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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c31960310eb284d493a369e45529e3bd | 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": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -23.00058083510737, "params": [[0.0219, 0.0178, -0.002], [-0.046900000000000004, -0.0649, -0.038900000000000004]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006878792325135591, 0.007862821956556378], "optimization_time": 6.7... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1971) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1971) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1971) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1971) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
57e4a42254a59ee532f799c4c74dbbc5 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [65, 33], "expectation_value": -13.814109408373914, "params": null, "bitstrings": ["10111110", "11011110"], "total_optimization_steps": 29, "probabilities": [0.30275900946009937, 0.49999904538896256], "optimization_time": 29.631307125091553} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-1.57) q[1];
ry(1.5708) q[7];
ry(-1.5709) q[0];
ry(-1.5708) q[3];
ry(-1.57) q[4];
ry(-1.5706) q[6];
cry(-1.5708) q[7], q[5];
cry(1.7826) q[7], q[1];
cry(-1.7862) q[2], q[1];
cry(-0.0007) q[7], ... | 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(-1.57) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 11], "expectation_value": -11.818500652488627, "params": [-0.0015, 0.7847000000000001, 0.004, -0.8569, 0.002, 0.8979, -0.5953, 0.0034000000000000002, 0.0024000000000000002, 0.8971, 1.0566, 0.2253, 1.0492000000000001, -0.0033, -0.0034000000000000002, 0.7272000000000001, 0.002, -0.8042, 0.0038, 0.896, -0.5... | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 3 | 7 | 3 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0015) q[0];
rz(0.7847) q[0];
rx(0.004) q[1];
rz(-0.8569) q[1];
rx(0.002) q[2];
rz(0.8979) q[2];
rx(-0.5953) q[3];
rz(0.0034) q[3];
rx(0.0024) q[4];
rz(0.8971) q[4];
rx(1.0566) q[5];
rz(0.2253) q[5];
rx(1.0492) q[6];
rz(-0.0033) q[6];
crz(0.0038) 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": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 14], "expectation_value": -0.1162325733522812, "params": [[0.0723], [-0.0716]], "bitstrings": ["01110", "10001"], "total_optimization_steps": 10, "probabilities": [0.034827277055461396, 0.035422082734721416], "optimization_time": 1.1226778030395508} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0723) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0723) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0723) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0723) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.0723) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[1], q[... | null | {"circuits": [], "gradients": []} |
5670b6e8d896bf594f11101ec7552fed | 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": [175, 174], "expectation_value": -81.05137998861562, "params": [0.0176, 0.0106, 0.4984, 0.49810000000000004, 0.0951, 0.09330000000000001, 0.4884, 0.49110000000000004, 0.1129, 0.0984, 0.4889, 0.48660000000000003, 0.48550000000000004, 0.47940000000000005, 0.4877, 0.4778, 0.23070000000000002, 0.229, 0.004, -0.0... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + 8.5 * Z(1) + -5.0 * Z(0) + 1.0 * Z(2) + -4.0 * Z(4) + 9.0 * Z(3) + 22.5 * Z(5)... | 14 | 9 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.0, "smallest_bitstrings": ["101010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0176) q[0];
ry(0.4984) q[1];
ry(0.0951) q[2];
ry(0.4884) q[3];
ry(0.1129) q[4];
ry(0.4889) q[5];
ry(0.4855) q[6];
ry(0.4877) q[7];
ry(0.2307) q[8];
crx(-0.088) q[8], q[0];
crx(-0.269) q[7], q[8];
crx(0.0894) q[6], q[7];
crx(0.1169) q[5], q[6];
crx(0.4217)... | 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] x11;
input float[64] x12;
inp... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
15323fff8a86688a67a3412302b595a8 | 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": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [6368, 7392], "expectation_value": -9.792368978635256, "params": [0.0038, 0.4012, 0.0018000000000000002, 0.4511, 0.6008, -0.0019, 0.6041000000000001, 0.0057, 0.6005, 0.0079, 0.0024000000000000002, 0.391, 0.0061, 0.09380000000000001, 0.5965, -0.0026000000000000003, 0.6082000000000001, 0.0059, 0.6004, -0.00170... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 18 | 15 | 3 | {"smallest_eigenvalues": [-17.799999999999933], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999783, "smallest_bitstrings": ["110001100011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.0038) q[0];
rz(0.4012) q[0];
rx(0.0018) q[1];
rz(0.4511) q[1];
rx(0.6008) q[2];
rz(-0.0019) q[2];
rx(0.6041) q[3];
rz(0.0057) q[3];
rx(0.6005) q[4];
rz(0.0079) q[4];
rx(0.0024) q[5];
rz(0.391) q[5];
rx(0.0061) q[6];
rz(0.0938) q[6];
rx(0.5965) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-7829104166610840793 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 7, 8], [8, 2, 3, 7], [8, 2, 5, 7], [0, 3, 5, 6, 7], [1, 2, 3, 5, 7], [0, 1, 5, 7], [0, 1, 2, 4, 6], [1, 2, 5, 6, 7]]} | {"states": [454, 455], "expectation_value": -1.683784266236894, "params": null, "bitstrings": ["000111001", "000111000"], "total_optimization_steps": 53, "probabilities": [0.0720409679872147, 0.7201816124765476], "optimization_time": 117.55569458007812} | 0.18333333333333335 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(1)) + 0.18333333333333335 * (Z(7) @ Z(0)) + 0.23333333333333334 * (Z(7) @ Z(3)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(8) @ Z(0)) + 0.13333333333333333 * (Z(8) @ Z(3)) + 0.21666666666666667 * (Z(8) @ Z(7)) + 0.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.75, "smallest_bitstrings": ["000111000", "000010110", "000010010", "010000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5524) q[7];
ry(1.1409) q[1];
ry(0.6838) q[2];
cry(0.4485) q[7], q[2];
cry(-0.5551) q[0], q[5];
cry(-0.3953) q[2], q[5];
cry(0.3229) q[7], q[1];
ry(0.4305) q[0];
cry(-0.3958) q[1], q[5... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5524) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
c481e42d7da0b37a314b8b7c8726899d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [95, 91], "expectation_value": -56.0087554920823, "params": [-0.002, 0.0045000000000000005, 2.9010000000000002, 0.009000000000000001, 1.2665, 0.0022, 2.9013, 0.0026000000000000003, 2.8882000000000003, 0.0076, 1.5630000000000002, 0.0038, 2.8944, 0.0083, 2.895, 0.008700000000000001, 0.0027, 0.008, 0.0019, 0.00... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(2)) + 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(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + -3.5 * Z(0) + 7.0 * Z(2) + 9.5 * Z(3) + 21... | 18 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["10100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.002) q[0];
rz(0.0045) q[0];
rx(2.901) q[1];
rz(0.009) q[1];
rx(1.2665) q[2];
rz(0.0022) q[2];
rx(2.9013) q[3];
rz(0.0026) q[3];
rx(2.8882) q[4];
rz(0.0076) q[4];
rx(1.563) q[5];
rz(0.0038) q[5];
rx(2.8944) q[6];
rz(0.0083) q[6];
rx(2.895) q[7];
rz(0.0087... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
6743507577099325746 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[4, 5], [0, 2], [2, 3], [2, 5], [1, 5], [0, 3], [3, 4], [2, 4]]} | {"states": [29, 13], "expectation_value": -0.0321901301622355, "params": [[[1.419, 0.0078000000000000005], [1.5069000000000001, 0.0041], [1.6708, 0.00030000000000000003], [1.7346000000000001, 0.0037], [1.4428, 0.0005], [1.6509, 0.0002]]], "bitstrings": ["100010", "110010"], "total_optimization_steps": 180, "probabiliti... | 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111010", "110010", "100101", "100011", "001101", "000101", "011010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.419) q[0];
rz(0.0078) q[0];
rx(1.5069) q[1];
rz(0.0041) q[1];
rx(1.6708) q[2];
rz(0.0003) q[2];
rx(1.7346) q[3];
rz(0.0037) q[3];
rx(1.4428) q[4];
rz(0.0005) q[4];
rx(1.6509) q[5];
rz(0.0002) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure ... | OPENQASM 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;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
d73d59d8534bb2db64056b6b376ab049 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, ... | {"states": [254, 127], "expectation_value": -6.50001762639397, "params": [[[-1.6094000000000002, -1.6057000000000001], [-0.0023, -1.5646], [-0.0018000000000000002, -0.0023], [-0.0034000000000000002, 0.0025], [-0.002, 0.0025], [-0.0024000000000000002, -0.0021000000000000003], [3.1435, -0.0025], [0.002, 0.002400000000000... | -0.5 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(2)) + 1.0 * (Z(7) @ Z... | 15 | 8 | 1 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-1.6094) q[0];
ry(-0.0023) q[1];
ry(-0.0018) q[2];
ry(-0.0034) q[3];
ry(-0.002) q[4];
ry(-0.0024) q[5];
ry(3.1435) q[6];
ry(0.002) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
... | OPENQASM 3.0;
include "stdgates.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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
5e1f1e75ba04327de43b1491321a7511 | 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": 3, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 0, ... | {"states": [129, 1], "expectation_value": -11.430586736234044, "params": null, "bitstrings": ["01111110", "11111110"], "total_optimization_steps": 29, "probabilities": [0.34605958487624006, 0.38668553381417664], "optimization_time": 26.318050861358643} | -0.75 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -1.75 * (Z(5) @ Z(3)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5577) q[0];
ry(-1.5708) q[3];
ry(-1.5708) q[2];
ry(-1.5709) q[5];
ry(-1.5708) q[4];
cry(1.4449) q[1], q[6];
ry(-0.7083) q[6];
ry(-0.4951) q[1];
cry(-0.6921) q[7], q[6];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
8549796108995144008 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 6, 7, 8, 9], [10, 5], [1, 10], [8, 0, 3], [2, 5], [0, 4]]} | {"states": [1627, 1563], "expectation_value": -1.589241870387045, "params": [1.3015, 1.2986, 1.2905, 1.2917, 0.2482, 0.2508, 0.2898, 0.2531, 0.6636000000000001, 0.8644000000000001, 0.42060000000000003, 0.3095, 1.2848000000000002, 1.2833, 1.2866, 1.0405, 0.8246, 0.7568, 1.2941, 1.2917, 1.0797, 0.7477, 1.2832000000000001... | 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(8) @ Z(7)) + 0.05 * (Z(8) @ Z(1)) + 0.05 * (Z(9) @ Z(7)) + 0.05 * (Z(9) @ Z(1)) + 0.05 * (Z(9) @ Z(8)) + 0.05 * (Z(10) @ Z(7)) + 0.05 * (Z(10) @ Z(1)) + 0.05 * (Z(10) @ Z(8)) + 0.05 * (Z(10) @ Z(9)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(9)) + 0.16... | 14 | 11 | 1 | {"smallest_eigenvalues": [-2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.533333333333333, -2.53333333333... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3015) q[0];
ry(1.2905) q[1];
ry(0.2482) q[2];
ry(0.2898) q[3];
ry(0.6636) q[4];
ry(0.4206) q[5];
ry(1.2848) q[6];
ry(1.2866) q[7];
ry(0.8246) q[8];
ry(1.2941) q[9];
ry(1.0797) q[10];
crx(1.2832) q[10], q[0];
crx(1.2718) q[9], q[10];
crx(0.3862) 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": []} |
bdf4ac9aea3c01fe4a0763ed16a2cb41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 5}, {... | {"states": [179, 121], "expectation_value": -23.337796940052314, "params": [[-0.0391, -0.0106, -0.0114, -0.0134], [0.07440000000000001, 0.0497, 0.0449, 0.0451]], "bitstrings": ["01001100", "10000110"], "total_optimization_steps": 10, "probabilities": [0.018547317063883243, 0.02384412038433669], "optimization_time": 10.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 10.5 * Z(0) + 13.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000110"]} | 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(-0.3128) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3128) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3128) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3128) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5a8eac0760a558d4174437be478ec0aa | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}]} | {"states": [5, 21], "expectation_value": -2.0719430976342794, "params": null, "bitstrings": ["11010", "01010"], "total_optimization_steps": 28, "probabilities": [0.13262953595047108, 0.6775037254469125], "optimization_time": 22.518687963485718} | 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 | 1 | {"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];
ry(-1.4449) q[0];
cry(-1.0398) q[2], q[3];
cry(-1.0398) q[4], q[1];
ry(0.7022) q[4];
ry(0.7022) q[2];
ry(-0.4578) q[3];
ry(-0.4578) q[1];
cry(0.4586) q[4], q[2];
cry(0.4522) q[2], q[4];
cry(-0.351) q[2], q[1];
cry(-0.344... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.4449) 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]... |
15323fff8a86688a67a3412302b595a8 | 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": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [7264, 7392], "expectation_value": -7.498126083171869, "params": [0.0032, 0.0013000000000000002, 0.0057, 0.0007, 0.2028, 0.2043, 0.2, 0.1976, 0.2051, 0.1988, -0.0044, -0.007500000000000001, 0.1879, 0.1956, 0.20750000000000002, 0.2074, 0.20620000000000002, 0.2049, 0.1998, 0.19720000000000001, 0.0011, -0.0007,... | -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(11) @ Z(4)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(10)) + -0.5 * (Z(5) @ Z(11)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(8)) + 2.0 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + -0.5 * (Z(0) @ Z(10)... | 14 | 15 | 4 | {"smallest_eigenvalues": [-17.799999999999823], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.999999999999844, "smallest_bitstrings": ["110001100011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0032) q[0];
ry(0.0057) q[1];
ry(0.2028) q[2];
ry(0.2) q[3];
ry(0.2051) q[4];
ry(-0.0044) q[5];
ry(0.1879) q[6];
ry(0.2075) q[7];
ry(0.2062) q[8];
ry(0.1998) q[9];
ry(0.0011) q[10];
ry(0.002) q[11];
ry(0.0058) q[12];
ry(0.0058) q[13];
ry(0.0002) q[14];
c... | 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": []} |
dab40a2f654e93a72357d226e03c7017 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [17, 48], "expectation_value": -3.9741052551015095, "params": null, "bitstrings": ["101110", "001111"], "total_optimization_steps": 15, "probabilities": [0.07397911536985187, 0.9005728489954137], "optimization_time": 9.133339166641235} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -1.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["001111", "101110", "101101", "011011", "110110"]} | 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[4];
ry(-1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[5];
ry(0.7022) q[0];
ry(-0.4578) q[5];
cry(0.4969) q[1], q[0];
cry(-0.3761) q[1], q[5];
cry(-0.1216) q[1], q[3];
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[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... |
6ddf684edf2e62eb9b719095ef1378fa | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target": 6}]} | {"states": [60, 63], "expectation_value": -6.4824750578273465, "params": null, "bitstrings": ["000011", "000000"], "total_optimization_steps": 62, "probabilities": [0.16263196856582385, 0.6228786921673074], "optimization_time": 41.57820749282837} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -1.0 * Z(5) + 1.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["000011", "000000"]} | 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(1.5706) q[3], q[0];
ry(1.056) q[3];
cry(1.5707) q[3], q[1];
cry(1.5706) q[5], q[4];
cry(1.5701) q[0], q[2];
ry(0.3717) q[0];
cry(0.2247) q[1], q[3];
ry(0.4382) q[5];
ry(0.1649) q[4];
cry(0.7626) q[4], q[5];
c... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5706) q[3], 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 \... |
4d1240ef072f6b149c3e83e07e8a9609 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -1.497330348739788, "params": [[-0.0671], [0.065]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006161238188565794, 0.006291692520676459], "optimization_time": 2.3069803714752197} | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.1342) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1678) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0336) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1007) q[3];
cx q[0], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-7364927243013511270 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 5, 6], [1, 2, 3, 7, 9], [3, 6], [0, 9, 2, 5], [8, 0, 7], [8, 1, 4], [8, 9, 5], [9, 3, 5], [2, 5, 6, 7, 8], [0, 9, 8], [0, 1, 2, 7, 9], [8, 9, 1], [1, 4, 7], [8, 9, 2, 4], [1, 5, 7], [1, 3, 5], [0, 1, 2, 5, 8], [2, 3, 5, 7]]} | {"states": [1015, 1010], "expectation_value": -1.9509589503162843, "params": [0.902, -0.0044, 0.8931, 0.0015, 0.9043, -0.0034000000000000002, 0.9033, 0.0014, 0.9043, -0.0055000000000000005, 0.895, 0.0002, 0.9047000000000001, -0.0031000000000000003, 0.902, 0.008, 0.8984000000000001, -0.0073, 0.8966000000000001, 0.006, 0... | 0.55 * (Z(1) @ Z(5)) + 0.21666666666666667 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.26666666666666666 * (Z(2) @ Z(5)) + 0.15000000000000002 * (Z(2) @ Z(1)) + 0.05 * (Z(2) @ Z(6)) + 0.41666666666666663 * (Z(3) @ Z(5)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.13333333333333333 * (Z... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.516666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.4333333333333345, "smallest_bitstrings": ["0000001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.902) q[0];
rz(-0.0044) q[0];
rx(0.9043) q[1];
rz(-0.0034) q[1];
rx(0.9043) q[2];
rz(-0.0055) q[2];
rx(0.9047) q[3];
rz(-0.0031) q[3];
rx(0.8984) q[4];
rz(-0.0073) q[4];
rx(0.9016) q[5];
rz(-0.006) q[5];
rx(0.8979) q[6];
rz(-0.0037) q[6];
rx(0.9058) 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": []} |
c5d2a0621e9dcecb65eadc5509d4551e | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [1916, 4092], "expectation_value": -13.922071831424045, "params": null, "bitstrings": ["1100010000011", "1000000000011"], "total_optimization_steps": 100, "probabilities": [0.1789092677225211, 0.6993291558722774], "optimization_time": 392.04474568367004} | -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(7)) + -0.5... | 1 | 13 | 3 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100001000101", "1000100100001", "1100101010001", "1100101100001", "1000000000101", "1100010000101", "1000000000011... | 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(-1.5577) q[12];
ry(1.5708) q[8];
ry(1.5708) q[9];
ry(1.5681) q[7];
ry(1.5681) q[2];
cry(1.5486) q[1], q[5];
cry(1.0861) q[6], q[1];
cry(-1.4448) q[2... | null | {"source": 0, "sink": 6} | {"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(-1.5577) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = me... |
297160321633240663 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 1], [0, 4, 5, 8, 9, 10], [3, 7], [1, 10, 5], [0, 2, 4], [9, 2, 10, 5], [2, 3, 6, 8, 9, 10], [9, 5, 6], [0, 6, 7, 9, 10]]} | {"states": [1267, 1251], "expectation_value": -2.307009498020881, "params": [1.3921000000000001, 0.30960000000000004, 1.3989, 0.0047, 0.18660000000000002, -0.6272, 0.1587, -0.6025, 0.5061, -0.4893, 0.5107, 0.0083, 1.0133, -0.041, 1.0927, 0.008700000000000001, 1.3966, -0.0079, 1.3895, 0.008, 1.3940000000000001, -0.01380... | 0.5 * (Z(9) @ Z(1)) + 0.08333333333333334 * (Z(0) @ Z(9)) + 0.03333333333333333 * (Z(4) @ Z(9)) + 0.19999999999999998 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.2833333333333333 * (Z(5) @ Z(9)) + 0.03333333333333333 * (Z(5) @ Z(0)) + 0.03333333333333333 * (Z(5) @ Z(4)) + 0.06666666666666667 * (Z(8) @ Z(9... | 8 | 11 | 1 | {"smallest_eigenvalues": [-2.716666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.6499999999999995, "smallest_bitstrings": ["01100011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.3921) q[0];
rz(0.3096) q[0];
rx(0.1866) q[1];
rz(-0.6272) q[1];
rx(0.5061) q[2];
rz(-0.4893) q[2];
rx(1.0133) q[3];
rz(-0.041) q[3];
rx(1.3966) q[4];
rz(-0.0079) q[4];
rx(1.394) q[5];
rz(-0.0138) q[5];
rx(0.763) q[6];
rz(-0.4561) q[6];
rx(0.1951) 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": []} |
-6508177323496590703 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 7], [3, 6], [0, 3], [0, 4], [1, 4], [0, 7], [1, 5], [5, 6], [5, 7], [0, 2], [3, 4], [2, 4], [1, 3], [6, 7]]} | {"states": [0, 29], "expectation_value": 0.7135977371578408, "params": [0.6073000000000001, -0.0016, 0.6037, 0.0051, 0.5989, -0.0012000000000000001, 0.5939, 0.0011, 0.5967, -0.0031000000000000003, 0.5981000000000001, 0.0064, 0.6055, 0.003, 0.6038, 0.006500000000000001, 0.6096, -0.0034000000000000002, 0.6052000000000001... | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.0 * Z(7) +... | 6 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["00011101", "11100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6073) q[0];
rz(-0.0016) q[0];
rx(0.5989) q[1];
rz(-0.0012) q[1];
rx(0.5967) q[2];
rz(-0.0031) q[2];
rx(0.6055) q[3];
rz(0.003) q[3];
rx(0.6096) q[4];
rz(-0.0034) q[4];
rx(0.6105) q[5];
rz(0.0009) q[5];
rx(0.6004) q[6];
rz(0.0042) q[6];
rx(0.6044) 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": []} |
4956b44a15796d9b5317bf40a3232de2 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [3, 63], "expectation_value": -18.438384411460568, "params": [-0.0026000000000000003, -0.0026000000000000003, -0.0027, -0.0026000000000000003, -0.0027, -0.0024000000000000002, 0.9440000000000001, 0.8292, -0.0021000000000000003, -0.0024000000000000002, -0.0037, 0.0022, -0.17470000000000002, 0.0256, 1.5302, -1... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) ... | 14 | 9 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0026) q[0];
ry(-0.0027) q[1];
ry(-0.0027) q[2];
ry(0.944) q[3];
ry(-0.0021) q[4];
ry(-0.0037) q[5];
ry(-0.1747) q[6];
ry(1.5302) q[7];
ry(1.5684) q[8];
crx(-0.002) q[8], q[0];
crx(1.6684) q[7], q[8];
crx(2.8813) q[6], q[7];
crx(2.6798) q[5], q[6];
crx(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[... | {"node": 2} | {"circuits": [], "gradients": []} |
31bcee1b066a63f64c6901bb1e1b69cb | 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": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -2.9963973272214712, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 25, "probabilities": [0.06635225969610153, 0.9303258560517219], "optimization_time": 16.51389169692993} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["100011", "101010", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-1.0342) q[2], q[5];
ry(0.7003) q[2];
cry(-0.1259) q[3], q[0];
ry(-0.4549) q[5];
cry(0.4962) q[1], q[2];
cry(-0.3788) q[1], q[5];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) 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 \"stdga... |
eabc5a01649d5bc499596bd844e547e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "so... | {"states": [16516, 49284], "expectation_value": -18.94380369431837, "params": [[0.3723, 1.2864, 0.0023, 0.001, 0.0002, 0.0034000000000000002, 0.0015, -0.0286, 1.2704, -0.002, 0.0037, 0.0021000000000000003, 0.595, 1.0762, 0.6117, 0.0025], [-0.1448, 0.5755, 0.0021000000000000003, 0.0051, 0.0005, 0.0016, 0.0033, 0.1786, 1... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(1) @ Z(7)) + 0.8888888888888888 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(12) @ Z(7)) + -1.0 * (Z(1... | 10 | 16 | 2 | {"smallest_eigenvalues": [-19.33333333333302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.333333333332853, "smallest_bitstrings": ["0011111101111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.3723) q[0];
ry(1.2864) q[1];
ry(0.0023) q[2];
ry(0.001) q[3];
ry(0.0002) q[4];
ry(0.0034) q[5];
ry(0.0015) q[6];
ry(-0.0286) q[7];
ry(1.2704) q[8];
ry(-0.002) q[9];
ry(0.0037) q[10];
ry(0.0021) q[11];
ry(0.595) q[12];
ry(1.0762) q[13];
ry(0.6117) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
b71e19e9218fad76a8b04d982d3356d2 | 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": [1295, 1291], "expectation_value": -95.82714322074973, "params": [2.6032, 0.0048000000000000004, 0.6245, 0.0055000000000000005, 2.6073, 0.0073, -0.020300000000000002, 0.0077, 0.864, 0.009000000000000001, 0.003, 0.0033, 0.0029000000000000002, 0.0048000000000000004, 2.6100000000000003, 0.003, 1.5422, 0.0033, 2... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(7)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(5) @ Z(10)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 16.5 * Z(0) + 22.5 * Z(2) + 0.5... | 18 | 11 | 1 | {"smallest_eigenvalues": [-124.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["01011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.6032) q[0];
rz(0.0048) q[0];
rx(0.6245) q[1];
rz(0.0055) q[1];
rx(2.6073) q[2];
rz(0.0073) q[2];
rx(-0.0203) q[3];
rz(0.0077) q[3];
rx(0.864) q[4];
rz(0.009) q[4];
rx(0.003) q[5];
rz(0.0033) q[5];
rx(0.0029) q[6];
rz(0.0048) q[6];
rx(2.61) 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": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
9aa303e7d0a45a611af55345357cd7a0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [246, 118], "expectation_value": -49.38616252039666, "params": [0.5632, 0.34890000000000004, 0.9819, 0.2731, 0.7955, 0.2255, 0.9984000000000001, -0.1477, 0.3577, -0.3699, 0.996, -0.002, 0.9988, 0.1942, 0.31570000000000004, 0.4043, 0.5608000000000001, 0.34190000000000004, 0.9749000000000001, 0.2928, 0.762, 0.... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 13.5 * Z(0) + 6.5 * Z(2) + 7.5 * Z(1) + 18.5 * Z(3) + 4.0 * Z(4) + 12.0 * Z(5)... | 18 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5632) q[0];
rz(0.3489) q[0];
rx(0.9819) q[1];
rz(0.2731) q[1];
rx(0.7955) q[2];
rz(0.2255) q[2];
rx(0.9984) q[3];
rz(-0.1477) q[3];
rx(0.3577) q[4];
rz(-0.3699) q[4];
rx(0.996) q[5];
rz(-0.002) q[5];
rx(0.9988) q[6];
rz(0.1942) q[6];
rx(0.3157) 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], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
19a170966b6554e06b86de8b065b1bdc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -18.991028540406543, "params": [[[0.0006000000000000001, 1.6009], [0.002, 0.0034000000000000002], [0.0025, 0.0019], [0.0025, 0.0024000000000000002], [-0.0047, -0.0057], [0.0041, 0.5553], [0.0022, 0.0024000000000000002], [0.0017000000000000001, 0.0018000000000000002], [0.002400... | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -2.0... | 15 | 12 | 1 | {"smallest_eigenvalues": [-24.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0006) q[0];
ry(0.002) q[1];
ry(0.0025) q[2];
ry(0.0025) q[3];
ry(-0.0047) q[4];
ry(0.0041) q[5];
ry(0.0022) q[6];
ry(0.0017) q[7];
ry(0.0024) q[8];
ry(0.0023) q[9];
ry(-0.0036) q[10];
ry(0.0026) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"node": 6} | {"circuits": [], "gradients": []} |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 46.96062135696411} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(1.5708) q[6];
ry(-1.57) q[0];
cry(-1.5708) q[6], q[2];
cry(1.5486) q[6], q[1];
cry(1.0342) q[3], q[4];
cry(1.0518) q[4], q[3];
cry(0.2248) q[6], q[4];
cry(0.1574) q[1], q[3];
ry(0.146... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [12, 40], "expectation_value": -0.33595150977323474, "params": [[-0.051800000000000006, -0.046900000000000004], [0.0648, 0.0618]], "bitstrings": ["110011", "010111"], "total_optimization_steps": 10, "probabilities": [0.018080194902601526, 0.018080194902601536], "optimization_time": 2.422168254852295} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.0, "smallest_bitstrings": ["011110", "111100", "111010", "010111", "110101", "101110", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0518) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0518) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0518) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0518) 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] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
5011041588241054098 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5], [0, 3, 5, 6], [2, 3, 6, 7], [0, 2, 5, 7], [1, 3, 7], [1, 3, 5]]} | {"states": [189, 157], "expectation_value": -1.070421517229242, "params": [1.1024, -0.12610000000000002, 1.0225, 0.0061, 0.8103, -0.1988, 0.6795, 0.0082, 1.0963, 0.021400000000000002, 1.05, 0.0004, 1.1041, 0.10110000000000001, 1.0996000000000001, 0.0098, 1.0952, -0.10840000000000001, 1.0619, 0.0077, 1.0971, 0.11, 1.092... | 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.083333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["11100000", "01100010", "00110000", "10011000", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.1024) q[0];
rz(-0.1261) q[0];
rx(0.8103) q[1];
rz(-0.1988) q[1];
rx(1.0963) q[2];
rz(0.0214) q[2];
rx(1.1041) q[3];
rz(0.1011) q[3];
rx(1.0952) q[4];
rz(-0.1084) q[4];
rx(1.0971) q[5];
rz(0.11) q[5];
rx(1.0959) q[6];
rz(-0.1064) q[6];
rx(1.1017) 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": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [63, 33], "expectation_value": -0.5223173661745399, "params": [[0.0616], [-0.0629]], "bitstrings": ["1000000", "1011110"], "total_optimization_steps": 10, "probabilities": [0.009718952830050472, 0.010253020749831893], "optimization_time": 1.6781988143920898} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0924) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0308) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0616) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(-0.0308) q[6];
cx q[2], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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 ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3fb3735639c46bff7d77a855f00e5a0c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 2, "target": 1... | {"states": [1, 5], "expectation_value": -1.2357748416664742, "params": [[0.0337, 0.0614, 0.0753, 0.0579], [0.015000000000000001, -0.030600000000000002, -0.06330000000000001, -0.0511]], "bitstrings": ["1111110", "1111010"], "total_optimization_steps": 10, "probabilities": [0.018757214109429064, 0.01968966637430762], "op... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0337) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0505) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0337) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0.0337) q[1];
cx q[2], q[1];
cx q[5], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
52d445418826abb1edfe2507a27ebafb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [111, 110], "expectation_value": -50.90159320013493, "params": [0.187, 0.32780000000000004, 0.7891, -0.0129, 0.7954, 0.0548, 0.2596, 0.30760000000000004, 0.7913, -0.009000000000000001, 0.7927000000000001, 0.003, 0.7867000000000001, 0.031400000000000004, 0.36960000000000004, 0.22340000000000002, 0.1908, 0.325... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.187) q[0];
rz(0.3278) q[0];
rx(0.7891) q[1];
rz(-0.0129) q[1];
rx(0.7954) q[2];
rz(0.0548) q[2];
rx(0.2596) q[3];
rz(0.3076) q[3];
rx(0.7913) q[4];
rz(-0.009) q[4];
rx(0.7927) q[5];
rz(0.003) q[5];
rx(0.7867) q[6];
rz(0.0314) q[6];
rx(0.3696) q[7];
rz(0.2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
0714803fc241e2360d666ed1e871e287 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": ... | {"states": [375, 383], "expectation_value": -11.265033930666313, "params": [0.0048000000000000004, 0.35810000000000003, -0.0021000000000000003, 0.2539, -0.3044, 0.3171, -0.9102, 1.7791000000000001, -0.0026000000000000003, 0.5659000000000001, 0.0034000000000000002, 0.6288, 1.3648, 0.8482000000000001, 1.2876, 0.2867, 1.4... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(1) + 0.5 * Z(9) | 6 | 10 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0048) q[0];
rz(0.3581) q[0];
rx(-0.3044) q[1];
rz(0.3171) q[1];
rx(-0.0026) q[2];
rz(0.5659) q[2];
rx(1.3648) q[3];
rz(0.8482) q[3];
rx(1.4528) q[4];
rz(0.0315) q[4];
rx(-0.5082) q[5];
rz(0.3281) q[5];
rx(-0.019) q[6];
rz(-0.208) q[6];
rx(1.189) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
4163248846765553226 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 5, 6, 9, 10, 11], [0, 1, 3, 5, 6, 8], [1, 2, 3], [0, 1, 3, 8, 11], [9, 3, 4], [1, 3, 7], [0, 9, 2, 5], [4, 7, 8, 10, 11], [0, 11, 5, 7], [0, 1, 3, 5, 9], [2, 3, 4, 5, 6, 7, 11], [1, 6, 8, 9, 10, 11], [1, 2, 4, 9, 10], [1, 2, 8, 9, 10, 11], [1, 4, 8... | {"states": [471, 983], "expectation_value": -5.394389754943528, "params": [0.19540000000000002, 0.1933, 0.2687, 0.28190000000000004, 0.8135, 0.7833, 1.5715000000000001, 1.5734000000000001, 1.5719, 1.5725, 1.5645, 1.5724, 0.1774, 0.1819, 1.5754000000000001, 1.5732000000000002, 0.1991, 0.20600000000000002, 1.564900000000... | 0.19047619047619047 * (Z(0) @ Z(5)) + 0.2642857142857143 * (Z(7) @ Z(5)) + 0.32380952380952377 * (Z(7) @ Z(0)) + 0.19761904761904758 * (Z(8) @ Z(5)) + 0.11428571428571427 * (Z(8) @ Z(0)) + 0.21428571428571425 * (Z(8) @ Z(7)) + 0.2738095238095238 * (Z(11) @ Z(5)) + 0.3809523809523809 * (Z(11) @ Z(0)) + 0.290476190476190... | 13 | 12 | 1 | {"smallest_eigenvalues": [-5.7142857142857135], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.307142857142856, "smallest_bitstrings": ["110000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.1954) q[0];
ry(0.2687) q[1];
ry(0.8135) q[2];
ry(1.5715) q[3];
ry(1.5719) q[4];
ry(1.5645) q[5];
ry(0.1774) q[6];
ry(1.5754) q[7];
ry(0.1991) q[8];
ry(1.5649) q[9];
ry(1.5717) q[10];
ry(1.5769) q[11];
crz(-0.0102) q[11], q[0];
crz(0.0007) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.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": []} |
238da0afcff22b3cc95b712a7ad70447 | 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": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [371, 237], "expectation_value": -0.0611200313142178, "params": [[0.011300000000000001, -0.021500000000000002, -0.0352, -0.036000000000000004], [-0.0392, -0.0054, 0.0327, 0.038900000000000004]], "bitstrings": ["010001100", "100010010"], "total_optimization_steps": 10, "probabilities": [0.002253186213211005, ... | 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(4... | 1 | 9 | 4 | {"smallest_eigenvalues": [-3.375, -3.375], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.375, "smallest_bitstrings": ["100010010", "010001100"]} | 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(0.0028) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0028) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0028) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0028) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
92c565ed8fed8ca60a141e6f389a7855 | 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": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 3}, {"weight": 10, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -22.05303785137488, "params": [[-0.0349, -0.0143, -0.0034000000000000002, 0.0596], [0.0668, 0.052000000000000005, 0.0427, -0.0073]], "bitstrings": ["100000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.00804620693103389, 0.009951556301960091], "optimi... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3141) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3141) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.3141) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(-0.3141) q[4];
cx q[3], 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": []} |
6073454407729675819 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [2, 3, 5], [0, 4, 6], [0, 1, 3, 4, 5], [0, 1, 5, 6], [2, 4, 5], [6, 7]]} | {"states": [249, 157], "expectation_value": -0.06502577034796864, "params": [[0.0747], [-0.0761]], "bitstrings": ["00000110", "01100010"], "total_optimization_steps": 10, "probabilities": [0.004260231143506458, 0.004260352361933881], "optimization_time": 2.5279390811920166} | 0.5 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.25 * (Z(0) @ Z(6)) + 0.05 * (Z(0) @ Z(3)) + 0.13333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.05 * (Z(4) @ Z(3)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666663, "smallest_bitstrings": ["01100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(0.0747) q[3];
cx q[6], q[3];
cx q[3], q[2];
rz(0.0249) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(0.0124) q[5];
cx q[6], q[5];
cx q[3], q[5];
rz(0.0324) q[5];
cx q[3], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
6360877596394732254 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2, 4, 6], [3, 5, 6], [0, 6]]} | {"states": [110, 126], "expectation_value": -0.4283393995434418, "params": [[0.47800000000000004], [-0.4368]], "bitstrings": ["0010001", "0000001"], "total_optimization_steps": 50, "probabilities": [0.017433402494529467, 0.018066899658685576], "optimization_time": 1.4642276763916016} | 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(6)) + 0.16666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333, -1.0833333333333333], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0000000000000002, "smallest_bitstrings": ["1001100", "1010010", "1101000", "101100... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(0.0797) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0797) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.0797) q[4];
cx q[1], q[4];
cx q[2], q[6];
rz(0.0797) q[6];
cx q[2], q[6];
cx q[1], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(x0)... | null | {"circuits": [], "gradients": []} |
94ff5da1dd74a3a8caf90d8223c34f4b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "targ... | {"states": [0, 16376], "expectation_value": -66.03000692929204, "params": [[[-0.0026000000000000003, 0.0022], [-0.0026000000000000003, 0.006900000000000001], [-0.0024000000000000002, 0.008400000000000001], [-0.0026000000000000003, 0.005], [-0.0024000000000000002, 0.0019], [-0.0024000000000000002, 0.0077], [-0.002600000... | -3.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -3.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(4)) + 1.0 * (Z(6) @ Z(2)) + -3.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(2)) + -4.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(5)) + 1.0 *... | 2 | 14 | 1 | {"smallest_eigenvalues": [-70.4999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.49999999999959, "smallest_bitstrings": ["00000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(-0.0026) q[0];
rz(0.0022) q[0];
rx(-0.0026) q[1];
rz(0.0069) q[1];
rx(-0.0024) q[2];
rz(0.0084) q[2];
rx(-0.0026) q[3];
rz(0.005) q[3];
rx(-0.0024) q[4];
rz(0.0019) q[4];
rx(-0.0024) q[5];
rz(0.0077) q[5];
rx(-0.0026) q[6];
rz(0.0011) q[6];
rx(-0.0024) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 9} | {"circuits": [], "gradients": []} |
47a87bdf07cc47063498596ffad620cd | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 6... | {"states": [0, 1], "expectation_value": -10.505991423124302, "params": [0.0039000000000000003, 0.1627, 0.0057, 0.19340000000000002, 0.007, 0.2388, 0.0048000000000000004, 0.2842, 0.0049, 0.2528, -0.0002, 0.2947, 0.40180000000000005, 0.0082, -0.004, 0.27640000000000003, 0.0008, 0.2848, -0.0011, 0.2958, 0.0009000000000000... | -1.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + 3.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(3)) + -1.25 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + 1.5 * Z(3) + 2.75 * Z(6) + -1.25 * Z(4) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0039) q[0];
rz(0.1627) q[0];
rx(0.0057) q[1];
rz(0.1934) q[1];
rx(0.007) q[2];
rz(0.2388) q[2];
rx(0.0048) q[3];
rz(0.2842) q[3];
rx(0.0049) q[4];
rz(0.2528) q[4];
rx(-0.0002) q[5];
rz(0.2947) q[5];
rx(0.4018) q[6];
rz(0.0082) q[6];
crz(0.0086) 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
861da3d4aba3be7dfc9c975e27f8a25d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 436], "expectation_value": -78.22812806183302, "params": [-0.003, 0.5331, 0.8976000000000001, -0.0079, 0.9012, 0.3174, 0.5581, 0.2878, 0.9013, -0.0054, 0.8966000000000001, 0.1948, 0.22820000000000001, 0.4116, 0.9011, 0.0061, -0.0021000000000000003, 0.5651, 0.4565, -0.1545, -0.0045000000000000005, 0.526... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(7) @ Z(1)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(5) @ Z(7)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(7)) + -3.0 * Z(0) + 14.5 * Z(1) + 14.0 * Z(4) + 9.5 * Z(3) + 8... | 18 | 10 | 3 | {"smallest_eigenvalues": [-99.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.003) q[0];
rz(0.5331) q[0];
rx(0.8976) q[1];
rz(-0.0079) q[1];
rx(0.9012) q[2];
rz(0.3174) q[2];
rx(0.5581) q[3];
rz(0.2878) q[3];
rx(0.9013) q[4];
rz(-0.0054) q[4];
rx(0.8966) q[5];
rz(0.1948) q[5];
rx(0.2282) q[6];
rz(0.4116) q[6];
rx(0.9011) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
8e4b273e62e3bdbcb042f56fe9c0bd31 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [44, 42], "expectation_value": -3.249898543594036, "params": null, "bitstrings": ["010011", "010101"], "total_optimization_steps": 27, "probabilities": [1.7118399797761745e-05, 0.9999492882952955], "optimization_time": 18.66448974609375} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[1];
ry(-1.4449) q[3];
ry(-1.4449) q[5];
ry(1.4416) q[2];
ry(1.4416) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[4], q[5];
cry(-0.1259) q[4], q[3];
cry(0.1243) q[2], q[4];
cry(0.1219) q[4], q[0];
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(-1.5486) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-8029992874249485146 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[4, 6], [8, 0], [5, 7], [2, 5], [2, 4], [3, 7], [9, 4], [0, 4], [0, 9], [1, 7], [4, 5], [8, 9], [8, 4], [0, 7], [2, 3], [8, 7], [9, 1], [8, 3], [4, 7], [2, 7], [0, 2], [8, 1], [9, 6], [1, 5], [1, 4], [0, 1], [8, 5], [6, 7], [8, 6]]} | {"states": [167, 135], "expectation_value": -0.027829017460668397, "params": [0.6997, 0.0032, 0.6951, 0.0067, 0.7030000000000001, 0.0028, 0.6990000000000001, 0.004, 0.7081000000000001, 0.0019, 0.7055, 0.0017000000000000001, 0.6916, 0.004200000000000001, 0.6218, 0.0011, 0.6987, 0.0027, 0.7029000000000001, 0.009300000000... | 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.5, "smallest_bitstrings": ["1101111000", "1101011000", "0010100111", "0110000111", "0010000111", "1001111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6997) q[0];
rz(0.0032) q[0];
rx(0.703) q[1];
rz(0.0028) q[1];
rx(0.7081) q[2];
rz(0.0019) q[2];
rx(0.6916) q[3];
rz(0.0042) q[3];
rx(0.6987) q[4];
rz(0.0027) q[4];
rx(0.7002) q[5];
rz(0.0033) q[5];
rx(0.6946) q[6];
rz(0.0032) q[6];
rx(0.7061) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
45180654095446468 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 8], [1, 4, 7, 8, 9, 10], [1, 3, 4, 5, 8, 9, 10], [1, 2, 3, 5, 6, 7, 8, 9, 10], [0, 3, 4, 6, 9], [0, 3, 5, 6, 7], [2, 4, 5, 6, 8], [0, 1, 4, 5], [0, 1, 2, 5, 7, 9], [0, 2, 3, 4, 5, 9], [2, 3, 4, 6, 8], [1, 3, 4, 5, 7, 8, 10], [2, 3, 4, 8, 9, 10], [1, 2, 3,... | {"states": [254, 766], "expectation_value": -3.323832750682741, "params": [0.003, -0.7063, 1.6068, -0.9189, 0.0048000000000000004, 1.0575, 2.194, 0.0024000000000000002, 2.2561, -0.0025, 2.4067000000000003, 0.0025, 2.5961000000000003, -0.0025, 2.8400000000000003, 0.0022, 2.9358, -0.0037, 2.9929, 0.0011, -0.0026000000000... | 0.5 * (Z(0) @ Z(8)) + 0.09484126984126984 * (Z(1) @ Z(8)) + 0.15 * (Z(1) @ Z(0)) + 0.21428571428571427 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.1976190476190476 * (Z(4) @ Z(1)) + 0.07103174603174603 * (Z(7) @ Z(8)) + 0.08333333333333334 * (Z(7) @ Z(0)) + 0.10436507936507936 * (Z(7) @ Z(1)) + 0.05714285... | 4 | 11 | 1 | {"smallest_eigenvalues": [-3.3857142857142852], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3666666666666654, "smallest_bitstrings": ["10100000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.003) q[0];
rz(-0.7063) q[0];
rx(1.6068) q[1];
rz(-0.9189) q[1];
rx(0.0048) q[2];
rz(1.0575) q[2];
rx(2.194) q[3];
rz(0.0024) q[3];
rx(2.2561) q[4];
rz(-0.0025) q[4];
rx(2.4067) q[5];
rz(0.0025) q[5];
rx(2.5961) q[6];
rz(-0.0025) q[6];
rx(2.84) 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": []} |
6186788885164124660 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 3, 7, 8, 9], [8, 3, 5], [1, 2, 3, 7, 8, 10], [8, 11, 2, 3], [0, 1, 2, 3, 6, 11], [0, 1, 10, 5], [0, 10, 4, 5], [1, 4, 7, 9, 11], [0, 1, 2, 3, 10], [0, 1, 2, 4, 9], [0, 10, 2, 5], [0, 2, 5, 8, 9, 11], [0, 11, 7], [10, 4, 6, 7], [0, 6, 7], [9, 3, 6],... | {"states": [3818, 3946], "expectation_value": -5.514142202992467, "params": [[[3.1382000000000003, 0.5359, 0.0004, 0.0049], [-0.002, 0.5364, 0.0017000000000000001, 0.0005], [1.5693000000000001, -0.0021000000000000003, 1.5690000000000002, 0.0044], [1.9224, -0.0018000000000000002, 1.2226000000000001, 0.0091], [2.3067, 0.... | 0.3833333333333333 * (Z(0) @ Z(1)) + 0.23333333333333334 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.15 * (Z(9) @ Z(1)) + 0.36666666666666664 * (Z(9) @ Z(0)) + 0.06666666666666667 * (Z(9) @ Z(5)) + 0.11666666666666667 * (Z(10) @ Z(1)) + 0.11666666666666667 * (Z(10) @ Z(0)) + 0.31666666666666665 * (Z(10) @ Z(5)) + 0.0666... | 11 | 12 | 1 | {"smallest_eigenvalues": [-5.916666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.55, "smallest_bitstrings": ["000010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(3.1382) q[0];
rz(0.5359) q[0];
ry(-0.002) q[1];
rz(0.5364) q[1];
ry(1.5693) q[2];
rz(-0.0021) q[2];
ry(1.9224) q[3];
rz(-0.0018) q[3];
ry(2.3067) q[4];
rz(0.7368) q[4];
ry(0.0022) q[5];
rz(-2.3705) q[5];
ry(1.5684) q[6];
rz(-0.002) q[6];
ry(1.9822) 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": []} |
3179afe1dc957b5c6c41286c03203dc8 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [91, 346], "expectation_value": -2.1428063583689663, "params": [[[0.10490000000000001, 0.0026000000000000003], [0.0886, 0.0279], [0.4994, -0.0889], [-0.2827, -0.1241], [0.48760000000000003, 0.40140000000000003], [0.4943, 0.35650000000000004], [0.046900000000000004, 0.24780000000000002], [0.4978, 0.3872000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 15 | 9 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["010100110", "010100101", "001100101", "100100101", "011100100", "010110010", "010101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1049) q[0];
ry(0.0886) q[1];
ry(0.4994) q[2];
ry(-0.2827) q[3];
ry(0.4876) q[4];
ry(0.4943) q[5];
ry(0.0469) q[6];
ry(0.4978) q[7];
ry(0.4781) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fb05f19bbdb0da3189dcb4c536be2edc | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"s... | {"states": [8177, 8161], "expectation_value": -33.111713424650425, "params": [[[-0.0023, 2.9158], [-0.0036000000000000003, -0.0031000000000000003], [0.0019, -0.0023], [-0.0034000000000000002, -0.0024000000000000002], [-0.003, -0.003], [-0.003, -0.0031000000000000003], [-0.002, -0.0025], [-0.0022, 0.0022], [-0.884300000... | -1.5 * (Z(0) @ Z(6)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(7)) + -2.5 * (Z(8) @ Z(10)) + -2.5 * (Z(11) @ Z(10)) + 1.0 * (Z(11) @ Z(8)) + -2.5 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(11)) + -2.5 * (Z(12) @ Z(2)) + 1.0 * (Z(3) @ Z(2)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.0, "smallest_bitstrings": ["0000000011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0023) q[0];
ry(-0.0036) q[1];
ry(0.0019) q[2];
ry(-0.0034) q[3];
ry(-0.003) q[4];
ry(-0.003) q[5];
ry(-0.002) q[6];
ry(-0.0022) q[7];
ry(-0.8843) q[8];
ry(-0.0027) q[9];
ry(-0.0024) q[10];
ry(-0.0026) q[11];
ry(-0.0019) q[12];
cx q[12], q[0];
cx q[11],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 4} | {"circuits": [], "gradients": []} |
-3224638487410724847 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1], [2, 3], [2, 5], [2, 4], [1, 4], [4, 5], [1, 3], [3, 5]]} | {"states": [25, 38], "expectation_value": -0.10393636333693386, "params": [[0.0785], [-0.07590000000000001]], "bitstrings": ["100110", "011001"], "total_optimization_steps": 10, "probabilities": [0.017496153134147086, 0.017496153134147086], "optimization_time": 1.4281017780303955} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["100111", "100110", "011000", "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];
cx q[5], q[1];
rz(0.0785) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(0.0785) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(0.0785) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(0.0785) q[3];
cx q[5], q[3];
cx q[1], q[3];
rz(0.0785... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
87817ed0e2b47d9c36c22c880413bf31 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, ... | {"states": [58, 46], "expectation_value": -6.499898994644885, "params": null, "bitstrings": ["1000101", "1010001"], "total_optimization_steps": 35, "probabilities": [1.634968853152207e-05, 0.9999303746784153], "optimization_time": 38.24358320236206} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ 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(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + -1.5 * Z(2) + -2.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.4449) q[2];
ry(1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[4];
ry(1.4417) q[3];
cry(-0.1259) q[4], q[2];
cry(0.1217) q[1], q[3];
cry(0.1216) q[3], q[4];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e2fd758a3afa6a51c78ff05fa92b78d0 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [456, 448], "expectation_value": -13.460979466916024, "params": null, "bitstrings": ["000110111", "000111111"], "total_optimization_steps": 54, "probabilities": [0.08675654566896131, 0.519650792754482], "optimization_time": 63.88488268852234} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[3];
ry(-1.5708) q[7];
cry(1.5708) q[6], q[5];
cry(1.231) q[4], q[6];
ry(-1.5703) q[8];
ry(-0.9602) q[4];
ry(-1.1367) q[6];
cry(1.5681) q[2], q[1];
cry(1.231) q[1], q[2];
cry(... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) 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] = ... |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 3], "expectation_value": -2.499905744134611, "params": null, "bitstrings": ["1111", "1100"], "total_optimization_steps": 12, "probabilities": [1.7262802419417304e-05, 0.9999394822330102], "optimization_time": 5.610859394073486} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[2];
cry(-0.1259) q[3], q[1];
cry(0.1217) q[3], q[2];
cry(0.1214) q[2], q[3];
cry(-0.0027) q[3], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\... |
20a8103f07dd8a24047f028e6edcf2b9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [235, 122], "expectation_value": -9.641735377450539, "params": [[-0.0477], [0.064]], "bitstrings": ["00010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006954162516122898, 0.0077460181017357695], "optimization_time": 2.0106070041656494} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3816) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3816) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3816) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.3816) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
18dd4c426cbe67a44eb1a1feaa80acf2 | 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": 4, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [51, 119], "expectation_value": -6.903041544118682, "params": null, "bitstrings": ["11001100", "10001000"], "total_optimization_steps": 69, "probabilities": [0.2168824596047679, 0.2675820057610101], "optimization_time": 90.69609570503235} | -1.0 * (Z(0) @ Z(4)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -1.5 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -1.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-13.0, -13.0, -13.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -12.0, "smallest_bitstrings": ["10011110", "10001000", "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];
ry(1.5708) q[2];
cry(1.4894) q[2], q[1];
ry(-1.5708) q[4];
ry(-1.5706) q[0];
cry(1.5708) q[1], q[7];
cry(1.5706) q[6], q[3];
cry(0.6139) q[1], q[6];
cry(0.2813) q[1], q[3];
cry(0.7223) q[3], q[6];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
1b85dbadf49d5e00f9e47be861e776c4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -5.496464013564576, "params": null, "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 25, "probabilities": [0.0663487357359079, 0.9303658527537751], "optimization_time": 23.904735803604126} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"]} | 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[0];
ry(-1.5681) q[2];
ry(-1.5681) q[6];
ry(1.4449) q[5];
ry(1.4449) q[3];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[5], q[4];
cry(-0.3789) q[5], q[1];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9b6c90aee56ab84919f7c826e678a024 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [9, 28], "expectation_value": -1.0184924796813783, "params": [[0.07590000000000001, 0.0745, 0.0687, 0.0631], [-0.0833, -0.0814, -0.0722, -0.0639]], "bitstrings": ["10110", "00011"], "total_optimization_steps": 10, "probabilities": [0.05574629770498392, 0.06557427372974345], "optimization_time": 3.80735158920... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["00011"]} | 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[3], q[0];
rz(0.0759) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0759) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0759) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0759) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0759) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
881ad8e96d98232babdd9271f9c6d212 | 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": 2}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [560, 562], "expectation_value": -6.981006744533673, "params": [0.8078000000000001, 0.0028, 0.8094, 0.0066, -0.0033, 0.4994, -0.0034000000000000002, 0.0044, 0.16290000000000002, -0.32480000000000003, 0.1597, 0.0002, 0.1792, 0.29300000000000004, 0.17950000000000002, 0.0097, 0.8096, -0.0023, 0.809, 0.0098, 0.8... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -8.0, "smallest_bitstrings": ["0111100101", "0110110101", "0111001101", "1101001011", "1101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.8078) q[0];
rz(0.0028) q[0];
rx(-0.0033) q[1];
rz(0.4994) q[1];
rx(0.1629) q[2];
rz(-0.3248) q[2];
rx(0.1792) q[3];
rz(0.293) q[3];
rx(0.8096) q[4];
rz(-0.0023) q[4];
rx(0.8015) q[5];
rz(-0.0014) q[5];
rx(-0.0014) q[6];
rz(0.4405) q[6];
rx(0.166) 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": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2941, 2933], "expectation_value": -5.279221738073242, "params": [1.0868, 0.0944, 0.4374, 0.5669000000000001, 1.0754000000000001, 0.2665, 1.1236000000000002, 0.1463, 0.48050000000000004, 0.6434000000000001, 1.1361, 0.22310000000000002, 0.9400000000000001, -0.0015, 1.0988, -0.0029000000000000002, 0.5672, 0.41... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0868) q[0];
rz(0.0944) q[0];
rx(0.4374) q[1];
rz(0.5669) q[1];
rx(1.0754) q[2];
rz(0.2665) q[2];
rx(1.1236) q[3];
rz(0.1463) q[3];
rx(0.4805) q[4];
rz(0.6434) q[4];
rx(1.1361) q[5];
rz(0.2231) q[5];
rx(0.94) q[6];
rz(-0.0015) q[6];
rx(1.0988) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input floa... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
a5ab45828095e3b6ad01a6edd098559d | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [166, 182], "expectation_value": -1.365348954234532, "params": [0.34040000000000004, 0.265, 0.6019, 0.2736, 0.47540000000000004, 0.2495, 0.5997, 0.29710000000000003, 0.602, -0.006200000000000001, 0.3209, 0.1468, 0.6057, 0.013800000000000002, 0.6044, 0.0019, 0.0021000000000000003, 0.4571, 0.3249, 0.2738, 0.60... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0... | 16 | 9 | 3 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5625, "smallest_bitstrings": ["011001001", "101000011", "010101001", "101001001", "100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3404) q[0];
rz(0.265) q[0];
rx(0.6019) q[1];
rz(0.2736) q[1];
rx(0.4754) q[2];
rz(0.2495) q[2];
rx(0.5997) q[3];
rz(0.2971) q[3];
rx(0.602) q[4];
rz(-0.0062) q[4];
rx(0.3209) q[5];
rz(0.1468) q[5];
rx(0.6057) q[6];
rz(0.0138) q[6];
rx(0.6044) 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": []} |
0f435eed505f807fb8dc44643dfd43ce | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 3}, {"weight": 17, "source": 1, "target": 2}, {"weight": 11, "source"... | {"states": [62, 61], "expectation_value": -19.92232210859488, "params": [[-0.0352, -0.0009000000000000001], [0.07200000000000001, 0.0781]], "bitstrings": ["1000001", "1000010"], "total_optimization_steps": 10, "probabilities": [0.018430043522226783, 0.02300416974995136], "optimization_time": 3.491827964782715} | 3.0 * (Z(0) @ Z(1)) + 3.0 * (Z(2) @ Z(1)) + 3.0 * (Z(2) @ Z(0)) + 3.0 * (Z(3) @ Z(1)) + 3.0 * (Z(3) @ Z(0)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2112) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2112) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2112) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2112) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
118037051d4e064ed30ce81580caf956 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [256, 3], "expectation_value": -5.9063490017377935, "params": null, "bitstrings": ["011111111", "111111100"], "total_optimization_steps": 35, "probabilities": [0.0653228969758787, 0.825432598909055], "optimization_time": 48.923253774642944} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"]} | 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(-1.5158) q[8], q[0];
ry(1.048) q[8];
cry(1.5574) q[8], q[7];
cry(-0.5462) q[7], q[0];
cry(-1.51) q[8], q[6];
ry(-1.4772) q[4];
ry(-1.4449) q[2];
ry(-1.5122) q[1];
ry(-1.4433) q[3];
ry(... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.5158) q[8], 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... |
2398b0b8852b758caa629303970b584b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [12, 49], "expectation_value": -0.2798565443075278, "params": [[0.0731], [-0.0712]], "bitstrings": ["110011", "001110"], "total_optimization_steps": 10, "probabilities": [0.017971824086236144, 0.018283869114096116], "optimization_time": 1.254953384399414} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -1.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0731) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0731) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0731) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0731) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0731... | 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
-2619258521276168165 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 6], [1, 2, 3, 4, 6], [0, 1, 4, 7], [0, 2, 4, 6], [0, 1, 4, 5, 6], [0, 1, 2, 5, 6], [1, 2, 3, 4, 5], [0, 1, 2, 3, 5]]} | {"states": [158, 159], "expectation_value": -0.7600375713623141, "params": [[-0.25670000000000004], [0.2684]], "bitstrings": ["01100001", "01100000"], "total_optimization_steps": 30, "probabilities": [0.006620017917081857, 0.006663954967206755], "optimization_time": 1.5898191928863525} | 0.26666666666666666 * (Z(0) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.26666666666666666 * (Z(6) @ Z(2)) + 0.26666666666666666 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.2 * (Z(1) @ Z(2)) + 0.23333333333333334 * (Z(1) @ Z(0)) + 0.15000000000000002 * (Z(1) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.7500000000000004, -1.7500000000000004, -1.7500000000000004], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.75, "smallest_bitstrings": ["01100000", "00100101", "00000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.1369) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1198) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0685) q[3];
cx q[0], q[3];
cx q[2], q[6];
rz(-0.1369) q[6];
cx q[2], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
3ab147cc948c972495cc9d6b1a04d6d2 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [37, 52], "expectation_value": -0.46574303848309784, "params": [[-0.0733, -0.0668], [0.0707, 0.07250000000000001]], "bitstrings": ["011010", "001011"], "total_optimization_steps": 10, "probabilities": [0.020537849949624043, 0.020537849949624043], "optimization_time": 2.29236102104187} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(-0.0733) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0733) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(-0.0733) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(-0.0733) q[5];
cx q[1], q[5];
cx q[4], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
4a01a984c253fac78cca60269d01efc1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [501, 485], "expectation_value": -1.6296986516871528, "params": [0.1401, 0.4847, 0.7935, 0.1022, 0.7958000000000001, -0.1658, 0.7972, -0.1811, 0.7962, -0.1436, 0.5179, -0.14200000000000002, 0.12440000000000001, 0.34840000000000004, 0.7933, 0.1448, 0.1588, 0.5421, 0.7942, 0.14300000000000002, 0.1388, 0.5183, ... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(5)) + -0.125 * (Z(2) @ Z(4) @ Z(5)) + -0.125 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(2) @ Z(3) @ Z(4... | 18 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010000101", "0111000010", "0110000110", "1000101001", "1000011010", "1011000001", "1000011001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1401) q[0];
rz(0.4847) q[0];
rx(0.7935) q[1];
rz(0.1022) q[1];
rx(0.7958) q[2];
rz(-0.1658) q[2];
rx(0.7972) q[3];
rz(-0.1811) q[3];
rx(0.7962) q[4];
rz(-0.1436) q[4];
rx(0.5179) q[5];
rz(-0.142) q[5];
rx(0.1244) q[6];
rz(0.3484) q[6];
rx(0.7933) 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": []} |
-1655252116806949232 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 4], [1, 11, 5], [8, 1, 9], [10, 4, 6], [1, 4], [10, 11], [0, 2, 3], [2, 3, 6], [8, 11], [3, 1, 11], [9, 11], [2, 11], [8, 6], [8, 3, 4], [11, 3, 5], [1, 3, 7], [9, 5], [0, 8], [1, 2], [8, 1, 5], [2, 10, 4], [8, 7], [10, 3, 6], [9, 3], [10, 4, 5], [8, ... | {"states": [3442, 3443], "expectation_value": -5.221735842692719, "params": [[[2.3174, 0.0094], [2.7042, 0.0019], [1.1964000000000001, 0.0014], [2.7045000000000003, 0.0048000000000000004], [1.3408, 0.0016], [2.7021, 0.0094], [2.7030000000000003, 0.0089], [2.693, 0.006], [0.7146, 0.0061], [0.5984, 0.0017000000000000001]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(11) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(11)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(11)) + 0.166... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.666666666666666, "smallest_bitstrings": ["001010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.3174) q[0];
rz(0.0094) q[0];
rx(2.7042) q[1];
rz(0.0019) q[1];
rx(1.1964) q[2];
rz(0.0014) q[2];
rx(2.7045) q[3];
rz(0.0048) q[3];
rx(1.3408) q[4];
rz(0.0016) q[4];
rx(2.7021) q[5];
rz(0.0094) q[5];
rx(2.703) q[6];
rz(0.0089) q[6];
rx(2.693) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [18, 41], "expectation_value": -0.7128003620740568, "params": [[-0.058100000000000006, -0.051800000000000006, -0.013900000000000001], [0.0712, 0.0669, 0.0485]], "bitstrings": ["101101", "010110"], "total_optimization_steps": 10, "probabilities": [0.022574285654762903, 0.023748021664935844], "optimization_tim... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0581) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0581) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0581) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0581) q[4];
cx q[0], q[4];
cx q[3], q[4];
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] 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": []} |
be98abf16f233411f1a7350078e6bb3a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [66, 82], "expectation_value": -2.151842771022234, "params": [[[0.4078, 0.0033], [0.1752, 0.1135], [0.398, -0.0014], [0.17750000000000002, -0.10840000000000001], [0.0037, 0.26430000000000003], [0.4042, 0.0032], [0.0017000000000000001, 0.31]], [[0.405, -0.0002], [0.1778, 0.11380000000000001], [0.3983000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(6) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(2)) + -0.125 * (Z(6) @ Z(0) @ Z(2)) + -0.125 * (Z(6) @ Z(0) @ Z(5)) + -0.125 * (Z(6)... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["0110101", "1001101", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4078) q[0];
rz(0.0033) q[0];
rx(0.1752) q[1];
rz(0.1135) q[1];
rx(0.398) q[2];
rz(-0.0014) q[2];
rx(0.1775) q[3];
rz(-0.1084) q[3];
rx(0.0037) q[4];
rz(0.2643) q[4];
rx(0.4042) q[5];
rz(0.0032) q[5];
rx(0.0017) q[6];
rz(0.31) q[6];
rx(0.405) 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] 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": []} |
151037f60feb2ab36dd911279333468a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [88, 100], "expectation_value": -3.064950087847157, "params": [0.403, 0.0024000000000000002, 0.4048, 0.0026000000000000003, 0.39680000000000004, 0.0038, 0.4007, 0.0006000000000000001, 0.4036, 0.0028, -0.0039000000000000003, 0.19, 0.1373, 0.1612, 0.4031, 0.0002, 0.4022, 0.0026000000000000003, 0.3985, 0.0044, ... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 4 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "0100111", "1100110", "0101011", "0011011", "0010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.403) q[0];
rz(0.0024) q[0];
rx(0.4048) q[1];
rz(0.0026) q[1];
rx(0.3968) q[2];
rz(0.0038) q[2];
rx(0.4007) q[3];
rz(0.0006) q[3];
rx(0.4036) q[4];
rz(0.0028) q[4];
rx(-0.0039) q[5];
rz(0.19) q[5];
rx(0.1373) q[6];
rz(0.1612) q[6];
crx(-0.0214) 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": []} |
b93e7e87e2621c92c7ba04b041c49bf3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 2}, {"weight": 14, "source": 0, "target": 4}, {"weight": 13, "source": 1, "target": 2}, {"weight": 1... | {"states": [125, 122], "expectation_value": -11.040968029392511, "params": [[-0.0313, -0.0379], [0.039400000000000004, 0.0579]], "bitstrings": ["10000010", "10000101"], "total_optimization_steps": 10, "probabilities": [0.00858927326688335, 0.00919150719476236], "optimization_time": 3.6785337924957275} | 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(2)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) @ Z(4)) + 3.5 * (Z(7) @ Z(6)) + 16.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2191) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2191) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2191) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2191) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
76e219723f90bea64e0fa4fea2d9c01b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 7}, {"capac... | {"states": [512, 511], "expectation_value": -22.417732219027556, "params": [[[-0.0118, -0.0083], [-0.001, 0.1874], [-0.0019, 0.0027], [-0.0023, 0.0026000000000000003], [-0.0034000000000000002, -0.0023], [-0.0037, 0.0024000000000000002], [-0.0004, -0.0028], [-0.0009000000000000001, -0.0031000000000000003], [-1.3321, 0.0... | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(1) @ Z(3)) + -2.0 * (Z(1) @ Z(7)) + -1.75 * (Z(1) @ Z(8)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4... | 15 | 10 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0118) q[0];
ry(-0.001) q[1];
ry(-0.0019) q[2];
ry(-0.0023) q[3];
ry(-0.0034) q[4];
ry(-0.0037) q[5];
ry(-0.0004) q[6];
ry(-0.0009) q[7];
ry(-1.3321) q[8];
ry(0.4495) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
04943d12be9331cc9245456617bb8845 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 3, "source": 3, "target": 2}, {"capaci... | {"states": [220, 958], "expectation_value": -25.25465899163168, "params": null, "bitstrings": ["1111100100011", "1110001000001"], "total_optimization_steps": 100, "probabilities": [0.07078627321040105, 0.4572531585542735], "optimization_time": 341.72909355163574} | -1.0 * (Z(10) @ Z(3)) + -2.0 * (Z(11) @ Z(3)) + 2.0 * (Z(11) @ Z(10)) + 2.0 * (Z(4) @ Z(5)) + -1.0 * (Z(0) @ Z(5)) + -0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(10)) + -1.0 * (Z(6) @ Z(11)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(10))... | 1 | 13 | 4 | {"smallest_eigenvalues": [-30.5, -30.5, -30.5, -30.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -30.25, "smallest_bitstrings": ["1111000010100", "1110001000001", "1110000010000", "1111001000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(-2.4156) q[5];
ry(-1.3446) q[7];
ry(10.3973) q[9];
ry(2.8876) q[4];
ry(-0.1439) q[6];
ry(-0.2211) q[0];
ry(0.0007) q[8];
cry(-2.2664) q[4], q[5];
cr... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(-2.4156) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = mea... |
c9169fa251f09f6085bc3667dda1197c | 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": [215, 213], "expectation_value": -46.789906747021355, "params": [[[0.5804, 0.3995], [0.6023000000000001, 0.5178], [0.5841000000000001, 0.3972], [0.0712, 0.2497], [0.603, 0.3864], [0.1748, 0.4812], [0.547, 0.48810000000000003], [0.1839, 0.4384], [0.18680000000000002, 0.5930000000000001]], [[0.338, 0.1918], [0... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(6) @ Z(7)) + 0.5 * Z(0) + 6.0 * Z(2) + 14.0 * Z(1) + 6.5 * Z(4) + -3.0 * Z(3) + 5.0 * Z(5) + 8.5 * Z(8) + 3.5 * Z(7) + 9.0 * Z(6) | 15 | 9 | 4 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5804) q[0];
ry(0.6023) q[1];
ry(0.5841) q[2];
ry(0.0712) q[3];
ry(0.603) q[4];
ry(0.1748) q[5];
ry(0.547) q[6];
ry(0.1839) q[7];
ry(0.1868) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
3a5e93a6522b0debcced28655340b370 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.791667954900475, "params": [-0.0006000000000000001, 0.14070000000000002, -0.0035, 0.1461, 0.0038, 0.15510000000000002, 0.0012000000000000001, 0.1648, 0.2029, 0.0018000000000000002, 0.2019, 0.0061, 0.0043, 0.162, -0.0019, 0.1497, 0.0053, 0.14980000000000002, -0.0003000000000... | -1.75 * (Z(0) @ Z(3)) + -0.5 * (Z(8) @ Z(0)) + 2.5 * (Z(2) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -2.25 * (Z(1) @ Z(8)) + -2.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -3.25 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @... | 7 | 11 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0006) q[0];
rz(0.1407) q[0];
rx(0.0038) q[1];
rz(0.1551) q[1];
rx(0.2029) q[2];
rz(0.0018) q[2];
rx(0.0043) q[3];
rz(0.162) q[3];
rx(0.0053) q[4];
rz(0.1498) q[4];
rx(0.0013) q[5];
rz(0.1392) q[5];
rx(0.0028) q[6];
rz(0.1668) q[6];
rx(-0.002) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
5dad688a93671469362a3d3d00961b05 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 3}]} | {"states": [12, 5], "expectation_value": -2.2240722867802383, "params": null, "bitstrings": ["10011", "11010"], "total_optimization_steps": 15, "probabilities": [0.0739903318953996, 0.9005293513110026], "optimization_time": 7.718274116516113} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.25 * Z(2) + -0.25 * Z(4) + -0.75 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.25, "smallest_bitstrings": ["11010", "01110", "10011"]} | 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(-1.5486) q[3];
ry(-1.4449) q[0];
ry(1.4416) q[2];
cry(-1.0398) q[4], q[1];
ry(0.7019) q[4];
ry(-0.4575) q[1];
cry(0.4969) q[2], q[4];
cry(-0.3761) q[2], q[1];
cry(-0.1216) q[2], q[0];
cry(0.1098) q[4], q[2];
cry(-0.02... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
5062663192868049017 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 2, 3], [2, 6], [0, 2, 3, 4, 8], [3, 4, 6, 8, 9], [8, 1], [5, 6], [8, 7]]} | {"states": [373, 501], "expectation_value": -1.447948496383011, "params": [[[-0.0017000000000000001, 0.009000000000000001, 0.0049, 0.006900000000000001], [1.0433000000000001, 0.0029000000000000002, 1.0537, 0.006], [1.6013000000000002, 0.0006000000000000001, 0.003, 0.0068000000000000005], [0.3894, 0.0035, 1.531000000000... | 0.13333333333333333 * (Z(8) @ Z(9)) + 0.08333333333333333 * (Z(2) @ Z(9)) + 0.13333333333333333 * (Z(2) @ Z(8)) + 0.13333333333333333 * (Z(3) @ Z(9)) + 0.18333333333333335 * (Z(3) @ Z(8)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(9)) + 0.05 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(3)) + 0... | 12 | 10 | 1 | {"smallest_eigenvalues": [-2.6500000000000004, -2.6500000000000004, -2.6500000000000004], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.65, "smallest_bitstrings": ["1101001100", "0101001100", "1000001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0017) q[0];
rz(0.009) q[0];
ry(1.0433) q[1];
rz(0.0029) q[1];
ry(1.6013) q[2];
rz(0.0006) q[2];
ry(0.3894) q[3];
rz(0.0035) q[3];
ry(1.6011) q[4];
rz(0.0056) q[4];
ry(0.3751) q[5];
rz(-0.0113) q[5];
ry(0.0564) q[6];
rz(0.0094) q[6];
ry(0.5352) 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": []} |
e61b9b6cad8366f7e670366fe202a3e7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [126, 122], "expectation_value": -66.25470212730103, "params": [1.344, 0.006200000000000001, 3.1617, 0.0067, 3.1618, 0.0078000000000000005, 3.16, 0.0066, 3.1617, 0.006200000000000001, 1.5601, 0.0097, 3.1608, 0.0051, 0.187, 0.0045000000000000005, 0.0002, 0.0044, 0.0098, 0.0036000000000000003, 0.00480000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.344) q[0];
rz(0.0062) q[0];
rx(3.1617) q[1];
rz(0.0067) q[1];
rx(3.1618) q[2];
rz(0.0078) q[2];
rx(3.16) q[3];
rz(0.0066) q[3];
rx(3.1617) q[4];
rz(0.0062) q[4];
rx(1.5601) q[5];
rz(0.0097) q[5];
rx(3.1608) q[6];
rz(0.0051) q[6];
rx(0.187) q[7];
rz(0.0045... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 159.06883573532104} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | 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(8.8595) q[4];
ry(22.4081) q[1];
ry(63.2613) q[2];
ry(10.617) q[7];
ry(63.0833) q[6];
cry(62.605) q[4], q[2];
cry(23.8282) q[6], q[2];
cry(-11.7947) q[4], q[1];
ry(-0.0629) q[0];
ry(0.3559) q[5]... | 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(8.8595) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
8c44c442a25e00dfae4e1647b2faf79f | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [58, 42], "expectation_value": -0.8191601348918991, "params": [1.8012000000000001, 0.0061, 1.5677, 0.001, 1.8105, 0.006500000000000001, 0.7891, 0.0036000000000000003, 1.8102, 0.0061, 0.33140000000000003, 0.0004, 0.0063, 0.009600000000000001, 0.006500000000000001, 0.0063, 0.01, 0.0058000000000000005], "bitstr... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 18 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.8012) q[0];
rz(0.0061) q[0];
rx(1.5677) q[1];
rz(0.001) q[1];
rx(1.8105) q[2];
rz(0.0065) q[2];
rx(0.7891) q[3];
rz(0.0036) q[3];
rx(1.8102) q[4];
rz(0.0061) q[4];
rx(0.3314) q[5];
rz(0.0004) q[5];
crz(0.0063) q[5], q[0];
crz(0.0058) q[4], q[5];
crz(0.01)... | OPENQASM 3.0;
include "stdgates.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": []} |
d75363653ef00cde7e482c2c3392dff7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 1, "s... | {"states": [10, 11], "expectation_value": -5.313797244294559, "params": [0.045700000000000005, -0.22, -0.0032, 1.2875, 0.0024000000000000002, 1.3257, 0.0026000000000000003, 1.3285, 0.0026000000000000003, 1.2808000000000002, 0.9262, 0.0021000000000000003, 0.0025, 1.3172000000000001, 1.3192000000000002, 0.606200000000000... | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(8) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(7) ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75, -5.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.75, "smallest_bitstrings": ["100000000", "101110010", "101110000", "101000000", "111110000", "111110100", "111110110", "111110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0457) q[0];
rz(-0.22) q[0];
rx(-0.0032) q[1];
rz(1.2875) q[1];
rx(0.0024) q[2];
rz(1.3257) q[2];
rx(0.0026) q[3];
rz(1.3285) q[3];
rx(0.0026) q[4];
rz(1.2808) q[4];
rx(0.9262) q[5];
rz(0.0021) q[5];
rx(0.0025) q[6];
rz(1.3172) q[6];
rx(1.3192) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
1d36f605f450bd24c53bed4c61ab6422 | 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": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [51, 35], "expectation_value": -0.3820907575925932, "params": [[-0.054700000000000006, -0.0629], [0.07150000000000001, 0.0626]], "bitstrings": ["1001100", "1011100"], "total_optimization_steps": 10, "probabilities": [0.01084276913650007, 0.011059858427481887], "optimization_time": 2.8135557174682617} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"]} | 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(0.0274) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0274) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.0547) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(0.0547) q[2];
cx q[4], q[2];
cx q[2], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9f43fe75b2280c840369a5d99b502e49 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [815, 811], "expectation_value": -1.4333358208861031, "params": [[[1.1023, 0.0001], [1.1032, -0.0001], [0.258, -0.4277], [0.2555, 0.4283], [1.0962, -0.001], [0.4914, -0.29460000000000003], [1.1052, -0.0001], [0.7848, -0.14450000000000002], [1.0969, -0.0009000000000000001], [1.0954000000000002, 0.000900000000... | 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(4) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(1) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1) @ Z(7)) ... | 1 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["1001010001", "0011010010", "0011010001", "0011001100", "0010111000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1023) q[0];
rz(0.0001) q[0];
rx(1.1032) q[1];
rz(-0.0001) q[1];
rx(0.258) q[2];
rz(-0.4277) q[2];
rx(0.2555) q[3];
rz(0.4283) q[3];
rx(1.0962) q[4];
rz(-0.001) q[4];
rx(0.4914) q[5];
rz(-0.2946) q[5];
rx(1.1052) q[6];
rz(-0.0001) q[6];
rx(0.7848) 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": []} |
6af884d627ee37a45c35f4c485ec07d5 | 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": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61, 1], "expectation_value": -0.4877224813889419, "params": [[-0.053700000000000005, -0.0738, -0.066], [0.055200000000000006, 0.0695, 0.06330000000000001]], "bitstrings": ["1000010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.013394377861685888, 0.013742888555068614], "optimization_time... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101010", "1111110", "1101110", "1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0269) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.0537) q[6];
cx q[0], q[6];
cx q[5], q[3];
rz(0.0269) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(0.1343) q[1];
cx q[3], q[1];
cx q[3], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
cccde4707d298ae394e20cc161e11586 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [43, 9], "expectation_value": -6.005414055225549, "params": null, "bitstrings": ["111010100", "111110110"], "total_optimization_steps": 41, "probabilities": [0.2593643855933671, 0.3078667096801273], "optimization_time": 65.85873866081238} | -0.5 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(4)) + -2.0 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
cry(-1.5708) q[8], q[0];
ry(1.0832) q[8];
ry(-0.544) q[0];
ry(-1.5697) q[6];
ry(-1.5697) q[2];
ry(-1.5601) q[3];
cry(0.3484) q[5], q[8... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
73162755fd3fb63ec250bb0297031b85 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -0.0712929207781333, "params": [[0.0541], [-0.044500000000000005]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.016386529217665112, 0.016386529217665112], "optimization_time": 1.0599782466888428} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "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[2], q[0];
rz(0.0541) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.0541) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0541) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0541) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0541... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx ... | null | {"circuits": [], "gradients": []} |
f3708375ba6fa9c71edbcd23f9c9eca4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}]} | {"states": [8, 7], "expectation_value": -0.05279277238865117, "params": [[0.07060000000000001], [-0.0543]], "bitstrings": ["0111", "1000"], "total_optimization_steps": 10, "probabilities": [0.06530630083933799, 0.06633095904168984], "optimization_time": 0.9111754894256592} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + 0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.25, "smallest_bitstrings": ["1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(-0.0706) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0706) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0706) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1059) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(-0.0706) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
ee95eea0157613eba1229e90a73f1e5f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -16.74727706017298, "params": [[[0.0009000000000000001, 0.0025], [0.0031000000000000003, 0.0024000000000000002], [0.005200000000000001, 0.0026000000000000003], [0.0801, 0.0025], [0.0007, 0.0025], [0.0109, -0.0029000000000000002], [0.0189, -0.0026000000000000003], [-0.0014, ... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(11) @ Z(1)) + -0.75 * (Z(11) @ Z(0)) + 2.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(11)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(8)) + -1.0 * (Z(7) @ Z(5)) + -1.25 * (Z(10) @ Z(1)) + -0.5 * (Z(... | 15 | 12 | 3 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.25, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0009) q[0];
ry(0.0031) q[1];
ry(0.0052) q[2];
ry(0.0801) q[3];
ry(0.0007) q[4];
ry(0.0109) q[5];
ry(0.0189) q[6];
ry(-0.0014) q[7];
ry(0.0114) q[8];
ry(0.0055) q[9];
ry(-1.4565) q[10];
ry(0.0104) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d5141e120f90f429ecf4d4dba0d0fe25 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 14, "source": 0, "target": 2}, {"weight": 20, "source": 1, "ta... | {"states": [500, 244], "expectation_value": -65.54684372121625, "params": [1.5622, 0.0047, 3.1393, 0.009000000000000001, 3.14, 0.0051, 3.14, 0.0078000000000000005, 3.1389, 0.0041, 1.1816, 0.00030000000000000003, 3.1384000000000003, 0.0037, -0.0064, 0.0005, 0.7059000000000001, 0.0002, 0.0023, 0.0076, 0.0094, 0.007500000... | 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 *... | 18 | 9 | 1 | {"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;
rx(1.5622) q[0];
rz(0.0047) q[0];
rx(3.1393) q[1];
rz(0.009) q[1];
rx(3.14) q[2];
rz(0.0051) q[2];
rx(3.14) q[3];
rz(0.0078) q[3];
rx(3.1389) q[4];
rz(0.0041) q[4];
rx(1.1816) q[5];
rz(0.0003) q[5];
rx(3.1384) q[6];
rz(0.0037) q[6];
rx(-0.0064) q[7];
rz(0.0005... | OPENQASM 3.0;
include "stdgates.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": []} |
1a4362188b6951d8767035d8d38385f1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [343, 327], "expectation_value": -2.800092218908629, "params": [2.7786, 0.005200000000000001, 0.0018000000000000002, 0.0028, 2.7992000000000004, 0.0097, 0.0021000000000000003, 0.0008, 1.5442, 0.006500000000000001, 0.0032, 0.0008, 2.7733000000000003, 0.0006000000000000001, 1.9586000000000001, 0.007, 2.8028, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.125 * (Z(4) @ Z(7)) + 0.125 * (Z(6) @ Z(7)) + -0.125 * (Z(4) @ Z(0) @ Z(6)) + -0.125 * (Z(4) @ Z(0) ... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.375, "smallest_bitstrings": ["010110100", "010101010", "001101010", "010110001", "010101100", "100101010", "110101000", "010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.7786) q[0];
rz(0.0052) q[0];
rx(0.0018) q[1];
rz(0.0028) q[1];
rx(2.7992) q[2];
rz(0.0097) q[2];
rx(0.0021) q[3];
rz(0.0008) q[3];
rx(1.5442) q[4];
rz(0.0065) q[4];
rx(0.0032) q[5];
rz(0.0008) q[5];
rx(2.7733) q[6];
rz(0.0006) q[6];
rx(1.9586) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-2518429121079408534 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3, 4, 5], [2, 4], [8, 3, 4, 7], [8, 1, 5, 7], [2, 5], [8, 2, 3], [8, 1, 3, 7], [0, 1, 3, 8], [8, 1, 4], [0, 3, 5], [0, 6], [8, 4, 5], [8, 2, 6, 7], [8, 5, 6, 7], [0, 2], [3, 4, 5, 7]]} | {"states": [229, 283], "expectation_value": -0.05160862867318023, "params": [[-0.030000000000000002], [0.042100000000000005]], "bitstrings": ["100011010", "011100100"], "total_optimization_steps": 10, "probabilities": [0.002014383475240217, 0.002022818811222772], "optimization_time": 4.460659980773926} | 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.41666666666666663 * (Z(8) @ Z(3)) + 0.41666666666666663... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.083333333333335, "smallest_bitstrings": ["011100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(-0.015) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.015) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.015) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(-0.02) q[5];
cx q[3], q[5];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
f736cdcdd3e9fab7057c0068d5117a32 | 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": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "tar... | {"states": [461, 244], "expectation_value": -31.943007162855732, "params": null, "bitstrings": ["000110010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.04759182583258912, 0.11524234187856296], "optimization_time": 197.67222261428833} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 16.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(0.1246) q[3];
ry(23.2852) q[4];
ry(-25.9147) q[1];
ry(6.6126) q[0];
ry(0.1645) q[5];
ry(3.6791) q[2];
cry(62.8422) q[5], q[0];
cry(5.894) q[0], q[5];
cry(62.9658) q[0], q[3];
ry(22.4691... | 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(0.1246) 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] = m... |
118037051d4e064ed30ce81580caf956 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "s... | {"states": [1, 3], "expectation_value": -5.832834454525358, "params": [-0.0023, -0.12840000000000001, 0.0007, -0.1346, -0.0025, -0.2215, -0.0034000000000000002, -0.22080000000000002, -0.0016, -0.22740000000000002, -0.007200000000000001, -0.21830000000000002, -0.0044, -0.2049, -0.0021000000000000003, -0.2178000000000000... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0023) q[0];
rz(-0.1284) q[0];
rx(-0.0025) q[1];
rz(-0.2215) q[1];
rx(-0.0016) q[2];
rz(-0.2274) q[2];
rx(-0.0044) q[3];
rz(-0.2049) q[3];
rx(-0.0042) q[4];
rz(-0.2068) q[4];
rx(0) q[5];
rz(-0.1899) q[5];
rx(0.0018) q[6];
rz(-0.1838) q[6];
rx(0.2846) 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": []} |
1986855345536807026 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1], [4, 6, 7], [4, 5], [2, 3, 6]]} | {"states": [103, 167], "expectation_value": -0.5093441095295477, "params": [[0.3398], [-0.338]], "bitstrings": ["10011000", "01011000"], "total_optimization_steps": 40, "probabilities": [0.009574290835007717, 0.009574290835007717], "optimization_time": 1.7693443298339844} | 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.3333333333333333 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667, -1.6666666666666667], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666663, "smallest_bitstrings": ["10011000", "01011000", "01101000", "10000110", "01000110", "... | 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(0.3398) q[0];
cx q[1], q[0];
cx q[6], q[4];
rz(0.1133) q[4];
cx q[6], q[4];
cx q[6], q[7];
rz(0.1133) q[7];
cx q[6], q[7];
cx q[4], q[7];
rz(0.1133) q[7];
cx q[4], q[7];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[6], q[4];
rz(x1) q[4];
cx q[6], q[4];
cx q[6], q... | null | {"circuits": [], "gradients": []} |
0c945e13d24e3db70f80084c9fd9fc0e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 5, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 2, "source": 1, "target"... | {"states": [1024, 1023], "expectation_value": -21.753938683147336, "params": [[[0.0036000000000000003, 0.0083], [0.002, -0.0029000000000000002], [0.006900000000000001, 0.0016], [0.0064, 0.0018000000000000002], [0.0055000000000000005, 0.0019], [0.0132, 0.0022], [0.0026000000000000003, 0.0021000000000000003], [0.0049, 0.... | -1.25 * (Z(0) @ Z(8)) + 1.5 * (Z(2) @ Z(0)) + -0.5 * (Z(1) @ Z(8)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(3) @ Z(8)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(7) @ Z(2)) + -1.5 * (Z(7) @ Z(1)) + -2.25 * (Z(7) @ Z(3)) + -1.5 * (Z(4) @ Z(7)) + -1.25 * (Z(9) @ Z(8)) + -1.75 * (Z(9) @ Z(4)) + -0.5 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z... | 15 | 11 | 2 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0036) q[0];
ry(0.002) q[1];
ry(0.0069) q[2];
ry(0.0064) q[3];
ry(0.0055) q[4];
ry(0.0132) q[5];
ry(0.0026) q[6];
ry(0.0049) q[7];
ry(0.0075) q[8];
ry(-0.0035) q[9];
ry(1.584) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [167, 239], "expectation_value": -6.6666521997982375, "params": [[-0.0848, -0.012100000000000001], [0.1653, 0.1563]], "bitstrings": ["101011000", "100010000"], "total_optimization_steps": 20, "probabilities": [0.006770639327727966, 0.006857024759587798], "optimization_time": 10.311531782150269} | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | 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(-0.3392) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.3392) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.1696) q[3];
cx q[1], q[3];
cx q[2], q[0];
rz(-0.1696) q[0];
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[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [1907, 1909], "expectation_value": -1.7707999500845102, "params": [[0.1766], [-0.17800000000000002]], "bitstrings": ["100010001100", "100010001010"], "total_optimization_steps": 20, "probabilities": [0.000658178646765441, 0.000658178646765441], "optimization_time": 4.911853075027466} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001010001", "010001100010", ... | 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[1], q[0];
rz(0.1766) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1766) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1766) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-7745204400287325471 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 6], [2, 3], [3, 6], [4, 6], [2, 4], [4, 5], [6, 7], [5, 6], [1, 4], [0, 4]]} | {"states": [245, 93], "expectation_value": -2.5133508072559176, "params": null, "bitstrings": ["00001010", "10100010"], "total_optimization_steps": 72, "probabilities": [0.07379727282748279, 0.6107957268814651], "optimization_time": 94.76044583320618} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -2.0, "smallest_bitstrings": ["11110101", "00011101", "00011010", "00011001", "11100110", "11100010", "11100101", "10100110", "11010101", "00101010... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[4], q[6];
cry(-1.0342) q[4], q[2];
cry(1.3762) q[4], q[3];
ry(0.6284) q[4];
cry(-0.6942) q[3], q[6];
cry(-0.6942) q[3], q[2];
cry(-1.2338) q[4], q[0];
ry(1.216) q[7];
cry(0.3782) q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], 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] = me... |
637debe169b0146f0865e4dcdbbf5c98 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"sour... | {"states": [250, 186], "expectation_value": -4.572830539954299, "params": [-0.008, -0.0106, 0.4076, 0.4011, 0.3894, 0.3916, 0.3997, 0.39790000000000003, 0.3965, 0.3926, 0.4038, 0.4022, 0.0024000000000000002, -0.0023, 0.4082, 0.39980000000000004, -0.0176, -0.0184, -0.014100000000000001, -0.0143, 0.4015, 0.40080000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -0.5 * Z(1) + -2.0 * Z(0) + -1.0 *... | 13 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101000101", "100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.008) q[0];
ry(0.4076) q[1];
ry(0.3894) q[2];
ry(0.3997) q[3];
ry(0.3965) q[4];
ry(0.4038) q[5];
ry(0.0024) q[6];
ry(0.4082) q[7];
ry(-0.0176) q[8];
crz(0.2109) q[8], q[0];
crz(-0.0072) q[7], q[8];
crz(0.1717) q[6], q[7];
crz(0.0011) q[5], q[6];
crz(-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[... | null | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [3499, 1907], "expectation_value": -3.2563974927742962, "params": [[-0.1553, -0.1474], [0.16790000000000002, 0.1628]], "bitstrings": ["001001010100", "100010001100"], "total_optimization_steps": 20, "probabilities": [0.0016990970282420846, 0.0016990970282420848], "optimization_time": 6.406085014343262} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 2 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.1553) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1553) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1553) q[2];
cx q[0], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
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