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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
5fcc80649738bc6ebb5e6ed34bbe4c7e | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [233, 218], "expectation_value": -51.83025940389548, "params": null, "bitstrings": ["100010110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.05386737886444366, 0.32813936282799694], "optimization_time": 184.55553436279297} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-7.2777) q[7];
ry(30.2888) q[4];
ry(15.5116) q[1];
ry(32.5712) q[2];
cry(-125.5904) q[2], q[1];
ry(1.8243) q[5];
cry(-40.9369) q[5], q[1];
ry(2.3575) q[8];
cry(-15.6703) q[8], q[1];
cry... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-7.2777) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
ece93f03d7a1dee284a869efb9bed9c1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1415, 1411], "expectation_value": -100.28853152772692, "params": [2.8078000000000003, 0.0039000000000000003, 0.922, 0.0025, 2.8002000000000002, 0.0004, 2.805, 0.0041, -0.0027, 0.0081, 0.0029000000000000002, 0.0095, 1.0901, 0.009000000000000001, 0.0029000000000000002, 0.0036000000000000003, 1.524700000000000... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(10) @ Z(2)) + 6.5 * (Z(10) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(5) @ Z(9)) + 12.5 * Z(0) + 22.5 * Z(2) + 3.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-121.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["01001111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.8078) q[0];
rz(0.0039) q[0];
rx(0.922) q[1];
rz(0.0025) q[1];
rx(2.8002) q[2];
rz(0.0004) q[2];
rx(2.805) q[3];
rz(0.0041) q[3];
rx(-0.0027) q[4];
rz(0.0081) q[4];
rx(0.0029) q[5];
rz(0.0095) q[5];
rx(1.0901) q[6];
rz(0.009) q[6];
rx(0.0029) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
8198021928293f705270038472b9e016 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 7, "source": 0, "target": 3}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -25.427103958219963, "params": [0.0049, -0.0989, 0.0019, 0.1313, -0.0033, -0.223, 0.002, -0.2273, -0.004, -0.1373, -0.0013000000000000002, -0.1232, -0.004200000000000001, -0.2086, -0.0016, -0.2156, -0.0033, -0.21760000000000002, -0.0023, -0.2258, -0.0001, -0.1774, -0.005, -0.22, ... | -1.0 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(0)) + -1.75 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + 5.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(3)) + -2.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0049) q[0];
rz(-0.0989) q[0];
rx(-0.0033) q[1];
rz(-0.223) q[1];
rx(-0.004) q[2];
rz(-0.1373) q[2];
rx(-0.0042) q[3];
rz(-0.2086) q[3];
rx(-0.0033) q[4];
rz(-0.2176) q[4];
rx(-0.0001) q[5];
rz(-0.1774) q[5];
rx(-0.0045) q[6];
rz(-0.211) q[6];
rx(-0.0029) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [44, 41], "expectation_value": -0.9331891264748682, "params": [[-0.0854, -0.07300000000000001], [0.0806, 0.069]], "bitstrings": ["010011", "010110"], "total_optimization_steps": 10, "probabilities": [0.023807807049553067, 0.023807807049553084], "optimization_time": 3.105473756790161} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.5 * Z(0) + -2.0 * Z(4) + -0.5 * Z(2) + -1.0 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011", "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(-0.0854) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.0854) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.0854) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0854) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | null | {"circuits": [], "gradients": []} |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"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": [189, 109], "expectation_value": -10.076870290366198, "params": [[-0.045000000000000005], [0.066]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.006970655825241817, 0.007618291520637398], "optimization_time": 3.0829553604125977} | 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) ... | 1 | 8 | 1 | {"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;
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(-0.36) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.36) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.36) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.36) q[3];
cx q[1], q[3];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
c835fa1e3e69cb531a622e34cffeb2bc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 5}, {"weight": 9, "source": 2, "targ... | {"states": [216, 218], "expectation_value": -48.25420584016924, "params": null, "bitstrings": ["100100111", "100100101"], "total_optimization_steps": 100, "probabilities": [0.051285973196568635, 0.25117832528127026], "optimization_time": 202.5686731338501} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-91.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(23.9941) q[7];
ry(24.8661) q[1];
ry(-19.5034) q[5];
ry(125.7866) q[4];
ry(-5.4058) q[8];
cry(4.099) q[8], q[1];
cry(0.0697) q[8], q[4];
cry(22.5739) q[8], q[5];
ry(6.9979) q[2];
cry(0.6... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(23.9941) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
ff8f6474b0b3776619eb1312dc4aadc1 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target":... | {"states": [730, 666], "expectation_value": -8.500769834883322, "params": [[1.58, 0.0019, 1.5804, -0.0043, 0.0023, 1.5790000000000002, -0.002, 0.002, 1.5764, 0.0019], [1.5745, 0.0033, 1.5739, 1.5271000000000001, -0.0021000000000000003, 1.5749, 1.6145, 0.002, 1.5738, -0.0019]], "bitstrings": ["0100100101", "0101100101"]... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["0100101101", "0101100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.58) q[0];
ry(0.0019) q[1];
ry(1.5804) q[2];
ry(-0.0043) q[3];
ry(0.0023) q[4];
ry(1.579) q[5];
ry(-0.002) q[6];
ry(0.002) q[7];
ry(1.5764) q[8];
ry(0.0019) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
a20be77afa1a8b9b75f27972fb6e9517 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, ... | {"states": [73, 75], "expectation_value": -16.529946358874202, "params": [-0.0029000000000000002, 1.4469, 1.0481, 0.0036000000000000003, -0.0028, 1.3711, -0.0027, 1.1671, 1.0414, 0.26530000000000004, 0.0014, 1.508, -0.5989, 1.4286, 1.064, 0.0704, -0.0039000000000000003, 1.3606, 1.0567, 0.0095, -0.0029000000000000002, 1... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + 3.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -1.75 * (Z(1) @ Z(6)) + -1.25 * (Z(1) @ Z(7)) + -3.5 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z... | 3 | 8 | 3 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["10110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0029) q[0];
rz(1.4469) q[0];
rx(1.0481) q[1];
rz(0.0036) q[1];
rx(-0.0028) q[2];
rz(1.3711) q[2];
rx(-0.0027) q[3];
rz(1.1671) q[3];
rx(1.0414) q[4];
rz(0.2653) q[4];
rx(0.0014) q[5];
rz(1.508) q[5];
rx(-0.5989) q[6];
rz(1.4286) q[6];
rx(1.064) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
6125947611399702618 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 5], [0, 4], [3, 5], [0, 3], [1, 3]]} | {"states": [52, 49], "expectation_value": -2.0723991504925494, "params": null, "bitstrings": ["001011", "001110"], "total_optimization_steps": 37, "probabilities": [0.019091994219810157, 0.8392001302408019], "optimization_time": 33.84797716140747} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.16666666666666666 * Z(2) + 0.16666666666666674 * Z(0) + 0.16666666666666663 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.0342) q[5], q[3];
ry(0.971) q[5];
cry(-0.8029) q[1], q[3];
cry(1.1656) q[5], q[1];
cry(1.3159) q[1], q[0];
cry(-0.434) q[0], q[3];
cry(-1.4079) q[0], q[4];
cry(0.4262) q[1], q[5];
ry(0.2072) q[0];
cry(-0.6... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[5], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
7028303035856942011 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3], [8, 3, 5, 7], [0, 7], [2, 4], [1, 6]]} | {"states": [234, 203], "expectation_value": -0.9494806507044504, "params": [0.49150000000000005, 0.3713, 0.4948, 0.0057, 1.1057000000000001, 0.0829, 1.1077000000000001, 0.003, 1.089, -0.0235, 1.0799, 0.0023, 1.0912, -0.1832, 1.0852, 0.0025, 0.5238, 0.3815, 0.4943, 0.0083, 1.0946, -0.161, 1.0939, 0.0055000000000000005, ... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(5)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.0833333333333335, -2.0833333333333335, -2.0833333333333335, -2.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.083333333333333, "smallest_bitstrings": ["101100100", "101000101", "100110100", "100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4915) q[0];
rz(0.3713) q[0];
rx(1.1057) q[1];
rz(0.0829) q[1];
rx(1.089) q[2];
rz(-0.0235) q[2];
rx(1.0912) q[3];
rz(-0.1832) q[3];
rx(0.5238) q[4];
rz(0.3815) q[4];
rx(1.0946) q[5];
rz(-0.161) q[5];
rx(0.4912) q[6];
rz(-0.3587) q[6];
rx(1.0993) 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": []} |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3443, 3445], "expectation_value": -6.245388836691124, "params": null, "bitstrings": ["001010001100", "001010001010"], "total_optimization_steps": 100, "probabilities": [0.0570046881067329, 0.8149526781416564], "optimization_time": 322.5241892337799} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100001100010", "100100001010", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5681) q[11];
ry(1.5681) q[7];
ry(1.5486) q[5];
ry(1.5486) q[1];
ry(1.4449) q[6];
cry(-1.4432) q[6], q[8];
cry(-1.0342) q[9], q[10];
ry(1.069) q[9];
cry(-0.... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];... |
6b7ed53a34b4dd2aa2503ba0aafc7221 | min_cut | 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": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [0, 1], "expectation_value": -4.526005320621771, "params": [[[-0.0009000000000000001, 0.21680000000000002], [0.0041, 0.2479], [0.0055000000000000005, 0.18000000000000002], [0.0014, 0.25980000000000003], [0.0023, 0.31], [0.4006, 0.0027]], [[0.004, 0.2558], [-0.0001, 0.3124], [-0.0012000000000000001, 0.309], [... | -0.75 * (Z(0) @ Z(3)) + -0.75 * (Z(1) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.75 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + -0.75 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0009) q[0];
rz(0.2168) q[0];
rx(0.0041) q[1];
rz(0.2479) q[1];
rx(0.0055) q[2];
rz(0.18) q[2];
rx(0.0014) q[3];
rz(0.2598) q[3];
rx(0.0023) q[4];
rz(0.31) q[4];
rx(0.4006) q[5];
rz(0.0027) q[5];
rx(0.004) q[0];
rz(0.2558) q[0];
rx(-0.0001) q[1];
rz(0.312... | OPENQASM 3.0;
include "stdgates.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": []} |
-3098183377770284745 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 12], [12, 6], [2, 7], [8, 9], [0, 11], [8, 5], [4, 6], [11, 4], [10, 2], [3, 6], [2, 5], [2, 6], [5, 7], [0, 8], [2, 12], [3, 11], [1, 2], [8, 3], [11, 5], [0, 7], [2, 11], [11, 7], [0, 3], [9, 5], [1, 11], [9, 3], [8, 4], [3, 5], [8, 7], [4, 5], ... | {"states": [559, 815], "expectation_value": -0.791160735003087, "params": [0.6406000000000001, 0.6433, 0.6322, 0.6351, 0.6397, 0.6383, 0.91, 0.9104000000000001, 0.8691000000000001, 0.8709, 0.631, 0.6282, 0.6363, 0.6352, 0.9375, 0.9392, 0.6648000000000001, 0.6661, 0.9393, 0.9481, 0.9570000000000001, 0.9658, 0.9231, 0.92... | 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(6) @ Z(12)) + 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["1110011010000", "0001100101111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.6406) q[0];
ry(0.6322) q[1];
ry(0.6397) q[2];
ry(0.91) q[3];
ry(0.8691) q[4];
ry(0.631) q[5];
ry(0.6363) q[6];
ry(0.9375) q[7];
ry(0.6648) q[8];
ry(0.9393) q[9];
ry(0.957) q[10];
ry(0.9231) q[11];
ry(0.9539) q[12];
crz(-0.0135) q[12], q[0];
crz(-0.0069)... | OPENQASM 3.0;
include "stdgates.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": []} |
da6f888553e0928bf84cb7c24eceee80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.184502088555178, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 65.64430475234985} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(1.5708) q[4];
cry(1.5706) q[4], q[2];
cry(1.5486) q[4], q[6];
cry(1.5485) q[4], q[5];
cry(-1.0343) q[7], q[0];
ry(1.067) q[7];
cry(1.3882) q[6], q[3];
cry(-0.7227) q[4], q[0];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... |
668f90355fba57bcb4fb60386433c90f | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [106, 107], "expectation_value": -26.952698639577534, "params": null, "bitstrings": ["10010101", "10010100"], "total_optimization_steps": 100, "probabilities": [0.062152393794066674, 0.2689894451535224], "optimization_time": 164.00658249855042} | 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 5.0 * Z(0) + 7.5 * Z(1) + 14.0 * Z(2) + 13.0 * Z(4) + 2.0 * Z(3) + 13.5 * Z(6) + 4.5 * Z(5) + 13.0 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[2];
ry(6.6475) q[4];
ry(63.0918) q[7];
ry(4.3338) q[6];
cry(32.9752) q[4], q[7];
cry(-2.9224) q[7], q[4];
cry(28.3989) q[7], q[2];
cry(0.0014) q[2], q[4];
cry(0.7192) q[5], q[4];
cry... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[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... |
-3881810637629690081 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 10], [1, 3], [1, 2], [2, 4], [11, 5], [0, 6], [3, 7], [8, 6], [9, 2], [9, 12]]} | {"states": [6458, 5777], "expectation_value": -0.03511814740379682, "params": [[0.047], [-0.0376]], "bitstrings": ["0011011000101", "0100101101110"], "total_optimization_steps": 10, "probabilities": [0.00013088132805046538, 0.00013088132805046538], "optimization_time": 33.473092794418335} | 0.5 * (Z(0) @ Z(10)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(12) @ Z(9)) + 0.0 * Z(10) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 *... | 4 | 13 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110111000", "1100100111010", "0100101101110", "0100111101100", "1011010010001", "1011000010011", "0011011000101", "0011001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[10], q[0];
rz(0.047) q[0];
cx q[10], q[0];
cx q[3], q[1];
rz(0.047) q[1];
cx q[3], q[1];
cx q[1], q[2];
rz(0.047) q[2];
cx q[1], q[2];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[10], q[0];
rz(x0) q[0];
cx q[10], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
c4fd4922d2c165ab37a0955c733d543f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 5}, {"weight": 5, "source": 2, "target": 3}, {"... | {"states": [121, 109], "expectation_value": -11.754848456288904, "params": [[-0.036500000000000005], [0.08020000000000001]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.0076147303513958335, 0.0077863508626663], "optimization_time": 1.77642822265625} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 16.5 * Z(1) + 3.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.292) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.292) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.292) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.292) q[3];
cx q[4], q[3];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
39d9cef8eeeccec495b03c2d0bc1fdcf | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 9}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [99, 115], "expectation_value": -4.536881183649891, "params": [0.17650000000000002, 0.4703, 0.1715, 0.00030000000000000003, -0.010100000000000001, 0.49450000000000005, -0.0135, 0.0028, 0.2907, 0.5092, 0.25720000000000004, 0.0079, 0.8094, 0.31970000000000004, 0.8052, 0.004200000000000001, 0.8101, -0.0023, 0.8... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(1) ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110001100", "1101001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.1765) q[0];
rz(0.4703) q[0];
rx(-0.0101) q[1];
rz(0.4945) q[1];
rx(0.2907) q[2];
rz(0.5092) q[2];
rx(0.8094) q[3];
rz(0.3197) q[3];
rx(0.8101) q[4];
rz(-0.0023) q[4];
rx(0.8022) q[5];
rz(0.0035) q[5];
rx(0.1798) q[6];
rz(-0.3053) q[6];
rx(-0.0087) 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": []} |
0ad68e324bb62e8ca77b23fb984092cf | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [946, 434], "expectation_value": -92.49466075504134, "params": [0.7682, -0.3592, 1.4049, -0.0207, 1.397, 0.2811, 0.3342, 0.8053, 1.3997000000000002, 0.001, 1.3954, 0.3426, -0.020200000000000003, 0.7876000000000001, -0.018600000000000002, -0.6899000000000001, 1.4018000000000002, 0.28390000000000004, 0.3342, 0... | 7.0 * (Z(2) @ Z(0)) + 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(8) @ Z(0)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(9)) + 15.0 * Z(0) + 16.0 * Z(2) + 13.0 * Z(1) + 1.5 * Z(3) + 8... | 18 | 10 | 2 | {"smallest_eigenvalues": [-113.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -95.5, "smallest_bitstrings": ["1001001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7682) q[0];
rz(-0.3592) q[0];
rx(1.4049) q[1];
rz(-0.0207) q[1];
rx(1.397) q[2];
rz(0.2811) q[2];
rx(0.3342) q[3];
rz(0.8053) q[3];
rx(1.3997) q[4];
rz(0.001) q[4];
rx(1.3954) q[5];
rz(0.3426) q[5];
rx(-0.0202) q[6];
rz(0.7876) q[6];
rx(-0.0186) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
aaa0b19e64bf3c35281517d1fd2e9593 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [39, 23], "expectation_value": -3.499144858283829, "params": null, "bitstrings": ["011000", "101000"], "total_optimization_steps": 28, "probabilities": [0.06552908063150316, 0.9338662614330172], "optimization_time": 20.86616039276123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["011000", "101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[1];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[1];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[1];
cry(-0.148... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -9.49998088741361, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 18, "probabilities": [1.2623551093771558e-05, 0.9999867275426021], "optimization_time": 17.550370693206787} | -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 | 4 | {"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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[2];
ry(-1.5681) q[1];
ry(-1.5486) q[5];
ry(-1.5708) q[3];
ry(-1.4449) q[4];
cry(-0.1188) q[6], q[4];
cry(-0.0222) q[6], q[5];
cry(-0.0016) q[6], q[0];
cry(... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
63068c7e8d47b6487976b427c799ef4e | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"s... | {"states": [127, 3967], "expectation_value": -11.984877902787586, "params": [0.0021000000000000003, 0.5535, -1.0068000000000001, 0.004, 0.0015, -0.5949, -1.3576000000000001, 0.0007, -1.3949, -0.0018000000000000002, 0.46740000000000004, 1.1049, 0.0358, -0.0024000000000000002, -0.7737, -0.0023, -2.5993, 0.002600000000000... | -1.5 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(1) @ Z(12)) + 0.5 * (Z(1) @ Z(11)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * Z(5) + -1.0 * Z(0) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(8) +... | 4 | 13 | 1 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["0000000000000", "1000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0021) q[0];
rz(0.5535) q[0];
rx(-1.0068) q[1];
rz(0.004) q[1];
rx(0.0015) q[2];
rz(-0.5949) q[2];
rx(-1.3576) q[3];
rz(0.0007) q[3];
rx(-1.3949) q[4];
rz(-0.0018) q[4];
rx(0.4674) q[5];
rz(1.1049) q[5];
rx(0.0358) q[6];
rz(-0.0024) q[6];
rx(-0.7737) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 1} | {"circuits": [], "gradients": []} |
209492d0ebde0c4941c69f20876abb8e | 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": 6, "source": 0, "t... | {"states": [342, 218], "expectation_value": -14.345564569368534, "params": [[-0.0292], [0.081]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0038591832714408025, 0.004396748779924603], "optimization_time": 1.9185888767242432} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(0)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2628) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(-0.2628) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(-0.2628) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(-0.2628) q[2];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -1.778676790472518, "params": [[0.0784, 0.0758], [-0.0771, -0.06760000000000001]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.033262586057659214, 0.033808917927135196], "optimization_time": 2.8060059547424316} | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.196) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.2352) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.0392) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.0392) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
abc01bbbec8df6018b1ccc06153a1aa6 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [249, 253], "expectation_value": -0.791324978647205, "params": [0.4585, 0.2876, 0.2647, 0.26530000000000004, 0.28390000000000004, 0.2801, 0.49610000000000004, 0.4934, 0.4985, 0.4944, 0.4978, 0.5007, 0.5049, 0.4984, 0.4973, 0.5055000000000001, 0.43770000000000003, 0.4106, 0.2551, 0.2575, 0.5073, 0.5023, 0.281... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(2) @ Z(6)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(5) @ Z(3)) + 0.... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100001010", "01100100010", "11100000010", "010101000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4585) q[0];
ry(0.2647) q[1];
ry(0.2839) q[2];
ry(0.4961) q[3];
ry(0.4985) q[4];
ry(0.4978) q[5];
ry(0.5049) q[6];
ry(0.4973) q[7];
ry(0.4377) q[8];
ry(0.2551) q[9];
ry(0.5073) q[10];
crx(0.4842) q[10], q[0];
crx(0.1655) q[9], q[10];
crx(-0.3432) q[8], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-8480892412568612317 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3], [1, 2], [0, 3], [3, 4], [0, 5]]} | {"states": [21, 42], "expectation_value": -0.05487581612644267, "params": [[0.0719], [-0.07780000000000001]], "bitstrings": ["101010", "010101"], "total_optimization_steps": 10, "probabilities": [0.017386712599654422, 0.017386712599654422], "optimization_time": 1.2006630897521973} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101010", "010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(0.0719) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(0.0719) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(0.0719) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.0719) q[4];
cx q[3], q[4];
cx q[0], q[5];
rz(0.0719... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[2];
rz(x0) q[2];
cx q[3], q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [411, 413], "expectation_value": -5.7106844257852964, "params": null, "bitstrings": ["001100100", "001100010"], "total_optimization_steps": 64, "probabilities": [0.05865541747741875, 0.8578073217068284], "optimization_time": 85.67528486251831} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[5], q[2];
ry(1.3762) q[1];
cry(-0.5042) q[1], q[2];
ry(1.1464) q[5];
cry(-1.3967) q[5], q[3];
cry... | null | {"start_node": 0, "end_node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 18.23257803916931} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[2];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[1];
cry(0.1188) q[1], q[2];
cry(0.1186) q[1], q[3];
cry(-0.0027)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
-5878809023929893674 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 3], [1, 9], [8, 3, 4], [1, 12, 7], [2, 12, 6], [0, 1, 6], [11, 2, 3], [10, 4], [9, 7], [9, 12, 4], [0, 12, 6], [10, 5], [8, 4, 7], [3, 7], [0, 9, 11], [2, 4], [11, 6], [0, 5], [0, 10, 11], [3, 5, 6], [0, 9, 4], [9, 10], [8, 11], [2, 12, 7], [10, 3... | {"states": [7284, 971], "expectation_value": -2.5430780889326803, "params": [[0.2384], [-0.228]], "bitstrings": ["0001110001011", "1110000110100"], "total_optimization_steps": 30, "probabilities": [0.0010680617477434845, 0.0011252257245339934], "optimization_time": 43.63016748428345} | 0.5 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.3333333333333333 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @... | 1 | 13 | 1 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666668, "smallest_bitstrings": ["1110000110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[3], q[0];
rz(0.2384) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0795) q[1];
cx q[0], q[1];
cx q[0], q[9];
rz(0.1589) q[9];
cx q[0], q[9];
cx q[1], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
... | null | {"circuits": [], "gradients": []} |
5430902418863047479 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 4, 6], [0, 9, 2, 7], [4, 7], [2, 10], [8, 9, 10], [0, 3], [8, 3, 5, 7], [0, 10, 5, 7], [8, 3, 4, 6], [10, 4], [2, 5], [6, 7], [8, 3, 5, 6], [0, 9, 10], [8, 4, 5], [8, 9, 2, 6], [1, 3, 6], [9, 3], [10, 3, 7]]} | {"states": [1597, 1599], "expectation_value": -3.3229027924871946, "params": [1.3932, 1.3994, 0.4567, 1.3866, 0.3486, 0.3133, 0.3815, 0.44060000000000005, 0.36610000000000004, 0.34700000000000003, 1.3938000000000001, 1.4001000000000001, 1.3940000000000001, 1.3955, 0.9754, 0.6804, 1.3921000000000001, 1.3907, 1.1775, 0.9... | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.25 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z... | 14 | 11 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.583333333333333, "smallest_bitstrings": ["00111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.3932) q[0];
ry(0.4567) q[1];
ry(0.3486) q[2];
ry(0.3815) q[3];
ry(0.3661) q[4];
ry(1.3938) q[5];
ry(1.394) q[6];
ry(0.9754) q[7];
ry(1.3921) q[8];
ry(1.1775) q[9];
ry(1.3863) q[10];
crx(0.9339) q[10], q[0];
crx(0.7118) q[9], q[10];
crx(0.3712) q[8], q[9... | OPENQASM 3.0;
include "stdgates.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": []} |
4d9e1d8b3b11f3e10faaac0ed524e33d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [109, 93], "expectation_value": -22.433699831140167, "params": [[0.029, 0.007200000000000001, -0.0125], [-0.0738, -0.0688, -0.0494]], "bitstrings": ["10010010", "10100010"], "total_optimization_steps": 10, "probabilities": [0.01272109008389809, 0.01589364059839817], "optimization_time": 11.837775945663452} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 5.0 * Z(0) + 1.0 * Z(2) + 7.0 * Z(3) + 15.0... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.261) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(0.261) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(0.261) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.261) q[5];
cx q[2], q[5];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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]}"} | {"circuits": [], "gradients": []} |
59c7593c47cfd4ca2ab0ec4e9d99b357 | 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": 6}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 4}, {"capacity": 6, "source": 1, ... | {"states": [0, 127], "expectation_value": -3.6403537581834526, "params": [[-0.06770000000000001, -0.042800000000000005], [0.0792, 0.07050000000000001]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.013097237919046816, 0.013690944102099705], "optimization_time": 4.205956459... | -1.0 * (Z(0) @ Z(6)) + -1.0 * (Z(7) @ Z(6)) + 1.25 * (Z(7) @ Z(0)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(1) @ Z(7)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -2.75 * (Z(2) @ Z(4)) + -1.75 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[0];
rz(0.1354) q[0];
cx q[6], q[0];
cx q[6], q[7];
rz(0.1354) q[7];
cx q[6], q[7];
cx q[0], q[7];
rz(-0.1693) q[7];
cx q[0], q[7];
cx q[6], q[1];
rz(0.1693) q[1];
cx q[6], q[1];
cx q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7156872953976631337 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2], [6, 7], [10, 7], [2, 4], [0, 1, 4, 6], [8, 9, 5, 1], [8, 3, 5, 6], [1, 2, 5, 6], [9, 6]]} | {"states": [1653, 1141], "expectation_value": -3.271855746217246, "params": [1.9700000000000002, 0.3, 1.1706, 0.0027, 1.175, 0.9117000000000001, 0.7768, 0.0039000000000000003, -0.0013000000000000002, -0.9479000000000001, -0.0017000000000000001, 0.0037, 0.5504, -0.602, 0.4757, 0.0047, 1.9612, 0.3003, 1.1815, 0.007200000... | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.1... | 5 | 11 | 1 | {"smallest_eigenvalues": [-3.3333333333333344], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.333333333333333, "smallest_bitstrings": ["01110001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.97) q[0];
rz(0.3) q[0];
rx(1.175) q[1];
rz(0.9117) q[1];
rx(-0.0013) q[2];
rz(-0.9479) q[2];
rx(0.5504) q[3];
rz(-0.602) q[3];
rx(1.9612) q[4];
rz(0.3003) q[4];
rx(1.942) q[5];
rz(0.3323) q[5];
rx(1.6901) q[6];
rz(0.2829) q[6];
rx(-0.0021) q[7];
rz(0.50... | OPENQASM 3.0;
include "stdgates.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": []} |
-367811824994540458 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 5, 6, 7, 8], [0, 1, 2, 3, 5, 7, 8], [4, 6], [3, 5, 6], [1, 2, 3, 6, 7, 8], [8, 0, 2, 4], [2, 3, 4, 5, 7], [8, 2, 4, 5]]} | {"states": [315, 443], "expectation_value": -1.2414472688160951, "params": [1.0916000000000001, -0.0002, 1.0926, 0.0067, 1.093, 0.0006000000000000001, 1.0882, 0.0076, 1.0745, -0.0018000000000000002, 1.0356, 0.006, 1.0952, -0.0031000000000000003, 1.0942, 0.004, 1.1006, -0.0005, 1.0935000000000001, 0.0085, 1.0979, -0.004... | 0.047619047619047616 * (Z(0) @ Z(1)) + 0.08095238095238094 * (Z(2) @ Z(1)) + 0.13095238095238093 * (Z(2) @ Z(0)) + 0.047619047619047616 * (Z(5) @ Z(1)) + 0.047619047619047616 * (Z(5) @ Z(0)) + 0.18095238095238095 * (Z(5) @ Z(2)) + 0.05714285714285714 * (Z(6) @ Z(1)) + 0.023809523809523808 * (Z(6) @ Z(0)) + 0.0571428571... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.066666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.066666666666666, "smallest_bitstrings": ["001000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0916) q[0];
rz(-0.0002) q[0];
rx(1.093) q[1];
rz(0.0006) q[1];
rx(1.0745) q[2];
rz(-0.0018) q[2];
rx(1.0952) q[3];
rz(-0.0031) q[3];
rx(1.1006) q[4];
rz(-0.0005) q[4];
rx(1.0979) q[5];
rz(-0.0045) q[5];
rx(1.0302) q[6];
rz(-0.0026) q[6];
rx(1.0952) 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": []} |
e29bfda33a1d7f43206bf01d0ef0c119 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "... | {"states": [120, 4088], "expectation_value": -20.650168244266524, "params": [[[-0.0028, 0.006], [-0.0025, 0.0058000000000000005], [-0.0027, 0.0034000000000000002], [0.0029000000000000002, 0.0036000000000000003], [1.4806000000000001, 0.0088], [0.0017000000000000001, 0.005200000000000001], [-0.0022, 0.0018000000000000002... | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0028) q[0];
rz(0.006) q[0];
rx(-0.0025) q[1];
rz(0.0058) q[1];
rx(-0.0027) q[2];
rz(0.0034) q[2];
rx(0.0029) q[3];
rz(0.0036) q[3];
rx(1.4806) q[4];
rz(0.0088) q[4];
rx(0.0017) q[5];
rz(0.0052) q[5];
rx(-0.0022) q[6];
rz(0.0018) q[6];
rx(-0.002) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} |
c31960310eb284d493a369e45529e3bd | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 3}, {"weight": 16, "source": 1, "tar... | {"states": [241, 236], "expectation_value": -12.732395109879885, "params": [[0.0443], [-0.0784]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.004476004192883366, 0.004860559581969099], "optimization_time": 1.9684059619903564} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(6)) + 16.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.3987) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3987) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3987) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3987) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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],... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
77760a3072423fe2d8d9fc0c2352593a | 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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [257, 256], "expectation_value": -12.088975281054887, "params": [-0.0024000000000000002, 0.2058, -0.006, 0.1302, -0.0007, 0.23670000000000002, -0.0034000000000000002, 0.23320000000000002, 0.30360000000000004, -0.0005, 0.3044, -0.0001, -0.0022, 0.2353, -0.0047, 0.232, 0.0001, 0.21730000000000002, -0.003400000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -1.25 * (Z(9) @ Z(3)) + -0.25 * (Z(9) @ Z(7)) + -0.5 * (Z(9) @ Z(1)) + -1.25 * (Z(6... | 6 | 11 | 3 | {"smallest_eigenvalues": [-13.0, -13.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.0, "smallest_bitstrings": ["11011111111", "11011111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0024) q[0];
rz(0.2058) q[0];
rx(-0.0007) q[1];
rz(0.2367) q[1];
rx(0.3036) q[2];
rz(-0.0005) q[2];
rx(-0.0022) q[3];
rz(0.2353) q[3];
rx(0.0001) q[4];
rz(0.2173) q[4];
rx(0.0029) q[5];
rz(0.2081) q[5];
rx(-0.0025) q[6];
rz(0.2255) q[6];
rx(-0.0081) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
4ed726aae078bfe2f9a3821bb086f453 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [96, 97], "expectation_value": -4.621699601751906, "params": [-0.0154, 0.34690000000000004, -0.0112, 0.0038, 0.7989, 0.194, 0.8028000000000001, 0.009600000000000001, 0.8062, 0.039400000000000004, 0.8006000000000001, 0.0005, 0.6145, 0.45830000000000004, 0.6094, 0.0009000000000000001, 0.6182000000000001, -0.36... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + -1.0 * Z(1) ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["11010110", "10011110", "11100110", "10101110", "01111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0154) q[0];
rz(0.3469) q[0];
rx(0.7989) q[1];
rz(0.194) q[1];
rx(0.8062) q[2];
rz(0.0394) q[2];
rx(0.6145) q[3];
rz(0.4583) q[3];
rx(0.6182) q[4];
rz(-0.3698) q[4];
rx(-0.0062) q[5];
rz(-0.38) q[5];
rx(-0.0094) q[6];
rz(0.4403) q[6];
rx(0.8069) 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": []} |
e17d4522d06c74511ede822588421ebb | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "... | {"states": [4063, 4095], "expectation_value": -14.402355794228374, "params": [0.2389, 0.6318, 0.07930000000000001, 0.0073, 1.2019, 0.42860000000000004, -0.9327000000000001, 0.0026000000000000003, 1.8036, 2.0695, 0.081, 0.009000000000000001, 1.8208000000000002, 2.6159000000000003, 0.07970000000000001, 0.0022, -1.7466000... | 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(0) @ Z(5)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(10)) ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-18.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2389) q[0];
rz(0.6318) q[0];
rx(1.2019) q[1];
rz(0.4286) q[1];
rx(1.8036) q[2];
rz(2.0695) q[2];
rx(1.8208) q[3];
rz(2.6159) q[3];
rx(-1.7466) q[4];
rz(2.7194) q[4];
rx(-1.0868) q[5];
rz(2.7032) q[5];
rx(-0.4505) q[6];
rz(0.1593) q[6];
rx(0.4472) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 0} | {"circuits": [], "gradients": []} |
3129908168487924992 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[10, 6], [0, 1, 2, 3, 4, 6, 7, 9], [1, 2, 3, 5, 8, 10], [1, 2, 3, 4, 5, 7, 9, 10, 11, 12], [12, 5, 6], [0, 11, 3, 6], [1, 3, 5, 7, 8, 10], [0, 2, 3, 4, 10, 11], [0, 1, 2, 3, 7, 12], [0, 1, 4, 10, 12], [3, 4, 6, 7, 11], [1, 4, 5, 8, 11], [0, 2, 3, 5, 7... | {"states": [5023, 5055], "expectation_value": -4.322553685741948, "params": [1.5862, 1.5599, 0.0025, 0.0023, -0.003, -0.0033, 1.5975000000000001, 1.5488000000000002, 1.6593, 1.4876, 1.931, 1.2055, -0.003, -0.003, 0.8118000000000001, 0.8134, 1.5653000000000001, 1.5705, 1.5748, 1.5729, 1.5788, 1.5721, 1.5704, 1.577300000... | 0.5 * (Z(10) @ Z(6)) + 0.10119047619047619 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(10)) + 0.05119047619047619 * (Z(1) @ Z(6)) + 0.16944444444444443 * (Z(1) @ Z(10)) + 0.15833333333333333 * (Z(1) @ Z(0)) + 0.10119047619047619 * (Z(2) @ Z(6)) + 0.11944444444444444 * (Z(2) @ Z(10)) + 0.27619047619047615 * (Z(2) @ Z(0)) + 0.17... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.347222222222223], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.320238095238096, "smallest_bitstrings": ["0110001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5862) q[0];
ry(0.0025) q[1];
ry(-0.003) q[2];
ry(1.5975) q[3];
ry(1.6593) q[4];
ry(1.931) q[5];
ry(-0.003) q[6];
ry(0.8118) q[7];
ry(1.5653) q[8];
ry(1.5748) q[9];
ry(1.5788) q[10];
ry(1.5704) q[11];
ry(1.573) q[12];
crz(-0.0032) q[12], q[0];
crz(-0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9e14ad1f9402d7c930c6166736d23de7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [73, 75], "expectation_value": -9.496393832694867, "params": null, "bitstrings": ["110110110", "110110100"], "total_optimization_steps": 41, "probabilities": [0.37650477325892784, 0.3777717933096009], "optimization_time": 46.966042041778564} | -0.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(7)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.5 * Z(7) + 1.5 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -8.5, "smallest_bitstrings": ["110110100", "111111110", "100110100", "111111100", "100110000", "110110010", "110110000", "110110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[8];
ry(-1.5708) q[0];
ry(-1.5708) q[4];
cry(-1.5708) q[8], q[3];
cry(-1.5681) q[8], q[1];
cry(-1.5486) q[8], q[6];
cry(1.4449) q[2], q[5];
cry(1.0464) q[5], q[2];
cry(0.0421) ... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
44db6493095286b918fb0c5bac33de1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [203, 107], "expectation_value": -37.254546661429075, "params": null, "bitstrings": ["00110100", "10010100"], "total_optimization_steps": 100, "probabilities": [0.057206048320369615, 0.39438522917744046], "optimization_time": 179.80604314804077} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 6.0 * Z(0) + 12.0 * Z(2) + 14.0 * Z(1) + 0.0 * Z(3) + 15... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(8.8595) q[4];
ry(22.4081) q[1];
ry(63.2613) q[2];
ry(10.617) q[7];
ry(63.0833) q[6];
cry(62.605) q[4], q[2];
cry(23.8282) q[6], q[2];
cry(-11.7947) q[4], q[1];
ry(-0.0629) q[0];
ry(0.3559) q[5]... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
5144181ac27497fdfa9bdb5b8b799630 | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}]} | {"states": [235, 427], "expectation_value": -6.516720859775182, "params": null, "bitstrings": ["100010100", "001010100"], "total_optimization_steps": 71, "probabilities": [0.10732474291520576, 0.8012628927503078], "optimization_time": 162.04637360572815} | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.25 * (Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["001010100", "100010001"]} | 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(1.5706) q[8];
ry(1.5706) q[1];
cry(1.5681) q[1], q[3];
cry(-1.0342) q[7], q[4];
cry(1.4138) q[1], q[5];
cry(1.067) q[8], q[7];
cry(-0.9143) q[5], q[4];
cry(-1.416) q[0], q[2];
cry(-1.38... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 1}, {"id": 0}], "edges": [{"source": 2, "target": 1}, {"source": 1, "target": 0}]}} | {"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(1.5706) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
655689708e73cb2de5fff319b9c5049e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21802, 21866], "expectation_value": -1.4343939502988867, "params": [[1.4644000000000001, 1.4698, 0.43820000000000003, 1.4114, 0.47740000000000005, 1.4758, 0.44380000000000003, 1.4789, 0.4297, 0.5001, 1.1435, 0.4429, 1.4763000000000002, 0.4259, 1.4788000000000001, 0.456], [0.4383, 1.1443, 0.4706, 1.450200000... | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0006172839506172839 * (Z(4) @ Z(0)) + -0.00046296296296296303 * (Z(4) @ Z(2)) + 0.0006172839506172839 * (Z(5) @ Z(1)) + -0.00046296296296296303 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.0182098765431826], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0182098765431555, "smallest_bitstrings": ["1010101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.4644) q[0];
ry(1.4698) q[1];
ry(0.4382) q[2];
ry(1.4114) q[3];
ry(0.4774) q[4];
ry(1.4758) q[5];
ry(0.4438) q[6];
ry(1.4789) q[7];
ry(0.4297) q[8];
ry(0.5001) q[9];
ry(1.1435) q[10];
ry(0.4429) q[11];
ry(1.4763) q[12];
ry(0.4259) q[13];
ry(1.4788) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
7f8130041c7238405b90f5906c17ffea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [362, 364], "expectation_value": -73.893455293527, "params": [[[0.6066, 0.0882], [0.23470000000000002, 0.1277], [0.6915, 0.3239], [0.6847000000000001, 0.46990000000000004], [0.1092, 0.4737], [0.4722, 0.5355], [0.0742, 0.4727], [0.5913, 0.6798000000000001], [0.3381, -0.10450000000000001]], [[0.4611, 0.1545], ... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(0)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 15.5 * Z(2) + 23.5 * Z(0) + 16.0 * Z(3) + -... | 15 | 9 | 4 | {"smallest_eigenvalues": [-100.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.6066) q[0];
ry(0.2347) q[1];
ry(0.6915) q[2];
ry(0.6847) q[3];
ry(0.1092) q[4];
ry(0.4722) q[5];
ry(0.0742) q[6];
ry(0.5913) q[7];
ry(0.3381) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
1949b28e1aa10ea2a276346fd4c09def | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": ... | {"states": [2046, 1534], "expectation_value": -18.7989364467633, "params": [[[0.007200000000000001, 1.9697], [0.00030000000000000003, -0.009300000000000001], [1.55, -0.0019], [0.0027, 0.0022], [0.0029000000000000002, 0.0022], [0.003, 0.0022], [0.0041, 0.0021000000000000003], [0.0032, 0.0021000000000000003], [0.0027, 0.... | -0.75 * (Z(0) @ Z(4)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(11) @ Z(0)) + -0.75 * (Z(2) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(11)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(5)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(10) @ Z(4)) + -0.75 * (Z... | 15 | 12 | 2 | {"smallest_eigenvalues": [-20.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["101000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0072) q[0];
ry(0.0003) q[1];
ry(1.55) q[2];
ry(0.0027) q[3];
ry(0.0029) q[4];
ry(0.003) q[5];
ry(0.0041) q[6];
ry(0.0032) q[7];
ry(0.0027) q[8];
ry(0.0035) q[9];
ry(-0.003) q[10];
ry(0.002) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[8]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
04fe200220cb0278b572d83172c75de9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 6... | {"states": [4, 5], "expectation_value": -9.249999999982546, "params": null, "bitstrings": ["1111011", "1111010"], "total_optimization_steps": 23, "probabilities": [4.6560002562450655e-12, 0.9999999999936049], "optimization_time": 18.020704984664917} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.25 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + -0.75 * Z(5) + 0.75 * Z(6) + 0.0 * Z(3) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["1111110", "1111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[4];
cry(-1.5708) q[4], q[2];
ry(-1.5486) q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(1.5708) q[6];
ry(-1.5681) q[3];
cry(-0.0222) q[4], q[5];
cry(-0.0027) q[6], q[0];
cry(-0.0027) q[6], q[3]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
f3f2872870ba47278d97d5dc1b7df9d5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4},... | {"states": [508, 511], "expectation_value": -0.7928236681626071, "params": [[0.0673], [-0.057300000000000004]], "bitstrings": ["11000000011", "11000000000"], "total_optimization_steps": 10, "probabilities": [0.0007531323442627849, 0.0007757473742794509], "optimization_time": 0.9276578426361084} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + 0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["11000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.2019) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.2692) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.2019) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.2692... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2]... | {"node": 2} | {"circuits": [], "gradients": []} |
f8645113517905e1df1749520352d679 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 192.10289764404297} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(7.7632) q[5];
ry(-0.0267) q[4];
cry(0.4218) q[5], q[4];
ry(0.383) q[6];
ry(0.383) q[2];
cry(-1.118) q[5], q[6];
cry(-1.118) q[5], q[2];
ry(4.0096) q[7];
ry(2.1271) q[0];
cry(-4.0386) q[... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
348c13052b9cd507aa792296e385f0a4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [3, 1], "expectation_value": -9.499987376089177, "params": null, "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 20, "probabilities": [1.2623858499060669e-05, 0.9999873761304554], "optimization_time": 17.719234228134155} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.75 * Z(2) + 1.5 * Z(6) + -1.0 * Z(3) + -0.5 * Z(4) + -0.25 * Z(5) | 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];
ry(1.5708) q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(-1.5681) q[2];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
cry(-0.1188) q[6], q[5];
cry(-0.0027) q[6], q[2];
cry(-0.0027) q[6], q[3];
c[0]... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[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", "... |
11576eab70c2ec583415b5e8bd58f9e2 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [60, 85], "expectation_value": -0.5196202729266521, "params": [[0.0671, 0.06330000000000001, 0.07010000000000001, 0.0794], [-0.0668, -0.0443, -0.0514, -0.0663]], "bitstrings": ["1000011", "0101010"], "total_optimization_steps": 10, "probabilities": [0.016333732499215634, 0.01633373249921565], "optimization_t... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(2) @ Z(6) @ Z(3)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0101010", "1000011"]} | 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(0.0336) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0336) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0336) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0336) q[0];
cx q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d92b7c12d97dc605feea13254bd8dff9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [43, 41], "expectation_value": -6.26666521656577, "params": null, "bitstrings": ["1010100", "1010110"], "total_optimization_steps": 28, "probabilities": [0.2134849812769365, 0.21348894007073743], "optimization_time": 22.701814651489258} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(2) + -0.75 * Z(4) + 0.75 * Z(6) + 0.75 * Z(3) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["1110110", "1110100", "1010100", "1010110"]} | 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(-1.5681) q[6], q[0];
ry(1.111) q[6];
ry(-1.5706) q[2];
ry(-1.5708) q[4];
ry(-0.5668) q[0];
ry(1.5576) q[3];
cry(0.3562) q[3], q[6];
cry(-0.1713) q[3], q[0];
cry(0.0835) q[1], q[6];
cry(-0.0377) q[1], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.5681) 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... |
-6009607352826141625 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[6, 7], [2, 5, 7], [2, 3, 6], [1, 4, 5], [0, 3, 5], [0, 2], [1, 2, 5], [0, 1, 5, 6], [1, 2, 4, 6], [2, 4, 5], [0, 1, 3, 4], [1, 3, 4, 6], [1, 3, 5, 7]]} | {"states": [126, 118], "expectation_value": -1.8680710703674455, "params": [0.9753000000000001, 0.001, 0.8056000000000001, 0.0036000000000000003, 1.0032, 0.0039000000000000003, 1.0005, 0.0063, 0.9956, 0.0031000000000000003, 0.9937, 0.0001, 0.9933000000000001, -0.002, 0.9968, 0.0022, 0.9936, 0.0025, 0.991, 0.0088, 1.004... | 0.5 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.416666666666666, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9753) q[0];
rz(0.001) q[0];
rx(1.0032) q[1];
rz(0.0039) q[1];
rx(0.9956) q[2];
rz(0.0031) q[2];
rx(0.9933) q[3];
rz(-0.002) q[3];
rx(0.9936) q[4];
rz(0.0025) q[4];
rx(1.0047) q[5];
rz(0.0037) q[5];
rx(0.9974) q[6];
rz(-0.0029) q[6];
rx(0.9909) 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": []} |
e8fdec38f32f10530d269f6547919d57 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [118, 171], "expectation_value": -0.01082110521901436, "params": [[0.0146, 0.0098], [-0.023100000000000002, -0.019100000000000002]], "bitstrings": ["10001001", "01010100"], "total_optimization_steps": 10, "probabilities": [0.003994363873324808, 0.003994363873324811], "optimization_time": 6.24955940246582} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(6) @ Z(2)) + 0.125 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["10001001", "01010100"]} | 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(0.0073) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0073) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0073) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0073) q[0];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
de8cc468e237fc0b01b4910fa798084b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 10}, {"capacity": 1, "source": 1, "target"... | {"states": [320, 448], "expectation_value": -6.841719780745733, "params": [0.0356, -0.0665, 0.0082, 0.006900000000000001, -0.0045000000000000005, 0.2399, -0.0018000000000000002, 0.2973, -0.4691, 0.0, -0.45030000000000003, -0.0007, 0.3703, 0.00030000000000000003, 0.3473, 0.0012000000000000001, 0.38730000000000003, -0.0,... | -0.5 * (Z(0) @ Z(5)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(3)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(7)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(8)... | 6 | 11 | 2 | {"smallest_eigenvalues": [-7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25, -7.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -6.25, "smallest_bitstrings": ["11000111000", "11000101000", "11000111111", "11000100000", "10000100000", "11000110000", "11010111111", "10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0356) q[0];
rz(-0.0665) q[0];
rx(-0.0045) q[1];
rz(0.2399) q[1];
rx(-0.4691) q[2];
rz(0) q[2];
rx(0.3703) q[3];
rz(0.0003) q[3];
rx(0.3873) q[4];
rz(0) q[4];
rx(-0.0062) q[5];
rz(0.3648) q[5];
rx(-0.0062) q[6];
rz(0.3464) q[6];
rx(-0.0007) q[7];
rz(0.38... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
aa017fe03799a772a3aff0770f4d70b4 | 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": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -0.16514132318657673, "params": [[-0.053000000000000005], [0.06770000000000001]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.008532995938633804, 0.008548728308679159], "optimization_time": 1.4750206470489502} | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000000", "1110000", "1110100", "1010100", "1100100", "1110110", "1100000", "1010000", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.106) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(0.106) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(-0.1325) q[6];
cx q[0], q[6];
cx q[6], q[3];
rz(0.0265) q[3];
cx q[6], q[3];
cx q[5], q[1];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a0628360268c8eb96b056d55b8025a10 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 0, "target":... | {"states": [295, 359], "expectation_value": -3.788441664998295, "params": [[[-0.0017000000000000001, 0.0032], [1.7060000000000002, 0.0058000000000000005], [0.43820000000000003, 0.0046], [1.6478000000000002, 0.0063], [1.7089, 0.0015], [0.0304, 0.0031000000000000003], [1.4773, 0.0008], [1.7138, 0.0048000000000000004], [1... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + -0.5 * Z(3) + -2.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(7) + 0.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1010011000", "1011010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0017) q[0];
rz(0.0032) q[0];
rx(1.706) q[1];
rz(0.0058) q[1];
rx(0.4382) q[2];
rz(0.0046) q[2];
rx(1.6478) q[3];
rz(0.0063) q[3];
rx(1.7089) q[4];
rz(0.0015) q[4];
rx(0.0304) q[5];
rz(0.0031) q[5];
rx(1.4773) q[6];
rz(0.0008) q[6];
rx(1.7138) 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": []} |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [33, 3], "expectation_value": -7.022080796587442, "params": [[0.0221, -0.0292, -0.0591, -0.0335], [-0.0425, 0.014, 0.0604, 0.059500000000000004]], "bitstrings": ["011110", "111100"], "total_optimization_steps": 10, "probabilities": [0.031201631731180346, 0.03199571801778643], "optimization_time": 7.753401279... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5... | 14 | 6 | 4 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0995) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0995) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0995) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0995) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0995... | OPENQASM 3.0;
include "stdgates.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": 4} | {"circuits": [], "gradients": []} |
10b46313f5ba69fed433ce41b4ff5c0d | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"sour... | {"states": [124, 127], "expectation_value": -9.949430488473563, "params": null, "bitstrings": ["10000011", "10000000"], "total_optimization_steps": 94, "probabilities": [0.0866798027316276, 0.4987206574507992], "optimization_time": 180.42838072776794} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[3], q[4];
cry(1.5708) q[4], q[1];
cry(0.7959) q[1], q[3];
cry(1.5709) q[1], q[2];
cry(-0.7959) q[1], q[4];
cry(-0.0448) q[2], q[4];
ry(-0.1289) q[4];
cry(1.2567) q[7], q[4];
cry(0.62... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
2284924743996628534 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 5], [0, 4], [3, 5], [1, 2]]} | {"states": [52, 44], "expectation_value": -1.843930568633984, "params": null, "bitstrings": ["001011", "010011"], "total_optimization_steps": 37, "probabilities": [0.056481198982907675, 0.7993405445161581], "optimization_time": 26.180468320846558} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["001011", "010011", "101100", "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];
cry(-1.0342) q[3], q[5];
cry(-1.0342) q[2], q[1];
cry(-1.0342) q[0], q[4];
ry(1.0293) q[0];
ry(-0.6992) q[4];
ry(0.7003) q[3];
cry(-0.795) q[0], q[5];
cry(0.668) q[0], q[3];
cry(0.3724) q[3], q[0];
ry(0.7003) q[2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.0342) q[3], q[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 ... |
d94c7cbe7eb9ed353bda93cdb43e68ab | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1379, 1377], "expectation_value": -93.27118936864025, "params": [2.4929, 0.0038, 1.3358, 0.0041, 2.5100000000000002, 0.0097, -0.0026000000000000003, 0.0091, 2.5082, 0.0026000000000000003, 2.5043, 0.0018000000000000002, 1.0696, 0.0061, -0.0019, 0.0055000000000000005, -0.0024000000000000002, 0.0067, 1.4814, 0... | 7.5 * (Z(2) @ Z(0)) + 7.5 * (Z(1) @ Z(0)) + 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(0)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(9) @ Z(0)) + 7.5 * (Z(9) @ Z(4)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(9)) + 25.0 * Z(0) + 15.0 * Z(2) + 5.0 * Z(1) + 21.5 * Z(4) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -117.0, "smallest_bitstrings": ["01010011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.4929) q[0];
rz(0.0038) q[0];
rx(1.3358) q[1];
rz(0.0041) q[1];
rx(2.51) q[2];
rz(0.0097) q[2];
rx(-0.0026) q[3];
rz(0.0091) q[3];
rx(2.5082) q[4];
rz(0.0026) q[4];
rx(2.5043) q[5];
rz(0.0018) q[5];
rx(1.0696) q[6];
rz(0.0061) q[6];
rx(-0.0019) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
9dd8266042fcde8d0f7c760b71b9c0f3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 6}, {"source": 1, "target": 8}, {"sour... | {"states": [250, 218], "expectation_value": -3.954551560487369, "params": [[[0.11130000000000001, -0.24830000000000002], [0.608, -0.0016], [0.5764, 0.0015], [0.4877, -0.0646], [0.6083000000000001, 0.0034000000000000002], [0.5999, 0.0039000000000000003], [0.0015, 0.2846], [0.6094, 0.0006000000000000001], [-0.0073, 0.323... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(8)) + -0.5 * Z(4) + -1.0 * Z(0) + -0.5 * Z(7) + -2.0 * Z(8) + -0.5 * Z(1) + -1.0 * Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["100100101", "101000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1113) q[0];
rz(-0.2483) q[0];
rx(0.608) q[1];
rz(-0.0016) q[1];
rx(0.5764) q[2];
rz(0.0015) q[2];
rx(0.4877) q[3];
rz(-0.0646) q[3];
rx(0.6083) q[4];
rz(0.0034) q[4];
rx(0.5999) q[5];
rz(0.0039) q[5];
rx(0.0015) q[6];
rz(0.2846) q[6];
rx(0.6094) 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": []} |
eaf152c9366c1fc70b9994ec462b6b4c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 17.83027672767639} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["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];
ry(-1.5708) q[2];
ry(-1.5681) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0342) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [65147, 56955], "expectation_value": -16.503346760159854, "params": [0.9317000000000001, 0.9295, 1.5772000000000002, 1.5763, 0.7679, 0.77, 1.5699, 1.5733000000000001, 1.5783, 1.5774000000000001, 1.1584, 1.1517, 1.5781, 1.5742, 0.7668, 0.7586, 0.7648, 0.7608, 1.4919, 1.4884000000000002, 1.1619000000000002, 1.... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 13 | 16 | 1 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.9317) q[0];
ry(1.5772) q[1];
ry(0.7679) q[2];
ry(1.5699) q[3];
ry(1.5783) q[4];
ry(1.1584) q[5];
ry(1.5781) q[6];
ry(0.7668) q[7];
ry(0.7648) q[8];
ry(1.4919) q[9];
ry(1.1619) q[10];
ry(1.5797) q[11];
ry(1.5815) q[12];
ry(0.7612) q[13];
ry(1.5795) q[14]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
3d1dde02abe951da208ed22501079cfd | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.810945553155134, "params": [[[0.2631, 0.18480000000000002], [0.2581, 0.18460000000000001], [0.2534, -0.1859], [0.2569, 0.1852], [0.2029, -0.1942], [0.5967, 0.0014], [0.6, -0.0013000000000000002], [0.5887, 0.002]], [[0.26030000000000003, 0.18480000000000002], [0.26230000000000... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2631) q[0];
rz(0.1848) q[0];
rx(0.2581) q[1];
rz(0.1846) q[1];
rx(0.2534) q[2];
rz(-0.1859) q[2];
rx(0.2569) q[3];
rz(0.1852) q[3];
rx(0.2029) q[4];
rz(-0.1942) q[4];
rx(0.5967) q[5];
rz(0.0014) q[5];
rx(0.6) q[6];
rz(-0.0013) q[6];
rx(0.5887) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
63ad1599f1fdc150fea495e3f4eaeb55 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [85, 21], "expectation_value": -3.2445236685958463, "params": [[[0.7057, -0.0664], [-0.0039000000000000003, 0.4615], [0.9024000000000001, 0.0009000000000000001], [0.08120000000000001, 0.4092], [0.9103, 0.0026000000000000003], [-0.006200000000000001, -0.4591], [0.8641000000000001, -0.002]], [[0.7094, 0.0023],... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(6) + -1.0 * Z(3) + -1.0 * Z(4) + -0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101011", "1001110", "1101010", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.7057) q[0];
rz(-0.0664) q[0];
rx(-0.0039) q[1];
rz(0.4615) q[1];
rx(0.9024) q[2];
rz(0.0009) q[2];
rx(0.0812) q[3];
rz(0.4092) q[3];
rx(0.9103) q[4];
rz(0.0026) q[4];
rx(-0.0062) q[5];
rz(-0.4591) q[5];
rx(0.8641) q[6];
rz(-0.002) q[6];
rx(0.7094) q[0];
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": []} |
3257eb74c5059c972aa1cf1f57c7841b | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [857, 1881], "expectation_value": -2.0526036855542285, "params": [0.4988, 0.4307, 0.5945, 0.5995, 0.5927, 0.5934, 0.33080000000000004, 0.2891, 0.5994, 0.6041000000000001, 0.34890000000000004, 0.3306, 0.6056, 0.6001000000000001, 0.5975, 0.5961000000000001, 0.1585, 0.1578, -0.0, -0.0005, 0.6028, 0.603300000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 14 | 11 | 2 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.75, "smallest_bitstrings": ["00011001010", "00010110010", "01010100010", "01000100110", "00100100110", "00101000110", "10000100110", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4988) q[0];
ry(0.5945) q[1];
ry(0.5927) q[2];
ry(0.3308) q[3];
ry(0.5994) q[4];
ry(0.3489) q[5];
ry(0.6056) q[6];
ry(0.5975) q[7];
ry(0.1585) q[8];
ry(0) q[9];
ry(0.6028) q[10];
crx(0.5928) q[10], q[0];
crx(0.1813) q[9], q[10];
crx(0.0033) q[8], q[9];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fb354d60453679d679afcbc2ef259e36 | 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": 1, "target": 3}, {"weight": 1, "source": 1, "target": 4}, {"weight": 1, "... | {"states": [1706, 1642], "expectation_value": -1.2795097902409713, "params": null, "bitstrings": ["100101010101", "100110010101"], "total_optimization_steps": 100, "probabilities": [0.03782799337115321, 0.4884400634916205], "optimization_time": 307.9408359527588} | 0.25 * (Z(0) @ Z(1)) + -0.0009765625 * (Z(2) @ Z(0)) + -0.0009765625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0011718750000000002 * (Z(4) @ Z(0)) + 0.0005859375000000001 * (Z(4) @ Z(2)) + -0.0011718750000000002 * (Z(5) @ Z(1)) + 0.0005859375000000001 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-1.5107421875000009, -1.5107421875000009], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5103515625000004, "smallest_bitstrings": ["100110010101", "011001101010"]} | 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(-0.5959) q[8], q[9];
cry(-0.5947) q[6], q[7];
cry(-0.5951) q[2], q[3];
cry(-0.5941) q[10], q[11];
cry(-0.5934) q[5], q[4];
cry(-0.5941) q[1], q[0];
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(-0.5959) 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... |
8e4b273e62e3bdbcb042f56fe9c0bd31 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [40, 42], "expectation_value": -1.7923931369002626, "params": [[[1.7112, 0.0041], [-0.0026000000000000003, 0.0025], [1.7043000000000001, 0.0097], [0.4494, 0.0066], [1.6199000000000001, 0.0023], [0.4531, 0.006200000000000001]]], "bitstrings": ["010111", "010101"], "total_optimization_steps": 170, "probabiliti... | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(5) @ Z(2)) + -0.25 * Z(0) + -0.25 * Z(2) + -0.75 * Z(1) + -0.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.7112) q[0];
rz(0.0041) q[0];
rx(-0.0026) q[1];
rz(0.0025) q[1];
rx(1.7043) q[2];
rz(0.0097) q[2];
rx(0.4494) q[3];
rz(0.0066) q[3];
rx(1.6199) q[4];
rz(0.0023) q[4];
rx(0.4531) q[5];
rz(0.0062) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measur... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
9645644fcb46d75a104e4de81b9201a7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -3.500099261266812, "params": [0.0021000000000000003, 0.1761, 0.0033, 0.43160000000000004, 0.0009000000000000001, 0.44930000000000003, 0.0004, 0.43860000000000005, 0.003, 0.4529, 0.453, 0.15990000000000001, 0.6077, 0.0041, -0.004, 0.2797, 0.002, 0.40190000000000003, 0.0051, 0.459... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0021) q[0];
rz(0.1761) q[0];
rx(0.0033) q[1];
rz(0.4316) q[1];
rx(0.0009) q[2];
rz(0.4493) q[2];
rx(0.0004) q[3];
rz(0.4386) q[3];
rx(0.003) q[4];
rz(0.4529) q[4];
rx(0.453) q[5];
rz(0.1599) q[5];
rx(0.6077) q[6];
rz(0.0041) q[6];
crz(-0.0022) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a887d91f9606dc8ffadccd46fa1ed57b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capaci... | {"states": [23, 17], "expectation_value": -2.875854388866949, "params": [[-0.055900000000000005, -0.042800000000000005, -0.0412, -0.032100000000000004], [0.0729, 0.0656, 0.056100000000000004, 0.0494]], "bitstrings": ["101000", "101110"], "total_optimization_steps": 10, "probabilities": [0.03983698083618147, 0.044613463... | -1.5 * (Z(0) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 3.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + -2.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 1.5 * Z(5) + 1.0 * Z(1) + -0.75 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "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];
cx q[2], q[0];
rz(0.1677) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.1398) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.3354) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.1118) q[5];
cx q[3], q[5];
cx q[2], q[1];
rz(0.055... | OPENQASM 3.0;
include "stdgates.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": []} |
b3537f2efdfe83419ab29e4b33e9908d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1364, 1362], "expectation_value": -94.67578863888127, "params": [0.778, 0.10300000000000001, 0.0036000000000000003, 0.7646000000000001, 0.8784000000000001, 0.2083, -0.0049, 0.666, 0.8121, 0.2215, 0.0021000000000000003, 0.5657, 0.7768, 0.1263, 0.0021000000000000003, 0.7939, 0.7277, -0.2556, 0.834900000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(3) @ Z(2)) + 7.5 * (Z(4) @ Z(3)) + 7.5 * (Z(5) @ Z(4)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + -5.5 * Z(1) + -1.5 * Z(0) + 10.0 * Z(2) + 3.0 * Z(3) + 8.5 * Z(4) + 2.5 * Z(5) + 10.0 * Z(6) + -3.0 * Z(7) + 1.5 * Z(8) + 0.0 * Z(9) + -12.5 * Z... | 18 | 11 | 4 | {"smallest_eigenvalues": [-101.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -93.0, "smallest_bitstrings": ["01010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.778) q[0];
rz(0.103) q[0];
rx(0.0036) q[1];
rz(0.7646) q[1];
rx(0.8784) q[2];
rz(0.2083) q[2];
rx(-0.0049) q[3];
rz(0.666) q[3];
rx(0.8121) q[4];
rz(0.2215) q[4];
rx(0.0021) q[5];
rz(0.5657) q[5];
rx(0.7768) q[6];
rz(0.1263) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
92977879d93808800c1e23dcfc7674ef | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -7.745831462960979, "params": null, "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 16, "probabilities": [0.004146169462670658, 0.9958365055879695], "optimization_time": 11.676794528961182} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "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];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
ry(-1.5486) q[2];
ry(-1.5706) q[4];
ry(-1.5706) q[1];
ry(-1.4448) q[0];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[0];
cry(-0.0222) q[6], q[2];
cry(0.0011) q[6], q[3];
c[0] ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b112e2ea9564e5424aa1ebbe167f5e45 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -3.3185225672245875, "params": [[-0.35150000000000003], [0.3623]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 40, "probabilities": [0.03490046796336431, 0.039157955251377066], "optimization_time": 2.3413333892822266} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111010", "11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3515) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1758) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.1758) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.3515) q[5];
cx q[3], q[5];
cx q[1],... | 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": []} |
-7689664516211218550 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 4, 5, 7], [1, 2, 3], [8, 5, 6], [0, 3, 4, 7], [8, 1, 2, 4], [0, 8], [0, 3, 5], [2, 3, 5, 6], [3, 6, 7], [1, 3, 4], [8, 1, 2, 7], [1, 4, 5], [0, 1], [8, 2, 3, 4], [1, 2, 6], [4, 6, 7], [0, 2, 3, 4], [8, 1, 3]]} | {"states": [187, 235], "expectation_value": -2.211968150749886, "params": [[0.2686], [-0.26880000000000004]], "bitstrings": ["101000100", "100010100"], "total_optimization_steps": 30, "probabilities": [0.006701227571461603, 0.007038393315734095], "optimization_time": 10.696087121963501} | 0.13333333333333333 * (Z(0) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(0)) + 0.21666666666666667 * (Z(5) @ Z(4)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(4)) + 0.05 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.283333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.199999999999998, "smallest_bitstrings": ["100010100"]} | 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(0.0716) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(0.1612) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.1164) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(0.0716) 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] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
aaa0b19e64bf3c35281517d1fd2e9593 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}]} | {"states": [0, 8], "expectation_value": -2.638233411820533, "params": [0.0028, 0.2878, 0.398, -0.0009000000000000001, 0.0013000000000000002, 0.30770000000000003, -0.0, -0.0819, 0.0032, -0.2882, 0.0018000000000000002, 0.2831, 0.3985, 0.0016, 0.0029000000000000002, 0.3118, 0.0066, -0.2802, 0.0028, -0.2848, 0.0032, 0.2761... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(1)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3) @ Z(1... | 16 | 5 | 4 | {"smallest_eigenvalues": [-3.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.125, "smallest_bitstrings": ["10111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.0028) q[0];
rz(0.2878) q[0];
rx(0.398) q[1];
rz(-0.0009) q[1];
rx(0.0013) q[2];
rz(0.3077) q[2];
rx(0) q[3];
rz(-0.0819) q[3];
rx(0.0032) q[4];
rz(-0.2882) q[4];
crz(0.0049) q[1], q[0];
crz(0.1032) q[3], q[2];
crz(-0.2959) q[2], q[1];
crz(0.297) q[4], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a0d9e7890df5adf810df05a9e670aeef | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 5}, {"weight": 19, "source": 1, "target": 3}, {... | {"states": [219, 122], "expectation_value": -30.906453949255713, "params": [[-0.0442, -0.0006000000000000001, 0.0059, 0.0054], [0.0804, 0.06280000000000001, 0.055900000000000005, 0.0528]], "bitstrings": ["00100100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.02020777887050977, 0.024570295050361332... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 10.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.3536) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3536) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3536) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.3536) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
da3c81488557dc57e6e1f0bd43d65336 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 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": -7.891721402908425, "params": [-0.8959, -0.8301000000000001, 0.0025, 0.0025, 0.0022, 0.0023, 0.0026000000000000003, 0.0026000000000000003, 0.0024000000000000002, 0.0028, 2.1386000000000003, 1.8149000000000002, 1.3193000000000001, -0.0023, 2.4881, 2.4532000000000003, 2.4109000000... | -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) | 14 | 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;
ry(-0.8959) q[0];
ry(0.0025) q[1];
ry(0.0022) q[2];
ry(0.0026) q[3];
ry(0.0024) q[4];
crx(2.1386) q[4], q[0];
crx(2.473) q[3], q[4];
crx(2.4109) q[2], q[3];
crx(2.4881) q[1], q[2];
crx(1.3193) q[0], q[1];
ry(-0.8301) q[0];
ry(0.0025) q[1];
ry(0.0023) q[2];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 5} | {"circuits": [], "gradients": []} |
a0920f6fd063d6b549a981507890566f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 8}, {"source": 1, "target":... | {"states": [402, 403], "expectation_value": -6.4236189741098375, "params": [[0.0027, 0.5381, 1.0129000000000001, 0.0017000000000000001, -0.0027, 1.5851000000000002, -0.0023, -0.0067, 1.0463, 0.7773], [0.0026000000000000003, 1.6062, 1.5959, 0.0017000000000000001, 0.0019, 1.5865, -0.0023, 0.0016, 1.2549000000000001, 1.60... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(9) ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1011100100", "1001101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0027) q[0];
ry(0.5381) q[1];
ry(1.0129) q[2];
ry(0.0017) q[3];
ry(-0.0027) q[4];
ry(1.5851) q[5];
ry(-0.0023) q[6];
ry(-0.0067) q[7];
ry(1.0463) q[8];
ry(0.7773) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
58d5079ae810098a08bdc89e8c7451de | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [694, 678], "expectation_value": -92.26698996554974, "params": [0.0017000000000000001, 0.8795000000000001, 1.304, 0.1545, 0.47640000000000005, 0.4843, 1.2968, 0.2526, 0.5265000000000001, 0.5314, 1.3032000000000001, 0.22840000000000002, 0.8377, 0.4521, 0.3013, 0.6215, 1.3057, 0.0024000000000000002, 1.3045, -0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(3)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(2)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + -6.0 * Z(0) + 13.5 * Z(1) + 15.5 *... | 18 | 11 | 2 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["10101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0017) q[0];
rz(0.8795) q[0];
rx(1.304) q[1];
rz(0.1545) q[1];
rx(0.4764) q[2];
rz(0.4843) q[2];
rx(1.2968) q[3];
rz(0.2526) q[3];
rx(0.5265) q[4];
rz(0.5314) q[4];
rx(1.3032) q[5];
rz(0.2284) q[5];
rx(0.8377) q[6];
rz(0.4521) q[6];
rx(0.3013) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | matching | qaoa | {"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": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [122, 118], "expectation_value": -25.349815804756123, "params": [[0.0352, 0.008, -0.0102], [-0.0819, -0.065, -0.053700000000000005]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014827302248483531, 0.017365607686456976], "optimization_time": 5.878480672836304} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2816) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2816) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2816) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2816) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
6de3ca972134e3b2df718cabf76739a9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [56, 49], "expectation_value": -4.9999374822341585, "params": null, "bitstrings": ["000111", "001110"], "total_optimization_steps": 26, "probabilities": [1.6356494444747167e-05, 0.9999687417661175], "optimization_time": 22.289201498031616} | 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(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -2.0 * Z(4) + 0.0 * Z(1) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[3];
ry(-1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[5];
cry(-0.1259) q[5], q[2];
cry(0.1217) q[1], q[0];
cry(0.1216) q[0], q[5];
cry(0.1186) q[5], q[1];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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... |
6127224946031228756 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [2, 5, 7], [2, 4, 5, 6], [0, 4], [0, 2, 3], [1, 3, 5], [1, 2, 6], [3, 7]]} | {"states": [60, 62], "expectation_value": -2.589564117227163, "params": null, "bitstrings": ["11000011", "11000001"], "total_optimization_steps": 56, "probabilities": [0.10424259437397847, 0.6701494795421118], "optimization_time": 79.40965676307678} | 0.5 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(2)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.8333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7500000000000004, "smallest_bitstrings": ["11000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5158) q[2];
cry(-1.0339) q[5], q[0];
ry(1.0223) q[5];
cry(-0.8193) q[4], q[0];
cry(1.1103) q[5], q[4];
cry(-1.1854) q[3], q[7];
ry(0.9638) q[3];
ry(-0.6454) q[7];
cry(-0.3633) q[2], q[0];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5158) 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[... |
3b37ad6154eb4e67d2d2dbbac7bc63c9 | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -9.330556677614476, "params": [0.006, -0.1612, 0.0005, -0.2305, 0.004, -0.2131, -0.001, -0.2883, 0.0045000000000000005, -0.2639, 0.0012000000000000001, -0.2899, 0.0029000000000000002, -0.2899, 0.004, -0.2938, 0.0054, -0.1291, 0.0013000000000000002, -0.20600000000000002, 0.0037, -... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(2)) + -0.25 * (Z(9) @ ... | 5 | 10 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.006) q[0];
rz(-0.1612) q[0];
rx(0.004) q[1];
rz(-0.2131) q[1];
rx(0.0045) q[2];
rz(-0.2639) q[2];
rx(0.0029) q[3];
rz(-0.2899) q[3];
rx(0.0054) q[4];
rz(-0.1291) q[4];
rx(0.0037) q[5];
rz(-0.2875) q[5];
rx(0.0014) q[6];
rz(-0.2928) q[6];
rx(0.0018) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -0.44771787613829317, "params": [[-0.013600000000000001, -0.0475, -0.051000000000000004], [-0.0356, 0.044000000000000004, 0.057800000000000004]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.021355461968389246, 0.021626698168862143], "o... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["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[1], q[0];
rz(0.0136) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0136) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0136) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(0.034) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(0.034) ... | OPENQASM 3.0;
include "stdgates.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": []} |
-2286651177694543539 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 4, 5], [0, 6], [1, 3, 5], [0, 2, 5], [3, 4, 6], [0, 1, 2, 4], [1, 3, 4], [2, 4, 6], [2, 3]]} | {"states": [51, 78], "expectation_value": -0.07518849037207254, "params": [[0.06420000000000001], [-0.0623]], "bitstrings": ["1001100", "0110001"], "total_optimization_steps": 10, "probabilities": [0.008403751870388033, 0.008448853913779959], "optimization_time": 3.9675209522247314} | 0.41666666666666663 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(4))... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.583333333333333, "smallest_bitstrings": ["0110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[1];
rz(0.0535) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(0.0214) q[5];
cx q[4], q[5];
cx q[1], q[5];
rz(0.0428) q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(0.0107) q[0];
cx q[4], q[0];
cx q[1], q[0];
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": []} |
159605454403235196 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[3, 4], [1, 5], [1, 4], [0, 4], [2, 5]]} | {"states": [3, 60], "expectation_value": -0.038874619264913965, "params": [[-0.062200000000000005], [0.06330000000000001]], "bitstrings": ["111100", "000011"], "total_optimization_steps": 10, "probabilities": [0.016863170773728703, 0.016863170773728703], "optimization_time": 0.5400791168212891} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["111100", "000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(-0.0622) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(-0.0622) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(-0.0622) q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(-0.0622) q[0];
cx q[4], q[0];
cx q[5], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[4], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [109, 115], "expectation_value": -2.838724855327932, "params": null, "bitstrings": ["10010010", "10001100"], "total_optimization_steps": 52, "probabilities": [0.08383982851123065, 0.6270265834518883], "optimization_time": 127.00760269165039} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(3) @ Z(5)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(6) @ Z(1)) + 0.0625 * (Z(7) @ Z(1)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-3.3125, -3.3125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.3125, "smallest_bitstrings": ["10010010", "10001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.4449) q[0];
ry(1.3806) q[2];
cry(-1.3016) q[6], q[5];
ry(1.2971) q[1];
cry(-1.2962) q[3], q[4];
ry(1.0184) q[7];
cry(-0.4703) q[3], q[5];
cry(0.8318) q[3], q[6];
cry(-0.4248) q[6], q[4];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.4449) q[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... |
875432ff472df3f44dd39cf730465f12 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [895, 1023], "expectation_value": -16.29771069841626, "params": null, "bitstrings": ["10010000000", "10000000000"], "total_optimization_steps": 100, "probabilities": [0.10203759985498607, 0.27700712377299286], "optimization_time": 298.0301921367645} | -2.5 * (Z(1) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2... | 1 | 11 | 1 | {"smallest_eigenvalues": [-37.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.0, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[9], q[10];
cry(1.5709) q[10], q[6];
cry(1.2044) q[6], q[8];
cry(0.1661) q[6], q[7];
cry(0.0544) q[8], q[7];
cry(0.0985) q[10], q[7];
ry(-0.0183) q[7];
cry(... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[9], q[10];\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... |
4413b37b42a52e52110e0d852f104f23 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 8}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [298, 362], "expectation_value": -6.374666508365889, "params": [[0.7868, 0.0033, 0.4912, 0.552, 0.0068000000000000005, 0.7943, -0.0051, 0.7949, 0.0134], [0.788, 0.0035, 0.8, 0.7982, -0.0082, 0.7942, 0.0004, 0.7946000000000001, 0.0033], [0.7894, 0.0031000000000000003, 0.24810000000000001, 0.2632, 0.0052000000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 *... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["110000101", "110001100", "010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7868) q[0];
ry(0.0033) q[1];
ry(0.4912) q[2];
ry(0.552) q[3];
ry(0.0068) q[4];
ry(0.7943) q[5];
ry(-0.0051) q[6];
ry(0.7949) q[7];
ry(0.0134) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 3.0;
include "stdgates.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": []} |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [0, 1], "expectation_value": -16.90305210248888, "params": [0.0033, 0.331, -0.0028, 0.451, 0.0001, 0.4219, 0.0008, 0.4551, 0.0027, 0.45370000000000005, 0.0014, 0.44980000000000003, 0.6, 0.0081, 0.0039000000000000003, 0.29710000000000003, -0.0021000000000000003, 0.4565, 0.0077, 0.36300000000000004, 0.0056, 0.... | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 3 | 7 | 3 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0033) q[0];
rz(0.331) q[0];
rx(-0.0028) q[1];
rz(0.451) q[1];
rx(0.0001) q[2];
rz(0.4219) q[2];
rx(0.0008) q[3];
rz(0.4551) q[3];
rx(0.0027) q[4];
rz(0.4537) q[4];
rx(0.0014) q[5];
rz(0.4498) q[5];
rx(0.6) q[6];
rz(0.0081) q[6];
crz(0.0075) q[6], q[5];
cr... | OPENQASM 3.0;
include "stdgates.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": []} |
bd53ef77fd6623e9c326cf57ce2d586e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [0, 1008], "expectation_value": -0.5662161963091181, "params": [[0.031400000000000004], [-0.0239]], "bitstrings": ["1111111111", "0000001111"], "total_optimization_steps": 10, "probabilities": [0.0011173454096420775, 0.0011353550393944172], "optimization_time": 3.8669185638427734} | -3.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(4)) + -2.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -2.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-30.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["0000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.1884) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1884) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1256) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0942) q[4];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(... | {"node": 7} | {"circuits": [], "gradients": []} |
e8682d15a47baf43b69c6a7c2f587149 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1340, 1324], "expectation_value": -129.81949899900218, "params": [0.7923, 0.2197, 0.1824, 0.40840000000000004, 0.7873, 0.010400000000000001, 0.0022, 0.522, -0.0046, 0.49660000000000004, 0.7938000000000001, 0.09630000000000001, 0.34540000000000004, 0.2472, 0.7898000000000001, 0.007, 0.7864, 0.005800000000000... | 7.5 * (Z(0) @ Z(1)) + 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(7) @ Z(8)) + 7.5 * (Z(5) @ Z(8)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(6) @ Z(2)) + 7.5 * (Z(6) @ Z(8)) + 7.5 * (Z(6) @ Z(7)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(9) @ Z(7)) + 7.5 * (Z(10) @ Z(0)) + 4.5 * Z(1) + 9.5 * Z(0) + -6.5 * ... | 18 | 11 | 4 | {"smallest_eigenvalues": [-140.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -119.0, "smallest_bitstrings": ["01011010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7923) q[0];
rz(0.2197) q[0];
rx(0.1824) q[1];
rz(0.4084) q[1];
rx(0.7873) q[2];
rz(0.0104) q[2];
rx(0.0022) q[3];
rz(0.522) q[3];
rx(-0.0046) q[4];
rz(0.4966) q[4];
rx(0.7938) q[5];
rz(0.0963) q[5];
rx(0.3454) q[6];
rz(0.2472) q[6];
rx(0.7898) 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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
836c884d7f0cabd4f561d6ff6961863c | 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": 6}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 1, ... | {"states": [125, 127], "expectation_value": -0.7449060651234021, "params": [[-0.0597], [0.06380000000000001]], "bitstrings": ["10000010", "10000000"], "total_optimization_steps": 10, "probabilities": [0.005501043134021596, 0.005561290268825004], "optimization_time": 2.725130081176758} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(1)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["10000000", "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];
cx q[6], q[0];
rz(0.0597) q[0];
cx q[6], q[0];
cx q[3], q[1];
rz(0.0896) q[1];
cx q[3], q[1];
cx q[6], q[4];
rz(0.0597) q[4];
cx q[6], q[4];
cx q[3], q[4];
rz(0.1194) q[4];
cx q[3], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
d43453685b1c72da1e89a0cf4ce7db6e | 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": [993, 865], "expectation_value": -100.23140500156396, "params": [0.0024000000000000002, 0.0057, 2.7959, 0.001, 2.7936, 0.0036000000000000003, 1.5487, 0.004200000000000001, 2.8031, 0.004, 2.7932, 0.0006000000000000001, 0.9865, 0.0017000000000000001, -0.0017000000000000001, 0.0015, 0.0025, 0.0059, 0.4262, 0.00... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(8) @ Z(1)) + 7.0 * (Z(9) @ Z(2)) + 7.0 * (Z(9) @ Z(4)) + 7.0 * (Z(7) @ Z(10)) + 23.5 * Z(2) + 14.5 * Z(1) + 11.5 * Z(3) + 21.0 * Z(4) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-119.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -115.0, "smallest_bitstrings": ["10010011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0024) q[0];
rz(0.0057) q[0];
rx(2.7959) q[1];
rz(0.001) q[1];
rx(2.7936) q[2];
rz(0.0036) q[2];
rx(1.5487) q[3];
rz(0.0042) q[3];
rx(2.8031) q[4];
rz(0.004) q[4];
rx(2.7932) q[5];
rz(0.0006) q[5];
rx(0.9865) q[6];
rz(0.0017) q[6];
rx(-0.0017) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
3555833434836637574 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [1, 6], [1, 7], [4, 7], [5, 6], [2, 3], [2, 5], [0, 2], [1, 3], [6, 7], [1, 5], [2, 7], [0, 6]]} | {"states": [97, 106], "expectation_value": -3.94380603977992, "params": null, "bitstrings": ["10011110", "10010101"], "total_optimization_steps": 62, "probabilities": [0.029950367816794606, 0.8090765341284627], "optimization_time": 97.30608105659485} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(2)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01101010", "10010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[7];
cry(-1.0342) q[2], q[3];
ry(1.0293) q[2];
cry(1.4052) q[2], q[1];
cry(-0.9035) q[1], q[3];
cry(-1.5332) q[2], q[5];
cry(-1.3837) q[2], q[0];
ry(1.2108) q[6];
cry(-0.9483) ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
7137161140487166026 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 4, 9], [2, 4], [3, 6], [4, 5], [8, 7]]} | {"states": [298, 810], "expectation_value": -2.0632817101549192, "params": null, "bitstrings": ["1011010101", "0011010101"], "total_optimization_steps": 87, "probabilities": [0.18168761361735536, 0.28117355914010106], "optimization_time": 130.679301738739} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(1)) + 0.08333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + 0.12... | 1 | 10 | 1 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["0000101100", "0000101010", "0111010100", "0111010010", "1010011010", "0110... | 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(-1.0342) q[4], q[5];
ry(0.9138) q[4];
cry(-1.367) q[4], q[2];
ry(-0.6219) q[5];
cry(-1.0342) q[8], q[7];
cry(-1.0342) q[6], q[3];
ry(0.7003) q[8];
cry(0.3792) q[8], q[4];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\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] = meas... |
-2449220978883315878 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4], [1, 2, 6, 7], [0, 4], [0, 2], [0, 6, 7], [1, 2, 4, 7], [0, 1], [0, 3, 5], [1, 3], [1, 2, 5, 6], [2, 3, 5, 7], [4, 5, 6, 7], [0, 5, 6]]} | {"states": [109, 110], "expectation_value": -0.10587902157582896, "params": [[-0.0589], [0.0703]], "bitstrings": ["10010010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.0043033975959010165, 0.00433164893437119], "optimization_time": 0.9317677021026611} | 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.749999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(-0.0589) q[3];
cx q[4], q[3];
cx q[4], q[1];
rz(-0.0098) q[1];
cx q[4], q[1];
cx q[3], q[1];
rz(-0.0589) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(-0.0098) q[2];
cx q[4], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
e0b9c24fb45ae4a4b516382818d3356a | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": ... | {"states": [0, 888], "expectation_value": -16.11406779545355, "params": [-0.4587, 0.7503000000000001, 0.2346, 0.7311000000000001, -0.45480000000000004, 0.802, -0.3829, 0.8455, 0.0046, 0.5438000000000001, -0.0108, 0.5327000000000001, -0.4335, 0.8964000000000001, -0.4273, 1.0415, 0.3779, -0.0877, 0.044700000000000004, 0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + -2.5 * (Z(2) @ Z(7)) + 1.0 * (Z(9) @ Z(7)) + -2.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 *... | 6 | 10 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["0010000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.4587) q[0];
rz(0.7503) q[0];
rx(-0.4548) q[1];
rz(0.802) q[1];
rx(0.0046) q[2];
rz(0.5438) q[2];
rx(-0.4335) q[3];
rz(0.8964) q[3];
rx(0.3779) q[4];
rz(-0.0877) q[4];
rx(0.4491) q[5];
rz(-0.223) q[5];
rx(0.3221) q[6];
rz(0.0442) q[6];
rx(0.0006) 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": []} |
51b2e32c5f0b0ad4a9a3e5f1ef3bba66 | 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": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -40.35471184367812, "params": [1.1505, 0.8461000000000001, 0.18560000000000001, 0.0056, 1.1212, -2.5135, 0.2883, 0.002, -0.0059, 2.7045000000000003, -0.002, 0.0078000000000000005, -1.0230000000000001, 0.8453, 0.2767, 0.009000000000000001, 0.0014, 0.4214, 0.0013000000000000002, ... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 1.0 * (Z(3) @ Z(8)) + 1.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + -2.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + -3.5 * (Z(5) @ Z(3)) + 1.5... | 6 | 9 | 1 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1505) q[0];
rz(0.8461) q[0];
rx(1.1212) q[1];
rz(-2.5135) q[1];
rx(-0.0059) q[2];
rz(2.7045) q[2];
rx(-1.023) q[3];
rz(0.8453) q[3];
rx(0.0014) q[4];
rz(0.4214) q[4];
rx(0.0034) q[5];
rz(2.6451) q[5];
rx(-0.0024) q[6];
rz(1.1618) q[6];
rx(0.0013) 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": 5} | {"circuits": [], "gradients": []} |
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