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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9c2f02be2c499f1518832ddbbd315206 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 6}, ... | {"states": [170, 169], "expectation_value": -3.1369529703632035, "params": [0.3996, 0.004, 0.39480000000000004, -0.0006000000000000001, 0.0002, 0.3144, -0.0061, 0.3185, 0.40180000000000005, 0.013900000000000001, 0.40390000000000004, 0.0344, -0.0048000000000000004, 0.3393, -0.0027, 0.3779, 0.41450000000000004, -0.002400... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0... | 7 | 8 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5625, "smallest_bitstrings": ["01010110", "01010101", "01011001", "10010110", "01110100", "01011100", "11010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3996) q[0];
rz(0.004) q[0];
rx(0.0002) q[1];
rz(0.3144) q[1];
rx(0.4018) q[2];
rz(0.0139) q[2];
rx(-0.0048) q[3];
rz(0.3393) q[3];
rx(0.4145) q[4];
rz(-0.0024) q[4];
rx(0.001) q[5];
rz(0.2964) q[5];
rx(0.274) q[6];
rz(-0.1446) q[6];
rx(0.2506) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
dac6cb03ea42611247637fffb99ef36a | 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": 3}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -9.809830483959013, "params": [-0.0038, -0.0854, 0.0007, 0.0086, 0.0013000000000000002, -0.2944, 0.0057, -0.23520000000000002, 0.4082, 0.06960000000000001, 0.40940000000000004, 0.0016, 0.0032, -0.3039, 0.0022, -0.30210000000000004, 0.0046, -0.255, 0.0013000000000000002, -0.2851... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(10) @ Z(4)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(10)) + -0.5 * (Z(7) @ Z(10)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(3) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(... | 5 | 11 | 2 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0038) q[0];
rz(-0.0854) q[0];
rx(0.0013) q[1];
rz(-0.2944) q[1];
rx(0.4082) q[2];
rz(0.0696) q[2];
rx(0.0032) q[3];
rz(-0.3039) q[3];
rx(0.0046) q[4];
rz(-0.255) q[4];
rx(0.0039) q[5];
rz(-0.2896) q[5];
rx(0.0039) q[6];
rz(-0.3018) q[6];
rx(0.0031) 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": []} |
8abcecb9be692ba9d31a27398366ffa4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [33, 1], "expectation_value": -10.999987376440629, "params": null, "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 21, "probabilities": [1.2623559254683014e-05, 0.9999873764407292], "optimization_time": 18.6790931224823} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "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(-1.5708) q[2];
ry(-1.5708) q[5];
ry(-1.5708) q[4];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
cry(-0.1188) q[6], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measu... | 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", "... |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 14], "expectation_value": -0.5143750347896054, "params": [[0.0719, 0.0579, 0.0724], [-0.0824, -0.053200000000000004, -0.0626]], "bitstrings": ["01110", "10001"], "total_optimization_steps": 10, "probabilities": [0.04896530013453493, 0.05090637142405398], "optimization_time": 3.312408924102783} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0719) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0719) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0719) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0719) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.0719) 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] 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;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [20, 24], "expectation_value": -2.9741073126594983, "params": null, "bitstrings": ["01011", "00111"], "total_optimization_steps": 14, "probabilities": [0.07397885559790421, 0.9005751935612479], "optimization_time": 8.310381889343262} | 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(2) @ Z(1)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["00111", "01011", "10101"]} | 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[4];
ry(-1.4449) q[3];
ry(1.4417) q[0];
cry(-1.0398) q[1], q[2];
ry(0.7022) q[1];
ry(-0.4578) q[2];
cry(0.4969) q[0], q[1];
cry(-0.3761) q[0], q[2];
cry(-0.1216) q[0], q[3];
cry(0.1097) q[1], q[0];
cry(-0.07... | 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[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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 49.894219160079956} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | 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[3];
cry(1.5708) q[4], q[2];
cry(1.5707) q[5], q[1];
ry(0.614) q[5];
cry(-1.5394) q[5], q[0];
cry(0.3623) q[2], q[1];
cry(0.5361) q[1], q[5];
cry(0.1049) q[1], q[2];
ry(0.23) q[4];
cry(0.1174) q[5], 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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
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": -28.277322829580132, "params": [-0.0032, 0.0012000000000000001, 0.002, 0.9665, 1.6078000000000001, -0.0051, 0.0024000000000000002, 0.0099, -0.0027, 0.0076, 0.0026000000000000003, 0.0082, 0.0026000000000000003, 0.0064, -0.039400000000000004, 0.0, 0.0026000000000000003, 0.005, 0.... | -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... | 4 | 11 | 1 | {"smallest_eigenvalues": [-35.5, -35.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -31.5, "smallest_bitstrings": ["11011111111", "11011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0032) q[0];
rz(0.0012) q[0];
rx(0.002) q[1];
rz(0.9665) q[1];
rx(1.6078) q[2];
rz(-0.0051) q[2];
rx(0.0024) q[3];
rz(0.0099) q[3];
rx(-0.0027) q[4];
rz(0.0076) q[4];
rx(0.0026) q[5];
rz(0.0082) q[5];
rx(0.0026) q[6];
rz(0.0064) q[6];
rx(-0.0394) 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": []} |
267f594e5cb21532a1a860c7d4e0717d | 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": 8, "source": 0, "target": 3}, {"weight": 15, ... | {"states": [230, 118], "expectation_value": -17.423168162067796, "params": [[0.0292, 0.0091], [-0.0616, -0.0631]], "bitstrings": ["00011001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.009887035979631942, 0.010876332654610594], "optimization_time": 3.1642463207244873} | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 21.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-67.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "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(0.2336) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2336) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2336) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2336) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
4d9e1d8b3b11f3e10faaac0ed524e33d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 10, "source": 0, "... | {"states": [151, 93], "expectation_value": -7.4104271741379995, "params": [[-0.0444], [0.057]], "bitstrings": ["01101000", "10100010"], "total_optimization_steps": 10, "probabilities": [0.006591711699055468, 0.007242049784200246], "optimization_time": 1.5839834213256836} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(1) + 5.0 * Z(0) + 1.0 * Z(2) + 7.0 * Z(3) + 15.0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3996) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(-0.3996) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.3996) q[4];
cx q[0], q[4];
cx q[2], q[5];
rz(-0.3996) q[5];
cx q[2], 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
5bb3f230f56ac9bab802a8146772ac94 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [66, 3], "expectation_value": -19.386139049700077, "params": [[0.028300000000000002, 0.012400000000000001, 0.0051, -0.00030000000000000003], [-0.0687, -0.06420000000000001, -0.0608, -0.046200000000000005]], "bitstrings": ["0111101", "1111100"], "total_optimization_steps": 10, "probabilities": [0.020409092943... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 3.0 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 2.... | 10 | 7 | 4 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1557) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1557) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1557) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1557) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
7785e3e7ad6fcc746d4b86c67fd57c41 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3... | {"states": [32, 37], "expectation_value": -6.7499846294977495, "params": null, "bitstrings": ["1011111", "1011010"], "total_optimization_steps": 22, "probabilities": [0.13524994988448263, 0.7500017798526092], "optimization_time": 13.77223801612854} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + 1.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(4)) + 0.25 * Z(2) + -0.25 * Z(0) + 1.5 * Z(4) + 2.25 * Z(1) + -2.5 * Z(3) + -1.25 * Z(5)... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1011010", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5706) q[5];
cry(1.5486) q[6], q[4];
cry(1.228) q[4], q[6];
ry(1.5158) q[1];
cry(-1.4869) q[6], q[0];
ry(-1.3848) q[2];
cry(-0.1701) q[1], q[2];
ry(-0.0831) q[0];
cry(0.048) q[4], q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9aafe0580999b1b0b4b8e8eda0d2bc18 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 18, "source": 0, "target": 3}, {"weight": 11, "source": 0, "target": 5}, {"weight": 1... | {"states": [186, 124], "expectation_value": -11.040568059515946, "params": [[-0.0247, -0.0337], [0.0298, 0.057100000000000005]], "bitstrings": ["01000101", "10000011"], "total_optimization_steps": 10, "probabilities": [0.007855261606802522, 0.008947818052499616], "optimization_time": 4.0146098136901855} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000011"]} | 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(-0.1729) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1729) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1729) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1729) 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
b544db8fcf6adb81c07ea7ca49fa3980 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "ta... | {"states": [34, 98], "expectation_value": -5.6662356941777166, "params": [[-0.0074, 0.395, 0.9837, -0.0194, 0.0006000000000000001, -0.0091, 0.6516000000000001, 0.0027], [0.0024000000000000002, -0.4273, 0.9660000000000001, -0.0103, 0.002, 0.0097, 0.6554, 0.0088], [0.0063, 0.433, 0.9624, -0.096, 0.004, 0.0004, 0.657, -0.... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(5) ... | 10 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["10011101", "01100111", "00110111", "00011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0074) q[0];
ry(0.395) q[1];
ry(0.9837) q[2];
ry(-0.0194) q[3];
ry(0.0006) q[4];
ry(-0.0091) q[5];
ry(0.6516) q[6];
ry(0.0027) 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": []} |
4709072898790434795 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 3], [2, 4], [1, 2]]} | {"states": [11, 20], "expectation_value": -0.04681160415360151, "params": [[0.0784], [-0.0761]], "bitstrings": ["10100", "01011"], "total_optimization_steps": 10, "probabilities": [0.03424051795743557, 0.03424051795743557], "optimization_time": 0.3547205924987793} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(0.0784) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(0.0784) q[3];
cx q[0], q[3];
cx q[4], q[2];
rz(0.0784) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(0.0784) q[1];
cx q[2], q[1];
rz(0) q[4];
rz(0) q[0];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[1];
rz(x0) q[1];
cx ... | null | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | 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": 3}, {"source": 2, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -10.381239258907815, "params": [[[1.0381, 0.006200000000000001], [0.6261, 0.0067], [0.6246, 0.0078000000000000005], [0.3966, 0.0066], [1.5942, 0.006200000000000001], [1.6058000000000001, 0.0097]]], "bitstrings": ["111110", "111100"], "total_optimization_steps": 160, "probabilitie... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.5 ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.0381) q[0];
rz(0.0062) q[0];
rx(0.6261) q[1];
rz(0.0067) q[1];
rx(0.6246) q[2];
rz(0.0078) q[2];
rx(0.3966) q[3];
rz(0.0066) q[3];
rx(1.5942) q[4];
rz(0.0062) q[4];
rx(1.6058) q[5];
rz(0.0097) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 4} | {"circuits": [], "gradients": []} |
3bcfe4648282d1b3b76d6f42e87e5c5d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 17, "source": 1, "target": 5}, {"weight": 7... | {"states": [119, 118], "expectation_value": -70.20167900808568, "params": [0.4284, 0.554, 1.5805, 0.0037, 1.5817, 0.0017000000000000001, 1.5843, -0.1736, 0.5506, -0.5116, 1.5834000000000001, -0.0032, 1.5884, -0.1721, 0.8342, -0.3685, 0.43270000000000003, 0.005200000000000001, 1.5834000000000001, 0.007200000000000001, 1... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(4) @ Z(5)) + 3.5 * (Z(6) @ Z(2)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 18 | 8 | 2 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4284) q[0];
rz(0.554) q[0];
rx(1.5805) q[1];
rz(0.0037) q[1];
rx(1.5817) q[2];
rz(0.0017) q[2];
rx(1.5843) q[3];
rz(-0.1736) q[3];
rx(0.5506) q[4];
rz(-0.5116) q[4];
rx(1.5834) q[5];
rz(-0.0032) q[5];
rx(1.5884) q[6];
rz(-0.1721) q[6];
rx(0.8342) 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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
847083b10922884c06975a23450a6e62 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target":... | {"states": [445, 508], "expectation_value": -13.707582849908817, "params": null, "bitstrings": ["001000010", "000000011"], "total_optimization_steps": 100, "probabilities": [0.059340747722422774, 0.6207169970632207], "optimization_time": 226.97494912147522} | -3.0 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[0], q[2];
ry(1.0258) q[0];
cry(1.5708) q[2], q[3];
cry(1.5709) q[3], q[5];
ry(-1.1257) q[2];
cry(0.0051) q[5], q[2];
cry(0.028) q[3], q[2];
cry(1.4899) q[8], q[2];
cry(1.5708... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[0], 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... |
e58428a6900eb2eef0cb4731fd8b4a99 | 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": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -0.5441754905842187, "params": [[-0.014400000000000001, -0.058300000000000005], [-0.032100000000000004, 0.061700000000000005]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.009962168736977878, 0.010269216846035732], "optimization_time"... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1011110", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0144) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.036) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.0288) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0144) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
b7602418da2fb1da8d0e3bf56e052253 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [372, 374], "expectation_value": -2.2499345581294152, "params": [0.029500000000000002, -0.48950000000000005, 1.0017, 0.1257, 0.0413, 0.49310000000000004, 0.999, 0.01, 0.8482000000000001, 0.08020000000000001, 0.8395, 0.2462, 0.3844, 0.4273, 0.9858, 0.0857, 0.5629000000000001, -0.0217, -0.0043, 0.4951000000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 18 | 10 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.25, "smallest_bitstrings": ["1000010110", "0011100001", "0010100110", "1000011001", "0010101001", "0010100011", "1001010001", "1010000110", "1010001001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0295) q[0];
rz(-0.4895) q[0];
rx(1.0017) q[1];
rz(0.1257) q[1];
rx(0.0413) q[2];
rz(0.4931) q[2];
rx(0.999) q[3];
rz(0.01) q[3];
rx(0.8482) q[4];
rz(0.0802) q[4];
rx(0.8395) q[5];
rz(0.2462) q[5];
rx(0.3844) q[6];
rz(0.4273) q[6];
rx(0.9858) 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": []} |
5ca04f1f68578073d0992d728781edf5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [244, 247], "expectation_value": -10.703794216741198, "params": null, "bitstrings": ["00001011", "00001000"], "total_optimization_steps": 99, "probabilities": [0.099181393789283, 0.5066919905508731], "optimization_time": 214.2678418159485} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 1.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000100", "00001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5708) q[5], q[2];
cry(1.5709) q[2], q[1];
cry(1.5708) q[2], q[3];
cry(1.5709) q[3], q[0];
cry(-1.9563) q[0], q[2];
ry(-0.015) q[2];
cry(-0.0125) q[3], q[2];
cry(1.0436) q[1], q[2];
cry(1.011... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5708) q[5], 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] = mea... |
30e28b56cad01a233ddf0894e9b7eaa8 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 50], "expectation_value": -3.999937478449852, "params": null, "bitstrings": ["001110", "001101"], "total_optimization_steps": 28, "probabilities": [1.6357230666329146e-05, 0.9999687399529342], "optimization_time": 21.715664863586426} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(1) + -0.5 * Z(5) + -1.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110010", "001101"]} | 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[2];
ry(-1.5681) q[3];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[5];
cry(0.1218) q[0], q[1];
cry(0.1216) q[1], q[4];
cry(0.1186) q[4], q[0];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2411415153983537387 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 11], [3, 5, 8, 9, 10, 12], [0, 2, 3, 4, 6, 9, 10], [10, 4, 5], [9, 2, 12], [2, 3, 7, 10, 12], [11, 6], [1, 9, 7], [1, 2, 6, 7, 12], [11, 3, 5], [0, 1, 6, 7], [3, 4, 7, 8, 12], [1, 2, 10, 6], [0, 11], [2, 11, 5], [11, 12], [2, 12, 5], [8, 1, 4, 7],... | {"states": [6873, 6877], "expectation_value": -6.099019359647805, "params": [1.5844, 1.5823, 1.5789, 1.5774000000000001, 0.5872, 0.5806, 1.5791000000000002, 1.5763, 0.5688, 0.5667, 1.5843, 1.5839, 1.5766, 1.5796000000000001, 0.5644, 0.5562, 1.0085, 1.0044, 1.5837, 1.5831000000000002, 0.9171, 0.862, 0.12190000000000001,... | 0.5 * (Z(9) @ Z(11)) + 0.16666666666666666 * (Z(3) @ Z(11)) + 0.14047619047619048 * (Z(3) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(11)) + 0.06666666666666667 * (Z(5) @ Z(9)) + 0.2833333333333333 * (Z(5) @ Z(3)) + 0.06666666666666667 * (Z(8) @ Z(9)) + 0.21666666666666667 * (Z(8) @ Z(3)) + 0.06666666666666667 * (Z(8) @ Z... | 13 | 13 | 1 | {"smallest_eigenvalues": [-7.123809523809522], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.709523809523809, "smallest_bitstrings": ["0010100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5844) q[0];
ry(1.5789) q[1];
ry(0.5872) q[2];
ry(1.5791) q[3];
ry(0.5688) q[4];
ry(1.5843) q[5];
ry(1.5766) q[6];
ry(0.5644) q[7];
ry(1.0085) q[8];
ry(1.5837) q[9];
ry(0.9171) q[10];
ry(0.1219) q[11];
ry(1.5815) q[12];
crz(-0.0041) q[12], q[0];
crz(-0.6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
82f2332f741b5ec7aa4bb36843cd0c9a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [348, 350], "expectation_value": -1.2197426360724748, "params": [1.1042, -0.3619, 0.6991, -0.3637, 1.0978, -0.2353, 0.25270000000000004, 0.4279, 1.1015000000000001, 0.029500000000000002, 1.1002, 0.0036000000000000003, 1.1076000000000001, 0.2625, 0.9760000000000001, 0.7556, 0.4554, 0.6601, 1.1037000000000001,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(4) @ Z(6)) + 0.... | 18 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["100001010", "001100010", "010100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.1042) q[0];
rz(-0.3619) q[0];
rx(0.6991) q[1];
rz(-0.3637) q[1];
rx(1.0978) q[2];
rz(-0.2353) q[2];
rx(0.2527) q[3];
rz(0.4279) q[3];
rx(1.1015) q[4];
rz(0.0295) q[4];
rx(1.1002) q[5];
rz(0.0036) q[5];
rx(1.1076) q[6];
rz(0.2625) q[6];
rx(0.976) 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": []} |
-7092783863202190968 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [0, 3], [1, 4, 5, 6], [3, 5, 6], [1, 7]]} | {"states": [143, 230], "expectation_value": -0.8809659771057944, "params": [[0.453], [-0.4239]], "bitstrings": ["01110000", "00011001"], "total_optimization_steps": 50, "probabilities": [0.016876942420662778, 0.016876942420662785], "optimization_time": 1.5693037509918213} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.25 * (Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["00011001", "10100011", "01110000", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(0.453) q[2];
cx q[4], q[2];
cx q[3], q[0];
rz(0.453) q[0];
cx q[3], q[0];
cx q[4], q[1];
rz(0.0755) q[1];
cx q[4], q[1];
cx q[4], q[5];
rz(0.0755) q[5];
cx q[4], q[5];
cx q[3], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[2];
rz(x0) q[2];
cx q[4],... | null | {"circuits": [], "gradients": []} |
1c2304a67a30db02b0aacaef8f54cc49 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 12, "source": 0, "target": 4}, {... | {"states": [119, 118], "expectation_value": -65.64097258475412, "params": [0.3614, 0.40290000000000004, 1.0454, -0.0092, 1.0548, -0.0007, 1.0706, 0.0584, 0.4514, 0.3472, 1.0487, -0.0149, 1.0661, 0.1333, 0.5026, 0.36060000000000003, 0.3561, 0.40640000000000004, 1.08, -0.0086, 1.0529, -0.004, 1.0648, 0.0538, 0.4568000000... | 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(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 18 | 8 | 3 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3614) q[0];
rz(0.4029) q[0];
rx(1.0454) q[1];
rz(-0.0092) q[1];
rx(1.0548) q[2];
rz(-0.0007) q[2];
rx(1.0706) q[3];
rz(0.0584) q[3];
rx(0.4514) q[4];
rz(0.3472) q[4];
rx(1.0487) q[5];
rz(-0.0149) q[5];
rx(1.0661) q[6];
rz(0.1333) q[6];
rx(0.5026) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
37b183b4dc70145272a31a80cccd7f15 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 4, "source": 1, ... | {"states": [127, 125], "expectation_value": -2.626369875172006, "params": [[-0.0441, -0.0152, -0.051500000000000004, -0.0659], [0.0708, -0.0007, 0.0453, 0.0603]], "bitstrings": ["10000000", "10000010"], "total_optimization_steps": 10, "probabilities": [0.011261524679394076, 0.011542769968475208], "optimization_time": 6... | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(5) @ Z(1)) + -2.25 * (Z(5) @ Z(2)) + -1.25 * (Z(7) @ Z(4)) + 1.5 * (Z(7) @ Z(0)) + 0.75 * Z(4) + -... | 1 | 8 | 4 | {"smallest_eigenvalues": [-11.25, -11.25, -11.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000", "10000010", "11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.0662) q[0];
cx q[4], q[0];
cx q[0], q[6];
rz(0.0441) q[6];
cx q[0], q[6];
cx q[4], q[1];
rz(0.0221) q[1];
cx q[4], q[1];
cx q[6], q[1];
rz(0.0221) q[1];
cx q[6], q[1];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [3, 7], "expectation_value": -1.8517219179083846, "params": null, "bitstrings": ["1100", "1000"], "total_optimization_steps": 14, "probabilities": [0.4257862750449693, 0.4305607452087847], "optimization_time": 6.170287609100342} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.5158) q[3], q[0];
ry(1.048) q[3];
ry(1.4882) q[2];
ry(-0.3463) q[0];
cry(0.3109) q[2], q[3];
cry(-0.2854) q[2], q[0];
cry(0.139) q[1], q[3];
cry(0.0779) q[1], q[2];
cry(-0.0843) q[1], q[0];
cry(-0.0393) q[0], q[3];
c[0] =... | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.5158) q[3], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
-2774849660618634727 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 4, 5, 6], [2, 6], [0, 3], [8, 1], [6, 7], [0, 1, 5, 7], [8, 2, 7]]} | {"states": [466, 250], "expectation_value": -0.0694209941650254, "params": [[0.0779], [-0.0853]], "bitstrings": ["000101101", "100000101"], "total_optimization_steps": 10, "probabilities": [0.0022243147373754847, 0.0022243879919920904], "optimization_time": 2.2602899074554443} | 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.08333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["000101101", "100000101"]} | 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[4], q[0];
rz(0.013) q[0];
cx q[4], q[0];
cx q[4], q[5];
rz(0.013) q[5];
cx q[4], q[5];
cx q[0], q[5];
rz(0.026) q[5];
cx q[0], q[5];
cx q[4], q[6];
rz(0.013) q[6];
cx q[4], 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;
input float[64] x6;
input float[64] x7;
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[4], q[0];
rz(x0) q[0];
... | null | {"circuits": [], "gradients": []} |
1031550142790787292 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[5, 6], [3, 4], [4, 5], [0, 2], [1, 2]]} | {"states": [18, 26], "expectation_value": -0.012428443928787489, "params": [[[1.4837, 0.0021000000000000003], [1.4806000000000001, 0.0058000000000000005], [1.6432, 0.0067], [1.6144, 0.0], [1.5042, 0.006], [1.6322, 0.009600000000000001], [1.488, 0.007]]], "bitstrings": ["1101101", "1100101"], "total_optimization_steps":... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0010101", "0011010", "1101010", "1100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.4837) q[0];
rz(0.0021) q[0];
rx(1.4806) q[1];
rz(0.0058) q[1];
rx(1.6432) q[2];
rz(0.0067) q[2];
rx(1.6144) q[3];
rz(0) q[3];
rx(1.5042) q[4];
rz(0.006) q[4];
rx(1.6322) q[5];
rz(0.0096) q[5];
rx(1.488) q[6];
rz(0.007) q[6];
c[0] = measure q[0];
c[1] = me... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
1015795347825022787 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6], [0, 4], [1, 7], [1, 2], [3, 5]]} | {"states": [78, 47], "expectation_value": -2.220255519003154, "params": null, "bitstrings": ["10110001", "11010000"], "total_optimization_steps": 61, "probabilities": [0.04754822922489993, 0.6622830355545474], "optimization_time": 56.47486972808838} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["01011000", "00101111", "01001110", "10100111", "11010000", "11000110", "00111001", "10110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[1];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[4], q[0];
ry(0.7003) q[6];
cry(-0.7092) q[5], q[3];
cry(1.1516) q[6], q[5];
ry(0.7003) q[7];
cry(-0.7092) q[2], q[1];
cry(1.1516) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], 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] = me... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [9, 35], "expectation_value": -1.0002439201714401, "params": [[0.06860000000000001, 0.0722, 0.0577], [-0.0702, -0.0685, -0.0506]], "bitstrings": ["110110", "011100"], "total_optimization_steps": 10, "probabilities": [0.02411404095550783, 0.026075688479273388], "optimization_time": 3.6062066555023193} | 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(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0686) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0686) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0686) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0686) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0686... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
63502e11a201c8f253d63daf92a64090 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4},... | {"states": [639, 63], "expectation_value": -20.657574544236216, "params": null, "bitstrings": ["10110000000", "11111000000"], "total_optimization_steps": 100, "probabilities": [0.09770980539366007, 0.4511456892164266], "optimization_time": 297.0987057685852} | 0.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + 1.0 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(5)) + -2.5... | 1 | 11 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["11111000000"]} | 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];
ry(-1.5708) q[2];
cry(1.5708) q[5], q[6];
ry(1.0258) q[5];
cry(1.5708) q[10], q[8];
ry(1.1546) q[10];
cry(1.5708) q[10], q[9];
cry(1.5708) q[8], q[7];
ry(-0.5725) q[6];
... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\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] = m... |
-7409011384284673023 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5, 6], [0, 2, 3, 6], [0, 1, 2, 5], [0, 2, 5, 6], [1, 2, 3, 4], [0, 3, 5]]} | {"states": [123, 59], "expectation_value": -0.9167310769168808, "params": [[[1.5513000000000001, 0.004200000000000001], [2.6156, 0.0085], [1.6374000000000002, 0.009600000000000001], [2.6188000000000002, 0.0036000000000000003], [1.5478, 0.0019], [2.6212, 0.009300000000000001], [2.5774, 0.0095]]], "bitstrings": ["0000100... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.0833333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.5833333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.416666666666667, "smallest_bitstrings": ["1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.5513) q[0];
rz(0.0042) q[0];
rx(2.6156) q[1];
rz(0.0085) q[1];
rx(1.6374) q[2];
rz(0.0096) q[2];
rx(2.6188) q[3];
rz(0.0036) q[3];
rx(1.5478) q[4];
rz(0.0019) q[4];
rx(2.6212) q[5];
rz(0.0093) q[5];
rx(2.5774) q[6];
rz(0.0095) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | null | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}]} | {"states": [27627, 27371], "expectation_value": -7.974165135077758, "params": [0.7766000000000001, -0.0304, 0.8472000000000001, 0.06470000000000001, 0.36920000000000003, 0.3512, 0.8114, 0.040600000000000004, 0.3764, 0.35400000000000004, 0.8036000000000001, 0.30870000000000003, 0.522, 0.324, 0.7641, 0.1481, 0.7864, 0.04... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 16 | 15 | 4 | {"smallest_eigenvalues": [-9.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.499999999999968, "smallest_bitstrings": ["001010100010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.7766) q[0];
rz(-0.0304) q[0];
rx(0.8472) q[1];
rz(0.0647) q[1];
rx(0.3692) q[2];
rz(0.3512) q[2];
rx(0.8114) q[3];
rz(0.0406) q[3];
rx(0.3764) q[4];
rz(0.354) q[4];
rx(0.8036) q[5];
rz(0.3087) q[5];
rx(0.522) q[6];
rz(0.324) q[6];
rx(0.7641) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
834390fba4c480def6c6a26217d7a9af | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5... | {"states": [1, 33], "expectation_value": -9.458142574355062, "params": [[[0.002, 0.0037], [-1.6395000000000002, 0.001], [-0.0024000000000000002, 0.001], [0.0024000000000000002, 0.0047], [0.0023, 0.006], [-0.0025, 0.0004], [2.8999, 0.0012000000000000001]]], "bitstrings": ["1111110", "1011110"], "total_optimization_steps... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + 2.25 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + -0.75 * (Z(1) @ Z(6)) + -0.75 * Z(2) + -0.25 * Z(0) + -0.75 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) + 1.5 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.002) q[0];
rz(0.0037) q[0];
rx(-1.6395) q[1];
rz(0.001) q[1];
rx(-0.0024) q[2];
rz(0.001) q[2];
rx(0.0024) q[3];
rz(0.0047) q[3];
rx(0.0023) q[4];
rz(0.006) q[4];
rx(-0.0025) q[5];
rz(0.0004) q[5];
rx(2.8999) q[6];
rz(0.0012) q[6];
c[0] = measure q[0];
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] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
84dcff3fa5f1cb1271083d4a9838c54d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -26.779872412446935, "params": [[[-0.0011, 0.0025], [0.0005, -0.005200000000000001], [0.0007, -0.0024000000000000002], [-0.0039000000000000003, -0.0029000000000000002], [-0.003, -0.0029000000000000002], [-0.0013000000000000002, -0.0028], [0.0039000000000000003, -0.00290000000... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0011) q[0];
ry(0.0005) q[1];
ry(0.0007) q[2];
ry(-0.0039) q[3];
ry(-0.003) q[4];
ry(-0.0013) q[5];
ry(0.0039) q[6];
ry(0.0047) q[7];
ry(-1.6012) q[8];
ry(0.1544) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-5028302506184273319 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 6], [0, 5], [1, 2], [1, 3], [4, 5]]} | {"states": [93, 100], "expectation_value": -0.05907200695058394, "params": [[-0.0792], [0.076]], "bitstrings": ["0100010", "0011011"], "total_optimization_steps": 10, "probabilities": [0.008765826908399825, 0.008765826908399825], "optimization_time": 0.4500296115875244} | 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["0100010", "1011101", "1100100", "0011011"]} | 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[6], q[1];
rz(-0.0792) q[1];
cx q[6], q[1];
cx q[5], q[0];
rz(-0.0792) q[0];
cx q[5], q[0];
cx q[1], q[2];
rz(-0.0792) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.0792) q[3];
cx q[1], q[3];
cx q[5], q[4... | 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[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[1], q[3];
... | null | {"circuits": [], "gradients": []} |
91ee5f0f4255f3e469e33f428a617749 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [378, 234], "expectation_value": -19.37879794275354, "params": [[0.0441, 0.008], [-0.08460000000000001, -0.0594]], "bitstrings": ["010000101", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007356656150081491, 0.008754985323340032], "optimization_time": 5.7113730907440186} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "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[1], q[0];
rz(0.3969) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3969) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3969) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3969) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
369573ac9490fc7ab9a36c7a904e7496 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [31, 127], "expectation_value": -11.313484445969179, "params": null, "bitstrings": ["1100000", "0000000"], "total_optimization_steps": 91, "probabilities": [0.13135692200436766, 0.4588667181162094], "optimization_time": 151.80489993095398} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 1.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(4) + -1.0 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["0000000", "0000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5708) q[4], q[1];
cry(1.5708) q[1], q[3];
cry(1.2044) q[3], q[2];
cry(1.1944) q[3], q[4];
ry(-1.3145) q[1];
cry(0.2677) q[2], q[1];
cry(0.0319) q[3], q[1];
cry(1.1791) q[0], q[1];
cry(1.3384) q[1], ... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(1.5708) q[4], 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]... |
f20b14ccaf46fd91ed39b9c05edbe906 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target"... | {"states": [53, 78], "expectation_value": -0.31864377713651104, "params": [[0.058600000000000006, 0.0671, 0.0656, 0.07], [-0.0304, -0.0531, -0.0557, -0.0536]], "bitstrings": ["1001010", "0110001"], "total_optimization_steps": 10, "probabilities": [0.012752294489948903, 0.012752294489948909], "optimization_time": 10.367... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(0) @ Z(6)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.12... | 1 | 7 | 4 | {"smallest_eigenvalues": [-2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125, -2.125], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -1.125, "smallest_bitstrings": ["1010001", "1001010", "0110001", "1110000", "1011000", "0101100", "1010010", "0110100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0586) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0586) q[2];
cx q[3], q[2];
cx q[2], q[4];
rz(0.0293) q[4];
cx q[2], q[4];
cx q[2], q[5];
rz(0.0293) q[5];
cx q[2], q[5];
cx q[5], q[4];
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": []} |
9eba8dae3a2c8a4dc2b5a9862162c8c2 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [148, 212], "expectation_value": -4.976527454935624, "params": [[0.7985, 0.32330000000000003, 0.0426, 0.7407, -0.0407, 0.6344000000000001, 0.0018000000000000002, -0.0046], [0.48090000000000005, -0.18630000000000002, 0.1373, 0.5562, 0.021500000000000002, 0.6323000000000001, 0.006200000000000001, -0.0049], [0.... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(4) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z... | 10 | 8 | 4 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["00101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.7985) q[0];
ry(0.3233) q[1];
ry(0.0426) q[2];
ry(0.7407) q[3];
ry(-0.0407) q[4];
ry(0.6344) q[5];
ry(0.0018) q[6];
ry(-0.0046) 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": []} |
1a9ed9a666e19120fea8169482f67ae7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 7}, {"weight": 15, "source": 1, "target": 6}, {"weight": 19, "source": 1, "tar... | {"states": [246, 244], "expectation_value": -14.30824677039543, "params": [[0.0176, 0.015300000000000001], [-0.0375, -0.054200000000000005]], "bitstrings": ["100001001", "100001011"], "total_optimization_steps": 10, "probabilities": [0.004019851790659701, 0.0045458051355702165], "optimization_time": 3.7938499450683594} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.0, "smallest_bitstrings": ["100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1584) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.1584) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.1584) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.1584) q[4];
cx q[0], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -9.626673420601652, "params": [0.0055000000000000005, -0.22410000000000002, 0.0027, 0.44820000000000004, 0.0008, 0.4193, 0.0027, 0.4526, 0.0015, 0.4509, 0.0018000000000000002, 0.4554, 0.0016, 0.4587, 0.0036000000000000003, 0.4304, 0.6061000000000001, 0.0031000000000000003, 0.0012... | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 4 | 9 | 3 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0055) q[0];
rz(-0.2241) q[0];
rx(0.0027) q[1];
rz(0.4482) q[1];
rx(0.0008) q[2];
rz(0.4193) q[2];
rx(0.0027) q[3];
rz(0.4526) q[3];
rx(0.0015) q[4];
rz(0.4509) q[4];
rx(0.0018) q[5];
rz(0.4554) q[5];
rx(0.0016) q[6];
rz(0.4587) q[6];
rx(0.0036) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
068ca9ebc869ed2b6b1f40ca0469471e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, ... | {"states": [2904, 2556], "expectation_value": -1.3210273018554657, "params": [[[0.44530000000000003, 0.0855], [0.052000000000000005, 0.021], [0.7047, -0.1213], [0.7020000000000001, 0.4792], [0.47690000000000005, 0.315], [0.7025, 0.45580000000000004], [0.4229, 0.5181], [0.4889, 0.4796], [0.3935, 0.35860000000000003], [0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(7)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) ... | 15 | 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, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.75, "smallest_bitstrings": ["110010000001", "011000000110", "011000... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4453) q[0];
ry(0.052) q[1];
ry(0.7047) q[2];
ry(0.702) q[3];
ry(0.4769) q[4];
ry(0.7025) q[5];
ry(0.4229) q[6];
ry(0.4889) q[7];
ry(0.3935) q[8];
ry(0.1457) q[9];
ry(0.6979) q[10];
ry(0.7007) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f619afa25c1921f996d128a1dfefef72 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 5}]} | {"states": [30, 27], "expectation_value": -3.4998990606636267, "params": null, "bitstrings": ["100001", "100100"], "total_optimization_steps": 25, "probabilities": [1.6414427502403502e-05, 0.9999303742828826], "optimization_time": 17.446805953979492} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "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];
ry(-1.5681) q[0];
ry(-1.4449) q[3];
ry(1.4449) q[4];
ry(1.4449) q[1];
ry(1.4417) q[5];
ry(1.4417) q[2];
cry(-0.1259) q[5], q[3];
cry(0.1217) q[1], q[2];
cry(0.1216) q[2], q[5];
cry(0.1188) q[2], q[4];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
a91613587e2e3ed31c854337981da9dd | 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": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "source": 1, ... | {"states": [1, 5], "expectation_value": -8.994069887330976, "params": null, "bitstrings": ["11111110", "11111010"], "total_optimization_steps": 21, "probabilities": [0.49801329686780876, 0.49901874048113365], "optimization_time": 19.410682916641235} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -1.75 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -1.25 * (Z(5) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(7) + -1.25 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) + -... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["11111110", "11111010"]} | 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[4];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(-1.5708) q[6];
ry(1.4449) q[7];
cry(-1.5481) q[7], q[0];
ry(-1.444) q[1];
cry(-0.1195) q[7], q[1];
cry(0.0839) q[5], q[7];
ry(-0.0245) q[0]... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
96126a834b9a46342d4b7e17e250e937 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [3217, 3209], "expectation_value": -144.32188846177422, "params": [[-0.1257, 1.0246, -0.0344, 0.0543, 0.6345000000000001, -0.0932, 0.0016, 0.4334, -0.5532, -0.0016, 0.0046, 0.9824], [0.1567, 1.0507, 0.031900000000000005, -0.0178, 0.6355000000000001, -0.081, -0.0125, 0.4096, -0.43460000000000004, -0.003900000... | 8.5 * (Z(1) @ Z(2)) + 8.5 * (Z(0) @ Z(2)) + 8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(5) @ Z(4)) + 8.5 * (Z(7) @ Z(0)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(11) @ Z(4)) + 8.5 * (Z(11) @ Z(5)) + 8.5 * (Z(11) @ Z(10)) + 4.0 * Z(2) + 14.0 * Z(1) + 14.5 * Z(0) + 18.5 * Z(4) + -3.5 * Z(3) + 0.5 ... | 10 | 12 | 4 | {"smallest_eigenvalues": [-151.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -136.5, "smallest_bitstrings": ["001101110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.1257) q[0];
ry(1.0246) q[1];
ry(-0.0344) q[2];
ry(0.0543) q[3];
ry(0.6345) q[4];
ry(-0.0932) q[5];
ry(0.0016) q[6];
ry(0.4334) q[7];
ry(-0.5532) q[8];
ry(-0.0016) q[9];
ry(0.0046) q[10];
ry(0.9824) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
dc72488dd6090670edbeccc77e6da35f | 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": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 6, "so... | {"states": [16, 1], "expectation_value": -4.203989617693013, "params": null, "bitstrings": ["01111", "11110"], "total_optimization_steps": 12, "probabilities": [0.12843648895208365, 0.8520018438428943], "optimization_time": 4.8176751136779785} | -0.25 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(4) + 0.25 * Z(2) + 0.75 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["11110"]} | 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(-1.5706) q[1];
ry(-1.5486) q[3];
ry(-1.5681) q[2];
cry(-1.4449) q[4], q[0];
ry(1.218) q[4];
ry(-0.7109) q[0];
cry(-0.0222) q[4], q[3];
cry(-0.0142) q[0], q[3];
cry(-0.0002) q[4], q[1];
cry(-0.0027) q[4], q[2];
c[0] = ... | 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(-1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
87ec01bbf16fcf68c8ab4d8297ddb92e | 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": [630, 614], "expectation_value": -106.55774997501229, "params": [[[0.9890000000000001, -0.0126], [0.6925, -0.0148], [-0.0396, 0.0025], [-0.0983, -0.025900000000000003], [0.45830000000000004, 0.2516], [0.31270000000000003, 0.3715], [0.6091, 0.2836], [0.0207, 0.1643], [-0.0935, 0.9368000000000001], [0.47290000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(5) @ 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(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(2)) + 6.5 * (Z(9) @ Z(5)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 6.5 * (Z(10) @ Z(1)) + 6.5 * (Z(10) @ Z(8)) + 7.5 * Z(2)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-124.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["10110011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.989) q[0];
ry(0.6925) q[1];
ry(-0.0396) q[2];
ry(-0.0983) q[3];
ry(0.4583) q[4];
ry(0.3127) q[5];
ry(0.6091) q[6];
ry(0.0207) q[7];
ry(-0.0935) q[8];
ry(0.4729) q[9];
ry(0.8612) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
5721bc29b750ff2e0c5d4fb6d5e7d30b | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [24, 31], "expectation_value": -15.145764763674851, "params": [0.0063, 0.41440000000000005, 0.0058000000000000005, 0.5567, -0.004, 0.8296, -0.0123, 0.7988000000000001, 0.0067, 0.7411, 0.0025, 0.5705, -0.5093, 0.18460000000000001, 0.3224, 0.8449000000000001, -0.5835, -0.0414, 0.7166, 0.7875000000000001, -0.91... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) | 6 | 8 | 4 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0063) q[0];
rz(0.4144) q[0];
rx(-0.004) q[1];
rz(0.8296) q[1];
rx(0.0067) q[2];
rz(0.7411) q[2];
rx(-0.5093) q[3];
rz(0.1846) q[3];
rx(-0.5835) q[4];
rz(-0.0414) q[4];
rx(-0.9185) q[5];
rz(0.0108) q[5];
rx(-0.9628) q[6];
rz(0.2035) q[6];
rx(-0.8523) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [1, 31], "expectation_value": -1.21374200771516, "params": [[-0.053200000000000004, -0.061500000000000006, -0.0545], [0.0656, 0.0727, 0.0709]], "bitstrings": ["1111110", "1100000"], "total_optimization_steps": 10, "probabilities": [0.015967194663015726, 0.016587964673647235], "optimization_time": 3.856424331... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0798) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0532) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(0.0798) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(0.0798) q[2];
cx q[3], q[2];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9e7016c164f10697b0206c1127149a76 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1, 3], "expectation_value": -11.766690609011828, "params": [[[0.15560000000000002, 0.2364], [0.1573, 0.2295], [0.1519, 0.2296], [0.1487, 0.2316], [0.5924, -0.0008], [0.5914, -0.0005]], [[0.1585, 0.2364], [0.1521, 0.2295], [0.1494, 0.2295], [0.14780000000000001, 0.2316], [0.5858, -0.0008], [0.5943, -0.0005]]... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.25 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1556) q[0];
rz(0.2364) q[0];
rx(0.1573) q[1];
rz(0.2295) q[1];
rx(0.1519) q[2];
rz(0.2296) q[2];
rx(0.1487) q[3];
rz(0.2316) q[3];
rx(0.5924) q[4];
rz(-0.0008) q[4];
rx(0.5914) q[5];
rz(-0.0005) q[5];
rx(0.1585) q[0];
rz(0.2364) q[0];
rx(0.1521) 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": 4} | {"circuits": [], "gradients": []} |
16a3f0e7912c5ed5cfa032c0d85156ec | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [103, 127], "expectation_value": -1.9998617083397452, "params": [[0.0028, -0.0029000000000000002, 0.0011, -0.8359000000000001, -0.8414, 0.0044, 0.003, 0.0028], [-0.0031000000000000003, 0.0049, 0.0027, 0.7743, 0.7762, -0.0027, 0.0016, 0.0023], [0.8998, -0.0049, 0.7693, -0.0006000000000000001, 0.00960000000000... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 9 | 8 | 4 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "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];
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];
rx(0.0028) q[0];
rx(-0.0029) q[1];
rx(0.0011) q[2];
rx(-0.8359) q[3];
rx(-0.8414) q[4];
rx(... | OPENQASM 3.0;
include "stdgates.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": []} |
62d59a2c57c5a5e03bc57aa993d43fe2 | 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": 15, "source": 0, "target": 3}, {"weight": 15, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target": 3}, {"... | {"states": [115, 109], "expectation_value": -26.210446011763544, "params": null, "bitstrings": ["10001100", "10010010"], "total_optimization_steps": 100, "probabilities": [0.05170992486323557, 0.25272770625815333], "optimization_time": 153.25845170021057} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 1.5 * Z(0) + 15.5 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-69.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "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(34.778) q[5];
ry(16.89) q[2];
ry(7.4007) q[1];
cry(-9.3515) q[1], q[5];
cry(4.1324) q[4], q[5];
ry(10.2167) q[3];
ry(3.4375) q[7];
ry(-1.6347) q[6];
cry(-56.9651) q[1], q[7];
cry(0.4107) q[4], ... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[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[... |
2d66a63516707ef6fa08689003d445e4 | 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": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.3649685642892381, "params": [[-0.0707, -0.0422], [0.08120000000000001, 0.0713]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.02220838229317449, 0.02320988554326247], "optimization_time": 2.053893566131592} | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.75 * Z(1) + 0.25 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "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];
cx q[4], q[0];
rz(0.0353) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0707) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.1061) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(0.1414) q[3];
cx q[4], q[3];
cx q[1], q[3];
rz(0.0707... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"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": 6.839934587478638} | -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 | 2 | {"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... |
f6494d29a2885917ea72724ca31dc87e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -17.80476332131387, "params": [0.0033, 0.0089, 0.0027, 0.0021000000000000003, 0.0026000000000000003, 0.0019, -0.0024000000000000002, 0.0001, 0.0023, 0.006200000000000001, 0.0027, 0.001, -0.0027, 0.009000000000000001, 0.0026000000000000003, 0.0047, 1.6074000000000002, 0.0051, 0.00... | -0.75 * (Z(0) @ Z(6)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + 1.5 * (Z(8) @ Z(0)) + -0.75 * (Z(1) @ Z(6)) + -1.0 * (Z(1) @ Z(7)) + -0.75 * (Z(5) @ Z(6)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0033) q[0];
rz(0.0089) q[0];
rx(0.0027) q[1];
rz(0.0021) q[1];
rx(0.0026) q[2];
rz(0.0019) q[2];
rx(-0.0024) q[3];
rz(0.0001) q[3];
rx(0.0023) q[4];
rz(0.0062) q[4];
rx(0.0027) q[5];
rz(0.001) q[5];
rx(-0.0027) q[6];
rz(0.009) q[6];
rx(0.0026) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
d32bae70887cbda0fd64e6ae105154d4 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 18, "source": 1, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [221, 220], "expectation_value": -5.654206299363349, "params": [[0.0379], [-0.0323]], "bitstrings": ["100100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.00267115005576037, 0.002899813819003753], "optimization_time": 2.068258047103882} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "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];
cx q[1], q[0];
rz(0.3411) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3411) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(0.3411) q[3];
cx q[2], q[3];
cx q[2], q[4];
rz(0.3411) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
-4095784395195363612 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 10], [1, 3, 5, 6], [0, 3, 5, 6, 7, 8, 11], [1, 3, 5, 8, 9, 10, 11], [11, 4, 6], [2, 3, 4, 7, 11], [1, 4, 5, 6, 8], [8, 11, 4], [2, 4, 5, 6, 10], [1, 3, 4, 8, 10], [0, 1, 7, 8, 9], [1, 10, 4, 6], [1, 3, 4, 6, 9]]} | {"states": [1663, 1851], "expectation_value": -1.6902509657106777, "params": [[0.3482], [-0.33790000000000003]], "bitstrings": ["100110000000", "100011000100"], "total_optimization_steps": 40, "probabilities": [0.001108820210847447, 0.001129916155473723], "optimization_time": 472.1752259731293} | 0.5 * (Z(0) @ Z(10)) + 0.15714285714285714 * (Z(1) @ Z(10)) + 0.05 * (Z(1) @ Z(0)) + 0.07380952380952381 * (Z(3) @ Z(10)) + 0.023809523809523808 * (Z(3) @ Z(0)) + 0.20714285714285713 * (Z(3) @ Z(1)) + 0.07380952380952381 * (Z(5) @ Z(10)) + 0.023809523809523808 * (Z(5) @ Z(0)) + 0.15714285714285714 * (Z(5) @ Z(1)) + 0.1... | 14 | 12 | 1 | {"smallest_eigenvalues": [-3.247619047619047], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.2476190476190467, "smallest_bitstrings": ["100011000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[10], q[0];
rz(0.3482) q[0];
cx q[10], q[0];
cx q[10], q[1];
rz(0.1094) q[1];
cx q[10], q[1];
cx q[0], q[1];
rz(0.0348) q[1];
cx q[0], q[1];
cx q[10], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d6991d057b315b177a32f1a4a2aac75c | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [682, 746], "expectation_value": -1.424464912816118, "params": [[[0.2571, 0.48200000000000004], [0.4652, 0.1617], [0.9011, 0.18180000000000002], [0.9094000000000001, 0.2039], [0.9016000000000001, 0.47550000000000003], [0.6029, 0.1988], [0.9027000000000001, 0.3342], [0.2818, 0.335], [0.9027000000000001, 0.828... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 15 | 10 | 2 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1000100101", "0010100101", "0101000101", "1000000111", "0100010101", "1100000101", "0100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2571) q[0];
ry(0.4652) q[1];
ry(0.9011) q[2];
ry(0.9094) q[3];
ry(0.9016) q[4];
ry(0.6029) q[5];
ry(0.9027) q[6];
ry(0.2818) q[7];
ry(0.9027) q[8];
ry(0.5663) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-1452993846732662907 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[9, 1], [0, 3, 4, 5, 9, 11], [8, 1, 3, 5], [2, 6], [8, 9, 10, 11, 12], [6, 7]]} | {"states": [1724, 5820], "expectation_value": -2.029468736027484, "params": [0.8628, 0.7917000000000001, 0.1857, 0.18050000000000002, 1.5415, 1.5349000000000002, 1.5754000000000001, 1.5777, 0.5776, 0.6345000000000001, 1.5848, 1.5812000000000002, 0.0446, 0.0339, 1.5461, 1.5492000000000001, 1.5789, 1.5776000000000001, 1.... | 0.5 * (Z(9) @ Z(1)) + 0.03333333333333333 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.03333333333333333 * (Z(3) @ Z(9)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(9)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.03333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(... | 13 | 13 | 1 | {"smallest_eigenvalues": [-2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15, -2.15], "number_of_smallest_eigenvalues": 34, "first_excited_en... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.8628) q[0];
ry(0.1857) q[1];
ry(1.5415) q[2];
ry(1.5754) q[3];
ry(0.5776) q[4];
ry(1.5848) q[5];
ry(0.0446) q[6];
ry(1.5461) q[7];
ry(1.5789) q[8];
ry(1.581) q[9];
ry(1.1392) q[10];
ry(0.5646) q[11];
ry(0.5809) q[12];
crz(-0.5711) q[12], q[0];
crz(0.552... | OPENQASM 3.0;
include "stdgates.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": []} |
db350f4c6cc12fe7a27604bdeac9089b | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 24.248612642288208} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
cry(-1.5681) q[7], q[0];
ry(1.1695) q[7];
ry(-0.5526) q[0];
ry(-1.5653) q[2];
ry(-1.5708) q[3];
ry(-1.5706) q[4];
cry(0.2883) q[6], q[7];
cry(-0.1874) q[6], q[0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
59890c7c8400cd864c3c16e6b4c31d3d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [170, 234], "expectation_value": -68.25801964250785, "params": [[[0.7007, 0.5265000000000001], [0.6966, 0.6629], [0.0524, 0.6517000000000001], [0.6900000000000001, 0.4496], [-0.0823, 0.33240000000000003], [0.6908000000000001, 0.2504], [0.37060000000000004, 0.4117], [-0.10990000000000001, 0.38420000000000004]... | 6.0 * (Z(3) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(3)) + 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(1) @ Z(3)) + 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(5) @ Z(3)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(7) @ Z(5)) + 6.0 * (Z(6) @ Z(7)) + 14.5 * Z(2) + 23.5 * Z(3) + 6.5 * Z(0) + 20.0 * Z(1) + 1... | 15 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -83.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7007) q[0];
ry(0.6966) q[1];
ry(0.0524) q[2];
ry(0.69) q[3];
ry(-0.0823) q[4];
ry(0.6908) q[5];
ry(0.3706) q[6];
ry(-0.1099) q[7];
ry(0.0712) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [2, 6], "expectation_value": -1.0694272367778916, "params": [[[0.1265, -0.2551], [0.5722, -0.0013000000000000002], [0.5743, 0.0007], [0.1274, 0.2617]], [[0.11850000000000001, -0.255], [0.5767, -0.0013000000000000002], [0.5777, 0.0007], [0.12610000000000002, 0.2615]], [[0.1254, 0.0012000000000000001], [0.5748... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.1265) q[0];
rz(-0.2551) q[0];
rx(0.5722) q[1];
rz(-0.0013) q[1];
rx(0.5743) q[2];
rz(0.0007) q[2];
rx(0.1274) q[3];
rz(0.2617) q[3];
rx(0.1185) q[0];
rz(-0.255) q[0];
rx(0.5767) q[1];
rz(-0.0013) q[1];
rx(0.5777) q[2];
rz(0.0007) q[2];
rx(0.1261) q[3];
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": []} |
4b2b5ba04f490b1a55b5e14f626537a5 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [76, 28], "expectation_value": -5.496464084735464, "params": null, "bitstrings": ["0110011", "1100011"], "total_optimization_steps": 27, "probabilities": [0.06634840432148624, 0.9303662506151494], "optimization_time": 24.68268322944641} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(5) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["0110011", "1100011"]} | 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(-1.5708) q[6];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[4], q[2];
cry(-0.3789) q[4], q[0];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
747399984672479367 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 9], [4, 5], [8, 9, 4], [4, 6], [2, 7], [0, 6], [9, 3, 7], [2, 3], [8, 2], [9, 5, 6], [1, 3, 4], [8, 1, 7], [1, 2, 4], [3, 4, 7], [0, 9, 5], [0, 3]]} | {"states": [351, 350], "expectation_value": -4.859193303745367, "params": [-0.0023, -1.0043, 0.0022, 0.0008, -0.5157, -1.7584000000000002, 1.9761000000000002, 0.0016, 0.0028, -2.3317, -0.0028, 0.008400000000000001, 2.4742, -0.0117, 0.6729, 0.0048000000000000004, -0.0034000000000000002, 2.9965, 0.004, 0.0013000000000000... | 0.5 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(9)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(9)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(9)) + 0.5 * (Z(6) ... | 5 | 10 | 1 | {"smallest_eigenvalues": [-5.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.666666666666669, "smallest_bitstrings": ["1010100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0023) q[0];
rz(-1.0043) q[0];
rx(-0.5157) q[1];
rz(-1.7584) q[1];
rx(0.0028) q[2];
rz(-2.3317) q[2];
rx(2.4742) q[3];
rz(-0.0117) q[3];
rx(-0.0034) q[4];
rz(2.9965) q[4];
rx(2.3376) q[5];
rz(0.0217) q[5];
rx(1.8922) q[6];
rz(-0.0711) q[6];
rx(2.3859) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9e3fd441307ea46e321a51e29b173f1a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "source": 3, "target": 1}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [111, 239], "expectation_value": -16.353013781080552, "params": [[[-0.0023, 1.7123000000000002, 0.007500000000000001, 0.0033], [0.0035, 0.4576, 0.0027, 0.0025], [-0.0528, -0.042800000000000005, 0.0035, -0.0366], [0.16440000000000002, 0.7308, 0.0451, 0.002], [-0.1918, 0.08950000000000001, 0.0088, 0.0882], [0.... | 2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + -1.0 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(6)) + -... | 12 | 11 | 4 | {"smallest_eigenvalues": [-17.25, -17.25, -17.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -16.25, "smallest_bitstrings": ["11000000000", "11010010000", "11100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0023) q[0];
rz(1.7123) q[0];
ry(0.0035) q[1];
rz(0.4576) q[1];
ry(-0.0528) q[2];
rz(-0.0428) q[2];
ry(0.1644) q[3];
rz(0.7308) q[3];
ry(-0.1918) q[4];
rz(0.0895) q[4];
ry(0.6197) q[5];
rz(-0.0236) q[5];
ry(0.0026) q[6];
rz(-0.5612) q[6];
ry(0.5592) 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": 5} | {"circuits": [], "gradients": []} |
ab957251534d09507f870c3a6ef42154 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [48, 5], "expectation_value": -0.4019092954663417, "params": [[-0.0683, -0.0775, -0.06770000000000001], [0.0736, 0.08, 0.0767]], "bitstrings": ["001111", "111010"], "total_optimization_steps": 10, "probabilities": [0.023928803716550442, 0.02392880371655045], "optimization_time": 4.849921703338623} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["011110", "111010", "101011", "001111"]} | 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(-0.0341) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0341) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0341) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0341) q[0];
cx q[1], q[0];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
21011d61524ed97410b6a5a4f4f0bdc4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": ... | {"states": [1023, 1022], "expectation_value": -18.620554735936288, "params": [[[-1.2834, 2.1513], [0.0023, 0.9835], [-0.0021000000000000003, -0.0022], [-0.0028, 0.0027], [0.0023, 0.0027], [0.002, 0.0021000000000000003], [0.0019, 0.002], [0.0028, 0.0023], [1.5749, -0.0026000000000000003], [-0.0023, 0.0021000000000000003... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(5)) + 1.0 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(4)) + -2.5 * (Z(8) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5... | 15 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-1.2834) q[0];
ry(0.0023) q[1];
ry(-0.0021) q[2];
ry(-0.0028) q[3];
ry(0.0023) q[4];
ry(0.002) q[5];
ry(0.0019) q[6];
ry(0.0028) q[7];
ry(1.5749) q[8];
ry(-0.0023) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": 10} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -2.4960403101269373, "params": null, "bitstrings": ["111", "101"], "total_optimization_steps": 6, "probabilities": [0.0039596610753226446, 0.9960403245258139], "optimization_time": 1.7814335823059082} | 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];
ry(-1.5681) q[0];
ry(-1.5681) q[2];
ry(1.4449) q[1];
cry(-0.0027) q[1], q[0];
cry(-0.0027) q[1], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[0];\nry(-1.5681)... |
05a2057eb1abf699c2e603e40944153f | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "... | {"states": [4095, 1023], "expectation_value": -23.50110795083359, "params": [[[0.0022, 0.008400000000000001], [1.5721, 0.0064], [0.0019, 0.0099], [0.0022, 0.0036000000000000003], [-0.009600000000000001, 0.0095], [0.0022, 0.0006000000000000001], [0.0029000000000000002, 0.0015], [-0.013800000000000002, 0.0059], [0.002600... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(10)) + -1.0 * Z(1) + -1.... | 2 | 12 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0022) q[0];
rz(0.0084) q[0];
rx(1.5721) q[1];
rz(0.0064) q[1];
rx(0.0019) q[2];
rz(0.0099) q[2];
rx(0.0022) q[3];
rz(0.0036) q[3];
rx(-0.0096) q[4];
rz(0.0095) q[4];
rx(0.0022) q[5];
rz(0.0006) q[5];
rx(0.0029) q[6];
rz(0.0015) q[6];
rx(-0.0138) 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] x2;
input float[64] x3;
input float[6... | {"node": 0} | {"circuits": [], "gradients": []} |
8262661534098668733 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[11, 4], [8, 3], [11, 7], [2, 6], [2, 5], [10, 5], [8, 1], [0, 7], [10, 11], [10, 3], [0, 5], [8, 0], [8, 4], [3, 4], [2, 4], [1, 3], [11, 5], [6, 7], [10, 4], [1, 6], [1, 9], [9, 5], [0, 11], [1, 4], [2, 11], [0, 10], [9, 6], [9, 11], [8, 6], [0, 4], [8,... | {"states": [2424, 376], "expectation_value": -0.13531220658234083, "params": [0.7607, 0.7641, 0.7512000000000001, 0.7522000000000001, 0.7321000000000001, 0.735, 0.8543000000000001, 0.8612000000000001, 0.7096, 0.7101000000000001, 0.8628, 0.8576, 0.8297, 0.8325, 0.8581000000000001, 0.8534, 0.8626, 0.8659, 0.7074, 0.7117,... | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(... | 13 | 12 | 1 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -6.5, "smallest_bitstrings": ["000101111010", "111010000111", "111010000101", "000101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7607) q[0];
ry(0.7512) q[1];
ry(0.7321) q[2];
ry(0.8543) q[3];
ry(0.7096) q[4];
ry(0.8628) q[5];
ry(0.8297) q[6];
ry(0.8581) q[7];
ry(0.8626) q[8];
ry(0.7074) q[9];
ry(0.7289) q[10];
ry(0.7128) q[11];
crz(-0.0279) q[11], q[0];
crz(-0.0498) q[10], q[11];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7066931565421981274 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 6], [0, 3, 6], [3, 4], [4, 6], [1, 3], [8, 7], [0, 8, 6], [1, 7], [3, 7], [6, 7], [1, 2, 5], [3, 5], [8, 0, 2], [0, 2, 7], [0, 1, 5], [2, 4], [8, 5]]} | {"states": [229, 410], "expectation_value": -0.15563743331844213, "params": [[-0.0673], [0.0708]], "bitstrings": ["100011010", "001100101"], "total_optimization_steps": 10, "probabilities": [0.0023146304029356187, 0.0023430986501599025], "optimization_time": 0.9612343311309814} | 0.5 * (Z(1) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(6)) + 0.3333333333333333 * (Z(8) @ Z(0)) + 0.5 * ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.833333333333334, "smallest_bitstrings": ["001100101"]} | 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[1];
rz(-0.0673) q[1];
cx q[6], q[1];
cx q[6], q[0];
rz(-0.0449) q[0];
cx q[6], q[0];
cx q[1], q[0];
rz(-0.0224) q[0];
cx q[1], q[0];
cx q[6], q[3];
rz(-0.0224) q[3];
cx q[6], 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[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[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[6], q[0];
rz(x1) q[0... | null | {"circuits": [], "gradients": []} |
d8c959a00da600e8fbae4f9fb196848f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [26, 22], "expectation_value": -2.574807730242113, "params": [[0.2503, 0.2232], [-0.2656, -0.24830000000000002]], "bitstrings": ["1100101", "1101001"], "total_optimization_steps": 30, "probabilities": [0.04029712372156142, 0.04029712372156144], "optimization_time": 3.1864683628082275} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(4) + 0.0 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011001", "0110101", "1010101", "1100101", "1101001", "0111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.2503) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2503) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2503) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(0.2503) q[6];
cx q[1], q[6];
cx q[0], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
48f4206358d7eb805c06acc3c7b811f0 | 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, 22938], "expectation_value": -0.634636398415549, "params": [[0.6458], [-0.39030000000000004]], "bitstrings": ["1010101001010101", "1010011001100101"], "total_optimization_steps": 70, "probabilities": [0.00014071820571115201, 0.00014071820571115201], "optimization_time": 22.182535886764526} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00025000000000000006 * (Z(4) @ Z(0)) + -0.0008749999999999999 * (Z(4) @ Z(2)) + 0.00025000000000000006 * (Z(5) @ Z(1)) + -0.0008749999999999999 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0182499999999473], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.018249999999935, "smallest_bitstrings": ["1010011001100101"]} | 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(0.3229) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0011) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0011) 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[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]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | 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": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [10, 12], "expectation_value": -2.474107462142595, "params": null, "bitstrings": ["10101", "10011"], "total_optimization_steps": 13, "probabilities": [0.0739790737679243, 0.9005751343260909], "optimization_time": 7.18225884437561} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(4) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["10011", "11010", "01011", "10101"]} | 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(-1.5681) q[0];
ry(-1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[2], q[3];
ry(0.7022) q[2];
ry(-0.4578) q[3];
cry(0.4969) q[1], q[2];
cry(-0.3761) q[1], q[3];
cry(-0.1216) q[1], q[4];
cry(0.1097) q[2], q[1];
cry(-0.07... | 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(-1.5681) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
ffad3b964ead217a06cbfc18be3f05e0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 3}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 1, "tar... | {"states": [397, 236], "expectation_value": -22.32787222988768, "params": [[-0.044500000000000005, 0.0058000000000000005, 0.0027], [0.07930000000000001, 0.0646, 0.0683]], "bitstrings": ["001110010", "100010011"], "total_optimization_steps": 10, "probabilities": [0.009530052991830589, 0.013990271593708473], "optimizatio... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 10.0 * Z(1) + 7.5 * Z(0) + 14.0 * Z(2) + 5.5 * Z(3) + 5.... | 1 | 9 | 3 | {"smallest_eigenvalues": [-70.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.4005) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.4005) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.4005) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.4005) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6d7e5c7b3f86be8f7eca13c50e6c3de8 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"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": [5, 7], "expectation_value": -5.892365340557765, "params": [[[0.2403, -0.23600000000000002], [0.2894, -0.21660000000000001], [0.2969, -0.2147], [0.29650000000000004, -0.2162], [0.6507000000000001, 0.0019], [0.6015, -0.0017000000000000001], [0.6451, -0.001]], [[0.233, 0.23600000000000002], [0.2874, -0.2166000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.2403) q[0];
rz(-0.236) q[0];
rx(0.2894) q[1];
rz(-0.2166) q[1];
rx(0.2969) q[2];
rz(-0.2147) q[2];
rx(0.2965) q[3];
rz(-0.2162) q[3];
rx(0.6507) q[4];
rz(0.0019) q[4];
rx(0.6015) q[5];
rz(-0.0017) q[5];
rx(0.6451) q[6];
rz(-0.001) q[6];
rx(0.233) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [55, 47], "expectation_value": -5.998211351150566, "params": null, "bitstrings": ["11001000", "11010000"], "total_optimization_steps": 43, "probabilities": [0.06462233070086883, 0.9336041138231552], "optimization_time": 56.94254183769226} | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "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];
ry(1.5708) q[7];
ry(1.5681) q[6];
ry(1.4449) q[5];
cry(-1.568) q[6], q[0];
cry(-1.448) q[6], q[1];
cry(1.4402) q[5], q[2];
cry(-1.029) q[4], q[3];
cry(0.706) q[6], q[4];
cry(-0.4587) q[6], q[3];
c... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
ade5112df185088742e72ef2efdfacec | 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": 7}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [176, 180], "expectation_value": -3.5544215092282343, "params": [[[0.2792, -0.2916, 0.0045000000000000005, 0.0045000000000000005], [0.6962, -0.2141, 0.34800000000000003, 0.1749], [0.254, -0.35350000000000004, 0.21030000000000001, -0.5524], [-0.0722, -0.4223, 0.3279, 0.1451], [0.0492, 0.5840000000000001, 0.55... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(3) @ Z(6)) + -1.5 * Z(7) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(2) + -0.5 * Z(4) + -0.5 * Z(3) | 11 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["00001111", "01011001", "01001011", "00100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2792) q[0];
rz(-0.2916) q[0];
ry(0.6962) q[1];
rz(-0.2141) q[1];
ry(0.254) q[2];
rz(-0.3535) q[2];
ry(-0.0722) q[3];
rz(-0.4223) q[3];
ry(0.0492) q[4];
rz(0.584) q[4];
ry(-0.5644) q[5];
rz(0.0038) q[5];
ry(0.0009) q[6];
rz(0.1792) q[6];
ry(0.003) 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": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [35, 3], "expectation_value": -3.2787420393007727, "params": [[0.028300000000000002], [-0.033800000000000004]], "bitstrings": ["1011100", "1111100"], "total_optimization_steps": 10, "probabilities": [0.008669107072523899, 0.008738934568965816], "optimization_time": 2.873798370361328} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.1557) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1557) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1557) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1557) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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)... | {"k": 5} | {"circuits": [], "gradients": []} |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 35], "expectation_value": -0.5889354634675362, "params": [[0.0592, 0.0449, 0.07440000000000001], [-0.0609, -0.025900000000000003, -0.0558]], "bitstrings": ["001011", "011100"], "total_optimization_steps": 10, "probabilities": [0.02193979018574439, 0.021939790185744407], "optimization_time": 3.5664627552... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0592) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.0592) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.0592) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.0592) q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.0592... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
6913e77a092e6b8e92c97148a6d379f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [41, 37], "expectation_value": -3.4965156417765755, "params": null, "bitstrings": ["010110", "011010"], "total_optimization_steps": 20, "probabilities": [0.06700895329611992, 0.9297461640983088], "optimization_time": 13.491851091384888} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["101010", "011010", "010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[1];
ry(1.4449) q[5];
ry(1.4417) q[0];
cry(-1.0398) q[3], q[2];
ry(0.7022) q[3];
ry(-0.4578) q[2];
cry(0.497) q[5], q[3];
cry(-0.3761) q[5], q[2];
cry(0.2474) q[0], q[3];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
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": -15.37278040007417, "params": [[0.0487, 0.0181, 0.0054], [-0.0741, -0.0485, -0.043000000000000003]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.014566506650393609, 0.01738769052848684], "optimization_time": 4.697464227676392} | 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 | 3 | {"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(0.3896) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.3896) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3896) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3896) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [413, 371], "expectation_value": -0.25995555460334113, "params": [[0.030000000000000002, 0.0521], [-0.0196, -0.0383]], "bitstrings": ["001100010", "010001100"], "total_optimization_steps": 10, "probabilities": [0.0022283792446079415, 0.002228379244607942], "optimization_time": 9.423856973648071} | 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)) + 0.5 * (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)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.03) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.03) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.03) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.03) 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} |
7af7d775bcaae53afe2e6cd801577577 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [53, 61], "expectation_value": -4.51330444394829, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 37, "probabilities": [0.32302797343036166, 0.3231981112727231], "optimization_time": 30.518431901931763} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000010", "1000000", "1001010", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[1];
cry(1.5626) q[4], q[2];
cry(1.2309) q[2], q[4];
cry(-1.4868) q[6], q[0];
cry(1.121) q[4], q[6];
cry(-0.505) q[4], q[0];
ry(-1.2139) q[5];
cry(0.2304) q[2], q[6];
cry(-0.183) q[1], q[0];
c... | 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(1.5706) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
-1699339463616822490 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 5, 8, 9, 10, 11], [0, 12, 5], [1, 2, 5, 6, 7, 8, 9, 10], [1, 3, 4, 5, 6, 7, 8, 11], [0, 1, 6, 7, 9], [10, 4], [9, 11, 12, 7], [0, 3], [2, 4], [0, 1, 2, 5, 7, 9, 10, 11], [1, 2, 3, 7, 8, 10, 11], [11, 12, 4, 7]]} | {"states": [5239, 7287], "expectation_value": -2.428220112498379, "params": [1.3925, 1.3971, 0.7871, 0.7893, 1.3973, 1.3936000000000002, 0.37520000000000003, 0.376, 0.3628, 0.3675, 0.7779, 0.7714000000000001, 1.3859000000000001, 1.3841, 1.3861, 1.3919000000000001, 1.3886, 1.3908, 0.7612, 0.7589, 1.3918000000000001, 1.3... | 0.21785714285714283 * (Z(0) @ Z(5)) + 0.06904761904761905 * (Z(8) @ Z(5)) + 0.03333333333333333 * (Z(8) @ Z(0)) + 0.06904761904761905 * (Z(9) @ Z(5)) + 0.10119047619047619 * (Z(9) @ Z(0)) + 0.05119047619047619 * (Z(9) @ Z(8)) + 0.06904761904761905 * (Z(10) @ Z(5)) + 0.05119047619047619 * (Z(10) @ Z(0)) + 0.075 * (Z(10)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.394047619047619], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.3607142857142858, "smallest_bitstrings": ["0001110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.3925) q[0];
ry(0.7871) q[1];
ry(1.3973) q[2];
ry(0.3752) q[3];
ry(0.3628) q[4];
ry(0.7779) q[5];
ry(1.3859) q[6];
ry(1.3861) q[7];
ry(1.3886) q[8];
ry(0.7612) q[9];
ry(1.3918) q[10];
ry(1.3822) q[11];
ry(1.3337) q[12];
crz(0.0002) q[12], q[0];
crz(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target"... | {"states": [28013, 27885], "expectation_value": -9.718031212615971, "params": [[0.0033, -0.0033, -0.27080000000000004, -0.0022, 1.0539, 0.0026000000000000003, 1.9846000000000001, 1.2342, -0.0022, 0.1168, -0.3341, 0.0023, 0.2544, -0.010700000000000001, 1.2786], [3.1424000000000003, 3.1404, 0.2766, 3.1394, 2.0827, 0.0025... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 10 | 15 | 1 | {"smallest_eigenvalues": [-10.249999999999996], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999956, "smallest_bitstrings": ["001001100010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0033) q[0];
ry(-0.0033) q[1];
ry(-0.2708) q[2];
ry(-0.0022) q[3];
ry(1.0539) q[4];
ry(0.0026) q[5];
ry(1.9846) q[6];
ry(1.2342) q[7];
ry(-0.0022) q[8];
ry(0.1168) q[9];
ry(-0.3341) q[10];
ry(0.0023) q[11];
ry(0.2544) q[12];
ry(-0.0107) q[13];
ry(1.2786)... | OPENQASM 3.0;
include "stdgates.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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [30, 158], "expectation_value": -1.9974501035728285, "params": [[[0.6942, 0.0903], [-0.0458, 0.054200000000000005], [0.1085, -0.23420000000000002], [0.09140000000000001, 0.7048], [0.443, 0.6922], [0.3985, 0.6945], [0.5875, 0.5217], [0.4999, -0.1267]], [[0.6956, 0.0015], [0.0887, -0.0644], [0.1445000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(1) @ Z(6)) + 0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(1) @ Z(3) @ Z(6)) ... | 15 | 8 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001100", "01100001", "10001010", "10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.6942) q[0];
ry(-0.0458) q[1];
ry(0.1085) q[2];
ry(0.0914) q[3];
ry(0.443) q[4];
ry(0.3985) q[5];
ry(0.5875) q[6];
ry(0.4999) q[7];
cx q[7], q[0];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(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": []} |
a1c773c0b570f64d3c3d3a505084c546 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 3... | {"states": [32, 33], "expectation_value": -11.999999956492717, "params": null, "bitstrings": ["1011111", "1011110"], "total_optimization_steps": 27, "probabilities": [8.327888960773482e-09, 0.9999999914851723], "optimization_time": 21.510565519332886} | -0.75 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + 1.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(1) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.0 * (Z(5) @ Z(3)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(6) + 2.5 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-12.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[1];
cry(1.5706) q[1], q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(-1.5708) q[3];
ry(-1.5708) q[4];
ry(-1.5708) q[2];
cry(-0.0027) q[1], q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] =... | 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[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", "... |
f0ff383cb95fb627a42b96e86966fc1a | 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": [325, 357], "expectation_value": -156.4297640147525, "params": [[0.0022, 0.153, -0.0151, 0.2422, 0.5251, 0.0022, 0.7868, 0.192, -0.0327, -0.012700000000000001, 0.6301, 0.0142, 0.6308], [0.0022, 0.1542, 0.007200000000000001, 0.2906, 0.5698, 0.0023, 0.5143, -0.0171, -0.0392, -0.0019, 0.6336, 0.008, 0.6366], [0... | 8.5 * (Z(1) @ Z(4)) + 8.5 * (Z(3) @ Z(4)) + 8.5 * (Z(2) @ Z(6)) + 8.5 * (Z(7) @ Z(3)) + 8.5 * (Z(7) @ Z(6)) + 8.5 * (Z(8) @ Z(6)) + 8.5 * (Z(8) @ Z(7)) + 8.5 * (Z(10) @ Z(4)) + 8.5 * (Z(10) @ Z(1)) + 8.5 * (Z(9) @ Z(10)) + 8.5 * (Z(12) @ Z(4)) + 8.5 * (Z(12) @ Z(1)) + 8.5 * (Z(12) @ Z(10)) + 8.5 * (Z(11) @ Z(12)) + 24.... | 10 | 13 | 4 | {"smallest_eigenvalues": [-186.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -162.5, "smallest_bitstrings": ["1111010011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0022) q[0];
ry(0.153) q[1];
ry(-0.0151) q[2];
ry(0.2422) q[3];
ry(0.5251) q[4];
ry(0.0022) q[5];
ry(0.7868) q[6];
ry(0.192) q[7];
ry(-0.0327) q[8];
ry(-0.0127) q[9];
ry(0.6301) q[10];
ry(0.0142) q[11];
ry(0.6308) q[12];
cz q[12], q[11];
cz q[11], q[10];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13, 14, 15]}"} | {"circuits": [], "gradients": []} |
8868655929581791356 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 6], [3, 4], [0, 4], [0, 1], [1, 2], [3, 5]]} | {"states": [44, 39], "expectation_value": -2.6139991512208582, "params": null, "bitstrings": ["1010011", "1011000"], "total_optimization_steps": 46, "probabilities": [0.03474655610167541, 0.7679159816875691], "optimization_time": 46.26449203491211} | 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0100111", "1011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[4], q[0];
ry(1.0293) q[4];
cry(-0.8214) q[1], q[0];
cry(1.1655) q[4], q[1];
cry(-1.3809) q[1], q[2];
ry(-0.3465) q[0];
cry(-0.6534) q[5], q[3];
ry(0.9979) q[6];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
69144809aea48cb46eae9c3950f24a15 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [173, 165], "expectation_value": -0.06142025324314975, "params": [0.2001, -0.0073, 0.196, -0.0063, 0.1847, 0.0044, 0.17980000000000002, -0.0025, 0.20220000000000002, -0.0131, 0.20320000000000002, -0.007500000000000001, 0.17900000000000002, 0.0159, 0.1671, 0.0155, 0.1893, 0.0057, 0.1902, 0.0054, 0.1925, 0.005... | 0.25 * (Z(0) @ Z(1)) + -0.0027777777777777783 * (Z(2) @ Z(0)) + -0.0027777777777777783 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.001388888888888889 * (Z(4) @ Z(0)) + 0.0006944444444444445 * (Z(4) @ Z(2)) + 0.001388888888888889 * (Z(5) @ Z(1)) + 0.0006944444444444445 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00138888... | 6 | 8 | 4 | {"smallest_eigenvalues": [-1.015277777777778], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0152777777777775, "smallest_bitstrings": ["01011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2001) q[0];
rz(-0.0073) q[0];
rx(0.1847) q[1];
rz(0.0044) q[1];
rx(0.2022) q[2];
rz(-0.0131) q[2];
rx(0.179) q[3];
rz(0.0159) q[3];
rx(0.1893) q[4];
rz(0.0057) q[4];
rx(0.1925) q[5];
rz(0.005) q[5];
rx(0.1889) q[6];
rz(0.0037) q[6];
rx(0.2027) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
be624f810cdc6e43c95e4d868d2feba6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 5, "source": ... | {"states": [4095, 2047], "expectation_value": -44.04509978104341, "params": [[[0.0055000000000000005, -0.015000000000000001], [-0.0078000000000000005, 0.0023], [-0.0036000000000000003, -0.0028], [-0.0002, -0.003], [-0.0005, -0.0032], [0.0017000000000000001, -0.0029000000000000002], [0.001, -0.0031000000000000003], [0.0... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(9) @ Z(0)) + -1.5 * (Z(3) @ Z(5)) + 2.0 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(5)) + -1.25 * (Z(1) @ Z(9)) + -0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(10) @ Z(5)) + -1.25 * (Z(10) @ Z(9)) + -1.0 * (Z(10) @ Z(1)) + -1.0 * (Z(10) @ Z(6)) + -1.25 * (Z(4... | 15 | 12 | 2 | {"smallest_eigenvalues": [-44.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -43.75, "smallest_bitstrings": ["100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0055) q[0];
ry(-0.0078) q[1];
ry(-0.0036) q[2];
ry(-0.0002) q[3];
ry(-0.0005) q[4];
ry(0.0017) q[5];
ry(0.001) q[6];
ry(0.0006) q[7];
ry(0.0031) q[8];
ry(-0.0047) q[9];
ry(-0.0029) q[10];
ry(1.6557) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10]... | OPENQASM 3.0;
include "stdgates.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": []} |
7028020551812257116 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 3], [0, 1, 2], [2, 3, 4]]} | {"states": [21, 11], "expectation_value": -0.9177451725933214, "params": [[[2.7985, 0.003], [2.7920000000000003, 0.0027], [2.7998000000000003, 0.0081], [1.4959, 0.0039000000000000003], [2.8027, 0.0034000000000000002]]], "bitstrings": ["01010", "10100"], "total_optimization_steps": 280, "probabilities": [0.4109224819234... | 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666663 * Z(4) + 0.16666666666666674... | 2 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.3333333333333333, "smallest_bitstrings": ["01011", "10100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(2.7985) q[0];
rz(0.003) q[0];
rx(2.792) q[1];
rz(0.0027) q[1];
rx(2.7998) q[2];
rz(0.0081) q[2];
rx(1.4959) q[3];
rz(0.0039) q[3];
rx(2.8027) q[4];
rz(0.0034) q[4];
cx q[4], q[3];
cx q[3], q[2];
cx q[2], q[1];
cx q[1], q[0];
c[0] = measure q[0];
c[1] = meas... | 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... | null | {"circuits": [], "gradients": []} |
a0d529ca36dd3a1366498490d13dd5e2 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [41, 43], "expectation_value": -1.553910416526899, "params": [-0.0019, 0.38720000000000004, 0.4516, 0.009000000000000001, 0.2126, 0.17450000000000002, 0.4998, 0.0637, 0.193, 0.1855, 0.4163, 0.133, 0.5056, 0.056400000000000006, -0.0037, 0.3849, 0.44680000000000003, 0.0189, 0.2116, 0.1703, 0.4975, 0.0791, 0.19... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 *... | 16 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010100", "1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0019) q[0];
rz(0.3872) q[0];
rx(0.4516) q[1];
rz(0.009) q[1];
rx(0.2126) q[2];
rz(0.1745) q[2];
rx(0.4998) q[3];
rz(0.0637) q[3];
rx(0.193) q[4];
rz(0.1855) q[4];
rx(0.4163) q[5];
rz(0.133) q[5];
rx(0.5056) q[6];
rz(0.0564) q[6];
crz(0.0003) q[1], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
567ed6645e82294a2ae938dda85f4008 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 6},... | {"states": [240, 2032], "expectation_value": -0.8978971541887882, "params": [[-0.043500000000000004], [0.0528]], "bitstrings": ["11100001111", "00000001111"], "total_optimization_steps": 10, "probabilities": [0.0006660315199114817, 0.0006838146294061891], "optimization_time": 3.157160520553589} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -2.5 * (Z(7) @ Z(8)) + -2.5 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.5 * (Z(9) @ Z(8)) + 1.0 * (Z(9) @ Z(7)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["00000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(0.1305) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1305) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0435) q[2];
cx q[0], q[2];
cx q[6], q[3];
rz(0.174) 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1... | {"node": 11} | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [5, 58], "expectation_value": -0.35269127576592696, "params": [[-0.0653, -0.0611], [0.07010000000000001, 0.0636]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 10, "probabilities": [0.020462443592695327, 0.021798180002607904], "optimization_time": 2.250552177429199} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0653) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0653) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0653) q[1];
cx q[3], q[1];
cx q[5], q[1];
rz(-0.0653) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
95b1142ae8d79cc944e68dc71d440182 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 5}, {"capacity": 3, "source": 2, "target": 5}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [32, 1], "expectation_value": -2.851529342736096, "params": [[-0.06720000000000001, -0.051500000000000004, -0.040400000000000005, -0.0522], [0.08320000000000001, 0.0756, 0.065, 0.060500000000000005]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.04582240558662844, 0... | -0.75 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(3)) + -2.75 * (Z(4) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 0.25 * Z(3) + -0.25 * Z(0) + 0.25 * Z(5) + -0.25 * Z(2) + -1.25 * Z(1) + 1.25 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111110", "110000", "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];
cx q[3], q[0];
rz(0.1008) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.1344) q[5];
cx q[0], q[5];
cx q[5], q[2];
rz(0.1008) q[2];
cx q[5], q[2];
cx q[3], q[1];
rz(0.1008) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.369... | OPENQASM 3.0;
include "stdgates.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": []} |
ac8f6040a5bb03cdcb904dd06b95ed2a | 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": 3, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 3, "source": 2, "target": 4}, {"capacity": 2, "source": 4, ... | {"states": [128, 9], "expectation_value": -5.90969369308964, "params": [[0.0922, 0.1027, 0.10640000000000001], [-0.224, -0.2237, -0.2008]], "bitstrings": ["01111111", "11110110"], "total_optimization_steps": 30, "probabilities": [0.040414221730212196, 0.043635574946376245], "optimization_time": 4.787967920303345} | -0.75 * (Z(0) @ Z(2)) + 1.0 * (Z(7) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(1)) + -1.25 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * Z(2) + -0.25 * Z(0) + 0.0 * Z(7) + 3.5 * Z(4) + -1.2... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 14, "first_excited_energy": -7.5, "smallest_bitstrings": ["10000000", "11100000", "11010100", "11010000", "11000100", "11000000", "10110000", "10100000", "10010000", "11110000... | 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(-0.1383) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(0.1844) q[7];
cx q[0], q[7];
cx q[2], q[4];
rz(-0.1383) q[4];
cx q[2], q[4];
cx q[7], q[4];
rz(-0.1844) q[4];
cx q[7], 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": []} |
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