004], [0.0038, 0.2596], [0.399, 0.0031000000000000003]], [[0.1757, 0.1143], [0.4022, 0.0022], [... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(3) @ Z(1)) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.875, "smallest_bitstrings": ["1010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.1716) q[0];
rz(0.1142) q[0];
rx(0.4055) q[1];
rz(0.0022) q[1];
rx(0.0062) q[2];
rz(0.1906) q[2];
rx(0.4068) q[3];
rz(0.0021) q[3];
rx(0.0033) q[4];
rz(0.3096) q[4];
rx(0.0038) q[5];
rz(0.2596) q[5];
rx(0.399) q[6];
rz(0.0031) q[6];
rx(0.1757) q[0];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
57ee338fb11c54f5732d695ad617aa60 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [256, 255], "expectation_value": -0.7712226916491545, "params": [[-0.043300000000000005], [0.0504]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0025801168482642973, 0.002592103762957923], "optimization_time": 3.024535894393921} | -0.75 * (Z(0) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -0.25 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(2)) + -3.25 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(5) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.065) q[0];
cx q[1], q[0];
cx q[0], q[8];
rz(-0.0866) q[8];
cx q[0], q[8];
cx q[1], q[2];
rz(0.065) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1083) q[3];
cx q[1], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [10, 40], "expectation_value": -0.6743828056692873, "params": [[0.0345, 0.0455, 0.0731, 0.0659], [-0.033600000000000005, -0.023200000000000002, -0.0504, -0.0477]], "bitstrings": ["110101", "010111"], "total_optimization_steps": 10, "probabilities": [0.021411058349887425, 0.021411058349887456], "optimization_... | 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(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0345) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0345) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0345) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0345) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0345... | OPENQASM 3.0;
include "stdgates.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": []} |
b922dc20ae6c958f0b213c99c6c101fe | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [111, 107], "expectation_value": -45.218082160371495, "params": [0.4728, 0.3886, 0.894, 0.0693, 0.8954000000000001, 0.21180000000000002, 0.27090000000000003, 0.5033, 0.8981, 0.1689, 0.6116, 0.30010000000000003, 0.8919, 0.231, 0.887, 0.2087, 0.47140000000000004, 0.3524, 0.9003, 0.10790000000000001, 0.90150000... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(6) @ Z(5)) + 8.0 * Z(1) + 5.0 * Z(0) + 13.0 * Z(2) + 1.5 * Z(3) + 13.0 * Z(4) + 12.5 * Z(7) + 11.0 * Z(5) + 10.0 ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-65.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4728) q[0];
rz(0.3886) q[0];
rx(0.894) q[1];
rz(0.0693) q[1];
rx(0.8954) q[2];
rz(0.2118) q[2];
rx(0.2709) q[3];
rz(0.5033) q[3];
rx(0.8981) q[4];
rz(0.1689) q[4];
rx(0.6116) q[5];
rz(0.3001) q[5];
rx(0.8919) q[6];
rz(0.231) q[6];
rx(0.887) q[7];
rz(0.208... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
9529baf1c272123f159cd9ccf2735587 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4... | {"states": [29, 63], "expectation_value": -1.9999403854983835, "params": [[-0.0026000000000000003, 0.0024000000000000002, 0.0031000000000000003, 0.6856, 0.0033, -0.0024000000000000002, 0.0025], [1.5715000000000001, 0.0026000000000000003, 0.0027, 0.909, 0.0026000000000000003, 0.0019, -0.0028], [-2.3519, 1.3643, 0.7587, ... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + -0.5 * Z(... | 9 | 7 | 4 | {"smallest_eigenvalues": [-5.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.0026) q[0];
rx(0.0024) q[1];
rx(0.0031) q[2];
rx(0.6856) q[3];
rx(0.0033) q[4];
rx(-0.0024) q[5];
rx(0.0025)... | OPENQASM 3.0;
include "stdgates.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": []} |
d342f36573e8f4be8484fccf8571b55a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"sour... | {"states": [111, 79], "expectation_value": -5.685785514642368, "params": [-0.0018000000000000002, 0.44120000000000004, -0.0164, 0.3165, 0.9044000000000001, 0.0083, 0.6858000000000001, -0.1845, 0.0482, 0.014100000000000001, 0.9041, -0.0028, 0.9072, 0.002, 0.906, -0.0024000000000000002, 0.9101, 0.0026000000000000003, -0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * Z(1) + -2.0 * Z(0) + 0.0 * ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110010100", "110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0018) q[0];
rz(0.4412) q[0];
rx(-0.0164) q[1];
rz(0.3165) q[1];
rx(0.9044) q[2];
rz(0.0083) q[2];
rx(0.6858) q[3];
rz(-0.1845) q[3];
rx(0.0482) q[4];
rz(0.0141) q[4];
rx(0.9041) q[5];
rz(-0.0028) q[5];
rx(0.9072) q[6];
rz(0.002) q[6];
rx(0.906) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ed01866ce53def5a36a69737a2fd120b | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [6522, 6426], "expectation_value": -9.454286803438844, "params": [[[-0.006200000000000001, 0.5926, 0.0076, 0.0035], [-0.0008, 0.6256, -0.0038, 0.0002], [0.7431, 0.0064, 0.0097, 0.0074], [0.17950000000000002, -0.0009000000000000001, 0.7395, 0.0066], [0.0008, 0.514, 0.00030000000000000003, 0.5158], [-0.0035, 0... | 0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(7) @ Z(9)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(8) @ Z(9)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -0.5 * (Z(10) @ Z(12)) + 0.5 * (Z(11) @ Z(9)) + -0.5 * (Z(11) @ Z(12)) + 1.0 * (Z(11) @ Z(10)) + -0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(2) @ Z(... | 12 | 15 | 4 | {"smallest_eigenvalues": [-10.333333333333227], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.33333333333315, "smallest_bitstrings": ["110011011100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.0062) q[0];
rz(0.5926) q[0];
ry(-0.0008) q[1];
rz(0.6256) q[1];
ry(0.7431) q[2];
rz(0.0064) q[2];
ry(0.1795) q[3];
rz(-0.0009) q[3];
ry(0.0008) q[4];
rz(0.514) q[4];
ry(-0.0035) q[5];
rz(0.6029) q[5];
ry(0.7825) q[6];
rz(0.0063) q[6];
ry(-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] 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": 7} | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 84.60365176200867} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "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(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
216fa3ac5e9f09e597390a38dc3f522d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [42, 69], "expectation_value": -0.16703640596897254, "params": [[0.0668], [-0.0524]], "bitstrings": ["1010101", "0111010"], "total_optimization_steps": 10, "probabilities": [0.008647069687253001, 0.008761151393385411], "optimization_time": 1.5536041259765625} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "0111010", "1010101", "1100101"]} | 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(0.0668) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0668) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0668) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0668) q[3];
cx q[0], q[3];
cx q[0], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
aafba232bddbab68741369c28fd60f9f | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}]} | {"states": [3, 11], "expectation_value": -8.288233842091305, "params": [-0.0027, 1.2251, -0.0026000000000000003, 1.2174, -0.8253, 0.0727, 0.002, 1.482, 1.5699, -0.0027, 1.5673000000000001, 0.1996, -0.0028, 0.0014, -0.0029000000000000002, 0.0047, -0.8253, 0.005200000000000001, 0.0019, 0.007200000000000001, 1.5739, 0.005... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(1)) + 1.0... | 18 | 6 | 2 | {"smallest_eigenvalues": [-8.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.75, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0027) q[0];
rz(1.2251) q[0];
rx(-0.0026) q[1];
rz(1.2174) q[1];
rx(-0.8253) q[2];
rz(0.0727) q[2];
rx(0.002) q[3];
rz(1.482) q[3];
rx(1.5699) q[4];
rz(-0.0027) q[4];
rx(1.5673) q[5];
rz(0.1996) q[5];
crz(0.4086) q[5], q[0];
crz(-0.0031) q[4], q[5];
crz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
2b8dca7c94388a8984b1472327af39be | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [134, 7], "expectation_value": -5.527493399938464, "params": [[0.06280000000000001], [-0.0603]], "bitstrings": ["01111001", "11111000"], "total_optimization_steps": 10, "probabilities": [0.005878608566983275, 0.006199950483202938], "optimization_time": 3.6313726902008057} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 3 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3454) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3454) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3454) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3454) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[... | {"k": 5} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [49118, 47070], "expectation_value": -18.8640610782367, "params": [[[0.0495, -0.002, 0.007, 0.0038], [0.9655, -0.8035, 0.8844000000000001, 0.0049], [0.027800000000000002, -0.46530000000000005, 0.0112, 0.16590000000000002], [0.049800000000000004, 0.1681, 0.3159, 0.7636000000000001], [0.0256, 0.120900000000000... | 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5... | 11 | 16 | 3 | {"smallest_eigenvalues": [-19.999999999999957], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["0100100000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.0495) q[0];
rz(-0.002) q[0];
ry(0.9655) q[1];
rz(-0.8035) q[1];
ry(0.0278) q[2];
rz(-0.4653) q[2];
ry(0.0498) q[3];
rz(0.1681) q[3];
ry(0.0256) q[4];
rz(0.1209) q[4];
ry(0.0082) q[5];
rz(-0.0678) q[5];
ry(0.3957) q[6];
rz(-0.2709) q[6];
ry(-0.0019) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -3.0854981079997823, "params": [[-0.0597, -0.0718], [0.07200000000000001, 0.0732]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.053117872021871064, 0.05311787202187108], "optimization_time": 3.1847851276397705} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 16 | 5 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.209) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.209) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.209) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2388) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.209) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"k": 3} | {"circuits": [], "gradients": []} |
25caa872a28c7633f669573343fe00e2 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "ta... | {"states": [421, 437], "expectation_value": -4.212170628000605, "params": [[[0.0027, 0.0044], [3.1385, 0.0018000000000000002], [3.1398, 0.006200000000000001], [-0.0027, 0.0013000000000000002], [3.1385, 0.0008], [1.6353, 0.0045000000000000005], [-0.0018000000000000002, 0.0035], [3.1396, 0.0086], [0.3705, 0.0052000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(5)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(6) @ Z(4)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(1) @ Z(4) @ Z(5)) + -0.125 * (Z(6) @ Z(1) @ Z(4)) + -0.125 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.75, -4.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.75, "smallest_bitstrings": ["1001001010", "1001010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0027) q[0];
rz(0.0044) q[0];
rx(3.1385) q[1];
rz(0.0018) q[1];
rx(3.1398) q[2];
rz(0.0062) q[2];
rx(-0.0027) q[3];
rz(0.0013) q[3];
rx(3.1385) q[4];
rz(0.0008) q[4];
rx(1.6353) q[5];
rz(0.0045) q[5];
rx(-0.0018) q[6];
rz(0.0035) q[6];
rx(3.1396) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
3089006415682407251 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [4, 7], [3, 6], [1, 6], [0, 7], [0, 4], [5, 7], [0, 3], [2, 6], [2, 7], [0, 2], [2, 3], [4, 6], [3, 5], [0, 5]]} | {"states": [166, 46], "expectation_value": -3.142277143075787, "params": null, "bitstrings": ["01011001", "11010001"], "total_optimization_steps": 67, "probabilities": [0.056148271389357546, 0.7691672891256283], "optimization_time": 93.63609766960144} | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["00101110", "01011001", "01101100", "10100110", "10000110", "10000011", "01111001", "01111100", "10010011", "11010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[3];
ry(1.0293) q[5];
cry(1.4052) q[5], q[2];
cry(-0.9035) q[2], q[3];
cry(-0.7688) q[5], q[7];
ry(1.2198) q[6];
cry(-1.403) q[6], q[1];
cry(-0.237) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
051f85a864e08806dcf14439f31a57f1 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [289, 353], "expectation_value": -5.52991619114322, "params": [0.5251, 0.5322, -0.005, 0.0026000000000000003, 0.2751, 0.268, 0.5312, 0.5303, 0.0043, 0.0027, -0.0041, -0.0059, -0.0017000000000000001, -0.0016, -0.0006000000000000001, -0.0094, 0.5339, 0.527, 0.5288, 0.5319, -0.004, -0.0009000000000000001, 0.27,... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.0 *... | 13 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["010011110", "110001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5251) q[0];
ry(-0.005) q[1];
ry(0.2751) q[2];
ry(0.5312) q[3];
ry(0.0043) q[4];
ry(-0.0041) q[5];
ry(-0.0017) q[6];
ry(-0.0006) q[7];
ry(0.5339) q[8];
crz(-0.0284) q[8], q[0];
crz(-0.3495) q[7], q[8];
crz(0.3778) q[6], q[7];
crz(0.44) q[5], q[6];
crz(-0.4... | 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] 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 flo... | null | {"circuits": [], "gradients": []} |
4414867571136143966 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4], [0, 3, 5], [3, 5, 6], [1, 6, 7], [2, 3, 7], [1, 2, 3]]} | {"states": [221, 93], "expectation_value": -1.480691781691958, "params": [0.8747, 0.8045, 1.4868000000000001, 1.4939, 0.6272, 0.6063000000000001, 1.4918, 1.4891, 1.1184, 0.5275000000000001, 1.486, 1.4871, 1.4874, 1.4879, 1.4909000000000001, 1.4899, 1.0139, 1.4873, 1.4231, 0.6078, -0.12440000000000001, 0.2805, -0.148300... | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.16666666666666666... | 14 | 8 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.8747) q[0];
ry(1.4868) q[1];
ry(0.6272) q[2];
ry(1.4918) q[3];
ry(1.1184) q[4];
ry(1.486) q[5];
ry(1.4874) q[6];
ry(1.4909) q[7];
crx(1.0139) q[7], q[0];
crx(-0.018) q[6], q[7];
crx(0.3106) q[5], q[6];
crx(1.4714) q[4], q[5];
crx(-0.0516) q[3], q[4];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4ef5b8ae9f7c2af9940d89976f60e031 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [97, 1], "expectation_value": -0.5250076128947091, "params": [[0.0536], [-0.047900000000000005]], "bitstrings": ["10011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.00471832708132601, 0.004962840141918668], "optimization_time": 4.649542331695557} | -0.75 * (Z(0) @ Z(2)) + -1.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(5)) + -1.75 * (Z(4) @ Z(6)) + 0.5 * Z(2) + -0.25 * Z(0) + 1.0 * Z(5) + -0.75 * Z(1) + -1.5 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0804) q[0];
cx q[2], q[0];
cx q[0], q[5];
rz(-0.1608) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.134) q[1];
cx q[2], q[1];
cx q[5], q[1];
rz(-0.0268) q[1];
cx q[5], q[1];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [46, 77], "expectation_value": -0.17442130033641354, "params": [[0.0694, 0.0746], [-0.0538, -0.058800000000000005]], "bitstrings": ["1010001", "0110010"], "total_optimization_steps": 10, "probabilities": [0.010367401324253877, 0.01036740132425388], "optimization_time": 3.9249215126037598} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["1010001", "0110010"]} | 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(0.0694) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0694) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(0.0694) q[4];
cx q[2], q[4];
cx q[3], q[0];
rz(0.0174) q[0];
cx q[3], q[0];
cx q[0], q[4];
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": []} |
9c58c5b77a3170e613a26f379fffeef6 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [166, 110], "expectation_value": -0.2063267674543352, "params": [[0.0765, 0.0816], [-0.06670000000000001, -0.0805]], "bitstrings": ["01011001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.005327940160620637, 0.005922883934572233], "optimization_time": 5.428466558456421} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "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(0.0382) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0382) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0382) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0382) q[0];
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] 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": []} |
9e8a866d2c0011b6946d4c64e758f31c | 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": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 124], "expectation_value": -35.19425731957327, "params": [[-0.0375, -0.0066, 0.0037, 0.0159], [0.06620000000000001, 0.059000000000000004, 0.06810000000000001, 0.06430000000000001]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.020195500687428553, 0.0248846... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | 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(-0.2625) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2625) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2625) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2625) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
5c069ce8f11218e714edeb10c2a636ea | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "targ... | {"states": [16383, 4095], "expectation_value": -34.999715507536656, "params": [[[0.0023, 0.0029000000000000002], [1.5715000000000001, 0.0001], [-0.0024000000000000002, 0.0079], [0.0025, 0.0064], [-0.0025, 0.0079], [0.0033, 0.0061], [0.0029000000000000002, 0.0058000000000000005], [0.0021000000000000003, 0.0004], [0.0028... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * (Z(9) @ Z(8)) + -2.0 * (Z(10) @ Z(11)) ... | 2 | 14 | 1 | {"smallest_eigenvalues": [-36.99999999999989], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -33.999999999999844, "smallest_bitstrings": ["11000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.0023) q[0];
rz(0.0029) q[0];
rx(1.5715) q[1];
rz(0.0001) q[1];
rx(-0.0024) q[2];
rz(0.0079) q[2];
rx(0.0025) q[3];
rz(0.0064) q[3];
rx(-0.0025) q[4];
rz(0.0079) q[4];
rx(0.0033) q[5];
rz(0.0061) q[5];
rx(0.0029) q[6];
rz(0.0058) q[6];
rx(0.0021) 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[... | {"node": 0} | {"circuits": [], "gradients": []} |
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