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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4d9c0a679165a8428113584eee3a2f8b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [184, 168], "expectation_value": -4.198371970015027, "params": [0.3173, -0.0228, 0.3129, -0.0188, -0.0034000000000000002, 0.228, 0.0045000000000000005, 0.2551, 0.37560000000000004, -0.0013000000000000002, 0.3758, 0.061700000000000005, 0.21680000000000002, 0.0198, 0.2233, 0.0196, 0.39480000000000004, 0.0019, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(7) + ... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["01111001", "11101001", "10110110", "01010111", "11000111", "11010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3173) q[0];
rz(-0.0228) q[0];
rx(-0.0034) q[1];
rz(0.228) q[1];
rx(0.3756) q[2];
rz(-0.0013) q[2];
rx(0.2168) q[3];
rz(0.0198) q[3];
rx(0.3948) q[4];
rz(0.0019) q[4];
rx(-0.0158) q[5];
rz(0.2178) q[5];
rx(-0.018) q[6];
rz(-0.2201) q[6];
rx(-0.0171) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [104, 108], "expectation_value": -3.7800291489655153, "params": [-0.015700000000000002, 0.2222, -0.0152, 0.2218, 0.404, 0.009600000000000001, 0.39840000000000003, 0.0006000000000000001, 0.4031, -0.0045000000000000005, 0.3975, -0.0027, 0.07150000000000001, -0.1698, 0.07440000000000001, -0.1711, 0.398300000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(7) + -0.5 * Z(4) | 7 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000011", "10010011", "10011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0157) q[0];
rz(0.2222) q[0];
rx(0.404) q[1];
rz(0.0096) q[1];
rx(0.4031) q[2];
rz(-0.0045) q[2];
rx(0.0715) q[3];
rz(-0.1698) q[3];
rx(0.3983) q[4];
rz(-0.0043) q[4];
rx(0.3367) q[5];
rz(0.0058) q[5];
rx(-0.0131) q[6];
rz(0.2365) q[6];
rx(-0.011) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
c02c0d20f6c2eced217a1608fe24e974 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target":... | {"states": [88, 216], "expectation_value": -9.164152489769737, "params": [[[0.0019, 0.0079], [-0.0026000000000000003, 0.008400000000000001], [1.6337000000000002, 0.0022], [1.7063000000000001, 0.0046], [-0.0034000000000000002, 0.0021000000000000003], [1.7032, 0.006900000000000001], [1.7016, 0.0028], [0.0019, 0.0022], [0... | 0.5 * (Z(0) @ 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(9) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["1100100111", "1010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0019) q[0];
rz(0.0079) q[0];
rx(-0.0026) q[1];
rz(0.0084) q[1];
rx(1.6337) q[2];
rz(0.0022) q[2];
rx(1.7063) q[3];
rz(0.0046) q[3];
rx(-0.0034) q[4];
rz(0.0021) q[4];
rx(1.7032) q[5];
rz(0.0069) q[5];
rx(1.7016) q[6];
rz(0.0028) q[6];
rx(0.0019) 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": []} |
fc080107649a6d17dcb56ee14364c80b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target": 3}, {"weight": 4... | {"states": [119, 118], "expectation_value": -15.510649358651161, "params": [[0.031200000000000002, 0.0221], [-0.0514, -0.0579]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.009090938861778298, 0.010452599630856148], "optimization_time": 4.116584777832031} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2184) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2184) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2184) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2184) q[3];
cx q[0], 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
a95fe1af790884bf43922b4c66937937 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -0.3363904039696012, "params": [[0.0729], [-0.0659]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0014299775564026226, 0.0014575174368289699], "optimization_time": 3.422924041748047} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + 0.75 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(7)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(8)) + -0.25 * (Z(3) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.0365) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0365) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0365) q[4];
cx q[0], q[4];
cx q[1], q[7];
rz(-0.1094) q[7];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | 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": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 50.22284388542175} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11001000", "11010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(1.5681) q[6];
ry(1.4449) q[5];
cry(-1.568) q[6], q[0];
cry(-1.448) q[6], q[1];
cry(1.4402) q[5], q[2];
cry(-1.029) q[4], q[3];
cry(0.706) q[6], q[4];
cry(-0.4587) q[6], q[3];
c... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
6127224946031228756 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 5, 7], [2, 4, 5, 6], [0, 4], [0, 2, 3], [1, 3, 5], [1, 2, 6], [3, 7]]} | {"states": [124, 62], "expectation_value": -0.9911243350027231, "params": [[0.3509], [-0.33740000000000003]], "bitstrings": ["10000011", "11000001"], "total_optimization_steps": 40, "probabilities": [0.014100010943813138, 0.014582421790696295], "optimization_time": 3.2652275562286377} | 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7500000000000004, "smallest_bitstrings": ["11000001"]} | 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[5], q[0];
rz(0.3509) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(0.1754) q[2];
cx q[5], q[2];
cx q[0], q[2];
rz(0.117) q[2];
cx q[0], q[2];
cx q[5], q[7];
rz(0.117) q[7];
cx q[5], q[7];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
90f81c82692b1dd044ae903ac894de2a | 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": [429, 397], "expectation_value": -99.39170971854136, "params": [0.003, 0.0038, 2.8002000000000002, 0.0047, 2.8049, 0.001, 1.1725, 0.0081, 1.538, 0.009600000000000001, 0.003, 0.005200000000000001, 2.8087, 0.0086, 2.8042000000000002, 0.008, 0.002, 0.0057, 2.7983000000000002, 0.0046, 0.008, 0.0074, 0.0087000000... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(9) @ Z(7)) + 14.0 * Z(2) + -4.0 * Z(0) + 8.5 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-120.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -111.0, "smallest_bitstrings": ["1001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.003) q[0];
rz(0.0038) q[0];
rx(2.8002) q[1];
rz(0.0047) q[1];
rx(2.8049) q[2];
rz(0.001) q[2];
rx(1.1725) q[3];
rz(0.0081) q[3];
rx(1.538) q[4];
rz(0.0096) q[4];
rx(0.003) q[5];
rz(0.0052) q[5];
rx(2.8087) q[6];
rz(0.0086) q[6];
rx(2.8042) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
27e77dc99416ada4c5d281f5cb59d253 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4... | {"states": [64, 63], "expectation_value": -1.403865961024881, "params": [[0.0693, 0.0711, 0.076, 0.067], [-0.0543, -0.0538, -0.0665, -0.058]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.022703941915738823, 0.023195012681073456], "optimization_time": 9.883263349533081} | -0.25 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.75, -5.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.75, "smallest_bitstrings": ["1001000", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0347) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(0.0693) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(-0.0693) q[1];
cx q[6], q[1];
cx q[3], q[2];
rz(-0.0347) q[2];
cx q[3], q[2];
cx q[1], q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b72451fd8beb69606a84f4be9a392c11 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, ... | {"states": [128, 1], "expectation_value": -13.249859566697138, "params": null, "bitstrings": ["01111111", "11111110"], "total_optimization_steps": 25, "probabilities": [0.16039986051788002, 0.8124810515768286], "optimization_time": 25.37407374382019} | -1.0 * (Z(0) @ Z(4)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -1.0 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + 2.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -13.0, "smallest_bitstrings": ["11111110", "10000010", "11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5709) q[6];
cry(-1.5708) q[7], q[0];
ry(1.092) q[7];
ry(-0.5035) q[0];
ry(-1.5706) q[1];
ry(-1.5706) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.553) q[2];
cry(-0.1745) q[0], q[7];
cry(-... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... |
-9113301954828505956 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4], [0, 6], [8, 5], [0, 3], [1, 5, 6], [0, 2, 7], [8, 1, 7], [2, 3, 5], [0, 5], [1, 2], [8, 6], [4, 6, 7], [2, 5, 7], [0, 1], [1, 3, 7], [8, 3], [1, 4, 6]]} | {"states": [238, 174], "expectation_value": -1.4196251778620028, "params": [0.7253000000000001, 0.1526, 0.5644, 0.006, 0.8047000000000001, -0.0444, 0.8016000000000001, 0.0076, 0.7993, 0.0682, 0.7906000000000001, 0.0021000000000000003, 0.8009000000000001, -0.0441, 0.7988000000000001, 0.0039000000000000003, 0.7951, 0.092... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.1666666666666... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333333, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7253) q[0];
rz(0.1526) q[0];
rx(0.8047) q[1];
rz(-0.0444) q[1];
rx(0.7993) q[2];
rz(0.0682) q[2];
rx(0.8009) q[3];
rz(-0.0441) q[3];
rx(0.7951) q[4];
rz(0.0926) q[4];
rx(0.8024) q[5];
rz(-0.0569) q[5];
rx(0.7974) q[6];
rz(-0.0602) q[6];
rx(0.7996) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [10, 21], "expectation_value": -0.2688174334246034, "params": [[0.0509, 0.0519, 0.0684, 0.07400000000000001], [-0.0473, -0.033, -0.0453, -0.0538]], "bitstrings": ["10101", "01010"], "total_optimization_steps": 10, "probabilities": [0.04284618236403723, 0.04652056182424413], "optimization_time": 3.19146108627... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0509) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0509) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0509) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(0.0509) q[2];
cx q[3], q[2];
rz(-0.0509) q[1];
rz(-0.0509) 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[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [219, 122], "expectation_value": -43.5964027719992, "params": null, "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.13386896449906283, 0.3013653293628955], "optimization_time": 157.08980178833008} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-3.4097) q[3];
ry(7.3963) q[6];
cry(-21.8231) q[6], q[3];
ry(15.7536) q[1];
cry(-63.1937) q[6], q[1];
ry(3.4277) q[2];
ry(5.268) q[0];
cry(-63.4586) q[6], q[2];
ry(62.9219) q[4];
cry(24.499) q[... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"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(-3.4097) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
5fcc80649738bc6ebb5e6ed34bbe4c7e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [233, 218], "expectation_value": -51.83025940389548, "params": null, "bitstrings": ["100010110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.05386737886444366, 0.32813936282799694], "optimization_time": 176.2348394393921} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-7.2777) q[7];
ry(30.2888) q[4];
ry(15.5116) q[1];
ry(32.5712) q[2];
cry(-125.5904) q[2], q[1];
ry(1.8243) q[5];
cry(-40.9369) q[5], q[1];
ry(2.3575) q[8];
cry(-15.6703) q[8], q[1];
cry... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"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(-7.2777) 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] = ... |
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": -0.2517014686003162, "params": [[-0.0417, 0.07390000000000001], [0.0661, -0.0489]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004968256669861505, 0.00505019571446422], "optimization_time": 2.949645757675171} | -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 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10111110", "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(0.0209) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0625) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0209) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0625) q[4];
cx q[3], q[4];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [486, 244], "expectation_value": -23.534915286223733, "params": [[-0.0195, -0.0165, 0.0004], [0.0422, 0.0632, 0.0654]], "bitstrings": ["000011001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.0065316014741511035, 0.008145922682643345], "optimization_time": 5.543764352798462} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(6)) + 16.0 * Z(1) + 14.0 * Z(0) + 13.5 *... | 1 | 9 | 3 | {"smallest_eigenvalues": [-73.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.1755) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1755) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1755) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1755) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
0541faf635a6399f550a5b5935bfa17a | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [5, 33], "expectation_value": -3.9741067800335346, "params": null, "bitstrings": ["111010", "011110"], "total_optimization_steps": 17, "probabilities": [0.07397901535986358, 0.9005745124138398], "optimization_time": 12.064839601516724} | 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(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(4) + -1.0 * Z(5) + -1.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["010111", "111010", "111001", "100111", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[5];
cry(-1.0398) q[0], q[3];
ry(0.7022) q[0];
ry(-0.4578) q[3];
cry(0.4969) q[5], q[0];
cry(-0.3761) q[5], q[3];
cry(-0.1216) q[5], q[2];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
71e10f6a07412051601a17c1aaab540b | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target":... | {"states": [0, 127], "expectation_value": -7.229925536876585, "params": [-0.0018000000000000002, 1.3381, -0.0016, 0.0059, -0.0014, 1.3345, -0.0013000000000000002, 0.0082, 0.6868000000000001, 0.0369, -0.6396000000000001, 0.0045000000000000005, -0.7978000000000001, 0.1254, 0.7314, 0.0056, 0.8056000000000001, 0.2129, 0.21... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) | 6 | 9 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0018) q[0];
rz(1.3381) q[0];
rx(-0.0014) q[1];
rz(1.3345) q[1];
rx(0.6868) q[2];
rz(0.0369) q[2];
rx(-0.7978) q[3];
rz(0.1254) q[3];
rx(0.8056) q[4];
rz(0.2129) q[4];
rx(0.805) q[5];
rz(0.2214) q[5];
rx(0.9055) q[6];
rz(0.3068) q[6];
rx(0.933) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
f4866d34fc4832d3ba3211e9f23410a9 | 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": 1, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {"weight": 8, "source... | {"states": [440, 312], "expectation_value": -22.14418626068953, "params": [[[0.8036000000000001, -0.0033], [0.7731, 0.0204], [0.0041, 0.40390000000000004], [0.8062, 0.003], [0.8071, -0.0021000000000000003], [0.8065, 0.0028], [0.5859, 0.0937], [0.7195, -0.0345], [0.0031000000000000003, 0.49310000000000004]], [[0.7977000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(5)) + -1.0 * Z(1) + -0.5 * Z(0) + -9.5 *... | 1 | 9 | 2 | {"smallest_eigenvalues": [-62.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["011000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8036) q[0];
rz(-0.0033) q[0];
rx(0.7731) q[1];
rz(0.0204) q[1];
rx(0.0041) q[2];
rz(0.4039) q[2];
rx(0.8062) q[3];
rz(0.003) q[3];
rx(0.8071) q[4];
rz(-0.0021) q[4];
rx(0.8065) q[5];
rz(0.0028) q[5];
rx(0.5859) q[6];
rz(0.0937) q[6];
rx(0.7195) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
422319ba04d136ad73513dac1d0065c7 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [1789, 1653], "expectation_value": -8.112063966634103, "params": [[-0.1562, -0.09970000000000001], [0.17300000000000001, 0.1696]], "bitstrings": ["100100000010", "100110001010"], "total_optimization_steps": 20, "probabilities": [0.0029888375752868124, 0.0029888375752868132], "optimization_time": 7.2903454303... | -1.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(8)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-12.875, -12.875, -12.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.625, "smallest_bitstrings": ["100110001010", "100100011000", "100100000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[4], q[8];
rz(0.3124) q[8];
cx q[4], q[8];
cx q[4], q[5];
rz(-0.1562) q[5];
cx q[4], q[5];
cx q[8], q[5];
rz(0.1562) q[5];
cx q[8], q[5];
cx q[4], q[6];
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": []} |
dddd2c6c503a97ade6b445e6815c4f85 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -15.339588681646857, "params": [0.0049, 0.26830000000000004, 0.0021000000000000003, 0.23650000000000002, -0.0016, 0.2396, 0.003, 0.3042, 0.0009000000000000001, -0.2822, 0.0014, 0.31930000000000003, 0.4055, -0.0001, -0.0018000000000000002, 0.2371, 0.0054, 0.3032, 0.0079, 0.2714000... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 3 | 7 | 4 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0049) q[0];
rz(0.2683) q[0];
rx(0.0021) q[1];
rz(0.2365) q[1];
rx(-0.0016) q[2];
rz(0.2396) q[2];
rx(0.003) q[3];
rz(0.3042) q[3];
rx(0.0009) q[4];
rz(-0.2822) q[4];
rx(0.0014) q[5];
rz(0.3193) q[5];
rx(0.4055) q[6];
rz(-0.0001) q[6];
crz(0.0102) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b0781d2a7698d63ad5627ee31af2626b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [96, 100], "expectation_value": -5.877337511546985, "params": [0.078, -0.0959, 0.0926, -0.0563, 0.3, 0.0029000000000000002, 0.2973, -0.0031000000000000003, 0.3062, -0.0036000000000000003, 0.307, -0.0029000000000000002, 0.12190000000000001, 0.009000000000000001, 0.10840000000000001, -0.0038, 0.2296, 0.0431, 0... | 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(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) ... | 6 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["10011011", "11010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.078) q[0];
rz(-0.0959) q[0];
rx(0.3) q[1];
rz(0.0029) q[1];
rx(0.3062) q[2];
rz(-0.0036) q[2];
rx(0.1219) q[3];
rz(0.009) q[3];
rx(0.2296) q[4];
rz(0.0431) q[4];
rx(0.2993) q[5];
rz(0.0023) q[5];
rx(0.0504) q[6];
rz(0.1166) q[6];
rx(0.1914) q[7];
rz(0.003... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
7895815311101418911 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[4, 6, 7], [8, 2], [3, 5], [0, 5], [1, 2], [9, 4, 5], [0, 2, 6, 9, 10], [3, 6, 7, 9, 10], [8, 1, 9, 7], [1, 5, 6, 8, 10], [1, 10, 5, 7], [2, 4], [8, 9, 3, 4], [8, 1, 5, 7], [8, 3, 7], [1, 3, 7], [0, 3, 6, 8, 10]]} | {"states": [1895, 1899], "expectation_value": -4.622198260752887, "params": [2.1025, 1.0364, 1.6595, 1.4529, 1.4343000000000001, 1.7084000000000001, -0.0012000000000000001, -0.0048000000000000004, 1.2255, 1.1801000000000001, 1.1709, 1.9308, 0.002, -0.0077, 0.8755000000000001, 0.9421, 2.1818, 1.2794, 1.6107, 1.805400000... | 0.16666666666666666 * (Z(5) @ Z(7)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.1 * (Z(9) @ Z(7)) + 0.08333333333333333 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.05 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(9)) + 0.1 * (Z(4) @ Z(7)) + 0.08333333333333333 ... | 14 | 11 | 1 | {"smallest_eigenvalues": [-5.016666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.883333333333334, "smallest_bitstrings": ["00010010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(2.1025) q[0];
ry(1.6595) q[1];
ry(1.4343) q[2];
ry(-0.0012) q[3];
ry(1.2255) q[4];
ry(1.1709) q[5];
ry(0.002) q[6];
ry(0.8755) q[7];
ry(2.1818) q[8];
ry(1.6107) q[9];
ry(1.5725) q[10];
crx(0.0831) q[10], q[0];
crx(0.9562) q[9], q[10];
crx(-0.7286) q[8], 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": []} |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [7, 13], "expectation_value": -3.2222145398145288, "params": [[0.0673, 0.0726], [-0.0668, -0.0742]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.029561332881349975, 0.030102389517254767], "optimization_time": 3.663677930831909} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | 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(0.2355) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2355) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2355) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2355) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2355... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 3} | {"circuits": [], "gradients": []} |
-7746930730195096535 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 1, 7], [9, 4], [0, 8], [2, 3], [5, 7], [9, 6]]} | {"states": [327, 71], "expectation_value": -2.074328214087673, "params": [0.7689, -0.005, 0.0689, 0.0006000000000000001, 1.2069, 0.2469, 1.1966, 0.0007, 1.1748, 0.0434, -0.0181, 0.0092, 1.2043000000000001, 0.0961, 1.0699, 0.0067, 1.1525, 0.0911, -0.0119, 0.003, 1.1433, 0.0747, -0.0137, 0.0037, 1.1834, 0.0732, -0.0123, ... | 0.08333333333333333 * (Z(9) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(9)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.666666666666667, "smallest_bitstrings": ["0010101110", "1010101100", "0010010011", "1010010001", "1001111000", "1110111000", "0110111010", "0001111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7689) q[0];
rz(-0.005) q[0];
rx(1.2069) q[1];
rz(0.2469) q[1];
rx(1.1748) q[2];
rz(0.0434) q[2];
rx(1.2043) q[3];
rz(0.0961) q[3];
rx(1.1525) q[4];
rz(0.0911) q[4];
rx(1.1433) q[5];
rz(0.0747) q[5];
rx(1.1834) q[6];
rz(0.0732) q[6];
rx(1.2022) 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": []} |
80032f1ea74142841bf5bf4c4cd845e4 | 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": [205, 333], "expectation_value": -113.42132098971442, "params": [-0.0021000000000000003, 0.1637, -0.0015, -0.7492000000000001, 0.6729, 0.3759, 0.6941, -0.2943, 0.7858, 0.09620000000000001, -0.0025, 0.5922000000000001, 0.0028, -0.7405, 0.7844, -0.0016, 0.8628, 0.1652, 0.0015, 0.9025000000000001, 0.83090000000... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(0) @ Z(4)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(0)) + 7.5 * (Z(10) @ Z(9)) + 1.5 * Z(3) + -1.0 * Z(2) + 13.5 * Z(4) + 4.5 * Z(0) + -3.5 * Z(5) + 17.5 * ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["11010110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0021) q[0];
rz(0.1637) q[0];
rx(-0.0015) q[1];
rz(-0.7492) q[1];
rx(0.6729) q[2];
rz(0.3759) q[2];
rx(0.6941) q[3];
rz(-0.2943) q[3];
rx(0.7858) q[4];
rz(0.0962) q[4];
rx(-0.0025) q[5];
rz(0.5922) q[5];
rx(0.0028) q[6];
rz(-0.7405) q[6];
rx(0.7844) 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... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [166, 165], "expectation_value": -0.570587335211, "params": [0.5940000000000001, 0.0034000000000000002, 0.598, -0.0029000000000000002, 0.1966, -0.1066, 0.2097, -0.11, 0.5748, 0.0031000000000000003, 0.5743, -0.0023, 0.1443, -0.1269, 0.138, -0.1501, 0.5716, -0.0979, 0.5625, -0.028, 0.5965, -0.0212, 0.599, 0.04... | 0.25 * (Z(0) @ Z(1)) + -0.0027777777777777783 * (Z(2) @ Z(0)) + -0.0027777777777777783 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.001388888888888889 * (Z(4) @ Z(0)) + 0.0006944444444444445 * (Z(4) @ Z(2)) + 0.001388888888888889 * (Z(5) @ Z(1)) + 0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00138888... | 6 | 8 | 2 | {"smallest_eigenvalues": [-1.015277777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0152777777777775, "smallest_bitstrings": ["01011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.594) q[0];
rz(0.0034) q[0];
rx(0.1966) q[1];
rz(-0.1066) q[1];
rx(0.5748) q[2];
rz(0.0031) q[2];
rx(0.1443) q[3];
rz(-0.1269) q[3];
rx(0.5716) q[4];
rz(-0.0979) q[4];
rx(0.5965) q[5];
rz(-0.0212) q[5];
rx(0.5848) q[6];
rz(-0.0947) q[6];
rx(0.5976) 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[... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
678308485f35da941d402fc5065b7236 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [2044, 2047], "expectation_value": -16.016404876813887, "params": null, "bitstrings": ["00000000011", "00000000000"], "total_optimization_steps": 100, "probabilities": [0.11000670116301114, 0.3295186979908406], "optimization_time": 220.25077152252197} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + 1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.5, -20.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.5, "smallest_bitstrings": ["00000000000", "11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5706) q[2], q[4];
cry(1.5708) q[4], q[5];
cry(1.2391) q[5], q[2];
cry(1.5708) q[4], q[3];
cry(-0.7997) q[3], q[4];
ry(-0.1352) q[4];
cry(0.1818) q[5], q[4];
cry(1.... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5706) q[2], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[... |
6120327897732656255 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 2], [0, 1, 3, 5], [0, 1, 4, 5], [2, 3, 5, 6]]} | {"states": [78, 79], "expectation_value": -1.6590737900105874, "params": null, "bitstrings": ["0110001", "0110000"], "total_optimization_steps": 40, "probabilities": [0.13384655561816902, 0.7998899476972473], "optimization_time": 53.121176958084106} | 0.5 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.7500000000000002], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["0110000"]} | 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(1.3016) q[5];
cry(-0.969) q[4], q[2];
ry(1.1495) q[0];
cry(-0.5151) q[0], q[2];
ry(1.0898) q[4];
ry(-0.4363) q[2];
cry(0.3732) q[4], q[0];
cry(0.3709) q[0], q[4];
cry(-0.7005) q[5], q[1];
cry(0.6256) 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(1.3016) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-8865041839401238467 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 2], [0, 2, 6], [2, 5, 7], [8, 1, 3], [0, 8, 5, 6], [9, 5, 6, 7], [9, 2], [0, 1, 3, 7], [8, 9, 6], [2, 5, 6], [1, 4]]} | {"states": [799, 791], "expectation_value": -3.0868068960766983, "params": [1.6838000000000002, 0.049, 1.4812, 0.0063, 1.6702000000000001, 0.0395, 1.5801, 0.0039000000000000003, 0.3936, 0.0146, -0.0514, 0.0016, 0.6601, -0.0673, 0.27740000000000004, 0.0071, 0.6589, 0.0329, -0.46940000000000004, 0.0098, 1.6726, 0.0461, 1... | 0.5 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5)... | 6 | 10 | 1 | {"smallest_eigenvalues": [-3.2500000000000004, -3.2500000000000004], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0833333333333335, "smallest_bitstrings": ["0110001000", "0011101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6838) q[0];
rz(0.049) q[0];
rx(1.6702) q[1];
rz(0.0395) q[1];
rx(0.3936) q[2];
rz(0.0146) q[2];
rx(0.6601) q[3];
rz(-0.0673) q[3];
rx(0.6589) q[4];
rz(0.0329) q[4];
rx(1.6726) q[5];
rz(0.0461) q[5];
rx(1.2865) q[6];
rz(-0.2758) q[6];
rx(1.682) 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": []} |
7506521506737851335 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6, 8], [0, 3, 5, 6, 7], [0, 2, 4], [8, 5, 6, 7], [3, 4, 5, 7], [0, 2, 6, 7, 8], [2, 4, 5], [1, 3, 6, 7, 8], [2, 3], [8, 1, 4], [0, 3, 4, 5, 6], [8, 0, 5, 7], [0, 3, 4, 6, 8], [0, 3, 4, 6, 7], [1, 4, 6, 7]]} | {"states": [463, 317], "expectation_value": -2.2295172547348385, "params": [[0.3613], [-0.36200000000000004]], "bitstrings": ["000110000", "011000010"], "total_optimization_steps": 40, "probabilities": [0.009093540123294767, 0.009197712906654505], "optimization_time": 2.4485585689544678} | 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(0)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(8) @ Z(1)) + 0.23333333333333334 * (Z(8) @ Z(0)) + 0.15000000000000002 * (Z(8) @ Z(3)) + 0.2833333333333333 * (Z(8) @ Z(6)) + 0.18333333333333335... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.400000000000001, "smallest_bitstrings": ["011000010"]} | 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(0.0361) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0723) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1807) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(0.1325) q[6];
cx q[1], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
787e0bfd359c5676c8eb0120a2f9dd29 | 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": [621, 613], "expectation_value": -62.772675045186695, "params": [[[0.9888, 0.2207], [1.0063, 0.3875], [-0.054, 0.3013], [-0.6048, 0.8369000000000001], [0.49200000000000005, 0.9841000000000001], [0.3526, 0.34940000000000004], [0.1711, 1.0016], [-0.7873, 0.5997], [-0.01, 1.0050000000000001], [0.386, 0.5682], [... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(2) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 7.5 * Z(0) + 5.5 * Z(1) + -3.0 * Z(3) + 14.5 * Z(5) +... | 15 | 11 | 2 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["10110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.9888) q[0];
ry(1.0063) q[1];
ry(-0.054) q[2];
ry(-0.6048) q[3];
ry(0.492) q[4];
ry(0.3526) q[5];
ry(0.1711) q[6];
ry(-0.7873) q[7];
ry(-0.01) q[8];
ry(0.386) q[9];
ry(-0.0157) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-873254663262147330 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 6], [2, 3], [0, 6], [4, 6], [1, 4], [6, 7]]} | {"states": [106, 98], "expectation_value": -0.4251929636729155, "params": [0.6973, -0.048400000000000006, 0.5558000000000001, 0.0016, 0.7112, 0.027200000000000002, 0.7087, 0.0016, 0.7068, 0.026500000000000003, 0.6979000000000001, 0.007, 0.6980000000000001, -0.021, 0.6619, 0.0006000000000000001, 0.6993, -0.0862, 0.6409,... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(7) | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01010010", "10101101", "10011101", "01100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6973) q[0];
rz(-0.0484) q[0];
rx(0.7112) q[1];
rz(0.0272) q[1];
rx(0.7068) q[2];
rz(0.0265) q[2];
rx(0.698) q[3];
rz(-0.021) q[3];
rx(0.6993) q[4];
rz(-0.0862) q[4];
rx(0.7041) q[5];
rz(-0.0219) q[5];
rx(0.7042) q[6];
rz(0.0246) q[6];
rx(0.7002) 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": []} |
c4fd4922d2c165ab37a0955c733d543f | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [162, 166], "expectation_value": -1.2820566187345461, "params": [0.8049000000000001, -0.0007, 0.6573, -0.038700000000000005, 0.8115, -0.0035, 0.6394000000000001, -0.0738, 0.2772, -0.2726, 0.797, -0.09330000000000001, 0.8068000000000001, -0.0002, 0.002, 0.5976, 0.8082, 0.008400000000000001, 0.6499, 0.0043, 0.... | 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)) + 0.5 * (Z(0... | 3 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["01001011", "01011001", "00011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8049) q[0];
rz(-0.0007) q[0];
rx(0.6573) q[1];
rz(-0.0387) q[1];
rx(0.8115) q[2];
rz(-0.0035) q[2];
rx(0.6394) q[3];
rz(-0.0738) q[3];
rx(0.2772) q[4];
rz(-0.2726) q[4];
rx(0.797) q[5];
rz(-0.0933) q[5];
rx(0.8068) q[6];
rz(-0.0002) q[6];
rx(0.002) 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": []} |
7f5a9dfb1e236bee4145d5b6dc87f612 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [74, 91], "expectation_value": -6.1406295786935745, "params": null, "bitstrings": ["10110101", "10100100"], "total_optimization_steps": 63, "probabilities": [0.10520568084598521, 0.7250061271220744], "optimization_time": 68.58083152770996} | -0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(0) @ Z(5)) + -1.0 * (Z(0) @ Z(6)) + -0.5 * Z(1) + 1.5 * Z(5) + -0.5 * Z(2) + 3.0 * Z(6) + 0.5 * Z(3) + 0.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["10100100", "11000100"]} | 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(1.5709) q[6];
cry(1.4449) q[7], q[3];
cry(1.4449) q[5], q[1];
cry(-1.4449) q[6], q[0];
cry(-0.9598) q[6], q[5];
cry(1.0462) q[4], q[7];
cry(1.069) q[6], q[4];
ry(0.5782) q[7];
cry(-0.8137) q[1]... | null | {"source": 0, "sink": 5} | {"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(1.5709) 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[... |
9e8a866d2c0011b6946d4c64e758f31c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1398, 1382], "expectation_value": -0.00544077693912456, "params": [1.4906000000000001, 0.007500000000000001, 1.6242, 0.0038, 1.4767000000000001, 0.0026000000000000003, 1.6354000000000002, 0.0048000000000000004, 1.5547, 0.0046, 1.5947, 0.0044, 1.5826, 0.0043, 1.5617, 0.0051, 1.5117, 0.0066, 1.618, 0.0085, 1.... | 0.25 * (Z(0) @ Z(1)) + -0.000390625 * (Z(2) @ Z(0)) + -0.000390625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000390625 * (Z(6) @ Z(2)) + 0.... | 16 | 12 | 1 | {"smallest_eigenvalues": [-1.5109375000000003, -1.5109375000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5105468749999997, "smallest_bitstrings": ["010101100110", "101010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4906) q[0];
rz(0.0075) q[0];
rx(1.6242) q[1];
rz(0.0038) q[1];
rx(1.4767) q[2];
rz(0.0026) q[2];
rx(1.6354) q[3];
rz(0.0048) q[3];
rx(1.5547) q[4];
rz(0.0046) q[4];
rx(1.5947) q[5];
rz(0.0044) q[5];
rx(1.5826) q[6];
rz(0.0043) q[6];
rx(1.5617) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-6344998954620906062 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 5], [3, 4], [2, 4], [1, 3], [0, 4], [0, 2]]} | {"states": [12, 44], "expectation_value": -1.8418766668795459, "params": null, "bitstrings": ["110011", "010011"], "total_optimization_steps": 37, "probabilities": [0.3290466044872191, 0.4816246873444518], "optimization_time": 30.615540981292725} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["110011", "100101", "010011", "101100", "001100", "011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[2], q[5];
ry(1.0293) q[2];
ry(-0.6992) q[5];
cry(-0.6534) q[0], q[4];
ry(0.9979) q[3];
cry(-1.3795) q[3], q[1];
cry(-0.405) q[2], q[4];
cry(0.4207) q[3], q[2];
cry(0.3199) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
255f1dd604659bd35e94474fe8f5241d | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2... | {"states": [3, 47], "expectation_value": -2.2698594446876466, "params": [[-0.14600000000000002], [0.15460000000000002]], "bitstrings": ["1111100", "1010000"], "total_optimization_steps": 20, "probabilities": [0.01971858188974151, 0.019975185921941925], "optimization_time": 2.0925776958465576} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.25, "smallest_bitstrings": ["1111100", "1010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.219) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.073) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.292) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.292) q[4];
cx q[1], q[4];
cx q[0], 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
8790253148889747345 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [0, 5, 6], [2, 3, 4, 6], [0, 2, 3], [3, 4, 5]]} | {"states": [125, 109], "expectation_value": -0.7822602746563814, "params": [[[2.6696, 0.0057], [1.6307, 0.0012000000000000001], [1.5539, 0.0012000000000000001], [1.9453, 0.0054], [2.6725000000000003, 0.0079], [1.5268000000000002, 0.007], [2.5496000000000003, 0.01]]], "bitstrings": ["0000010", "0010010"], "total_optimiz... | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.4166666666666665, "smallest_bitstrings": ["1000100", "0010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(2.6696) q[0];
rz(0.0057) q[0];
rx(1.6307) q[1];
rz(0.0012) q[1];
rx(1.5539) q[2];
rz(0.0012) q[2];
rx(1.9453) q[3];
rz(0.0054) q[3];
rx(2.6725) q[4];
rz(0.0079) q[4];
rx(1.5268) q[5];
rz(0.007) q[5];
rx(2.5496) q[6];
rz(0.01) q[6];
c[0] = measure q[0];
c[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] 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] ... | null | {"circuits": [], "gradients": []} |
16f78d4600a63f9e28571cad22ffe3ee | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [231, 182], "expectation_value": -43.694755128467975, "params": null, "bitstrings": ["100011000", "101001001"], "total_optimization_steps": 100, "probabilities": [0.0839699571890289, 0.20964461840676027], "optimization_time": 156.36982798576355} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "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];
ry(0.5995) q[4];
ry(9.6748) q[6];
ry(63.1148) q[3];
ry(-2.4156) q[7];
ry(62.981) q[5];
ry(22.2003) q[1];
cry(19.3644) q[4], q[5];
cry(29.5585) q[5], q[4];
ry(1.3799) q[8];
cry(5.3523) q[8]... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(0.5995) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
202ee68edcd35951c01db9e082e778cb | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [49, 53], "expectation_value": -5.26794742949148, "params": [0.37570000000000003, 0.6967, 0.0936, -0.7762, 1.607, -0.0018000000000000002, 1.6063, 0.0067, -0.0017000000000000001, 0.1505, 1.5915000000000001, -0.0032, 0.8677, 0.0039000000000000003, 1.6075000000000002, 0.0095, 0.18460000000000001, -0.02650000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + -0.5 * Z(3) ... | 4 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3757) q[0];
rz(0.6967) q[0];
rx(0.0936) q[1];
rz(-0.7762) q[1];
rx(1.607) q[2];
rz(-0.0018) q[2];
rx(1.6063) q[3];
rz(0.0067) q[3];
rx(-0.0017) q[4];
rz(0.1505) q[4];
rx(1.5915) q[5];
rz(-0.0032) q[5];
rx(0.8677) q[6];
rz(0.0039) q[6];
rx(1.6075) 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": []} |
b10e647670f759bc4f3dd1387515cbab | 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": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 25.857972383499146} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -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": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-1.0342) q[0], q[3];
ry(0.7003) q[0];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[3];
cry(0.4962) q[4], q[0];
cry(-0.3788) q[4], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
761a2f48ec1fa921b21db709625e853a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"sour... | {"states": [409, 401], "expectation_value": -6.145816513515987, "params": [[[0.5407000000000001, 0.0004], [0.5432, 0.0302], [-0.0016, -0.3518], [0.1502, -0.2354], [0.6047, -0.0026000000000000003], [0.5059, -0.059300000000000005], [0.0009000000000000001, -0.29960000000000003], [0.14300000000000002, -0.24130000000000001]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["001101110", "011100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5407) q[0];
rz(0.0004) q[0];
rx(0.5432) q[1];
rz(0.0302) q[1];
rx(-0.0016) q[2];
rz(-0.3518) q[2];
rx(0.1502) q[3];
rz(-0.2354) q[3];
rx(0.6047) q[4];
rz(-0.0026) q[4];
rx(0.5059) q[5];
rz(-0.0593) q[5];
rx(0.0009) q[6];
rz(-0.2996) q[6];
rx(0.143) 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": []} |
b426b8aff164c6823b185eb6b091738d | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 5}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -1.4994123015107959, "params": [[0.0658], [-0.0645]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.019350854923946063, 0.01962533979910711], "optimization_time": 1.704026460647583} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.2303) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2303) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2303) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2632) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2303... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | {"k": 3} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | 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": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [417, 421], "expectation_value": -0.021608641510287144, "params": [1.4311, 0.0032, 1.6863000000000001, 0.0095, 1.6887, 0.0001, 1.4556, 0.0067, 1.7288000000000001, 0.0088, 1.3872, 0.0006000000000000001, 1.5537, 0.0002, 1.578, 0.0098, 1.393, 0.0048000000000000004, 1.7249, 0.0088, 0.0092, 0.0022, 0.0057, 0.0086... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 3 | 10 | 1 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4311) q[0];
rz(0.0032) q[0];
rx(1.6863) q[1];
rz(0.0095) q[1];
rx(1.6887) q[2];
rz(0.0001) q[2];
rx(1.4556) q[3];
rz(0.0067) q[3];
rx(1.7288) q[4];
rz(0.0088) q[4];
rx(1.3872) q[5];
rz(0.0006) q[5];
rx(1.5537) q[6];
rz(0.0002) q[6];
rx(1.578) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
3257eb74c5059c972aa1cf1f57c7841b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [11, 56], "expectation_value": -0.9044899088356991, "params": [[0.0516, 0.0629, 0.0631], [-0.0256, -0.048100000000000004, -0.0563]], "bitstrings": ["1110100", "1000111"], "total_optimization_steps": 10, "probabilities": [0.011686068754307574, 0.012130156871273664], "optimization_time": 4.357720851898193} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + -0.5 * Z(6) + -1.5 * Z... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1110100", "1010110", "1000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0516) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0516) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0516) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0516) q[5];
cx q[0], q[5];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
159369b6d44dd5ed6d0054f99b69fa7d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [911, 1023], "expectation_value": -15.119557947263214, "params": null, "bitstrings": ["0001110000", "0000000000"], "total_optimization_steps": 100, "probabilities": [0.07935222444970225, 0.40495768742448973], "optimization_time": 227.0566601753235} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + 0.5 * Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[1], q[2];
cry(1.5706) q[9], q[7];
ry(1.056) q[9];
cry(1.5708) q[7], q[8];
cry(1.5708) q[8], q[6];
cry(-0.6473) q[6], q[7];
ry(-0.1153) q[7];
cry(0.1321) q[8], q[7];... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
7636979756302871339 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2, 3, 5, 11, 12], [0, 1, 2, 5, 6, 9, 10, 11, 12], [0, 3, 5, 7, 8, 9, 10, 11], [8, 1, 2, 10], [4, 5], [2, 3, 6, 8, 9, 10, 11], [0, 1, 4, 8, 10], [0, 2, 4, 7, 9, 10, 11, 12], [0, 1, 3, 4, 6, 10, 11, 12], [1, 2, 3, 4, 7, 9, 11, 12], [5, 6, 7, 9, 10],... | {"states": [7503, 7375], "expectation_value": -5.311766695643219, "params": null, "bitstrings": ["0001010110000", "0001100110000"], "total_optimization_steps": 100, "probabilities": [0.06474259031290143, 0.8689603404928143], "optimization_time": 1337.795349597931} | 0.21349206349206346 * (Z(1) @ Z(2)) + 0.22182539682539681 * (Z(3) @ Z(2)) + 0.15793650793650793 * (Z(3) @ Z(1)) + 0.14285714285714285 * (Z(5) @ Z(2)) + 0.1111111111111111 * (Z(5) @ Z(1)) + 0.14682539682539683 * (Z(5) @ Z(3)) + 0.23690476190476187 * (Z(11) @ Z(2)) + 0.2218253968253968 * (Z(11) @ Z(1)) + 0.26468253968253... | 13 | 13 | 1 | {"smallest_eigenvalues": [-5.357936507936506], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.3361111111111095, "smallest_bitstrings": ["0001100110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(1.5706) q[11];
ry(1.5666) q[2];
ry(1.5514) q[0];
ry(1.364) q[6];
ry(1.0859) q[1];
cry(-1.0839) q[5], q[4];
ry(0.8955) q[5];
cry(-0.6097) q[2], q[4];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(1.5706) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
-5861285360304175534 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 1, 12], [0, 5, 6, 7, 9, 11], [0, 9, 10, 11], [0, 10, 4, 6], [1, 4, 6, 8, 9, 12], [1, 2, 3, 4, 5, 10], [0, 2, 3, 7], [1, 2, 6, 7, 8, 12], [1, 5, 8, 9, 12], [0, 3, 12, 5], [6, 9, 10, 11, 12], [3, 4, 5, 6, 11], [0, 3, 7, 10, 12], [0, 1, 2, 6], [0, 3,... | {"states": [2799, 2807], "expectation_value": -6.546972169917723, "params": [[[1.3354000000000001, 0.003, 0.0006000000000000001, 0.0027], [0.004, 0.21330000000000002, 1.5735000000000001, 0.0039000000000000003], [0.1066, 0.0034000000000000002, 0.006500000000000001, 0.0037], [0.6015, 0.003, 1.266, 0.0047], [0.95490000000... | 0.44999999999999996 * (Z(0) @ Z(1)) + 0.4333333333333333 * (Z(12) @ Z(1)) + 0.4333333333333333 * (Z(12) @ Z(0)) + 0.24999999999999997 * (Z(5) @ Z(1)) + 0.15 * (Z(5) @ Z(0)) + 0.2833333333333333 * (Z(5) @ Z(12)) + 0.3 * (Z(6) @ Z(1)) + 0.49999999999999994 * (Z(6) @ Z(0)) + 0.39999999999999997 * (Z(6) @ Z(12)) + 0.15 * (... | 12 | 13 | 1 | {"smallest_eigenvalues": [-7.699999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.466666666666668, "smallest_bitstrings": ["1010100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.3354) q[0];
rz(0.003) q[0];
ry(0.004) q[1];
rz(0.2133) q[1];
ry(0.1066) q[2];
rz(0.0034) q[2];
ry(0.6015) q[3];
rz(0.003) q[3];
ry(0.9549) q[4];
rz(0.0052) q[4];
ry(1.0517) q[5];
rz(0.0015) q[5];
ry(2.3968) q[6];
rz(0.0019) q[6];
ry(-0.002) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [0, 127], "expectation_value": -1.1360521010818472, "params": [[0.0351, 0.075], [-0.038900000000000004, -0.08510000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.006296817445591153, 0.006338858712772573], "optimization_time": 26.75977325439453} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10100000", "10010000", "10000000", "10110000", "10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.0702) q[0];
cx q[3], q[0];
cx q[6], q[1];
rz(-0.1229) q[1];
cx q[6], q[1];
cx q[3], q[7];
rz(-0.0702) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.0877) 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": []} |
b5518f36afa4dbdb0f95543c602afa47 | 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": 3, "source": 0, "target": 1}, {"weight": 1, "source": 2, "target": 3}, {"weight": 18, "source": 2, "target": 6}, {"weight": 17, "source": 2, "targ... | {"states": [366, 110], "expectation_value": -23.54022454838227, "params": [[0.0058000000000000005, 0.012100000000000001, 0.0077, -0.0008], [-0.0273, -0.046200000000000005, -0.050100000000000006, -0.0335]], "bitstrings": ["010010001", "110010001"], "total_optimization_steps": 10, "probabilities": [0.005221742047833444, ... | 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-97.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.0522) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0522) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0522) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0522) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6148353282823150813 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [2, 3, 5], [0, 4], [2, 6], [0, 5], [1, 3, 4], [2, 4, 5], [3, 6, 7], [1, 5, 6]]} | {"states": [61, 31], "expectation_value": -3.1703052977486976, "params": null, "bitstrings": ["11000010", "11100000"], "total_optimization_steps": 51, "probabilities": [0.09473578411857375, 0.8362724014998751], "optimization_time": 80.96256685256958} | 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.3333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["11100000"]} | 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(1.4449) q[3];
ry(1.2317) q[5];
cry(-1.433) q[5], q[0];
ry(1.4383) q[4];
cry(1.4301) q[5], q[7];
cry(-1.3461) q[6], q[2];
cry(-0.1426) q[7], q[0];
ry(0.5445) q[6];
cry(-0.4064) q[5], q[2];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.4449) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
56e34af205e5dd92b84910e936583f99 | 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": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [42581, 43605], "expectation_value": -2.0148445707908706, "params": [-0.8655, -0.8654000000000001, 0.3291, 0.33840000000000003, 1.2768000000000002, 1.1831, 0.3007, 0.3332, 0.7102, 0.7766000000000001, 0.3642, 0.37020000000000003, 0.4042, 0.4047, 0.0132, 0.0303, -0.0219, 0.0022, 0.3957, 0.392, -0.0142, 0.0015,... | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006875000000000002 * (Z(4) @ Z(0)) + 0.000375 * (Z(4) @ Z(2)) + -0.0006875000000000002 * (Z(5) @ Z(1)) + 0.000375 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005000000000000001 * (Z(6) @ ... | 13 | 16 | 4 | {"smallest_eigenvalues": [-2.01762499999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0176249999999487, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(-0.8655) q[0];
ry(0.3291) q[1];
ry(1.2768) q[2];
ry(0.3007) q[3];
ry(0.7102) q[4];
ry(0.3642) q[5];
ry(0.4042) q[6];
ry(0.0132) q[7];
ry(-0.0219) q[8];
ry(0.3957) q[9];
ry(-0.0142) q[10];
ry(0.3955) q[11];
ry(-0.0124) q[12];
ry(0.3948) q[13];
ry(-0.0149) ... | 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [0, 4], "expectation_value": -0.5551533944112625, "params": [[[0.5909, -0.0017000000000000001], [0.1005, -0.2871], [0.2821, -0.156]], [[0.5913, -0.0018000000000000002], [0.0974, -0.2869], [0.2851, -0.1558]], [[0.5907, 0.0098], [0.1046, 0.0046], [0.2846, 0.0012000000000000001]]], "bitstrings": ["111", "011"],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.5909) q[0];
rz(-0.0017) q[0];
rx(0.1005) q[1];
rz(-0.2871) q[1];
rx(0.2821) q[2];
rz(-0.156) q[2];
rx(0.5913) q[0];
rz(-0.0018) q[0];
rx(0.0974) q[1];
rz(-0.2869) q[1];
rx(0.2851) q[2];
rz(-0.1558) q[2];
rx(0.5907) q[0];
rz(0.0098) q[0];
rx(0.1046) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
87caa31bd5898ba70984deddfd0af9cf | 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": 1, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 8}, {"weight": 15, "source": 1, "target": 6}, {"weight": 16, "sourc... | {"states": [238, 230], "expectation_value": -75.42436019138754, "params": [0.1584, 0.1211, 0.1558, 0.1154, 0.3919, -0.0432, 0.39590000000000003, -0.011300000000000001, 0.39, -0.041100000000000005, 0.39280000000000004, -0.0135, 0.38580000000000003, -0.030100000000000002, 0.39080000000000004, -0.0223, 0.0081, -0.1832, 0.... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 22.5 * Z(2) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.0, "smallest_bitstrings": ["100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1584) q[0];
rz(0.1211) q[0];
rx(0.3919) q[1];
rz(-0.0432) q[1];
rx(0.39) q[2];
rz(-0.0411) q[2];
rx(0.3858) q[3];
rz(-0.0301) q[3];
rx(0.0081) q[4];
rz(-0.1832) q[4];
rx(0.1853) q[5];
rz(0.1129) q[5];
rx(0.3202) q[6];
rz(-0.006) q[6];
rx(0.3914) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [34, 42], "expectation_value": -0.607601245569984, "params": [0.6035, 0.17650000000000002, 0.271, 0.2997, 0.5986, 0.0429, 0.2773, 0.2569, 0.5983, 0.1158, 0.3068, 0.27490000000000003, 0.6007, 0.20450000000000002, 0.26730000000000004, 0.29510000000000003, 0.5972000000000001, 0.054900000000000004, 0.2722, 0.264... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 18 | 6 | 3 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.6035) q[0];
rz(0.1765) q[0];
rx(0.271) q[1];
rz(0.2997) q[1];
rx(0.5986) q[2];
rz(0.0429) q[2];
rx(0.2773) q[3];
rz(0.2569) q[3];
rx(0.5983) q[4];
rz(0.1158) q[4];
rx(0.3068) q[5];
rz(0.2749) q[5];
crz(-0.26) q[5], q[0];
crz(0.2722) q[4], q[5];
crz(0.2327... | OPENQASM 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": []} |
-2248723971481903880 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [8, 7], [1, 3], [1, 4], [8, 1], [0, 4], [2, 4], [8, 2], [8, 4], [5, 7], [0, 2], [2, 7], [0, 5], [3, 6], [8, 5], [0, 6]]} | {"states": [207, 204], "expectation_value": -4.423812720097134, "params": null, "bitstrings": ["100110000", "100110011"], "total_optimization_steps": 72, "probabilities": [0.042307122044060876, 0.8281010922282852], "optimization_time": 138.8096568584442} | 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) ... | 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": ["100110011", "011001100", "011011100", "100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[7], q[8];
cry(-1.0342) q[6], q[0];
ry(1.0293) q[6];
cry(1.4052) q[6], q[5];
cry(-0.9035) q[5], q[0];
cry(1.5176) q[5], q[2];
cry(-0.8573) q[5], q[8];
cry(-1.3837) q[6], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
15100e222fa25033a8fce0705323829c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 20, "source": 1, "target": 6}, {"weight":... | {"states": [504, 440], "expectation_value": -89.19236910912414, "params": [0.1492, -0.0609, 0.1516, -0.10110000000000001, 0.4983, 0.0673, 0.4969, 0.0478, 0.4914, 0.0534, 0.4932, 0.025900000000000003, 0.28450000000000003, -0.09970000000000001, 0.28390000000000004, -0.10880000000000001, 0.49720000000000003, 0.08600000000... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(1)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(5)) + 21.0 * Z(2) ... | 5 | 10 | 3 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.0, "smallest_bitstrings": ["1001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1492) q[0];
rz(-0.0609) q[0];
rx(0.4983) q[1];
rz(0.0673) q[1];
rx(0.4914) q[2];
rz(0.0534) q[2];
rx(0.2845) q[3];
rz(-0.0997) q[3];
rx(0.4972) q[4];
rz(0.086) q[4];
rx(0.4906) q[5];
rz(0.0634) q[5];
rx(0.5) q[6];
rz(0.0657) q[6];
rx(0.0898) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
36052b6d9554e9c6e978c526c4fee33f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [175, 143], "expectation_value": -31.327236314706745, "params": [1.198, 0.13720000000000002, 0.7519, 0.26080000000000003, 0.7861, -0.12190000000000001, 0.6016, 0.5894, 1.1973, 0.0412, 1.1964000000000001, 0.0006000000000000001, 1.1192, 0.0011, 1.1945000000000001, 0.034800000000000005, 1.199, 0.0098, 0.7528, 0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(4) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(5)) + 19.0 * Z(0) + 4.0 * Z(1) + 7.5 * Z(2) + 6.0 * Z(4) + 2.5 * Z(3) + 12.5 * Z(5) + 1.0 * Z(6) + 13.5 * ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["01110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.198) q[0];
rz(0.1372) q[0];
rx(0.7519) q[1];
rz(0.2608) q[1];
rx(0.7861) q[2];
rz(-0.1219) q[2];
rx(0.6016) q[3];
rz(0.5894) q[3];
rx(1.1973) q[4];
rz(0.0412) q[4];
rx(1.1964) q[5];
rz(0.0006) q[5];
rx(1.1192) q[6];
rz(0.0011) q[6];
rx(1.1945) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11]}"} | {"circuits": [], "gradients": []} |
cb3c7c022cb9712afc36cb282644505f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -1.4670763613851465, "params": [[-0.1572], [0.1631]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 20, "probabilities": [0.010269085653298626, 0.011168437164574647], "optimization_time": 2.433081865310669} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.1572) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.1572) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.1572) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(-0.393) q[7];
cx q[0], q[7];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [9, 3], "expectation_value": -7.275005931388309, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12631059505875555, 0.6745310886168708], "optimization_time": 23.54879069328308} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 18 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5709) q[0];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[1];
ry(0.8051) q[3];
ry(-0.3504) q[2];
ry(-0.3105) q[1];
cry(0.3649) q[3], q[4];
cry(-0.2282) q[3], q[2];
cry(0.3307) q[4], q[3];
cry(-0.24... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5709) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
c5211bad50b928e7b2cd71a45947d261 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 6}, {"weight": 6, "source": 2, "targ... | {"states": [222, 220], "expectation_value": -24.044463629889343, "params": [[0.025900000000000003, 0.0009000000000000001], [-0.07730000000000001, -0.054200000000000005]], "bitstrings": ["100100001", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005186983067450493, 0.006491239164045808], "optimizatio... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(6)) + 4.5 * (Z(4) @ Z(6)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2331) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2331) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2331) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(0.2331) q[3];
cx q[6], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1242, 1502], "expectation_value": -2.985694493513399, "params": null, "bitstrings": ["01100100101", "01000100001"], "total_optimization_steps": 100, "probabilities": [0.06306196579520189, 0.6625597524668825], "optimization_time": 412.2550148963928} | 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)) + 0.125 * (Z... | 1 | 11 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.625, "smallest_bitstrings": ["00010101000", "00011000010", "01000100001", "01000010010", "00100100100", "10000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(-1.1871) q[9], q[5];
ry(1.1774) q[6];
ry(1.0342) q[7];
ry(1.0231) q[0];
cry(-0.5442) q[4], q[5];
ry(0.5608) q[9];
cry(-0.8972) q[2], q[10];
cry(0.7468) q[9], q[4];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(-1.1871) q[9], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc... |
fca2293c2a9a83d1eeb5cc8ed6acc934 | 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": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [86, 116], "expectation_value": -4.999874628887887, "params": null, "bitstrings": ["0101001", "0001011"], "total_optimization_steps": 36, "probabilities": [1.7184297198140115e-05, 0.9999247925092263], "optimization_time": 39.379175662994385} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(3) + -1.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.4449) q[6];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[2];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[6];
cry(-0.1259) q[1], q[5];
cry(0.1248) q[4], q[0];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -0.04836999488383323, "params": [[0.024300000000000002, 0.0158, -0.0223, -0.0465], [-0.0409, -0.0385, -0.0205, 0.021]], "bitstrings": ["0101", "1100"], "total_optimization_steps": 10, "probabilities": [0.06513693624613368, 0.06513693624613372], "optimization_time": 1.92695498466... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0243) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0243) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0243) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0243) q[2];
cx q[1], q[2];
rz(-0.0486) q[1];
rz(-0.0243) q[0];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
a4f7d93f5ed996b37075df46e118b7f5 | 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": 4, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 18, "source": 1, "target": 2}, {"weight": 9, "source... | {"states": [37, 293], "expectation_value": -11.546159672606345, "params": [[[0.7963, -0.0004], [0.6839000000000001, -0.056400000000000006], [0.5556, -0.1279], [0.8017000000000001, 0.0016], [0.5954, 0.0889], [-0.0013000000000000002, 0.4302], [0.7991, 0.0031000000000000003], [0.7466, 0.033800000000000004], [0.8032, 0.000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -2.0 * Z(1) + -2.0 * Z(0) + -4.0 * Z(2) + 0.5 * Z(3) + -... | 1 | 9 | 2 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.0, "smallest_bitstrings": ["011011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7963) q[0];
rz(-0.0004) q[0];
rx(0.6839) q[1];
rz(-0.0564) q[1];
rx(0.5556) q[2];
rz(-0.1279) q[2];
rx(0.8017) q[3];
rz(0.0016) q[3];
rx(0.5954) q[4];
rz(0.0889) q[4];
rx(-0.0013) q[5];
rz(0.4302) q[5];
rx(0.7991) q[6];
rz(0.0031) q[6];
rx(0.7466) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-7092725537231230361 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 3, 5, 7], [1, 2, 5, 7, 8], [1, 4, 5, 7], [0, 1, 3, 5, 6], [8, 4, 6], [1, 5, 6, 7], [0, 1, 7], [2, 3, 4, 7, 8], [1, 2, 4], [8, 1, 4, 7], [1, 3, 6, 7]]} | {"states": [350, 441], "expectation_value": -0.14533391647375588, "params": [[-0.0784], [0.0758]], "bitstrings": ["010100001", "001000110"], "total_optimization_steps": 10, "probabilities": [0.002128271676876602, 0.0021286353258504324], "optimization_time": 5.18548321723938} | 0.05 * (Z(0) @ Z(2)) + 0.1 * (Z(3) @ Z(2)) + 0.1 * (Z(3) @ Z(0)) + 0.1 * (Z(5) @ Z(2)) + 0.1 * (Z(5) @ Z(0)) + 0.1 * (Z(5) @ Z(3)) + 0.15000000000000002 * (Z(7) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(3)) + 0.26666666666666666 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(1) @ Z(2))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.6333333333333337, -2.6333333333333337], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.516666666666667, "smallest_bitstrings": ["010100001", "001000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.0078) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0157) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0157) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.0157) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-4199559637343228163 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [1, 3], [0, 2], [0, 4]]} | {"states": [13, 7], "expectation_value": -1.7576928662994085, "params": null, "bitstrings": ["10010", "11000"], "total_optimization_steps": 27, "probabilities": [0.057338829844053155, 0.8271342482087165], "optimization_time": 17.358494758605957} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["11000", "00111"]} | 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];
cry(-1.0342) q[4], q[0];
cry(-1.0342) q[3], q[1];
ry(1.0293) q[3];
ry(-0.6992) q[1];
cry(-0.6534) q[2], q[0];
ry(0.9979) q[4];
cry(1.1473) q[4], q[2];
ry(-0.5076) q[0];
cry(0.4404) q[2], q[3];
cry(0.3932) q[2], q[4];
ry(... | 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];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
613ef125dc4e28340a6427c0ac6373f5 | 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": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [58348, 58364], "expectation_value": -15.465904539841585, "params": [0.6068, 0.00030000000000000003, 0.6041000000000001, 0.0057, 0.6072000000000001, 0.0047, 0.004200000000000001, 0.45930000000000004, 0.0032, -0.41390000000000005, 0.0044, 0.437, 0.6076, 0.004, 0.6021000000000001, 0.0051, 0.6073000000000001, -... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 18 | 16 | 3 | {"smallest_eigenvalues": [-37.62499999999973], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999981, "smallest_bitstrings": ["0001110000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.6068) q[0];
rz(0.0003) q[0];
rx(0.6041) q[1];
rz(0.0057) q[1];
rx(0.6072) q[2];
rz(0.0047) q[2];
rx(0.0042) q[3];
rz(0.4593) q[3];
rx(0.0032) q[4];
rz(-0.4139) q[4];
rx(0.0044) q[5];
rz(0.437) q[5];
rx(0.6076) q[6];
rz(0.004) q[6];
rx(0.6021) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-8724236009168458715 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[1, 2, 3], [0, 2, 3]]} | {"states": [13, 3], "expectation_value": -0.009573669550257388, "params": [[-0.053000000000000005], [0.0632]], "bitstrings": ["0010", "1100"], "total_optimization_steps": 10, "probabilities": [0.06333487684476061, 0.0633360235258317], "optimization_time": 0.36844825744628906} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.3333333333333333 * Z(2) + 0.16666666666666666 * Z(1) + 0.3333333333333333 * Z(3) + 0.16666666666666666 * Z(0) | 1 | 4 | 1 | {"smallest_eigenvalues": [-0.6666666666666666, -0.6666666666666666, -0.6666666666666666], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.3333333333333335, "smallest_bitstrings": ["1100", "0010", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(-0.0177) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0353) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0177) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.0177) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0177) q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[... | null | {"circuits": [], "gradients": []} |
a2fbaabb441862c2d900444ba4ef581f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"sour... | {"states": [15, 255], "expectation_value": -0.7903754309232048, "params": [[0.0604], [-0.057]], "bitstrings": ["11110000", "00000000"], "total_optimization_steps": 10, "probabilities": [0.005254063641448903, 0.005360041289454411], "optimization_time": 2.099220037460327} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 1.0 * Z(0) + 1.0 * Z(2) + -1.5 * Z(3) + 0.5 * Z(7) + 0.5 *... | 5 | 8 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2416) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0604) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2416) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0604) 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(x1) q[2];
cx q[... | {"node": 2} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [494, 747], "expectation_value": -0.04878831983888883, "params": [[0.063, -0.051000000000000004], [-0.0611, -0.0054]], "bitstrings": ["1000010001", "0100010100"], "total_optimization_steps": 10, "probabilities": [0.0010989885620775223, 0.0010989885620775238], "optimization_time": 10.634718656539917} | 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(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0315) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0315) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0315) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | null | {"circuits": [], "gradients": []} |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [374, 214], "expectation_value": -22.251902531457176, "params": [[0.028200000000000003, 0.0142], [-0.0684, -0.08020000000000001]], "bitstrings": ["010001001", "100101001"], "total_optimization_steps": 10, "probabilities": [0.006639222491688056, 0.00779083718135153], "optimization_time": 3.376746892929077} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.2538) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.2538) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.2538) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(0.2538) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [13, 31], "expectation_value": -5.955902257435416, "params": [[-0.0385, -0.0092, -0.033100000000000004], [0.0577, 0.039900000000000005, 0.0616]], "bitstrings": ["11110010", "11100000"], "total_optimization_steps": 10, "probabilities": [0.006925940560484916, 0.00705435444672224], "optimization_time": 6.290307... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.154) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.462) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.231) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(0.077) q[6];
cx q[4], 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] 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": []} |
05d141b5ffa8b0efeb584dec24db300e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -26.51645182067796, "params": [[[0.0025, 3.1619], [0.0034000000000000002, 0.0027], [0.0026000000000000003, -0.0031000000000000003], [0.002, 0.0023], [0.0024000000000000002, 0.0021000000000000003], [1.6059, -0.0028], [0.0025, 0.0028]]], "bitstrings": ["0000000", "0000001"], "t... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(4)) + 1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(5)) + 0.... | 15 | 7 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0025) q[0];
ry(0.0034) q[1];
ry(0.0026) q[2];
ry(0.002) q[3];
ry(0.0024) q[4];
ry(1.6059) q[5];
ry(0.0025) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(3.1619) q[0];
ry(0.0027) q[1];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"node": 6} | {"circuits": [], "gradients": []} |
f6494d29a2885917ea72724ca31dc87e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -17.853280878726583, "params": [0.0023, -0.10540000000000001, 0.0008, -0.1068, 0.0019, -0.1502, 0.0025, -0.1511, 0.0028, -0.1494, 0.0026000000000000003, -0.1579, 0.0016, -0.14350000000000002, 0.006200000000000001, -0.1509, 0.004, -0.1482, 0.0026000000000000003, -0.1525, 0.003, -0... | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0023) q[0];
rz(-0.1054) q[0];
rx(0.0019) q[1];
rz(-0.1502) q[1];
rx(0.0028) q[2];
rz(-0.1494) q[2];
rx(0.0016) q[3];
rz(-0.1435) q[3];
rx(0.004) q[4];
rz(-0.1482) q[4];
rx(0.003) q[5];
rz(-0.1495) q[5];
rx(-0.0005) q[6];
rz(-0.1529) q[6];
rx(-0.0024) 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": 8} | {"circuits": [], "gradients": []} |
c4559e2109a60fa6a7bb29fcc8218635 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [496, 497], "expectation_value": -1.960913731912358, "params": [[[0.4848, 0.0983], [0.7039000000000001, -0.0002], [0.6997, 0.0011], [0.7019000000000001, -0.0013000000000000002], [0.6456000000000001, -0.0024000000000000002], [0.7057, 0.0002], [0.2288, 0.22], [0.227, 0.2212], [-0.004, 0.4983], [0.5448000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 3 | {"smallest_eigenvalues": [-4.375, -4.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.375, "smallest_bitstrings": ["0010100011", "1000001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4848) q[0];
rz(0.0983) q[0];
rx(0.7039) q[1];
rz(-0.0002) q[1];
rx(0.6997) q[2];
rz(0.0011) q[2];
rx(0.7019) q[3];
rz(-0.0013) q[3];
rx(0.6456) q[4];
rz(-0.0024) q[4];
rx(0.7057) q[5];
rz(0.0002) q[5];
rx(0.2288) q[6];
rz(0.22) q[6];
rx(0.227) 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": []} |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -3.996464044453145, "params": null, "bitstrings": ["001101", "011001"], "total_optimization_steps": 25, "probabilities": [0.06634810229922904, 0.9303665171780984], "optimization_time": 23.473244667053223} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"]} | 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[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
cry(-1.0342) q[3], q[1];
ry(0.7003) q[3];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[3];
cry(-0.3789) q[0], q[1];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
16f78d4600a63f9e28571cad22ffe3ee | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"weight": 11, "source": 2, "targ... | {"states": [185, 182], "expectation_value": -18.742177206217093, "params": [[-0.0391, -0.0122], [0.07050000000000001, 0.0682]], "bitstrings": ["101000110", "101001001"], "total_optimization_steps": 10, "probabilities": [0.007317914101725487, 0.009130822492461001], "optimization_time": 3.3699746131896973} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.5, "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(-0.3519) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3519) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3519) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3519) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
6172ec2f30329f156b64312801e66ef4 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 6... | {"states": [36, 37], "expectation_value": -6.463513464447093, "params": [-0.0017000000000000001, -0.41300000000000003, -0.0018000000000000002, 0.009000000000000001, 1.4052, 2.0825, -1.4052, 0.0011, -0.003, 1.3962, 0.003, 0.0006000000000000001, 0.0027, 0.773, 0.0027, 0.0038, 1.5682, -0.0033, 1.5668, 0.001700000000000000... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.0 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -0.25 * Z(0) + 1.75 * Z(1) + -1.5 * Z(3) + -0.25 * Z(6) + 1.25 * Z(4) + 0.5 * Z(5) | 7 | 7 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["1010000", "1011010", "1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0017) q[0];
rz(-0.413) q[0];
rx(1.4052) q[1];
rz(2.0825) q[1];
rx(-0.003) q[2];
rz(1.3962) q[2];
rx(0.0027) q[3];
rz(0.773) q[3];
rx(1.5682) q[4];
rz(-0.0033) q[4];
rx(-0.013) q[5];
rz(-1.448) q[5];
rx(-0.7934) q[6];
rz(2.9288) q[6];
crz(-2.1211) q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
294512af72c0fecd4cefe8fd6a356b5c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 155.4960675239563} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "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];
ry(22.4081) q[5];
ry(31.6164) q[7];
ry(63.0918) q[1];
ry(9.0828) q[2];
ry(1.8402) q[6];
cry(-2.0325) q[6], q[2];
cry(-4.4748) q[6], q[5];
cry(2.4258) q[6], q[7];
cry(0.0565) q[6], q[1];
cry(0.386)... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
4cda5dee957682c08dbd329bc943c5ef | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1, 3], "expectation_value": -5.270250913870376, "params": [-0.0026000000000000003, 0.2982, -0.0035, 0.2859, 0.3161, 0.31420000000000003, 0.048600000000000004, 0.33490000000000003, 0.0037, 0.301, 0.4591, 0.0951, 0.501, 0.0006000000000000001, -0.0085, 0.2998, -0.0006000000000000001, 0.2932, 0.2950000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 3 | 7 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0026) q[0];
rz(0.2982) q[0];
rx(-0.0035) q[1];
rz(0.2859) q[1];
rx(0.3161) q[2];
rz(0.3142) q[2];
rx(0.0486) q[3];
rz(0.3349) q[3];
rx(0.0037) q[4];
rz(0.301) q[4];
rx(0.4591) q[5];
rz(0.0951) q[5];
rx(0.501) q[6];
rz(0.0006) q[6];
crz(0.0009) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9537b03a0720fea9486a83164aae2375 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -12.370821287598698, "params": [0.0032, 0.2494, 0.0027, 0.30560000000000004, 0.0046, 0.28190000000000004, 0.006900000000000001, 0.2228, 0.006900000000000001, 0.22210000000000002, 0.40640000000000004, 0.0037, 0.0014, 0.20520000000000002, 0.0024000000000000002, 0.3009, -0.000300000... | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 3 | 6 | 4 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0032) q[0];
rz(0.2494) q[0];
rx(0.0027) q[1];
rz(0.3056) q[1];
rx(0.0046) q[2];
rz(0.2819) q[2];
rx(0.0069) q[3];
rz(0.2228) q[3];
rx(0.0069) q[4];
rz(0.2221) q[4];
rx(0.4064) q[5];
rz(0.0037) q[5];
crz(-0.0001) q[5], q[4];
crz(-0.2083) 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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
3ed5f3574fc5742cdca345825268b283 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [239, 511], "expectation_value": -24.217337939985274, "params": null, "bitstrings": ["111100010000", "111000000000"], "total_optimization_steps": 100, "probabilities": [0.18896148696374218, 0.33481009529841577], "optimization_time": 276.8431715965271} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(7)) + -2.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5708) q[6], q[7];
cry(1.5708) q[7], q[4];
cry(1.5357) q[4], q[5];
cry(1.1916) q[4], q[6];
cry(-1.0432) q[4], q[7];
cry(-0.0222) q[5], q[7];
ry(-0.0641) q[... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) 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... |
6937cf9b84e6fcf0b74e4e8a04c76bf2 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"s... | {"states": [6652, 6655], "expectation_value": -12.786364132468535, "params": null, "bitstrings": ["0011000000011", "0011000000000"], "total_optimization_steps": 100, "probabilities": [0.083960824483253, 0.25126939596909154], "optimization_time": 1047.1591329574585} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(6) + 0.5 * Z(7) + 0.5 * Z(10) + 0... | 10 | 13 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["0011000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cry(1.5681) q[7], q[8];
ry(1.0829) q[7];
cry(1.5701) q[8], q[6];
cry(0.4303) q[6], q[8];
ry(-1.5681) q[3];
ry(-1.5708) q[2];
cry(1.5486) q[11], q[12];
... | null | {"node": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\ncry(1.5681) q[7], q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4]... |
-2366032373491310907 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5, 6, 7], [1, 2, 3, 4], [3, 4, 6], [4, 7], [3, 4, 5], [0, 3], [1, 4, 5], [1, 3, 5]]} | {"states": [119, 238], "expectation_value": -1.267612938639959, "params": [[-0.4545], [0.40950000000000003]], "bitstrings": ["10001000", "00010001"], "total_optimization_steps": 50, "probabilities": [0.017870011267097523, 0.017870011267097523], "optimization_time": 3.955643892288208} | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.03333333333333333 * (Z(2) @ Z(0)) + 0.36666666666666664 * (Z(5) @ Z(1)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.416666666666666, "smallest_bitstrings": ["00010001"]} | 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(-0.0303) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1061) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0303) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.3333) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
0897b31d9a82279b7ba3c27721e1c7dd | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1525, 1509], "expectation_value": -2.308445782386383, "params": [2.7046, 0.008, -0.0047, 0.0057, 1.8105, 0.0035, 2.6994000000000002, 0.0058000000000000005, 2.7018, 0.007500000000000001, 2.6912000000000003, 0.0043, 1.4781, 0.0061, 0.48260000000000003, 0.0008, 2.2838000000000003, 0.0066, 0.48100000000000004, ... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(6) @ Z(4)) + 0.0625 * (Z(6) @ Z(5)) + -0.0625 * (Z(2) @ Z(3) @ Z(4)) + -0.0625 * (Z(2)... | 16 | 11 | 1 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 26, "first_excited_energy... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.7046) q[0];
rz(0.008) q[0];
rx(-0.0047) q[1];
rz(0.0057) q[1];
rx(1.8105) q[2];
rz(0.0035) q[2];
rx(2.6994) q[3];
rz(0.0058) q[3];
rx(2.7018) q[4];
rz(0.0075) q[4];
rx(2.6912) q[5];
rz(0.0043) q[5];
rx(1.4781) q[6];
rz(0.0061) q[6];
rx(0.4826) 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": []} |
53c66e59dd215d6493a19ec6b6cb9e9c | 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": [214, 206], "expectation_value": -79.43455718334184, "params": [-0.0025, -1.3576000000000001, 0.8896000000000001, 0.01, 1.0409000000000002, -0.0019, 0.0016, 0.9305, 1.0214, -0.2575, 1.2014, 0.1825, 1.0631000000000002, -0.042300000000000004, 1.2797, 0.1862, -0.0019, 0.6181, -0.0055000000000000005, -0.86030000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(7) @ Z(6)) + 10.5 * Z(0) + 15.5 * Z(2) + 19.0 * Z(1) + 10.0 * Z(4) + ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(-1.3576) q[0];
rx(0.8896) q[1];
rz(0.01) q[1];
rx(1.0409) q[2];
rz(-0.0019) q[2];
rx(0.0016) q[3];
rz(0.9305) q[3];
rx(1.0214) q[4];
rz(-0.2575) q[4];
rx(1.2014) q[5];
rz(0.1825) q[5];
rx(1.0631) q[6];
rz(-0.0423) q[6];
rx(1.2797) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
82b7510e3c4f18f03c81315097910da2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capaci... | {"states": [1, 31], "expectation_value": -6.266123250957764, "params": null, "bitstrings": ["111110", "100000"], "total_optimization_steps": 45, "probabilities": [0.06491054619726463, 0.7440517742297588], "optimization_time": 39.900079011917114} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(5) + -0.25 * Z(2) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "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];
cry(1.5626) q[3], q[4];
cry(1.2309) q[4], q[3];
cry(1.5708) q[3], q[1];
cry(1.5708) q[4], q[2];
ry(-0.3588) q[2];
cry(0.3588) q[3], q[2];
ry(-0.2403) q[1];
cry(0.2403) q[4], q[1];
cry(1.3676) q[1], q[5];
cry(-1.4... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5626) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
f20b14ccaf46fd91ed39b9c05edbe906 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 8, "source":... | {"states": [123, 59], "expectation_value": -16.333540647652345, "params": [[0.0472, 0.008700000000000001], [-0.0746, -0.0506]], "bitstrings": ["0000100", "1000100"], "total_optimization_steps": 10, "probabilities": [0.018436388698901022, 0.020214677212511474], "optimization_time": 3.348783493041992} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(3) @ Z(2)) + 3.0 * (Z(4) @ Z(1)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) @ Z(5)) + 13.0 * Z(1) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-53.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["1000100"]} | 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(0.2832) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2832) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2832) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2832) q[3];
cx q[0], q[3];
cx q[2], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
32ac9e269a3e59976c84238bcc2168e7 | 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}, {"id": 15}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"sourc... | {"states": [4047, 32719], "expectation_value": -19.825926122696345, "params": [-0.8654000000000001, -0.767, -0.2114, 0.2926, -0.32980000000000004, 0.19160000000000002, 1.9146, 1.2137, 0.0023, 0.0026000000000000003, -1.8798000000000001, 1.8914000000000002, 1.5726, 1.5730000000000002, -0.0026000000000000003, -0.002600000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(11) @ Z(12)) + -1.0 * (Z(13) @ Z(14)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.... | 14 | 15 | 1 | {"smallest_eigenvalues": [-21.499999999999915], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.49999999999986, "smallest_bitstrings": ["000000000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.8654) q[0];
ry(-0.2114) q[1];
ry(-0.3298) q[2];
ry(1.9146) q[3];
ry(0.0023) q[4];
ry(-1.8798) q[5];
ry(1.5726) q[6];
ry(-0.0026) q[7];
ry(-0.0023) q[8];
ry(-0.0026) q[9];
ry(0.0023) q[10];
ry(2.7679) q[11];
ry(-0.0029) q[12];
ry(1.4883) q[13];
ry(1.747... | OPENQASM 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": 11} | {"circuits": [], "gradients": []} |
7e799239f8573f120a2c5e15cda2e88f | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 2, "target": 4}]} | {"states": [22261, 27486], "expectation_value": -2.3812893247448357, "params": [[-0.18610000000000002], [0.1786]], "bitstrings": ["010100100001010", "001010010100001"], "total_optimization_steps": 20, "probabilities": [0.00011552629295059929, 0.00011552629295059929], "optimization_time": 4.020662784576416} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 1 | 15 | 1 | {"smallest_eigenvalues": [-7.999999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.999999999999955, "smallest_bitstrings": ["001010010100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0];
rz(-0.1861) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1861) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1861) q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[15] c;
qubit[15] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
cx q[1], q[0]... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
11576eab70c2ec583415b5e8bd58f9e2 | 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": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 17.757460355758667} | 0.5 * (Z(0) @ 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(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[0];
ry(-1.4449) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1248) q[3], q[1];
cry(0.1216) q[1], q[2];
cry(0.121... | 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[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... |
fb354d60453679d679afcbc2ef259e36 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [33, 26], "expectation_value": -0.9266382884804109, "params": [[-0.075, -0.0665, -0.0805], [0.0766, 0.0683, 0.0736]], "bitstrings": ["011110", "100101"], "total_optimization_steps": 10, "probabilities": [0.0264258366078642, 0.030347566463724825], "optimization_time": 3.598281145095825} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.075) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.075) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.075) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.075) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.075... | OPENQASM 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": []} |
ad1ac98d2a374df439432fe378bbbe81 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -0.4803103222313215, "params": [[-0.0818], [0.0792]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0014626088199846156, 0.0014697232677787805], "optimization_time": 3.2296764850616455} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(9) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(9)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(8) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.25, -9.25, -9.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.25, "smallest_bitstrings": ["1000000000", "1111111110", "1111101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0409) q[0];
cx q[1], q[0];
cx q[0], q[9];
rz(-0.0818) q[9];
cx q[0], q[9];
cx q[1], q[3];
rz(0.1227) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.0818) q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3304041141560406249 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 6, 7, 8], [0, 1, 2, 4, 5, 6, 9], [0, 4, 6, 8, 10, 11], [2, 3, 4, 8, 11], [2, 3, 4, 10, 11], [2, 3, 5, 6, 7, 8], [0, 2, 7, 9, 10], [1, 4, 6, 8, 9], [9, 3, 4, 7], [0, 1, 3, 6, 7, 9, 10], [1, 2, 3, 6], [1, 4, 6, 7, 8, 11], [1, 10, 5, 6], [0, 1, 7, 8, ... | {"states": [3766, 3830], "expectation_value": -2.8265065653891077, "params": [1.9792, 0.0009000000000000001, 3.1395, 0.0094, 3.1444, 0.0029000000000000002, 0.3728, 0.0019, 3.1393, 0.0001, 1.5823, 0.0012000000000000001, 3.1388000000000003, 0.0059, 2.4333, 0.0035, 0.3614, 0.0014, 3.1439000000000004, 0.0086, 3.1392, 0.003... | 0.12142857142857143 * (Z(0) @ Z(1)) + 0.3476190476190476 * (Z(8) @ Z(1)) + 0.16428571428571428 * (Z(8) @ Z(0)) + 0.13095238095238096 * (Z(9) @ Z(1)) + 0.18095238095238095 * (Z(9) @ Z(0)) + 0.1738095238095238 * (Z(9) @ Z(8)) + 0.15714285714285714 * (Z(10) @ Z(1)) + 0.14047619047619048 * (Z(10) @ Z(0)) + 0.23333333333333... | 16 | 12 | 1 | {"smallest_eigenvalues": [-3.0547619047619055], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.9738095238095235, "smallest_bitstrings": ["000100001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.9792) q[0];
rz(0.0009) q[0];
rx(3.1395) q[1];
rz(0.0094) q[1];
rx(3.1444) q[2];
rz(0.0029) q[2];
rx(0.3728) q[3];
rz(0.0019) q[3];
rx(3.1393) q[4];
rz(0.0001) q[4];
rx(1.5823) q[5];
rz(0.0012) q[5];
rx(3.1388) q[6];
rz(0.0059) q[6];
rx(2.4333) 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": []} |
07dc38d1dc363182151755eeee21e61e | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, ... | {"states": [128, 127], "expectation_value": -0.011374674434197818, "params": [[0.0078000000000000005], [-0.0088]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.003929093259834254, 0.0039301709304109525], "optimization_time": 2.181220769882202} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 1.75 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.25 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0039) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0039) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0078) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(-0.0078) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
da3c81488557dc57e6e1f0bd43d65336 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [18, 22], "expectation_value": -2.0336737888516327, "params": [0.0161, 0.020300000000000002, 0.2419, 0.2374, 0.0393, 0.040400000000000005, 0.24430000000000002, 0.24910000000000002, 0.2546, 0.25680000000000003, 0.0212, 0.0189, 0.024300000000000002, 0.0154, 0.24180000000000001, 0.23820000000000002, 0.037700000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 14 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["101001", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0161) q[0];
ry(0.2419) q[1];
ry(0.0393) q[2];
ry(0.2443) q[3];
ry(0.2546) q[4];
ry(0.0212) q[5];
crx(0.0097) q[5], q[0];
crx(-0.0588) q[4], q[5];
crx(0.1493) q[3], q[4];
crx(0.2287) q[2], q[3];
crx(0.166) q[1], q[2];
crx(-0.1454) q[0], q[1];
ry(0.0203) 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": []} |
bb51b85a8f0cca1e878093cb2d4e9f25 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [18, 3], "expectation_value": -3.6174410942327064, "params": [[-0.0211, -0.0611], [0.0115, 0.059300000000000005]], "bitstrings": ["101101", "111100"], "total_optimization_steps": 10, "probabilities": [0.021942573309442475, 0.02275527482282985], "optimization_time": 3.8691461086273193} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 ... | 16 | 6 | 2 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.095) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.095) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.095) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.095) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.095... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h ... | {"k": 4} | {"circuits": [], "gradients": []} |
bbbf3a13922d646e52957d79d5b27fb0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 8}, {"weight": 10, "source": 2, "target": 3}, {"weight":... | {"states": [347, 346], "expectation_value": -79.11964282638831, "params": [1.1899, 0.029500000000000002, -0.6061000000000001, 0.0008, 1.203, 0.044500000000000005, 1.2014, 0.0025, 1.1808, -0.009600000000000001, -0.0792, 0.0043, 1.1986, 0.049, 1.2019, 0.0061, 0.8512000000000001, -0.1273, 0.37010000000000004, 0.0022, 1.19... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(9) @ Z(1)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(5)) + 5.5 * (Z(9) @ Z(8)) + 11.5 * Z(1) + -4.0 * Z(0) + 6.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-94.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["1010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1899) q[0];
rz(0.0295) q[0];
rx(1.203) q[1];
rz(0.0445) q[1];
rx(1.1808) q[2];
rz(-0.0096) q[2];
rx(1.1986) q[3];
rz(0.049) q[3];
rx(0.8512) q[4];
rz(-0.1273) q[4];
rx(1.1944) q[5];
rz(0.0456) q[5];
rx(1.2018) q[6];
rz(0.0549) q[6];
rx(1.1913) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
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