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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
00fe25d4a425253f426d2d6c8e4bc3c4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [629, 613], "expectation_value": -87.21885164187293, "params": [[[0.6312, 0.0453], [0.7055, 0.0698], [0.11270000000000001, 0.0395], [0.031100000000000003, 0.033100000000000004], [0.6963, 0.3693], [0.32130000000000003, 0.5152], [0.32220000000000004, 0.4852], [0.056600000000000004, 0.2775], [0.6454000000000001... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(3) @ Z(5)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(4) @ Z(6)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(10) @ Z(0)) + 6.5 * (Z(10) @ Z(8)) + 6.5 * (Z(10) @ Z(9)) + 7.0 * Z(0) + 6.5 * Z(1) + 12.5 * Z(5) + -2.5 * Z(3) +... | 15 | 11 | 4 | {"smallest_eigenvalues": [-117.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["10110011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.6312) q[0];
ry(0.7055) q[1];
ry(0.1127) q[2];
ry(0.0311) q[3];
ry(0.6963) q[4];
ry(0.3213) q[5];
ry(0.3222) q[6];
ry(0.0566) q[7];
ry(0.6454) q[8];
ry(0.4533) q[9];
ry(0.5588) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
b92b38a0dbc3e1289d9c44b7d3398828 | 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": [90, 91], "expectation_value": -76.92206374275445, "params": [[[0.9127000000000001, -0.0031000000000000003], [0.0111, -0.0018000000000000002], [-0.0173, -0.00030000000000000003], [1.0811, 0.24020000000000002], [0.1221, 0.2727], [0.1567, 0.6842], [0.11080000000000001, 1.0401], [0.0514, 1.0733000000000001], [0... | 7.0 * (Z(1) @ Z(3)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(0) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(9) @ Z(1)) + 16.5 * Z(3) + 2.0 * Z(1) + 3.5 * Z(2) + 15.0 * Z(6) + -2.5 * Z(0) + 16.0 * Z(5) + 3.0 * Z(4) + -3.0 ... | 15 | 10 | 3 | {"smallest_eigenvalues": [-93.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -85.0, "smallest_bitstrings": ["1110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.9127) q[0];
ry(0.0111) q[1];
ry(-0.0173) q[2];
ry(1.0811) q[3];
ry(0.1221) q[4];
ry(0.1567) q[5];
ry(0.1108) q[6];
ry(0.0514) q[7];
ry(0.7206) q[8];
ry(0.6657) 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": []} |
e58428a6900eb2eef0cb4731fd8b4a99 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 48.34622287750244} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(1.5708) q[6];
ry(-1.57) q[0];
cry(-1.5708) q[6], q[2];
cry(1.5486) q[6], q[1];
cry(1.0342) q[3], q[4];
cry(1.0518) q[4], q[3];
cry(0.2248) q[6], q[4];
cry(0.1574) q[1], q[3];
ry(0.146... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
2840456929365522092 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4], [0, 3], [3, 4], [0, 5], [3, 5], [0, 6], [2, 3], [0, 4], [1, 6]]} | {"states": [13, 114], "expectation_value": -0.029941233937268386, "params": [[-0.0371], [0.045200000000000004]], "bitstrings": ["1110010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.0080758473121285, 0.0080758473121285], "optimization_time": 1.3650844097137451} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.5, "smallest_bitstrings": ["0000111", "1101000", "0010111", "0001111", "1110000", "1110010", "0001101", "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[4], q[2];
rz(-0.0371) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(-0.0371) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(-0.0371) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0.0371) q[3];
cx q[2], 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;
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[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[2], q[3];
... | null | {"circuits": [], "gradients": []} |
567ab3f84ce062f1688c69d8443a4851 | 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}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capac... | {"states": [758, 511], "expectation_value": -14.023243624855015, "params": null, "bitstrings": ["0100001001", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.06874252266008575, 0.8317235501491776], "optimization_time": 243.4608108997345} | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + 1.5 * (Z(9) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z... | 1 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"]} | 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];
ry(1.5708) q[3];
cry(1.5708) q[3], q[4];
cry(1.5708) q[3], q[5];
cry(1.5708) q[6], q[1];
ry(1.5708) q[2];
ry(1.068) q[6];
ry(0.5944) q[1];
cry(1.5706) q[4], q[7];
cry(1.5705) q[1... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\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]... |
-388711381930406404 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [0, 7], [8, 1, 6], [8, 5], [1, 4, 6], [0, 8, 3, 4], [1, 3], [5, 7], [4, 6, 7], [3, 7], [1, 4, 5], [3, 6], [2, 4]]} | {"states": [151, 147], "expectation_value": -0.1417517661781162, "params": [[0.0784], [-0.0756]], "bitstrings": ["101101000", "101101100"], "total_optimization_steps": 10, "probabilities": [0.002307011903841905, 0.002356906223392872], "optimization_time": 3.134861946105957} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(8) @ Z(0)) + 0.3333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(7)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.833333333333333, "smallest_bitstrings": ["101101100", "101101000"]} | 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[1];
rz(0.0784) q[1];
cx q[2], q[1];
cx q[7], q[0];
rz(0.0784) q[0];
cx q[7], q[0];
cx q[1], q[8];
rz(0.0261) q[8];
cx q[1], q[8];
cx q[0], q[8];
rz(0.0131) q[8];
cx q[0], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2],... | null | {"circuits": [], "gradients": []} |
7750233873703748455 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 5, 6], [1, 5], [1, 6], [0, 4], [0, 3, 5], [0, 1, 2]]} | {"states": [122, 91], "expectation_value": -2.1703430157292036, "params": null, "bitstrings": ["0000101", "0100100"], "total_optimization_steps": 53, "probabilities": [0.051740058561969, 0.7703012368330903], "optimization_time": 69.98695278167725} | 0.5 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.333333333333332, "smallest_bitstrings": ["0110100", "0100100"]} | 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[2];
cry(-1.0342) q[3], q[4];
ry(0.971) q[3];
cry(-0.8029) q[0], q[4];
ry(1.1526) q[0];
ry(-0.401) q[4];
cry(-1.193) q[6], q[1];
ry(0.7673) q[6];
cry(-0.6816) q[5], q[1];
cry(0.4774) q[0], q[3... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
28550855a20366800e3fd917bf6489e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -0.06292505584505631, "params": [[-0.0263, 0.0459], [0.0393, -0.0356]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004181364713127459, 0.004181933769375706], "optimization_time": 3.581491708755493} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["11101110", "11111110", "11100110", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0132) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0132) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(0.0263) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.0132) q[5];
cx q[2], q[5];
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] 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... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
78b2aa881a7a82fd730b24b867b12c25 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [171, 169], "expectation_value": -3.8232782030663253, "params": [0.8550000000000001, 0.0029000000000000002, 0.0038, 0.5403, 0.9092, 0.20400000000000001, 0.8814000000000001, 0.5301, 0.9053, 0.5686, -0.0132, 0.4496, 0.7206, 0.0857, 0.9116000000000001, 0.0, 0.8628, 0.0047, 0.0038, 0.0027, 0.9015000000000001, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + -2.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z... | 3 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.5, "smallest_bitstrings": ["11010100", "11001100", "01001110", "01010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.855) q[0];
rz(0.0029) q[0];
rx(0.0038) q[1];
rz(0.5403) q[1];
rx(0.9092) q[2];
rz(0.204) q[2];
rx(0.8814) q[3];
rz(0.5301) q[3];
rx(0.9053) q[4];
rz(0.5686) q[4];
rx(-0.0132) q[5];
rz(0.4496) q[5];
rx(0.7206) q[6];
rz(0.0857) q[6];
rx(0.9116) 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": []} |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [91, 89], "expectation_value": -1.7541673067880823, "params": [0.5061, 0.0026000000000000003, -0.0004, 0.3551, 0.4979, 0.0039000000000000003, 0.4969, 0.14450000000000002, 0.0815, 0.2659, 0.3014, -0.09040000000000001, 0.5018, 0.0125, 0.4993, 0.0046, -0.0037, 0.38680000000000003, 0.5024000000000001, 0.002, 0.4... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 18 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5061) q[0];
rz(0.0026) q[0];
rx(-0.0004) q[1];
rz(0.3551) q[1];
rx(0.4979) q[2];
rz(0.0039) q[2];
rx(0.4969) q[3];
rz(0.1445) q[3];
rx(0.0815) q[4];
rz(0.2659) q[4];
rx(0.3014) q[5];
rz(-0.0904) q[5];
rx(0.5018) q[6];
rz(0.0125) q[6];
crz(0.0002) 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": []} |
ab957251534d09507f870c3a6ef42154 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [40, 23], "expectation_value": -0.24430453358645526, "params": [[0.0575, 0.0444, 0.0308], [-0.060000000000000005, -0.0443, -0.028300000000000002]], "bitstrings": ["010111", "101000"], "total_optimization_steps": 10, "probabilities": [0.01931741156881211, 0.02077869810484058], "optimization_time": 4.202790260... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + 0.0 * Z(5) + -1.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0575) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0575) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(0.0575) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0575) q[2];
cx q[1], q[2];
cx q[4], q[2];
rz(0.0575... | OPENQASM 3.0;
include "stdgates.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": []} |
b2e8809c1b83009e0289ab5de516e6f7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [136, 137], "expectation_value": -4.542936810907742, "params": [0.40540000000000004, 0.0009000000000000001, 0.22710000000000002, 0.18660000000000002, 0.0505, 0.24350000000000002, 0.0005, 0.2096, 0.4026, 0.0965, -0.0032, 0.2126, 0.0514, 0.2184, 0.4007, 0.0025, 0.3995, 0.0007, 0.20620000000000002, 0.2047000000... | 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(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(2) ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["01110110", "11010110", "00110111", "10110011", "01111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4054) q[0];
rz(0.0009) q[0];
rx(0.2271) q[1];
rz(0.1866) q[1];
rx(0.0505) q[2];
rz(0.2435) q[2];
rx(0.0005) q[3];
rz(0.2096) q[3];
rx(0.4026) q[4];
rz(0.0965) q[4];
rx(-0.0032) q[5];
rz(0.2126) q[5];
rx(0.0514) q[6];
rz(0.2184) q[6];
rx(0.4007) 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": []} |
4ef8200fc046c4367eac131306e89d2f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [882, 850], "expectation_value": -75.70255957917117, "params": [0.0016, 0.7927000000000001, 1.202, 0.0005, 1.2002000000000002, 0.1996, 0.5433, 0.3934, 1.1954, 0.2013, 0.7751, 0.35950000000000004, 1.2027, 0.2909, -0.0206, 0.7019000000000001, 0.0032, 0.8268000000000001, 1.1997, 0.093, 0.551, 0.3698, 0.0015, 0.... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(2) @ Z(3)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(5) @ Z(4)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(10) @ Z(2)) + 6.5 * (Z(10) @ Z(4)) + -4.5 * Z(0) + 13.0 * Z(1) + 1.5 * Z(3) + 12.0 * Z(2) +... | 18 | 11 | 2 | {"smallest_eigenvalues": [-118.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.5, "smallest_bitstrings": ["10010101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0016) q[0];
rz(0.7927) q[0];
rx(1.202) q[1];
rz(0.0005) q[1];
rx(1.2002) q[2];
rz(0.1996) q[2];
rx(0.5433) q[3];
rz(0.3934) q[3];
rx(1.1954) q[4];
rz(0.2013) q[4];
rx(0.7751) q[5];
rz(0.3595) q[5];
rx(1.2027) q[6];
rz(0.2909) q[6];
rx(-0.0206) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-1078943584955744393 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 4], [0, 2, 3, 7, 8], [0, 3, 5, 6, 7, 8], [2, 3, 5, 6, 7], [0, 1, 2, 6, 7, 8], [0, 1, 2, 4, 5], [1, 2, 3, 6, 7, 8], [1, 2, 3, 4], [4, 6], [0, 1, 3, 6, 8]]} | {"states": [492, 237], "expectation_value": -1.2823575844493968, "params": [[-0.37120000000000003], [0.3633]], "bitstrings": ["000010011", "100010010"], "total_optimization_steps": 40, "probabilities": [0.0062307274136240475, 0.006422231944002537], "optimization_time": 7.83405065536499} | 0.2 * (Z(8) @ Z(1)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(8)) + 0.21666666666666667 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.13333333333333336 * (Z(0) @ Z(1)) + 0.16666666666666669 * (Z(0) @ Z(8)) + 0.13333333333333336 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(4)) + 0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.3666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3166666666666664, "smallest_bitstrings": ["100010010"]} | 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[8];
rz(-0.1485) q[8];
cx q[1], q[8];
cx q[1], q[3];
rz(-0.1856) q[3];
cx q[1], q[3];
cx q[8], q[3];
rz(-0.1856) q[3];
cx q[8], q[3];
cx q[1], q[4];
rz(-0.1609) q[4];
cx q[1], 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": []} |
9654c545357abbe9e95dba48af827af6 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}], "edges": [{"weight": 8, "source": 0, "target": 3}, {"weight": 19, ... | {"states": [126, 118], "expectation_value": -55.44471029432733, "params": [1.4258000000000002, 0.0022, 3.1617, 0.0032, 3.1613, 0.0022, 3.1616, 0.009000000000000001, 1.4959, 0.0061, 3.1605000000000003, 0.001, 3.1591, 0.006500000000000001, -0.0029000000000000002, 0.0036000000000000003, 0.007500000000000001, 0.0061, 0.003... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.5 * Z(1) + 8.0 * Z(0) + 10.5 * Z(2) + 13.5 * Z(5) + 1... | 18 | 8 | 1 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4258) q[0];
rz(0.0022) q[0];
rx(3.1617) q[1];
rz(0.0032) q[1];
rx(3.1613) q[2];
rz(0.0022) q[2];
rx(3.1616) q[3];
rz(0.009) q[3];
rx(1.4959) q[4];
rz(0.0061) q[4];
rx(3.1605) q[5];
rz(0.001) q[5];
rx(3.1591) q[6];
rz(0.0065) q[6];
rx(-0.0029) 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] x2;
input float[64] x3;
input float[6... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6]}"} | {"circuits": [], "gradients": []} |
9b4be5d748a292e481722f1ef8f75020 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}]} | {"states": [11, 10], "expectation_value": -4.9823623478529155, "params": [0.0024000000000000002, 0.006200000000000001, 0.0024000000000000002, 0.003, 0.0024000000000000002, 0.0027, 0.0025, 0.0081, 2.2003, 0.0039000000000000003, 1.4987000000000001, 0.0034000000000000002, 2.2002, 0.0037, 1.5018, 0.0014, 0.0087000000000000... | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + 0.4 * (Z(1) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 1.0 * (Z(6) @ Z(4)) + -1.0 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 1.0 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 1.0 ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-6.6000000000000005, -6.6000000000000005], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.999999999999999, "smallest_bitstrings": ["11110010", "11110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0024) q[0];
rz(0.0062) q[0];
rx(0.0024) q[1];
rz(0.003) q[1];
rx(0.0024) q[2];
rz(0.0027) q[2];
rx(0.0025) q[3];
rz(0.0081) q[3];
rx(2.2003) q[4];
rz(0.0039) q[4];
rx(1.4987) q[5];
rz(0.0034) q[5];
rx(2.2002) q[6];
rz(0.0037) q[6];
rx(1.5018) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
a6b81bd94db1dc24b1e0e42e6a7091b4 | 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": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 16, "source": 1, "target": 4}, {"weight": 9, "source": 2, "tar... | {"states": [286, 218], "expectation_value": -13.347787974619505, "params": [[0.027700000000000002, -0.0396, -0.0412], [-0.055, 0.007200000000000001, 0.0388]], "bitstrings": ["011100001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.004640866908507449, 0.00556525026044632], "optimization_time": 6.31... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 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(5)) + 4.5 * (Z(8) @ Z(7)) + 13.0 * Z(1) + 5.0 * Z(0) + 12.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2493) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.2493) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.2493) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(0.2493) q[3];
cx q[4], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [50, 42], "expectation_value": -0.15445087554338374, "params": [[-0.044000000000000004, -0.0274, 0.0274], [0.0661, 0.0376, 0.0024000000000000002]], "bitstrings": ["001101", "010101"], "total_optimization_steps": 10, "probabilities": [0.01777577483388823, 0.017775774833888234], "optimization_time": 3.48785471... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["010101", "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[3], q[0];
rz(-0.044) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.044) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.044) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(-0.044) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(-0.044... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0... | null | {"circuits": [], "gradients": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [1, 3], "expectation_value": -10.191566208765225, "params": null, "bitstrings": ["11111110", "11111100"], "total_optimization_steps": 26, "probabilities": [0.4124944454805767, 0.42588535922311377], "optimization_time": 19.456178426742554} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(-1.5708) q[5];
cry(-1.5681) q[7], q[0];
ry(1.1695) q[7];
ry(-0.5526) q[0];
ry(-1.5653) q[2];
ry(-1.5708) q[3];
ry(-1.5706) q[4];
cry(0.2883) q[6], q[7];
cry(-0.1874) q[6], q[0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
4b8e8d3bc089d9f1ce23ac8f56ea8854 | 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": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [380, 124], "expectation_value": -2.0513251275514426, "params": [[[0.0027, 0.0056], [1.5429000000000002, 0.0063], [0.6556000000000001, 0.006500000000000001], [2.2075, 0.002], [2.2035, 0.003], [2.2079, 0.0024000000000000002], [2.1967000000000003, 0.0006000000000000001], [2.2116000000000002, 0.0048000000000000... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.375, "smallest_bitstrings": ["1111000001", "1010110010", "1110100010", "1000110110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0027) q[0];
rz(0.0056) q[0];
rx(1.5429) q[1];
rz(0.0063) q[1];
rx(0.6556) q[2];
rz(0.0065) q[2];
rx(2.2075) q[3];
rz(0.002) q[3];
rx(2.2035) q[4];
rz(0.003) q[4];
rx(2.2079) q[5];
rz(0.0024) q[5];
rx(2.1967) q[6];
rz(0.0006) q[6];
rx(2.2116) 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": []} |
0f435eed505f807fb8dc44643dfd43ce | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "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": 2, "target"... | {"states": [0, 1], "expectation_value": -19.846753048622734, "params": [[[-0.0009000000000000001, 0.4586], [-0.0041, 0.3926], [-0.0007, 0.45080000000000003], [-0.0006000000000000001, -0.452], [0.8104, -0.0037]], [[-0.0007, 0.0037], [-0.001, 0.0014], [-0.0001, 0.0047], [-0.0001, 0.005200000000000001], [0.808800000000000... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.25 * Z(1) + -8.5 * Z(0) + -8.25 * Z(2) + -8.25 * Z(3) + -7.75 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-21.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.75, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0009) q[0];
rz(0.4586) q[0];
rx(-0.0041) q[1];
rz(0.3926) q[1];
rx(-0.0007) q[2];
rz(0.4508) q[2];
rx(-0.0006) q[3];
rz(-0.452) q[3];
rx(0.8104) q[4];
rz(-0.0037) q[4];
rx(-0.0007) q[0];
rz(0.0037) q[0];
rx(-0.001) q[1];
rz(0.0014) q[1];
rx(-0.0001) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} |
79c413169b46cfe9500c0e20c1b4b614 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1920], "expectation_value": -1.1833594823789462, "params": [[0.0396], [-0.036000000000000004]], "bitstrings": ["11111111111", "00001111111"], "total_optimization_steps": 10, "probabilities": [0.0006358912004669129, 0.0006497888369926672], "optimization_time": 1.6590163707733154} | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + -3.0 * (Z(8) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(8)) + 1.0 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -2.5 ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-32.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -29.0, "smallest_bitstrings": ["00001111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.1584) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0396) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1584) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0396) ... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 5} | {"circuits": [], "gradients": []} |
d62a0f012823c70bafc442cdcec5fdce | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, ... | {"states": [687, 683], "expectation_value": -1.308138840350595, "params": [[[0.6023000000000001, 0.08560000000000001], [0.0959, 0.0328], [0.6031000000000001, -0.0053], [0.2883, -0.1184], [0.5997, 0.5011], [0.2922, 0.6041000000000001], [0.5807, 0.3765], [0.3942, 0.32180000000000003], [0.35400000000000004, 0.593100000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(8) @ Z(2)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (... | 15 | 10 | 3 | {"smallest_eigenvalues": [-3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125, -3.3125], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.3125, "smallest_bitstrings": ["0111010000", "1100100100", "0101010010", "0100110100", "1011001000", "0101010100", "1001001100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.6023) q[0];
ry(0.0959) q[1];
ry(0.6031) q[2];
ry(0.2883) q[3];
ry(0.5997) q[4];
ry(0.2922) q[5];
ry(0.5807) q[6];
ry(0.3942) q[7];
ry(0.354) q[8];
ry(0.6064) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [113, 97], "expectation_value": -10.35316923629764, "params": null, "bitstrings": ["10001110", "10011110"], "total_optimization_steps": 55, "probabilities": [0.3431873609156808, 0.4603072463763573], "optimization_time": 60.956788539886475} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7408) q[3];
cry(1.5708) q[1], q[2];
ry(1.0383) q[1];
cry(-0.8298) q[1], q[3];
cry(1.5708) q[1], q[7];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[6];
ry(-1.5708) q[4];
ry(-1.5685) q[5];
cry(0.480... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7408) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
-6332755779047497654 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [0, 2, 3, 5], [1, 6], [2, 3, 5, 6], [1, 2, 5], [2, 5, 7], [0, 3, 5, 6, 7]]} | {"states": [182, 166], "expectation_value": -1.5588815260925324, "params": [1.0973, 0.041, 1.0986, 0.005, 0.8062, -0.0152, 0.5801000000000001, 0.004200000000000001, 1.0954000000000002, 0.037200000000000004, 1.0953000000000002, 0.0078000000000000005, 1.0866, -0.14600000000000002, 0.8314, 0.0045000000000000005, 0.926, 0.... | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.05 * (Z(... | 6 | 8 | 1 | {"smallest_eigenvalues": [-2.3666666666666676], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.283333333333333, "smallest_bitstrings": ["01011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.0973) q[0];
rz(0.041) q[0];
rx(0.8062) q[1];
rz(-0.0152) q[1];
rx(1.0954) q[2];
rz(0.0372) q[2];
rx(1.0866) q[3];
rz(-0.146) q[3];
rx(0.926) q[4];
rz(0.0171) q[4];
rx(1.0985) q[5];
rz(0.0394) q[5];
rx(1.1052) q[6];
rz(0.0453) q[6];
rx(1.1017) 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": []} |
d5af6033ed988c3d3adf4d77cc0740e1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 8}, {"capacity": 4, "source": ... | {"states": [0, 2046], "expectation_value": -31.54538469478151, "params": [[[-0.5473, 0.6372], [0.0021000000000000003, 1.4107], [0.0022, 0.0025], [0.0021000000000000003, 0.002], [0.0015, 0.0021000000000000003], [0.0018000000000000002, 0.0021000000000000003], [0.0022, 0.0021000000000000003], [0.0014, 0.002], [0.002100000... | -0.5 * (Z(0) @ Z(5)) + -1.25 * (Z(10) @ Z(5)) + -0.75 * (Z(10) @ Z(0)) + -0.75 * (Z(11) @ Z(5)) + -1.0 * (Z(11) @ Z(0)) + -0.75 * (Z(11) @ Z(10)) + 2.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(11)) + -2.75 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(11)) + -1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(10)) + -1.75 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-33.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.25, "smallest_bitstrings": ["100000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.5473) q[0];
ry(0.0021) q[1];
ry(0.0022) q[2];
ry(0.0021) q[3];
ry(0.0015) q[4];
ry(0.0018) q[5];
ry(0.0022) q[6];
ry(0.0014) q[7];
ry(0.0021) q[8];
ry(0.0027) q[9];
ry(0.0029) q[10];
ry(0.0023) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d94808e5cc9b60725b159cb308a4d8c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capaci... | {"states": [1, 21], "expectation_value": -3.7808846170911785, "params": [[-0.2776], [0.2776]], "bitstrings": ["111110", "101010"], "total_optimization_steps": 30, "probabilities": [0.06684958640102567, 0.06818612425284969], "optimization_time": 2.547785758972168} | -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 | 1 | {"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];
cx q[1], q[0];
rz(0.4164) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.5552) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1388) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.4164) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.2776... | 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[1], q[0];
rz(x0) q[0];
cx q... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
3761320352817550044 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 4], [1, 4], [2, 4], [2, 3], [4, 5], [1, 6]]} | {"states": [13, 114], "expectation_value": -0.019962535931370096, "params": [[0.042], [-0.039900000000000005]], "bitstrings": ["1110010", "0001101"], "total_optimization_steps": 10, "probabilities": [0.008127362349358675, 0.008127362349358675], "optimization_time": 1.1892776489257812} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1110010", "0001101"]} | 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(0.042) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.042) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(0.042) q[2];
cx q[4], q[2];
cx q[2], q[3];
rz(0.042) q[3];
cx q[2], q[3];
cx q[4], q[5];
rz(0.... | 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[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[2], q[3];
... | null | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]} | {"states": [32190, 31710], "expectation_value": -10.191291075401743, "params": [[-0.0497, -0.060000000000000005, -0.0658, -0.0533], [0.0584, 0.059800000000000006, 0.0646, 0.0597]], "bitstrings": ["1000001001000001", "1000010000100001"], "total_optimization_steps": 10, "probabilities": [0.00020043111113834787, 0.0002004... | 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)) + 0.25 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7... | 1 | 16 | 4 | {"smallest_eigenvalues": [-19.99999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999932, "smallest_bitstrings": ["1000010000100001"]} | 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(-0.0497) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0497) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0497) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368653, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 46.44123697280884} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1111110", "1000110"]} | 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(-1.57) q[6], q[0];
ry(1.1302) q[6];
ry(-1.5697) q[5];
ry(-1.5708) q[4];
ry(-0.5955) q[0];
cry(0.3524) q[3], q[6];
cry(1.4449) q[2], q[1];
cry(1.497) q[2], q[3];
cry(0.9286) q[1], q[2];
cry(0.4231) q[1... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... |
2231796561822519105 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 3], [4, 7], [8, 7], [0, 3], [3, 6], [8, 6], [8, 3], [2, 3], [2, 4], [2, 7], [8, 9], [9, 7], [9, 5], [9, 2], [0, 1], [1, 2], [5, 6], [1, 7], [1, 3], [0, 7], [4, 6]]} | {"states": [333, 269], "expectation_value": -0.10520443302870237, "params": [0.6967, 0.007, 0.6916, 0.0034000000000000002, 0.7059000000000001, -0.001, 0.7037, 0.0067, 0.6998000000000001, -0.0073, 0.7041000000000001, 0.008, 0.7030000000000001, -0.0002, 0.7056, 0.0049, 0.6911, 0.0058000000000000005, 0.6716000000000001, 0... | 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -3.5, "smallest_bitstrings": ["0011001100", "1010001001", "1010001011", "0011011100", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6967) q[0];
rz(0.007) q[0];
rx(0.7059) q[1];
rz(-0.001) q[1];
rx(0.6998) q[2];
rz(-0.0073) q[2];
rx(0.703) q[3];
rz(-0.0002) q[3];
rx(0.6911) q[4];
rz(0.0058) q[4];
rx(0.7024) q[5];
rz(-0.0002) q[5];
rx(0.707) q[6];
rz(-0.0007) q[6];
rx(0.6957) 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": []} |
b23cde890d8b1ae4239a91aa0ab68c6f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 6}, {"weight": 4, "source... | {"states": [222, 218], "expectation_value": -75.03125932241979, "params": [0.17930000000000001, -0.24880000000000002, 0.7088, 0.0006000000000000001, 0.9831000000000001, -0.0772, 0.436, -0.3966, 0.9831000000000001, -0.0241, 0.9799, 0.1399, 0.543, 0.35500000000000004, 0.9966, -0.11220000000000001, 0.3471, -0.366600000000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) ... | 4 | 9 | 3 | {"smallest_eigenvalues": [-90.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1793) q[0];
rz(-0.2488) q[0];
rx(0.7088) q[1];
rz(0.0006) q[1];
rx(0.9831) q[2];
rz(-0.0772) q[2];
rx(0.436) q[3];
rz(-0.3966) q[3];
rx(0.9831) q[4];
rz(-0.0241) q[4];
rx(0.9799) q[5];
rz(0.1399) q[5];
rx(0.543) q[6];
rz(0.355) q[6];
rx(0.9966) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-1336766891314729242 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 5], [1, 5, 6], [3, 6], [0, 3, 4], [0, 6], [0, 1, 3], [1, 2, 3], [3, 7], [3, 5]]} | {"states": [111, 208], "expectation_value": -0.06351208398496883, "params": [[-0.0606], [0.0651]], "bitstrings": ["10010000", "00101111"], "total_optimization_steps": 10, "probabilities": [0.004239311546510092, 0.0042603960455332695], "optimization_time": 0.7059006690979004} | 0.5 * (Z(0) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.3333333333333333 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(6)) + 0.1666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333334, "smallest_bitstrings": ["00101111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(-0.0606) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.0202) q[1];
cx q[5], q[1];
cx q[0], q[1];
rz(-0.0202) q[1];
cx q[0], q[1];
cx q[5], q[6];
rz(-0.0202) q[6];
cx q[5], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(x1) q[1];
cx q[5], q[1];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
-8180463195446035676 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4, 5], [8, 9, 12], [0, 9, 12], [1, 10, 6], [9, 4, 6], [9, 12, 5], [11, 12], [12, 4], [8, 1], [9, 4, 7], [0, 11, 4], [10, 5], [10, 7], [0, 1, 10], [3, 12], [2, 12, 5], [1, 2], [8, 9, 0], [8, 2, 5], [1, 7], [3, 11], [0, 5], [2, 10, 3], [9, 10], [2, ... | {"states": [6137, 6136], "expectation_value": -2.7738188705389324, "params": [1.1855, 1.1913, 0.5717, 0.5700000000000001, 1.2033, 1.2036, 1.1924000000000001, 1.196, 1.1896, 1.1908, 1.1834, 1.1798, 1.1935, 1.1961000000000002, 0.9741000000000001, 0.9675, 1.1936, 1.1978, 1.1898, 1.187, 0.6191, 0.6146, 0.4839, 0.4851000000... | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(5)) + 0.3333333333333333 * (Z(9) @ Z(8)) + 0.5 * (Z(12) @ Z(4)) + 0.5 * (Z(12) @ Z(3)) + 0.33333333... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.500000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666667, "smallest_bitstrings": ["0100000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.1855) q[0];
ry(0.5717) q[1];
ry(1.2033) q[2];
ry(1.1924) q[3];
ry(1.1896) q[4];
ry(1.1834) q[5];
ry(1.1935) q[6];
ry(0.9741) q[7];
ry(1.1936) q[8];
ry(1.1898) q[9];
ry(0.6191) q[10];
ry(0.4839) q[11];
ry(0.7441) q[12];
crz(-0.3204) q[12], q[0];
crz(0.35... | OPENQASM 3.0;
include "stdgates.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": []} |
c57af7e32d961e6547bc80ba0ce96978 | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target":... | {"states": [511, 510], "expectation_value": -19.047823005267215, "params": [[[0.0058000000000000005, 3.1594], [0.0026000000000000003, -0.0026000000000000003], [0.0019, -0.0025], [0.0025, -0.0021000000000000003], [0.0025, -0.0022], [-0.0027, 0.0027], [0.0024000000000000002, 0.0025], [-1.6686, -0.003], [0.0019, -0.0032]]... | -2.0 * (Z(0) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(... | 15 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0058) q[0];
ry(0.0026) q[1];
ry(0.0019) q[2];
ry(0.0025) q[3];
ry(0.0025) q[4];
ry(-0.0027) q[5];
ry(0.0024) q[6];
ry(-1.6686) q[7];
ry(0.0019) 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];
... | OPENQASM 3.0;
include "stdgates.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": 8} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 4, "target": 3}]} | {"states": [37, 7], "expectation_value": -6.868769623322617, "params": null, "bitstrings": ["011010", "111000"], "total_optimization_steps": 55, "probabilities": [0.10740038652747583, 0.6097205169304722], "optimization_time": 62.52863359451294} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * ... | 18 | 6 | 2 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(-1.5708) q[5], q[1];
ry(0.8911) q[5];
cry(-1.5708) q[4], q[0];
cry(-1.5655) q[3], q[2];
ry(1.08) q[3];
ry(0.6956) q[4];
ry(-0.5067) q[2];
ry(-0.3797) q[1];
cry(0.3507) q[3], q[5];
ry(-0.2547) q[0];
cry(0.4031... | null | {"k": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(-1.5708) q[5], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
f77dd16494069058366da267be47f963 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [360, 364], "expectation_value": -2.3861553695911186, "params": [[[0.9064000000000001, 0.0017000000000000001, 0.0089, 0.0049], [-0.0017000000000000001, -0.22340000000000002, -0.0035, 0.0019], [0.9039, 0.010400000000000001, 0.0038, 0.013300000000000001], [0.2504, 0.31420000000000003, 0.9004000000000001, 0.009... | 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... | 12 | 9 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.6875, "smallest_bitstrings": ["000111010", "010010011", "110000011", "010110010", "100101010", "100001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.9064) q[0];
rz(0.0017) q[0];
ry(-0.0017) q[1];
rz(-0.2234) q[1];
ry(0.9039) q[2];
rz(0.0104) q[2];
ry(0.2504) q[3];
rz(0.3142) q[3];
ry(0.014) q[4];
rz(0.0061) q[4];
ry(0.1533) q[5];
rz(0.1544) q[5];
ry(0.8931) q[6];
rz(0.0023) q[6];
ry(-0.0053) 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": []} |
079037ec8afa0faee757e98edb21cf7e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [68, 76], "expectation_value": -4.847526098224298, "params": [0.0432, 0.1585, 0.0407, 0.15360000000000001, 0.3057, -0.060200000000000004, 0.3052, -0.0094, 0.0608, -0.0678, 0.0611, -0.08710000000000001, -0.005, 0.1655, 0.0037, 0.1794, 0.29860000000000003, -0.0432, 0.3025, -0.0012000000000000001, 0.304, -0.029... | 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(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + -1.0 * Z(1) ... | 5 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["10111010", "01111010", "10010111", "10110011", "11110001", "11010101", "01110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0432) q[0];
rz(0.1585) q[0];
rx(0.3057) q[1];
rz(-0.0602) q[1];
rx(0.0608) q[2];
rz(-0.0678) q[2];
rx(-0.005) q[3];
rz(0.1655) q[3];
rx(0.2986) q[4];
rz(-0.0432) q[4];
rx(0.304) q[5];
rz(-0.0295) q[5];
rx(0.0395) q[6];
rz(0.1586) q[6];
rx(0.0395) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 239], "expectation_value": -6.491343794723452, "params": null, "bitstrings": ["110010000", "100010000"], "total_optimization_steps": 68, "probabilities": [0.00415858273822145, 0.9910444896765185], "optimization_time": 110.55331110954285} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 2 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["110010000", "100010000", "111011110", "100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[3];
cry(1.5486) q[3], q[6];
cry(-1.5486) q[6], q[4];
cry(1.4448) q[3], q[7];
cry(1.548) q[7], q[2];
cry(1.4434) q[7], q[1];
cry(1.4433) q[3], q[8];
cry(-1.448) q[8], q[0];
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] = m... |
02575a12c565dc28617818fe7f0b4a99 | 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": 7, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 11, "source": 0, "target": 4}, {"weight": 11, "source": 1, "target": 3}, {... | {"states": [123, 118], "expectation_value": -37.43620304047168, "params": null, "bitstrings": ["10000100", "10001001"], "total_optimization_steps": 100, "probabilities": [0.14850359474344763, 0.18487269087280014], "optimization_time": 183.13639307022095} | 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(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(5)) + 9.5 * Z(1) + 7.5 * Z(0) + 13.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(38.6317) q[6];
ry(-6.1156) q[5];
ry(2.6234) q[2];
ry(0.6747) q[3];
ry(0.3884) q[1];
cry(0.208) q[6], q[5];
cry(-0.004) q[6], q[1];
cry(0.2368) q[6], q[2];
cry(-0.1517) q[3], q[2];
cry(-0.2602) ... | 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(38.6317) 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... |
00c47f772e828bc0d4453cbe4002ef93 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [13, 7], "expectation_value": -7.301179756772244, "params": [[0.0434, 0.0373, 0.0236, 0.0083], [-0.051000000000000004, -0.066, -0.0636, -0.048400000000000006]], "bitstrings": ["1110010", "1111000"], "total_optimization_steps": 10, "probabilities": [0.021309919048683533, 0.023966669347355207], "optimization_t... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
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(0.1953) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1953) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1953) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1953) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
1d36f605f450bd24c53bed4c61ab6422 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [35, 51], "expectation_value": -5.999992674318019, "params": null, "bitstrings": ["1011100", "1001100"], "total_optimization_steps": 25, "probabilities": [0.4999990845657494, 0.4999990845657494], "optimization_time": 21.902257680892944} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.25 * (Z(1) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * Z(3) + -0.25 * Z(0) + -0.75 * Z(4) + 0.25 * Z(2) + 0.25 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011100", "1001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5706) q[5];
cry(1.5486) q[5], q[1];
ry(1.5681) q[6];
ry(-1.5706) q[0];
ry(-1.5486) q[3];
cry(-1.5681) q[5], q[4];
cry(-0.0222) q[6], q[3];
ry(0.0222) q[1];
cry(-0.0002) q[6], q[0];
cry(-0.0027) q[6],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5706) q[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", "... |
f619afa25c1921f996d128a1dfefef72 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 5}, {"weight": 1, "source": 3, "target": 4}, {"weight": 1, "... | {"states": [2705, 2709], "expectation_value": -0.7395554533751841, "params": [0.2889, 0.0267, 0.2958, 0.0261, 0.097, -0.06620000000000001, 0.0952, -0.0707, 0.28850000000000003, -0.011600000000000001, 0.28950000000000004, -0.0261, 0.0966, 0.0946, 0.09670000000000001, 0.0889, 0.2889, 0.019700000000000002, 0.2880000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0017499999999999998 * (Z(2) @ Z(0)) + -0.0017499999999999998 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0017499999999999998 * (Z(4) @ Z(0)) + 0.00025000000000000006 * (Z(4) @ Z(2)) + -0.0017499999999999998 * (Z(5) @ Z(1)) + 0.00025000000000000006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 12 | 4 | {"smallest_eigenvalues": [-1.52, -1.52], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5159999999999996, "smallest_bitstrings": ["101010010101", "010101101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2889) q[0];
rz(0.0267) q[0];
rx(0.097) q[1];
rz(-0.0662) q[1];
rx(0.2885) q[2];
rz(-0.0116) q[2];
rx(0.0966) q[3];
rz(0.0946) q[3];
rx(0.2889) q[4];
rz(0.0197) q[4];
rx(0.1061) q[5];
rz(-0.0364) q[5];
rx(0.0956) q[6];
rz(0.0938) q[6];
rx(0.2982) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
5613929488697532029 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[3, 4], [0, 1, 2, 4, 5, 8, 10], [2, 4, 6, 8, 10, 11], [8, 9, 4, 7], [0, 1, 7, 8, 10], [0, 3, 5, 6, 7, 9], [0, 10, 4, 6], [3, 6, 7, 9, 10], [0, 1, 3, 5, 10, 11], [0, 1, 3, 5, 8, 9, 10], [2, 11, 5], [0, 2, 4, 6, 8, 9], [0, 1, 4, 5, 8, 9, 11], [8, 3, 11]]} | {"states": [2839, 1263], "expectation_value": -2.894617877417323, "params": [[[3.1391, 0.0027], [3.1384000000000003, 0.0037], [0.002, 0.0024000000000000002], [3.1396, 0.0045000000000000005], [0.0027, 0.008400000000000001], [0.7571, 0.005], [2.2473, 0.0063], [3.1395, 0.0094], [1.5384, 0.007], [-0.0017000000000000001, 0.... | 0.5 * (Z(3) @ Z(4)) + 0.16428571428571428 * (Z(0) @ Z(4)) + 0.09047619047619047 * (Z(0) @ Z(3)) + 0.047619047619047616 * (Z(1) @ Z(4)) + 0.05714285714285714 * (Z(1) @ Z(3)) + 0.15476190476190477 * (Z(1) @ Z(0)) + 0.09047619047619047 * (Z(2) @ Z(4)) + 0.05714285714285714 * (Z(2) @ Z(0)) + 0.023809523809523808 * (Z(2) @ ... | 2 | 12 | 1 | {"smallest_eigenvalues": [-3.2571428571428576], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.1928571428571426, "smallest_bitstrings": ["101100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(3.1391) q[0];
rz(0.0027) q[0];
rx(3.1384) q[1];
rz(0.0037) q[1];
rx(0.002) q[2];
rz(0.0024) q[2];
rx(3.1396) q[3];
rz(0.0045) q[3];
rx(0.0027) q[4];
rz(0.0084) q[4];
rx(0.7571) q[5];
rz(0.005) q[5];
rx(2.2473) q[6];
rz(0.0063) q[6];
rx(3.1395) 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | 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": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 1.953711748123169} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
cdb854f7a3121cd6804897539bcddf09 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "targ... | {"states": [16381, 16371], "expectation_value": -23.464456105691315, "params": [[[0.0026000000000000003, 3.1385], [0.0018000000000000002, 0.0021000000000000003], [0.002, 0.0019], [0.0021000000000000003, 0.0019], [0.002, 0.0018000000000000002], [0.0022, 0.0017000000000000001], [0.0022, 0.0021000000000000003], [0.0019, 0... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + -2.5 * (Z(9) @ Z(6)) + -2.0 * (Z(9) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 ... | 15 | 14 | 1 | {"smallest_eigenvalues": [-27.499999999999893], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.499999999999567, "smallest_bitstrings": ["00000000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(0.0026) q[0];
ry(0.0018) q[1];
ry(0.002) q[2];
ry(0.0021) q[3];
ry(0.002) q[4];
ry(0.0022) q[5];
ry(0.0022) q[6];
ry(0.0019) q[7];
ry(0.0019) q[8];
ry(0.0023) q[9];
ry(0.0041) q[10];
ry(-0.0009) q[11];
ry(-0.0026) q[12];
ry(0.0023) q[13];
cx q[13], q[0];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 14} | {"circuits": [], "gradients": []} |
7282702479489441897 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [3, 5], [4, 7], [5, 6], [0, 5], [5, 7], [2, 3], [4, 6], [2, 4], [3, 4], [1, 4], [0, 4], [2, 5], [0, 7], [3, 6]]} | {"states": [44, 211], "expectation_value": -0.12138900530927901, "params": [[-0.0621], [0.0668]], "bitstrings": ["11010011", "00101100"], "total_optimization_steps": 10, "probabilities": [0.004367658618046346, 0.004367658618046346], "optimization_time": 0.6895575523376465} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -2.5, "smallest_bitstrings": ["11100011", "00001100", "00011100", "10110011", "01001100", "10100011", "01011100", "00101100", "11110011", "11010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.0621) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0621) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.0621) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0.0621) q[5];
cx q[3], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[3]... | null | {"circuits": [], "gradients": []} |
aa7d7207794ebe4415ef692308a5e5fc | 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": 7}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [2047, 1021], "expectation_value": -26.300758643486084, "params": [[[0.0023, 3.1383], [0.0024000000000000002, 0.0026000000000000003], [0.0014, 0.0019], [0.0034000000000000002, 0.0026000000000000003], [0.0029000000000000002, -0.003], [0.0019, 0.0024000000000000002], [-0.0031000000000000003, 0.0025], [0.003100... | -0.75 * (Z(0) @ Z(8)) + -1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -1.5 * (Z(2) @ Z(8)) + 2.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(10)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z... | 15 | 11 | 1 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0023) q[0];
ry(0.0024) q[1];
ry(0.0014) q[2];
ry(0.0034) q[3];
ry(0.0029) q[4];
ry(0.0019) q[5];
ry(-0.0031) q[6];
ry(0.0031) q[7];
ry(-0.0024) q[8];
ry(0.0027) q[9];
ry(-1.5964) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
9d1382902993d8e771af3489e0021226 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [250, 467], "expectation_value": -0.07549626948024316, "params": [[0.043300000000000005, 0.020300000000000002, 0.0378], [-0.042100000000000005, -0.0213, -0.026500000000000003]], "bitstrings": ["100000101", "000101100"], "total_optimization_steps": 10, "probabilities": [0.0023013121427941465, 0.00230131214279... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.125, "smallest_bitstrings": ["100000101", "010010001", "000101100", "010001010"]} | 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(0.0108) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.0108) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(0.0108) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(0.0108) q[1];
cx q[2], q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
4243f02c605bbdbed3a1b13ecb63eadb | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target":... | {"states": [0, 320], "expectation_value": -28.002157791804027, "params": [0.0007, 0.1898, 0.0015, 0.184, -0.0055000000000000005, 0.2369, 0.0011, 0.2248, 0.30810000000000004, -0.00030000000000000003, 0.3084, -0.0002, 0.0047, 0.2043, -0.0051, 0.2406, 0.2662, -0.0038, 0.2685, -0.0038, 0.0077, 0.0482, 0.0026000000000000003... | -0.25 * (Z(0) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.0 * (Z(6) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(5)) + -0.5 * (Z(10) @ Z(0)) + -1.0 * (Z(10) @ Z(6)) + -0.75 * (Z(10) @ Z(9)) + 2.25 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(9)) + -0.75 * (Z(... | 6 | 11 | 3 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["11010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0007) q[0];
rz(0.1898) q[0];
rx(-0.0055) q[1];
rz(0.2369) q[1];
rx(0.3081) q[2];
rz(-0.0003) q[2];
rx(0.0047) q[3];
rz(0.2043) q[3];
rx(0.2662) q[4];
rz(-0.0038) q[4];
rx(0.0077) q[5];
rz(0.0482) q[5];
rx(-0.0018) q[6];
rz(0.2252) q[6];
rx(0.0011) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
50ae2479d5601754158b9fc59193bb01 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [89, 90], "expectation_value": -4.499877231909843, "params": null, "bitstrings": ["0100110", "0100101"], "total_optimization_steps": 34, "probabilities": [1.6414107538670035e-05, 0.9999257932419419], "optimization_time": 33.80292248725891} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.4449) q[6];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4417) q[3];
ry(1.4417) q[5];
ry(1.4384) q[0];
cry(-0.1259) q[5], q[6];
cry(-0.1259) q[3], q[4];
cry(0.1248) q[2], q[0];
cry(0.12... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
-2368963512029151782 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[2, 3], [0, 1], [0, 3], [1, 3]]} | {"states": [6, 14], "expectation_value": -0.8856979653185816, "params": null, "bitstrings": ["1001", "0001"], "total_optimization_steps": 19, "probabilities": [0.354369625868032, 0.45076300031592137], "optimization_time": 10.830183506011963} | 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0, -1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": 0.0, "smallest_bitstrings": ["1110", "1010", "1001", "0110", "0101", "0001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cry(-1.0342) q[2], q[3];
ry(0.7003) q[2];
cry(-0.7092) q[1], q[3];
cry(1.1516) q[2], q[1];
cry(-0.3808) q[0], q[3];
cry(0.5092) q[1], q[2];
ry(0.1926) q[1];
ry(-0.1031) q[3];
cry(-0.2604) q[3], q[2];
cry(0.1322) q[0], q[2];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh... |
d78f7556e7639886d17f02ad3944a31a | 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": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 7}, {"source": 4, "target":... | {"states": [0, 451], "expectation_value": -15.640462124981276, "params": [0.14, 0.7708, -0.3336, 0.8085, 0.26, 0.8347, -0.33190000000000003, 0.8673000000000001, -0.3069, 0.22340000000000002, -0.3279, 0.3766, 0.0016, 0.6911, 0.0015, 0.73, -0.007500000000000001, 0.526, 0.0013000000000000002, 0.5438000000000001, 0.0005, 0... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(6)) + -2.5 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(6) + -2.0 * Z(3) + -2.0 * Z(4) + -2.0 * Z(5) +... | 6 | 9 | 3 | {"smallest_eigenvalues": [-18.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.14) q[0];
rz(0.7708) q[0];
rx(0.26) q[1];
rz(0.8347) q[1];
rx(-0.3069) q[2];
rz(0.2234) q[2];
rx(0.0016) q[3];
rz(0.6911) q[3];
rx(-0.0075) q[4];
rz(0.526) q[4];
rx(0.0005) q[5];
rz(0.651) q[5];
rx(0.0038) q[6];
rz(0.6315) q[6];
rx(-0.36) q[7];
rz(0.2849)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 4} | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [250, 122], "expectation_value": -69.16728219256953, "params": [0.38530000000000003, 0.2442, 0.7728, 0.0016, 0.7847000000000001, 0.001, 0.7828, -0.0059, 0.8617, 0.1459, 0.0949, 0.3871, 0.8855000000000001, 0.1376, 0.1769, 0.3416, 0.3859, 0.23600000000000002, 0.7827000000000001, -0.0024000000000000002, 0.784, ... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3853) q[0];
rz(0.2442) q[0];
rx(0.7728) q[1];
rz(0.0016) q[1];
rx(0.7847) q[2];
rz(0.001) q[2];
rx(0.7828) q[3];
rz(-0.0059) q[3];
rx(0.8617) q[4];
rz(0.1459) q[4];
rx(0.0949) q[5];
rz(0.3871) q[5];
rx(0.8855) q[6];
rz(0.1376) q[6];
rx(0.1769) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
fc7b19754949f0e05a27875fb69f344a | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 2, "target": 3}]} | {"states": [13, 31], "expectation_value": -6.902789604743709, "params": [[0.0403, 0.0092, 0.0205, 0.006200000000000001], [-0.0621, -0.037000000000000005, -0.0453, -0.038200000000000005]], "bitstrings": ["11110010", "11100000"], "total_optimization_steps": 10, "probabilities": [0.007445189318267387, 0.00765176874455592]... | 2.0 * (Z(3) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 3.0 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(3)) + -3.0 * (Z(7) @ Z(5)) + 1.0 * (Z(7) @ Z(6)) + -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.125 * (Z(2) @ Z(0)) + 9.0 * Z(4) + 4.5 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-22.125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.125, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[3];
rz(0.1612) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.4836) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.2418) q[5];
cx q[3], q[5];
cx q[4], q[6];
rz(-0.0806) q[6];
cx q[4], q[6];
cx q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
7af7d775bcaae53afe2e6cd801577577 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4... | {"states": [61, 63], "expectation_value": -0.47743221344062126, "params": [[0.0639, 0.069], [-0.0417, -0.0577]], "bitstrings": ["1000010", "1000000"], "total_optimization_steps": 10, "probabilities": [0.010647077825809249, 0.010962550652322652], "optimization_time": 2.3818883895874023} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(2) + -0.25 * Z(0) + -0.5 * Z(5) + -0.75 * Z(3) + 1.25 * Z(1) + 0.0 * Z(4) + -0.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.0, "smallest_bitstrings": ["1000010", "1000000", "1001010", "1001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0319) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0639) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0639) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(-0.0958) q[1];
cx q[3], q[1];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [2, 6], "expectation_value": -0.9975482063899028, "params": [0.2949, 0.509, 0.2353, 0.0098, 0.8486, -0.0217, 0.8033, 0.0012000000000000001, 0.8592000000000001, 0.09290000000000001, 0.8371000000000001, 0.005200000000000001, 0.24400000000000002, -0.4374, 0.22690000000000002, 0.0046, 0.5241, -0.3748, 0.4434, -0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) | 5 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(0.2949) q[0];
rz(0.509) q[0];
rx(0.8486) q[1];
rz(-0.0217) q[1];
rx(0.8592) q[2];
rz(0.0929) q[2];
rx(0.244) q[3];
rz(-0.4374) q[3];
crz(0.4434) q[3], q[2];
crz(-0.3748) q[3], q[1];
crz(0.5241) q[3], q[0];
crz(-0.5028) q[2], q[3];
crz(-0.3748) q[2], q[1];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
dddd2c6c503a97ade6b445e6815c4f85 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 3... | {"states": [17, 1], "expectation_value": -18.2033545525087, "params": null, "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 39, "probabilities": [0.09184956582734856, 0.7367857029693289], "optimization_time": 39.31627440452576} | -1.5 * (Z(0) @ Z(2)) + -1.0 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(1) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(1)) + 4.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -4.5 * Z(2) + -0.2... | 1 | 7 | 4 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-0.7408) q[2];
ry(1.2796) q[6];
cry(-0.271) q[6], q[0];
ry(-0.0201) q[0];
cry(0.2116) q[6], q[2];
cry(-1.2764) q[5], q[0];
cry(-1.0373) q[1], q[2];
ry(-1.5708) q[4];
cry(-0.6405) q[1], q[0];
ry(-1.5708... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
b426b8aff164c6823b185eb6b091738d | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [53, 75], "expectation_value": -0.04087461820574492, "params": [[-0.046200000000000005], [0.057800000000000004]], "bitstrings": ["1001010", "0110100"], "total_optimization_steps": 10, "probabilities": [0.008357263456849654, 0.008357263456849659], "optimization_time": 1.8265786170959473} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.2... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["1001010", "0110100"]} | 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(-0.0462) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0462) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(-0.0462) q[1];
cx q[3], q[1];
cx q[5], q[4];
rz(-0.0462) q[4];
cx q[5], q[4];
cx q[4], 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[2], q[0];
rz(x0) q[0];
cx q[2], q[0]... | null | {"circuits": [], "gradients": []} |
45a16483fc17cca61ace9bf5c51bc6d6 | 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}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "ta... | {"states": [127, 126], "expectation_value": -0.28119682561587533, "params": [[0.0175], [-0.0207]], "bitstrings": ["0000000", "0000001"], "total_optimization_steps": 10, "probabilities": [0.00833886294512187, 0.008350916098394254], "optimization_time": 2.9359424114227295} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 1.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.5 * (Z(5) @ Z(3)) + -3.0 * (Z(2) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -3.0 * (Z(2) @ Z(3)) + -3.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(1)) + 1.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(5)) + -2.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-25.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.5, "smallest_bitstrings": ["0000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.105) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0525) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.105) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0525) q[5];
cx q[1], 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;
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[3];
rz(x1) q[3];
cx q[1], q[3]... | {"node": 6} | {"circuits": [], "gradients": []} |
2989818470589922369 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 7, 9, 11, 12], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12], [0, 2, 3, 5, 6, 10, 11, 12], [0, 2, 9, 11, 12], [8, 11], [11, 4, 7], [1, 3, 6, 9, 10, 11, 12]]} | {"states": [8070, 8078], "expectation_value": -1.6497983156153042, "params": [1.5759, 1.5730000000000002, 1.5688, 1.5676, 1.5667, 1.5687, 1.5659, 1.5705, 1.5853000000000002, 1.5896000000000001, 1.8959000000000001, 1.2322, 0.3486, 0.3487, 0.18480000000000002, 0.18680000000000002, 0.0019, 0.0019, 0.8328, 0.8294, 1.571500... | 0.06471861471861472 * (Z(1) @ Z(3)) + 0.04090909090909091 * (Z(7) @ Z(3)) + 0.04090909090909091 * (Z(7) @ Z(1)) + 0.06471861471861472 * (Z(9) @ Z(3)) + 0.06471861471861472 * (Z(9) @ Z(1)) + 0.04090909090909091 * (Z(9) @ Z(7)) + 0.075 * (Z(11) @ Z(3)) + 0.05714285714285714 * (Z(11) @ Z(1)) + 0.19999999999999998 * (Z(11)... | 13 | 13 | 1 | {"smallest_eigenvalues": [-1.7538961038961038, -1.7538961038961038, -1.7538961038961038], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.7436147186147184, "smallest_bitstrings": ["0001100010001", "0000000110101", "0000001110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5759) q[0];
ry(1.5688) q[1];
ry(1.5667) q[2];
ry(1.5659) q[3];
ry(1.5853) q[4];
ry(1.8959) q[5];
ry(0.3486) q[6];
ry(0.1848) q[7];
ry(0.0019) q[8];
ry(0.8328) q[9];
ry(1.5715) q[10];
ry(1.5735) q[11];
ry(0.2098) q[12];
crz(-0.8655) q[12], q[0];
crz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
90ed954541db23a75eecb07977c28089 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": ... | {"states": [28, 3], "expectation_value": -0.13692220909669098, "params": [[0.043500000000000004], [-0.040100000000000004]], "bitstrings": ["100011", "111100"], "total_optimization_steps": 10, "probabilities": [0.016385701071935144, 0.01639818095704615], "optimization_time": 1.4477770328521729} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011", "100111", "111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0435) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0435) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0435) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.0435) q[3];
cx q[2], q[3];
cx q[1], q[4];
rz(0.0435... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(x0) q[3]... | null | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [6, 9], "expectation_value": -0.037106195090662555, "params": [[0.0516, 0.020300000000000002], [-0.054200000000000005, -0.0269]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.06720636563376199, 0.06720636563376199], "optimization_time": 1.7578203678131104} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0516) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0516) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0516) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0516) q[3];
cx q[2], q[3];
rz(0) q[1];
rz(0) q[0];
rz(0) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} |
f8645113517905e1df1749520352d679 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 4}, {"weight": 7, "source": 2, "tar... | {"states": [351, 220], "expectation_value": -33.770427835155814, "params": null, "bitstrings": ["010100000", "100100011"], "total_optimization_steps": 100, "probabilities": [0.0903789040445417, 0.3121445371268592], "optimization_time": 150.01693773269653} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 6.0 * Z(1) + 5.0 * Z(0) + 12.0 * Z(2) + 8.0 * Z(4) + 8.0... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(7.7632) q[5];
ry(-0.0267) q[4];
cry(0.4218) q[5], q[4];
ry(0.383) q[6];
ry(0.383) q[2];
cry(-1.118) q[5], q[6];
cry(-1.118) q[5], q[2];
ry(4.0096) q[7];
ry(2.1271) q[0];
cry(-4.0386) q[... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(7.7632) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
-229149218053872417 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 7], [9, 3], [9, 5], [0, 4], [0, 1], [8, 0], [9, 1], [8, 4], [2, 3], [6, 7]]} | {"states": [643, 651], "expectation_value": -0.5432243759982582, "params": [0.8858, 0.8875000000000001, 0.6729, 0.6621, 0.905, 0.8994000000000001, 0.5817, 0.6004, 0.6169, 0.6123000000000001, 0.6064, 0.5645, 0.8931, 0.8919, 0.6848000000000001, 0.6902, 0.8954000000000001, 0.8828, 0.8925000000000001, 0.8945000000000001, 0... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(9) @ Z(3)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(9) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(8... | 14 | 10 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["0101110100", "1010001001", "1010001011", "1010101001", "0101010110", "0101110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8858) q[0];
ry(0.6729) q[1];
ry(0.905) q[2];
ry(0.5817) q[3];
ry(0.6169) q[4];
ry(0.6064) q[5];
ry(0.8931) q[6];
ry(0.6848) q[7];
ry(0.8954) q[8];
ry(0.8925) q[9];
crx(0.8825) q[9], q[0];
crx(0.8922) q[8], q[9];
crx(0.8908) q[7], q[8];
crx(-0.7029) 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": []} |
5d24358bf33b0fea3dae672970cf9db0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 6}, {"weight": 12, "source": 0, "target": 4}, {"weight": 19, "sourc... | {"states": [241, 236], "expectation_value": -11.759819457459677, "params": [[0.0427, 0.010400000000000001], [-0.0565, -0.0468]], "bitstrings": ["100001110", "100010011"], "total_optimization_steps": 10, "probabilities": [0.005944687143794551, 0.007027350845310935], "optimization_time": 3.0638225078582764} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(6)) + 11.0 * Z(1) + 5.5 * Z(0) + 17.5 * Z(2) + 4.5 * Z(3) + 5.5 * Z(5) + 0.5 * Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "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(0.427) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.427) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.427) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.427) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [126, 1], "expectation_value": -0.9359207462662136, "params": [[0.07400000000000001], [-0.06760000000000001]], "bitstrings": ["0000001", "1111110"], "total_optimization_steps": 10, "probabilities": [0.01179498456050278, 0.012995194211309858], "optimization_time": 2.23109769821167} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(4)) + -1.25 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(4)) + -0.25 * (Z(6) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-16.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "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[2], q[0];
rz(-0.037) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.074) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.074) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(-0.111) q[4];
cx q[2], q[4];
cx q[0], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
a1d30927e8d1c8c726712f7d85b25667 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 3, "target": 7}, {"capacity": 1, "source": 4, ... | {"states": [127, 95], "expectation_value": -7.602146008888258, "params": null, "bitstrings": ["10000000", "10100000"], "total_optimization_steps": 58, "probabilities": [0.2143241896166521, 0.21435663823199338], "optimization_time": 60.19374632835388} | -1.0 * (Z(0) @ Z(3)) + -1.75 * (Z(1) @ Z(6)) + -1.0 * (Z(7) @ Z(3)) + 1.25 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(6)) + -0.25 * (Z(2) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * Z(3) + -0.25 * Z(0) + 1.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -6.75, "smallest_bitstrings": ["10000000", "10110000", "10100000", "10010000", "10111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
ry(1.5708) q[6];
cry(1.5681) q[6], q[1];
cry(-1.5486) q[7], q[0];
ry(1.035) q[7];
cry(-0.4546) q[6], q[0];
cry(1.4449) q[6], q[4];
cry(0.323) q[1], q[7];
cry(-0.2109) q[5], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
-7766961286763522825 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 6], [0, 1, 2, 3, 4, 7], [3, 6], [1, 5], [6, 7], [3, 5, 7]]} | {"states": [181, 241], "expectation_value": -2.1453680615248922, "params": null, "bitstrings": ["01001010", "00001110"], "total_optimization_steps": 54, "probabilities": [0.0686728357242892, 0.8055856935379914], "optimization_time": 95.12977623939514} | 0.19999999999999998 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.03333333333333333 * (Z(3) @ Z(2)) + 0.03333333333333333 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(6)) + 0.03333333333333333 * (Z(3) @ Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.166666666666667, "smallest_bitstrings": ["00001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.0342) q[0];
cry(-1.0008) q[7], q[6];
ry(1.0358) q[7];
cry(-0.8348) q[3], q[6];
ry(1.1659) q[3];
ry(-0.4206) q[6];
cry(-1.1589) q[1], q[5];
ry(0.7433) q[1];
ry(-0.5055) q[5];
cry(0.4588) q[3],... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.0342) 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[... |
ad5e16c647b3e8afeeb51cea63283747 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [80, 88], "expectation_value": -3.47662293227021, "params": [[[0.078, 0.0076], [-0.014700000000000001, 0.0024000000000000002], [0.609, -0.09090000000000001], [0.5978, -0.0981], [-0.026500000000000003, -0.011600000000000001], [0.5961000000000001, 0.5945], [0.5828, 0.5968]], [[0.5752, -0.0012000000000000001], ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -2.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + -1.0 * Z(6) + -0.5 * Z(3) | 15 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["0010111", "1100101", "0100111", "0101110", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.078) q[0];
ry(-0.0147) q[1];
ry(0.609) q[2];
ry(0.5978) q[3];
ry(-0.0265) q[4];
ry(0.5961) q[5];
ry(0.5828) 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(0.0076) q[0];
ry(0.0024) q[1];
ry... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -9.249999999968587, "params": null, "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 24, "probabilities": [0.4999999999968046, 0.4999999999968046], "optimization_time": 18.612651586532593} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10111110", "11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[7];
ry(-1.5708) q[0];
ry(-1.5681) q[5];
ry(-1.5681) q[3];
ry(-1.5706) q[4];
ry(-1.5708) q[6];
ry(-1.5681) q[2];
cry(-0.0027) q[7], q[3];
cry(-0.0027) q[7], q[5];
cry(-0.0027) q[7], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
a6f2ec57af099b3bb5cc46b59481f5f7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"source": 4, "target": 8}, {"source": 5, "target": 8}, {"sour... | {"states": [255, 127], "expectation_value": -16.002345611412792, "params": [[[1.5772000000000002, 0.0029000000000000002], [0.0025, 0.007500000000000001], [-0.0039000000000000003, 0.001], [0.0022, 0.0035], [0.0023, 0.00030000000000000003], [-0.0026000000000000003, 0.0032], [0.0024000000000000002, 0.0014], [3.1619, 0.009... | -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + -2.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(3)) + -2.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * ... | 2 | 8 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.5772) q[0];
rz(0.0029) q[0];
rx(0.0025) q[1];
rz(0.0075) q[1];
rx(-0.0039) q[2];
rz(0.001) q[2];
rx(0.0022) q[3];
rz(0.0035) q[3];
rx(0.0023) q[4];
rz(0.0003) q[4];
rx(-0.0026) q[5];
rz(0.0032) q[5];
rx(0.0024) q[6];
rz(0.0014) q[6];
rx(3.1619) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 1} | {"circuits": [], "gradients": []} |
28b6a4ab313db94d987523ad340731c4 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 4, "target": 5}, {"sour... | {"states": [224, 252], "expectation_value": -9.880093158235468, "params": null, "bitstrings": ["00011111", "00000011"], "total_optimization_steps": 68, "probabilities": [0.12364609153887551, 0.6288799747779308], "optimization_time": 60.368122577667236} | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + -1.0 * Z(7) + -1.0 * Z(6) | 5 | 8 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000011"]} | 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[4], q[5];
cry(1.5708) q[5], q[3];
cry(1.2536) q[3], q[4];
cry(0.4771) q[3], q[5];
cry(1.5681) q[1], q[2];
ry(1.0829) q[1];
cry(1.5701) q[2], q[0];
ry(0.3995) q[2];
ry(-1.5681) q[6];
... | null | {"node": 6} | {"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[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
53d33cb4ccb5557b4d8aeafa4d7797ea | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 6, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -37.99794044522934, "params": [-0.0037, 0.1963, -0.0022, 0.21100000000000002, -0.0063, 0.1839, 0.00030000000000000003, 0.2371, 0.2998, 0.0029000000000000002, 0.30560000000000004, 0.0022, -0.0001, 0.19870000000000002, -0.0092, 0.2371, -0.0001, 0.24580000000000002, -0.0057, 0.230... | -1.5 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(0)) + -1.0 * (Z(8) @ Z(3)) + -1.75 * (Z(8) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -1.0 * (Z(6) @ Z(4)) + -2.25 * (Z(6) @ Z(8)) + -0.75 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(4)) + -1.0 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(9) @ ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-38.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.75, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0037) q[0];
rz(0.1963) q[0];
rx(-0.0063) q[1];
rz(0.1839) q[1];
rx(0.2998) q[2];
rz(0.0029) q[2];
rx(-0.0001) q[3];
rz(0.1987) q[3];
rx(-0.0001) q[4];
rz(0.2458) q[4];
rx(-0.0016) q[5];
rz(0.2277) q[5];
rx(-0.0013) q[6];
rz(0.2404) q[6];
rx(-0.0031) 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... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
d39b9b7636e879ee1b77d25b4b82c559 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [461, 205], "expectation_value": -97.01247294662952, "params": [[[1.0914000000000001, 0.09620000000000001], [0.0664, 0.09290000000000001], [-0.0058000000000000005, 0.4475], [0.3704, 0.8933000000000001], [1.105, 0.6486000000000001], [1.1047, 0.3327], [0.0574, 0.4652], [-0.31720000000000004, 0.88], [0.1278, 1.... | 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(3) @ Z(5)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(8) @ Z(5)) + 7.5 * (Z(8) @ Z(7)) + 7.5 * (Z(10) @ Z(5)) + 7.5 * (Z(10) @ Z(8)) + 7.5 * (Z(11) @ Z(10)) + 7.5 * (Z(2) @ Z(11)) + 7.5 * (Z(9) @ Z(10)) + 7.5 * (Z(9) @ Z(11)) + 7.5 * (Z(6) @ Z(9)) + 21.5 * Z(5) + 15.0 * Z(4) +... | 15 | 12 | 2 | {"smallest_eigenvalues": [-144.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -124.0, "smallest_bitstrings": ["111100110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.0914) q[0];
ry(0.0664) q[1];
ry(-0.0058) q[2];
ry(0.3704) q[3];
ry(1.105) q[4];
ry(1.1047) q[5];
ry(0.0574) q[6];
ry(-0.3172) q[7];
ry(0.1278) q[8];
ry(0.2605) q[9];
ry(0.1423) q[10];
ry(-0.9661) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
4a91a077ff2f7d491515cae96edb7c37 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [222, 118], "expectation_value": -65.55359675101641, "params": [[[0.0027, -0.0027], [-1.5673000000000001, 1.5738], [-1.5063, 1.5724], [1.5685, 1.5732000000000002], [-0.6447, 1.5684], [1.5689000000000002, 1.5688], [0.1532, 1.5728], [0.0689, -0.024200000000000003], [-0.0023, 0.23600000000000002]]], "bitstrings... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(3)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(5) @ Z(2)) + 7.0 * (Z(5) @ Z(3)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(7) @ Z(8)) + 1.0 * Z(1) + 9.5 * Z(2) + 20.5 * Z(3) + -5.5 * Z(0) + 22... | 15 | 9 | 1 | {"smallest_eigenvalues": [-101.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.5, "smallest_bitstrings": ["110001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0027) q[0];
ry(-1.5673) q[1];
ry(-1.5063) q[2];
ry(1.5685) q[3];
ry(-0.6447) q[4];
ry(1.5689) q[5];
ry(0.1532) q[6];
ry(0.0689) q[7];
ry(-0.0023) 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]... | OPENQASM 3.0;
include "stdgates.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_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
0a88b29c6d69b583bcda2e7f0e1608b8 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -14.254064662624561, "params": [-0.00030000000000000003, -0.1255, -0.0021000000000000003, -0.0978, -0.0024000000000000002, -0.22, -0.0047, -0.2194, -0.004200000000000001, -0.21450000000000002, -0.0034000000000000002, -0.2101, -0.004, -0.2152, -0.0021000000000000003, -0.2148000000... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(0)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(1)) + -1.5 * (Z(7) @ Z(3)) + -1.25 * (Z(8) @ Z(1)) + 3.0 * (Z(8) @ Z(0)) + -1.25 * (Z(6) @ Z(1)) + -1.75 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(... | 5 | 9 | 3 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0003) q[0];
rz(-0.1255) q[0];
rx(-0.0024) q[1];
rz(-0.22) q[1];
rx(-0.0042) q[2];
rz(-0.2145) q[2];
rx(-0.004) q[3];
rz(-0.2152) q[3];
rx(-0.0006) q[4];
rz(-0.2227) q[4];
rx(-0.0057) q[5];
rz(-0.2082) q[5];
rx(-0.003) q[6];
rz(-0.2233) q[6];
rx(-0.0023) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
8ae64e05573d8ac113ed24515eacab5d | 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": [111, 107], "expectation_value": -72.2587617319819, "params": [0.5008, 0.2861, 0.0925, -0.4867, 0.0038, 0.5282, 0.5219, 0.38730000000000003, 1.0989, 0.1696, 1.1109, 0.0007, 0.0034000000000000002, 0.7549, 1.103, 0.008, 0.7504000000000001, 0.33640000000000003, 1.102, 0.1519, 1.1098000000000001, -0.002900000000... | 8.0 * (Z(0) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(1) @ Z(5)) + 8.0 * (Z(6) @ Z(5)) + 8.0 * (Z(9) @ Z(4)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(8) @ Z(9)) + 8.0 * (Z(7) @ Z(3)) + 8.0 * (Z(7) @ Z(9)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(2) @ Z(10)) + 16.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(3) + 10.0 * Z(5) + -3.0 * Z(1) + -7.5 * Z(... | 16 | 11 | 2 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.0, "smallest_bitstrings": ["11110010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.5008) q[0];
rz(0.2861) q[0];
rx(0.0925) q[1];
rz(-0.4867) q[1];
rx(0.0038) q[2];
rz(0.5282) q[2];
rx(0.5219) q[3];
rz(0.3873) q[3];
rx(1.0989) q[4];
rz(0.1696) q[4];
rx(1.1109) q[5];
rz(0.0007) q[5];
rx(0.0034) q[6];
rz(0.7549) q[6];
rx(1.103) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
6ce86fd90cfcfc8619e1d79aa454f77b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [0, 1], "expectation_value": -8.36062036111584, "params": [0.0032, 0.49470000000000003, 0.0033, 0.2773, 0.0027, 0.5963, 0.0029000000000000002, 0.6003000000000001, 0.0023, 0.43520000000000003, 0.0024000000000000002, 0.5983, -0.0016, 0.014400000000000001, 0.0024000000000000002, 0.5942000000000001, 0.8032, 0.00... | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @... | 4 | 9 | 2 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0032) q[0];
rz(0.4947) q[0];
rx(0.0033) q[1];
rz(0.2773) q[1];
rx(0.0027) q[2];
rz(0.5963) q[2];
rx(0.0029) q[3];
rz(0.6003) q[3];
rx(0.0023) q[4];
rz(0.4352) q[4];
rx(0.0024) q[5];
rz(0.5983) q[5];
rx(-0.0016) q[6];
rz(0.0144) q[6];
rx(0.0024) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
5894766706626609507 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 2], [1, 6], [2, 4], [1, 4], [3, 5], [2, 6], [0, 1], [3, 6], [2, 3], [5, 6]]} | {"states": [50, 77], "expectation_value": -0.09644426441437035, "params": [[-0.0712], [0.0692]], "bitstrings": ["1001101", "0110010"], "total_optimization_steps": 10, "probabilities": [0.009077092286475592, 0.009077092286475592], "optimization_time": 0.541579008102417} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0110010", "1001101"]} | 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(-0.0712) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.0712) q[1];
cx q[0], q[1];
cx q[2], q[6];
rz(-0.0712) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(-0.0712) q[6];
cx q[1], q[6];
cx q[2], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[2], q[6];
rz(x0) q[6];
cx q[2], q[6];
cx q[1], q[6];
... | null | {"circuits": [], "gradients": []} |
aa7d7207794ebe4415ef692308a5e5fc | 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": 7}, {"capacity": 4, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -26.432385010357493, "params": [[[0.0143, 0.0434], [0.0499, -0.40090000000000003], [0.0021000000000000003, -0.0182], [0.0029000000000000002, 0.0029000000000000002], [0.0025, 0.0021000000000000003], [0.0027, 0.0024000000000000002], [0.003, 0.0026000000000000003], [0.00340000000... | -0.75 * (Z(0) @ Z(8)) + -1.0 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -1.5 * (Z(2) @ Z(8)) + 2.5 * (Z(2) @ Z(0)) + -0.25 * (Z(2) @ Z(10)) + -1.5 * (Z(1) @ Z(8)) + -1.0 * (Z(1) @ Z(10)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(3) @ Z(8)) + -0.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z... | 15 | 11 | 4 | {"smallest_eigenvalues": [-28.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0143) q[0];
ry(0.0499) q[1];
ry(0.0021) q[2];
ry(0.0029) q[3];
ry(0.0025) q[4];
ry(0.0027) q[5];
ry(0.003) q[6];
ry(0.0034) q[7];
ry(0.0028) q[8];
ry(-0.0396) q[9];
ry(-0.0356) 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": []} |
95afacefd1d05ffe5f924c1452decfea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 2, "source": 2, "target": 3}, {"weight": 18, "sourc... | {"states": [13, 77], "expectation_value": -23.58747933015404, "params": [0.0024000000000000002, 0.006900000000000001, 0.9636, 0.001, 1.6007, 0.0032, 0.9939, 0.0026000000000000003, 0.0071, 0.01, 1.6056000000000001, 0.0094, 1.6025, 0.0011, 0.7663000000000001, 0.003, 1.605, 0.0066, 0.0046, 0.0094, 0.0088, 0.007, 0.0049, 0... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -6.5 * Z(1) + -10.0 * Z(0) + -4.0 * Z(3) + -1.0 * Z(2) + -7.0 * Z(4) + 1.5 * Z(5) + -2.0 * Z(6) + -4... | 3 | 9 | 1 | {"smallest_eigenvalues": [-54.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.0, "smallest_bitstrings": ["110110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0024) q[0];
rz(0.0069) q[0];
rx(0.9636) q[1];
rz(0.001) q[1];
rx(1.6007) q[2];
rz(0.0032) q[2];
rx(0.9939) q[3];
rz(0.0026) q[3];
rx(0.0071) q[4];
rz(0.01) q[4];
rx(1.6056) q[5];
rz(0.0094) q[5];
rx(1.6025) q[6];
rz(0.0011) q[6];
rx(0.7663) q[7];
rz(0.003... | OPENQASM 3.0;
include "stdgates.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\": 9}"} | {"circuits": [], "gradients": []} |
5bfd79024282ae69c62758a244a2de56 | 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": 5}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [22, 7], "expectation_value": -6.469703483465283, "params": [0.084, 0.3173, -0.0364, 0.2964, 0.4797, 0.2877, 0.255, 0.31520000000000004, 0.4122, 0.3393, 0.2131, 0.3609, 0.508, 0.0949, 0.6559, 0.2147, 0.5031, 0.09190000000000001, 0.6524, 0.2086, 0.49720000000000003, 0.1302, 0.4234, 0.13240000000000002, -0.027... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (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)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 1.75 * (Z(5) @ Z(3)) + 1.75 * ... | 5 | 6 | 3 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.084) q[0];
rz(0.3173) q[0];
rx(0.4797) q[1];
rz(0.2877) q[1];
rx(0.4122) q[2];
rz(0.3393) q[2];
rx(0.508) q[3];
rz(0.0949) q[3];
rx(0.5031) q[4];
rz(0.0919) q[4];
rx(0.4972) q[5];
rz(0.1302) q[5];
crz(-0.3054) q[5], q[4];
crz(-0.3121) q[5], q[3];
crz(0.21... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
c5aa289d2d34be7b0922b4fb4be4f7b1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capac... | {"states": [65, 67], "expectation_value": -13.591217466056657, "params": [0.006200000000000001, 0.2732, 0.0038, 0.322, -0.0011, 0.3183, -0.0064, 0.3179, -0.001, 0.2406, 0.00030000000000000003, 0.309, 0.3649, 0.08220000000000001, 0.3673, 0.0222, -0.0007, 0.38330000000000003, -0.0014, 0.3841, -0.0023, 0.3481, 0.003100000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(4)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(2... | 7 | 10 | 4 | {"smallest_eigenvalues": [-13.75, -13.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.75, "smallest_bitstrings": ["1110111100", "1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0062) q[0];
rz(0.2732) q[0];
rx(-0.0011) q[1];
rz(0.3183) q[1];
rx(-0.001) q[2];
rz(0.2406) q[2];
rx(0.3649) q[3];
rz(0.0822) q[3];
rx(-0.0007) q[4];
rz(0.3833) q[4];
rx(-0.0023) q[5];
rz(0.3481) q[5];
rx(0.0011) q[6];
rz(0.3758) q[6];
rx(0.002) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 17.575026750564575} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"]} | 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];
cry(1.57) q[1], q[2];
ry(0.9551) q[1];
ry(0.4501) q[2];
cry(1.5542) q[1], q[3];
cry(0.342) q[2], q[1];
cry(1.3456) q[3], q[4];
cry(-1.4668) q[4], q[0];
cry(0.0716) q[3], q[2];
cry(0.1588) q[1], q[4];
ry(-0.0592) q[3];
cr... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... |
bd93bde5e767772200a1d39b0575c595 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 8}, {"capac... | {"states": [0, 3], "expectation_value": -14.761266213463674, "params": [0.0017000000000000001, 0.0064, -0.0027, 0.007500000000000001, -0.0027, 0.0088, -0.0024000000000000002, 0.0095, -0.0025, 0.0031000000000000003, -0.0025, 0.0043, -0.0027, 0.0012000000000000001, -0.0019, 0.8071, 0.38870000000000005, 0.0009000000000000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(8) @ Z(0)) + -1.0 * (Z(9) @ Z(1)) + 2.5 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(8)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @... | 4 | 10 | 1 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0017) q[0];
rz(0.0064) q[0];
rx(-0.0027) q[1];
rz(0.0075) q[1];
rx(-0.0027) q[2];
rz(0.0088) q[2];
rx(-0.0024) q[3];
rz(0.0095) q[3];
rx(-0.0025) q[4];
rz(0.0031) q[4];
rx(-0.0025) q[5];
rz(0.0043) q[5];
rx(-0.0027) q[6];
rz(0.0012) q[6];
rx(-0.0019) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
a38675d53d722227ef740a74a5426a27 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [58, 56], "expectation_value": -2.63780194296267, "params": [0.47850000000000004, -0.0723, 0.6086, -0.0039000000000000003, 0.5527000000000001, -0.021400000000000002, 0.5804, -0.0024000000000000002, -0.0205, 0.37620000000000003, 0.5143, 0.3302, 0.0028, 0.35810000000000003, 0.4766, -0.0726, 0.6048, -0.002, 0.5... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(6) + -1.5 * Z(4) + 0.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(5) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1010110", "1000111", "0001111", "1010101", "0011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4785) q[0];
rz(-0.0723) q[0];
rx(0.6086) q[1];
rz(-0.0039) q[1];
rx(0.5527) q[2];
rz(-0.0214) q[2];
rx(0.5804) q[3];
rz(-0.0024) q[3];
rx(-0.0205) q[4];
rz(0.3762) q[4];
rx(0.5143) q[5];
rz(0.3302) q[5];
rx(0.0028) q[6];
rz(0.3581) q[6];
crz(0.3789) 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": []} |
95cd968028de95e9bd1f0d835e513284 | 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": 2, "target": 5}, ... | {"states": [207, 206], "expectation_value": -1.2034534595043964, "params": [0.5925, 0.0046, 2.0109, 0.008, 2.004, 0.0033, 0.1637, 0.0046, 0.154, 0.0045000000000000005, 2.0106, 0.0045000000000000005, 1.9964000000000002, 0.0061, 1.7862, 0.0082, 1.4703000000000002, 0.0091, 0.0081, 0.005, 0.0059, 0.0073, 0.0085, 0.00060000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(8) @ Z(1)) + 0.125 * (Z(5) @ Z(6)) + 0.125 * (Z(5) @ Z(8)) + 0.125 * (Z(8... | 16 | 9 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["100011010", "100011001", "001011010", "010110010", "101100100", "101011000", "010011010", "100110001",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5925) q[0];
rz(0.0046) q[0];
rx(2.0109) q[1];
rz(0.008) q[1];
rx(2.004) q[2];
rz(0.0033) q[2];
rx(0.1637) q[3];
rz(0.0046) q[3];
rx(0.154) q[4];
rz(0.0045) q[4];
rx(2.0106) q[5];
rz(0.0045) q[5];
rx(1.9964) q[6];
rz(0.0061) q[6];
rx(1.7862) q[7];
rz(0.008... | OPENQASM 3.0;
include "stdgates.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": []} |
3320932589923452721 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3], [3, 5], [1, 6], [1, 5], [1, 7], [3, 6], [0, 4], [0, 6], [5, 6], [2, 6], [1, 2], [3, 7], [4, 5]]} | {"states": [92, 90], "expectation_value": -3.651143141522507, "params": null, "bitstrings": ["10100011", "10100101"], "total_optimization_steps": 73, "probabilities": [0.04277332360532153, 0.693983911649625], "optimization_time": 101.96211791038513} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011010", "10100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[3], q[7];
ry(1.0293) q[3];
cry(1.4052) q[3], q[1];
cry(-0.9035) q[1], q[7];
cry(-0.7688) q[3], q[6];
cry(-1.1622) q[4], q[5];
cry(0.3185) q[1], q[3];
cry(-1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[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] = me... |
1e41cb0e7eb07690a13da41b97e8bdd1 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -24.504546179091538, "params": [[[-0.0029000000000000002, -0.0378], [0.0004, -0.0016], [0.0114, 0.0022], [0.0031000000000000003, 0.0022], [0.0036000000000000003, 0.002], [0.006200000000000001, 0.002], [0.0071, 0.0021000000000000003], [0.0009000000000000001, 0.0023], [0.0021... | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(0)) + -2.25 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(1)) + -1.25 * (Z(8) @ Z(7)) + -1.0 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + -1.0 * (Z(4) @ Z(3)) + 0.75 * (Z(2) @ Z(0)) + -1.25 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-25.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0029) q[0];
ry(0.0004) q[1];
ry(0.0114) q[2];
ry(0.0031) q[3];
ry(0.0036) q[4];
ry(0.0062) q[5];
ry(0.0071) q[6];
ry(0.0009) q[7];
ry(0.0021) q[8];
ry(0.003) q[9];
ry(1.5833) 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": []} |
4728753714720583878 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[8, 11], [9, 10], [8, 7], [10, 7], [11, 4], [8, 5], [0, 9], [8, 3], [10, 6], [9, 5], [11, 7], [8, 9], [1, 11], [0, 2]]} | {"states": [2452, 821], "expectation_value": -1.6975131666375685, "params": [[[1.3995, 0.00030000000000000003], [-0.8956000000000001, 1.3958000000000002], [1.3907, 1.3955], [1.3920000000000001, -0.0785], [1.3935, 1.3961000000000001], [1.3966, -0.1005], [-1.0016, 1.4009], [0.1762, 0.9922000000000001], [1.4056, 1.4004], ... | 0.5 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(7) @ Z(11)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(10)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(0) @ Z(9)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(10)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(2) @ Z(0)) + 0.0 *... | 15 | 12 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -4.0, "smallest_bitstrings": ["011010111100", "001101110101", "011110110100", "001100110101", "011111110100", "100000001011", "110011001010", "100001001011", "110010001010... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.3995) q[0];
ry(-0.8956) q[1];
ry(1.3907) q[2];
ry(1.392) q[3];
ry(1.3935) q[4];
ry(1.3966) q[5];
ry(-1.0016) q[6];
ry(0.1762) q[7];
ry(1.4056) q[8];
ry(0.7539) q[9];
ry(0.6983) q[10];
ry(1.4038) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7494574309123452668 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 1], [5, 7], [3, 6], [3, 5], [1, 5], [5, 6], [1, 4], [0, 4], [0, 2], [6, 7], [1, 7], [4, 6], [1, 6], [2, 6], [0, 3]]} | {"states": [57, 61], "expectation_value": -3.608292622867768, "params": null, "bitstrings": ["11000110", "11000010"], "total_optimization_steps": 66, "probabilities": [0.0675606229645946, 0.7696415413522651], "optimization_time": 111.81672286987305} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["00111001", "11000110", "01111001", "00111101", "11000010", "10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[4], q[0];
ry(1.0293) q[4];
cry(1.4052) q[4], q[3];
cry(-0.9035) q[3], q[0];
cry(1.5176) q[3], q[2];
cry(-0.8573) q[3], q[6];
ry(1.3537) q[7];
cry(-1.4592) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[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] = me... |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [6, 7], "expectation_value": -0.2862464767849584, "params": [[[1.3871, 0.0077], [1.3909, 0.0057], [1.381, 0.006200000000000001], [1.6005, 0.006200000000000001], [1.603, 0.0068000000000000005], [1.5946, 0.0044]]], "bitstrings": ["111001", "111000"], "total_optimization_steps": 160, "probabilities": [0.0268645... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.3871) q[0];
rz(0.0077) q[0];
rx(1.3909) q[1];
rz(0.0057) q[1];
rx(1.381) q[2];
rz(0.0062) q[2];
rx(1.6005) q[3];
rz(0.0062) q[3];
rx(1.603) q[4];
rz(0.0068) q[4];
rx(1.5946) q[5];
rz(0.0044) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure 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[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
... | {"k": 3} | {"circuits": [], "gradients": []} |
9c42d64a7466ccf874275fc8844c2c25 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, ... | {"states": [183, 182], "expectation_value": -2.2778813843511543, "params": [-0.0073, 0.0007, 0.5023, 0.49660000000000004, 0.2602, 0.2534, 0.5026, 0.5071, 0.5016, 0.5007, -0.0007, -0.0033, 0.5055000000000001, 0.5067, 0.5023, 0.5, 0.3195, 0.3027, -0.0, -0.005, 0.5049, 0.5007, 0.24730000000000002, 0.22510000000000002, 0.5... | 0.5 * (Z(2) @ Z(1)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(1) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(5) @ Z(6)) + -0.0625 * (Z(3) @ Z(4) @ Z(1)) + -0.0625 * (Z(3)... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.8125, -3.8125, -3.8125, -3.8125], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.8125, "smallest_bitstrings": ["110001001", "101101000", "101001010", "101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0073) q[0];
ry(0.5023) q[1];
ry(0.2602) q[2];
ry(0.5026) q[3];
ry(0.5016) q[4];
ry(-0.0007) q[5];
ry(0.5055) q[6];
ry(0.5023) q[7];
ry(0.3195) q[8];
crx(0.0008) q[8], q[0];
crx(-0.0148) q[7], q[8];
crx(0.256) q[6], q[7];
crx(0.3342) q[5], q[6];
crx(-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": []} |
1536b63d241483fb5dc02588be4ba19b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [110, 430], "expectation_value": -2.3969045535554807, "params": [[[-0.0014, -0.2013, 0.004, 0.0064], [0.17350000000000002, 0.4093, 0.0868, 0.4025], [0.2023, -0.2818, 0.1535, -0.39280000000000004], [0.0582, -0.38130000000000003, 0.4358, -0.28240000000000004], [0.4142, 0.0631, -0.3972, -0.2151], [0.19190000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(2) @ Z(6)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(7)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(6) @ Z(7)) + -0.0625 * (Z(4) @ Z(5) @ Z... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.4375, "smallest_bitstrings": ["1011000001", "1010010001", "1110000001", "1001010001", "0110100001", "1001100001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0014) q[0];
rz(-0.2013) q[0];
ry(0.1735) q[1];
rz(0.4093) q[1];
ry(0.2023) q[2];
rz(-0.2818) q[2];
ry(0.0582) q[3];
rz(-0.3813) q[3];
ry(0.4142) q[4];
rz(0.0631) q[4];
ry(0.1919) q[5];
rz(-0.2189) q[5];
ry(0.1463) q[6];
rz(-0.3355) q[6];
ry(0.0564) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.110464502635276, "params": [0.4877, -0.16240000000000002, 0.005, 0.6883, -0.003, 0.8135, -0.0002, -0.8196, -0.0057, -0.882, -0.00030000000000000003, 0.9461, 0.0007, 0.7003, -0.0024000000000000002, 0.9278000000000001, 1.0485, 0.0132, 1.1193, 0.3225, 0.0966, 1.0123, 0.0044,... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 3 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.4877) q[0];
rz(-0.1624) q[0];
rx(0.005) q[1];
rz(0.6883) q[1];
rx(-0.003) q[2];
rz(0.8135) q[2];
rx(-0.0002) q[3];
rz(-0.8196) q[3];
rx(-0.0057) q[4];
rz(-0.882) q[4];
rx(-0.0003) q[5];
rz(0.9461) q[5];
rx(0.0007) q[6];
rz(0.7003) q[6];
rx(-0.0024) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [1, 0], "expectation_value": -1.7499936741746274, "params": [-0.0007, 0.006200000000000001, -0.0018000000000000002, 0.003, -0.0046, 0.0027, 0.0048000000000000004, 0.0081, 0.0048000000000000004], "bitstrings": ["110", "111"], "total_optimization_steps": 10, "probabilities": [5.348673311292624e-06, 0.999993674... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 18 | 3 | 1 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(-0.0007) q[0];
rz(0.0062) q[0];
rx(-0.0018) q[1];
rz(0.003) q[1];
rx(-0.0046) q[2];
rz(0.0027) q[2];
crz(0.0048) q[2], q[0];
crz(0.0048) q[1], q[2];
crz(0.0081) q[0], q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
crz(x6) q[2], q[0];
cr... | null | {"circuits": [], "gradients": []} |
f20b14ccaf46fd91ed39b9c05edbe906 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 1, "target"... | {"states": [14263, 14261], "expectation_value": -9.273110165291575, "params": [[[0.21960000000000002, 0.38470000000000004], [0.7855000000000001, 0.0015], [0.7878000000000001, -0.0016], [0.1951, -0.38020000000000004], [0.7807000000000001, -0.0031000000000000003], [0.7862, 0.0026000000000000003], [0.7838, -0.0027], [0.72... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 4 | {"smallest_eigenvalues": [-10.249999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.249999999999936, "smallest_bitstrings": ["100100001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.2196) q[0];
rz(0.3847) q[0];
rx(0.7855) q[1];
rz(0.0015) q[1];
rx(0.7878) q[2];
rz(-0.0016) q[2];
rx(0.1951) q[3];
rz(-0.3802) q[3];
rx(0.7807) q[4];
rz(-0.0031) q[4];
rx(0.7862) q[5];
rz(0.0026) q[5];
rx(0.7838) q[6];
rz(-0.0027) q[6];
rx(0.7267) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
081a3ef2a02910794db9cb14b9d27e2c | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}]} | {"states": [14318, 14190], "expectation_value": -7.909765574926057, "params": [0.1077, 0.6266, 1.5071, -0.0061, 1.5656, -0.0029000000000000002, 0.1072, 0.6854, 1.6669, 0.0246, 1.5123, -0.0427, 1.0078, 0.1067, 1.0202, -0.010100000000000001, 1.4079000000000002, -0.0396, 1.5676, -0.0085, 0.2677, 0.778, 1.4801, 0.0813, 1.3... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 4 | 15 | 2 | {"smallest_eigenvalues": [-8.749999999999979], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999964, "smallest_bitstrings": ["100100010010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.1077) q[0];
rz(0.6266) q[0];
rx(1.5071) q[1];
rz(-0.0061) q[1];
rx(1.5656) q[2];
rz(-0.0029) q[2];
rx(0.1072) q[3];
rz(0.6854) q[3];
rx(1.6669) q[4];
rz(0.0246) q[4];
rx(1.5123) q[5];
rz(-0.0427) q[5];
rx(1.0078) q[6];
rz(0.1067) q[6];
rx(1.0202) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
8b86b8c78e12bc4605ea690d344857fc | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [887, 885], "expectation_value": -1.7233024070576135, "params": [0.6855, 0.0027, 2.5012000000000003, 0.0053, 1.9152, 0.0094, 0.6712, 0.0098, 2.5047, 0.0046, 2.1728, 0.0077, 2.5046, 0.0032, -0.0018000000000000002, 0.0067, 2.5066, 0.0002, 1.4954, 0.0044, 2.5093, 0.0032, 0.0047, 0.0051, 0.0014, 0.0071, 0.0083, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(8)) + 0.25 * (Z(3) @ Z(8)) + -0.25 * (Z(0) @ Z(3) @ Z(8)) ... | 18 | 11 | 1 | {"smallest_eigenvalues": [-3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375, -3.4375], "number_of_smallest_eigenvalues": 25, "first_excited_energy": -2.437... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6855) q[0];
rz(0.0027) q[0];
rx(2.5012) q[1];
rz(0.0053) q[1];
rx(1.9152) q[2];
rz(0.0094) q[2];
rx(0.6712) q[3];
rz(0.0098) q[3];
rx(2.5047) q[4];
rz(0.0046) q[4];
rx(2.1728) q[5];
rz(0.0077) q[5];
rx(2.5046) q[6];
rz(0.0032) q[6];
rx(-0.0018) 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": []} |
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