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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5696282716392168254 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 11], [0, 9], [8, 1], [2, 11], [4, 5], [0, 6], [4, 7], [8, 10], [11, 12]]} | {"states": [4882, 4370], "expectation_value": -0.0125665153458146, "params": [[[1.6333, 0.006200000000000001], [1.5258, 0.0068000000000000005], [1.5390000000000001, 0.0044], [1.5441, 0.0006000000000000001], [1.6262, 0.0067], [1.4972, 0.0013000000000000002], [1.4921, 0.0036000000000000003], [1.5031, 0.0044], [1.6106, 0.... | 0.5 * (Z(3) @ Z(11)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(12) @ Z(11)) + 0.0 * Z(11) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(4) +... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011100010001", "1011010110001", "0011011111001", "1100010100110", "1100100000110", "0111011101101", "00... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.6333) q[0];
rz(0.0062) q[0];
rx(1.5258) q[1];
rz(0.0068) q[1];
rx(1.539) q[2];
rz(0.0044) q[2];
rx(1.5441) q[3];
rz(0.0006) q[3];
rx(1.6262) q[4];
rz(0.0067) q[4];
rx(1.4972) q[5];
rz(0.0013) q[5];
rx(1.4921) q[6];
rz(0.0036) q[6];
rx(1.5031) 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": []} |
3bb079244230ecfe3b12b98f791fe70b | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [383, 511], "expectation_value": -14.711034898831908, "params": null, "bitstrings": ["010000000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.10452238644732167, 0.3314128628024651], "optimization_time": 230.51262998580933} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -2.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + -... | 1 | 9 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.0, "smallest_bitstrings": ["000000000"]} | 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(1.5708) q[7], q[5];
cry(1.5708) q[5], q[8];
cry(1.1303) q[8], q[7];
ry(-0.555) q[5];
cry(0.3566) q[8], q[5];
cry(0.6522) q[6], q[5];
cry(1.5708) q[3], q[4];
cry(1.5709) q[4], q[1];
cry... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[7], 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... |
abfc65dd279c9be0771666a7af1df613 | 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": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 8}, {"capac... | {"states": [0, 1], "expectation_value": -17.424738217941776, "params": [-0.0033, 0.0011, 0.0026000000000000003, 0.005, 0.0025, 0.004200000000000001, 0.0025, 0.0027, 0.0023, 0.0078000000000000005, 0.0024000000000000002, 0.0063, 0.0023, 0.010100000000000001, 0.0027, 0.008700000000000001, 0.0022, -0.9771000000000001, 1.61... | -1.0 * (Z(0) @ Z(3)) + -1.0 * (Z(4) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(8)) + -2.0 * (Z(6) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(8)) + -0.75 * (Z(2) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + -0.75 * (Z(7) @ Z(8)) + -1.25 * (Z(7)... | 4 | 10 | 1 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0033) q[0];
rz(0.0011) q[0];
rx(0.0026) q[1];
rz(0.005) q[1];
rx(0.0025) q[2];
rz(0.0042) q[2];
rx(0.0025) q[3];
rz(0.0027) q[3];
rx(0.0023) q[4];
rz(0.0078) q[4];
rx(0.0024) q[5];
rz(0.0063) q[5];
rx(0.0023) q[6];
rz(0.0101) q[6];
rx(0.0027) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
98ff52dd3a46eb29e6baf499c47cc739 | edge_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": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [41, 22], "expectation_value": -0.06745520440146888, "params": [[0.0766], [-0.0751]], "bitstrings": ["010110", "101001"], "total_optimization_steps": 10, "probabilities": [0.017086030106846686, 0.01708603010684669], "optimization_time": 3.3253612518310547} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(4) @ Z(0) @ Z(5)) + -0.125 * (Z(4)... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.125, "smallest_bitstrings": ["010110", "011010", "011001", "101001", "111000", "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];
cx q[1], q[0];
rz(0.0766) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0766) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(0.0766) q[4];
cx q[2], q[4];
cx q[3], q[0];
rz(0.0192) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0192... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
-2995203001082432168 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 7], [1, 6], [8, 7], [1, 4], [4, 6], [3, 6], [1, 3], [1, 7], [2, 4], [1, 2], [3, 7], [4, 5], [2, 3], [5, 6], [8, 1], [3, 4], [0, 4], [1, 5], [0, 1], [2, 5], [8, 2], [0, 6], [0, 7], [6, 7]]} | {"states": [86, 425], "expectation_value": -0.2761121384575885, "params": [[-0.07730000000000001], [0.07830000000000001]], "bitstrings": ["110101001", "001010110"], "total_optimization_steps": 10, "probabilities": [0.0023518480755437858, 0.0023518480755437858], "optimization_time": 2.9544031620025635} | 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000100", "011000110", "000111011", "011010110", "011010010", "011010100", "01... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[2];
rz(-0.0773) q[2];
cx q[7], q[2];
cx q[7], q[1];
rz(-0.0773) q[1];
cx q[7], q[1];
cx q[2], q[1];
rz(-0.0773) q[1];
cx q[2], q[1];
cx q[7], q[6];
rz(-0.0773) q[6];
cx q[7], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];... | null | {"circuits": [], "gradients": []} |
b2ad92d1453e889b732cbfcfd082cd41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [366, 234], "expectation_value": -19.089214946297666, "params": [[0.0369, 0.0011], [-0.076, -0.0412]], "bitstrings": ["010010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.005519744948082551, 0.006641384704826466], "optimization_time": 3.859896421432495} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[2];
rz(0.3321) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.3321) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.3321) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.3321) q[5];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
c95ed1d577a091daf1cfa1a90361dc85 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [126, 127], "expectation_value": -32.197640905323276, "params": [[[0.0022, -0.0027], [-0.0019, -0.0019], [-0.0037, 0.0024000000000000002], [-0.0019, 0.0027], [-0.0023, -0.0021000000000000003], [-0.0028, 3.0411], [-0.003, -0.0031000000000000003], [-0.0025, -0.0029000000000000002], [-0.0025, -0.0027], [0.0019,... | -3.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(7)) + 1.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5... | 15 | 12 | 1 | {"smallest_eigenvalues": [-35.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -34.5, "smallest_bitstrings": ["111110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0022) q[0];
ry(-0.0019) q[1];
ry(-0.0037) q[2];
ry(-0.0019) q[3];
ry(-0.0023) q[4];
ry(-0.0028) q[5];
ry(-0.003) q[6];
ry(-0.0025) q[7];
ry(-0.0025) q[8];
ry(0.0019) q[9];
ry(1.632) q[10];
ry(-0.0025) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], 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... | {"node": 5} | {"circuits": [], "gradients": []} |
1186103e935f6770b36dcaf31ab8cdf7 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [98, 97], "expectation_value": -4.819621799300961, "params": [0.6013000000000001, 0.0007, 0.6011000000000001, -0.0016, -0.0027, 0.32070000000000004, 0.0536, 0.4112, 0.0022, 0.35900000000000004, 0.5993, 0.38120000000000004, 0.599, 0.38320000000000004, 0.6007, 0.0008, 0.6061000000000001, -0.001, 0.002, 0.36560... | 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(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(2) + -1.0 * Z(0) + -1.5 *... | 3 | 7 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["0011101", "0011110", "1010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6013) q[0];
rz(0.0007) q[0];
rx(0.6011) q[1];
rz(-0.0016) q[1];
rx(-0.0027) q[2];
rz(0.3207) q[2];
rx(0.0536) q[3];
rz(0.4112) q[3];
rx(0.0022) q[4];
rz(0.359) q[4];
rx(0.5993) q[5];
rz(0.3812) q[5];
rx(0.599) q[6];
rz(0.3832) q[6];
crz(0.4097) 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": []} |
5faf92f81d9af9e15121150910117684 | 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": [126, 118], "expectation_value": -60.511897015566674, "params": [0.8446, 0.0047, 3.0996, 0.009000000000000001, 3.0852, 0.0051, 3.0872, 0.0078000000000000005, 1.5201, 0.0041, 3.0847, 0.00030000000000000003, 3.0973, 0.0037, -0.0021000000000000003, 0.0005, 0.0037, 0.0002, 0.0023, 0.0076, 0.0094, 0.0075000000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(6)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(4) @ Z(6)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(7) @ Z(1)) + 15.0 * Z(1) + 5.5 * Z(0) + 7.0 * Z(2) + 15.0 * Z(6) + 14.0 * Z(5) + 15.5 * Z(3... | 18 | 8 | 1 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8446) q[0];
rz(0.0047) q[0];
rx(3.0996) q[1];
rz(0.009) q[1];
rx(3.0852) q[2];
rz(0.0051) q[2];
rx(3.0872) q[3];
rz(0.0078) q[3];
rx(1.5201) q[4];
rz(0.0041) q[4];
rx(3.0847) q[5];
rz(0.0003) q[5];
rx(3.0973) q[6];
rz(0.0037) q[6];
rx(-0.0021) 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]}"} | {"circuits": [], "gradients": []} |
c207a7b4cd3f0efb0fa44764eec6604a | 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": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6647, 6615], "expectation_value": -44.796170897059476, "params": [0.7747, -0.0196, 0.7809, -0.0004, 0.0058000000000000005, 0.6155, 0.0033, 0.7563000000000001, 0.7756000000000001, -0.0034000000000000002, 0.7865000000000001, 0.007500000000000001, 0.79, 0.0005, 0.5912000000000001, 0.5057, 0.8467, 0.2948, -0.00... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 18 | 13 | 4 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000110000", "0011000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.7747) q[0];
rz(-0.0196) q[0];
rx(0.7809) q[1];
rz(-0.0004) q[1];
rx(0.0058) q[2];
rz(0.6155) q[2];
rx(0.0033) q[3];
rz(0.7563) q[3];
rx(0.7756) q[4];
rz(-0.0034) q[4];
rx(0.7865) q[5];
rz(0.0075) q[5];
rx(0.79) q[6];
rz(0.0005) q[6];
rx(0.5912) 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": 4} | {"circuits": [], "gradients": []} |
-4740364187824343306 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [1, 4, 5], [2, 3, 4], [0, 1, 4]]} | {"states": [39, 26], "expectation_value": -0.030788192311531633, "params": [[0.0709], [-0.0697]], "bitstrings": ["011000", "100101"], "total_optimization_steps": 10, "probabilities": [0.01639770427311088, 0.016399213792859964], "optimization_time": 1.5384299755096436} | 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(4... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4999999999999998, -1.4999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["100101", "011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(0.0709) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0236) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(0.0473) q[4];
cx q[1], q[4];
cx q[1], q[5];
rz(0.0236) q[5];
cx q[1], q[5];
cx q[4], q[5];
rz(0.0236... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x1) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(x2) q[4];
cx q[1], q[4];
cx ... | null | {"circuits": [], "gradients": []} |
-4717766636876772498 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 5], [0, 2, 3, 5, 6, 7, 9, 10], [0, 1, 2, 3, 4, 8, 9, 10, 11], [0, 3, 4, 7, 8, 9, 10, 11], [5, 7, 8, 9, 10], [0, 1, 2, 6, 7, 10, 11], [9, 7, 1, 6], [1, 2, 4, 7, 10, 11], [0, 1, 2, 3, 4, 5, 6, 7], [0, 1, 2, 5, 8, 9, 10]]} | {"states": [3997, 3869], "expectation_value": -1.8175356361321038, "params": [1.4933, 1.4891, 1.4575, 1.472, 1.4886000000000001, 1.4892, 1.4878, 1.4846000000000001, 0.4897, 0.6299, 0.26080000000000003, 0.23900000000000002, 0.6674, 0.8582000000000001, 1.4878, 1.4854, 1.487, 1.4847000000000001, 1.3259, 1.4862, 1.49050000... | 0.5 * (Z(11) @ Z(5)) + 0.05952380952380952 * (Z(0) @ Z(5)) + 0.05555555555555555 * (Z(0) @ Z(11)) + 0.05952380952380952 * (Z(2) @ Z(5)) + 0.07103174603174603 * (Z(2) @ Z(11)) + 0.09722222222222221 * (Z(2) @ Z(0)) + 0.03571428571428571 * (Z(3) @ Z(5)) + 0.031746031746031744 * (Z(3) @ Z(11)) + 0.06746031746031746 * (Z(3)... | 14 | 12 | 1 | {"smallest_eigenvalues": [-2.1976190476190474], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.1857142857142855, "smallest_bitstrings": ["000011100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.4933) q[0];
ry(1.4575) q[1];
ry(1.4886) q[2];
ry(1.4878) q[3];
ry(0.4897) q[4];
ry(0.2608) q[5];
ry(0.6674) q[6];
ry(1.4878) q[7];
ry(1.487) q[8];
ry(1.3259) q[9];
ry(1.4905) q[10];
ry(1.382) q[11];
crx(0.9823) q[11], q[0];
crx(0.9395) q[10], q[11];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6097584728090683732 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 4, 7], [0, 5, 6, 7], [2, 3, 6], [0, 3, 6, 7], [0, 4, 6], [1, 3, 4], [0, 3, 5], [2, 4, 5, 6, 7], [0, 1, 2, 5, 7], [1, 3, 6, 7], [0, 1, 2, 4]]} | {"states": [186, 185], "expectation_value": -2.532071775789277, "params": null, "bitstrings": ["01000101", "01000110"], "total_optimization_steps": 40, "probabilities": [0.0300059665119387, 0.9275462294900509], "optimization_time": 60.30657339096069} | 0.3333333333333333 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(7) @ Z(3)) + 0.3 * (Z(7) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.3 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(4)) + 0.18333333333333335 * (Z(5) @ Z(7)) + 0.3333333333333333 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5666666666666673], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.366666666666667, "smallest_bitstrings": ["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];
ry(1.5658) q[0];
ry(1.4745) q[3];
ry(0.854) q[2];
cry(-0.7351) q[7], q[6];
ry(0.6606) q[7];
cry(-0.6056) q[2], q[6];
cry(0.5589) q[0], q[7];
cry(0.4479) q[0], q[2];
cry(-0.4524) q[3], q[6];
cry(-0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5658) 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[... |
98ff52dd3a46eb29e6baf499c47cc739 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1,... | {"states": [357, 421], "expectation_value": -1.257131460783023, "params": [0.0135, 0.013000000000000001, 0.8256, 0.773, 1.1021, 0.6725, 0.7371000000000001, 0.6902, 0.7934, 0.7923, 0.0016, -0.0097, -0.002, 0.0006000000000000001, 0.7901, 0.7863, 0.0022, 0.0082, 0.7993, 0.7775000000000001, -0.0112, 0.004200000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + -0.0006944444444444446 * (Z(2) @ Z(0)) + -0.0006944444444444446 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006944444444444446 * (Z(4) @ Z(0)) + -0.0013888888888888892 * (Z(4) @ Z(2)) + -0.0006944444444444446 * (Z(5) @ Z(1)) + -0.0013888888888888892 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 13 | 10 | 2 | {"smallest_eigenvalues": [-1.261111111111112], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.2611111111111115, "smallest_bitstrings": ["1001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0135) q[0];
ry(0.8256) q[1];
ry(1.1021) q[2];
ry(0.7371) q[3];
ry(0.7934) q[4];
ry(0.0016) q[5];
ry(-0.002) q[6];
ry(0.7901) q[7];
ry(0.0022) q[8];
ry(0.7993) q[9];
crz(0.3555) q[9], q[0];
crz(-1.5896) q[8], q[9];
crz(0.1378) q[7], q[8];
crz(0.9485) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
af1426b93324259832bd09f6b200fbec | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -11.014159715262224, "params": [[[0.0034000000000000002, -0.1316], [0.0047, 0.0021000000000000003], [0.0019, 0.0021000000000000003], [0.0041, 0.002], [0.0076, 0.0021000000000000003], [0.0051, 0.0022], [0.0058000000000000005, 0.0025], [0.0041, 0.0025], [0.0044, 0.0274], [1.589... | -0.75 * (Z(0) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(9) @ Z(1)) + -0.5 * (Z(9) @ Z(4)) + -0.75 * (Z(2) @ Z(7)) + -0.25 * (Z(2)... | 15 | 10 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.75, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0034) q[0];
ry(0.0047) q[1];
ry(0.0019) q[2];
ry(0.0041) q[3];
ry(0.0076) q[4];
ry(0.0051) q[5];
ry(0.0058) q[6];
ry(0.0041) q[7];
ry(0.0044) q[8];
ry(1.5895) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
13897d244e0881b4447dd2a9a298bf14 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [90, 27], "expectation_value": -4.499883759182657, "params": null, "bitstrings": ["0100101", "1100100"], "total_optimization_steps": 31, "probabilities": [1.6413751077527094e-05, 0.9999151790903411], "optimization_time": 28.186935663223267} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(6) + -1.0 * Z(1) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[1];
ry(-1.5681) q[4];
ry(-1.4449) q[0];
ry(1.4449) q[5];
ry(1.4449) q[3];
ry(1.4417) q[6];
ry(1.4417) q[2];
cry(-0.1259) q[6], q[0];
cry(0.1217) q[5], q[2];
cry(0.1216) q[2], q[6];
cry(0.118... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [7, 13], "expectation_value": -0.743171925089454, "params": [[0.0495], [-0.038400000000000004]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.017286873117343136, 0.017347545208300775], "optimization_time": 1.709160327911377} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 18 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.1733) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1733) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1733) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.1733) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1733... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0... | {"k": 3} | {"circuits": [], "gradients": []} |
ed17940d27aebadda70c31c5b11d2e16 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [208, 209], "expectation_value": -2.4305244826882086, "params": [0.4939, 0.0031000000000000003, 0.5027, 0.0021000000000000003, 0.4979, -0.0018000000000000002, 0.5084000000000001, -0.0123, 0.2898, -0.1005, 0.22490000000000002, -0.1183, 0.2787, 0.005200000000000001, 0.5031, -0.0012000000000000001, 0.4870000000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.0 * 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) + -0.5 * Z(7) | 4 | 8 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["00101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4939) q[0];
rz(0.0031) q[0];
rx(0.5027) q[1];
rz(0.0021) q[1];
rx(0.4979) q[2];
rz(-0.0018) q[2];
rx(0.5084) q[3];
rz(-0.0123) q[3];
rx(0.2898) q[4];
rz(-0.1005) q[4];
rx(0.2249) q[5];
rz(-0.1183) q[5];
rx(0.2787) q[6];
rz(0.0052) q[6];
rx(0.5031) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -5.540108055507038, "params": [[-0.0473, -0.047900000000000005, -0.0618, -0.026600000000000002], [0.0636, 0.057600000000000005, 0.0711, 0.0521]], "bitstrings": ["11111110", "10011110"], "total_optimization_steps": 10, "probabilities": [0.019219606345725317, 0.022342437746205354]... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"]} | 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(0.0473) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.1183) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0473) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(0.2365) q[2];
cx q[1], q[2];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [52, 21], "expectation_value": -2.4964491610978103, "params": null, "bitstrings": ["001011", "101010"], "total_optimization_steps": 22, "probabilities": [0.06701277438190029, 0.9297056987717313], "optimization_time": 12.295014381408691} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4449) q[4];
ry(-1.4449) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-1.0398) q[5], q[0];
ry(0.7022) q[5];
cry(-0.1259) q[3], q[2];
ry(-0.4578) q[0];
cry(0.4969) q[3], q[5];
cry(-0.3761) q[3], q[0];
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(-1.4449) 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... |
683817228430363921 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 7], [3, 4, 5], [2, 4, 5, 7, 9], [1, 2, 4, 7, 8, 9], [0, 4, 5, 7, 8], [8, 9, 4, 5], [8, 1, 4, 6], [1, 2, 4, 5, 7, 8], [9, 2, 5, 6], [4, 5, 6, 7, 9], [0, 3, 5], [1, 2, 3, 5, 7, 9], [1, 4, 5, 6, 9], [1, 2, 3, 6, 8, 9], [0, 1, 3, 4, 7], [3, 4, 6, 7, 8, 9], ... | {"states": [995, 747], "expectation_value": -2.932256264068741, "params": [[0.2727], [-0.2614]], "bitstrings": ["0000011100", "0100010100"], "total_optimization_steps": 30, "probabilities": [0.0034033016275016674, 0.0035140129904904197], "optimization_time": 11.882264137268066} | 0.3 * (Z(0) @ Z(2)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.41666666666666663 * (Z(3) @ Z(0)) + 0.2333333333333333 * (Z(7) @ Z(2)) + 0.3 * (Z(7) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3 * (Z(4) @ Z(0)) + 0.2833333333333333 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.466666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.449999999999998, "smallest_bitstrings": ["0100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[0];
rz(0.1636) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1273) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2272) q[3];
cx q[0], q[3];
cx q[2], q[7];
rz(0.1273) q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 4}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "... | {"states": [1385, 1386], "expectation_value": -1.2852984892678718, "params": null, "bitstrings": ["101010010110", "101010010101"], "total_optimization_steps": 100, "probabilities": [0.037568149246219706, 0.4904646177515497], "optimization_time": 288.88791012763977} | 0.25 * (Z(0) @ Z(1)) + -0.0006835937500000001 * (Z(2) @ Z(0)) + -0.0006835937500000001 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009765625 * (Z(4) @ Z(0)) + -0.0009765625 * (Z(4) @ Z(2)) + -0.0009765625 * (Z(5) @ Z(1)) + -0.0009765625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00087890625 * (Z(6) @ Z(0)) + -0.000683... | 5 | 12 | 1 | {"smallest_eigenvalues": [-1.5167968749999998, -1.5167968749999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5070312500000003, "smallest_bitstrings": ["101010010101", "010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(-0.5945) q[8], q[9];
cry(-0.5949) q[6], q[7];
cry(-0.5945) q[3], q[2];
cry(-0.5949) q[1], q[0];
cry(-0.5946) q[5], q[4];
cry(-0.5946) q[10], q[11];
cry(-0.3... | null | {"communities_size": 3, "number_of_communities": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(-0.5945) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
9c729b5be0000eb0159eb9ac078568bd | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [510, 508], "expectation_value": -3.644864252698518, "params": [[-0.0829], [0.0796]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.004202226899071598, 0.004212004293398229], "optimization_time": 3.679438591003418} | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + 1.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(2) @ Z(4)) + -3.5 * (Z(2) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -3.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["000000011"]} | 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(0.5803) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.1658) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.4145) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.1658) q[5];
cx q[1], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 8} | {"circuits": [], "gradients": []} |
93f5686fd39e6a6c4d9331c2d208db96 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 63], "expectation_value": -32.04733165175465, "params": [[[0.0024000000000000002, 0.0053], [0.0024000000000000002, 0.0094], [0.0022, 0.0071], [-1.6189, 0.0025], [0.0024000000000000002, 0.0012000000000000001], [0.0025, 0.002], [0.0023, 0.0053], [0.0026000000000000003, 0.008], [0.0024000000000000002, 0.... | -2.5 * (Z(1) @ Z(2)) + -2.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.0 * (Z(8) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(8)) + 1.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(4)) + -3.0... | 2 | 10 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["1111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0024) q[0];
rz(0.0053) q[0];
rx(0.0024) q[1];
rz(0.0094) q[1];
rx(0.0022) q[2];
rz(0.0071) q[2];
rx(-1.6189) q[3];
rz(0.0025) q[3];
rx(0.0024) q[4];
rz(0.0012) q[4];
rx(0.0025) q[5];
rz(0.002) q[5];
rx(0.0023) q[6];
rz(0.0053) q[6];
rx(0.0026) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} |
747de4cdf6f4d8e013f44791f51c504b | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [650, 651], "expectation_value": -81.56376448812274, "params": [[[0.6857000000000001, 0.0623], [0.7031000000000001, 0.0981], [0.10300000000000001, 0.14700000000000002], [0.6952, 0.1675], [0.0572, 0.1874], [0.49360000000000004, -0.0122], [0.09720000000000001, 0.0135], [0.6934, 0.2182], [0.1595, 0.2792], [0.03... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(5)) + 3.5 * Z(2) + 8.5 * Z(1) + 17.0 * Z(3) + 4.0 * Z(4) + 1.5 * Z(5) + 7.5 * Z(7) + 1.0 * Z(6) + 10.0 *... | 15 | 11 | 4 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.5, "smallest_bitstrings": ["10101110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6857) q[0];
ry(0.7031) q[1];
ry(0.103) q[2];
ry(0.6952) q[3];
ry(0.0572) q[4];
ry(0.4936) q[5];
ry(0.0972) q[6];
ry(0.6934) q[7];
ry(0.1595) q[8];
ry(0.0328) q[9];
ry(0.6816) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-4376730360070844524 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [0, 1], [1, 3, 5], [3, 4], [0, 6]]} | {"states": [53, 57], "expectation_value": -2.121625080673516, "params": null, "bitstrings": ["1001010", "1000110"], "total_optimization_steps": 44, "probabilities": [0.04956132471336984, 0.8200761357681932], "optimization_time": 35.32110285758972} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.16666666666666663 * Z(1) + 0.16666666666666663 * Z(3) + 0.16666666666666666 * Z(5) + 0.0 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.3333333333333335, -2.3333333333333335, -2.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0110101", "1000110", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[0];
ry(1.3116) q[1];
cry(-0.705) q[2], q[0];
ry(1.0152) q[6];
cry(1.1522) q[6], q[2];
ry(-0.5004) q[0];
cry(-1.0342) q[3], q[4];
ry(0.7112) q[3];
ry(-0.4643) q[4];
cry(0.4908) q[1], q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], 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... |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [3839, 3327], "expectation_value": -25.513522340747542, "params": [0.31720000000000004, -0.0027, 0.30610000000000004, -0.0085, -0.14250000000000002, 0.0224, -0.2556, 0.011600000000000001, 0.452, 0.0022, 0.4777, 0.0001, 0.49160000000000004, -0.0103, 0.49810000000000004, -0.017400000000000002, 0.48660000000000... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 6 | 14 | 2 | {"smallest_eigenvalues": [-27.833333333333044], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333266, "smallest_bitstrings": ["11001100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.3172) q[0];
rz(-0.0027) q[0];
rx(-0.1425) q[1];
rz(0.0224) q[1];
rx(0.452) q[2];
rz(0.0022) q[2];
rx(0.4916) q[3];
rz(-0.0103) q[3];
rx(0.4866) q[4];
rz(-0.0034) q[4];
rx(0.473) q[5];
rz(0.002) q[5];
rx(0.4853) q[6];
rz(-0.0146) q[6];
rx(0.4955) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [32, 1], "expectation_value": -1.6853478295844782, "params": [[0.07390000000000001, 0.06570000000000001, -0.037700000000000004], [-0.0811, -0.075, -0.0251]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.03038020810406649, 0.03121352531776262], "optimization_time": 3... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000", "111110", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.1109) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.1478) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(-0.1109) q[2];
cx q[5], q[2];
cx q[3], q[1];
rz(-0.1109) q[1];
cx q[3], q[1];
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] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
62ca4fdc3f835f51dee1780376d2bf19 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [50, 38], "expectation_value": -0.19630506462353067, "params": [[0.0707], [-0.0756]], "bitstrings": ["001101", "011001"], "total_optimization_steps": 10, "probabilities": [0.017663197883111426, 0.017663197883111433], "optimization_time": 1.1124210357666016} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0707) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.0707) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0707) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0707) q[1];
cx q[2], q[1];
cx q[5], q[3];
rz(0.0707... | 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[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
2df93713dba52fbc8f2926f6b2fd57be | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 3, ... | {"states": [29, 31], "expectation_value": -5.8546769839357795, "params": null, "bitstrings": ["11100010", "11100000"], "total_optimization_steps": 40, "probabilities": [0.41767691116306144, 0.419333279531861], "optimization_time": 32.411768674850464} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + 1.0 * (Z(7) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(4) @ Z(7)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(2) + 0.0 * Z(7) + 1.0 * Z(3) + 0.75 * Z(4) + 0.25 * Z(5) + 0.0 * Z(6) | 1 | 8 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["11100110", "11100000", "11100010"]} | 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(-1.5706) q[2];
ry(1.5486) q[4];
cry(-1.5486) q[7], q[0];
ry(1.1286) q[7];
cry(1.5582) q[7], q[3];
ry(-1.5486) q[1];
cry(-0.6137) q[3], q[0];
ry(1.4448) q[5];
cry(0.2613) q[3], q[7];
cry(-0.0776... | 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(-1.5706) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
16e531ebd5c4fa365456c9500ea8e716 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [11, 49], "expectation_value": -0.5831675745598954, "params": [[-0.0327, -0.0455, -0.0521], [0.0373, 0.0499, 0.054]], "bitstrings": ["1110100", "1001110"], "total_optimization_steps": 10, "probabilities": [0.010488332036498519, 0.01049580606698639], "optimization_time": 9.021804571151733} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001110", "1010110", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0327) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0327) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0327) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0327) q[5];
cx q[1], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
70084b84ab6bcd1923895c004533d5a8 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, ... | {"states": [930, 938], "expectation_value": -1.9918007175718841, "params": [1.1046, -0.0037, 1.099, 0.0026000000000000003, 1.1108, 0.0016, -0.0066, -0.0198, 1.1051, 0.005, 0.4984, -0.3114, 0.8586, -0.3103, 0.2549, 0.4474, 1.0989, 0.2899, 0.5226000000000001, 0.3766, 1.1011, 0.0007, 1.0983, 0.0082, 1.1108, 0.003600000000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 16 | 10 | 2 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["0001101100", "0101010010", "1001000101", "0001010110", "0001010101", "0001001101", "0001011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.1046) q[0];
rz(-0.0037) q[0];
rx(1.099) q[1];
rz(0.0026) q[1];
rx(1.1108) q[2];
rz(0.0016) q[2];
rx(-0.0066) q[3];
rz(-0.0198) q[3];
rx(1.1051) q[4];
rz(0.005) q[4];
rx(0.4984) q[5];
rz(-0.3114) q[5];
rx(0.8586) q[6];
rz(-0.3103) q[6];
rx(0.2549) 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": []} |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [49, 19], "expectation_value": -2.610994139215178, "params": null, "bitstrings": ["1001110", "1101100"], "total_optimization_steps": 26, "probabilities": [0.10413244479778992, 0.8723021466845519], "optimization_time": 35.8737256526947} | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (Z(4) @ Z(0) @ Z(2)) + -0.125 * (Z(6) @ Z(0) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.625, "smallest_bitstrings": ["1001110", "1010110", "1100110", "1100101", "1101100"]} | 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(-1.5158) q[0];
ry(-1.445) q[4];
cry(-1.3016) q[5], q[1];
ry(1.2945) q[2];
ry(1.0342) q[6];
cry(-0.9947) q[6], q[3];
ry(0.6605) q[5];
ry(-0.5011) q[3];
cry(0.4273) q[2], q[6];
cry(0.2526) q[6], q[2];
ry... | 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(-1.5158) 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", ... |
8c44c442a25e00dfae4e1647b2faf79f | kclique | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [6, 3], "expectation_value": -4.107138272373518, "params": [[-0.07200000000000001, -0.055400000000000005, -0.050800000000000005], [0.07980000000000001, 0.0742, 0.0732]], "bitstrings": ["11001", "11100"], "total_optimization_steps": 10, "probabilities": [0.06945953221582965, 0.07446195085970435], "optimizatio... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 1.75 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.5 * Z(4) | 6 | 5 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.252) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.252) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.252) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.288) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.288) 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] 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... | {"k": 3} | {"circuits": [], "gradients": []} |
5d474162f07dfb1b3248afb7c4b90a85 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, ... | {"states": [17, 3], "expectation_value": -15.444975537207485, "params": [[-0.0362, 0.051800000000000006, 0.0298, 0.0165], [0.07350000000000001, -0.038, -0.038700000000000005, -0.0434]], "bitstrings": ["1101110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.015863483264873135, 0.016992194524993304], "... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 2.75 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 13 | 7 | 4 | {"smallest_eigenvalues": [-30.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.75, "smallest_bitstrings": ["1111100"]} | 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(-0.1991) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1991) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1991) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1991) 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
5485656486770846592 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[2, 3, 4, 5, 6, 8], [10, 11, 5], [0, 2, 7, 10, 11], [0, 2, 3, 6], [2, 13, 5], [0, 1, 2, 3, 4, 5, 8, 9, 10, 12], [0, 1, 7, 9, 12, 13], [1, 3, 6, 7, 11, 12, 13], [3, 4, 6, 7, 8, 9, 10, 12]]} | {"states": [7674, 7642], "expectation_value": -1.990303289652039, "params": [0.0025, 1.4906000000000001, 2.7994000000000003, -0.0026000000000000003, 3.0938000000000003, 0.0025, 3.144, 0.2984, -0.0029000000000000002, 0.8468, 2.2362, -0.0023, 2.5206, 0.0028, 3.1471, -0.0004, 3.732, -0.0026000000000000003, 3.0097, 0.0025,... | 0.12777777777777777 * (Z(2) @ Z(3)) + 0.0623015873015873 * (Z(4) @ Z(3)) + 0.044444444444444446 * (Z(4) @ Z(2)) + 0.044444444444444446 * (Z(5) @ Z(3)) + 0.21111111111111108 * (Z(5) @ Z(2)) + 0.044444444444444446 * (Z(5) @ Z(4)) + 0.15833333333333333 * (Z(6) @ Z(3)) + 0.11666666666666667 * (Z(6) @ Z(2)) + 0.051190476190... | 4 | 14 | 1 | {"smallest_eigenvalues": [-2.0523809523808816], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0345238095236606, "smallest_bitstrings": ["10001000100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.0025) q[0];
rz(1.4906) q[0];
rx(2.7994) q[1];
rz(-0.0026) q[1];
rx(3.0938) q[2];
rz(0.0025) q[2];
rx(3.144) q[3];
rz(0.2984) q[3];
rx(-0.0029) q[4];
rz(0.8468) q[4];
rx(2.2362) q[5];
rz(-0.0023) q[5];
rx(2.5206) q[6];
rz(0.0028) q[6];
rx(3.1471) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-3112968704458518572 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[9, 5, 6], [8, 9, 4, 1], [0, 2, 3, 6, 7, 10], [2, 3, 4], [9, 10, 3, 7], [10, 5], [1, 2], [0, 1, 3, 4, 8, 10], [0, 3, 4, 7, 8, 9], [0, 9, 4, 5], [2, 4, 6, 7, 9, 10], [9, 3, 5], [0, 8, 6], [0, 9, 6], [2, 4, 5, 7, 8], [0, 3, 5], [0, 9, 10], [8, 10, 7], [1, 5], [... | {"states": [1326, 1390], "expectation_value": -4.0691274515840545, "params": [[1.5792000000000002, -0.019200000000000002, 1.6005, 0.4153, 0.09480000000000001, 1.574, 0.1153, 1.5797, 0.1537, 1.5848, 0.09820000000000001], [1.5853000000000002, 0.5755, 1.4197, 0.9890000000000001, 1.5944, 1.578, 0.9736, 1.5829, 1.6014000000... | 0.41666666666666663 * (Z(9) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.36666666666666664 * (Z(6) @ Z(9)) + 0.05 * (Z(8) @ Z(5)) + 0.11666666666666667 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(5)) + 0.23333333333333334 * (Z(4) @ Z(9)) + 0.03333333333333333 * (Z(4) @ Z... | 10 | 11 | 1 | {"smallest_eigenvalues": [-5.3999999999999995], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.133333333333334, "smallest_bitstrings": ["01010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5792) q[0];
ry(-0.0192) q[1];
ry(1.6005) q[2];
ry(0.4153) q[3];
ry(0.0948) q[4];
ry(1.574) q[5];
ry(0.1153) q[6];
ry(1.5797) q[7];
ry(0.1537) q[8];
ry(1.5848) q[9];
ry(0.0982) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
857e65bd5af79cea0e3b06ea35e9b80e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [126, 63], "expectation_value": -2.4930213319045365, "params": [[-0.0548, -0.0601, -0.0432, -0.033], [0.0623, 0.0737, 0.0673, 0.0558]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.02090218924587317, 0.024504320015251543], "optimization_time": 9.588099718093872} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1100000", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0274) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0822) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0822) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0822) q[1];
cx q[2], q[1];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] 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": []} |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 12], "expectation_value": -1.9998648604775686, "params": null, "bitstrings": ["1111", "0011"], "total_optimization_steps": 13, "probabilities": [1.9001409473807688e-05, 0.9999183586751094], "optimization_time": 4.187524318695068} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.4449) q[2];
ry(-1.4449) q[3];
ry(1.4384) q[1];
ry(1.4384) q[0];
cry(-0.1259) q[1], q[2];
cry(-0.1259) q[1], q[3];
cry(0.1248) q[1], q[0];
cry(0.1242) q[0], q[1];
cry(-0.0005) q[0], q[2];
c[0] = measure q[0];
c[1] = measure... | 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(-1.4449) q[2];\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];\... |
7d8c120b950f82240c2b01ae7c753ace | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [414, 255], "expectation_value": -1.0442121630711365, "params": [[0.0661, 0.0263], [-0.0635, -0.035500000000000004]], "bitstrings": ["001100001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0030138393632378356, 0.003143122124464422], "optimization_time": 4.032064437866211} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100001000", "100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[0];
rz(-0.0331) q[0];
cx q[6], q[0];
cx q[0], q[8];
rz(0.0661) q[8];
cx q[0], q[8];
cx q[6], q[1];
rz(-0.0331) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(-0.0992) q[4];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
24ec85ceb3f94374e977a871ddcf35bc | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [35, 44], "expectation_value": -1.1963986217972138, "params": [[0.076, 0.07050000000000001, 0.07970000000000001, 0.0777], [-0.0823, -0.0645, -0.0748, -0.0751]], "bitstrings": ["011100", "010011"], "total_optimization_steps": 10, "probabilities": [0.03543960969567025, 0.03659987263765273], "optimization_time"... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "011100", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.076) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.076) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.076) q[3];
cx q[1], q[3];
cx q[1], q[5];
rz(0.076) q[5];
cx q[1], q[5];
cx q[2], q[5];
rz(0.076) 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": []} |
c82c0abff7ad6b1ef89e7179084bee60 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [169, 41], "expectation_value": -5.034185282286541, "params": [[[0.3907, 0.0049], [-0.0017000000000000001, 0.19310000000000002], [0.3987, 0.0057], [-0.0173, -0.21530000000000002], [0.4051, 0.0004], [-0.0073, -0.19260000000000002], [0.0013000000000000002, -0.19440000000000002], [0.39830000000000004, 0.0011]],... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["11010110", "00111101", "01110110", "01110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3907) q[0];
rz(0.0049) q[0];
rx(-0.0017) q[1];
rz(0.1931) q[1];
rx(0.3987) q[2];
rz(0.0057) q[2];
rx(-0.0173) q[3];
rz(-0.2153) q[3];
rx(0.4051) q[4];
rz(0.0004) q[4];
rx(-0.0073) q[5];
rz(-0.1926) q[5];
rx(0.0013) q[6];
rz(-0.1944) q[6];
rx(0.3983) 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": []} |
0c36283121e8c25f75256b89b8ad4f89 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -19.105953434847855, "params": [0.6215, 0.058100000000000006, 0.657, -0.085, -0.5534, 0.2858, -0.3179, 0.0448, 0.0029000000000000002, 1.1911, 0.0032, 1.1792, 0.0019, 0.9385, 0.0025, 1.0490000000000002, -0.0023, 0.7047, 0.0016, 0.7539, -0.1275, 0.6889000000000001, 0.0819, 0.8912... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + 1.5 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(2)) + -2.5 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + -2.5 * (Z(7) @ Z(4)) + -3.5 * (Z(8) @ Z(3)) + 1.5 * (Z(8) @ Z(2)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 *... | 6 | 9 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6215) q[0];
rz(0.0581) q[0];
rx(-0.5534) q[1];
rz(0.2858) q[1];
rx(0.0029) q[2];
rz(1.1911) q[2];
rx(0.0019) q[3];
rz(0.9385) q[3];
rx(-0.0023) q[4];
rz(0.7047) q[4];
rx(-0.1275) q[5];
rz(0.6889) q[5];
rx(0.1656) q[6];
rz(0.5858) q[6];
rx(0.0269) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
f9af8808d19e982b1988ff6e936d9ed3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 18, "source": 1, "target": 8}, {"weight": 20, "source": 1, "target": 3}, {"weight":... | {"states": [500, 436], "expectation_value": -92.9279290559793, "params": [0.09860000000000001, 0.1971, 0.09580000000000001, 0.197, 0.49260000000000004, 0.0374, 0.4904, 0.0224, 0.4937, -0.0032, 0.4995, -0.0029000000000000002, 0.2666, 0.11420000000000001, 0.26780000000000004, 0.11230000000000001, 0.49410000000000004, 0.0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(6) @ Z(7)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) ... | 7 | 10 | 3 | {"smallest_eigenvalues": [-110.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -98.5, "smallest_bitstrings": ["1001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0986) q[0];
rz(0.1971) q[0];
rx(0.4926) q[1];
rz(0.0374) q[1];
rx(0.4937) q[2];
rz(-0.0032) q[2];
rx(0.2666) q[3];
rz(0.1142) q[3];
rx(0.4941) q[4];
rz(0.0232) q[4];
rx(0.4901) q[5];
rz(-0.0033) q[5];
rx(0.266) q[6];
rz(0.1197) q[6];
rx(0.4981) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -22.804838226503335, "params": [-0.3985, 1.0625, -0.32320000000000004, 0.8596, -0.2449, 0.9597, -0.4167, 0.7719, -0.4078, 0.30710000000000004, -0.3972, 0.6617000000000001, -0.5044000000000001, -0.16440000000000002, -0.4898, 0.14650000000000002, -0.0019, 0.775, 0.002400000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.3985) q[0];
rz(1.0625) q[0];
rx(-0.2449) q[1];
rz(0.9597) q[1];
rx(-0.4078) q[2];
rz(0.3071) q[2];
rx(-0.5044) q[3];
rz(-0.1644) q[3];
rx(-0.0019) q[4];
rz(0.775) q[4];
rx(0.006) q[5];
rz(0.3276) q[5];
rx(-0.0033) q[6];
rz(0.8667) q[6];
rx(-0.0043) 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... | {"node": 7} | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -0.3533879422867684, "params": [[0.0732], [-0.0596]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009613062965160766, 0.009876480024053934], "optimization_time": 3.178711414337158} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0732) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0732) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0732) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0366) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
e98b53e0167756e0364419ca81191dd8 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [96, 120], "expectation_value": -4.999934068931291, "params": null, "bitstrings": ["0011111", "0000111"], "total_optimization_steps": 33, "probabilities": [1.383465500065299e-05, 0.9999481801794438], "optimization_time": 26.56576371192932} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(-1.5681) q[6];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[2], q[3];
cry(0.1188) q[3], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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];\nc[6] = measure q[6];\n", ... |
-7113729499938187556 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [0, 5], [2, 5], [4, 5], [1, 4], [1, 5], [2, 4], [2, 3]]} | {"states": [56, 24], "expectation_value": -1.7730627913513342, "params": null, "bitstrings": ["000111", "100111"], "total_optimization_steps": 35, "probabilities": [0.19538578465410006, 0.4991458119822468], "optimization_time": 26.758620023727417} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0, "smallest_bitstrings": ["111000", "110110", "100111", "100110", "001001", "000111", "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];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[2], q[3];
ry(1.0293) q[2];
ry(-0.6992) q[3];
cry(-0.6534) q[1], q[5];
ry(1.0459) q[1];
cry(-1.0743) q[2], q[4];
cry(0.3488) q[1], q[2];
cry(0.3742) q[2], q[1];
cry(-0.4821)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
abfbe99ad8a7b3ce3391f1e624bdf663 | 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": 7, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 9}, {"capac... | {"states": [1022, 511], "expectation_value": -17.469164515763662, "params": [[[0.0152, 0.8331000000000001], [-0.0033, -0.018600000000000002], [-0.0014, -0.0024000000000000002], [-0.0027, -0.002], [0.0007, -0.003], [-0.0024000000000000002, -0.0032], [-0.0026000000000000003, -0.0031000000000000003], [0.0047, -0.006200000... | -1.75 * (Z(0) @ Z(5)) + -1.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -2.5 * (Z(2) @ Z(1)) + 2.0 * (Z(9) @ Z(0)) + -1.5 * (Z(9) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(9)) + -1.5 * (Z(6) @ Z(3)) + -1.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(3)) + -1.0 * (Z(8) @ Z(6)) + -1.25 * (Z(4) @ ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["1000000000", "1000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0152) q[0];
ry(-0.0033) q[1];
ry(-0.0014) q[2];
ry(-0.0027) q[3];
ry(0.0007) q[4];
ry(-0.0024) q[5];
ry(-0.0026) q[6];
ry(0.0047) q[7];
ry(-0.0075) q[8];
ry(0.0262) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-1730963572985351310 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 3], [1, 3]]} | {"states": [1, 14], "expectation_value": -0.031773209819976514, "params": [[-0.0775], [0.0695]], "bitstrings": ["1110", "0001"], "total_optimization_steps": 10, "probabilities": [0.06648939281957636, 0.06648939281957636], "optimization_time": 0.3120715618133545} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.5, -1.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.5, "smallest_bitstrings": ["1110", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(-0.0775) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(-0.0775) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.0775) q[1];
cx q[3], q[1];
rz(0) q[3];
rz(0) q[2];
rz(0) q[0];
rz(0) q[1];
h q[0];
rz(0.139) q[0];
h q[0];
h q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
rz(x1) q[3];
rz(x1) q[2];
rz(x1) q[0];
... | null | {"circuits": [], "gradients": []} |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [102, 25], "expectation_value": -0.5513963302833846, "params": [[0.0671, 0.06280000000000001], [-0.060500000000000005, -0.056400000000000006]], "bitstrings": ["0011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.010322495112602071, 0.010975585231612139], "optimization_time": 3.167483091... | 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(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011101", "1010101", "1011001", "1100101", "1100110"]} | 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(0.0671) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0671) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0671) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0671) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
8408687869260265012 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [2, 4], [8, 1], [3, 7], [0, 6], [1, 7], [5, 6], [0, 2], [0, 3], [2, 3, 5], [4, 7], [1, 4, 5]]} | {"states": [408, 440], "expectation_value": -0.14741834775017226, "params": [[0.0791], [-0.0864]], "bitstrings": ["001100111", "001000111"], "total_optimization_steps": 10, "probabilities": [0.0023812088017583686, 0.0023999082758578948], "optimization_time": 7.268807411193848} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(0.0791) q[5];
cx q[7], q[5];
cx q[5], q[2];
rz(0.0264) q[2];
cx q[5], q[2];
cx q[7], q[4];
rz(0.0791) q[4];
cx q[7], q[4];
cx q[5], q[4];
rz(0.0264) q[4];
cx q[5], 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[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[5], q[2];
rz(x1) q[2];
cx q[5], q[2];
cx... | null | {"circuits": [], "gradients": []} |
0fbf7e9662738f1a44b3cf8b0835e888 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 7}, {"weight": 16, "source": 1, "target": 5}, {"weight": 10, "sourc... | {"states": [229, 213], "expectation_value": -12.842412100915098, "params": [[-0.0459, -0.0151], [0.0645, 0.0519]], "bitstrings": ["100011010", "100101010"], "total_optimization_steps": 10, "probabilities": [0.006482616271761749, 0.007287425931848513], "optimization_time": 3.1803736686706543} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + 18.0 * Z(2) + 2.5 * Z(0) + 13.0 * Z(1) + 8.5 * Z(4) + 0.0 * Z(3) + 0.5 * Z(5) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.459) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.459) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.459) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(-0.459) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
b2a86e79e509d0d76748a475959a4d60 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 6}, {"weight": 13, "source": 1, "target": 3}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [117, 109], "expectation_value": -41.004218316278234, "params": null, "bitstrings": ["10001010", "10010010"], "total_optimization_steps": 100, "probabilities": [0.07928601898643785, 0.4494797943354079], "optimization_time": 182.5784876346588} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(2) +... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(34.778) q[4];
ry(-0.2874) q[1];
ry(-19.9672) q[5];
ry(0.2906) q[7];
cry(-15.4417) q[7], q[4];
cry(-15.6787) q[7], q[1];
ry(1.8924) q[2];
ry(1.3648) q[3];
ry(0.0504) q[6];
cry(0.0242) q[3], q[6]... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) 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[... |
c5b30b94cad3afd2b2d3cf8b55cce16a | 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": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [47, 7], "expectation_value": -15.708511535834244, "params": null, "bitstrings": ["11010000", "11111000"], "total_optimization_steps": 67, "probabilities": [0.12393977867550218, 0.6829558389196597], "optimization_time": 92.80445384979248} | -0.75 * (Z(0) @ Z(1)) + -2.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -1.5 * (Z(4) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(4)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.75 * (Z(7) @ Z(5)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.25 * (Z(3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-18.25, -18.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.25, "smallest_bitstrings": ["11111000", "11101000"]} | 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(1.2796) q[6];
ry(1.5709) q[5];
cry(1.5708) q[6], q[7];
cry(-1.5708) q[7], q[0];
cry(-1.5708) q[5], q[2];
cry(-1.2886) q[5], q[1];
ry(-0.0628) q[1];
cry(-1.1102) q[7], q[6];
cry(0.007) q[5], 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(1.2796) 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[... |
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": 17.221124410629272} | 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 | 2 | {"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... |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -1.840315882353137, "params": [[0.0813], [-0.0868]], "bitstrings": ["11111110", "10011110"], "total_optimization_steps": 10, "probabilities": [0.007213392097002817, 0.007418719722418605], "optimization_time": 5.052408456802368} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"]} | 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(-0.0813) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.2032) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(-0.0813) q[6];
cx q[0], q[6];
cx q[1], q[2];
rz(-0.4065) q[2];
cx q[1], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3122488136443101094 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 3, 4, 6, 7, 8, 10, 11], [1, 9], [2, 7], [5, 7]]} | {"states": [1978, 2042], "expectation_value": -1.6500370782920015, "params": [[[0.5254, 0.6622, 0.0027, 0.0021000000000000003], [-0.0103, 0.6622, 0.0085, 0.003], [1.5816000000000001, 0.0035, 1.5809, 0.0002], [1.0544, 0.6506000000000001, -0.1208, 0.0013000000000000002], [1.5785, -0.0024000000000000002, 1.58, 0.004200000... | 0.017857142857142856 * (Z(0) @ Z(5)) + 0.017857142857142856 * (Z(6) @ Z(5)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857142857142856 * (Z(8) @ Z(5)) + 0.017857142857142856 * (Z(8) @ Z(0)) + 0.017857142857142856 * (Z(8) @ Z(6)) + 0.017857142857142856 * (Z(9) @ Z(5)) + 0.017857142857142856 * (Z(9) @ Z(0)) + 0.017857... | 11 | 12 | 1 | {"smallest_eigenvalues": [-1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, -1.6785714285714286, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.5254) q[0];
rz(0.6622) q[0];
ry(-0.0103) q[1];
rz(0.6622) q[1];
ry(1.5816) q[2];
rz(0.0035) q[2];
ry(1.0544) q[3];
rz(0.6506) q[3];
ry(1.5785) q[4];
rz(-0.0024) q[4];
ry(1.1803) q[5];
rz(0.6097) q[5];
ry(1.5784) q[6];
rz(0.0035) q[6];
ry(0.019) 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": []} |
6468206389165533645 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [1, 2], [3, 6], [6, 7], [0, 6], [2, 7], [8, 3], [2, 5], [0, 8], [0, 1], [1, 5], [1, 3], [1, 6], [3, 4]]} | {"states": [364, 356], "expectation_value": -3.6033026230708103, "params": null, "bitstrings": ["010010011", "010011011"], "total_optimization_steps": 66, "probabilities": [0.16717032037161775, 0.632378621620282], "optimization_time": 114.71042680740356} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(7) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101010", "010010011", "101100000", "101101100", "011010101", "010011111", "101100100", "101101000", "010011011", "010010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[6], q[1];
cry(-1.0342) q[3], q[7];
ry(1.0293) q[6];
cry(1.4052) q[6], q[2];
cry(-0.9035) q[2], q[1];
cry(-0.7688) q[6], q[7];
ry(1.2774) q[3];
cry(-1.407) q[3], q[8];
ry(1.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[6], 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... |
ad2c8808e4e24f79d1ce4f9a8d64bbe1 | 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": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [57, 61], "expectation_value": -7.99999260634772, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 50, "probabilities": [1.8042475181095282e-06, 0.9999981319545665], "optimization_time": 66.81924295425415} | -0.5 * (Z(0) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["11000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5706) q[3];
cry(1.5708) q[3], q[4];
cry(1.5681) q[3], q[5];
cry(1.5708) q[3], q[2];
cry(1.5486) q[3], q[7];
ry(-1.5681) q[0];
ry(-1.4449) q[1];
cry(-1.4417) q[2], q[6];
cry(-0.1258) q[5], q[1... | 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(1.5706) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
383e9bbba4c1f2fb35a314751837dc18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [277, 279], "expectation_value": -0.6917943232458508, "params": [0.2873, 0.2856, 0.1522, 0.1559, 0.2431, 0.24020000000000002, 0.1715, 0.1675, 0.2962, 0.2907, 0.17980000000000002, 0.1741, 0.2927, 0.2987, 0.25930000000000003, 0.2549, 0.303, 0.2982, 0.2883, 0.2806, 0.1531, 0.14980000000000002, 0.229200000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(8) @ Z(1)) + 0.25 * (... | 14 | 9 | 3 | {"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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101100", "101000011", "011001100", "010111000", "011001001", "101100010", "011101000", "101001001", "101000110", "100100110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2873) q[0];
ry(0.1522) q[1];
ry(0.2431) q[2];
ry(0.1715) q[3];
ry(0.2962) q[4];
ry(0.1798) q[5];
ry(0.2927) q[6];
ry(0.2593) q[7];
ry(0.303) q[8];
crx(0.2767) q[8], q[0];
crx(-0.0367) q[7], q[8];
crx(0.0202) q[6], q[7];
crx(0.2924) q[5], q[6];
crx(-0.1058... | 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... | null | {"circuits": [], "gradients": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [10, 14], "expectation_value": -1.9858189578628154, "params": [[[0.0649, 0.1772], [0.4047, 0.0012000000000000001], [0.3976, -0.0013000000000000002], [0.39730000000000004, -0.0002], [0.065, -0.1776]], [[0.06670000000000001, 0.1772], [0.4036, 0.0012000000000000001], [0.3981, -0.0013000000000000002], [0.3986, -... | 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 | 4 | {"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;
rx(0.0649) q[0];
rz(0.1772) q[0];
rx(0.4047) q[1];
rz(0.0012) q[1];
rx(0.3976) q[2];
rz(-0.0013) q[2];
rx(0.3973) q[3];
rz(-0.0002) q[3];
rx(0.065) q[4];
rz(-0.1776) q[4];
rx(0.0667) q[0];
rz(0.1772) q[0];
rx(0.4036) q[1];
rz(0.0012) q[1];
rx(0.3981) q[2];
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": []} |
9b6c90aee56ab84919f7c826e678a024 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 9], "expectation_value": -0.9861678646825669, "params": [[0.059000000000000004], [-0.0477]], "bitstrings": ["11100", "10110"], "total_optimization_steps": 10, "probabilities": [0.0354643297656779, 0.03546432976567791], "optimization_time": 1.6657159328460693} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -2.75 * Z(0) + -3.0 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2065) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2065) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2065) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.236) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2065) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[1], q[2];
rz(x0) q[2];
cx q[1], ... | {"k": 3} | {"circuits": [], "gradients": []} |
-3228836779332427841 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [1, 2, 7], [1, 3, 6], [0, 6], [5, 6, 7], [0, 5, 7], [2, 3], [1, 3, 5], [0, 2, 7], [0, 4], [1, 6, 7], [2, 4], [4, 6], [3, 5, 6], [1, 3, 7], [0, 1, 3], [4, 5, 7]]} | {"states": [102, 230], "expectation_value": -4.353942201464077, "params": [[[1.6011, 0.0006000000000000001], [3.1435, 0.001], [3.1435, 0.0057], [0.2728, 0.0034000000000000002], [-0.0021000000000000003, 0.0031000000000000003], [3.1444, 0.005200000000000001], [3.1436, 0.009000000000000001], [1.2783, 0.0083]]], "bitstring... | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.3333333333333333 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333332, "smallest_bitstrings": ["00011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6011) q[0];
rz(0.0006) q[0];
rx(3.1435) q[1];
rz(0.001) q[1];
rx(3.1435) q[2];
rz(0.0057) q[2];
rx(0.2728) q[3];
rz(0.0034) q[3];
rx(-0.0021) q[4];
rz(0.0031) q[4];
rx(3.1444) q[5];
rz(0.0052) q[5];
rx(3.1436) q[6];
rz(0.009) q[6];
rx(1.2783) 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] 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": []} |
9b9072d7e4f73df8aaa189972cc4f07a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -27.885315199553553, "params": [-0.0033, 0.004, 0.0026000000000000003, 0.007200000000000001, 0.0027, 0.0073, 0.0027, 0.0022, -0.0027, 0.0016, 0.0026000000000000003, 0.0018000000000000002, 0.0027, 0.0048000000000000004, 0.0025, 0.0085, -0.0024000000000000002, 0.0022, 1.60950000000... | -1.25 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -2.25 * (Z(8) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.25 * (Z(5)... | 3 | 10 | 1 | {"smallest_eigenvalues": [-31.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0033) q[0];
rz(0.004) q[0];
rx(0.0026) q[1];
rz(0.0072) q[1];
rx(0.0027) q[2];
rz(0.0073) q[2];
rx(0.0027) q[3];
rz(0.0022) q[3];
rx(-0.0027) q[4];
rz(0.0016) q[4];
rx(0.0026) q[5];
rz(0.0018) q[5];
rx(0.0027) q[6];
rz(0.0048) q[6];
rx(0.0025) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 16, "source": 0, "target": 2}, {"weight": 12, "source": 0, "target": 4}, {"weight": 18, "source... | {"states": [117, 61], "expectation_value": -7.059419430491971, "params": [[0.051300000000000005], [-0.049800000000000004]], "bitstrings": ["0001010", "1000010"], "total_optimization_steps": 10, "probabilities": [0.012201513068421084, 0.012444409888311256], "optimization_time": 2.2809250354766846} | 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(3) @ Z(2)) + 3.0 * (Z(4) @ Z(0)) + 3.0 * (Z(4) @ Z(2)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(4)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3.0 * (Z(6) @ Z(4)) + 3.0 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.0, "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(0.3078) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3078) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3078) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3078) q[3];
cx q[1], q[3];
cx q[0], q[3];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | {"matching": "near_perfect", "extra": "{\"n\": 5}"} | {"circuits": [], "gradients": []} |
526cf5ec45e4853accae49bb4a06bc2c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [325, 357], "expectation_value": -2.474712457270703, "params": [[[0.40790000000000004, -0.0022], [-0.004200000000000001, 0.192], [0.40240000000000004, 0.002], [0.40900000000000003, -0.0002], [0.1839, 0.0896], [0.1307, 0.1092], [0.4025, 0.0008], [0.1731, -0.1183], [0.40940000000000004, -0.0021000000000000003]... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(4) + 0.0 * Z(0) + 0.0 * Z(2) + -1.5 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.0 * Z(8) | 1 | 9 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011010", "110001010", "010010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4079) q[0];
rz(-0.0022) q[0];
rx(-0.0042) q[1];
rz(0.192) q[1];
rx(0.4024) q[2];
rz(0.002) q[2];
rx(0.409) q[3];
rz(-0.0002) q[3];
rx(0.1839) q[4];
rz(0.0896) q[4];
rx(0.1307) q[5];
rz(0.1092) q[5];
rx(0.4025) q[6];
rz(0.0008) q[6];
rx(0.1731) 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": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [3, 17], "expectation_value": -3.4914324634340517, "params": [[-0.0546, -0.0284, -0.07880000000000001], [0.0707, 0.0409, 0.0703]], "bitstrings": ["11100", "01110"], "total_optimization_steps": 10, "probabilities": [0.05976845570707939, 0.06106987983411721], "optimization_time": 3.1354100704193115} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 7 | 5 | 3 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.1911) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1911) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1911) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1911) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2184) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 3} | {"circuits": [], "gradients": []} |
c745eafdc2adbaeba26c5101fc679bcd | 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}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [110, 109], "expectation_value": -24.097109656189588, "params": null, "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 100, "probabilities": [0.12667879988982958, 0.1401551950987474], "optimization_time": 130.5985701084137} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(6) @ Z(7)) + 14.5 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 12.5 * Z(4) + 9.0 * Z(5) + 7.5 * Z(3) + 2.0 * Z(7) + -1.0 * Z(6) | 1 | 8 | 2 | {"smallest_eigenvalues": [-53.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-22.6958) q[1];
ry(37.6583) q[4];
cry(-1.5713) q[1], q[4];
ry(63.1351) q[5];
ry(63.0642) q[2];
cry(-1.9993) q[1], q[5];
ry(15.8357) q[3];
cry(-26.7282) q[1], q[3];
cry(22.6221) q[3], q[2];
cry(... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-22.6958) 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 ... |
2102677892830655979 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 4, 5], [8, 4], [8, 1], [0, 4, 5], [2, 3, 4], [0, 3], [5, 6, 7], [2, 4, 7], [2, 5, 6], [8, 5, 7], [1, 4, 6], [1, 3, 4]]} | {"states": [250, 474], "expectation_value": -3.751835328809797, "params": null, "bitstrings": ["100000101", "000100101"], "total_optimization_steps": 62, "probabilities": [0.09325048738059798, 0.8720610564973041], "optimization_time": 131.16631245613098} | 0.5 * (Z(3) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.1666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.8333333333333326], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[4];
ry(1.4449) q[5];
cry(-1.4438) q[4], q[8];
cry(1.4416) q[4], q[1];
cry(-1.3585) q[0], q[3];
ry(0.5208) q[0];
cry(-0.3839) q[4], q[3];
cry(0.4973) q[4], q[0];
ry(-0.267) q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) 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];\nc[6] = m... |
647de892521e2aa63be27d4c6c55af2d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "ta... | {"states": [120, 126], "expectation_value": -7.96970093358087, "params": null, "bitstrings": ["0000111", "0000001"], "total_optimization_steps": 72, "probabilities": [0.1700644565586426, 0.5472449557081759], "optimization_time": 65.75941157341003} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + -0.5 * Z(6) | 5 | 7 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5706) q[3], q[1];
ry(1.056) q[3];
cry(1.5708) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(-0.6473) q[0], q[1];
ry(-0.1153) q[1];
cry(0.1321) q[2], q[1];
cry(1.0301) q[6], q[1];
cry(0.515) q[5], q[1];
cr... | null | {"node": 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];\ncry(1.5706) q[3], 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]... |
-7271762386976171312 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 1], [0, 2], [10, 7], [8, 5, 6], [0, 9, 4], [1, 10, 11], [0, 10], [0, 9, 3]]} | {"states": [463, 975], "expectation_value": -2.653132298303984, "params": [[[0.5661, 0.0019], [0.002, 0.0014], [1.5904, 0.0045000000000000005], [3.1394, 0.0078000000000000005], [3.1390000000000002, 0.006], [2.8572, 0.0025], [0.8278000000000001, 0.0089], [-0.0021000000000000003, 0.0098], [3.1398, 0.0039000000000000003],... | 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(0)) + 0.5 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-3.333333333333333, -3.333333333333333, -3.333333333333333, -3.333333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.333333333333332, "smallest_bitstrings": ["001000001110", "001110001010", "110001010000", "110000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.5661) q[0];
rz(0.0019) q[0];
rx(0.002) q[1];
rz(0.0014) q[1];
rx(1.5904) q[2];
rz(0.0045) q[2];
rx(3.1394) q[3];
rz(0.0078) q[3];
rx(3.139) q[4];
rz(0.006) q[4];
rx(2.8572) q[5];
rz(0.0025) q[5];
rx(0.8278) q[6];
rz(0.0089) q[6];
rx(-0.0021) 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": []} |
50b1c25b4f3602b10eee86e1dbea9d5c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [98, 114], "expectation_value": -3.453030538773718, "params": [0.6005, -0.0015, 0.6015, -0.0028, 0.5953, 0.0001, -0.0195, 0.3699, -0.0066, 0.33740000000000003, 0.5959, 0.2026, 0.0329, 0.3902, 0.607, -0.0016, 0.6068, 0.0009000000000000001, 0.5935, -0.0033, -0.011600000000000001, 0.37620000000000003, 0.0002, 0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(6) + -1.0 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.6005) q[0];
rz(-0.0015) q[0];
rx(0.6015) q[1];
rz(-0.0028) q[1];
rx(0.5953) q[2];
rz(0.0001) q[2];
rx(-0.0195) q[3];
rz(0.3699) q[3];
rx(-0.0066) q[4];
rz(0.3374) q[4];
rx(0.5959) q[5];
rz(0.2026) q[5];
rx(0.0329) q[6];
rz(0.3902) q[6];
crz(0.3904) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e7144ea70d71aadd33d74573a3d6662c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [44, 46], "expectation_value": -6.519042705903395, "params": [[[-0.003, 1.0586], [-0.003, 1.0634000000000001], [-0.0024000000000000002, 1.026], [1.5736, -0.002], [0.0023, 1.3008], [1.5765, -0.002], [1.5741, -0.003], [0.8045, 0.0022], [-0.0024000000000000002, 1.2478]], [[-0.0029000000000000002, 0.0086], [-0.0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["111010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.003) q[0];
rz(1.0586) q[0];
rx(-0.003) q[1];
rz(1.0634) q[1];
rx(-0.0024) q[2];
rz(1.026) q[2];
rx(1.5736) q[3];
rz(-0.002) q[3];
rx(0.0023) q[4];
rz(1.3008) q[4];
rx(1.5765) q[5];
rz(-0.002) q[5];
rx(1.5741) q[6];
rz(-0.003) q[6];
rx(0.8045) 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": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | 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": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -8.876454961549978, "params": [-0.0071, 0.0164, -0.1597, 0.5710000000000001, -0.4198, 0.1437, -0.3408, 0.5892000000000001, -0.4335, 0.7603000000000001, -0.3899, 0.8729, -0.4274, 0.49350000000000005, -0.4041, 0.638, -0.0031000000000000003, 0.7574000000000001, -0.0009000000000000... | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 6 | 6 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0071) q[0];
rz(0.0164) q[0];
rx(-0.4198) q[1];
rz(0.1437) q[1];
rx(-0.4335) q[2];
rz(0.7603) q[2];
rx(-0.4274) q[3];
rz(0.4935) q[3];
rx(-0.0031) q[4];
rz(0.7574) q[4];
rx(-0.4573) q[5];
rz(0.1222) q[5];
crx(0.0081) q[5], q[4];
crx(0.617) q[5], q[3];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 21], "expectation_value": -0.6899403332712716, "params": [[0.0448, 0.057100000000000005, 0.0637, 0.076], [-0.0171, -0.036000000000000004, -0.0441, -0.060200000000000004]], "bitstrings": ["010110", "101010"], "total_optimization_steps": 10, "probabilities": [0.0246574723879496, 0.025620736809964427], "op... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "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(0.0448) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0448) q[2];
cx q[1], q[2];
cx q[1], q[4];
rz(0.0448) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.0448) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.0448... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d84f9d44a9dfbf26b97835693b75dc35 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 7, "source": 0, "target": 2}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4... | {"states": [9, 11], "expectation_value": -2.121101240009778, "params": [[0.0789, 0.0782], [-0.0835, -0.0825]], "bitstrings": ["1110110", "1110100"], "total_optimization_steps": 10, "probabilities": [0.01818868196672501, 0.02233668767169233], "optimization_time": 2.320341110229492} | -1.75 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * Z(2) + -0.25 * Z(0) + 1.0 * Z(1) + 0.5 * Z(3) + -0.75 * Z(4) + 0.75 * Z(6) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.2762) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2367) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(-0.0394) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.2367) q[4];
cx q[2], q[4];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
61f645001e86ad8a32357cc828ae33cb | 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": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 6}]} | {"states": [17, 18], "expectation_value": -3.4853972522314844, "params": [[[-0.0018000000000000002, 0.3805, 0.0029000000000000002, 0.006900000000000001], [0.3548, 0.0034000000000000002, 0.3541, 0.0009000000000000001], [-0.0038, 0.38720000000000004, 0.007200000000000001, 0.3934], [-0.0012000000000000001, 0.372, -0.0033,... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(1) @ Z(4) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(0) + -0.25 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) | 12 | 6 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["111100", "101110", "101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(-0.0018) q[0];
rz(0.3805) q[0];
ry(0.3548) q[1];
rz(0.0034) q[1];
ry(-0.0038) q[2];
rz(0.3872) q[2];
ry(-0.0012) q[3];
rz(0.372) q[3];
ry(0.4991) q[4];
rz(0.0047) q[4];
ry(0.5023) q[5];
rz(-0.0027) q[5];
cz q[1], q[0];
cz q[3], q[2];
cz q[5], q[4];
ry(0.354... | OPENQASM 3.0;
include "stdgates.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": []} |
87c3ced1ef7832360d99a2d1828a4d93 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [10, 12], "expectation_value": -4.474105370885989, "params": null, "bitstrings": ["110101", "110011"], "total_optimization_steps": 15, "probabilities": [0.07397893941132597, 0.9005734987526041], "optimization_time": 9.604200839996338} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["111010", "011011", "110101", "110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(-1.4449) q[5];
ry(1.4417) q[2];
cry(-1.0398) q[3], q[4];
ry(0.7022) q[3];
ry(-0.4578) q[4];
cry(0.4969) q[2], q[3];
cry(-0.3761) q[2], q[4];
cry(-0.1216) q[2], q[5];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
5194581847612932555 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 5, 6], [8, 4, 6], [0, 4, 6], [8, 3, 5, 7], [1, 5, 7], [8, 6, 7]]} | {"states": [62, 126], "expectation_value": -1.7708572896412538, "params": null, "bitstrings": ["111000001", "110000001"], "total_optimization_steps": 56, "probabilities": [0.0869773548054582, 0.7666526997323554], "optimization_time": 99.90601825714111} | 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.41666666666666663 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.166666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.7500000000000002, "smallest_bitstrings": ["110000001", "010100100", "001010010"]} | 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(1.5158) q[6];
ry(1.2294) q[5];
cry(-0.5706) q[7], q[8];
cry(0.2988) q[6], q[5];
ry(0.4607) q[7];
cry(-0.4982) q[4], q[8];
cry(-0.5659) q[7], q[1];
cry(0.4935) q[5], q[7];
cry(-0.4239) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5158) 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] = m... |
da3c81488557dc57e6e1f0bd43d65336 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [0, 28], "expectation_value": -0.3938382557422812, "params": [[0.0669], [-0.0729]], "bitstrings": ["11111", "00011"], "total_optimization_steps": 10, "probabilities": [0.039092672639986475, 0.041040743980912904], "optimization_time": 1.3967435359954834} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.0 * Z(4) + -1.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "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[1], q[0];
rz(-0.2007) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2007) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2007) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.2007) q[3];
cx q[4], q[3];
rz(0.0669) q[1];
rz(0.0669) ... | 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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[4], q[... | {"node": 5} | {"circuits": [], "gradients": []} |
5264b19f3401032e019b258a19fe08a0 | 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": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [125, 127], "expectation_value": -5.249511221139249, "params": null, "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 46, "probabilities": [0.24988560795313905, 0.24988560795313905], "optimization_time": 52.30265021324158} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "10100010", "10100000", "10000010"]} | 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(1.5706) q[1];
cry(1.5681) q[1], q[5];
cry(1.5708) q[5], q[3];
cry(1.5486) q[5], q[4];
cry(-1.0342) q[1], q[0];
cry(1.4138) q[4], q[7];
cry(-0.5045) q[7], q[0];
ry(0.1428) q[7];
cry(-0.0328) q[5... | 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(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-1653545078559878703 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3], [8, 1, 6], [2, 4], [3, 4], [0, 4], [3, 7], [0, 5]]} | {"states": [356, 357], "expectation_value": -2.931144236041417, "params": [1.6644, 0.11220000000000001, 1.4247, 0.0031000000000000003, 1.0737, -0.7542, 0.7138, 0.0031000000000000003, 1.7613, 0.0891, 1.3348, 0.0, 1.7174, 0.09870000000000001, 1.3964, 0.0026000000000000003, 0.0001, -0.0449, 0.005200000000000001, 0.0081, 0... | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6644) q[0];
rz(0.1122) q[0];
rx(1.0737) q[1];
rz(-0.7542) q[1];
rx(1.7613) q[2];
rz(0.0891) q[2];
rx(1.7174) q[3];
rz(0.0987) q[3];
rx(0.0001) q[4];
rz(-0.0449) q[4];
rx(0.2866) q[5];
rz(0.1152) q[5];
rx(1.7741) q[6];
rz(0.0676) q[6];
rx(0.3991) 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": []} |
d8c959a00da600e8fbae4f9fb196848f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [22, 70], "expectation_value": -3.9888272343098374, "params": null, "bitstrings": ["1101001", "0111001"], "total_optimization_steps": 32, "probabilities": [0.06089263191342597, 0.8637008370974658], "optimization_time": 33.4253134727478} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011001", "0110101", "1010101", "1100101", "1101001", "0111001"]} | 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(-1.4449) q[1];
ry(1.4449) q[5];
cry(-1.0398) q[0], q[2];
cry(-1.0342) q[4], q[3];
ry(0.7003) q[4];
ry(0.6944) q[0];
ry(-0.4549) q[3];
cry(0.4963) q[5], q[4];
cry(-0.3789) q[5], q[3];
... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) 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", ... |
c502b67eb6d91d909ba398fa39bec60c | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [7, 23], "expectation_value": -0.24212449596597094, "params": [[0.0711, 0.07350000000000001], [-0.0762, -0.0688]], "bitstrings": ["11000", "01000"], "total_optimization_steps": 10, "probabilities": [0.037506238056192194, 0.04095045810694136], "optimization_time": 2.128129482269287} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"]} | 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(0.0711) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0711) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0711) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.0711) q[4];
cx q[1], q[4];
rz(-0.2133) q[1];
rz(0) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[1], q[2];
rz(x0) q[2];
cx q[1], ... | null | {"circuits": [], "gradients": []} |
887595949ae6925e33a681a58519a274 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [14906, 15674], "expectation_value": -46.20580564505556, "params": null, "bitstrings": ["1100010111000101", "1100001011000101"], "total_optimization_steps": 100, "probabilities": [0.0602435952029731, 0.5076907154990158], "optimization_time": 956.4185926914215} | 2.0 * (Z(2) @ Z(3)) + 2.0 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.5 * (Z(5) @ Z(8)) + -1.0 * (Z(6) @ Z(8)) + 2.0 * (Z(6) @ Z(5)) + -1.0 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(5)) + -1.... | 1 | 16 | 4 | {"smallest_eigenvalues": [-48.74999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -48.749999999999304, "smallest_bitstrings": ["1100001011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
ry(26.9543) q[12];
ry(3.3651) q[11];
ry(-6.0628) q[3];
cry(4.7866) q[12], q[3];
cry(-56.9236) q[12], q[11];
cry(0.6627) q[6]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] 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];\nh q[13];\nh q[14];\nh q[15];\nry(26.9543) q[12];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc... |
02575a12c565dc28617818fe7f0b4a99 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [108, 46], "expectation_value": -4.499144840050173, "params": null, "bitstrings": ["0010011", "1010001"], "total_optimization_steps": 34, "probabilities": [0.06552908411539801, 0.9338662432826397], "optimization_time": 35.01308298110962} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -1.0 * Z(6) + -0.5 * Z(3) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010011", "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[2];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[1];
cry(-1.0342) q[5], q[0];
ry(0.7003) q[5];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4689e6baa9337348674476b483dca2ad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": ... | {"states": [1023, 1022], "expectation_value": -24.649950704941848, "params": [[[-1.9515, 1.0515], [0.0025, 2.0929], [0.002, 0.0024000000000000002], [0.0031000000000000003, 0.0025], [0.0024000000000000002, -0.0027], [0.0029000000000000002, -0.0027], [0.0022, 0.0027], [-0.0026000000000000003, 0.0026000000000000003], [-1.... | -2.0 * (Z(0) @ Z(1)) + -3.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -3.0 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(7)) + -2.0 * (Z(5) @ Z(3)) + 1.0 * (Z(6) @ Z(1)) + -3.0 ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-27.5, -27.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.5, "smallest_bitstrings": ["0010000011", "0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.9515) q[0];
ry(0.0025) q[1];
ry(0.002) q[2];
ry(0.0031) q[3];
ry(0.0024) q[4];
ry(0.0029) q[5];
ry(0.0022) q[6];
ry(-0.0026) q[7];
ry(-1.7586) q[8];
ry(-0.0153) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.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]... | {"node": 9} | {"circuits": [], "gradients": []} |
c1d2db50b6ad0c04975ddbca5d021f38 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3628, 2604], "expectation_value": -116.09876151575473, "params": [0.8969, -0.0046, 0.47350000000000003, 0.2599, 0.9023, 0.11410000000000001, -0.0058000000000000005, 0.42600000000000005, 0.39, 0.26380000000000003, 0.0022, 0.5805, 0.9038, 0.028, 0.3709, 0.3219, 0.892, 0.1738, 0.8986000000000001, 0.00650000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(6) @ Z(0)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(11) @ Z(0)) + 7.5 * (Z(11) @ Z(6)) + 9.5 * Z(1)... | 16 | 12 | 3 | {"smallest_eigenvalues": [-148.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -127.5, "smallest_bitstrings": ["010111010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8969) q[0];
rz(-0.0046) q[0];
rx(0.4735) q[1];
rz(0.2599) q[1];
rx(0.9023) q[2];
rz(0.1141) q[2];
rx(-0.0058) q[3];
rz(0.426) q[3];
rx(0.39) q[4];
rz(0.2638) q[4];
rx(0.0022) q[5];
rz(0.5805) q[5];
rx(0.9038) q[6];
rz(0.028) q[6];
rx(0.3709) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
647765b6ab0983718acd0fd4721756f9 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2047], "expectation_value": -16.640403898915604, "params": [[[-0.0013000000000000002, 1.6021], [0.0019, 0.0068000000000000005], [0.0016, 0.0019], [0.0017000000000000001, 0.002], [0.0021000000000000003, 0.0019], [0.0021000000000000003, 0.002], [-0.0031000000000000003, 0.0023], [0.0016, 0.0023], [0.0021000... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(2) @ Z(10)) + -2.0 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(10)) + -2.0 * (Z(3) @ Z(9)) +... | 15 | 11 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0013) q[0];
ry(0.0019) q[1];
ry(0.0016) q[2];
ry(0.0017) q[3];
ry(0.0021) q[4];
ry(0.0021) q[5];
ry(-0.0031) q[6];
ry(0.0016) q[7];
ry(0.0021) q[8];
ry(0.0034) q[9];
ry(-0.0028) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[11] c;
qubit[11... | {"node": 6} | {"circuits": [], "gradients": []} |
42431c1c8039d047c82f7ec388df22d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -19.765247034032043, "params": [0.0014, 0.14120000000000002, -0.0033, 0.1237, 0.0009000000000000001, 0.1633, -0.0008, 0.1574, 0.1985, -0.0019, 0.1967, 0.0028, 0.0004, 0.13520000000000001, 0.003, 0.15030000000000002, -0.0001, 0.15810000000000002, -0.001, 0.157, 0.001, 0.16190000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(9) @ Z(1)) + -1.0 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + -1.0 * (Z(10) @... | 7 | 11 | 4 | {"smallest_eigenvalues": [-20.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0014) q[0];
rz(0.1412) q[0];
rx(0.0009) q[1];
rz(0.1633) q[1];
rx(0.1985) q[2];
rz(-0.0019) q[2];
rx(0.0004) q[3];
rz(0.1352) q[3];
rx(-0.0001) q[4];
rz(0.1581) q[4];
rx(0.001) q[5];
rz(0.1619) q[5];
rx(0.0064) q[6];
rz(0.116) q[6];
rx(0.0083) 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": []} |
84c2e7811b337ff89f1f9fa11193e77f | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 3, "source": ... | {"states": [0, 256], "expectation_value": -9.802375727360557, "params": [0.0033, -0.5187, 0.0032, 0.0097, 0.003, -0.5926, 0.003, 0.0023, 0.0025, -0.4934, 0.0026000000000000003, 0.0097, 0.8034, 0.0654, 0.8026000000000001, 0.0005, 0.003, -0.4657, 0.003, 0.0014, 0.0026000000000000003, -0.5700000000000001, 0.00260000000000... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(10)) + -0.25 * (Z(9) @ Z(5)) + -1.0 * (Z(11) @ Z(5)) + -0.25 * (Z(11) @ Z(10)) + -0.25 * (Z(11) @ Z(4)) + -1.0 * (Z(7) @ Z(10)) + -0.5 * (Z(7) @ Z(4)) + -0.75 * (Z(7) @ Z(9)) + -0.75 * (Z(7) @ Z(11)) + -0.7... | 5 | 12 | 1 | {"smallest_eigenvalues": [-11.25, -11.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.25, "smallest_bitstrings": ["111011111111", "111011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0033) q[0];
rz(-0.5187) q[0];
rx(0.003) q[1];
rz(-0.5926) q[1];
rx(0.0025) q[2];
rz(-0.4934) q[2];
rx(0.8034) q[3];
rz(0.0654) q[3];
rx(0.003) q[4];
rz(-0.4657) q[4];
rx(0.0026) q[5];
rz(-0.57) q[5];
rx(0.003) q[6];
rz(-0.5941) q[6];
rx(0.0026) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
-6888968808167084749 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 6], [1, 3, 5], [1, 3, 4, 6], [0, 4, 5], [3, 7], [4, 5, 6], [1, 7], [4, 5, 7], [1, 2, 4, 6], [0, 2], [0, 1, 4], [2, 3, 5], [0, 4, 6, 7]]} | {"states": [120, 214], "expectation_value": -0.7658971502989269, "params": [[-0.1643], [0.1766]], "bitstrings": ["10000111", "00101001"], "total_optimization_steps": 20, "probabilities": [0.00648840088099578, 0.006634170711788744], "optimization_time": 6.555892705917358} | 0.25 * (Z(0) @ Z(1)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.25 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.16666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.4166666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3333333333333344, "smallest_bitstrings": ["00101001"]} | 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(-0.0822) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1095) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0274) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(-0.0822) q[6];
cx q[1], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [49, 17], "expectation_value": -11.16581569909803, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 32.10112190246582} | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 2 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5709) q[5];
ry(-1.4894) q[0];
ry(-0.7453) q[4];
ry(-0.9522) q[3];
cry(0.8407) q[5], q[4];
cry(-1.6662) q[2], q[4];
cry(-0.5015) q[5], q[3];
cry(1.5708) q[5], q[1];
cry(-0.9036) q[1], q[4];
ry(-1.5396) q[2];
... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
17305e67dbef55db83cc5ad58149e99d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [310, 319], "expectation_value": -16.817392807555834, "params": null, "bitstrings": ["1011001001", "1011000000"], "total_optimization_steps": 100, "probabilities": [0.16652436468696166, 0.5404946123298355], "optimization_time": 191.15868067741394} | -2.0 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + -2.0 * (Z(1) @ Z(8)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + -2.0 * (Z(7) @ Z(5)) + -3.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + -2.5 * (Z(9) @ Z(5)) + -2.5 * (Z(9) @ Z(7)) + 0.5... | 5 | 10 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["1011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5708) q[8], q[9];
ry(1.0079) q[8];
cry(1.5708) q[9], q[7];
cry(1.5647) q[7], q[5];
cry(-1.5602) q[7], q[9];
cry(0.01) q[5], q[9];
ry(-0.0012) q[9];
cry(1.986) q[6], q[9];
c... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5708) q[8], q[9];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
b0dd1050887f092ff1c439d2cb12f6fe | 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": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [33, 1], "expectation_value": -0.48137520075473694, "params": [[-0.056], [0.0714]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005081360249503373, 0.005358693712568489], "optimization_time": 2.0277388095855713} | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(5) + -0.25 * Z(6) + 1.5 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-12.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.112) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.084) q[5];
cx q[0], q[5];
cx q[1], q[6];
rz(0.14) q[6];
cx q[1], q[6];
cx q[5], q[6];
rz(0.112) q[6];
cx q[5], q[6];
cx q[1], q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
-3287990916887847028 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 9], [0, 1, 5, 6], [1, 3, 4, 5, 6, 9], [0, 1, 2, 3, 4, 6, 9, 10], [8, 1], [0, 1, 4, 7, 9, 10], [0, 3, 4, 5, 6], [0, 1, 4, 5, 7, 9], [2, 5, 6, 7, 8], [0, 1, 2, 3, 5, 10], [0, 1, 3, 4, 6, 7, 9], [1, 3, 4, 5, 6, 10], [1, 2, 4, 5, 7], [0, 1, 3, 4, 5], [0, 2, 3... | {"states": [1997, 989], "expectation_value": -2.529738060816368, "params": [1.1771, -0.2444, 1.0403, 0.005, 1.1919, -0.2194, 1.1967, 0.0012000000000000001, 1.1969, -0.2245, 1.1693, 0.008700000000000001, 1.1987, -0.0553, 1.1981000000000002, 0.0046, 1.1816, -0.2053, 1.0546, 0.0032, 1.1727, -0.2187, 1.0356, 0.0053, 1.1907... | 0.5 * (Z(9) @ Z(10)) + 0.10833333333333334 * (Z(0) @ Z(10)) + 0.14166666666666666 * (Z(1) @ Z(10)) + 0.5 * (Z(1) @ Z(9)) + 0.27499999999999997 * (Z(1) @ Z(0)) + 0.06666666666666667 * (Z(6) @ Z(10)) + 0.05 * (Z(6) @ Z(9)) + 0.2833333333333333 * (Z(6) @ Z(0)) + 0.31666666666666665 * (Z(6) @ Z(1)) + 0.075 * (Z(7) @ Z(10))... | 5 | 11 | 1 | {"smallest_eigenvalues": [-3.519047619047618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.471428571428571, "smallest_bitstrings": ["10000100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.1771) q[0];
rz(-0.2444) q[0];
rx(1.1919) q[1];
rz(-0.2194) q[1];
rx(1.1969) q[2];
rz(-0.2245) q[2];
rx(1.1987) q[3];
rz(-0.0553) q[3];
rx(1.1816) q[4];
rz(-0.2053) q[4];
rx(1.1727) q[5];
rz(-0.2187) q[5];
rx(1.1907) q[6];
rz(-0.1693) q[6];
rx(1.1888) 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": []} |
661cced0578972d7643211676f7285ba | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [1498, 1502], "expectation_value": -4.051394822311228, "params": [[[-0.0023, 1.2383], [1.1682000000000001, -0.0029000000000000002], [0.0653, -0.8208000000000001], [1.5771000000000002, 0.0024000000000000002], [1.5799, -0.002], [1.5781, 0.003], [0.2029, 0.7033], [1.5743, -0.0029000000000000002], [1.5786, 0.002... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(1) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(1) @ Z(7)) + 0.0625 * (Z(8) @ Z(1)) + 0.0625 * (Z(4) @ Z(6... | 1 | 12 | 2 | {"smallest_eigenvalues": [-4.6875, -4.6875, -4.6875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.6875, "smallest_bitstrings": ["110000000101", "100100001100", "101000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0023) q[0];
rz(1.2383) q[0];
rx(1.1682) q[1];
rz(-0.0029) q[1];
rx(0.0653) q[2];
rz(-0.8208) q[2];
rx(1.5771) q[3];
rz(0.0024) q[3];
rx(1.5799) q[4];
rz(-0.002) q[4];
rx(1.5781) q[5];
rz(0.003) q[5];
rx(0.2029) q[6];
rz(0.7033) q[6];
rx(1.5743) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
47007465d812e52d6cf0f90e500474b2 | 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": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 3, "source": 0, ... | {"states": [17, 1], "expectation_value": -0.9719047878169813, "params": [[-0.0437], [0.0536]], "bitstrings": ["11101110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.005347023296303776, 0.005596807980562974], "optimization_time": 2.742997407913208} | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(0)) + -2.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + 3.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -2.25 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.1093) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.1093) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0655) q[5];
cx q[0], q[5];
cx q[2], q[6];
rz(0.1967) q[6];
cx q[2], q[6];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
ceada473950316c985fdaa58a8618609 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [125, 109], "expectation_value": -66.32220140129405, "params": [0.2973, 0.5643, 1.0906, -0.0492, 1.0676, 0.06330000000000001, 0.5445, 0.38930000000000003, 1.0577, -0.015700000000000002, 1.0919, 0.1884, 0.27690000000000003, 0.46390000000000003, 1.0793000000000001, 0.1628, 0.2968, 0.5209, 1.0645, 0.0442, 1.068... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2973) q[0];
rz(0.5643) q[0];
rx(1.0906) q[1];
rz(-0.0492) q[1];
rx(1.0676) q[2];
rz(0.0633) q[2];
rx(0.5445) q[3];
rz(0.3893) q[3];
rx(1.0577) q[4];
rz(-0.0157) q[4];
rx(1.0919) q[5];
rz(0.1884) q[5];
rx(0.2769) q[6];
rz(0.4639) q[6];
rx(1.0793) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
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