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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9915ff93784d747e82bcd9a73a2399e5 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [1, 3], "expectation_value": -3.0987550439233815, "params": [[[0.7082, 0.006500000000000001], [1.0393000000000001, 0.009600000000000001], [0.9879, 0.008700000000000001], [1.6007, 0.008], [1.6015000000000001, 0.0068000000000000005]]], "bitstrings": ["11110", "11100"], "total_optimization_steps": 160, "probabi... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.7082) q[0];
rz(0.0065) q[0];
rx(1.0393) q[1];
rz(0.0096) q[1];
rx(0.9879) q[2];
rz(0.0087) q[2];
rx(1.6007) q[3];
rz(0.008) q[3];
rx(1.6015) q[4];
rz(0.0068) q[4];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3];
c[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;
input float[64] x9;
bit[5] c;
qubit[5] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q... | {"k": 3} | {"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": 186.9710168838501} | 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 | 4 | {"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... |
4bc37b26da0f51222429a67e38d55b8f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [105, 255], "expectation_value": -6.7944012935947855, "params": null, "bitstrings": ["110010110", "100000000"], "total_optimization_steps": 100, "probabilities": [0.09217069642915929, 0.6256919901891174], "optimization_time": 223.29312777519226} | -0.25 * (Z(0) @ Z(4)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(4)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -1.0 * (Z(1) @ Z(7)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(8)) + -0.75 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[3];
cry(1.5486) q[3], q[5];
ry(1.5708) q[2];
cry(1.5158) q[7], q[1];
cry(1.2283) q[1], q[7];
cry(1.5485) q[1], q[6];
cry(-1.3851) q[8], q[0];
ry(1.058) q[8];
cry(-0.5704) q[3]... | 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(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
0f435eed505f807fb8dc44643dfd43ce | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [5, 20], "expectation_value": -2.973039785722057, "params": null, "bitstrings": ["11010", "01011"], "total_optimization_steps": 15, "probabilities": [0.07436433115379543, 0.8991266787991344], "optimization_time": 9.656469106674194} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["11010", "01011", "10011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[4];
ry(0.6944) q[0];
ry(-0.451) q[4];
cry(0.4963) q[2], q[0];
cry(-0.3778) q[2], q[4];
cry(-0.1177) q[2], q[1];
cry(0.1069) q[0], q[2];
cry(-0.072... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
6b8130ebe692df9628e386b5e0979c6b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "s... | {"states": [91, 223], "expectation_value": -4.114211884129158, "params": [[0.06770000000000001, 0.0678], [-0.0679, -0.0719]], "bitstrings": ["110100100", "100100000"], "total_optimization_steps": 10, "probabilities": [0.005970554648612391, 0.006905905217430857], "optimization_time": 4.626546621322632} | -1.5 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(6) @ Z(1)) + -1.5 * (Z(6) @ Z(2)) + -1.75 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["100100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(-0.2031) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(-0.0339) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0677) q[5];
cx q[0], q[5];
cx q[4], q[5];
rz(-0.237) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
4060c6f62958c919d94369053740f9b8 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [312, 314], "expectation_value": -5.06943833199848, "params": [0.3039, 0.3083, -0.010100000000000001, -0.0081, 0.0795, 0.07730000000000001, 0.3073, 0.3099, 0.31010000000000004, 0.30460000000000004, 0.2977, 0.2999, 0.0745, 0.0767, 0.3002, 0.3049, -0.008400000000000001, -0.0027, 0.3085, 0.3043, -0.0146, -0.012... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + -1.0 * Z(6) + 0.0 * Z(0) + -2.0 * ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3039) q[0];
ry(-0.0101) q[1];
ry(0.0795) q[2];
ry(0.3073) q[3];
ry(0.3101) q[4];
ry(0.2977) q[5];
ry(0.0745) q[6];
ry(0.3002) q[7];
ry(-0.0084) q[8];
crx(0.2656) q[8], q[0];
crx(0.1126) q[7], q[8];
crx(-0.2119) q[6], q[7];
crx(-0.1237) q[5], q[6];
crx(0.2... | 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] 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 fl... | null | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [37, 7], "expectation_value": -6.950769278611542, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10567978594697186, 0.607881399029803], "optimization_time": 61.32445430755615} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 12 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8911) q[5];
cry(-1.5708) q[4], q[0];
ry(0.8231) q[4];
cry(-1.5708) q[3], q[2];
ry(0.8108) q[3];
ry(-0.4038) q[1];
ry(-0.3329) q[0];
ry(-0.2881) q[2];
cry(0.3811) q[4], q[5];
cry(0.37... | null | {"k": 3} | {"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(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
43307769d8a05a2ca68cecbc0fed0778 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [25, 31], "expectation_value": -0.3829794477265981, "params": [[-0.0553, -0.038400000000000004, -0.041800000000000004], [0.07250000000000001, 0.054200000000000005, 0.055600000000000004]], "bitstrings": ["100110", "100000"], "total_optimization_steps": 10, "probabilities": [0.021047707537333774, 0.02194437491... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.75 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -1.0 * Z(4) + -0.25 * Z(5) + 1.0 * Z(2) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100000", "100010", "100110"]} | 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(0.0277) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0277) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(0.0553) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0829) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.027... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] 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": []} |
598a895484db1dd124dda8633fc7a99c | 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": 4, "source": 0, "t... | {"states": [121, 109], "expectation_value": -26.644327329937138, "params": [[-0.033100000000000004, 0.0014, -0.003, 0.0086], [0.060200000000000004, 0.0495, 0.06520000000000001, 0.0651]], "bitstrings": ["10000110", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015695215224985046, 0.01705933221321218],... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 2.0 * Z(0) + 10.0 * Z(2) + 18.0 * Z(1) + 18.0 * Z(4) + 12.5 * Z(5) + 4.5 * Z(3... | 1 | 8 | 4 | {"smallest_eigenvalues": [-61.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "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[0], q[2];
rz(-0.2979) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.2979) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.2979) q[1];
cx q[2], q[1];
cx q[1], q[4];
rz(-0.2979) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
3796afa0473620b48d81bea69c86f42d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, ... | {"states": [26, 60], "expectation_value": -0.36624470200968173, "params": [[0.0175, 0.07970000000000001], [0.014, -0.061000000000000006]], "bitstrings": ["1100101", "1000011"], "total_optimization_steps": 10, "probabilities": [0.009004703603555925, 0.009370772203186193], "optimization_time": 3.251466989517212} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(2) + -2.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.5 * Z(5) + -2.0 * Z(... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["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[2], q[0];
rz(0.0175) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0175) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0175) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0175) q[5];
cx q[0], q[5];
cx q[4], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
587dcb6e41d84a9813084cbb00af17fd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [256, 768], "expectation_value": -28.16428176581342, "params": [-0.0033, 0.17930000000000001, 0.0004, 0.21760000000000002, -0.2718, 0.0074, -0.2775, 0.0051, 0.2982, -0.0002, 0.3075, -0.0004, 0.0018000000000000002, 0.18760000000000002, 0.0013000000000000002, 0.18330000000000002, -0.0024000000000000002, 0.2384... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(0)) + -1.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(10)) + -0.5 * (Z(1) @ Z(7)) + -2.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(8)) + -2.25 * (Z(9... | 6 | 11 | 3 | {"smallest_eigenvalues": [-31.25, -31.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.25, "smallest_bitstrings": ["11011111111", "10011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0033) q[0];
rz(0.1793) q[0];
rx(-0.2718) q[1];
rz(0.0074) q[1];
rx(0.2982) q[2];
rz(-0.0002) q[2];
rx(0.0018) q[3];
rz(0.1876) q[3];
rx(-0.0024) q[4];
rz(0.2384) q[4];
rx(-0.0064) q[5];
rz(0.2108) q[5];
rx(0.0018) q[6];
rz(0.2143) q[6];
rx(0) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
1561028793734728821 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[2, 6], [8, 6], [0, 6], [8, 1], [9, 5], [3, 6], [8, 4], [9, 7], [10, 6]]} | {"states": [632, 594], "expectation_value": -0.03158325219762899, "params": [[0.047], [-0.0376]], "bitstrings": ["10110000111", "10110101101"], "total_optimization_steps": 10, "probabilities": [0.0005197013744019177, 0.0005197013744019177], "optimization_time": 90.83186340332031} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(10) @ Z(6)) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(9) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 ... | 13 | 11 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["10110000111", "10110101101", "01001010010", "01001111000"]} | 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[6], q[2];
rz(0.047) q[2];
cx q[6], q[2];
cx q[6], q[8];
rz(0.047) q[8];
cx q[6], q[8];
cx q[6], q[0];
rz(0.047) q[0];
cx q[6], q[0];
cx q[8], q[1];
rz(0.047) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[6], q[0];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
866ee5d574b2d90a8b20695233762fdc | 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": [413, 397], "expectation_value": -107.91566875620265, "params": [0.602, 0.0098, -0.0026000000000000003, 0.0064, 2.7018, 0.0, 2.7049000000000003, 0.0041, 0.8837, 0.0073, 0.003, 0.008, 1.4766000000000001, 0.0097, 2.7062, 0.0088, 2.7042, 0.0029000000000000002, 0.003, 0.0077, 2.6985, 0.0086, 0.0049, 0.0023, 0.00... | 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(6) @ Z(2)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(0) @ Z(7)) + 8.0 * (Z(10) @ Z(7)) + 8.0 * (Z(10) @ Z(0)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * Z(3) + 14.0 * Z(2) + 3.5 * Z(4) + 14.5 * Z(8) +... | 18 | 11 | 1 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["11001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.602) q[0];
rz(0.0098) q[0];
rx(-0.0026) q[1];
rz(0.0064) q[1];
rx(2.7018) q[2];
rz(0) q[2];
rx(2.7049) q[3];
rz(0.0041) q[3];
rx(0.8837) q[4];
rz(0.0073) q[4];
rx(0.003) q[5];
rz(0.008) q[5];
rx(1.4766) q[6];
rz(0.0097) q[6];
rx(2.7062) q[7];
rz(0.0088)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
ed17940d27aebadda70c31c5b11d2e16 | 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": 9, "source": 0, "t... | {"states": [342, 218], "expectation_value": -9.623698332446963, "params": [[0.057], [-0.08270000000000001]], "bitstrings": ["010101001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004794337238121549, 0.005395608269866585], "optimization_time": 1.9230084419250488} | 4.5 * (Z(0) @ Z(1)) + 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(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "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(0.513) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.513) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(0.513) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(0.513) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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": []} |
86f7cf811774c9dc1f8ac7ebefafd51c | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "source": 2, "target": 5}, {"weight": 1, "... | {"states": [2714, 1370], "expectation_value": -1.5011412937615578, "params": [[[3.1614, 0.009000000000000001], [-1.6183, 0.0089], [3.16, 0.0045000000000000005], [2.032, 0.0012000000000000001], [3.1595, 0.0041], [-1.6177000000000001, 0.0025], [3.1616, 0.0097], [1.5131000000000001, 0.0066], [3.1608, 0.0023], [-1.618, 0.0... | 0.25 * (Z(0) @ Z(1)) + -0.0020000000000000005 * (Z(2) @ Z(0)) + -0.0020000000000000005 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00075 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + 0.00075 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.00025000000000000006 * (Z(6) @ Z(... | 2 | 12 | 1 | {"smallest_eigenvalues": [-1.5160000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.516, "smallest_bitstrings": ["101010100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1614) q[0];
rz(0.009) q[0];
rx(-1.6183) q[1];
rz(0.0089) q[1];
rx(3.16) q[2];
rz(0.0045) q[2];
rx(2.032) q[3];
rz(0.0012) q[3];
rx(3.1595) q[4];
rz(0.0041) q[4];
rx(-1.6177) q[5];
rz(0.0025) q[5];
rx(3.1616) q[6];
rz(0.0097) q[6];
rx(1.5131) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
42c8a30369b7a75bc5bed2e6569b1f7f | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [3, 55], "expectation_value": -4.448940342077552, "params": [[-0.060500000000000005, -0.039900000000000005, -0.0358], [0.0747, 0.0614, 0.055900000000000005]], "bitstrings": ["11111100", "11001000"], "total_optimization_steps": 10, "probabilities": [0.012160497955868495, 0.012362235428627187], "optimization_t... | -1.0 * (Z(0) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + 1.75 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -2.5 * (Z(3) @ Z(2)) + -0.75 * (Z(6) @ Z(7)) + -2.75 * Z(1) + -0.25 * Z(0) + 0.0 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-15.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.75, "smallest_bitstrings": ["11001000"]} | 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(0.121) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.2118) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0605) q[5];
cx q[0], q[5];
cx q[0], q[7];
rz(-0.2118) q[7];
cx q[0], q[7];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2398b0b8852b758caa629303970b584b | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [366, 494], "expectation_value": -2.1315220633333873, "params": [0.7806000000000001, 0.0098, 2.7966, 0.0033, 1.6478000000000002, 0.0006000000000000001, 2.1695, 0.0048000000000000004, 2.7988, 0.0024000000000000002, 0.6206, 0.0037, 2.8018, 0.0034000000000000002, 2.5216000000000003, 0.0013000000000000002, 2.796... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(0) @ Z(7)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(3) @ Z(7)) + ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.375, "smallest_bitstrings": ["0010100100", "1000010001", "0011000001", "0100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7806) q[0];
rz(0.0098) q[0];
rx(2.7966) q[1];
rz(0.0033) q[1];
rx(1.6478) q[2];
rz(0.0006) q[2];
rx(2.1695) q[3];
rz(0.0048) q[3];
rx(2.7988) q[4];
rz(0.0024) q[4];
rx(0.6206) q[5];
rz(0.0037) q[5];
rx(2.8018) q[6];
rz(0.0034) q[6];
rx(2.5216) 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": []} |
be75fa736b6b3f13db10354ba7d09fd4 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"sour... | {"states": [108, 110], "expectation_value": -5.76016942087842, "params": [[[0.0014, -0.6786], [-0.0018000000000000002, -0.7862], [1.3002, 0.0016], [1.302, -0.0016], [0.0037, 0.7160000000000001], [1.3001, -0.0024000000000000002], [1.3083, -0.0014], [0.8444, 0.0011], [0.0993, 0.5882000000000001]], [[0.0014, 0.0092], [-0.... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(4) + -1.0 * Z(7) + ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0014) q[0];
rz(-0.6786) q[0];
rx(-0.0018) q[1];
rz(-0.7862) q[1];
rx(1.3002) q[2];
rz(0.0016) q[2];
rx(1.302) q[3];
rz(-0.0016) q[3];
rx(0.0037) q[4];
rz(0.716) q[4];
rx(1.3001) q[5];
rz(-0.0024) q[5];
rx(1.3083) q[6];
rz(-0.0014) q[6];
rx(0.8444) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
df62b430c122c4297c9377287854fb07 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [13, 15], "expectation_value": -2.143931976438027, "params": null, "bitstrings": ["10010", "10000"], "total_optimization_steps": 18, "probabilities": [0.4479563463367854, 0.4479989981580356], "optimization_time": 10.35487961769104} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(1) + 0.0 * Z(4) + 0.5 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.25, -2.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.25, "smallest_bitstrings": ["10000", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.4449) q[2];
cry(1.5481) q[2], q[1];
cry(-1.3016) q[4], q[0];
ry(1.0708) q[4];
ry(-0.6818) q[0];
cry(0.39) q[1], q[4];
cry(-0.1878) q[1], q[0];
cry(0.089) q[1], q[2];
cry(0.087) q[2], q[4];
cry(-0.0399) q[2], q[0];
r... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.4449) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
bc2988918914c6533097143186d1ba3b | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "ta... | {"states": [0, 96], "expectation_value": -11.460487948774126, "params": [1.0119, 0.1131, -0.3831, 0.009600000000000001, 0.9843000000000001, 0.0328, -0.746, 0.0057, -0.0024000000000000002, 1.4377, 0.002, 0.0085, 0.0035, 1.9463000000000001, 0.0016, 0.004, 0.0032, 1.5544, 0.0029000000000000002, 0.006900000000000001, 1.009... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.5 * Z(4) + -2.5 * Z(2) + -2.0 * Z(3) + -2.5 * Z(6) + -2.0 * Z(5) | 6 | 7 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0119) q[0];
rz(0.1131) q[0];
rx(0.9843) q[1];
rz(0.0328) q[1];
rx(-0.0024) q[2];
rz(1.4377) q[2];
rx(0.0035) q[3];
rz(1.9463) q[3];
rx(0.0032) q[4];
rz(1.5544) q[4];
rx(1.0096) q[5];
rz(0.2381) q[5];
rx(-0.0057) q[6];
rz(1.9579) q[6];
crx(-0.7353) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 6} | {"circuits": [], "gradients": []} |
-2548202229677255907 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3, 7], [0, 3, 7], [1, 3, 9], [3, 4, 5, 8, 9], [9, 5, 1], [0, 2, 5], [0, 1, 3], [0, 3, 4, 6, 9], [9, 2, 7], [1, 4, 6, 7, 9], [5, 6]]} | {"states": [1014, 502], "expectation_value": -1.7465876308744575, "params": [0.6991, 0.1912, 0.6894, 0.007, 1.0866, -0.0033, 1.084, -0.0009000000000000001, 1.0957000000000001, 0.0039000000000000003, 1.1005, 0.002, 1.0898, 0.0036000000000000003, 1.0924, -0.0007, 1.1034000000000002, -0.0204, 1.0968, 0.0001, 1.0939, -0.10... | 0.4333333333333333 * (Z(9) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(3)) + 0.3833333333333333 * (Z(7) @ Z(9)) + 0.3833333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(9)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3833333333333333 * (Z(1) @ Z(9)) + 0.05 * (Z(1) @ Z(7)) + 0.166666666666... | 8 | 10 | 1 | {"smallest_eigenvalues": [-3.2333333333333325, -3.2333333333333325], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0999999999999996, "smallest_bitstrings": ["1000001001", "1000001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6991) q[0];
rz(0.1912) q[0];
rx(1.0866) q[1];
rz(-0.0033) q[1];
rx(1.0957) q[2];
rz(0.0039) q[2];
rx(1.0898) q[3];
rz(0.0036) q[3];
rx(1.1034) q[4];
rz(-0.0204) q[4];
rx(1.0939) q[5];
rz(-0.1046) q[5];
rx(0.6285) q[6];
rz(-0.2284) q[6];
rx(1.0909) 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": []} |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 172.85419154167175} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "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];
ry(1.5708) q[2];
cry(1.5708) q[2], q[4];
cry(1.5706) q[2], q[6];
cry(1.57) q[3], q[5];
cry(1.5707) q[5], q[1];
cry(1.566) q[5], q[7];
cry(1.0109) q[7], q[3];
ry(0.2929) q[5];
cry(-1.4176) q[7], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
678308485f35da941d402fc5065b7236 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4},... | {"states": [0, 1935], "expectation_value": -14.658357568091883, "params": [0.2873, 0.673, -0.6768000000000001, 0.0004, 0.9036000000000001, 0.5772, -0.8105, 0.0092, -0.9264, 1.0812000000000002, -0.1427, 0.0095, -0.9277000000000001, 1.4167, -0.11220000000000001, 0.003, 0.0017000000000000001, 1.8465, 0.0017000000000000001... | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + -1.5 * (Z(10) @ Z(2)) + -1.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(10)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.5 * Z(5) + 1.5 * Z(4) + -1.5 * Z(6) + 0.5 * Z(8) + 0.5 * Z(7... | 6 | 11 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.5, "smallest_bitstrings": ["00001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2873) q[0];
rz(0.673) q[0];
rx(0.9036) q[1];
rz(0.5772) q[1];
rx(-0.9264) q[2];
rz(1.0812) q[2];
rx(-0.9277) q[3];
rz(1.4167) q[3];
rx(0.0017) q[4];
rz(1.8465) q[4];
rx(0.0016) q[5];
rz(1.9051) q[5];
rx(0.0016) q[6];
rz(1.9111) q[6];
rx(0.931) 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": 3} | {"circuits": [], "gradients": []} |
2fde01ebb7d3cd1daf98d95b5f19909d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 16, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 3}, {... | {"states": [119, 118], "expectation_value": -22.560455398798975, "params": [[-0.0233, -0.023100000000000002, -0.0099, 0.012], [0.0477, 0.058100000000000006, 0.0502, 0.037000000000000005]], "bitstrings": ["10001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.014720617796641909, 0.01913730895502777... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 20.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "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(-0.1864) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1864) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1864) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1864) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
44edd9eabf2c794d8db092dc419f94d8 | 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": 4}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -12.00674739127697, "params": [[[-0.0073, 0.276], [0.0048000000000000004, 0.0011], [0.005200000000000001, 0.0026000000000000003], [0.003, 0.0026000000000000003], [-0.004200000000000001, -0.0027], [0.0054, 0.0025], [0.0014, 0.0022], [0.007, -0.0021000000000000003], [-0.00120... | -0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(6)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(6)) + -0.75 * (Z(9) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(10) @ ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["10000000000", "10010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0073) q[0];
ry(0.0048) q[1];
ry(0.0052) q[2];
ry(0.003) q[3];
ry(-0.0042) q[4];
ry(0.0054) q[5];
ry(0.0014) q[6];
ry(0.007) q[7];
ry(-0.0012) q[8];
ry(0.2103) q[9];
ry(0.0131) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
96aa688a41503b0eea4bda42198f6281 | 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": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [21, 53], "expectation_value": -2.5662126852785416, "params": [0.7827000000000001, 0.2147, 0.0908, 0.5054000000000001, 0.7884, 0.1721, 0.8001, 0.027800000000000002, 0.804, 0.4005, 0.8046000000000001, 0.48150000000000004, -0.0089, 0.45220000000000005, 0.8012, 0.2364, 0.7899, 0.0015, 0.09480000000000001, 0.005... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 3 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01100110", "11001010", "01101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7827) q[0];
rz(0.2147) q[0];
rx(0.0908) q[1];
rz(0.5054) q[1];
rx(0.7884) q[2];
rz(0.1721) q[2];
rx(0.8001) q[3];
rz(0.0278) q[3];
rx(0.804) q[4];
rz(0.4005) q[4];
rx(0.8046) q[5];
rz(0.4815) q[5];
rx(-0.0089) q[6];
rz(0.4522) q[6];
rx(0.8012) 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": []} |
1c71ea734fc46f5185b7f04bf57e3d21 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -29.29500037366231, "params": [-0.15130000000000002, 0.0585, -0.063, -0.0103, -0.0707, 0.2119, 0.0253, 0.2584, 0.40040000000000003, 0.0018000000000000002, 0.4052, 0.0014, 0.0034000000000000002, 0.3004, -0.0011, 0.3095, 0.006900000000000001, 0.2422, 0.0009000000000000001, 0.2528... | -1.75 * (Z(0) @ Z(4)) + -1.25 * (Z(6) @ Z(4)) + -1.5 * (Z(6) @ Z(0)) + -0.75 * (Z(9) @ Z(4)) + -1.0 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(6)) + -1.0 * (Z(1) @ Z(9)) + -1.25 * (Z(8) @ Z(1)) + -1.25 * (Z(3) @ Z(6)) + -1.75 * (Z(3) @ Z(9)) + -1.25 * (Z(3) @ Z(8)) + -1.25 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(6)) + -0.75 * (Z(5... | 6 | 11 | 2 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.5, "smallest_bitstrings": ["11011110111", "11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.1513) q[0];
rz(0.0585) q[0];
rx(-0.0707) q[1];
rz(0.2119) q[1];
rx(0.4004) q[2];
rz(0.0018) q[2];
rx(0.0034) q[3];
rz(0.3004) q[3];
rx(0.0069) q[4];
rz(0.2422) q[4];
rx(-0.024) q[5];
rz(0.0683) q[5];
rx(0.0075) q[6];
rz(0.2131) q[6];
rx(-0.3762) 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": 10} | {"circuits": [], "gradients": []} |
4ff6cd3ae35a7505dd00eb5f37bcfa52 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [82, 90], "expectation_value": -2.749672568555554, "params": [[0.2801, 1.0979, -0.0028, 1.0986, 0.9284, -0.0482, 1.0216, 0.3134], [0.5459, 1.0884, -0.003, 0.47400000000000003, 0.2901, 0.0151, 0.9923000000000001, 0.43870000000000003], [0.139, 0.9014000000000001, -0.0027, 1.1049, 1.0987, 0.0165, 1.0666, 0.0069... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(0)) + 0.125 * (Z(6) @ Z(0)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(4) @ Z(6)) + -0.125 * (Z(4) @ Z(0) @ Z(3)) + -0.125 * (Z(6) @ Z(0) @ Z(3)) + -0.125 * (Z(4) @ Z(6) @ Z(0)) + -0.125 * (Z(4)... | 10 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.375, "smallest_bitstrings": ["01100110", "10101001", "01101001", "01101010", "10100101", "10100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2801) q[0];
ry(1.0979) q[1];
ry(-0.0028) q[2];
ry(1.0986) q[3];
ry(0.9284) q[4];
ry(-0.0482) q[5];
ry(1.0216) q[6];
ry(0.3134) 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 q[1], q[0];
cz q[0], q[7];
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] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-886717712420299134 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 5], [0, 4], [4, 6], [1, 3], [5, 7], [2, 7], [0, 5], [6, 7], [4, 7], [1, 6], [1, 5], [0, 3], [1, 2], [0, 6], [5, 6]]} | {"states": [62, 193], "expectation_value": -0.1884959348038473, "params": [[0.0771], [-0.08460000000000001]], "bitstrings": ["11000001", "00111110"], "total_optimization_steps": 10, "probabilities": [0.004856336580393276, 0.004856336580393276], "optimization_time": 0.6896066665649414} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["00111110", "11000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[3];
rz(0.0771) q[3];
cx q[5], q[3];
cx q[5], q[0];
rz(0.0771) q[0];
cx q[5], q[0];
cx q[3], q[0];
rz(0.0771) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.0771) q[4];
cx q[0], q[4];
cx q[5],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0]... | null | {"circuits": [], "gradients": []} |
fbcecd05a1850dfc85aa20c299edabcb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 5}, {"weight":... | {"states": [970, 458], "expectation_value": -92.71486768317969, "params": [0.4893, -0.0204, 0.4938, -0.028300000000000002, 0.46280000000000004, -0.027700000000000002, 0.44220000000000004, 0.0123, 0.4687, -0.0182, 0.4551, 0.0219, 0.42510000000000003, -0.0666, 0.3904, -0.045700000000000005, -0.23550000000000001, -0.0872,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(2) @ Z(3)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(6) @ Z(2)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(6)) + 5.5 * (Z(9) @ Z(8)) + 13.5 * Z(1) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-98.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1000110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.4893) q[0];
rz(-0.0204) q[0];
rx(0.4628) q[1];
rz(-0.0277) q[1];
rx(0.4687) q[2];
rz(-0.0182) q[2];
rx(0.4251) q[3];
rz(-0.0666) q[3];
rx(-0.2355) q[4];
rz(-0.0872) q[4];
rx(0.0919) q[5];
rz(0.1139) q[5];
rx(0.4909) q[6];
rz(-0.0694) q[6];
rx(0.0886) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
-1752709411569031825 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 10, 2, 6], [0, 2, 10], [1, 2], [3, 5], [3, 4], [4, 7], [9, 4], [11, 4]]} | {"states": [2746, 2234], "expectation_value": -2.7880353276523104, "params": [0.9258000000000001, 0.9104000000000001, 0.18530000000000002, 0.1885, 0.7621, 0.7687, 0.23020000000000002, 0.2275, 1.4020000000000001, 1.3943, 0.2204, 0.22390000000000002, 1.3488, 1.3529, 1.3531, 1.3613, 1.1820000000000002, 1.1406, 0.2346, 0.2... | 0.08333333333333333 * (Z(10) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.08333333333333333 * (Z(8) @ Z(10)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * ... | 13 | 12 | 1 | {"smallest_eigenvalues": [-3.5833333333333335, -3.5833333333333335, -3.5833333333333335, -3.5833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.583333333333333, "smallest_bitstrings": ["000010110000", "000111000101", "011101000101", "011000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.9258) q[0];
ry(0.1853) q[1];
ry(0.7621) q[2];
ry(0.2302) q[3];
ry(1.402) q[4];
ry(0.2204) q[5];
ry(1.3488) q[6];
ry(1.3531) q[7];
ry(1.182) q[8];
ry(0.2346) q[9];
ry(0.956) q[10];
ry(0.2265) q[11];
crz(0.4877) q[11], q[0];
crz(-0.4477) q[10], q[11];
crz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8857517036714664554 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 4, 5, 8, 10], [0, 1, 4, 6, 8, 10, 11], [0, 1, 2, 3, 7, 8, 11], [0, 9, 10, 2], [1, 4, 5, 6, 8, 10], [1, 3, 4, 5, 7, 10, 11], [1, 2, 3, 4, 6], [1, 2, 4, 8, 11], [9, 4, 1, 7], [2, 3, 4, 8, 10], [11, 5, 6, 7], [8, 9, 4, 7], [0, 4, 5, 7, 9, 11], [1, 5, 6, ... | {"states": [575, 1599], "expectation_value": -3.685694472990779, "params": [0.38430000000000003, -0.7602, 0.3803, 0.0064, 0.8530000000000001, -0.4284, 0.8082, 0.0067, 1.5824, -0.0016, 1.564, 0.007200000000000001, 0.4086, -0.8149000000000001, 0.40090000000000003, 0.0097, 0.393, -0.8152, 0.39390000000000003, 0.0019, 0.38... | 0.23333333333333334 * (Z(2) @ Z(4)) + 0.1738095238095238 * (Z(5) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(2)) + 0.29047619047619044 * (Z(8) @ Z(4)) + 0.1738095238095238 * (Z(8) @ Z(2)) + 0.08333333333333334 * (Z(8) @ Z(5)) + 0.2142857142857143 * (Z(10) @ Z(4)) + 0.21666666666666667 * (Z(10) @ Z(2)) + 0.273809523809523... | 7 | 12 | 1 | {"smallest_eigenvalues": [-4.033333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.999999999999999, "smallest_bitstrings": ["100111000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.3843) q[0];
rz(-0.7602) q[0];
rx(0.853) q[1];
rz(-0.4284) q[1];
rx(1.5824) q[2];
rz(-0.0016) q[2];
rx(0.4086) q[3];
rz(-0.8149) q[3];
rx(0.393) q[4];
rz(-0.8152) q[4];
rx(0.389) q[5];
rz(-0.7506) q[5];
rx(1.5775) q[6];
rz(-0.0007) q[6];
rx(1.5773) 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": []} |
a73867065d086a9866d0f80c9446dd3e | 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": [1889, 1633], "expectation_value": -75.14141930427596, "params": [1.1055000000000001, 0.0054, 1.1044, 0.1153, 0.796, 0.252, 0.49960000000000004, 0.33340000000000003, 1.109, 0.0036000000000000003, 1.1032, 0.0032, -0.0018000000000000002, 0.6911, 0.0016, -0.7239, -0.0017000000000000001, -0.5855, 0.5822, 0.6231,... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(2) @ Z(0)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(6) @ Z(4)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(9) @ Z(1)) + 8.0 * (Z(10) @ Z(9)) + 17.5 * Z(1) + 14.0 * Z(0) + 4.5 * Z(2) + 15.0 * Z(4) + 0.5 * Z(3) + 13.5 * Z(... | 18 | 11 | 2 | {"smallest_eigenvalues": [-132.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -113.5, "smallest_bitstrings": ["00110011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.1055) q[0];
rz(0.0054) q[0];
rx(1.1044) q[1];
rz(0.1153) q[1];
rx(0.796) q[2];
rz(0.252) q[2];
rx(0.4996) q[3];
rz(0.3334) q[3];
rx(1.109) q[4];
rz(0.0036) q[4];
rx(1.1032) q[5];
rz(0.0032) q[5];
rx(-0.0018) q[6];
rz(0.6911) q[6];
rx(0.0016) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
3749419434840595498 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 2, 4], [3, 5], [1, 4, 5], [1, 2, 5], [0, 1, 5], [2, 3], [0, 3, 4]]} | {"states": [52, 43], "expectation_value": -0.058723985074775116, "params": [[-0.06760000000000001], [0.0636]], "bitstrings": ["001011", "010100"], "total_optimization_steps": 10, "probabilities": [0.01661079939001244, 0.016778401577439303], "optimization_time": 0.6859138011932373} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9166666666666665, "smallest_bitstrings": ["010100"]} | 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(-0.0338) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0338) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0113) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.0338) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} |
b1f2c55039893ab73161f05bba05e3af | 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": [933, 421], "expectation_value": -94.34299238265264, "params": [[[0.7732, 0.0597], [0.3267, 0.07010000000000001], [0.7968000000000001, 0.1734], [0.7904, 0.1693], [0.0398, 0.09230000000000001], [0.7959, 0.0235], [-0.025400000000000002, 0.0155], [-0.13090000000000002, -0.0128], [0.7795000000000001, 0.3225], [-... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 13.0 * Z(2) + 16.0 * Z(1) + 16.5 * Z(3) + -5.5 * Z(4)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-106.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.5, "smallest_bitstrings": ["11001011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7732) q[0];
ry(0.3267) q[1];
ry(0.7968) q[2];
ry(0.7904) q[3];
ry(0.0398) q[4];
ry(0.7959) q[5];
ry(-0.0254) q[6];
ry(-0.1309) q[7];
ry(0.7795) q[8];
ry(-0.0194) q[9];
ry(0.1255) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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]}"} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | matching | qaoa | {"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": 14, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight": 5... | {"states": [126, 118], "expectation_value": -12.613250270695561, "params": [[0.026500000000000003, 0.0028, 0.0281], [-0.034, -0.0261, -0.046]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.0083018228157067, 0.01058976117492628], "optimization_time": 7.451644420623779} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 10.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1855) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1855) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1855) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.1855) q[3];
cx q[2], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
5456342727672526107 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 4, 6, 7], [1, 2, 3, 6, 7], [1, 5]]} | {"states": [182, 62], "expectation_value": -0.013308659025460334, "params": [[-0.059300000000000005], [0.07200000000000001]], "bitstrings": ["01001001", "11000001"], "total_optimization_steps": 10, "probabilities": [0.004012395995889122, 0.004012395995889123], "optimization_time": 2.440279722213745} | 0.05 * (Z(0) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.05 * (Z(4) @ Z(0)) + 0.1 * (Z(6) @ Z(2)) + 0.05 * (Z(6) @ Z(0)) + 0.05 * (Z(6) @ Z(4)) + 0.1 * (Z(7) @ Z(2)) + 0.05 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(3) @ Z(2)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.0059) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0059) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0059) q[4];
cx q[0], q[4];
cx q[2], q[6];
rz(-0.0119) q[6];
cx q[2], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
cx q[... | null | {"circuits": [], "gradients": []} |
4eebe9a8a97a840077f78c3a170e65f1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3... | {"states": [64, 63], "expectation_value": -0.1992721902815354, "params": [[-0.0717], [0.0711]], "bitstrings": ["0111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.009580976719265673, 0.00980958106354193], "optimization_time": 2.1233630180358887} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0717) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(0.0358) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.1076) q[2];
cx q[1], q[2];
cx q[5], q[2];
rz(0.0717) q[2];
cx q[5], q[2];
cx q[1], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
3531386beba6b0774804490460b57cef | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "s... | {"states": [0, 1], "expectation_value": -15.686425497615685, "params": [0.0033, 0.0037, 0.0025, 0.0002, 0.0024000000000000002, 0.008400000000000001, 0.0027, 0.0022, 0.0023, 0.0009000000000000001, 0.0024000000000000002, 0.001, 0.0025, 0.0007, 0.0023, 0.0086, 1.6019, 0.0056, 0.0077, 0.0046, 0.0015, 0.002, 0.0043, 0.0053,... | -1.0 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0033) q[0];
rz(0.0037) q[0];
rx(0.0025) q[1];
rz(0.0002) q[1];
rx(0.0024) q[2];
rz(0.0084) q[2];
rx(0.0027) q[3];
rz(0.0022) q[3];
rx(0.0023) q[4];
rz(0.0009) q[4];
rx(0.0024) q[5];
rz(0.001) q[5];
rx(0.0025) q[6];
rz(0.0007) q[6];
rx(0.0023) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
cf9a1540b011355d554ff1ed574e9153 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 3}, {"weight": 15, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 5}, {... | {"states": [124, 118], "expectation_value": -9.677339608154004, "params": [[0.0468], [-0.0671]], "bitstrings": ["10000011", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007026417599100438, 0.007996821299414715], "optimization_time": 2.6088271141052246} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(5)) + 19.5 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "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(0.3744) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3744) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3744) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3744) q[3];
cx q[0], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
2059722323477022697 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 4], [1, 2], [2, 4, 5], [1, 3, 5], [0, 2], [3, 4]]} | {"states": [13, 11], "expectation_value": -1.8409101476405458, "params": null, "bitstrings": ["110010", "110100"], "total_optimization_steps": 39, "probabilities": [0.03938410396833827, 0.8105329635613088], "optimization_time": 35.86988949775696} | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.9999999999999996, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.2292) q[5];
cry(-1.0342) q[4], q[0];
ry(0.7191) q[4];
cry(-1.3177) q[4], q[3];
cry(-0.7162) q[2], q[0];
cry(0.4296) q[5], q[4];
cry(0.8643) q[4], q[2];
cry(-1.1255) q[2], q[1];
ry(-0.3558) q[0];
ry(0.4701) q... | 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(1.2292) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
ad5e16c647b3e8afeeb51cea63283747 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [635, 627], "expectation_value": -2.889022797847171, "params": [1.4841, 0.5880000000000001, -0.0002, 1.0099, -0.0041, -0.7852, 1.5043, -0.0032, 1.4951, 0.0024000000000000002, 1.4825000000000002, 0.7716000000000001, 1.0802, 1.0658, 0.0058000000000000005, 0.9399000000000001, 1.4877, 0.1535, 1.3651, 0.4199, 1.4... | 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)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(8) @ Z(0)) + 0.0625 * (Z(9) @ Z(0)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(8) @ Z(5)) + 0.06... | 18 | 10 | 2 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0110101000", "0110001100", "0110000110", "0110000101", "0110010100", "0100110100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4841) q[0];
rz(0.588) q[0];
rx(-0.0002) q[1];
rz(1.0099) q[1];
rx(-0.0041) q[2];
rz(-0.7852) q[2];
rx(1.5043) q[3];
rz(-0.0032) q[3];
rx(1.4951) q[4];
rz(0.0024) q[4];
rx(1.4825) q[5];
rz(0.7716) q[5];
rx(1.0802) q[6];
rz(1.0658) q[6];
rx(0.0058) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [63, 62], "expectation_value": -0.1837571464365608, "params": [[0.060200000000000004], [-0.0603]], "bitstrings": ["000000", "000001"], "total_optimization_steps": 10, "probabilities": [0.017678502616130812, 0.017936064053521314], "optimization_time": 1.4218358993530273} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"]} | 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(-0.1204) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1806) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.0602) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.1806) q[4];
cx q[2], q[4];
rz(0.0602) q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x1) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(x2) q[4]... | {"node": 5} | {"circuits": [], "gradients": []} |
294512af72c0fecd4cefe8fd6a356b5c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 160.7501518726349} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-59.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[5];
ry(31.6164) q[7];
ry(63.0918) q[1];
ry(9.0828) q[2];
ry(1.8402) q[6];
cry(-2.0325) q[6], q[2];
cry(-4.4748) q[6], q[5];
cry(2.4258) q[6], q[7];
cry(0.0565) q[6], q[1];
cry(0.386)... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
db7bdfb6ee94a36848a9fd983ceba634 | 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": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 6, "source": 1, ... | {"states": [67, 65], "expectation_value": -1.7690894298279929, "params": [[0.0721, 0.0516], [-0.0699, -0.0476]], "bitstrings": ["10111100", "10111110"], "total_optimization_steps": 10, "probabilities": [0.009607303394112797, 0.010185985031351557], "optimization_time": 3.0063202381134033} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(7)) + -1.75 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + 1.25 * Z(7) + 1.5 * Z(1) + 0.0 * Z(4) + -1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-17.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.75, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.2163) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1442) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.1442) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(0.3965) q[7];
cx q[0], q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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": 16.576311826705933} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
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", "... |
f06cfa431b1d21951bd72bdc4807e338 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [19, 27], "expectation_value": -0.1129758617459638, "params": [[0.0653], [-0.0521]], "bitstrings": ["101100", "100100"], "total_optimization_steps": 10, "probabilities": [0.01668715364473863, 0.01712279461444103], "optimization_time": 1.4817335605621338} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(1) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0653) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0653) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0653) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0653) q[4];
cx q[3], q[4];
cx q[0], q[5];
rz(0.0653... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
d2afe27b0de0de0693309013bd4cb7f6 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [159, 115], "expectation_value": -31.07311390791784, "params": null, "bitstrings": ["01100000", "10001100"], "total_optimization_steps": 100, "probabilities": [0.13685654008494053, 0.17358932876943156], "optimization_time": 151.3246681690216} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(2)) + 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(1)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 9.5 * Z(2) + 15.5 * Z(3) + 1.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["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(8.8595) q[3];
ry(-1.7434) q[7];
ry(-15.7211) q[6];
ry(-2.5454) q[1];
ry(2.762) q[5];
cry(0.6249) q[3], q[6];
cry(-3.05) q[3], q[5];
cry(33.2132) q[3], q[1];
ry(-0.5348) q[2];
ry(1.3511) q[0];
c... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(8.8595) 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[... |
1405943860251051176 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 1, 6, 8, 9, 11], [3, 5, 6, 9, 11], [3, 7], [2, 11], [3, 4], [8, 10]]} | {"states": [1239, 3287], "expectation_value": -2.3512166627845232, "params": [[[1.5458, 0.0066], [3.1430000000000002, 0.0009000000000000001], [-0.0019, 0.0028], [3.1395, 0.009600000000000001], [0.0021000000000000003, 0.0081], [3.1395, 0.0057], [3.1444, 0.0097], [3.148, 0.0079], [3.1395, 0.004], [-0.0027, 0.006], [-0.00... | 0.03333333333333333 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(1)) + 0.03333333333333333 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(8) @ Z(1)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.03333333333333333 * (Z(8) @ Z(6)) + 0.03333333333333333 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(9) @ Z(0)) + 0.08333333333333... | 2 | 12 | 1 | {"smallest_eigenvalues": [-2.4000000000000017], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.400000000000001, "smallest_bitstrings": ["001100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.5458) q[0];
rz(0.0066) q[0];
rx(3.143) q[1];
rz(0.0009) q[1];
rx(-0.0019) q[2];
rz(0.0028) q[2];
rx(3.1395) q[3];
rz(0.0096) q[3];
rx(0.0021) q[4];
rz(0.0081) q[4];
rx(3.1395) q[5];
rz(0.0057) q[5];
rx(3.1444) q[6];
rz(0.0097) q[6];
rx(3.148) 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": []} |
da6f888553e0928bf84cb7c24eceee80 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [0, 127], "expectation_value": -1.0634600061090915, "params": [[0.0451, 0.0629, 0.0747], [-0.0132, -0.0463, -0.0567]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.007260857666840448, 0.00753762770793977], "optimization_time": 8.463914155960083} | -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 | 3 | {"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];
cx q[5], q[0];
rz(-0.0226) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0677) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.0451) q[2];
cx q[1], q[2];
cx q[2], q[4];
rz(-0.0677) q[4];
cx q[2], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | edge_cover | qaoa | {"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": [0, 2], "expectation_value": -0.17075126560218848, "params": [[-0.0594, -0.0723], [0.0713, 0.0723]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.12886773875208354, 0.14886231467188094], "optimization_time": 0.7190690040588379} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.0594) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0594) q[0];
cx q[1], q[0];
rz(0.1188) q[0];
rz(0.0594) q[1];
rz(0.1188) q[2];
h q[0];
rz(0.1426) q[0];
h q[0];
h q[1];
rz(0.1426) q[1];
h q[1];
h q[2];
rz(0.1426) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} |
5b15e5064f9604c57b5bf00bcebf2e14 | 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": 0, "target": 3}, {"s... | {"states": [0, 8176], "expectation_value": -32.617827763356686, "params": [[[0.0026000000000000003, 0.0031000000000000003], [0.0023, 0.0004], [0.0022, 0.0015], [-0.0027, 0.006500000000000001], [0.0025, 0.0004], [0.0026000000000000003, 0.0076], [0.0021000000000000003, 0.0066], [0.002, 0.0044], [1.5954000000000002, 0.000... | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + -2.5 * (Z(6) @ Z(0)) + -2.0 * (Z(7) @ Z(1)) + -2.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(1)) + -2.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(12) @ Z(10))... | 2 | 13 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.5, "smallest_bitstrings": ["0000000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0026) q[0];
rz(0.0031) q[0];
rx(0.0023) q[1];
rz(0.0004) q[1];
rx(0.0022) q[2];
rz(0.0015) q[2];
rx(-0.0027) q[3];
rz(0.0065) q[3];
rx(0.0025) q[4];
rz(0.0004) q[4];
rx(0.0026) q[5];
rz(0.0076) q[5];
rx(0.0021) q[6];
rz(0.0066) q[6];
rx(0.002) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 8} | {"circuits": [], "gradients": []} |
-51701444481128926 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [4, 7], [2, 5], [5, 6, 7], [0, 1, 6], [0, 2], [0, 5], [0, 3]]} | {"states": [115, 142], "expectation_value": -0.0023238192384158404, "params": [[-0.0182], [0.009000000000000001]], "bitstrings": ["10001100", "01110001"], "total_optimization_steps": 10, "probabilities": [0.003919031266886417, 0.003919031267127665], "optimization_time": 2.1576285362243652} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.666666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.666666666666666, "smallest_bitstrings": ["01110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.0182) q[0];
cx q[7], q[0];
cx q[7], q[4];
rz(-0.0182) q[4];
cx q[7], q[4];
cx q[0], q[2];
rz(-0.0182) q[2];
cx q[0], q[2];
cx q[7], q[5];
rz(-0.0061) q[5];
cx q[7], q[5];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
eb601c8cc059fa719bb669b57cf56f46 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target":... | {"states": [897, 961], "expectation_value": -4.212343422048067, "params": [[[1.7129, 0.0071], [1.6780000000000002, 0.006900000000000001], [1.7086000000000001, 0.0071], [1.624, 0.009600000000000001], [-0.0034000000000000002, 0.0098], [1.4673, 0.0083], [0.0655, 0.0088], [-0.0017000000000000001, 0.01], [1.5079, 0.00960000... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + -1.5 * Z(7) + 0.0 * Z(0) + -1.0 * ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["0000111110", "0101101100", "0001111100", "0100101110", "0000110111", "0001110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.7129) q[0];
rz(0.0071) q[0];
rx(1.678) q[1];
rz(0.0069) q[1];
rx(1.7086) q[2];
rz(0.0071) q[2];
rx(1.624) q[3];
rz(0.0096) q[3];
rx(-0.0034) q[4];
rz(0.0098) q[4];
rx(1.4673) q[5];
rz(0.0083) q[5];
rx(0.0655) q[6];
rz(0.0088) q[6];
rx(-0.0017) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
49178776ac26264118c80ca0dee8c33c | 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": 7, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 7, "s... | {"states": [0, 1], "expectation_value": -19.045683423771234, "params": [0.0025, 0.5055000000000001, 0.0025, 0.5680000000000001, 0.002, 0.4146, 0.0026000000000000003, 0.5368, 0.0024000000000000002, 0.48260000000000003, 0.0025, 0.5798, 0.0025, 0.556, 0.0017000000000000001, 0.605, 0.7988000000000001, -0.003600000000000000... | -1.75 * (Z(0) @ Z(1)) + 2.0 * (Z(8) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(8)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(8)) + -2.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.75 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z... | 4 | 9 | 2 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0025) q[0];
rz(0.5055) q[0];
rx(0.0025) q[1];
rz(0.568) q[1];
rx(0.002) q[2];
rz(0.4146) q[2];
rx(0.0026) q[3];
rz(0.5368) q[3];
rx(0.0024) q[4];
rz(0.4826) q[4];
rx(0.0025) q[5];
rz(0.5798) q[5];
rx(0.0025) q[6];
rz(0.556) q[6];
rx(0.0017) q[7];
rz(0.605... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f82f40377b76a8640da93298d26960f8 | 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": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -8.792053402032247, "params": [-0.0036000000000000003, 0.2701, 0.0014, 0.19540000000000002, 0.0014, 0.2429, 0.0017000000000000001, 0.2439, -0.0027, 0.1381, 0.0032, 0.192, 0.4051, -0.0035, 0.39990000000000003, -0.0033, -0.0017000000000000001, 0.20770000000000002, -0.0011, 0.0892... | -0.5 * (Z(0) @ Z(8)) + -0.5 * (Z(9) @ Z(8)) + -0.5 * (Z(9) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(8)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(5) @ Z(8)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(10) @ Z(8)) + -0.25 * (Z(10) @ Z(5)) + -0.25 * (Z(... | 6 | 12 | 2 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["111010111111", "111010111101", "100010001100", "110010101100", "111011111111", "110010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0036) q[0];
rz(0.2701) q[0];
rx(0.0014) q[1];
rz(0.2429) q[1];
rx(-0.0027) q[2];
rz(0.1381) q[2];
rx(0.4051) q[3];
rz(-0.0035) q[3];
rx(-0.0017) q[4];
rz(0.2077) q[4];
rx(-0.0764) q[5];
rz(0.1576) q[5];
rx(0.0065) q[6];
rz(0.2475) q[6];
rx(-0.0117) 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": 11} | {"circuits": [], "gradients": []} |
abebab5175d0d0d89bf916154d0e1360 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [44, 38], "expectation_value": -4.4999003248204605, "params": null, "bitstrings": ["010011", "011001"], "total_optimization_steps": 28, "probabilities": [1.7187519564590576e-05, 0.9999500716492443], "optimization_time": 25.50583267211914} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.5 * Z(0) + -2.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[5];
ry(-1.4449) q[2];
ry(-1.4449) q[1];
ry(1.4417) q[3];
ry(1.4417) q[0];
ry(1.4384) q[4];
cry(-0.1259) q[3], q[1];
cry(-0.1259) q[4], q[2];
cry(0.1246) q[3], q[4];
cry(0.1218) q[4], q[0];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
8a5dc9be309c81780f6428266fc77bbc | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 1, "target": 2}]} | {"states": [374, 371], "expectation_value": -6.299442942899475, "params": null, "bitstrings": ["010001001", "010001100"], "total_optimization_steps": 88, "probabilities": [0.15143116822598657, 0.6686414346247994], "optimization_time": 201.91897702217102} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(8) @ Z(3)) + 0.5 * (Z(8... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100010001", "010001100", "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(1.5708) q[7];
ry(1.5706) q[3];
ry(1.5706) q[2];
cry(-1.0342) q[6], q[8];
cry(-1.0342) q[4], q[1];
ry(0.7003) q[4];
cry(-0.7092) q[0], q[1];
cry(1.1516) q[4], q[0];
cry(-0.9529) q[4], q[... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 2, "target": 1}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
3363fe3f89e5b1bd299664dbaa386b89 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5974, 5982], "expectation_value": -3.536230128264832, "params": [[[0.9138000000000001, 0.0649], [0.165, 0.7218], [1.5825, -0.0023], [1.5853000000000002, 0.0029000000000000002], [1.5834000000000001, 0.0025], [0.002, 0.8378], [1.5830000000000002, -0.003], [0.3841, 0.5901000000000001], [1.5782, 0.0016], [0.840... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 13 | 2 | {"smallest_eigenvalues": [-4.5625, -4.5625, -4.5625, -4.5625, -4.5625, -4.5625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5625, "smallest_bitstrings": ["0100010010010", "0010100001001", "1000010001001", "0001010010100", "0100010100001", "0010001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.9138) q[0];
rz(0.0649) q[0];
rx(0.165) q[1];
rz(0.7218) q[1];
rx(1.5825) q[2];
rz(-0.0023) q[2];
rx(1.5853) q[3];
rz(0.0029) q[3];
rx(1.5834) q[4];
rz(0.0025) q[4];
rx(0.002) q[5];
rz(0.8378) q[5];
rx(1.583) q[6];
rz(-0.003) q[6];
rx(0.3841) 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": []} |
835d424ee6f644158225a5d9e71bfc7c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [278, 286], "expectation_value": -3.8080026716540107, "params": [0.2061, 0.20800000000000002, 0.07250000000000001, 0.0743, -0.0017000000000000001, 0.0028, -0.0005, -0.004, 0.2039, 0.19740000000000002, 0.2061, 0.20120000000000002, 0.2073, 0.19870000000000002, 0.19890000000000002, 0.2031, 0.115, 0.120100000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + -1.5 * Z(2) + 0.0 * Z(0) + -2.0 * Z(3) + -1.0 * Z(1) + -... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["011100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2061) q[0];
ry(0.0725) q[1];
ry(-0.0017) q[2];
ry(-0.0005) q[3];
ry(0.2039) q[4];
ry(0.2061) q[5];
ry(0.2073) q[6];
ry(0.1989) q[7];
ry(0.115) q[8];
crz(0.0505) q[8], q[0];
crz(0.0084) q[7], q[8];
crz(0.0025) q[6], q[7];
crz(0) q[5], q[6];
crz(-0.002) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
89c95a6653b347b1c88e907e978e885e | 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": 6}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [394, 410], "expectation_value": -5.567683470401215, "params": [[0.5313, 0.5966, -0.019200000000000002, -0.0021000000000000003, 0.225, 0.7607, 0.0019, 0.7834, 0.0004], [0.9042, 0.8997, 0.0648, 0.0013000000000000002, 0.8543000000000001, 0.9019, 0.0015, 0.7832, 0.0053], [0.1474, 0.1476, 0.009300000000000001, -... | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(5) @ Z(8)) + -1.5 * Z(6) + 0.0 * Z(0) + -2.0 * Z(2) + 0.0 * Z(1) + -0... | 10 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["001000111", "001100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5313) q[0];
ry(0.5966) q[1];
ry(-0.0192) q[2];
ry(-0.0021) q[3];
ry(0.225) q[4];
ry(0.7607) q[5];
ry(0.0019) q[6];
ry(0.7834) q[7];
ry(0.0004) 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];
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": []} |
17639781641b88f9ffa836608d3b637d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, ... | {"states": [81, 113], "expectation_value": -2.5343511877044764, "params": [0.40090000000000003, 0.0, 0.4027, -0.0082, 0.4061, 0.0098, 0.1371, 0.2416, -0.017, 0.22160000000000002, 0.3934, 0.2141, 0.3976, 0.1807, 0.4068, -0.0004, 0.4082, 0.005, 0.4082, 0.018000000000000002, 0.14350000000000002, 0.2571, -0.013600000000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -2.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + 0.0 * Z(6) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["0001101", "0001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4009) q[0];
rz(0) q[0];
rx(0.4027) q[1];
rz(-0.0082) q[1];
rx(0.4061) q[2];
rz(0.0098) q[2];
rx(0.1371) q[3];
rz(0.2416) q[3];
rx(-0.017) q[4];
rz(0.2216) q[4];
rx(0.3934) q[5];
rz(0.2141) q[5];
rx(0.3976) q[6];
rz(0.1807) q[6];
crz(0.2106) 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[... | null | {"circuits": [], "gradients": []} |
-1414922549263232579 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [1, 6], [5, 7], [3, 4], [0, 3], [4, 6], [2, 4], [8, 1], [5, 6], [6, 7], [3, 5], [8, 7], [1, 2], [2, 5], [3, 6], [1, 7], [8, 0], [1, 3], [8, 2], [1, 4], [8, 5], [0, 4], [2, 3]]} | {"states": [115, 396], "expectation_value": -0.25068052527187223, "params": [[0.0766], [-0.0743]], "bitstrings": ["110001100", "001110011"], "total_optimization_steps": 10, "probabilities": [0.002372256583901222, 0.002372256583901222], "optimization_time": 3.7863762378692627} | 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -3.5, "smallest_bitstrings": ["001110011", "110001100", "111001010", "111001000", "000110111", "000110101", "111001100", "000110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[2];
rz(0.0766) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(0.0766) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(0.0766) q[1];
cx q[2], q[1];
cx q[6], q[5];
rz(0.0766) q[5];
cx q[6], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];... | null | {"circuits": [], "gradients": []} |
1087270650222641943 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[8, 1, 3], [0, 1, 2, 5, 9, 10], [0, 1, 2, 6, 7], [9, 4, 6, 7], [0, 8, 6, 7], [0, 9, 3, 4], [2, 3, 4, 5, 6, 7, 8, 10], [0, 1, 3, 5, 9, 10], [0, 2, 3, 6, 7, 9, 10], [0, 1, 2, 3, 4, 5], [1, 2, 3, 5, 6, 9], [1, 4, 6], [8, 9, 3], [0, 2, 4, 5, 6, 8, 9], [1, 2, 5, 7... | {"states": [847, 1871], "expectation_value": -2.8762229290841055, "params": [[[1.6217000000000001, 0.008400000000000001], [3.1441000000000003, 0.0054], [3.1397, 0.0033], [0.7379, 0.0045000000000000005], [3.1395, 0.006900000000000001], [0.7716000000000001, 0.0038], [0.7258, 0.0058000000000000005], [3.1397, 0.0033], [3.1... | 0.19047619047619047 * (Z(8) @ Z(1)) + 0.26666666666666666 * (Z(3) @ Z(1)) + 0.35119047619047616 * (Z(3) @ Z(8)) + 0.15 * (Z(0) @ Z(1)) + 0.10714285714285714 * (Z(0) @ Z(8)) + 0.1738095238095238 * (Z(0) @ Z(3)) + 0.1738095238095238 * (Z(2) @ Z(1)) + 0.06547619047619047 * (Z(2) @ Z(8)) + 0.10833333333333334 * (Z(2) @ Z(3... | 1 | 11 | 1 | {"smallest_eigenvalues": [-3.3011904761904765], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.272619047619047, "smallest_bitstrings": ["00010110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.6217) q[0];
rz(0.0084) q[0];
rx(3.1441) q[1];
rz(0.0054) q[1];
rx(3.1397) q[2];
rz(0.0033) q[2];
rx(0.7379) q[3];
rz(0.0045) q[3];
rx(3.1395) q[4];
rz(0.0069) q[4];
rx(0.7716) q[5];
rz(0.0038) q[5];
rx(0.7258) q[6];
rz(0.0058) q[6];
rx(3.1397) 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
e24c28a1225e0371d997320aeb87abff | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [3310, 2798], "expectation_value": -1.516076969497083, "params": [[[0.2736, -0.0845, 0.0097, 0.005], [0.4889, 0.10740000000000001, 0.396, 0.1227], [0.1522, 0.2482, 0.027100000000000003, -0.2561], [0.0941, -0.311, 0.4882, -0.2629], [0.2906, 0.035, 0.28400000000000003, 0.27690000000000003], [0.4897, 0.3793, 0.... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(0) @ Z(8)) + 0.0625 * (Z(0) @ Z(9)) ... | 11 | 12 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.75, "smallest_bitstrings": ["010010100001", "001100100010", "010001100001", "010100010001", "010001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2736) q[0];
rz(-0.0845) q[0];
ry(0.4889) q[1];
rz(0.1074) q[1];
ry(0.1522) q[2];
rz(0.2482) q[2];
ry(0.0941) q[3];
rz(-0.311) q[3];
ry(0.2906) q[4];
rz(0.035) q[4];
ry(0.4897) q[5];
rz(0.3793) q[5];
ry(0.4926) q[6];
rz(-0.201) q[6];
ry(0.5065) 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... | null | {"circuits": [], "gradients": []} |
4b4397a678de86b6a6c2f25f89bcf5fb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [2048, 2047], "expectation_value": -26.26790254046964, "params": [[[-0.7064, -0.0013000000000000002], [-0.00030000000000000003, -0.029300000000000003], [-0.002, 0.0014], [0.0, 0.001], [-0.0038, 0.0027], [0.0007, 0.0028], [0.0004, -0.0011], [-0.0063, 0.001], [-0.0073, -0.0017000000000000001], [0.0023, 0.0046]... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(4)) + -0.5 * (Z(9) @ Z(1)) + -1.5 * (Z(9) @ Z(4)) + -0.5 * (Z(7) @ Z(4)) + -1.25 * (Z(7) @ Z(5)) + -1.25 * (Z(7) @ Z(9)) + -1.75 * (Z(8) @ Z(4)) + -0.5 * (Z(8) @ Z(5)) + -0.25 * (Z(11) @ Z(4)) + -1.5 * (Z(11) @ Z(9)) + -1.5 * (Z(1... | 15 | 12 | 4 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.7064) q[0];
ry(-0.0003) q[1];
ry(-0.002) q[2];
ry(0) q[3];
ry(-0.0038) q[4];
ry(0.0007) q[5];
ry(0.0004) q[6];
ry(-0.0063) q[7];
ry(-0.0073) q[8];
ry(0.0023) q[9];
ry(-0.0218) q[10];
ry(0.0085) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [48, 28], "expectation_value": -0.4771036905561621, "params": [[0.0621, 0.0699], [-0.0637, -0.052500000000000005]], "bitstrings": ["001111", "100011"], "total_optimization_steps": 10, "probabilities": [0.019210766991470424, 0.01998931711819817], "optimization_time": 2.704618215560913} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0621) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0621) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.0621) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(0.0621) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0621... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], ... | null | {"circuits": [], "gradients": []} |
b0feb3aae3343307d568064fd81cd991 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [696, 697], "expectation_value": -2.683634222120501, "params": [[[0.5468000000000001, -0.1504, 0.0097, 0.0049], [0.111, 0.36160000000000003, 1.1006, -0.1293], [0.1439, 0.1062, -0.0086, 0.0511], [0.184, -0.07740000000000001, 0.1436, 0.11030000000000001], [0.0028, -0.0522, -0.001, -0.1247], [0.0042000000000000... | 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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + ... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 17, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010101100", "0010101001", "0101000110", "0100101100", "010010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5468) q[0];
rz(-0.1504) q[0];
ry(0.111) q[1];
rz(0.3616) q[1];
ry(0.1439) q[2];
rz(0.1062) q[2];
ry(0.184) q[3];
rz(-0.0774) q[3];
ry(0.0028) q[4];
rz(-0.0522) q[4];
ry(0.0042) q[5];
rz(-0.1921) q[5];
ry(-0.1934) q[6];
rz(0.1351) q[6];
ry(-0.1165) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
-7900289783294744989 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [0, 1, 2, 4, 5, 6], [8, 1], [0, 8, 6, 7], [0, 2, 3, 7], [8, 3, 5, 6], [0, 1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 6]]} | {"states": [428, 438], "expectation_value": -0.6287682843454955, "params": [[0.2737], [-0.2767]], "bitstrings": ["001010011", "001001001"], "total_optimization_steps": 30, "probabilities": [0.004433079395639016, 0.0044858640121776825], "optimization_time": 3.4428117275238037} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.06666666666666667 * (Z(0) @ Z(5)) + 0.1 * (Z(1) @ Z(5)) + 0.06666666666666667 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(7)) + 0.1 * (Z(2) @ Z(5)) + 0.15 * (Z(2) @ Z(0)) + 0.1 * (Z(2) @ Z(1)) + 0.1 * (Z(4) @ Z(5)) + 0.06666666666666667 * (Z(4) @ Z(0))... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2333333333333334, "smallest_bitstrings": ["001001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[5];
rz(0.2737) q[5];
cx q[7], q[5];
cx q[7], q[0];
rz(0.0912) q[0];
cx q[7], q[0];
cx q[5], q[0];
rz(0.0365) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0547) q[1];
cx q[5], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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];... | null | {"circuits": [], "gradients": []} |
9d210320770659afd6c4df9432851dd5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [892, 1021], "expectation_value": -10.109334634323064, "params": null, "bitstrings": ["0010000011", "0000000010"], "total_optimization_steps": 100, "probabilities": [0.11186108526741008, 0.33275928790736986], "optimization_time": 138.38293504714966} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(2) + 0.5 * Z(9) + -0.5 * Z(8) | 5 | 10 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["0000000010"]} | 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(1.5681) q[4], q[5];
cry(1.5708) q[5], q[3];
cry(1.2536) q[3], q[4];
cry(0.4771) q[3], q[5];
cry(1.5486) q[6], q[7];
cry(1.2305) q[7], q[6];
cry(1.5486) q[9], q[2];
cry(1.2305... | null | {"node": 7} | {"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(1.5681) 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] = measu... |
b92c16178f977d94a04901a5809941e1 | 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": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -21.680730890127744, "params": [-0.2866, 0.007200000000000001, -0.055900000000000005, 0.0008, -0.0036000000000000003, 0.3074, 0.0083, 0.30360000000000004, 0.40130000000000005, 0.0018000000000000002, 0.40790000000000004, 0.0015, -0.012100000000000001, 0.2467, 0.00840000000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + 4.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(10) @ Z(1)) + -0.75 * (Z(10) @ Z(2)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(10)) + -2.25 * (Z(7) @... | 6 | 11 | 2 | {"smallest_eigenvalues": [-27.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.2866) q[0];
rz(0.0072) q[0];
rx(-0.0036) q[1];
rz(0.3074) q[1];
rx(0.4013) q[2];
rz(0.0018) q[2];
rx(-0.0121) q[3];
rz(0.2467) q[3];
rx(-0.0084) q[4];
rz(0.2643) q[4];
rx(0.0793) q[5];
rz(0.1566) q[5];
rx(-0.1228) q[6];
rz(0.0412) q[6];
rx(-0.012) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
2e2b99aee8ac569092f35ace44b8c3ea | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.01806009583894827, "params": [[-0.063], [0.0727]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.641040694742629e-05, 1.6410406947426292e-05], "optimization_time": 12.820235013961792} | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0002066115702479339 * (Z(4) @ Z(0)) + -0.0008264462809917356 * (Z(4) @ Z(2)) + 0.0002066115702479339 * (Z(5) @ Z(1)) + -0.0008264462809917356 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0007... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0237603305784737], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0237603305784533, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0315) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) 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;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b479847f05cc20709fc3e89f53936753 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [96, 2016], "expectation_value": -20.431964501143284, "params": [[[-0.0024000000000000002, 0.0012000000000000001], [-0.0022, 0.0035], [-0.0027, 0.0053], [1.478, 0.0026000000000000003], [0.0031000000000000003, 0.0036000000000000003], [1.7038, 0.0055000000000000005], [0.0022, 0.0098], [-0.0027, 0.0], [-0.0022,... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(6)) + 0.5 * (Z(10) @ Z(7)) + -2.5 * (Z(10) @ Z(6)) + -2.0 * (Z(10) @ Z(8)) + -2.5 * (Z(9) @ Z(7)) +... | 2 | 11 | 1 | {"smallest_eigenvalues": [-23.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["00000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0024) q[0];
rz(0.0012) q[0];
rx(-0.0022) q[1];
rz(0.0035) q[1];
rx(-0.0027) q[2];
rz(0.0053) q[2];
rx(1.478) q[3];
rz(0.0026) q[3];
rx(0.0031) q[4];
rz(0.0036) q[4];
rx(1.7038) q[5];
rz(0.0055) q[5];
rx(0.0022) q[6];
rz(0.0098) q[6];
rx(-0.0027) 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": 6} | {"circuits": [], "gradients": []} |
d2ab62c933304b5c3d761f042e65d199 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [3695, 1613], "expectation_value": -7.3385606820386355, "params": [[0.1346, 0.2826, 0.4113, 0.4864], [-0.5494, -0.34450000000000003, -0.1794, -0.11660000000000001]], "bitstrings": ["1000110010000", "1100110110010"], "total_optimization_steps": 60, "probabilities": [0.012971010581244578, 0.013235571188023562]... | 1.0 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(0) @ Z(11)) + -0.5 * (Z(6) @ Z(10)) + -0.5 * (Z(6) @ Z(9)) + -1.0 * (Z(6) @ Z(11)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(11)) + -0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(8) @ Z(11)) + -0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6... | 1 | 13 | 4 | {"smallest_eigenvalues": [-8.833333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.666666666666666, "smallest_bitstrings": ["1100110110010"]} | 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[9];
rz(0.2692) q[9];
cx q[10], q[9];
cx q[10], q[11];
rz(0.1346) q[11];
cx q[10], q[11];
cx q[9], q[11];
rz(0.1346) q[11];
cx q[9], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
1165009819056049206 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5], [0, 2, 4], [0, 8, 7], [8, 1], [5, 6], [8, 4], [3, 6, 7], [1, 5, 7], [2, 5, 7], [1, 6], [1, 3, 7], [8, 3, 5], [2, 6, 7], [0, 6], [3, 4, 6], [1, 3, 5], [8, 2]]} | {"states": [510, 498], "expectation_value": -4.242688779407762, "params": null, "bitstrings": ["000000001", "000001101"], "total_optimization_steps": 69, "probabilities": [0.054322525973335464, 0.7942814781038425], "optimization_time": 121.91409206390381} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(4)) + 0.3333333333333333 * (Z(7)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666666, "smallest_bitstrings": ["000001101"]} | 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[7];
ry(1.4449) q[3];
cry(-1.2266) q[5], q[6];
ry(1.341) q[0];
cry(-1.2237) q[4], q[8];
ry(0.8862) q[4];
cry(1.2795) q[4], q[1];
cry(-0.749) q[1], q[8];
cry(-0.6888) q[1], q[6]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
4697271696339792707 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 2, 5], [8, 0, 3, 6], [8, 0, 2, 4], [3, 7]]} | {"states": [117, 125], "expectation_value": -1.1337151476980214, "params": null, "bitstrings": ["110001010", "110000010"], "total_optimization_steps": 74, "probabilities": [0.15917975263747705, 0.2999771084271842], "optimization_time": 111.0194263458252} | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.08333333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.2499999999999998, "smallest_bitstrings": ["100001010", "010010110", "001100000", "001000110", "000111000", "000011110", "010110000", "110000010"]} | 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(1.3016) q[8];
cry(-1.0342) q[3], q[7];
ry(0.7841) q[3];
ry(-0.5247) q[7];
cry(0.49) q[8], q[3];
cry(-0.3534) q[8], q[7];
ry(0.4344) q[2];
cry(0.1951) q[2], q[3];
cry(0.3371) q[3], q[2];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3016) 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... |
3fd0da358f2b74b4c69a0fb684ccd08b | 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": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target":... | {"states": [256, 264], "expectation_value": -18.158639122062603, "params": [-0.29150000000000004, -0.0047, -0.3665, -0.005200000000000001, 0.18430000000000002, -0.0161, 0.2444, 0.016, 0.48700000000000004, 0.0025, 0.4793, -0.0054, -0.25880000000000003, 0.19990000000000002, 0.15960000000000002, 0.1515, -0.002600000000000... | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + -0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -0.5 * (Z(10) @ Z(6)) + -0.5 * (Z(1) @ Z(8)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(9... | 6 | 11 | 3 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.75, "smallest_bitstrings": ["11011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.2915) q[0];
rz(-0.0047) q[0];
rx(0.1843) q[1];
rz(-0.0161) q[1];
rx(0.487) q[2];
rz(0.0025) q[2];
rx(-0.2588) q[3];
rz(0.1999) q[3];
rx(-0.0026) q[4];
rz(0.3752) q[4];
rx(0.0075) q[5];
rz(0.3254) q[5];
rx(-0.0058) q[6];
rz(0.3419) q[6];
rx(-0.3251) 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": []} |
ed01866ce53def5a36a69737a2fd120b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, ... | {"states": [99, 67], "expectation_value": -0.1851550784606982, "params": [[-0.0335, -0.040400000000000005, -0.0115], [0.0258, 0.054700000000000006, 0.0222]], "bitstrings": ["10011100", "10111100"], "total_optimization_steps": 10, "probabilities": [0.0048352299362181324, 0.004836887938116], "optimization_time": 4.112179... | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.25 ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["10000100", "10001100", "10011100", "10111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0168) q[0];
cx q[2], q[0];
cx q[0], q[4];
rz(0.0168) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0335) q[5];
cx q[0], q[5];
cx q[2], q[7];
rz(0.0168) q[7];
cx q[2], q[7];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
38980211450f7282c15e0ab435ff2cd6 | min_cut | adaptive_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": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [0, 1], "expectation_value": -6.4999926984005585, "params": null, "bitstrings": ["111111", "111110"], "total_optimization_steps": 13, "probabilities": [1.8109829322873913e-06, 0.9999981818028625], "optimization_time": 7.682164192199707} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(3) + 1.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5681) q[5];
ry(-1.5708) q[0];
ry(-1.4449) q[1];
ry(-1.5708) q[3];
ry(-1.5681) q[2];
ry(-1.568) q[4];
cry(-0.1259) q[5], q[1];
cry(-0.0028) q[5], q[4];
cry(-0.0027) q[5], q[2];
c[0] = measure q[0];
c[1] = mea... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
fbae256178d16f79f77f5006a056f55c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "targ... | {"states": [0, 16383], "expectation_value": -32.25638595730654, "params": [[[0.0025, 1.6136000000000001], [0.0018000000000000002, 0.0027], [0.0022, 0.0018000000000000002], [0.0025, 0.0021000000000000003], [0.0022, 0.0017000000000000001], [0.0018000000000000002, 0.0017000000000000001], [0.0032, 0.0022], [0.0028, -0.0031... | -2.5 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + -2.5 * (Z(8) @ Z(10)) + -3.0 * (Z(11) @ Z(10)) ... | 15 | 14 | 1 | {"smallest_eigenvalues": [-37.99999999999989], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.99999999999972, "smallest_bitstrings": ["00000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0025) q[0];
ry(0.0018) q[1];
ry(0.0022) q[2];
ry(0.0025) q[3];
ry(0.0022) q[4];
ry(0.0018) q[5];
ry(0.0032) q[6];
ry(0.0028) q[7];
ry(0.0021) q[8];
ry(0.0016) q[9];
ry(0.0026) q[10];
ry(0.0022) q[11];
ry(0.0026) q[12];
ry(0.0025) q[13];
cx q[13], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 2} | {"circuits": [], "gradients": []} |
8099577462485828212 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 2, 11, 12], [1, 2, 5, 7, 9], [1, 10, 11, 12], [0, 4, 6, 7, 8, 11], [1, 4, 6, 8, 10], [3, 1, 11], [11, 9, 3], [8, 3, 5, 7], [8, 3, 12], [0, 1, 2, 4, 8, 9], [0, 1, 2, 6, 8], [3, 5, 6, 7, 9, 12], [0, 8, 9, 10, 12], [3, 5, 10, 11, 12], [1, 2, 4, 5, 8,... | {"states": [8071, 8077], "expectation_value": -6.052134667145566, "params": null, "bitstrings": ["0000001111000", "0000001110010"], "total_optimization_steps": 100, "probabilities": [0.03470483980459488, 0.8221308367991085], "optimization_time": 1999.8931515216827} | 0.3 * (Z(9) @ Z(2)) + 0.15 * (Z(11) @ Z(2)) + 0.2833333333333333 * (Z(11) @ Z(9)) + 0.15 * (Z(12) @ Z(2)) + 0.16666666666666669 * (Z(12) @ Z(9)) + 0.2833333333333333 * (Z(12) @ Z(11)) + 0.2 * (Z(1) @ Z(2)) + 0.16666666666666669 * (Z(1) @ Z(9)) + 0.35 * (Z(1) @ Z(11)) + 0.11666666666666667 * (Z(1) @ Z(12)) + 0.366666666... | 1 | 13 | 1 | {"smallest_eigenvalues": [-6.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.099999999999999, "smallest_bitstrings": ["0000001110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
ry(1.5708) q[5];
ry(1.5688) q[2];
cry(1.5637) q[2], q[3];
cry(1.5246) q[2], q[10];
ry(1.2134) q[1];
cry(-0.8704) q[9], q[11];
ry(0.6386) q[9];
cry(-0.7... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[13] c;\nqubit[13] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nry(1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = meas... |
8328621044505845926 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 7], [2, 5], [5, 6], [1, 5], [2, 6], [0, 2], [1, 3], [0, 4]]} | {"states": [61, 194], "expectation_value": -0.10136953589939666, "params": [[-0.0843], [0.077]], "bitstrings": ["11000010", "00111101"], "total_optimization_steps": 10, "probabilities": [0.004532734318699532, 0.004532734318699532], "optimization_time": 4.340623617172241} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.0, "smallest_bitstrings": ["10010111", "01101010", "01101000", "00111101", "11000010", "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];
cx q[7], q[1];
rz(-0.0843) q[1];
cx q[7], q[1];
cx q[1], q[5];
rz(-0.0843) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(-0.0843) q[2];
cx q[5], q[2];
cx q[5], q[6];
rz(-0.0843) q[6];
cx q[5], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[1];
rz(x0) q[1];
cx q[7], q[1];
cx q[1], q[5];
rz(x0) q[5];
cx q[1], q[5];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[5]... | null | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 6}, {"weight": 16, "source": 1, "target": 2}, {... | {"states": [118, 117], "expectation_value": -7.375841507418718, "params": [[-0.058800000000000005], [0.0699]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.007626897144968949, 0.008289706600998516], "optimization_time": 1.6299207210540771} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 6.0 * Z(0) + 9.5 * Z(3) + 16.0 * Z(2) + 5.0 * Z(4) + 7.0 * Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "smallest_bitstrings": ["10001010"]} | 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(-0.4704) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.4704) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.4704) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4704) q[2];
cx q[0], 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;
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": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5378628843727270665 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 5, 6], [3, 4], [8, 0, 4, 6], [8, 1, 4, 5], [3, 6], [8, 0, 6, 1], [0, 7], [2, 4]]} | {"states": [432, 404], "expectation_value": -2.8800535553363646, "params": null, "bitstrings": ["001001111", "001101011"], "total_optimization_steps": 46, "probabilities": [0.05078095594850754, 0.8857983128594672], "optimization_time": 87.32045817375183} | 0.16666666666666666 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.166666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101011"]} | 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(1.3603) q[0];
cry(-1.4404) q[0], q[7];
cry(-1.0342) q[6], q[3];
ry(1.3144) q[4];
cry(-1.4382) q[4], q[2];
cry(-0.5035) q[4], q[3];
ry(1.1547) q[6];
ry(-0.4361) q[3];
cry(0.339) q[4], q[... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.3603) 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] = m... |
06224520ded029e940b1fde3f5ab3e3b | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": 3, "target": 5}]} | {"states": [6, 7], "expectation_value": -1.6059239262227727, "params": [[[0.3194, -0.1857], [0.37520000000000003, 0.18150000000000002], [0.38480000000000003, -0.1797], [0.6462, 0.0063], [0.6897, 0.0009000000000000001], [0.5953, 0.0175]], [[0.3215, 0.1857], [0.37610000000000005, 0.18150000000000002], [0.3888000000000000... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 * ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.3194) q[0];
rz(-0.1857) q[0];
rx(0.3752) q[1];
rz(0.1815) q[1];
rx(0.3848) q[2];
rz(-0.1797) q[2];
rx(0.6462) q[3];
rz(0.0063) q[3];
rx(0.6897) q[4];
rz(0.0009) q[4];
rx(0.5953) q[5];
rz(0.0175) q[5];
rx(0.3215) q[0];
rz(0.1857) q[0];
rx(0.3761) q[1];
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[... | {"k": 3} | {"circuits": [], "gradients": []} |
bb78951d23ba1e63131fcc47aa4f8374 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "... | {"states": [500, 511], "expectation_value": -20.544176766815557, "params": null, "bitstrings": ["111000001011", "111000000000"], "total_optimization_steps": 100, "probabilities": [0.08118219795920009, 0.4509755229480553], "optimization_time": 345.7889838218689} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + 1.0 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + 1.0 * (Z(8) @ Z(7)) + -... | 1 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["111000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cry(1.5708) q[8], q[11];
cry(1.5708) q[11], q[10];
cry(1.1127) q[11], q[8];
cry(1.5708) q[2], q[1];
cry(1.5708) q[9], q[7];
ry(1.1118) q[9];
cry(1.5706) q[5], q... | null | {"node": 0} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\ncry(1.5708) q[8], q[11];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measur... |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [22, 7], "expectation_value": -3.16698465304716, "params": [[-0.0391, -0.0252, -0.0222, -0.0361], [0.058800000000000005, 0.037000000000000005, 0.0309, 0.0354]], "bitstrings": ["101001", "111000"], "total_optimization_steps": 10, "probabilities": [0.025945445995736244, 0.026773675392167285], "optimization_tim... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 14 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.1368) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1368) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1368) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1564) q[3];
cx q[1], q[3];
cx q[0], q[3];
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": 3} | {"circuits": [], "gradients": []} |
2811d61d5f2af44ed340d40c20ed9351 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [19, 26], "expectation_value": -0.11665328939787947, "params": [[-0.0373], [0.0488]], "bitstrings": ["1101100", "1100101"], "total_optimization_steps": 10, "probabilities": [0.008186949516866026, 0.00824353280903466], "optimization_time": 1.3883638381958008} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100101", "1101100", "1111000", "1110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0373) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0373) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0373) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0373) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(... | null | {"circuits": [], "gradients": []} |
aade6b836b57350e8a9bbf86526779e2 | 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": [399, 143], "expectation_value": -103.52916128393322, "params": [0.8544, 0.44670000000000004, 1.4948000000000001, 0.3047, 0.27290000000000003, 0.6291, -0.0027, 1.0275, 0.3216, 0.522, 1.4893, 0.003, 1.5031, -0.003, 1.4951, 0.0006000000000000001, 1.4956, 0.376, 0.8566, 0.0031000000000000003, 1.4982, 0.0092, 0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(6) @ Z(2)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-115.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8544) q[0];
rz(0.4467) q[0];
rx(1.4948) q[1];
rz(0.3047) q[1];
rx(0.2729) q[2];
rz(0.6291) q[2];
rx(-0.0027) q[3];
rz(1.0275) q[3];
rx(0.3216) q[4];
rz(0.522) q[4];
rx(1.4893) q[5];
rz(0.003) q[5];
rx(1.5031) q[6];
rz(-0.003) q[6];
rx(1.4951) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
8061c7d00448d73fc624ef8d7a226b6e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [2687, 2685], "expectation_value": -1.4147781292943702, "params": [[[2.1007000000000002, 0.0034000000000000002], [0.49050000000000005, 0.008], [1.9929000000000001, 0.005200000000000001], [0.5041, 0.0014], [1.1024, 0.0012000000000000001], [2.0964, 0.007], [2.0947, 0.0057], [2.1035, 0.0073], [2.1065, 0.0077], ... | 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(8) @ Z(9)) + -0.25 *... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.3125, -4.3125, -4.3125, -4.3125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.3125, "smallest_bitstrings": ["100110000001", "101000011000", "011000101000", "010110000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.1007) q[0];
rz(0.0034) q[0];
rx(0.4905) q[1];
rz(0.008) q[1];
rx(1.9929) q[2];
rz(0.0052) q[2];
rx(0.5041) q[3];
rz(0.0014) q[3];
rx(1.1024) q[4];
rz(0.0012) q[4];
rx(2.0964) q[5];
rz(0.007) q[5];
rx(2.0947) q[6];
rz(0.0057) q[6];
rx(2.1035) 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": []} |
0227fd0262660357a7db3e0f6c7f2278 | 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}], "edges": [{"weight": 2, "source": 0, "target": 3}, {"weight": 12, ... | {"states": [123, 118], "expectation_value": -21.303925179944127, "params": [[0.038, 0.0083, -0.0055000000000000005], [-0.0669, -0.0497, -0.0344]], "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 10, "probabilities": [0.012276634590419732, 0.014994759819773924], "optimization_time": 6.378161668777466... | 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(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(0)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-66.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(0.304) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.304) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.304) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.304) q[3];
cx q[0], q[3];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
b2ad92d1453e889b732cbfcfd082cd41 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [366, 234], "expectation_value": -11.464803344384118, "params": [[-0.0405], [0.0707]], "bitstrings": ["010010001", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0038862562951791357, 0.004444017516472903], "optimization_time": 2.1091296672821045} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(5)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-85.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0], q[2];
rz(-0.3645) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(-0.3645) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(-0.3645) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(-0.3645) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0],... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
cdcfba52a9f4860272a3dcf3b735a2ba | 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": [183, 182], "expectation_value": -66.80317762082399, "params": [0.0026000000000000003, 0.005200000000000001, 1.5658, 0.0037, 2.3867000000000003, 0.0055000000000000005, 0.0018000000000000002, 0.0004, 2.4058, 0.0078000000000000005, 2.4026, 0.0074, 1.1711, 0.0032, 2.3962000000000003, 0.008, 2.3921, 0.0024000000... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(6) @ Z(5)) + 7.5 * (Z(4) @ Z(1)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(7) @ Z(9)) + 7.5 * (Z(7) @ Z(8)) + 6.0 * Z(2) + 8.5 * Z(1) + 13.5 * Z(5) + -5.5 * Z(3) + 3.... | 18 | 10 | 1 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["1101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0026) q[0];
rz(0.0052) q[0];
rx(1.5658) q[1];
rz(0.0037) q[1];
rx(2.3867) q[2];
rz(0.0055) q[2];
rx(0.0018) q[3];
rz(0.0004) q[3];
rx(2.4058) q[4];
rz(0.0078) q[4];
rx(2.4026) q[5];
rz(0.0074) q[5];
rx(1.1711) q[6];
rz(0.0032) q[6];
rx(2.3962) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [3, 7], "expectation_value": -1.2481198175194264, "params": [[[0.28800000000000003, -0.09380000000000001], [0.3009, -0.0916], [0.2939, 0.0896], [0.455, 0.002], [0.4637, -0.0006000000000000001], [0.4626, -0.002]], [[0.2884, -0.09380000000000001], [0.2988, -0.092], [0.2883, 0.08940000000000001], [0.4562, 0.002... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.288) q[0];
rz(-0.0938) q[0];
rx(0.3009) q[1];
rz(-0.0916) q[1];
rx(0.2939) q[2];
rz(0.0896) q[2];
rx(0.455) q[3];
rz(0.002) q[3];
rx(0.4637) q[4];
rz(-0.0006) q[4];
rx(0.4626) q[5];
rz(-0.002) q[5];
rx(0.2884) q[0];
rz(-0.0938) q[0];
rx(0.2988) q[1];
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[... | {"k": 3} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [25, 19], "expectation_value": -3.9890654178560507, "params": null, "bitstrings": ["1100110", "1101100"], "total_optimization_steps": 31, "probabilities": [0.060236228906038886, 0.8645372940585687], "optimization_time": 24.320207118988037} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5681) q[4];
ry(1.4449) q[6];
cry(-1.0343) q[2], q[0];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[6], q[2];
ry(-0.4549) q[3];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
c502b67eb6d91d909ba398fa39bec60c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [4, 0], "expectation_value": -0.024181332061551833, "params": [[-0.0487], [0.0629]], "bitstrings": ["1011", "1111"], "total_optimization_steps": 10, "probabilities": [0.06326069678982642, 0.06404087504306165], "optimization_time": 1.924069881439209} | 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)) + -0.625 * Z... | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.125, "smallest_bitstrings": ["1111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0122) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0122) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0122) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0122) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0122) q[1];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(x... | null | {"circuits": [], "gradients": []} |
3816890346353333803 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 5], [3, 4], [2, 6], [4, 5], [0, 6], [1, 3]]} | {"states": [90, 116], "expectation_value": -0.04635449492883867, "params": [[0.0658], [-0.059500000000000004]], "bitstrings": ["0100101", "0001011"], "total_optimization_steps": 10, "probabilities": [0.008306269957532133, 0.008306269957532133], "optimization_time": 1.5092887878417969} | 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.0, "smallest_bitstrings": ["0100101", "1011000", "0001101", "1011100", "0001011", "1110010", "1110100", "1110110", "1011010", "0100111", "0001001", "0100011... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(0.0658) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(0.0658) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(0.0658) q[4];
cx q[3], q[4];
cx q[6], q[2];
rz(0.0658) q[2];
cx q[6], q[2];
cx q[6], q[0];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[6], q[2];
... | null | {"circuits": [], "gradients": []} |
4f4869ba4cf9bea66b96ad816525204d | 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": [159, 143], "expectation_value": -97.1942513898527, "params": [-0.0023, -0.6418, -0.0021000000000000003, 0.7128, 1.0649, -0.0002, -0.0026000000000000003, -0.68, 0.07730000000000001, 0.5056, 0.4682, -0.2874, 1.0663, 0.0045000000000000005, 1.0664, -0.0012000000000000001, 1.0641, -0.0024000000000000002, 0.899, ... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(4)) + 6.0 * (Z(5) @ Z(8)) + 6.0 * (Z(6) @ Z(8)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(0) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(3) @ Z(7)) + 6.0 * (Z(9) @ Z(5)) + 12.5 * Z(2) + -1.0 * Z(1) + 1.5 * ... | 18 | 10 | 3 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -92.5, "smallest_bitstrings": ["1101110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0023) q[0];
rz(-0.6418) q[0];
rx(-0.0021) q[1];
rz(0.7128) q[1];
rx(1.0649) q[2];
rz(-0.0002) q[2];
rx(-0.0026) q[3];
rz(-0.68) q[3];
rx(0.0773) q[4];
rz(0.5056) q[4];
rx(0.4682) q[5];
rz(-0.2874) q[5];
rx(1.0663) q[6];
rz(0.0045) q[6];
rx(1.0664) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
ac36c5a153720f2afd43ce774542e80a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [29, 31], "expectation_value": -4.372957453020678, "params": null, "bitstrings": ["100010", "100000"], "total_optimization_steps": 49, "probabilities": [0.2979775772741875, 0.44049318025090617], "optimization_time": 43.755486488342285} | -0.25 * (Z(0) @ Z(1)) + -2.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -1.25 * Z(3) + 2.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[4];
cry(1.5708) q[3], q[1];
cry(1.5708) q[1], q[5];
cry(-1.5708) q[5], q[0];
ry(1.5486) q[2];
cry(0.7984) q[5], q[3];
ry(-0.1772) q[1];
cry(-0.0403) q[4], q[1];
cry(-0.0037) q[2], q[1];
cry(0.2525) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) 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 \"stdgat... |
1792168887968305674 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 3], [8, 6], [8, 2], [0, 5], [0, 4], [3, 7]]} | {"states": [387, 454], "expectation_value": -0.019104460892066244, "params": [[-0.0347], [0.046200000000000005]], "bitstrings": ["001111100", "000111001"], "total_optimization_steps": 10, "probabilities": [0.0020287677936667373, 0.0020287677936667373], "optimization_time": 1.2410688400268555} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(7) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["111000110", "100100001", "000111001", "011011110", "010011011", "110000011", "001111100", "101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(-0.0347) q[1];
cx q[3], q[1];
cx q[6], q[8];
rz(-0.0347) q[8];
cx q[6], q[8];
cx q[8], q[2];
rz(-0.0347) q[2];
cx q[8], q[2];
cx q[5], q[0];
rz(-0.0347) q[0];
cx q[5], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[6], q[8];
rz(x0) q[8];
cx q[6], q[8];
cx q[8], q[2];
rz(x0) q[2];
cx q[8], q[2];... | null | {"circuits": [], "gradients": []} |
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