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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2216400382807332953 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 2, 3, 5, 6, 7, 8, 9], [1, 2], [0, 4]]} | {"states": [511, 383], "expectation_value": -0.2478828666063641, "params": [0.6431, 0.6452, 0.9917, 0.8579, 0.6306, 0.761, 1.0014, 0.9974000000000001, 0.9900000000000001, 0.9421, 1.0004, 0.9952000000000001, 1.0018, 0.9952000000000001, 1.0026000000000002, 1.0015, 0.9935, 1.0001, 0.9965, 1.0004, 0.5619000000000001, 0.965... | 0.017857142857142856 * (Z(0) @ Z(2)) + 0.017857142857142856 * (Z(3) @ Z(2)) + 0.017857142857142856 * (Z(3) @ Z(0)) + 0.017857142857142856 * (Z(5) @ Z(2)) + 0.017857142857142856 * (Z(5) @ Z(0)) + 0.017857142857142856 * (Z(5) @ Z(3)) + 0.017857142857142856 * (Z(6) @ Z(2)) + 0.017857142857142856 * (Z(6) @ Z(0)) + 0.017857... | 14 | 10 | 1 | {"smallest_eigenvalues": [-1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, -1.1785714285714286, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6431) q[0];
ry(0.9917) q[1];
ry(0.6306) q[2];
ry(1.0014) q[3];
ry(0.99) q[4];
ry(1.0004) q[5];
ry(1.0018) q[6];
ry(1.0026) q[7];
ry(0.9935) q[8];
ry(0.9965) q[9];
crx(0.5619) q[9], q[0];
crx(0.9784) q[8], q[9];
crx(0.555) q[7], q[8];
crx(0.6395) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6646672814995565532 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 4], [1, 3], [3, 4], [3, 5, 6], [2, 3], [0, 2, 6]]} | {"states": [59, 55], "expectation_value": -2.15923956003025, "params": null, "bitstrings": ["1000100", "1001000"], "total_optimization_steps": 43, "probabilities": [0.045173370831258455, 0.8779296618126434], "optimization_time": 55.40245509147644} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.1... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0833333333333335, "smallest_bitstrings": ["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(1.2292) q[6];
cry(-1.0207) q[4], q[3];
ry(0.912) q[4];
cry(-0.7883) q[2], q[3];
ry(1.1753) q[2];
cry(1.2066) q[2], q[1];
cry(-0.4814) q[1], q[3];
cry(0.5404) q[2], q[4];
cry(-1.0224) q[2], q[0];
cry(0.... | 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(1.2292) 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", "... |
5453c2513a3015ff34fdf7af0c17d479 | kclique | adaptive_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": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 82.48994994163513} | 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 ... | 7 | 7 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | 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(-1.4894) q[0];
cry(-1.5708) q[6], q[3];
cry(-1.5704) q[5], q[2];
ry(1.0372) q[6];
cry(-1.5708) q[4], q[1];
ry(1.0556) q[4];
ry(-0.4336) q[1];
ry(0.7789) q[5];
ry(-0.4911) q[3];
ry(-0.3194) q[2];
cry(0.... | null | {"k": 4} | {"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(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
629504279f468411145abc8bbc01a7ac | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target":... | {"states": [63, 31], "expectation_value": -1.0906566643838493, "params": [[-0.0692], [0.0656]], "bitstrings": ["111000000", "111100000"], "total_optimization_steps": 10, "probabilities": [0.0029198934126994746, 0.0029883332687531], "optimization_time": 0.7065582275390625} | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["111100000"]} | 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(0.346) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1384) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.346) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0692) q[3];
cx q[1], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 0} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}]} | {"states": [12, 3], "expectation_value": -1.7417535367918893, "params": [[0.07690000000000001], [-0.0736]], "bitstrings": ["10011", "11100"], "total_optimization_steps": 10, "probabilities": [0.03968517387600571, 0.040406243931674454], "optimization_time": 1.632763385772705} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.5 * Z(1) + -3.0 * Z(0) + -2.5 * Z(2) + -2.25 * Z(3) + -2.25 * Z(4) | 16 | 5 | 1 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.2692) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2692) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2692) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3076) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.2692) q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];... | {"k": 3} | {"circuits": [], "gradients": []} |
3d627635058abf5b6bb9c53f69a1c86d | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 3, "target":... | {"states": [0, 511], "expectation_value": -22.626547605858924, "params": [[[0.0022, 1.607], [0.0016, 0.0022], [0.0017000000000000001, 0.0018000000000000002], [0.0021000000000000003, 0.0016], [0.0025, 0.0022], [0.0016, 0.002], [0.0021000000000000003, 0.0019], [0.0015, 0.0019], [0.0024000000000000002, 0.0023]]], "bitstri... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(4)) + -3.5 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(3)) + -2.0 * (Z(7) @ Z(6)) + -3.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(7)) + -3.5 * (Z(8) @ Z(4)) + 0.... | 15 | 9 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0022) q[0];
ry(0.0016) q[1];
ry(0.0017) q[2];
ry(0.0021) q[3];
ry(0.0025) q[4];
ry(0.0016) q[5];
ry(0.0021) q[6];
ry(0.0015) q[7];
ry(0.0024) 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] 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;
ry(x0) q[0];
ry(x1... | {"node": 6} | {"circuits": [], "gradients": []} |
-2049733962479136978 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 2], [9, 2], [0, 9], [3, 7], [4, 7], [8, 5], [3, 6], [10, 3], [11, 6], [0, 12]]} | {"states": [1931, 2955], "expectation_value": -4.482862812344432, "params": [-0.0023, 1.1307, -0.0022, 0.0002, 0.9860000000000001, -0.0027, 1.6134000000000002, -0.0021000000000000003, 0.861, 0.6015, 0.8619, 0.0016, 1.6095000000000002, -0.07970000000000001, 1.083, -0.098, 1.5754000000000001, -0.0021000000000000003, 1.57... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(10) @ Z(3)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(12) @ Z(0)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(9) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(4) + 0.0 * ... | 8 | 13 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["0100011101101", "1010001110100", "1011100010010", "1011110000010", "0101110001011", "0101100011011", "1010011100100", "0100001111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0023) q[0];
rz(1.1307) q[0];
rx(0.986) q[1];
rz(-0.0027) q[1];
rx(0.861) q[2];
rz(0.6015) q[2];
rx(1.6095) q[3];
rz(-0.0797) q[3];
rx(1.5754) q[4];
rz(-0.0021) q[4];
rx(1.5754) q[5];
rz(-0.0021) q[5];
rx(0.0028) q[6];
rz(1.1837) q[6];
rx(0.0029) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [37, 49], "expectation_value": -2.9965156243239575, "params": null, "bitstrings": ["011010", "001110"], "total_optimization_steps": 20, "probabilities": [0.06700894031405273, 0.9297461660320854], "optimization_time": 14.578934907913208} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[4];
ry(-1.4449) q[2];
ry(1.4449) q[0];
ry(1.4417) q[5];
cry(-1.0398) q[1], q[3];
ry(0.7022) q[1];
ry(-0.4578) q[3];
cry(0.497) q[0], q[1];
cry(-0.3761) q[0], q[3];
cry(0.2474) q[5], q[1];
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(-1.5681) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "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}, {"source": ... | {"states": [0, 1], "expectation_value": -38.1179087879445, "params": [[[-0.0083, -0.2228], [-0.004, -0.2267], [0.0012000000000000001, 0.25120000000000003], [-0.0014, -0.18680000000000002], [-0.0014, 0.2559], [0.40990000000000004, -0.0008]], [[-0.0055000000000000005, -0.22840000000000002], [-0.0051, -0.2258], [-0.003400... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 6 | 4 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0083) q[0];
rz(-0.2228) q[0];
rx(-0.004) q[1];
rz(-0.2267) q[1];
rx(0.0012) q[2];
rz(0.2512) q[2];
rx(-0.0014) q[3];
rz(-0.1868) q[3];
rx(-0.0014) q[4];
rz(0.2559) q[4];
rx(0.4099) q[5];
rz(-0.0008) q[5];
rx(-0.0055) q[0];
rz(-0.2284) q[0];
rx(-0.0051) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
ba18230f0a2665f8e2b66e24ba5d7b4e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 4}, {"we... | {"states": [5482, 9578], "expectation_value": -0.2283160125092329, "params": [[-0.29000000000000004], [0.2816]], "bitstrings": ["10101010010101", "01101010010101"], "total_optimization_steps": 30, "probabilities": [0.00014495188587623566, 0.00014495188587623566], "optimization_time": 21.281343460083008} | 0.25 * (Z(0) @ Z(1)) + -0.00026041666666666666 * (Z(2) @ Z(0)) + -0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00026041666666666666 * (Z(4) @ Z(0)) + -0.0006510416666666666 * (Z(4) @ Z(2)) + -0.00026041666666666666 * (Z(5) @ Z(1)) + -0.0006510416666666666 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -... | 1 | 14 | 1 | {"smallest_eigenvalues": [-1.7648437499999916], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.7648437499999912, "smallest_bitstrings": ["01101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] 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];
cx q[1], q[0];
rz(-0.145) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0002) q[3];
cx q[1], q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[14] c;
qubit[14] 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];
cx q[1], q[0];
rz(x0) ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-1477246944376182267 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 2, 5, 9, 12], [1, 4, 5, 9, 11], [3, 6], [0, 3, 4, 7], [12, 6], [2, 11, 6], [2, 11, 5], [8, 0, 4, 5], [10, 12], [8, 12], [0, 11, 3, 4], [9, 2, 6], [8, 6], [0, 9, 7], [0, 4, 5, 7, 11], [3, 4, 5, 7], [11, 4, 6], [1, 10, 4, 6], [0, 2, 3, 5, 7], [11, 1... | {"states": [8033, 1982], "expectation_value": -4.443373615653838, "params": [[0.2758], [-0.2792]], "bitstrings": ["0000010011110", "1100001000001"], "total_optimization_steps": 30, "probabilities": [0.0010915495392653117, 0.001259210647604087], "optimization_time": 56.45123267173767} | 0.23333333333333334 * (Z(0) @ Z(2)) + 0.31666666666666665 * (Z(5) @ Z(2)) + 0.2833333333333333 * (Z(5) @ Z(0)) + 0.3 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(9) @ Z(0)) + 0.1 * (Z(9) @ Z(5)) + 0.18333333333333335 * (Z(12) @ Z(2)) + 0.1 * (Z(12) @ Z(0)) + 0.35 * (Z(12) @ Z(5)) + 0.05 * (Z(12) @ Z(9)) + 0.1333333333333... | 1 | 13 | 1 | {"smallest_eigenvalues": [-8.133333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.800000000000001, "smallest_bitstrings": ["1100001000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
cx q[2], q[0];
rz(0.1287) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(0.1747) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.1563) q[5];
cx q[0], q[5];
cx q[2], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
24e9c86cfdb3e8240ca21f54feb2ae3f | 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": 16, "source": 0, "target": 5}, {"weight": 12, "source": 1, "tar... | {"states": [249, 244], "expectation_value": -18.607733444497434, "params": [[0.042100000000000005, 0.0078000000000000005], [-0.0795, -0.0511]], "bitstrings": ["100000110", "100001011"], "total_optimization_steps": 10, "probabilities": [0.006320028187036902, 0.00835113375429762], "optimization_time": 3.629237413406372} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "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(0.3789) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3789) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3789) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.3789) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [63, 9], "expectation_value": -0.40135414227080485, "params": [[0.0439, 0.031100000000000003, 0.0307, -0.0543], [-0.0473, -0.0339, -0.040600000000000004, -0.005]], "bitstrings": ["1000000", "1110110"], "total_optimization_steps": 10, "probabilities": [0.009621678138821406, 0.009722043149729903], "optimizatio... | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(-0.0878) q[0];
cx q[5], q[0];
cx q[5], q[6];
rz(-0.0878) q[6];
cx q[5], q[6];
cx q[0], q[6];
rz(0.1098) q[6];
cx q[0], q[6];
cx q[6], q[3];
rz(-0.022) q[3];
cx q[6], q[3];
cx q[5], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.999034517279257, "params": null, "bitstrings": ["111", "001"], "total_optimization_steps": 10, "probabilities": [0.24898403254091542, 0.7500163616612541], "optimization_time": 2.5593764781951904} | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 5 | 3 | 1 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[2];
cry(-0.1101) q[1], q[2];
ry(0.0163) q[0];
ry(0.0085) q[1];
cry(-0.0138) q[0], q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(1.5486) q[1], 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];\ncry(1.5486) q[1], q[0];\... |
d7c6790c5da24a95b7d7ccc603696be1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [3819, 3811], "expectation_value": -2.2840031424478413, "params": [[[1.0006000000000002, 0.0033], [1.0063, 0.0011], [1.0015, 0.002], [0.0024000000000000002, 0.7316], [1.0011, 0.001], [1.0001, -0.0033], [1.0018, 0.0024000000000000002], [0.5456, -0.23720000000000002], [0.7511, 0.1275], [-0.0016, 0.0142], [1.00... | 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)) + 0.0625 * (... | 1 | 12 | 2 | {"smallest_eigenvalues": [-5.1875], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.1875, "smallest_bitstrings": ["000100011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0006) q[0];
rz(0.0033) q[0];
rx(1.0063) q[1];
rz(0.0011) q[1];
rx(1.0015) q[2];
rz(0.002) q[2];
rx(0.0024) q[3];
rz(0.7316) q[3];
rx(1.0011) q[4];
rz(0.001) q[4];
rx(1.0001) q[5];
rz(-0.0033) q[5];
rx(1.0018) q[6];
rz(0.0024) q[6];
rx(0.5456) 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": []} |
3683575ebfd194c5b56fac2355f5aada | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"s... | {"states": [8191, 8127], "expectation_value": -45.01665946484788, "params": [[[0.0028, 3.1602], [0.0019, 0.0025], [0.0019, 0.0019], [0.002, 0.002], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.002], [1.6075000000000002, 0.0021000000000000003], [-0.0027, -0.0022], [0.002, 0.0022], [0.0022, 0.002], [0.002, 0... | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -3.0 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(7) @ Z(8)) + -3.0 * (Z(9) @ Z(8)) + -3.... | 15 | 13 | 1 | {"smallest_eigenvalues": [-45.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.5, "smallest_bitstrings": ["0000001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0028) q[0];
ry(0.0019) q[1];
ry(0.0019) q[2];
ry(0.002) q[3];
ry(0.0021) q[4];
ry(0.0021) q[5];
ry(1.6075) q[6];
ry(-0.0027) q[7];
ry(0.002) q[8];
ry(0.0022) q[9];
ry(0.002) q[10];
ry(0.002) q[11];
ry(0.0028) q[12];
cx q[12], q[0];
cx q[11], q[12];
cx q... | 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[13] c;
qubit[13] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x1) q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
c5d64ed1606b01b0449fbdbfaa48958e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [26, 50], "expectation_value": -4.4963979689815075, "params": null, "bitstrings": ["1100101", "1001101"], "total_optimization_steps": 29, "probabilities": [0.06635229782607112, 0.9303266216078082], "optimization_time": 22.377490758895874} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + -0.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(3) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100101", "1001101", "0111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[4];
ry(-1.5681) q[6];
ry(-1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[5];
cry(-1.0343) q[1], q[3];
ry(0.7003) q[1];
cry(-0.1259) q[5], q[0];
ry(-0.4549) q[3];
cry(0.4962) q[5], q[1];
cry(-0.... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
bb51b85a8f0cca1e878093cb2d4e9f25 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 7, "source": 1, "target": 2}, {"weight": 43, "source": 1, "target": 3}, {"weight": 42, "source": 1, "target": 4}, {"weight": 5... | {"states": [47084, 47085], "expectation_value": -14.83535586330638, "params": [0.3755, 0.022600000000000002, 0.36150000000000004, 0.0161, 0.4053, -0.0567, 0.52, -0.019100000000000002, 0.3846, -0.0426, 0.3886, -0.019100000000000002, 0.5347000000000001, -0.022600000000000002, 0.5017, 0.0025, 0.5382, -0.0189, 0.5508000000... | 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(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) ... | 6 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.3755) q[0];
rz(0.0226) q[0];
rx(0.4053) q[1];
rz(-0.0567) q[1];
rx(0.3846) q[2];
rz(-0.0426) q[2];
rx(0.5347) q[3];
rz(-0.0226) q[3];
rx(0.5382) q[4];
rz(-0.0189) q[4];
rx(0.5871) q[5];
rz(-0.0241) q[5];
rx(0.5775) q[6];
rz(-0.0589) q[6];
rx(0.5603) 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... | {"start_node": 0, "end_node": 5} | {"circuits": [], "gradients": []} |
97690acb82c0402f98f7c130116979d7 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [938, 426], "expectation_value": -85.14088917188394, "params": [[[0.5925, 0.4263], [0.5567, 0.5124000000000001], [0.6011000000000001, 0.43520000000000003], [0.0263, 0.38480000000000003], [0.5955, 0.4539], [0.32170000000000004, 0.5105000000000001], [0.5879, 0.5223], [0.0673, 0.5958], [0.1759, 0.399], [0.38530... | 6.0 * (Z(1) @ Z(2)) + 6.0 * (Z(0) @ Z(2)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(4) @ Z(6)) + 6.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(5) @ Z(6)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(8) @ Z(2)) + 6.0 * (Z(8) @ Z(6)) + 6.0 * (Z(7) @ Z(8)) + 6.0 * (Z(9) @ Z(2)) + 6.0 * (Z(9) @ Z(6)) + 6.0 * (Z(9) ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-123.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.0, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5925) q[0];
ry(0.5567) q[1];
ry(0.6011) q[2];
ry(0.0263) q[3];
ry(0.5955) q[4];
ry(0.3217) q[5];
ry(0.5879) q[6];
ry(0.0673) q[7];
ry(0.1759) q[8];
ry(0.3853) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}]} | {"states": [6, 7], "expectation_value": -0.300768978195995, "params": [[[1.3926, 0.0061], [1.3856000000000002, 0.0004], [1.3908, 0.009600000000000001], [1.6007, 0.0063], [1.6053000000000002, 0.0058000000000000005], [1.5971000000000002, 0.0047]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 160, "pro... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 1.75 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(3)) + 2.0 * ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.3926) q[0];
rz(0.0061) q[0];
rx(1.3856) q[1];
rz(0.0004) q[1];
rx(1.3908) q[2];
rz(0.0096) q[2];
rx(1.6007) q[3];
rz(0.0063) q[3];
rx(1.6053) q[4];
rz(0.0058) q[4];
rx(1.5971) q[5];
rz(0.0047) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | {"k": 3} | {"circuits": [], "gradients": []} |
2768668254746075286 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [0, 2, 3, 6], [0, 1, 2, 4, 6], [4, 5, 6], [0, 1, 4, 5], [1, 2, 4, 5], [3, 5], [0, 2, 4, 5]]} | {"states": [71, 86], "expectation_value": -0.35753481387158764, "params": [[-0.1605], [0.1734]], "bitstrings": ["0111000", "0101001"], "total_optimization_steps": 20, "probabilities": [0.010517144768456355, 0.010703985746971019], "optimization_time": 2.5808615684509277} | 0.5 * (Z(3) @ Z(4)) + 0.21666666666666667 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.13333333333333333 * (Z(6) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1999999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(-0.1605) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(-0.0696) q[0];
cx q[4], q[0];
cx q[3], q[0];
rz(-0.0267) q[0];
cx q[3], q[0];
cx q[4], q[2];
rz(-0.0696) q[2];
cx q[4], q[2];
cx q[3], 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] 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": []} |
9d0fda9991561362ccfc12e66c38b9f5 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 17.81566834449768} | 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 | 4 | {"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];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[1];
cry(-1.0398) q[4], q[3];
ry(0.7022) q[4];
ry(-0.4578) q[3];
cry(0.497) q[0], q[4];
cry(-0.3761) q[0], q[3];
cry(0.2474) q[1], q[4];
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[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... |
91fd701868951eab612ba86420778b2e | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [202, 170], "expectation_value": -2.226178988836006, "params": [0.8965000000000001, -0.1517, 0.6177, -0.3461, 0.6218, -0.3114, -0.0026000000000000003, -0.6556000000000001, 0.9025000000000001, 0.0028, -0.0021000000000000003, 0.6749, 0.9001, 0.18660000000000002, 0.2019, 0.3682, 0.8964000000000001, -0.209800000... | 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)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(5... | 18 | 8 | 3 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125, -2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.8125, "smallest_bitstrings": ["01010110", "00110101", "01010101", "10010101", "00111100", "01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8965) q[0];
rz(-0.1517) q[0];
rx(0.6177) q[1];
rz(-0.3461) q[1];
rx(0.6218) q[2];
rz(-0.3114) q[2];
rx(-0.0026) q[3];
rz(-0.6556) q[3];
rx(0.9025) q[4];
rz(0.0028) q[4];
rx(-0.0021) q[5];
rz(0.6749) q[5];
rx(0.9001) q[6];
rz(0.1866) q[6];
rx(0.2019) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5d77695e4765aaacbc8344fcd74f02b0 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"sour... | {"states": [0, 207], "expectation_value": -5.745568732419777, "params": [0.0346, -0.0013000000000000002, -0.0022, 0.0017000000000000001, 0.7018, -0.0029000000000000002, 0.7024, 0.0064, 0.7125, 0.0047, 0.7052, 0.0081, 0.2275, -0.0008, 0.0332, 0.0053, 0.6946, -0.0017000000000000001, 0.1434, 0.007500000000000001, 0.7038, ... | 0.5 * (Z(0) @ 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(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + -0.5 * Z(1) ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0346) q[0];
rz(-0.0013) q[0];
rx(0.7018) q[1];
rz(-0.0029) q[1];
rx(0.7125) q[2];
rz(0.0047) q[2];
rx(0.2275) q[3];
rz(-0.0008) q[3];
rx(0.6946) q[4];
rz(-0.0017) q[4];
rx(0.7038) q[5];
rz(0.005) q[5];
rx(0.7039) q[6];
rz(-0.0028) q[6];
rx(0.7034) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
989671246845749753 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 4, 6, 8, 9, 10], [0, 1, 2, 3, 7, 8, 10], [8, 9, 3, 7], [2, 3, 4, 5, 8, 9], [1, 2, 4, 8, 9], [0, 1, 3, 4, 6, 10], [0, 2, 4, 5, 8, 9, 10], [0, 2, 3, 4, 8, 9, 10], [3, 4, 5, 6, 7, 9, 10], [0, 3, 4, 5], [1, 2, 3, 5, 7, 8], [0, 4, 7, 8, 9, 10], [9, 10, 1, 7... | {"states": [1431, 1463], "expectation_value": -3.0840909771887186, "params": [[[2.6260000000000003, 0.0046], [1.5642, 0.0044], [2.5691, 0.0043], [2.6302000000000003, 0.0051], [1.5377, 0.0066], [1.576, 0.0085], [1.6084, 0.0018000000000000002], [1.53, 0.0001], [2.6216, 0.0013000000000000002], [2.6324, 0.0092], [2.6336, 0... | 0.18095238095238092 * (Z(0) @ Z(1)) + 0.20714285714285713 * (Z(4) @ Z(1)) + 0.38809523809523805 * (Z(4) @ Z(0)) + 0.16428571428571426 * (Z(6) @ Z(1)) + 0.09047619047619047 * (Z(6) @ Z(0)) + 0.1476190476190476 * (Z(6) @ Z(4)) + 0.25476190476190474 * (Z(8) @ Z(1)) + 0.17857142857142855 * (Z(8) @ Z(0)) + 0.238095238095238... | 1 | 11 | 1 | {"smallest_eigenvalues": [-4.2642857142857125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.2333333333333325, "smallest_bitstrings": ["01001001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.626) q[0];
rz(0.0046) q[0];
rx(1.5642) q[1];
rz(0.0044) q[1];
rx(2.5691) q[2];
rz(0.0043) q[2];
rx(2.6302) q[3];
rz(0.0051) q[3];
rx(1.5377) q[4];
rz(0.0066) q[4];
rx(1.576) q[5];
rz(0.0085) q[5];
rx(1.6084) q[6];
rz(0.0018) q[6];
rx(1.53) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
605742faa50c2e92c07356e058fd303f | 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": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [36, 20], "expectation_value": -3.4116331538123674, "params": null, "bitstrings": ["011011", "101011"], "total_optimization_steps": 17, "probabilities": [0.06012628465746276, 0.7888204776973939], "optimization_time": 11.960115909576416} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.5681) q[2];
cry(-1.0343) q[3], q[5];
cry(-1.0343) q[1], q[0];
ry(0.7003) q[1];
ry(0.7003) q[3];
ry(-0.4549) q[0];
ry(-0.4549) q[5];
cry(0.4578) q[3], q[1];
cry(0.4515) q[1], q[3];
cry(-0.3... | 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... |
c0497b20d0e680cacc77174a13e8b8b4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 17, "source": 0, "target": 2}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 118], "expectation_value": -59.675878547169724, "params": [1.4831, 0.006200000000000001, 2.8953, 0.0067, 2.8966000000000003, 0.0078000000000000005, 2.9075, 0.0066, 1.5107000000000002, 0.006200000000000001, 2.9017, 0.0097, 2.9050000000000002, 0.0051, 0.4776, 0.0045000000000000005, 0.0002, 0.0044, 0.0098... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 20.5 * Z(1) + 7.0 * Z(0) + 12.5 * ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-72.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4831) q[0];
rz(0.0062) q[0];
rx(2.8953) q[1];
rz(0.0067) q[1];
rx(2.8966) q[2];
rz(0.0078) q[2];
rx(2.9075) q[3];
rz(0.0066) q[3];
rx(1.5107) q[4];
rz(0.0062) q[4];
rx(2.9017) q[5];
rz(0.0097) q[5];
rx(2.905) q[6];
rz(0.0051) q[6];
rx(0.4776) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
50803b752054f0512687e537ee7368f9 | 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": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": 2, "target": 3}]} | {"states": [11, 52], "expectation_value": -0.07620706631736293, "params": [[0.0443, 0.047900000000000005], [-0.039900000000000005, -0.041]], "bitstrings": ["110100", "001011"], "total_optimization_steps": 10, "probabilities": [0.01737716971636008, 0.01737716971636008], "optimization_time": 2.0721445083618164} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(5) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["001011", "101010", "111000", "110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(0.0443) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(0.0443) q[4];
cx q[0], q[4];
cx q[4], q[1];
rz(0.0443) q[1];
cx q[4], q[1];
cx q[1], q[2];
rz(0.0443) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(0.0443... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[0], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} |
a5d801628220de1570375cba0475a21a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [28, 92], "expectation_value": -5.253593040121975, "params": [0.0013000000000000002, -0.4136, 0.14, 0.16340000000000002, 0.8099000000000001, -0.0038, 0.0529, -0.34850000000000003, 0.7412000000000001, -0.0032, 0.8078000000000001, -0.0108, 0.8027000000000001, -0.015300000000000001, 0.3935, -0.1375, 0.4319, 0.1... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["110100011", "110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0013) q[0];
rz(-0.4136) q[0];
rx(0.14) q[1];
rz(0.1634) q[1];
rx(0.8099) q[2];
rz(-0.0038) q[2];
rx(0.0529) q[3];
rz(-0.3485) q[3];
rx(0.7412) q[4];
rz(-0.0032) q[4];
rx(0.8078) q[5];
rz(-0.0108) q[5];
rx(0.8027) q[6];
rz(-0.0153) q[6];
rx(0.3935) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
47be2e5609483aa2af8b49e696239f0f | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [0, 4080], "expectation_value": -28.649539510233158, "params": [[[0.0027, 0.002], [0.0026000000000000003, 0.0004], [0.0027, 0.0008], [0.0023, 0.0031000000000000003], [0.002, 0.009600000000000001], [0.0021000000000000003, 0.0004], [0.0027, 0.0051], [1.6083, 0.0068000000000000005], [0.0028, 0.00130000000000000... | -2.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + -3.0 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + -3.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + -2.0 ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-32.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["000000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0027) q[0];
rz(0.002) q[0];
rx(0.0026) q[1];
rz(0.0004) q[1];
rx(0.0027) q[2];
rz(0.0008) q[2];
rx(0.0023) q[3];
rz(0.0031) q[3];
rx(0.002) q[4];
rz(0.0096) q[4];
rx(0.0021) q[5];
rz(0.0004) q[5];
rx(0.0027) q[6];
rz(0.0051) q[6];
rx(1.6083) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"node": 9} | {"circuits": [], "gradients": []} |
dd0fd296e5cefa508578d0a4d77f60d2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [1494, 2006], "expectation_value": -2.7041974879394464, "params": [[[-0.0027, -0.4273, 0.004200000000000001, 0.0048000000000000004], [0.5546, 0.0004, 0.5545, 0.0023], [-0.0741, -0.0027, 0.0012000000000000001, -0.004], [0.6903, -0.0043, 0.6940000000000001, 0.0002], [-0.30460000000000004, -0.0057, 0.0065000000... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625, -3.5625], "number_of_sma... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0027) q[0];
rz(-0.4273) q[0];
ry(0.5546) q[1];
rz(0.0004) q[1];
ry(-0.0741) q[2];
rz(-0.0027) q[2];
ry(0.6903) q[3];
rz(-0.0043) q[3];
ry(-0.3046) q[4];
rz(-0.0057) q[4];
ry(0.651) q[5];
rz(-0.0088) q[5];
ry(-0.0027) q[6];
rz(0.2551) q[6];
ry(0.3703) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
39c299614cdca1aeef06b4d05c46dd6e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [126, 1], "expectation_value": -0.6238753762387724, "params": [[0.055400000000000005, -0.0269, -0.0512], [-0.0599, -0.034800000000000005, 0.0308]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010051188719308837, 0.011298896718412322], "optimization_time": 4.29147... | -1.0 * (Z(0) @ Z(2)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.1108) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0277) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.0277) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0554) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
6913e77a092e6b8e92c97148a6d379f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 54], "expectation_value": -1.5411554613816116, "params": [0.0021000000000000003, 0.5966, 0.8033, 0.0038, 0.8111, 0.005200000000000001, 0.5643, 0.09820000000000001, 0.8033, 0.010700000000000001, 0.7971, 0.006900000000000001, 0.0027, -0.4449, 0.0021000000000000003, 0.0079, 0.801, 0.0035, 0.811700000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(4) @ Z(5)) + 0.... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.625, "smallest_bitstrings": ["1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0021) q[0];
rz(0.5966) q[0];
rx(0.8033) q[1];
rz(0.0038) q[1];
rx(0.8111) q[2];
rz(0.0052) q[2];
rx(0.5643) q[3];
rz(0.0982) q[3];
rx(0.8033) q[4];
rz(0.0107) q[4];
rx(0.7971) q[5];
rz(0.0069) q[5];
rx(0.0027) q[6];
rz(-0.4449) q[6];
crz(0.446) q[6], 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": []} |
24ec85ceb3f94374e977a871ddcf35bc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [28, 60], "expectation_value": -1.2065131145591073, "params": [0.002, -0.5867, 0.8034, 0.0031000000000000003, 0.8042, -0.0036000000000000003, 0.8042, -0.0028, 0.8057000000000001, 0.0907, 0.5614, 0.11460000000000001, 0.2914, -0.2529, 0.002, 0.0025, 0.8022, 0.0097, 0.8062, 0.0066, 0.8032, 0.0023, 0.80280000000... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 18 | 7 | 2 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["1000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.002) q[0];
rz(-0.5867) q[0];
rx(0.8034) q[1];
rz(0.0031) q[1];
rx(0.8042) q[2];
rz(-0.0036) q[2];
rx(0.8042) q[3];
rz(-0.0028) q[3];
rx(0.8057) q[4];
rz(0.0907) q[4];
rx(0.5614) q[5];
rz(0.1146) q[5];
rx(0.2914) q[6];
rz(-0.2529) q[6];
crz(0.2588) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dba6edf645eaaf1a507a17055e7164ef | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [52, 74], "expectation_value": -1.3907094832529114, "params": [[0.060200000000000004, 0.066, 0.075, 0.0719], [-0.0548, -0.054700000000000006, -0.0623, -0.055]], "bitstrings": ["1001011", "0110101"], "total_optimization_steps": 10, "probabilities": [0.01787755091740234, 0.018667717349410633], "optimization_ti... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(4) + -1.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["1001011", "1101001", "0110101"]} | 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(0.0602) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0602) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.0602) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.0602) 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] 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": []} |
5096143430902867398 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2, 6], [3, 4], [8, 2, 3, 5], [1, 5], [0, 2, 6, 7], [1, 4, 6], [2, 4], [0, 4], [4, 5, 6], [8, 0, 3, 6], [1, 3], [2, 3, 7], [0, 3, 5, 6], [0, 2, 5], [8, 7]]} | {"states": [365, 366], "expectation_value": -4.0778400485174044, "params": null, "bitstrings": ["010010010", "010010001"], "total_optimization_steps": 66, "probabilities": [0.11846732870444117, 0.7652770217477239], "optimization_time": 151.04196333885193} | 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(8)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(8)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9166666666666656, "smallest_bitstrings": ["010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5626) q[6];
ry(1.4449) q[2];
cry(-1.4433) q[2], q[4];
ry(1.5142) q[3];
cry(-1.361) q[5], q[1];
cry(-1.2998) q[7], q[8];
ry(1.3535) q[0];
ry(0.6062) q[5];
cry(-0.435) q[3], q[1];
cry(0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5626) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
5bdb4f57734384bf2a68859dd05ed4fb | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [100, 108], "expectation_value": -1.5975029768553617, "params": [0.0055000000000000005, 0.0145, 0.798, 0.004, 0.8093, 0.0032, 0.0027, -0.4525, 0.7939, 0.0019, 0.8108000000000001, 0.0047, 0.6545000000000001, -0.0844, 0.6521, -0.0635, -0.0021000000000000003, 0.005, 0.7949, 0.0078000000000000005, 0.8003, 0.0022... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(6) @ Z(2)) + 0.125 * (Z(7) @ Z(2)) + 0.12... | 16 | 8 | 2 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["11010010", "10010011", "10011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0055) q[0];
rz(0.0145) q[0];
rx(0.798) q[1];
rz(0.004) q[1];
rx(0.8093) q[2];
rz(0.0032) q[2];
rx(0.0027) q[3];
rz(-0.4525) q[3];
rx(0.7939) q[4];
rz(0.0019) q[4];
rx(0.8108) q[5];
rz(0.0047) q[5];
rx(0.6545) q[6];
rz(-0.0844) q[6];
rx(0.6521) 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": []} |
c2371d2920c8beae5a4f19c91b314a5f | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"sour... | {"states": [283, 315], "expectation_value": -4.3254620774724755, "params": [0.5044000000000001, 0.5054000000000001, 0.07490000000000001, 0.0757, 0.07390000000000001, 0.0819, 0.4455, 0.44070000000000004, 0.5033, 0.5077, 0.5005000000000001, 0.49960000000000004, -0.0097, -0.0071, 0.5044000000000001, 0.5078, 0.5036, 0.5087... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(2) + -0.5 * Z(4) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(8) | 14 | 9 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.5044) q[0];
ry(0.0749) q[1];
ry(0.0739) q[2];
ry(0.4455) q[3];
ry(0.5033) q[4];
ry(0.5005) q[5];
ry(-0.0097) q[6];
ry(0.5044) q[7];
ry(0.5036) q[8];
crx(0.4864) q[8], q[0];
crx(0.488) q[7], q[8];
crx(0.1674) q[6], q[7];
crx(-0.0038) q[5], q[6];
crx(0.4801... | OPENQASM 3.0;
include "stdgates.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": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [2, 3], "expectation_value": -11.748567529223443, "params": [0.08750000000000001, 0.253, 0.1165, 0.263, 0.11, 0.23270000000000002, 0.11180000000000001, 0.24020000000000002, 0.4907, 0.124, 0.42650000000000005, 0.13290000000000002, 0.0834, 0.25370000000000004, 0.10940000000000001, 0.2636, 0.1091, 0.24400000000... | 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 ... | 3 | 6 | 4 | {"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(0.0875) q[0];
rz(0.253) q[0];
rx(0.1165) q[1];
rz(0.263) q[1];
rx(0.11) q[2];
rz(0.2327) q[2];
rx(0.1118) q[3];
rz(0.2402) q[3];
rx(0.4907) q[4];
rz(0.124) q[4];
rx(0.4265) q[5];
rz(0.1329) q[5];
crz(0.2158) q[5], q[4];
crz(0.2149) q[4], q[3];
crz(-0.002) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
f4b35897c92c6d263a710eff3f98deac | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target":... | {"states": [889, 633], "expectation_value": -4.558444246516377, "params": [0.9049, 0.9007000000000001, 0.7334, 0.7252000000000001, 0.1816, 0.18510000000000001, 0.8491000000000001, 0.8482000000000001, 0.9056000000000001, 0.9015000000000001, 0.909, 0.9119, 0.9068, 0.904, 0.0012000000000000001, 0.0014, 0.0041, 0.0041, 0.9... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -2.0 * Z(7) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1... | 13 | 10 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["0011000110", "0110000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9049) q[0];
ry(0.7334) q[1];
ry(0.1816) q[2];
ry(0.8491) q[3];
ry(0.9056) q[4];
ry(0.909) q[5];
ry(0.9068) q[6];
ry(0.0012) q[7];
ry(0.0041) q[8];
ry(0.9117) q[9];
crz(0.0013) q[9], q[0];
crz(-0.4888) q[8], q[9];
crz(0.5026) q[7], q[8];
crz(0.0035) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ec7f14adb1b1c692b11deac79fc27623 | 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": 0, "id": 8}, {"bipartite":... | {"states": [423, 167], "expectation_value": -70.88088548272741, "params": [-0.0023, 0.0015, 1.4765000000000001, 0.0013000000000000002, 2.4997000000000003, 0.0085, 1.0885, 0.0036000000000000003, 2.5096000000000003, 0.0048000000000000004, 0.8961, 0.0083, -0.0026000000000000003, 0.0053, 2.4914, 0.0054, 2.5021, 0.005500000... | 7.5 * (Z(2) @ Z(1)) + 7.5 * (Z(5) @ Z(2)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(7) @ Z(1)) + 7.5 * (Z(8) @ Z(4)) + 7.5 * (Z(8) @ Z(3)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(7)) + 9.0 * Z(1) + 8.5 * Z(2) + 2.0 * Z(5) + 17.0 * Z(4) + 3.5 * Z(3) + 15.5 * Z(7) + 16.5 * Z(8) + 7.0 * ... | 18 | 10 | 1 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -91.5, "smallest_bitstrings": ["1101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0023) q[0];
rz(0.0015) q[0];
rx(1.4765) q[1];
rz(0.0013) q[1];
rx(2.4997) q[2];
rz(0.0085) q[2];
rx(1.0885) q[3];
rz(0.0036) q[3];
rx(2.5096) q[4];
rz(0.0048) q[4];
rx(0.8961) q[5];
rz(0.0083) q[5];
rx(-0.0026) q[6];
rz(0.0053) q[6];
rx(2.4914) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
a7b6961c0e010c5cd9220aed7c02d87e | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capaci... | {"states": [10, 11], "expectation_value": -4.999986795282007, "params": null, "bitstrings": ["110101", "110100"], "total_optimization_steps": 20, "probabilities": [1.808493766232e-06, 0.9999959237008993], "optimization_time": 12.096580266952515} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(2) + 0.25 ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[4];
ry(1.5681) q[2];
ry(1.5681) q[5];
cry(-1.5706) q[2], q[0];
ry(-1.445) q[1];
ry(-1.4418) q[3];
cry(-0.1257) q[5], q[1];
cry(-0.1218) q[5], q[3];
cry(0.021) q[2], q[4];
cry(-0.0002) q[5], q[0];
cry... | 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(1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
06224520ded029e940b1fde3f5ab3e3b | 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": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [42, 35], "expectation_value": -0.21864577267404484, "params": [[-0.0256, -0.042300000000000004, -0.06760000000000001], [0.0001, 0.042100000000000005, 0.06420000000000001]], "bitstrings": ["010101", "011100"], "total_optimization_steps": 10, "probabilities": [0.019360772573457214, 0.019360772573457242], "opt... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(2) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["010101", "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[3], q[0];
rz(-0.0256) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(-0.0256) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.0256) q[4];
cx q[1], q[4];
cx q[3], q[2];
rz(-0.0256) q[2];
cx q[3], q[2];
cx q[3], q[5];
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] 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] ... | null | {"circuits": [], "gradients": []} |
906d0b5f20babab9505ce147d5cb0a00 | 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": 3, "source": 0, "target": 4}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -23.792326401324576, "params": [[[0.0033, 0.0095], [0.0053, 0.0028], [0.0029000000000000002, 0.0024000000000000002], [0.0013000000000000002, -0.0029000000000000002], [0.0038, 0.0028], [0.0088, 0.0028], [0.16640000000000002, 0.0023], [0.0024000000000000002, 0.0023], [0.0028,... | -0.75 * (Z(0) @ Z(5)) + -1.5 * (Z(1) @ Z(3)) + -1.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(1)) + -1.25 * (Z(10) @ Z(5)) + -1.75 * (Z(10) @ Z(1)) + -0.5 * (Z(10) @ Z(8)) + -2.75 * (Z(7) @ Z(5)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.5 * (Z(7) @ Z(10)) + -1.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9)... | 15 | 11 | 4 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0033) q[0];
ry(0.0053) q[1];
ry(0.0029) q[2];
ry(0.0013) q[3];
ry(0.0038) q[4];
ry(0.0088) q[5];
ry(0.1664) q[6];
ry(0.0024) q[7];
ry(0.0028) q[8];
ry(-0.013) q[9];
ry(-0.0028) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
-4157298599113952080 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 1, 2, 4], [3, 4]]} | {"states": [21, 30], "expectation_value": -0.28593765023702666, "params": [[0.45270000000000005], [-0.42460000000000003]], "bitstrings": ["01010", "00001"], "total_optimization_steps": 50, "probabilities": [0.05214563766633587, 0.05324409522855633], "optimization_time": 1.5288636684417725} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * Z(1) + 0.125 * Z(0) + 0.125 * Z(2) + 0.125 * Z(4) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-0.75, -0.75, -0.75, -0.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["10010", "00001", "00110", "01010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0755) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0755) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0755) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0755) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0755) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0... | null | {"circuits": [], "gradients": []} |
f4058862d2cc91e963663e2c69858d5f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [100, 37], "expectation_value": -4.996515624145528, "params": null, "bitstrings": ["0011011", "1011010"], "total_optimization_steps": 26, "probabilities": [0.06700894031405219, 0.9297461660320786], "optimization_time": 24.081281900405884} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(2) + -1.0 * Z(0) + -2.0 * Z(5) + -0.5 * Z(6) + -1.0 * Z(1) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1011010", "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];
ry(-1.5708) q[5];
ry(-1.5681) q[3];
ry(-1.4449) q[2];
ry(1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[6], q[0];
ry(0.7022) q[6];
ry(-0.4578) q[0];
cry(0.497) q[4], q[6];
cry(-0.3761) q[4], q[0];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d94808e5cc9b60725b159cb308a4d8c1 | 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": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [21, 29], "expectation_value": -6.808944959273738, "params": null, "bitstrings": ["101010", "100010"], "total_optimization_steps": 26, "probabilities": [0.4264570687841214, 0.4267568391128236], "optimization_time": 21.314091682434082} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + 1.25 * Z(1) + -0.25 * Z(0) + 1.25 * Z(3) + -1.5 * Z(4) + 0.5 * Z(5) + -1.25 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
cry(-1.5706) q[5], q[0];
ry(1.068) q[5];
ry(1.5708) q[3];
cry(1.5707) q[3], q[1];
cry(-0.3714) q[3], q[0];
cry(0.3292) q[1], q[5];
cry(-0.2768) q[1], q[0];
cry(0.1166) q[3], q[5];
ry(-0.0924) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
ebed2b2f1ddd19051c3f8f1e6db408b8 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": []} | {"states": [445, 413], "expectation_value": -3.6135596959645153, "params": [0.6967, 0.08030000000000001, 0.7042, 0.201, 0.3763, 0.26890000000000003, 0.36560000000000004, 0.2735, 0.6872, 0.2348, 0.7051000000000001, 0.023, 0.7018, 0.14600000000000002, 0.39490000000000003, 0.2817, 0.683, 0.0591, 0.6896, 0.0735000000000000... | 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) ... | 18 | 9 | 4 | {"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;
rx(0.6967) q[0];
rz(0.0803) q[0];
rx(0.7042) q[1];
rz(0.201) q[1];
rx(0.3763) q[2];
rz(0.2689) q[2];
rx(0.3656) q[3];
rz(0.2735) q[3];
rx(0.6872) q[4];
rz(0.2348) q[4];
rx(0.7051) q[5];
rz(0.023) q[5];
rx(0.7018) q[6];
rz(0.146) q[6];
rx(0.3949) q[7];
rz(0.281... | 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": []}} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [3, 19], "expectation_value": -3.0269927041041207, "params": [[[0.8013, -0.0019], [-0.0268, -0.0117], [0.8014, 0.20070000000000002], [0.17170000000000002, 0.5869], [-0.0756, 0.20550000000000002], [0.8021, 0.5977], [-0.21880000000000002, 0.5109]], [[0.8094, 0.006200000000000001], [0.0257, 0.002], [0.7983, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + -1.5 * Z(4) + 0.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(3) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111100", "1100110", "0110110", "1101100", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.8013) q[0];
ry(-0.0268) q[1];
ry(0.8014) q[2];
ry(0.1717) q[3];
ry(-0.0756) q[4];
ry(0.8021) q[5];
ry(-0.2188) q[6];
cx q[6], q[0];
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(-0.0019) q[0];
ry(-0.0117) q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0b4befd1b6021b98538c021e6b01d7d2 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, ... | {"states": [22, 30], "expectation_value": -1.6185913590680987, "params": [-0.0002, -0.0007, 0.1791, 0.18150000000000002, 0.1839, 0.1767, 0.19970000000000002, 0.20270000000000002, 0.1981, 0.198, 0.2068, 0.2078, 0.20120000000000002, 0.2033, 0.0021000000000000003, -0.0005, -0.0009000000000000001, 0.0023, 0.1817, 0.1848000... | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(1) @ Z(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(0) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(3) @ Z(7)) + 0.25 * (Z(7) @ Z(5)) + -0.25 * (Z(3) @ Z(7) @ Z(5)) ... | 13 | 8 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100001", "10110001", "11001001", "11000011", "10101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0002) q[0];
ry(0.1791) q[1];
ry(0.1839) q[2];
ry(0.1997) q[3];
ry(0.1981) q[4];
ry(0.2068) q[5];
ry(0.2012) q[6];
ry(0.0021) q[7];
crz(0.1505) q[7], q[0];
crz(0.0022) q[6], q[7];
crz(-0.0004) q[5], q[6];
crz(0.0097) q[4], q[5];
crz(0.0019) q[3], q[4];
cr... | 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] x11;
in... | null | {"circuits": [], "gradients": []} |
8601745197598425109 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [1, 3], [2, 4, 7], [8, 5], [0, 3], [8, 4], [1, 2, 6], [2, 5, 6], [8, 0, 7], [8, 1, 7], [2, 4, 5], [0, 5], [3, 6], [0, 4]]} | {"states": [453, 122], "expectation_value": -0.09815629022859146, "params": [[-0.0592], [0.0629]], "bitstrings": ["000111010", "110000101"], "total_optimization_steps": 10, "probabilities": [0.0021716290782895333, 0.002191829430431239], "optimization_time": 0.8619167804718018} | 0.5 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.166... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.000000000000002, "smallest_bitstrings": ["110000101"]} | 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(-0.0592) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0197) q[1];
cx q[2], q[1];
cx q[0], q[3];
rz(-0.0592) q[3];
cx q[0], q[3];
cx q[1], q[3];
rz(-0.0592) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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(x1) q[1... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 68.96931147575378} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "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];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(1.0343) q[4], q[6];
ry(1.0343) q[5];
cry(-1.3791) q[5], q[3];
cry(0.3667) q[0], q[5];
cry(1.0343) q[8], q[1];
cry(-1.4006) q[1], q[2]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [3, 1], "expectation_value": -1.5921735800078016, "params": [[0.0794], [-0.07690000000000001]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012140090235556818, 0.014358911079717679], "optimization_time": 2.2342333793640137} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.1985) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(-0.3176) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.2382) q[4];
cx q[0], q[4];
cx q[3], q[5];
rz(-0.1985) q[5];
cx q[3], q[5];
cx q[0], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9dfa6e61b93ce499638bf202901aee84 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "target":... | {"states": [0, 3], "expectation_value": -30.315370842698307, "params": [-0.0026000000000000003, 1.7777, -0.0026000000000000003, 0.008, 0.0026000000000000003, 1.7140000000000002, 0.0026000000000000003, 0.2771, 0.0026000000000000003, 1.7655, 0.0026000000000000003, 0.006200000000000001, 0.0027, 1.6921000000000002, 0.0027,... | -3.5 * (Z(0) @ Z(1)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -4.0 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + -3.5 * (Z(6) @ Z(4)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(6)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -3.0 * (Z(3) @ Z(4)) + 1.0 * (Z(3) @ Z(6)) + -2.... | 8 | 9 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.5, "smallest_bitstrings": ["111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0026) q[0];
rz(1.7777) q[0];
rx(0.0026) q[1];
rz(1.714) q[1];
rx(0.0026) q[2];
rz(1.7655) q[2];
rx(0.0027) q[3];
rz(1.6921) q[3];
rx(0.0026) q[4];
rz(1.6519) q[4];
rx(0.0025) q[5];
rz(1.5282) q[5];
rx(0.0026) q[6];
rz(-1.0001) q[6];
rx(0.3905) 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[... | {"node": 6} | {"circuits": [], "gradients": []} |
23ed60bc96758366e843c21e3bc9a3e0 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"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, "ta... | {"states": [11, 7], "expectation_value": -22.98302062012748, "params": null, "bitstrings": ["11110100", "11111000"], "total_optimization_steps": 86, "probabilities": [0.11001358301823233, 0.621413230771058], "optimization_time": 184.7602527141571} | 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)) + 3.... | 10 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.4201) q[6];
cry(-1.5708) q[7], q[3];
ry(0.9573) q[5];
ry(-0.37... | null | {"k": 5} | {"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(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
fc2a0aab6aa71710f421b73642e2514f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [12, 50], "expectation_value": -0.1600794538145629, "params": [[-0.016, -0.0534], [-0.0166, 0.0533]], "bitstrings": ["110011", "001101"], "total_optimization_steps": 10, "probabilities": [0.016934542303487187, 0.017147540388938877], "optimization_time": 2.565614700317383} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + 0.0 * Z(1) + -1.0 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["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];
cx q[2], q[0];
rz(-0.016) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.016) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(-0.016) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.016) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(-0.016... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
71e5bb03712e194188f8d50f4c05cdf8 | 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": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [16, 24], "expectation_value": -3.3503066696725163, "params": [[[0.0024000000000000002, 0.5660000000000001, 0.0071, 0.0067], [0.3025, -0.0089, 0.3099, 0.0079], [0.8056000000000001, 0.0572, 0.006200000000000001, 0.058600000000000006], [0.0022, 0.41150000000000003, 0.003, 0.0081], [0.0046, 0.5787, 0.0009000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(3) + -0.25 * Z(2) + -0.75 * Z(4) + -0.75 * Z(5) | 12 | 6 | 3 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.0024) q[0];
rz(0.566) q[0];
ry(0.3025) q[1];
rz(-0.0089) q[1];
ry(0.8056) q[2];
rz(0.0572) q[2];
ry(0.0022) q[3];
rz(0.4115) q[3];
ry(0.0046) q[4];
rz(0.5787) q[4];
ry(0.0079) q[5];
rz(-0.3226) q[5];
cz q[1], q[0];
cz q[3], q[2];
cz q[5], q[4];
ry(0.3099)... | OPENQASM 3.0;
include "stdgates.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 | vqe | {"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": [2, 3], "expectation_value": -25.3245509139693, "params": [[[0.0517, -0.2758], [0.0111, -0.2843], [0.0533, -0.276], [0.1681, 0.2131], [0.2604, 0.0989], [0.5971000000000001, -0.0004], [0.603, 0.0005]], [[0.0531, -0.2757], [0.0099, 0.28350000000000003], [0.0545, -0.27590000000000003], [0.1706, 0.2136], [0.2611... | 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)) + ... | 1 | 7 | 3 | {"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;
rx(0.0517) q[0];
rz(-0.2758) q[0];
rx(0.0111) q[1];
rz(-0.2843) q[1];
rx(0.0533) q[2];
rz(-0.276) q[2];
rx(0.1681) q[3];
rz(0.2131) q[3];
rx(0.2604) q[4];
rz(0.0989) q[4];
rx(0.5971) q[5];
rz(-0.0004) q[5];
rx(0.603) q[6];
rz(0.0005) q[6];
rx(0.0531) 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": 5} | {"circuits": [], "gradients": []} |
a600d047aa28c30c441e2aa233739b7a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, ... | {"states": [1013, 757], "expectation_value": -1.0377861532384658, "params": [0.4798, 0.2641, 0.601, 0.3166, 0.48460000000000003, -0.0734, 0.6024, -0.042, 0.6011000000000001, -0.0, 0.6058, -0.0024000000000000002, 0.604, -0.0024000000000000002, 0.5041, 0.2513, 0.5986, 0.321, 0.0027, 0.3598, 0.6077, 0.0082, 0.4419, 0.2860... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(2) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(2) @ Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(5) @ Z(0)) + 0.0625 * (Z(7) @ Z(0)) + 0... | 16 | 11 | 3 | {"smallest_eigenvalues": [-4.09375, -4.09375, -4.09375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.09375, "smallest_bitstrings": ["10100000110", "01100001010", "10100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4798) q[0];
rz(0.2641) q[0];
rx(0.601) q[1];
rz(0.3166) q[1];
rx(0.4846) q[2];
rz(-0.0734) q[2];
rx(0.6024) q[3];
rz(-0.042) q[3];
rx(0.6011) q[4];
rz(0) q[4];
rx(0.6058) q[5];
rz(-0.0024) q[5];
rx(0.604) q[6];
rz(-0.0024) q[6];
rx(0.5041) q[7];
rz(0.25... | OPENQASM 3.0;
include "stdgates.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": []} |
a617cd4648156ddc77f993201a7a952c | kclique | 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": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 182.55663585662842} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 11 | 8 | 2 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
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(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.0978) q[5];
cry(-1.5708) q[6], q[3];
ry(0.9474) q[6];
ry(-0.46... | null | {"k": 5} | {"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(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
9ccd9f6529d5a9ac74541f04b00ec686 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [256, 1], "expectation_value": -11.193363063749366, "params": null, "bitstrings": ["011111111", "111111110"], "total_optimization_steps": 24, "probabilities": [0.16205181912501485, 0.8147158739088153], "optimization_time": 30.284602642059326} | -0.75 * (Z(0) @ Z(5)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(6)) + -0.75 * (Z(1) @ Z(7)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[3];
cry(-1.5681) q[8], q[0];
ry(1.111) q[8];
ry(-0.4823) q[0];
ry(-1.4449) q[4];
ry(-1.5527) q[5];
ry(-1.5706) q[1];
ry(-1.5703) q[7];
ry(-1.5708) q[6];
ry(-1.5708) q[2];
cry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
e8dd55008e3933710b03cfbc8470c4e8 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": ... | {"states": [0, 960], "expectation_value": -0.5638499803862872, "params": [[-0.031100000000000003], [0.0234]], "bitstrings": ["1111111111", "0000111111"], "total_optimization_steps": 10, "probabilities": [0.0011046205513157922, 0.0011173125481486806], "optimization_time": 3.557236433029175} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -3.0 * (Z(4) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -3.5 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(4)) + 1.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + -2.5 * (Z(9) @ Z(4)) + -2.5 * (Z(9) @ Z(7)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-27.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["0000111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.0933) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1244) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0311) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0311) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 8} | {"circuits": [], "gradients": []} |
-5064463662352024584 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5], [1, 3, 5], [1, 6], [0, 2, 6], [2, 4]]} | {"states": [83, 114], "expectation_value": -2.008370608869138, "params": null, "bitstrings": ["0101100", "0001101"], "total_optimization_steps": 47, "probabilities": [0.03892126823610015, 0.8193711462025242], "optimization_time": 42.11133337020874} | 0.5 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666663 * Z(5)... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.1666666666666665, -2.1666666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.833333333333334, "smallest_bitstrings": ["0001101", "1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[5], q[4];
ry(0.971) q[5];
cry(1.3559) q[5], q[2];
cry(-0.8863) q[2], q[4];
cry(-0.9958) q[1], q[6];
ry(0.7786) q[1];
cry(-0.5321) q[2], q[6];
cry(0.4778) q[2], q[1];
cry(0.3608) q[2], q[5];... | 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[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
cd168b9dfe6f067036c4fe2db7911cf9 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": 5, "target": 6}, {"sour... | {"states": [206, 254], "expectation_value": -8.608797389865488, "params": null, "bitstrings": ["00110001", "00000001"], "total_optimization_steps": 75, "probabilities": [0.14918300788790093, 0.444116030455215], "optimization_time": 97.49541783332825} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + -0.5 * Z(7) | 1 | 8 | 1 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00000001"]} | 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(1.5681) q[5], q[6];
cry(1.5708) q[6], q[4];
cry(1.2536) q[4], q[5];
cry(0.4771) q[4], q[6];
cry(1.5486) q[2], q[3];
cry(1.2305) q[3], q[2];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-... | null | {"node": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5681) q[5], 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] = mea... |
72ec18873d3dc55875c8efef46485470 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -1.1195583330577734, "params": [[-0.07970000000000001], [0.0743]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.023297537166817543, 0.02359745229410018], "optimization_time": 1.6207873821258545} | -1.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -2.5 * (Z(2) @ Z(3)) + -2.25 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(5) @ Z(3)) + 2.25 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(4) + -0.25 * Z(1) + 0.75 * Z(2) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-11.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.0, "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[3], q[0];
rz(0.1993) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.1196) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.1594) q[1];
cx q[3], q[1];
cx q[4], q[1];
rz(0.1993) q[1];
cx q[4], q[1];
cx q[3], q[2];
rz(0.3985... | 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];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-2732923853862995745 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 3], [0, 1, 2], [2, 4], [0, 1, 4]]} | {"states": [11, 14], "expectation_value": -0.009577997277183031, "params": [[0.0438], [-0.0318]], "bitstrings": ["10100", "10001"], "total_optimization_steps": 10, "probabilities": [0.03171596843607504, 0.03171596843607506], "optimization_time": 1.0962910652160645} | 0.5 * (Z(0) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.33333333333333326 * Z(0) + 0.3333333333333333 * Z(1) + 0.166666666666666... | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.3333333333333335, -1.3333333333333335, -1.3333333333333335], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.333333333333333, "smallest_bitstrings": ["10001", "01011", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(0.0438) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(0.0292) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.0146) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(0.0146) q[2];
cx q[1], q[2];
cx q[0], q[4];
rz(0.0146) q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[1];
rz(x1) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x2) q[2];
cx q[0... | null | {"circuits": [], "gradients": []} |
475b2f0a232bb0d3ab64793dc24452cb | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [25, 74], "expectation_value": -0.40311576129671856, "params": [[-0.0105, -0.0386, -0.0656], [-0.034800000000000005, 0.013000000000000001, 0.056100000000000004]], "bitstrings": ["1100110", "0110101"], "total_optimization_steps": 10, "probabilities": [0.009443442894375468, 0.009443442894375473], "optimization... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(4) + -1.5 * Z(6) + 0.0 * Z(... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100110", "1100011", "1110001", "0110101"]} | 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(-0.0105) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0105) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0105) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0105) q[4];
cx q[0], q[4];
cx q[1], 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | 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": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -27.298662505224538, "params": [[0.0279, 0.001, -0.008700000000000001], [-0.0781, -0.057300000000000004, -0.0427]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006951622435532993, 0.008396767336153932], "optimization_time": 7.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2511) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2511) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2511) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2511) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
6c28370939b7d49c2e67d552301e0191 | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [246, 236], "expectation_value": -26.080077862673168, "params": [[-0.0352, 0.0074, 0.0061], [0.0828, 0.0654, 0.062]], "bitstrings": ["100001001", "100010011"], "total_optimization_steps": 10, "probabilities": [0.008115817051760918, 0.009636347063278336], "optimization_time": 10.555821180343628} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 1 | 9 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3168) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.3168) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.3168) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(-0.3168) q[2];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
347cd23786ada5a7ec96f3799dd0d8dc | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [171, 117], "expectation_value": -21.003525534788952, "params": null, "bitstrings": ["01010100", "10001010"], "total_optimization_steps": 100, "probabilities": [0.09235583992557893, 0.1219335732334597], "optimization_time": 185.46140933036804} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "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];
ry(0.5995) q[2];
ry(29.8457) q[5];
ry(-0.6383) q[7];
ry(63.1298) q[6];
cry(62.5925) q[6], q[2];
ry(30.31) q[3];
cry(62.811) q[4], q[2];
cry(62.821) q[1], q[2];
cry(18.6858) q[2], q[6];
cry(1.1124)... | null | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.5995) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
cba3c0f3028bedd24c97c562399fe60f | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 1, "target": 6}, {"source": 1, "target": 4}, ... | {"states": [77, 69], "expectation_value": -0.06345856891286754, "params": [[0.0451], [-0.033100000000000004]], "bitstrings": ["0110010", "0111010"], "total_optimization_steps": 10, "probabilities": [0.00806862627557421, 0.008069963519570442], "optimization_time": 1.4751534461975098} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["0111010", "1111000", "1101010", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0451) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0451) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0451) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0451) q[5];
cx q[2], q[5];
cx q[0], q[5];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
047a6db213ec2347412434e39dcab446 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "so... | {"states": [248, 184], "expectation_value": -7.144737435325619, "params": [0.0039000000000000003, 0.449, 0.004200000000000001, 0.4471, 0.1945, 0.2074, 0.4459, 0.1935, 0.41950000000000004, 0.1749, 0.5943, 0.0543, 0.5921000000000001, 0.0264, 0.5091, 0.2746, 0.49200000000000005, 0.21430000000000002, 0.0018000000000000002,... | -0.5 * (Z(9) @ Z(2)) + -0.5 * (Z(10) @ Z(2)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(10)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(5) @ Z(3)) +... | 18 | 11 | 4 | {"smallest_eigenvalues": [-9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332, -9.333333333333332], "number_of_sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0039) q[0];
rz(0.449) q[0];
rx(0.0042) q[1];
rz(0.4471) q[1];
rx(0.1945) q[2];
rz(0.2074) q[2];
rx(0.4459) q[3];
rz(0.1935) q[3];
rx(0.4195) q[4];
rz(0.1749) q[4];
rx(0.5943) q[5];
rz(0.0543) q[5];
rx(0.5921) q[6];
rz(0.0264) q[6];
rx(0.5091) 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... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
6440352897ae715b0d3a7f54566e1380 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 5}, {"weight": 18, "source": 0, "target": 2}, {"weight": 7, "source": 2, "target": 3}, {"... | {"states": [124, 110], "expectation_value": -24.955434662804155, "params": [[0.032100000000000004, -0.0019, -0.0008], [-0.08220000000000001, -0.061000000000000006, -0.06720000000000001]], "bitstrings": ["10000011", "10010001"], "total_optimization_steps": 10, "probabilities": [0.013931377023008642, 0.01785551364821482]... | 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(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 17.0 * Z(1) + 1.0 * Z(0) + 16.0 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2568) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2568) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2568) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2568) q[3];
cx q[1], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-4305841559775494919 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 3, 4, 5], [1, 3, 5, 7], [1, 3, 5, 6], [0, 2], [8, 5]]} | {"states": [426, 424], "expectation_value": -1.0575140243150705, "params": [1.0005, -0.0181, 1.0008000000000001, 0.0011, 0.9928, -0.0324, 0.9902000000000001, 0.006, 0.744, 0.0046, 0.1835, 0.0077, 0.9978, -0.034300000000000004, 0.9914000000000001, 0.009000000000000001, 0.9941000000000001, 0.2859, 0.7778, 0.0051, 0.9919,... | 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.08333333333333333 * (Z(7) @ Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["100000111", "001010111", "011010001", "001001000", "001100001", "110000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0005) q[0];
rz(-0.0181) q[0];
rx(0.9928) q[1];
rz(-0.0324) q[1];
rx(0.744) q[2];
rz(0.0046) q[2];
rx(0.9978) q[3];
rz(-0.0343) q[3];
rx(0.9941) q[4];
rz(0.2859) q[4];
rx(0.9919) q[5];
rz(-0.033) q[5];
rx(1.0046) q[6];
rz(-0.0461) q[6];
rx(0.9978) 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": []} |
02500e6c91748dca7195e4be86cff3e1 | 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": [906, 395], "expectation_value": -50.130392075741916, "params": [[[0.7056, 0.32530000000000003], [1.2061, -0.019700000000000002], [1.1961000000000002, 0.39690000000000003], [0.28340000000000004, 0.5869], [0.5592, 0.6722], [0.0025, 0.3277], [1.1824000000000001, 0.5594], [-0.18510000000000001, 1.1952], [0.79, ... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(4) @ Z(9)) + 23.5 * Z(2) + 4.5 * Z(0) + 13.0 * Z(1) + 4.5 * Z(3) + 16.5 * Z(6) + 3.0 * Z(5) + -6.0 * Z(7) + 0.0 *... | 15 | 10 | 2 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.7056) q[0];
ry(1.2061) q[1];
ry(1.1961) q[2];
ry(0.2834) q[3];
ry(0.5592) q[4];
ry(0.0025) q[5];
ry(1.1824) q[6];
ry(-0.1851) q[7];
ry(0.79) q[8];
ry(0.5616) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
66cfc53dbbd6c917fe899effb1140961 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"s... | {"states": [8191, 8161], "expectation_value": -26.543803580626253, "params": [[[0.0025, 3.1613], [0.0019, 0.0022], [-0.0034000000000000002, 0.0022], [0.0022, 0.0028], [0.0018000000000000002, 0.002], [-0.0029000000000000002, 0.0021000000000000003], [0.0022, 0.0028], [0.0025, 0.0022], [0.0026000000000000003, -1.615800000... | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(7) @ Z(1)) + -2.0 * (Z(7) @ Z(0)) + -2.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10)) + -2.0 * (Z(12) @ Z(2)) + 0.5 * (Z(3) @ Z(2)... | 15 | 13 | 1 | {"smallest_eigenvalues": [-27.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["0000000011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0025) q[0];
ry(0.0019) q[1];
ry(-0.0034) q[2];
ry(0.0022) q[3];
ry(0.0018) q[4];
ry(-0.0029) q[5];
ry(0.0022) q[6];
ry(0.0025) q[7];
ry(0.0026) q[8];
ry(0.0018) q[9];
ry(0.0023) q[10];
ry(0.0023) q[11];
ry(0.0025) q[12];
cx q[12], q[0];
cx q[11], q[12];... | OPENQASM 3.0;
include "stdgates.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... | {"node": 8} | {"circuits": [], "gradients": []} |
ff4d8612be902cee01cbb69055101657 | 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": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 56], "expectation_value": -3.496304682848828, "params": null, "bitstrings": ["010011", "000111"], "total_optimization_steps": 22, "probabilities": [0.06706466845673519, 0.9295035070619324], "optimization_time": 13.930716753005981} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["010110", "000111", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4449) q[0];
cry(-1.0398) q[1], q[3];
ry(0.6944) q[1];
ry(-0.451) q[3];
cry(0.4963) q[2], q[1];
cry(-0.3778) q[2], q[3];
cry(0.2518) q[0], q[1];
cry(-0.149... | 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... |
96d3819ecbf0e5da50ec00a60723b600 | 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": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [512, 511], "expectation_value": -9.604333535116913, "params": [[[-0.0016, -0.0019], [0.0015, 0.2622], [-0.0032, -0.0023], [-0.0031000000000000003, 0.0027], [-0.0033, -0.0024000000000000002], [-0.0045000000000000005, 0.0023], [-0.0023, -0.0021000000000000003], [-0.0032, 0.0028], [-1.2614, -0.0031000000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0016) q[0];
ry(0.0015) q[1];
ry(-0.0032) q[2];
ry(-0.0031) q[3];
ry(-0.0033) q[4];
ry(-0.0045) q[5];
ry(-0.0023) q[6];
ry(-0.0032) q[7];
ry(-1.2614) q[8];
ry(0.445) 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": []} |
01c509cf41fe904ef36f9c73fa58f4df | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 4, "ta... | {"states": [54, 52], "expectation_value": -2.49103991716765, "params": [[[-0.0002, 0.31270000000000003], [0.5232, -0.030500000000000003], [0.5396000000000001, -0.0128], [0.6005, 0.0035], [0.0029000000000000002, 0.3655], [0.539, 0.008], [0.5227, 0.0082], [0.0039000000000000003, 0.438]], [[0.0054, 0.45180000000000003], [... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(2) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(7) @ Z(3)) + 0.125 * (Z(7) @ Z(6)) + -0.125 * (... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.875, "smallest_bitstrings": ["10101011", "10101101", "11001011", "11001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0002) q[0];
rz(0.3127) q[0];
rx(0.5232) q[1];
rz(-0.0305) q[1];
rx(0.5396) q[2];
rz(-0.0128) q[2];
rx(0.6005) q[3];
rz(0.0035) q[3];
rx(0.0029) q[4];
rz(0.3655) q[4];
rx(0.539) q[5];
rz(0.008) q[5];
rx(0.5227) q[6];
rz(0.0082) q[6];
rx(0.0039) 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": []} |
3bbeb1b4854b941db57dad35594d6a41 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [197, 213], "expectation_value": -1.6126883493585646, "params": [[[1.4976, 0.0074], [-0.0026000000000000003, 0.0097], [1.7028, 0.0071], [1.7055, 0.004], [-0.0025, 0.0034000000000000002], [1.6258000000000001, 0.0029000000000000002], [0.8914000000000001, 0.0058000000000000005], [1.7019000000000002, 0.0047], [0... | 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... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.9375, "smallest_bitstrings": ["1100101100", "1100101010", "0100111010", "0100111100", "0110110010", "1110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.4976) q[0];
rz(0.0074) q[0];
rx(-0.0026) q[1];
rz(0.0097) q[1];
rx(1.7028) q[2];
rz(0.0071) q[2];
rx(1.7055) q[3];
rz(0.004) q[3];
rx(-0.0025) q[4];
rz(0.0034) q[4];
rx(1.6258) q[5];
rz(0.0029) q[5];
rx(0.8914) q[6];
rz(0.0058) q[6];
rx(1.7019) 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": []} |
271b6d26eb93ad56d6a083b79d80e520 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target":... | {"states": [2047, 1023], "expectation_value": -13.120431425161927, "params": [[[-0.0016, -0.0022], [-0.0001, -0.0023], [0.26430000000000003, -0.003], [0.0055000000000000005, -0.0031000000000000003], [0.004200000000000001, -0.003], [0.0048000000000000004, -0.0029000000000000002], [0.0076, -0.0029000000000000002], [0.000... | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(8) @ Z(4)) + -0.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(9)... | 15 | 11 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.75, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0016) q[0];
ry(-0.0001) q[1];
ry(0.2643) q[2];
ry(0.0055) q[3];
ry(0.0042) q[4];
ry(0.0048) q[5];
ry(0.0076) q[6];
ry(0.0005) q[7];
ry(0.001) q[8];
ry(0.0005) q[9];
ry(1.624) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
c74167a186ef9c06e73f7bbbf8de6ec0 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [368, 372], "expectation_value": -2.6829202711513376, "params": [[[0.26, 0.13390000000000002, 0.0057, 0.0], [0.5931000000000001, -0.1645, 0.5522, -0.1178], [0.5645, -0.40230000000000005, -0.2411, 0.6138], [0.0844, 0.632, 0.38180000000000003, 0.5134000000000001], [0.49210000000000004, -0.3156, 0.55, -0.2907],... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(5) @ Z(3)) + -0.125 * (Z(... | 11 | 9 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.75, "smallest_bitstrings": ["001101001", "100001011", "001001101", "010001011", "001001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.26) q[0];
rz(0.1339) q[0];
ry(0.5931) q[1];
rz(-0.1645) q[1];
ry(0.5645) q[2];
rz(-0.4023) q[2];
ry(0.0844) q[3];
rz(0.632) q[3];
ry(0.4921) q[4];
rz(-0.3156) q[4];
ry(-0.1788) q[5];
rz(0.3297) q[5];
ry(0.1722) q[6];
rz(-0.3943) q[6];
ry(-0.0059) 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": []} |
-185111073126632797 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [0, 1, 3, 5, 7], [0, 1, 4, 6, 7]]} | {"states": [199, 195], "expectation_value": -0.46532755793433495, "params": [2.6434, 0.0064, 2.6428000000000003, 0.0068000000000000005, 1.5128000000000001, 0.0098, 1.5383, 0.0077, 1.5233, 0.0068000000000000005, 1.5695000000000001, 0.0031000000000000003, 1.5895000000000001, 0.0059, 2.4055, 0.0053, 0.0023, 0.003900000000... | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(0)) + 0.05 * (Z(5) @ Z(3)) + 0.1 * (Z(7) @ Z(1)) + 0.1 * (Z(7) @ Z(0)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(5)) + 0... | 16 | 8 | 1 | {"smallest_eigenvalues": [-0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335, -0.7333333333333335], "number_of_smallest_... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.6434) q[0];
rz(0.0064) q[0];
rx(2.6428) q[1];
rz(0.0068) q[1];
rx(1.5128) q[2];
rz(0.0098) q[2];
rx(1.5383) q[3];
rz(0.0077) q[3];
rx(1.5233) q[4];
rz(0.0068) q[4];
rx(1.5695) q[5];
rz(0.0031) q[5];
rx(1.5895) q[6];
rz(0.0059) q[6];
rx(2.4055) 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": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | qaoa | {"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": [56, 7], "expectation_value": -3.1484125325322823, "params": [[-0.0594], [0.061900000000000004]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.010404028092274519, 0.010708365413919252], "optimization_time": 3.794567108154297} | 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 ... | 16 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | 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(-0.2673) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2673) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2673) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2673) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2]... | {"k": 4} | {"circuits": [], "gradients": []} |
38f137728aa288017fb6e77e397c7c5c | 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": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 7}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.22308050642654836, "params": [[-0.2551], [0.26730000000000004]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 30, "probabilities": [3.583084633630474e-05, 3.583084633630477e-05], "optimization_time": 22.167236804962158} | 0.25 * (Z(0) @ Z(1)) + 0.00026041666666666666 * (Z(2) @ Z(0)) + 0.00026041666666666666 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0006510416666666666 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.0006510416666666666 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0005208333333333333 * (Z... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.01996527777774], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0199652777776564, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.1275) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q... | 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[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 ... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [191, 159], "expectation_value": -9.998244594170757, "params": null, "bitstrings": ["101000000", "101100000"], "total_optimization_steps": 63, "probabilities": [0.49913300371250197, 0.49913300371250197], "optimization_time": 104.61717987060547} | -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) @... | 1 | 9 | 1 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5708) q[2];
ry(1.5681) q[4];
cry(1.5706) q[4], q[7];
cry(1.5706) q[4], q[6];
ry(1.5708) q[1];
cry(1.5486) q[4], q[5];
cry(1.4449) q[7], q[8];
cry(-1.4433) q[8], q[0];
ry(0.0892) q[8]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5708) q[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] = ... |
3c0665940b168eebba233cb5a1d3af60 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capac... | {"states": [0, 1], "expectation_value": -12.608417876621246, "params": [-0.0033, 0.0019, -0.0024000000000000002, 0.0013000000000000002, 0.0027, 0.0079, 0.0023, 0.0079, 0.0023, 0.004200000000000001, 0.0024000000000000002, 0.0025, -0.0027, 0.007, 0.0024000000000000002, 0.0044, -0.0028, 1.0124, 1.6018000000000001, 0.0079,... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8)... | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0033) q[0];
rz(0.0019) q[0];
rx(-0.0024) q[1];
rz(0.0013) q[1];
rx(0.0027) q[2];
rz(0.0079) q[2];
rx(0.0023) q[3];
rz(0.0079) q[3];
rx(0.0023) q[4];
rz(0.0042) q[4];
rx(0.0024) q[5];
rz(0.0025) q[5];
rx(-0.0027) q[6];
rz(0.007) q[6];
rx(0.0024) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
26b0c21f43e0914291253fccea754cb4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 3, "source": 3, "target": 1}, {"capaci... | {"states": [1, 21], "expectation_value": -9.449332538501677, "params": null, "bitstrings": ["111110", "101010"], "total_optimization_steps": 37, "probabilities": [0.13103223088624938, 0.7089469748292432], "optimization_time": 25.745290994644165} | -1.5 * (Z(0) @ Z(4)) + -2.0 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + -2.75 * Z(4) + -0.25 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + 0.75 * Z(2) + 1.25 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
cry(-1.5708) q[5], q[0];
ry(1.148) q[5];
ry(-0.6079) q[0];
cry(1.5707) q[1], q[3];
ry(1.056) q[1];
ry(0.48) q[3];
cry(0.3875) q[3], q[1];
cry(0.3392) q[1], q[5];
cry(-0.1428) q[1], q[0];
ry(-1.0... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
a0953ab2303ba896a6b18aabe92f0cad | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [85, 213], "expectation_value": -5.667871600454624, "params": [[0.0023, 0.0022, 0.8473, 0.8497, -0.0317, 1.3989, -0.0017000000000000001, 1.4047, 0.5784, 1.4001000000000001], [0.0024000000000000002, 0.0029000000000000002, 1.4044, 1.405, 0.42800000000000005, 1.4052, -0.0033, 1.3952, 0.2684, 1.4062000000000001]... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(4) @ Z(7)) + 0.0 * Z(2) + -2.0 * Z(0) + -0.5 * ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100001101", "1000001111", "1100101010", "1100101001", "1101000110", "1001000111", "1100001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0023) q[0];
ry(0.0022) q[1];
ry(0.8473) q[2];
ry(0.8497) q[3];
ry(-0.0317) q[4];
ry(1.3989) q[5];
ry(-0.0017) q[6];
ry(1.4047) q[7];
ry(0.5784) q[8];
ry(1.4001) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-6610800188588073922 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 2, 4, 7, 8], [2, 3, 4], [4, 5, 6, 7, 8], [0, 1, 2, 3, 5, 8], [0, 1, 3, 4, 7, 9], [0, 1, 3, 5, 6, 7], [9, 2, 4, 7], [0, 3, 6, 7, 8, 9], [9, 2, 5, 6], [0, 1, 3, 4, 8, 9], [0, 2, 3, 7, 8, 9], [0, 1, 2, 7, 8, 9], [0, 1, 4, 5, 7], [0, 2, 3, 6, 7, 8]]} | {"states": [470, 471], "expectation_value": -2.6599644708842374, "params": [1.6095000000000002, -0.6295000000000001, 1.6803000000000001, 0.0058000000000000005, 2.0923000000000003, 0.077, 0.7328, 0.0071, 1.9795, 0.11320000000000001, 1.0962, 0.008400000000000001, 2.0701, 0.1311, 0.9936, 0.0051, 0.6029, 0.0565, 0.035, 0.0... | 0.11666666666666667 * (Z(1) @ Z(2)) + 0.3 * (Z(4) @ Z(2)) + 0.16666666666666669 * (Z(4) @ Z(1)) + 0.2333333333333333 * (Z(7) @ Z(2)) + 0.2 * (Z(7) @ Z(1)) + 0.26666666666666666 * (Z(7) @ Z(4)) + 0.18333333333333332 * (Z(8) @ Z(2)) + 0.15 * (Z(8) @ Z(1)) + 0.13333333333333333 * (Z(8) @ Z(4)) + 0.2333333333333333 * (Z(8)... | 6 | 10 | 1 | {"smallest_eigenvalues": [-2.9333333333333322], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8666666666666667, "smallest_bitstrings": ["1000101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.6095) q[0];
rz(-0.6295) q[0];
rx(2.0923) q[1];
rz(0.077) q[1];
rx(1.9795) q[2];
rz(0.1132) q[2];
rx(2.0701) q[3];
rz(0.1311) q[3];
rx(0.6029) q[4];
rz(0.0565) q[4];
rx(1.9346) q[5];
rz(0.1331) q[5];
rx(0.4031) q[6];
rz(0.0324) q[6];
rx(1.9177) 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": []} |
2e9df40997cb418d8be634dabc4b4463 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [49, 57], "expectation_value": -3.9069689095196707, "params": [0.0286, 0.13820000000000002, 0.027100000000000003, 0.1302, 0.30720000000000003, -0.0604, 0.30660000000000004, -0.0097, 0.3075, -0.0737, 0.30820000000000003, 0.0009000000000000001, 0.2886, -0.0897, 0.29710000000000003, -0.08990000000000001, 0.2595... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -2.5 * Z(5) + -0.5 * Z(6) + 0.0 * Z(1) + -0.5 * Z(3) | 5 | 7 | 3 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000110", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0286) q[0];
rz(0.1382) q[0];
rx(0.3072) q[1];
rz(-0.0604) q[1];
rx(0.3075) q[2];
rz(-0.0737) q[2];
rx(0.2886) q[3];
rz(-0.0897) q[3];
rx(0.2595) q[4];
rz(-0.0916) q[4];
rx(0.0007) q[5];
rz(0.1842) q[5];
rx(0.3056) q[6];
rz(-0.081) q[6];
crz(-0.0122) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
57f2330f4f0f5f72f7be582df8ad0cf7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"s... | {"states": [0, 8191], "expectation_value": -27.7031933547968, "params": [[[0.0023, 1.6078000000000001], [0.0022, 0.0023], [0.0021000000000000003, 0.0019], [0.002, 0.0018000000000000002], [-0.003, 0.0028], [0.0018000000000000002, 0.0022], [0.0021000000000000003, 0.0019], [0.0022, 0.0019], [-0.003, 0.0026000000000000003]... | -1.5 * (Z(1) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(2)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(10) @ Z(8)) + -3.0 * (Z(10) @ Z(7)) + -... | 15 | 13 | 1 | {"smallest_eigenvalues": [-33.0, -33.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -32.0, "smallest_bitstrings": ["0000000000000", "1100000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0023) q[0];
ry(0.0022) q[1];
ry(0.0021) q[2];
ry(0.002) q[3];
ry(-0.003) q[4];
ry(0.0018) q[5];
ry(0.0021) q[6];
ry(0.0022) q[7];
ry(-0.003) q[8];
ry(0.0022) q[9];
ry(0.0027) q[10];
ry(0.0024) q[11];
ry(0.0021) q[12];
cx q[12], q[0];
cx q[11], q[12];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 0} | {"circuits": [], "gradients": []} |
901818354894385254 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [2, 6], [0, 5], [1, 2], [3, 6]]} | {"states": [88, 97], "expectation_value": -0.04579507105870244, "params": [[0.07350000000000001], [-0.0631]], "bitstrings": ["0100111", "0011110"], "total_optimization_steps": 10, "probabilities": [0.00854858757841081, 0.00854858757841081], "optimization_time": 1.1513707637786865} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) | 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": ["0011110", "0100111", "1011000", "1100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(0.0735) q[0];
cx q[4], q[0];
cx q[6], q[2];
rz(0.0735) q[2];
cx q[6], q[2];
cx q[0], q[5];
rz(0.0735) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(0.0735) q[1];
cx q[2], q[1];
cx q[6], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[6], q[2];
rz(x0) q[2];
cx q[6], q[2];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[2], q[1];
... | null | {"circuits": [], "gradients": []} |
5a12fc3b9ebd59a3b68795f0bd90935e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [42, 50], "expectation_value": -4.499937480746295, "params": null, "bitstrings": ["010101", "001101"], "total_optimization_steps": 28, "probabilities": [1.6356918706669808e-05, 0.9999687410148377], "optimization_time": 24.24774146080017} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["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(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[2];
ry(1.4449) q[4];
ry(1.4417) q[1];
ry(1.4417) q[0];
cry(-0.1259) q[1], q[2];
cry(0.1217) q[4], q[0];
cry(0.1216) q[0], q[1];
cry(0.1186) q[1], q[4];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... |
-6323941343445963502 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[1, 3, 4, 5, 6, 8, 9], [0, 1, 4, 5, 7], [2, 3, 4, 5, 7, 8], [0, 2, 3], [1, 2, 3, 4, 7, 8, 9], [1, 2, 6, 8, 9], [0, 1, 2, 4, 5, 9], [0, 2, 4, 7, 8], [0, 1, 3, 6, 7, 8, 9], [9, 2, 3, 5]]} | {"states": [852, 855], "expectation_value": -1.32327315183079, "params": [[[1.5724, 1.3815000000000002], [1.8706, -0.6294000000000001], [1.5684, 1.5684], [1.5685, 1.5681], [1.5690000000000002, 1.2487000000000001], [1.5684, 1.5726], [1.5686, 1.586], [1.5738, 1.5693000000000001], [1.5689000000000002, -0.0611], [1.5736, -... | 0.07142857142857142 * (Z(1) @ Z(3)) + 0.08095238095238094 * (Z(4) @ Z(3)) + 0.13095238095238096 * (Z(4) @ Z(1)) + 0.14047619047619048 * (Z(5) @ Z(3)) + 0.10714285714285715 * (Z(5) @ Z(1)) + 0.14047619047619048 * (Z(5) @ Z(4)) + 0.047619047619047616 * (Z(6) @ Z(3)) + 0.09761904761904762 * (Z(6) @ Z(1)) + 0.0238095238095... | 15 | 10 | 1 | {"smallest_eigenvalues": [-2.107142857142858], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.107142857142857, "smallest_bitstrings": ["0010101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5724) q[0];
ry(1.8706) q[1];
ry(1.5684) q[2];
ry(1.5685) q[3];
ry(1.569) q[4];
ry(1.5684) q[5];
ry(1.5686) q[6];
ry(1.5738) q[7];
ry(1.5689) q[8];
ry(1.5736) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
b6e9c67b0c484e488c49b77c22239259 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [7, 39], "expectation_value": -5.9647370286344, "params": [-0.0143, -0.4057, 0.012, -0.35200000000000004, 0.1487, 0.3074, 0.8114, -0.0313, 0.37970000000000004, -0.21100000000000002, 0.5938, 0.0007, 0.7992, -0.0016, 0.8052, 0.0024000000000000002, 0.8042, -0.0045000000000000005, -0.0125, 0.3396, 0.002, 0.3894,... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(4) ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["011100110", "111010100", "111011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0143) q[0];
rz(-0.4057) q[0];
rx(0.012) q[1];
rz(-0.352) q[1];
rx(0.1487) q[2];
rz(0.3074) q[2];
rx(0.8114) q[3];
rz(-0.0313) q[3];
rx(0.3797) q[4];
rz(-0.211) q[4];
rx(0.5938) q[5];
rz(0.0007) q[5];
rx(0.7992) q[6];
rz(-0.0016) q[6];
rx(0.8052) 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": []} |
02500e6c91748dca7195e4be86cff3e1 | 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": [459, 395], "expectation_value": -49.87278511065565, "params": [[[0.5076, 0.3886], [0.5899, 0.41440000000000005], [0.5922000000000001, 0.3957], [0.1715, 0.47050000000000003], [0.0557, 0.24070000000000003], [-0.007, 0.2157], [0.5917, 0.4746], [-0.1029, 0.374], [0.3125, 0.1842], [0.6013000000000001, 0.3967]], ... | 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(0)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(4) @ Z(9)) + 23.5 * Z(2) + 4.5 * Z(0) + 13.0 * Z(1) + 4.5 * Z(3) + 16.5 * Z(6) + 3.0 * Z(5) + -6.0 * Z(7) + 0.0 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1001110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.5076) q[0];
ry(0.5899) q[1];
ry(0.5922) q[2];
ry(0.1715) q[3];
ry(0.0557) q[4];
ry(-0.007) q[5];
ry(0.5917) q[6];
ry(-0.1029) q[7];
ry(0.3125) q[8];
ry(0.6013) 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
7e23eef08dcdb4e5133f79c5680febb8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 3}, {"capaci... | {"states": [1279, 3327], "expectation_value": -27.386466450473254, "params": [[[0.5426, 0.0031000000000000003], [0.048, 0.0011], [-0.44630000000000003, -0.016], [0.7736000000000001, 0.0081], [-0.0038, -0.0085], [-0.7164, 0.4161], [0.18780000000000002, 0.44120000000000004], [1.1551, -0.0198], [0.5996, -0.028800000000000... | -0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + -1.0 * (Z(1) @ Z(6)) + 0.5 * (Z(7) @ Z(9)) + 1.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(7)) + 0.5 * (Z(11... | 15 | 14 | 4 | {"smallest_eigenvalues": [-27.833333333333176], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.83333333333282, "smallest_bitstrings": ["11001100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.5426) q[0];
ry(0.048) q[1];
ry(-0.4463) q[2];
ry(0.7736) q[3];
ry(-0.0038) q[4];
ry(-0.7164) q[5];
ry(0.1878) q[6];
ry(1.1551) q[7];
ry(0.5996) q[8];
ry(0.1911) q[9];
ry(1.1808) q[10];
ry(0.0002) q[11];
ry(1.2116) q[12];
ry(0.2343) q[13];
cx q[13], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-9156451271853645948 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 4], [0, 3], [1, 2], [9, 5], [6, 7], [8, 9]]} | {"states": [233, 201], "expectation_value": -2.647882350766147, "params": [-0.0002, 0.0001, 0.079, 0.0038, 1.6351, 1.5228000000000002, 1.4347, 1.578, 1.6307, 0.6995, 0.007, -0.0158, 1.582, 1.5739, -0.0025, -0.0092, 0.0811, -0.09570000000000001, 1.5687, 1.5832000000000002, 0.041, 0.040600000000000004, 1.0297, 1.04330000... | 0.16666666666666666 * (Z(9) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(9)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(9)) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(9) + 0.16666666666666666 * Z(4) + 0.0 * Z(3... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335, -2.8333333333333335], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.8333333333333326, "smallest_bitstrings": ["0011011010", "1100... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0002) q[0];
ry(0.079) q[1];
ry(1.6351) q[2];
ry(1.4347) q[3];
ry(1.6307) q[4];
ry(0.007) q[5];
ry(1.582) q[6];
ry(-0.0025) q[7];
ry(0.0811) q[8];
ry(1.5687) q[9];
crx(0.041) q[9], q[0];
crx(-1.0354) q[8], q[9];
crx(1.5063) q[7], q[8];
crx(-0.3715) q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
903e48fe1c017d89c939e864aea4e4cc | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "... | {"states": [0, 127], "expectation_value": -4.8305388562688405, "params": [[0.0729], [-0.078]], "bitstrings": ["111111111111", "111110000000"], "total_optimization_steps": 10, "probabilities": [0.0006946394921877322, 0.0007482860836970058], "optimization_time": 3.680964708328247} | 1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 1.0 * (Z(4) @ Z(2)) + 1.0 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -3.0 * (Z(0) @ Z(2)) + -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + -2.5 * (Z(0) @ Z(4)) + -3.0 * (Z(5) @ Z(6)) + -3.0 * (Z(8) @ Z(6)) + -3.5 * (Z(8) @ Z(5)) + -2.5 * (Z(10) @ Z(6)) + -3.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-40.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.5, "smallest_bitstrings": ["111110000000"]} | 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[2], q[1];
rz(0.1458) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.2916) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0729) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"node": 0} | {"circuits": [], "gradients": []} |
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