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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
3e4d650699fe53f4a923a699796ce209 | 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}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [126, 94], "expectation_value": -57.80905137510202, "params": [0.0034000000000000002, 0.752, 1.075, -0.0897, 0.4822, -0.2818, 1.0655000000000001, -0.0017000000000000001, 1.0682, 0.0412, 1.0645, 0.0013000000000000002, 1.0707, 0.25370000000000004, 0.3437, 0.5118, 0.0009000000000000001, 0.7569, 1.0749, -0.0775,... | 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(2) @ Z(5)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(3) @ Z(5)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + -3.0 * Z(0) + 10.0 * Z(1) + 16.0 * Z(5) + 12.5 * Z(4) + 13.5 * Z(2) + 19.5 * Z... | 18 | 8 | 3 | {"smallest_eigenvalues": [-64.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0034) q[0];
rz(0.752) q[0];
rx(1.075) q[1];
rz(-0.0897) q[1];
rx(0.4822) q[2];
rz(-0.2818) q[2];
rx(1.0655) q[3];
rz(-0.0017) q[3];
rx(1.0682) q[4];
rz(0.0412) q[4];
rx(1.0645) q[5];
rz(0.0013) q[5];
rx(1.0707) q[6];
rz(0.2537) q[6];
rx(0.3437) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
184be31d5cef7a0df96adb60f009b8f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [42, 26], "expectation_value": -4.496515541748614, "params": null, "bitstrings": ["1010101", "1100101"], "total_optimization_steps": 24, "probabilities": [0.06700896507646317, 0.9297460583128401], "optimization_time": 18.717585802078247} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -1.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(6) + -0.5 * Z(1) + 0.0 * Z(5) | 1 | 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": ["0011101", "1010101", "1011001", "1100101", "1100110"]} | 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[0];
ry(-1.5681) q[4];
ry(-1.4449) q[6];
ry(1.4449) q[3];
ry(1.4417) q[5];
cry(-1.0398) q[2], q[1];
ry(0.7022) q[2];
ry(-0.4578) q[1];
cry(0.497) q[3], q[2];
cry(-0.3761) q[3], q[1];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
fcba12f78dbb04a944afdfe31d032329 | 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": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [192, 65], "expectation_value": -8.757710758125171, "params": null, "bitstrings": ["00111111", "10111110"], "total_optimization_steps": 29, "probabilities": [0.14460675854263316, 0.8514784116344465], "optimization_time": 33.52521514892578} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.5681) q[7], q[0];
ry(1.1478) q[7];
ry(-1.5681) q[5];
ry(-1.5681) q[4];
ry(-1.5708) q[2];
ry(-1.5708) q[3];
ry(-0.5851) q[0];
ry(-1.3828) q[6];
ry(1.3535) q[1];
cry(0.3133) q[1], q[7];
cry(-... | 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];\ncry(-1.5681) q[7], 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] = me... |
10b46313f5ba69fed433ce41b4ff5c0d | 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}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"sour... | {"states": [255, 127], "expectation_value": -0.6972030777693958, "params": [[0.060500000000000005], [-0.0487]], "bitstrings": ["00000000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.0051416717414485376, 0.005202524902735193], "optimization_time": 2.3833377361297607} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + -0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(-0.242) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.121) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.3025) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.242) q[4];
cx q[2], q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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]... | {"node": 0} | {"circuits": [], "gradients": []} |
22a94de1002e0d6d41a3223e7d8b4569 | 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": 9, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 7}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [391, 230], "expectation_value": -20.369393794837368, "params": [[-0.027200000000000002, 0.0455, 0.0145], [0.0443, -0.0465, -0.050100000000000006]], "bitstrings": ["001111000", "100011001"], "total_optimization_steps": 10, "probabilities": [0.005653290858697234, 0.00654983408458509], "optimization_time": 14.... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(6) @ Z(1)) + 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(8) @ Z(2)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 16.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-81.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.5, "smallest_bitstrings": ["100011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.2448) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2448) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2448) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(-0.2448) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
b2a86e79e509d0d76748a475959a4d60 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [116, 86], "expectation_value": -4.499864026544098, "params": null, "bitstrings": ["0001011", "0101001"], "total_optimization_steps": 32, "probabilities": [1.6414164175804003e-05, 0.9999125885898585], "optimization_time": 24.311022758483887} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.4449) q[1];
ry(-1.4449) q[6];
ry(1.4449) q[0];
ry(1.4417) q[4];
ry(1.4417) q[5];
ry(1.4384) q[2];
cry(-0.1259) q[5], q[1];
cry(-0.1259) q[4], q[6];
cry(0.1248) q[0], q[2];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
c66868cece5db54e96ff4f9b7d9ede39 | 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": [1182, 1166], "expectation_value": -81.11219923464793, "params": [2.5064, 0.0097, 0.003, 0.006900000000000001, 0.0023, 0.007500000000000001, 2.503, 0.0008, 1.2546000000000002, 0.0091, 0.003, 0.008400000000000001, 1.494, 0.0037, 2.5020000000000002, 0.0054, 2.5064, 0.005200000000000001, 2.4984, 0.0077, -0.0018... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(0)) + 8.0 * (Z(4) @ Z(3)) + 8.0 * (Z(5) @ Z(8)) + 8.0 * (Z(6) @ Z(8)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(10) @ Z(9)) + -6.0 * Z(1) + 6.0 * Z(0) + 10.0 * Z(3) + 4.5 * Z(4) + 14.5 * Z(8) + -6.0 * Z(5) + 10.0 * Z(6) + 14.... | 18 | 11 | 1 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -104.5, "smallest_bitstrings": ["01101110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(2.5064) q[0];
rz(0.0097) q[0];
rx(0.003) q[1];
rz(0.0069) q[1];
rx(0.0023) q[2];
rz(0.0075) q[2];
rx(2.503) q[3];
rz(0.0008) q[3];
rx(1.2546) q[4];
rz(0.0091) q[4];
rx(0.003) q[5];
rz(0.0084) q[5];
rx(1.494) q[6];
rz(0.0037) q[6];
rx(2.502) q[7];
rz(0.005... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
c5d57071b024d109c38c43678d62eaf1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [6, 1], "expectation_value": -0.14191909684084728, "params": [[-0.0524], [0.0601]], "bitstrings": ["001", "110"], "total_optimization_steps": 10, "probabilities": [0.12876150923126017, 0.1383211784971734], "optimization_time": 1.664414882659912} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.131) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1572) q[2];
cx q[0], q[2];
rz(0.131) q[1];
rz(0.0262) q[0];
rz(-0.1572) q[2];
h q[0];
rz(0.1202) q[0];
h q[0];
h q[1];
rz(0.1202) q[1];
h q[1];
h q[2];
rz(0.1202) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
rz(x0) q[1];
rz(x2) q[0];
rz(x1) q[2];
h q[0];
rz(x3) q[0];
h q[0];
h ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
247ede82bbc36285f5765c81a230f94f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [510, 508], "expectation_value": -0.9306389745050364, "params": [[-0.0804], [0.0722]], "bitstrings": ["000000001", "000000011"], "total_optimization_steps": 10, "probabilities": [0.003031576031122661, 0.003037009468957379], "optimization_time": 2.3098719120025635} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(6)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(5) + -1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.2412) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3216) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3216) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0804) q[3];
cx q[1], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx... | {"node": 7} | {"circuits": [], "gradients": []} |
a6da0588e4f06076b5c2f06ef98c16c3 | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [97, 112], "expectation_value": -2.555142885394389, "params": [0.5086, 0.001, 0.5014000000000001, -0.0317, 0.5097, -0.047900000000000005, 0.5041, 0.0129, 0.496, -0.1768, 0.49050000000000005, -0.217, 0.1068, 0.30760000000000004, 0.0668, 0.3, -0.020300000000000002, 0.2743, -0.0228, 0.2679, -0.0177, 0.2787, -0.... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + -1.0 * Z(3) + 0.0 * Z(0) + -1.0 * Z(4) + -0.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(2) + -0.5 * Z(6) | 5 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -2.5, "smallest_bitstrings": ["0101011", "1000111", "1010110", "0011110", "0111100", "0111001", "0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5086) q[0];
rz(0.001) q[0];
rx(0.5097) q[1];
rz(-0.0479) q[1];
rx(0.496) q[2];
rz(-0.1768) q[2];
rx(0.1068) q[3];
rz(0.3076) q[3];
rx(-0.0203) q[4];
rz(0.2743) q[4];
rx(-0.0177) q[5];
rz(0.2787) q[5];
rx(0.5014) q[6];
rz(-0.1669) q[6];
crz(0.1427) 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": []} |
1c43c94da61f0edfd0d443bbe88c06e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 6}, {"capacity": 5, "s... | {"states": [510, 113], "expectation_value": -4.416765703705935, "params": [[0.1458], [-0.1366]], "bitstrings": ["000000001", "110001110"], "total_optimization_steps": 20, "probabilities": [0.006770872889055612, 0.00688268373270424], "optimization_time": 2.4680027961730957} | -1.25 * (Z(0) @ Z(5)) + -1.5 * (Z(7) @ Z(5)) + -1.0 * (Z(7) @ Z(0)) + -1.75 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(7)) + -1.0 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(7)) + -1.75 * (Z(3) @ Z(1)) + -1.0 * (Z(4) @ Z(7)) + -1.25 * (Z(4) @ Z(3)) + -1.75 * (Z(8) @ Z(5)) + 2.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.75, -16.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["110001110", "111001110"]} | 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[5], q[0];
rz(-0.3645) q[0];
cx q[5], q[0];
cx q[5], q[7];
rz(-0.4374) q[7];
cx q[5], q[7];
cx q[0], q[7];
rz(-0.2916) q[7];
cx q[0], q[7];
cx q[5], q[1];
rz(-0.5103) q[1];
cx q[5], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | hamiltonian_path | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 2}, {"weight": 7, "source": 1, "target": 2}]} | {"states": [1, 0], "expectation_value": -0.9999963636222439, "params": null, "bitstrings": ["0", "1"], "total_optimization_steps": 2, "probabilities": [1.8181888780401846e-06, 0.9999981818111219], "optimization_time": 0.1641216278076172} | -1.0 * Z(0) | 5 | 1 | 2 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": 1.0, "smallest_bitstrings": ["1"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[1] c;
qubit[1] q;
h q[0];
ry(-1.5681) q[0];
c[0] = measure q[0]; | null | {"start_node": 0, "end_node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[1] c;\nqubit[1] q;\nh q[0];\nry(-1.5681) q[0];\nc[0] = measure q[0];\n"], "gradients": [1.0, 0.001]} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_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": -0.8831399904840993, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 2.3020548820495605} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + -0.5 * Z(0) + -0.5 * Z(1) + -0.5 * Z(2) | 1 | 3 | 2 | {"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... |
e4cdc6bcf94181f6f6aa6dc310dcdb0a | 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": 8, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 6}, {"weight": 18, "source": 1, "target": 5}, {"weight": 8, "source... | {"states": [252, 220], "expectation_value": -66.1394079075553, "params": [0.1394, 0.11960000000000001, 0.6943, 0.038700000000000005, 0.8849, 0.018000000000000002, 1.0922, -0.44060000000000005, 1.0232, -0.2472, 0.9672000000000001, -0.047, 0.9358000000000001, 0.25620000000000004, 0.1973, -0.516, 0.0466, 0.5432, 0.1479, 0... | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(6)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(5)) + 16.0 * Z(2) + 4.0 * Z(0) + 14.0 * Z(1) + 10.0 * Z(4) + 9... | 4 | 9 | 3 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1394) q[0];
rz(0.1196) q[0];
rx(0.6943) q[1];
rz(0.0387) q[1];
rx(0.8849) q[2];
rz(0.018) q[2];
rx(1.0922) q[3];
rz(-0.4406) q[3];
rx(1.0232) q[4];
rz(-0.2472) q[4];
rx(0.9672) q[5];
rz(-0.047) q[5];
rx(0.9358) q[6];
rz(0.2562) q[6];
rx(0.1973) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
f2eb32800910ca6de162d5705c27a6b8 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 0, "target":... | {"states": [336, 340], "expectation_value": -6.3517985099836265, "params": [-0.002, 0.0011, 0.899, 0.9008, -0.006500000000000001, -0.0057, 0.9047000000000001, 0.911, 0.0026000000000000003, -0.0056, 0.8889, 0.897, 0.0707, -0.051800000000000006, 0.8621000000000001, 0.8483, -0.0422, 0.045000000000000005, 0.7053, 0.7089000... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.0, "smallest_bitstrings": ["1010101110", "1010101011", "0010111011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.002) q[0];
ry(0.899) q[1];
ry(-0.0065) q[2];
ry(0.9047) q[3];
ry(0.0026) q[4];
ry(0.8889) q[5];
ry(0.0707) q[6];
ry(0.8621) q[7];
ry(-0.0422) q[8];
ry(0.7053) q[9];
crx(0.0152) q[9], q[0];
crx(0.265) q[8], q[9];
crx(0.0154) q[7], q[8];
crx(0.8722) 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": []} |
ce32d04906c10b35aef772d26e0a291a | 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": 5, "source": 0, "target": 5}, {"capacity": 6, "source": 0, "target": 9}, {"capacity": 6, "source": 1, "target":... | {"states": [0, 256], "expectation_value": -25.04345238633095, "params": [-0.0015, 0.0098, 0.0025, 0.0067, 1.6144, 0.009300000000000001, 0.0025, 0.007200000000000001, 0.0027, 0.0076, 0.0023, 0.0097, 0.0022, 0.007, 0.0027, 0.0019, 0.0027, 0.0097, 0.0022, 0.00030000000000000003, 0.0027, 0.0082, 0.0049, 0.00960000000000000... | -1.25 * (Z(0) @ Z(6)) + -1.5 * (Z(10) @ Z(6)) + -1.5 * (Z(10) @ Z(0)) + -2.25 * (Z(5) @ Z(10)) + -2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(2) @ Z(0)) + -0.75 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(10)) + -0.5 * (Z(4)... | 3 | 11 | 1 | {"smallest_eigenvalues": [-26.0, -26.0, -26.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -25.0, "smallest_bitstrings": ["11001110111", "11011110111", "11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0015) q[0];
rz(0.0098) q[0];
rx(0.0025) q[1];
rz(0.0067) q[1];
rx(1.6144) q[2];
rz(0.0093) q[2];
rx(0.0025) q[3];
rz(0.0072) q[3];
rx(0.0027) q[4];
rz(0.0076) q[4];
rx(0.0023) q[5];
rz(0.0097) q[5];
rx(0.0022) q[6];
rz(0.007) q[6];
rx(0.0027) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
de837449b9b1ac221f958aa18f8b69de | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 6, "target": 7}]} | {"states": [119, 103], "expectation_value": -5.880767401685855, "params": [[[0.0023, 2.7123], [0.0028, -0.0018000000000000002], [1.6161, 0.0026000000000000003], [1.6459000000000001, -0.0025], [-0.0029000000000000002, -0.0028], [-0.0031000000000000003, -0.0028], [0.0021000000000000003, -0.0029000000000000002]]], "bitstr... | -1.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 0.5 * Z(0) + -1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 15 | 7 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["0011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0023) q[0];
ry(0.0028) q[1];
ry(1.6161) q[2];
ry(1.6459) q[3];
ry(-0.0029) q[4];
ry(-0.0031) q[5];
ry(0.0021) 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(2.7123) q[0];
ry(-0.0018) q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
ry(x0) q[0];
ry(x1... | {"node": 3} | {"circuits": [], "gradients": []} |
501477738601b9a56009fb34d8274268 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [32, 31], "expectation_value": -0.7985935357729006, "params": [[0.0695, 0.0729], [-0.0558, -0.0716]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.02367420854265425, 0.023965616646450895], "optimization_time": 2.647322177886963} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0348) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1738) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(-0.139) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.1738) q[4];
cx q[2], q[4];
cx q[0], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4c2eecb4ef38c9274f53d19369153e09 | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [857, 854], "expectation_value": -2.4939850177755387, "params": [[[0.2503, -0.029, 0.008400000000000001, 0.0073], [0.5743, 0.2109, 0.10110000000000001, 0.06570000000000001], [0.010400000000000001, 0.1655, -0.024300000000000002, 0.055400000000000005], [0.0148, 0.22080000000000002, 0.1298, 0.2064], [0.3035, -0... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(4... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.5, "smallest_bitstrings": ["0100100110", "0001111000", "0110100100", "1010100001", "0010100101", "0010101100", "0010101001", "001010... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2503) q[0];
rz(-0.029) q[0];
ry(0.5743) q[1];
rz(0.2109) q[1];
ry(0.0104) q[2];
rz(0.1655) q[2];
ry(0.0148) q[3];
rz(0.2208) q[3];
ry(0.3035) q[4];
rz(-0.0994) q[4];
ry(-0.0063) q[5];
rz(-0.325) q[5];
ry(0.2074) q[6];
rz(-0.0935) q[6];
ry(0.4338) 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": []} |
c22cec1796f2f52036673550667aae4b | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 2}, {"weight": 5, "source": 2, "targ... | {"states": [219, 218], "expectation_value": -30.568739663104044, "params": [[0.021400000000000002, 0.0041, -0.0097, 0.0077], [-0.0708, -0.065, -0.0443, -0.0473]], "bitstrings": ["100100100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.007089125332524755, 0.009219275961220486], "optimization_time":... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1926) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1926) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1926) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1926) q[3];
cx q[1], 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": []} |
253d3995de007ce15800f0023018551d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -7.141652391359816, "params": [[[0.0034000000000000002, 0.42560000000000003], [0.0024000000000000002, 0.5774], [0.0057, 0.0854], [-0.0029000000000000002, 0.6071000000000001], [0.0026000000000000003, 0.5872], [0.0024000000000000002, 0.5784], [0.8034, -0.0037]], [[0.002900000000000... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + 1.75 * (Z(6) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(3)) + -2.0 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.75 * Z(6) + 1.75 * Z(3) + 1.0 * Z(4) + -0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-10.5, -10.5, -10.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110", "1110000", "1110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0034) q[0];
rz(0.4256) q[0];
rx(0.0024) q[1];
rz(0.5774) q[1];
rx(0.0057) q[2];
rz(0.0854) q[2];
rx(-0.0029) q[3];
rz(0.6071) q[3];
rx(0.0026) q[4];
rz(0.5872) q[4];
rx(0.0024) q[5];
rz(0.5784) q[5];
rx(0.8034) q[6];
rz(-0.0037) q[6];
rx(0.0029) q[0];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ed5a8546b2a681d7b80c72c39982e864 | 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}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [123, 107], "expectation_value": -55.216781891840974, "params": [0.6153000000000001, -0.3602, 1.397, -0.0009000000000000001, 1.3916000000000002, 0.2908, 0.776, 0.48050000000000004, 1.3947, 0.2179, 0.6306, 0.41350000000000003, 1.3922, 0.0466, 1.3915, -0.136, 0.6174000000000001, 0.0025, 1.3942, 0.0001, 1.3912,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 4.5 * Z(0) + 6.0 * Z(2) + 8.5 * Z(3) + 23.... | 18 | 8 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.5, "smallest_bitstrings": ["10010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6153) q[0];
rz(-0.3602) q[0];
rx(1.397) q[1];
rz(-0.0009) q[1];
rx(1.3916) q[2];
rz(0.2908) q[2];
rx(0.776) q[3];
rz(0.4805) q[3];
rx(1.3947) q[4];
rz(0.2179) q[4];
rx(0.6306) q[5];
rz(0.4135) q[5];
rx(1.3922) q[6];
rz(0.0466) q[6];
rx(1.3915) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
1a9af805cf7f57ca2d44c009938a54aa | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6}, {"capac... | {"states": [509, 511], "expectation_value": -0.11383329269409043, "params": [[-0.059800000000000006], [0.0611]], "bitstrings": ["1000000010", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001124266593216138, 0.0011314845185617193], "optimization_time": 2.4361140727996826} | 0.25 * (Z(0) @ Z(9)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(6) @ Z(9)) + -0.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(9)) + -0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(8) @ Z(4)) + -0.5 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000000000", "1000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(-0.0299) q[0];
cx q[9], q[0];
cx q[2], q[1];
rz(0.0299) q[1];
cx q[2], q[1];
cx q[9], q[6];
rz(0.0598) q[6];
cx q[9], q[6];
cx q[2], q[6];
rz(0.0299) q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
ae38f088eb7d13f4a1aaeed7b82ca76a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5... | {"states": [19, 1], "expectation_value": -15.28160671909044, "params": null, "bitstrings": ["1101100", "1111110"], "total_optimization_steps": 28, "probabilities": [0.1492731531067702, 0.8377857041610112], "optimization_time": 30.87294602394104} | -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];
cry(1.5708) q[5], q[2];
ry(1.5708) q[6];
cry(-1.5708) q[6], q[0];
cry(-1.5708) q[6], q[4];
ry(-1.5708) q[3];
ry(-1.5708) q[1];
ry(-1.4056) q[2];
ry(-1.2553) q[5];
cry(-0.801) q[6], q[2];
cry(-0.017) 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];\ncry(1.5708) q[5], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6]... |
-7137806542513040045 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2], [1, 3, 4, 5, 7], [1, 6]]} | {"states": [121, 124], "expectation_value": -0.8731688611210697, "params": null, "bitstrings": ["10000110", "10000011"], "total_optimization_steps": 58, "probabilities": [0.08224169747651591, 0.10736799407622227], "optimization_time": 81.22189474105835} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(3)) + 0.05 * (Z(5) @ Z(1)) + 0.05 * (Z(5) @ Z(3)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(7) @ Z(1)) + 0.05 * (Z(7) @ Z(3)) + 0.05 * (Z(7) @ Z(4)) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, -1.0333333333333332, ... | 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(1.0792) q[1];
cry(-1.4191) q[1], q[6];
cry(0.2882) q[7], q[1];
cry(-0.3733) q[2], q[0];
cry(0.1776) q[5], q[1];
ry(-0.1557) q[6];
cry(-0.2945) q[0], q[2];
cry(0.1359) q[4], q[1];
ry(0.2642) 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(1.0792) 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[... |
8554055210384227088 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 8, 6, 7], [0, 1, 6, 7], [0, 1, 2, 6], [2, 3, 6, 7, 8, 9], [1, 2, 3, 4, 5, 7], [0, 1, 3, 4, 5, 6], [8, 3, 4, 7], [1, 3, 5, 8, 9], [1, 3, 4, 5, 8], [1, 2, 4, 6, 8], [0, 4, 5, 6, 8], [0, 2, 3, 6], [0, 5, 6, 7], [2, 4, 7, 8, 9], [1, 2, 3, 6], [0, 2, 5, 7, 8], [3,... | {"states": [990, 982], "expectation_value": -2.5575205998599513, "params": [2.4416, 0.0064, 2.6132, 0.004200000000000001, 1.9665000000000001, 0.0017000000000000001, 2.472, 0.0041, 1.5599, 0.0019, 1.5807, 0.0098, 1.5676, 0.0061, 2.6218, 0.0081, 2.6291, 0.0005, 1.5581, 0.0097, 0.0085, 0.003, 0.0061, 0.0045000000000000005... | 0.18333333333333335 * (Z(0) @ Z(8)) + 0.25 * (Z(6) @ Z(8)) + 0.49999999999999994 * (Z(6) @ Z(0)) + 0.3333333333333333 * (Z(7) @ Z(8)) + 0.4666666666666667 * (Z(7) @ Z(0)) + 0.31666666666666665 * (Z(7) @ Z(6)) + 0.15000000000000002 * (Z(1) @ Z(8)) + 0.19999999999999998 * (Z(1) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(6)... | 16 | 10 | 1 | {"smallest_eigenvalues": [-3.850000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.800000000000001, "smallest_bitstrings": ["0000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(2.4416) q[0];
rz(0.0064) q[0];
rx(2.6132) q[1];
rz(0.0042) q[1];
rx(1.9665) q[2];
rz(0.0017) q[2];
rx(2.472) q[3];
rz(0.0041) q[3];
rx(1.5599) q[4];
rz(0.0019) q[4];
rx(1.5807) q[5];
rz(0.0098) q[5];
rx(1.5676) q[6];
rz(0.0061) q[6];
rx(2.6218) 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": []} |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [48855, 57015], "expectation_value": -11.655666970124445, "params": [[0.11860000000000001, 0.1254, 0.0969], [-0.09230000000000001, -0.13470000000000001, -0.16290000000000002]], "bitstrings": ["0100000100101000", "0010000101001000"], "total_optimization_steps": 20, "probabilities": [0.001356338253930005, 0.00... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 1 | 16 | 3 | {"smallest_eigenvalues": [-15.999999999999975], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999936, "smallest_bitstrings": ["0010000101001000"]} | 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[3], q[1];
rz(0.1186) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.1186) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.1186) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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]... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
9148efbb5d186a795b2c7ee7389c620b | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 0, "target": 3}, {"source": 1, "target":... | {"states": [297, 361], "expectation_value": -4.781163127987598, "params": [[0.0038, 1.3980000000000001, 0.0011, 0.8386, 0.8598, -0.007200000000000001, 1.4039000000000001, -0.0089, 0.0031000000000000003, 1.4086], [0.0013000000000000002, 1.3989, 0.0046, 1.4104, 1.4021000000000001, 0.187, 1.4043, 0.19140000000000001, 0.00... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(2)) + -0.5 * Z(4) + -1.5 * Z(0) + -0.5 * Z(7) + -1.5 * Z(8) + 0.0 * Z(3) + -0.5 * Z(... | 10 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.5, "smallest_bitstrings": ["1000011011", "1100001011", "1010010110", "1110000011", "1010110100", "1010110001", "1110000110", "1010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0038) q[0];
ry(1.398) q[1];
ry(0.0011) q[2];
ry(0.8386) q[3];
ry(0.8598) q[4];
ry(-0.0072) q[5];
ry(1.4039) q[6];
ry(-0.0089) q[7];
ry(0.0031) q[8];
ry(1.4086) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3... | OPENQASM 3.0;
include "stdgates.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": []} |
20a8103f07dd8a24047f028e6edcf2b9 | 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": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [107, 122], "expectation_value": -41.39690867715534, "params": null, "bitstrings": ["10010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.12014193001474291, 0.194657655874236], "optimization_time": 164.30495357513428} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[3];
ry(25.2346) q[4];
ry(45.2502) q[2];
cry(-25.0055) q[2], q[3];
ry(34.7603) q[6];
ry(30.3649) q[1];
cry(-26.878) q[2], q[6];
cry(12.6016) q[6], q[4];
cry(13.2714) q[2], q[4];
ry(0.0... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) 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[... |
8782754471923327957 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [0, 5], [1, 5], [2, 3, 6], [0, 3], [5, 6], [8, 4, 5, 7], [0, 1, 6, 7]]} | {"states": [502, 470], "expectation_value": 0.10465624594380636, "params": [0.7076, -0.0019, 0.7016, 0.0083, 0.6997, -0.0017000000000000001, 0.6993, 0.00030000000000000003, 0.7087, -0.0011, 0.7019000000000001, 0.0041, 0.7077, 0.0014, 0.7000000000000001, 0.004, 0.7020000000000001, -0.003, 0.7019000000000001, 0.0092, 0.7... | 0.5 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 ... | 6 | 9 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7076) q[0];
rz(-0.0019) q[0];
rx(0.6997) q[1];
rz(-0.0017) q[1];
rx(0.7087) q[2];
rz(-0.0011) q[2];
rx(0.7077) q[3];
rz(0.0014) q[3];
rx(0.702) q[4];
rz(-0.003) q[4];
rx(0.7018) q[5];
rz(-0.0006) q[5];
rx(0.7035) q[6];
rz(-0.0023) q[6];
rx(0.6986) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-4212810496543102825 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2], [1, 5], [1, 3], [4, 5]]} | {"states": [37, 50], "expectation_value": -0.052847949936713406, "params": [[-0.0845], [0.07980000000000001]], "bitstrings": ["011010", "001101"], "total_optimization_steps": 10, "probabilities": [0.01732622962945196, 0.01732622962945196], "optimization_time": 0.3787689208984375} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["110010", "001101", "011010", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0845) q[0];
cx q[2], q[0];
cx q[5], q[1];
rz(-0.0845) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(-0.0845) q[3];
cx q[1], q[3];
cx q[5], q[4];
rz(-0.0845) q[4];
cx q[5], q[4];
rz(0) q[2];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[5], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
b426b8aff164c6823b185eb6b091738d | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": ... | {"states": [52, 28], "expectation_value": -3.499900324058672, "params": null, "bitstrings": ["001011", "100011"], "total_optimization_steps": 26, "probabilities": [1.718749846806863e-05, 0.999950071326692], "optimization_time": 13.991117238998413} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[5];
ry(-1.4449) q[4];
ry(-1.4449) q[0];
ry(1.4417) q[3];
ry(1.4417) q[1];
ry(1.4384) q[2];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[0];
cry(0.1246) q[3], q[2];
cry(0.1218) q[2], q[1];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
135981e0ed720862b340e5f4f8aff5ed | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [1020, 1023], "expectation_value": -12.915217045309504, "params": [[[-0.0025, 1.7054], [-0.0016, -0.0026000000000000003], [-0.0016, 0.0017000000000000001], [-0.0021000000000000003, -0.0022], [-0.0023, 0.002], [-0.0027, -0.0025], [-0.0027, -0.0029000000000000002], [0.0017000000000000001, -0.002600000000000000... | -2.0 * (Z(0) @ Z(3)) + -2.5 * (Z(4) @ Z(3)) + -2.0 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + -1.5 * (Z(6) @ Z(7)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(3) + 0.5 * Z(0) + ... | 15 | 10 | 1 | {"smallest_eigenvalues": [-16.5, -16.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -15.5, "smallest_bitstrings": ["0000001100", "0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0025) q[0];
ry(-0.0016) q[1];
ry(-0.0016) q[2];
ry(-0.0021) q[3];
ry(-0.0023) q[4];
ry(-0.0027) q[5];
ry(-0.0027) q[6];
ry(0.0017) q[7];
ry(-0.0028) q[8];
ry(-0.0026) 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... | OPENQASM 3.0;
include "stdgates.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[10] c;
qubit[10... | {"node": 6} | {"circuits": [], "gradients": []} |
4e25283e9474f6784f895048b0f76821 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"source": 6, "target":... | {"states": [511, 495], "expectation_value": -0.5052945931616997, "params": [[0.0634], [-0.0505]], "bitstrings": ["000000000", "000010000"], "total_optimization_steps": 10, "probabilities": [0.002467436363846437, 0.0024992015561551887], "optimization_time": 3.101848840713501} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(5)) + -2.0 * (Z(7) @ Z(6)) + 1.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(4) | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["000010000"]} | 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(-0.1268) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1268) q[2];
cx q[3], q[2];
cx q[6], q[5];
rz(-0.2536) q[5];
cx q[6], q[5];
cx q[6], q[8];
rz(0.1268) q[8];
cx q[6], 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;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(x0) q[2... | {"node": 5} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [245, 413], "expectation_value": -1.4556426150120323, "params": [[-0.0847, -0.0867, -0.079], [0.0791, 0.0806, 0.0753]], "bitstrings": ["100001010", "001100010"], "total_optimization_steps": 10, "probabilities": [0.004685058867129511, 0.004685058867129511], "optimization_time": 8.691834449768066} | 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(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 3 | {"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], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.0847) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0847) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0847) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(-0.0423) q[6];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
ee67fff6a5de964979ae5b7dd3211ad6 | 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": [359, 327], "expectation_value": -50.10412962373543, "params": [1.278, 0.0048000000000000004, 2.2062, 0.0097, 0.0031000000000000003, 0.0004, 2.2057, 0.0046, 1.524, 0.0006000000000000001, 0.5337000000000001, 0.0086, 0.1791, 0.0038, 2.1949, 0.0037, 2.2053000000000003, 0.0063, 2.2071, 0.0067, 0.0032, 0.0032, 0.... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(3)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 6.0 * Z(1) + 2.0 * Z(0) + -5.5 * Z(2) + 9.5 * Z(3) + 3.5 * Z(4) + -2.5 * Z(6) + 13.5 * Z(9) + 14.0 *... | 18 | 10 | 1 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.0, "smallest_bitstrings": ["1010111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.278) q[0];
rz(0.0048) q[0];
rx(2.2062) q[1];
rz(0.0097) q[1];
rx(0.0031) q[2];
rz(0.0004) q[2];
rx(2.2057) q[3];
rz(0.0046) q[3];
rx(1.524) q[4];
rz(0.0006) q[4];
rx(0.5337) q[5];
rz(0.0086) q[5];
rx(0.1791) q[6];
rz(0.0038) q[6];
rx(2.1949) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
-7363615039299069295 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5], [2, 3], [4, 7], [1, 6]]} | {"states": [81, 85], "expectation_value": -1.6491800989279575, "params": null, "bitstrings": ["10101110", "10101010"], "total_optimization_steps": 60, "probabilities": [0.23405768315952957, 0.30766754279757835], "optimization_time": 81.42897605895996} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.125 * Z(1) + 0.125 * Z(0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["01100001", "00010011", "00100111", "10101010", "00011010", "00101110", "01101000", "10100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[7], q[4];
cry(-1.0342) q[3], q[2];
ry(0.9138) q[3];
ry(-0.6219) q[2];
cry(-1.0342) q[1], q[6];
ry(0.8239) q[1];
ry(0.7003) q[7];
ry(-0.5558) q[6];
cry(0.4524) q[3], q[1];
ry(-0.4549... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[7], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
fc2f0a4c3643dbb6da990e12e2623ef0 | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 3}, {"weight": 1, "source": 2, "target... | {"states": [21930, 43605], "expectation_value": -0.1246045598948387, "params": [[-0.1882], [0.18130000000000002]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 20, "probabilities": [2.4830246369746572e-05, 2.4830246369746572e-05], "optimization_time": 17.666680335998535} | 0.25 * (Z(0) @ Z(1)) + 0.00010330578512396695 * (Z(2) @ Z(0)) + 0.00010330578512396695 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0009297520661157026 * (Z(4) @ Z(0)) + -0.0007231404958677687 * (Z(4) @ Z(2)) + -0.0009297520661157026 * (Z(5) @ Z(1)) + -0.0007231404958677687 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.0149793388429345], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0149793388428887, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0941) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0) q[3];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target": 4}]} | {"states": [49, 21], "expectation_value": -2.23595991014814, "params": null, "bitstrings": ["001110", "101010"], "total_optimization_steps": 25, "probabilities": [0.10409742217291358, 0.8722896787888064], "optimization_time": 22.36346983909607} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ Z(5)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(2) @ Z(5) @ Z(3)) ... | 1 | 6 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.25, "smallest_bitstrings": ["100011", "100110", "101010", "010110", "001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5486) q[4];
cry(-1.3016) q[3], q[0];
ry(1.2944) q[1];
ry(1.0339) q[5];
cry(-0.9947) q[5], q[2];
ry(0.6605) q[3];
ry(-0.5012) q[2];
cry(0.4275) q[1], q[5];
cry(0.2526) q[5], q[1];
ry(-0.2509) q[0];
cry(0.418... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5486) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
0963943ecfb82868686868de206d3c2c | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}]} | {"states": [5, 13], "expectation_value": -0.23702700220453207, "params": [[0.043500000000000004, 0.0606, 0.0507, 0.061500000000000006], [-0.0132, -0.0458, -0.0427, -0.0487]], "bitstrings": ["11010", "10010"], "total_optimization_steps": 10, "probabilities": [0.03926570308652505, 0.04436736641418713], "optimization_time... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(3) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.75, "smallest_bitstrings": ["10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.0218) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0218) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.0435) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0653) q[4];
cx q[0], q[4];
cx q[4], q[2];
rz(-0.0435) 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": 4} | {"circuits": [], "gradients": []} |
-1706464576773782584 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 5], [3, 5], [1, 2], [0, 2], [0, 1], [2, 4], [1, 3], [3, 4]]} | {"states": [19, 44], "expectation_value": -0.0975834237231752, "params": [[-0.0724], [0.077]], "bitstrings": ["101100", "010011"], "total_optimization_steps": 10, "probabilities": [0.017387479586033244, 0.017387479586033244], "optimization_time": 0.5004324913024902} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["010011", "001101", "101100", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(-0.0724) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(-0.0724) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-0.0724) q[0];
cx q[1], q[0];
cx q[5], q[3];
rz(-0.0724) q[3];
cx q[5], q[3];
cx q[1], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[1];
rz(x0) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[5], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
-3777179041850289675 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 6], [0, 4, 5, 7, 8], [8, 1, 5, 7], [0, 1, 3], [0, 2, 7], [2, 3], [6, 7], [0, 3, 6], [3, 5], [8, 1, 5, 0], [8, 0, 3], [0, 1, 4, 6], [0, 1, 2, 5], [8, 0, 6], [8, 1, 2, 5]]} | {"states": [333, 349], "expectation_value": -1.6428453903558153, "params": [[-0.2538], [0.2604]], "bitstrings": ["010110010", "010100010"], "total_optimization_steps": 30, "probabilities": [0.006515598707197109, 0.006600901391128488], "optimization_time": 5.577516317367554} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.41666666666666663 * (Z(0) @ Z(1)) + 0.41666666666666663 * (Z(0) @ Z(6)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(6)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.1666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.200000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.116666666666667, "smallest_bitstrings": ["010100010"]} | 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(-0.1692) q[1];
cx q[2], q[1];
cx q[2], q[6];
rz(-0.0846) q[6];
cx q[2], q[6];
cx q[1], q[6];
rz(-0.1269) q[6];
cx q[1], q[6];
cx q[2], q[0];
rz(-0.1269) q[0];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
73756a37c91cab93072716a079a9ec85 | 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": [965, 709], "expectation_value": -91.61090091466212, "params": [[[0.3002, 0.0048000000000000004], [0.3511, -0.0002], [0.7441, 0.0018000000000000002], [0.6001000000000001, 0.0045000000000000005], [0.036500000000000005, 0.0037], [0.0004, 0.0024000000000000002], [0.0167, -0.0264], [-0.10690000000000001, 0.126],... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(9) @ Z(1)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(9) @ Z(8)) + 12.0 * Z(2) + 9.5 * Z(1) + 19.5 * ... | 15 | 10 | 4 | {"smallest_eigenvalues": [-104.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.5, "smallest_bitstrings": ["0100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3002) q[0];
ry(0.3511) q[1];
ry(0.7441) q[2];
ry(0.6001) q[3];
ry(0.0365) q[4];
ry(0.0004) q[5];
ry(0.0167) q[6];
ry(-0.1069) q[7];
ry(0.733) q[8];
ry(0.0763) 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], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
84dcff3fa5f1cb1271083d4a9838c54d | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -26.71894778351877, "params": [[[0.0033, -0.4263], [0.0009000000000000001, 0.0037], [0.0024000000000000002, -0.0011], [0.0005, -0.0027], [0.0043, 0.0021000000000000003], [0.0064, -0.0024000000000000002], [0.0023, 0.003], [-0.002, -0.001], [0.5031, -1.0832000000000002], [0.012... | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(9) @ Z(0)) + -1.0 * (Z(1) @ Z(4)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -1.25 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(2)) + -0.25 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-27.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0033) q[0];
ry(0.0009) q[1];
ry(0.0024) q[2];
ry(0.0005) q[3];
ry(0.0043) q[4];
ry(0.0064) q[5];
ry(0.0023) q[6];
ry(-0.002) q[7];
ry(0.5031) q[8];
ry(0.0123) 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[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [41, 44], "expectation_value": -5.499937482943579, "params": null, "bitstrings": ["010110", "010011"], "total_optimization_steps": 28, "probabilities": [1.6356545604728183e-05, 0.9999687420766158], "optimization_time": 26.598191022872925} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(1) + -1.0 * Z(0) + -2.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(2) + -1.0 * Z... | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[3];
ry(1.4417) q[0];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[2], q[0];
cry(0.1216) q[0], q[3];
cry(0.1186) q[3], q[2];
cry(-0.000... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... |
347cd23786ada5a7ec96f3799dd0d8dc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, ... | {"states": [76, 77], "expectation_value": -3.289212431185564, "params": [0.505, 0.0026000000000000003, 0.0007, 0.2927, 0.031900000000000005, 0.3135, 0.5065000000000001, 0.0324, 0.5013000000000001, -0.0029000000000000002, 0.078, 0.2692, 0.4843, 0.1409, 0.5, 0.0044, 0.006900000000000001, 0.3, 0.034800000000000005, 0.3104... | 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(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -0.5 * Z(6) + -0.5 * Z(5) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.505) q[0];
rz(0.0026) q[0];
rx(0.0007) q[1];
rz(0.2927) q[1];
rx(0.0319) q[2];
rz(0.3135) q[2];
rx(0.5065) q[3];
rz(0.0324) q[3];
rx(0.5013) q[4];
rz(-0.0029) q[4];
rx(0.078) q[5];
rz(0.2692) q[5];
rx(0.4843) q[6];
rz(0.1409) q[6];
crz(0.2938) q[6], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
16d309fbf50eb3de0ab671378ee18bce | 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": 3}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [254, 127], "expectation_value": -2.7958643624615096, "params": [[-0.058600000000000006, -0.0777], [0.067, 0.0736]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009991981510173652, 0.010514418922144407], "optimization_time": 3.903075695037842} | -0.25 * (Z(0) @ Z(3)) + -0.25 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(0)) + -1.75 * (Z(1) @ Z(3)) + -0.5 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.25 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(5)) + -1.25 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(6) @... | 1 | 8 | 2 | {"smallest_eigenvalues": [-14.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.0293) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0293) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.1758) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.2051) q[1];
cx q[3], q[1];
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": 7} | {"circuits": [], "gradients": []} |
b41a0246ac934e385375b4178d6ede58 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [1023, 1016], "expectation_value": -3.2207808601862475, "params": [[-0.0634], [0.0765]], "bitstrings": ["0000000000", "0000000111"], "total_optimization_steps": 10, "probabilities": [0.0020289240780335073, 0.0021196187555278306], "optimization_time": 4.035712480545044} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.0 * (Z(4) @ Z(0)) + 1.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(4)) + 1.0 * (Z(3) @ Z(1)) + 1.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(2)) + -3.5 * (Z(3) @ Z(4)) + -3.0... | 1 | 10 | 1 | {"smallest_eigenvalues": [-29.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["0000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.317) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.317) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3804) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.317) q[4];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
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 ... | {"node": 10} | {"circuits": [], "gradients": []} |
085ba3cf225b4dcc60b5adb0a9ccfea4 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 426], "expectation_value": -63.950101427119975, "params": [0.6288, 0.32070000000000004, 1.2998, 0.0158, 1.3082, 0.0879, 0.8128000000000001, 0.43660000000000004, 1.2982, -0.02, -0.0031000000000000003, -0.7244, 1.3008, 0.4181, -0.0048000000000000004, 0.8834000000000001, 1.2992000000000001, -0.2195, 0.683... | 6.5 * (Z(2) @ Z(0)) + 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(3) @ Z(1)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(2)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(3)) + 6.5 * (Z(8) @ Z(9)) + 4.0 * Z(0) + 14.5 * Z(2) + 22.0 * Z(1) + 9.0 * Z(3) + 7.5 * Z(4) + -4.0 * Z(5)... | 18 | 10 | 2 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.5, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6288) q[0];
rz(0.3207) q[0];
rx(1.2998) q[1];
rz(0.0158) q[1];
rx(1.3082) q[2];
rz(0.0879) q[2];
rx(0.8128) q[3];
rz(0.4366) q[3];
rx(1.2982) q[4];
rz(-0.02) q[4];
rx(-0.0031) q[5];
rz(-0.7244) q[5];
rx(1.3008) q[6];
rz(0.4181) q[6];
rx(-0.0048) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
7dda09a38f354789ad2a3b94681dca6c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [0, 480], "expectation_value": -21.73989614543385, "params": [0.8305, 0.0, -1.0777, 0.0025, -0.033100000000000004, 2.1465, -0.4152, 0.0051, -0.4686, 0.21580000000000002, 0.3682, 0.0023, -1.6972, 0.07390000000000001, -0.655, 0.0058000000000000005, 0.0038, -2.5025, 0.0026000000000000003, 0.0061, -0.00310000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + -3.0 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(6)) + 1.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.5... | 6 | 9 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8305) q[0];
rz(0) q[0];
rx(-0.0331) q[1];
rz(2.1465) q[1];
rx(-0.4686) q[2];
rz(0.2158) q[2];
rx(-1.6972) q[3];
rz(0.0739) q[3];
rx(0.0038) q[4];
rz(-2.5025) q[4];
rx(-0.0031) q[5];
rz(1.3746) q[5];
rx(0.0022) q[6];
rz(1.9033) q[6];
rx(-0.0032) q[7];
rz(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
2fde01ebb7d3cd1daf98d95b5f19909d | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [58, 54], "expectation_value": -0.2106800513013086, "params": [[0.0789], [-0.0791]], "bitstrings": ["1000101", "1001001"], "total_optimization_steps": 10, "probabilities": [0.009114000763804437, 0.009299131910477614], "optimization_time": 1.3444576263427734} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(6)) + 0.0 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1000101", "1001001"]} | 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(0.0789) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0789) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0789) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0789) q[4];
cx q[3], q[4];
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3]... | null | {"circuits": [], "gradients": []} |
5453c2513a3015ff34fdf7af0c17d479 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [21, 7], "expectation_value": -12.49929898053237, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 66, "probabilities": [0.10660517640631754, 0.613859001512618], "optimization_time": 90.36524057388306} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.4894) q[0];
cry(-1.5708) q[6], q[3];
cry(-1.5704) q[5], q[2];
ry(1.0372) q[6];
cry(-1.5708) q[4], q[1];
ry(1.0556) q[4];
ry(-0.4336) q[1];
ry(0.7789) q[5];
ry(-0.4911) q[3];
ry(-0.3194) q[2];
cry(0.... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.4894) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9915ff93784d747e82bcd9a73a2399e5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [28, 14], "expectation_value": -2.996464150018099, "params": null, "bitstrings": ["00011", "10001"], "total_optimization_steps": 19, "probabilities": [0.06634807398600236, 0.9303666439722974], "optimization_time": 10.742632150650024} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(3) + -0.5 * Z(0) + -1.5 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["10001", "00011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5708) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0342) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.2489) q[1], q[3];
cry(-0.1488) q[1], q[0];
cry(0.118)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
ca80a1081391714ec98f68c48872633f | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [1, 21], "expectation_value": -4.855098008600605, "params": null, "bitstrings": ["1111110", "1101010"], "total_optimization_steps": 32, "probabilities": [0.20447398014986273, 0.6556482078186285], "optimization_time": 27.21423649787903} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(2)) + -1.5 * (Z(4) @ Z(2)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(6)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + 0.25 * Z(5) + 0.25 * Z(4) + 0.25 * Z(6) + -... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1101010", "1111110", "1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(1.5626) q[4], q[2];
cry(1.2309) q[2], q[4];
ry(-1.5158) q[3];
cry(-1.4449) q[6], q[0];
ry(1.0405) q[6];
ry(-0.4775) q[0];
ry(-1.2998) q[5];
ry(-1.564) q[1];
cry(0.3486) q[2], q[6];
cry(-0.2706) 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];\ncry(1.5626) q[4], 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]... |
a3571c19d72a014065614d323aff3379 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [12, 5], "expectation_value": -0.355739768918326, "params": [[0.0655, 0.0584, 0.06570000000000001, 0.0514], [-0.0717, -0.050300000000000004, -0.061500000000000006, -0.050800000000000005]], "bitstrings": ["110011", "111010"], "total_optimization_steps": 10, "probabilities": [0.02367885534889013, 0.02472088388... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + -0.125 * (Z(1) @ 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(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(5... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.875, -2.875], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.875, "smallest_bitstrings": ["110011", "111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(0.0164) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0164) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(0.0164) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(0.0164) q[2];
cx q[3], q[2];
cx q[2], q[0];
rz(0.0164... | OPENQASM 3.0;
include "stdgates.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": []} |
73d533dc900ade1f39f82d1daf03a1c8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [9, 27], "expectation_value": -9.656134434931806, "params": null, "bitstrings": ["1110110", "1100100"], "total_optimization_steps": 45, "probabilities": [0.21130126320595546, 0.6415753811416571], "optimization_time": 52.913326025009155} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(2)) + -1.0 * (Z(3) @ Z(1)) + 1.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(3)) + -2.75 * Z(1) + -0.25 * Z(0) + -1.0 * Z... | 1 | 7 | 1 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["1100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[4];
cry(-1.5708) q[6], q[0];
ry(1.0167) q[6];
ry(-0.5509) q[0];
ry(1.5705) q[3];
cry(0.4353) q[3], q[6];
cry(-0.1851) q[3], q[0];
cry(1.4449) q[5], q[2];
cry(1.2103) q[2], ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
4ad240d57102d025ddea38d8ddb54f36 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": ... | {"states": [0, 135], "expectation_value": -33.99017334483581, "params": [0.060700000000000004, -1.7217, 0.099, -1.8411000000000002, -0.0021000000000000003, 1.0515, -0.0014, 1.3114000000000001, -0.3662, 0.9559000000000001, -0.17950000000000002, 1.3994, 0.002, 0.8553000000000001, 0.0013000000000000002, 0.8818, 0.00180000... | -3.0 * (Z(0) @ Z(5)) + -3.0 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + -3.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -3.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -3.0 * (Z(6) @ Z(1)) + 1.5 * (Z(6) @ Z(4)) + 1.5 * (Z(3) @ Z(5)) + 1.0 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + -3.0 * (Z(3) @ Z(6)) + -2.0... | 6 | 10 | 4 | {"smallest_eigenvalues": [-36.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -35.0, "smallest_bitstrings": ["1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0607) q[0];
rz(-1.7217) q[0];
rx(-0.0021) q[1];
rz(1.0515) q[1];
rx(-0.3662) q[2];
rz(0.9559) q[2];
rx(0.002) q[3];
rz(0.8553) q[3];
rx(0.0018) q[4];
rz(0.8343) q[4];
rx(0.0016) q[5];
rz(0.6861) q[5];
rx(-0.0033) q[6];
rz(1.5246) q[6];
rx(-0.2898) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 5} | {"circuits": [], "gradients": []} |
421dc0e0e103964520cbb860ec0bda39 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [378, 218], "expectation_value": -22.822081169605415, "params": [[0.0263, -0.0047, 0.0048000000000000004], [-0.055, -0.0414, -0.0589]], "bitstrings": ["010000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.005809127336595271, 0.0071605664184921924], "optimization_time": 6.365297555923... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "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(0.2367) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2367) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2367) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2367) q[3];
cx q[1], 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": []} |
0411bb1d6e6dbee927745193cc5513fc | 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": [543, 527], "expectation_value": -69.16921335714929, "params": [[[2.1308000000000002, 0.6767000000000001], [0.0031000000000000003, 0.6749], [0.0018000000000000002, 0.0014], [0.0017000000000000001, -0.0021000000000000003], [-0.002, -0.0028], [-1.5763, 1.5809], [0.0027, 1.5547], [-0.0028, -0.0028], [1.482, 1.0... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(3) @ Z(6)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(9) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(9)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 6.5 * (Z(8) @ Z(7)) + 14.0 * Z(0) + -5.5 * Z(1) + 3.5 * Z(4) + 15.5 * Z(6) + 3... | 15 | 10 | 1 | {"smallest_eigenvalues": [-102.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -96.5, "smallest_bitstrings": ["0111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(2.1308) q[0];
ry(0.0031) q[1];
ry(0.0018) q[2];
ry(0.0017) q[3];
ry(-0.002) q[4];
ry(-1.5763) q[5];
ry(0.0027) q[6];
ry(-0.0028) q[7];
ry(1.482) q[8];
ry(-0.0185) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
681317cce116b7c317d2d1166a0937e1 | 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": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [463, 271], "expectation_value": -1.029924532048478, "params": [0.7767000000000001, 0.7759, 0.77, 0.7767000000000001, 0.7778, 0.7785000000000001, 0.001, 0.0029000000000000002, 0.7445, 0.7528, 0.7695000000000001, 0.7789, 0.7874, 0.7885000000000001, 0.8041, 0.805, 0.7935, 0.7868, 0.6704, 0.7808, 0.1444, 0.7693... | 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(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(1))... | 14 | 9 | 1 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.25, "smallest_bitstrings": ["001101010", "010110001", "011110000", "100110001", "001111000", "110100100", "100101100", "100101001", "1001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7767) q[0];
ry(0.77) q[1];
ry(0.7778) q[2];
ry(0.001) q[3];
ry(0.7445) q[4];
ry(0.7695) q[5];
ry(0.7874) q[6];
ry(0.8041) q[7];
ry(0.7935) q[8];
crx(0.6704) q[8], q[0];
crx(0.7871) q[7], q[8];
crx(0.7738) q[6], q[7];
crx(0.1423) q[5], q[6];
crx(0.1765) 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": []} |
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": 73.40417432785034} | -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 | 1 | {"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... |
57e4a42254a59ee532f799c4c74dbbc5 | 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": 6, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 4, "source": 0, ... | {"states": [65, 33], "expectation_value": -13.814109408373914, "params": null, "bitstrings": ["10111110", "11011110"], "total_optimization_steps": 29, "probabilities": [0.30275900946009937, 0.49999904538896256], "optimization_time": 20.877365112304688} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -2.75 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(4)) + -3.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 0.0 * Z(5) + 2.5 * Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.75, -17.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.75, "smallest_bitstrings": ["11111110", "11011110"]} | 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(-1.57) q[1];
ry(1.5708) q[7];
ry(-1.5709) q[0];
ry(-1.5708) q[3];
ry(-1.57) q[4];
ry(-1.5706) q[6];
cry(-1.5708) q[7], q[5];
cry(1.7826) q[7], q[1];
cry(-1.7862) q[2], q[1];
cry(-0.0007) q[7], ... | 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(-1.57) 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... |
2908819120690018760 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [2, 7], [2, 5], [4, 5], [1, 5], [0, 6], [0, 1], [3, 5]]} | {"states": [248, 122], "expectation_value": -3.6780564934433353, "params": null, "bitstrings": ["00000111", "10000101"], "total_optimization_steps": 46, "probabilities": [0.06027538288070057, 0.8615939130297372], "optimization_time": 47.36702084541321} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01111010", "10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[4], q[5];
cry(-1.0342) q[6], q[0];
ry(1.3762) q[1];
ry(1.3762) q[2];
cry(-0.7716) q[2], q[5];
cry(-0.7716) q[2], q[0];
cry(-1.441) q[2], q[7];
ry(1.3064) q[4];
ry(1.3064) q[6];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[4], q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
-5915888265279990789 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 3, 5, 6, 7, 8], [8, 1, 4], [0, 1, 2, 3, 7, 8], [4, 6], [0, 1, 6], [8, 1, 5, 7]]} | {"states": [231, 167], "expectation_value": -1.7851404945422331, "params": [-0.0395, -0.0015, 0.0337, 0.0061, 2.0388, -0.0024000000000000002, 1.1096000000000001, 0.032, 2.2156000000000002, -0.4292, 2.2195, 0.0024000000000000002, 1.2836, -0.2853, 1.1026, -0.2054, -0.0028, 1.4601000000000002, -0.0028, 0.00480000000000000... | 0.06666666666666667 * (Z(2) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(3)) + 0.03333333333333333 * (Z(5) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(3)) + 0.03333333333333333 * (Z(6) @ Z(2)) + 0.03333333333333333 * (Z(6) @ Z(5)) + 0.06666666666666667 * (Z(7) @ Z(3)) + 0.06666666666666667 * (Z(7) @ Z(2)) + 0.11666666666666... | 8 | 9 | 1 | {"smallest_eigenvalues": [-1.8166666666666669], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.8166666666666664, "smallest_bitstrings": ["101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0395) q[0];
rz(-0.0015) q[0];
rx(2.0388) q[1];
rz(-0.0024) q[1];
rx(2.2156) q[2];
rz(-0.4292) q[2];
rx(1.2836) q[3];
rz(-0.2853) q[3];
rx(-0.0028) q[4];
rz(1.4601) q[4];
rx(-0.0175) q[5];
rz(-0.8618) q[5];
rx(1.5718) q[6];
rz(-0.003) q[6];
rx(1.452) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c57af7e32d961e6547bc80ba0ce96978 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target":... | {"states": [511, 510], "expectation_value": -1.719847164534416, "params": [[-0.08120000000000001], [0.0747]], "bitstrings": ["000000000", "000000001"], "total_optimization_steps": 10, "probabilities": [0.003749473005768996, 0.0038410402719714996], "optimization_time": 2.7104620933532715} | -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(... | 5 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(0.3248) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.1624) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.3248) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.3248) q[1];
cx q[2], q[1];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx... | {"node": 8} | {"circuits": [], "gradients": []} |
e2e158f2cf7d16562fe0667a95b89216 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -20.58449164627836, "params": [[-0.0263, -0.0034000000000000002], [0.0606, 0.0604]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.004749179206510659, 0.006214871449452297], "optimization_time": 3.753337860107422} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2367) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2367) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2367) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2367) q[3];
cx q[0], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
8070808537194678837 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 2, 3, 4, 6], [1, 2, 3, 4, 5, 6], [0, 1, 2, 5, 6], [0, 2, 3, 5, 6]]} | {"states": [57, 110], "expectation_value": -0.005281889296800667, "params": [[0.0354], [-0.0363]], "bitstrings": ["1000110", "0010001"], "total_optimization_steps": 10, "probabilities": [0.00785541736748046, 0.00785541741730916], "optimization_time": 2.4807863235473633} | 0.08333333333333334 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(2) @ Z(1)) + 0.13333333333333336 * (Z(2) @ Z(0)) + 0.06666666666666667 * (Z(3) @ Z(1)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(3) @ Z(2)) + 0.06666666666666667 * (Z(4) @ Z(1)) + 0.03333333333333333 * (Z(4) @ Z(0)) + 0.06666666666666... | 1 | 7 | 1 | {"smallest_eigenvalues": [-0.8000000000000003, -0.8000000000000003], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -0.8000000000000002, "smallest_bitstrings": ["0010001", "0100001"]} | 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(0.0059) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0083) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0094) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0047) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | null | {"circuits": [], "gradients": []} |
513c00093dea827c03c59c65710798db | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [116, 46], "expectation_value": -0.30420388889106353, "params": [[-0.058600000000000006, -0.0609], [0.0711, 0.0734]], "bitstrings": ["0001011", "1010001"], "total_optimization_steps": 10, "probabilities": [0.010605201004371508, 0.010969104783107126], "optimization_time": 2.564241886138916} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(5) + -1.0 * Z(6) + 0.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0001011", "1010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0586) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(-0.0586) q[5];
cx q[0], q[5];
cx q[3], q[6];
rz(-0.0586) q[6];
cx q[3], q[6];
cx q[6], q[1];
rz(-0.0586) q[1];
cx q[6], q[1];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
7032cc934d25ccc88ef0fef25c22438b | 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": [1309, 1293], "expectation_value": -95.06980716742255, "params": [0.7745000000000001, 0.7195, 0.3281, 0.31420000000000003, 0.7827000000000001, 0.7839, 0.0013000000000000002, 0.0097, -0.005, -0.0012000000000000001, 0.0292, -0.042100000000000005, 0.3829, 0.3723, 0.7805000000000001, 0.7763, 0.6839000000000001, ... | 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(3) @ Z(2)) + 6.5 * (Z(5) @ Z(8)) + 6.5 * (Z(6) @ Z(0)) + 6.5 * (Z(6) @ Z(8)) + 6.5 * (Z(7) @ Z(1)) + 6.5 * (Z(7) @ Z(2)) + 6.5 * (Z(7) @ Z(8)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(4) @ Z(10)) + 6.5 * (Z(9) @ Z(10)) + 10.5 * Z(1) + 5.5 * Z(0) + 12.5 * Z(2) + -5.5 * Z(3) +... | 14 | 11 | 2 | {"smallest_eigenvalues": [-110.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["01011110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.7745) q[0];
ry(0.3281) q[1];
ry(0.7827) q[2];
ry(0.0013) q[3];
ry(-0.005) q[4];
ry(0.0292) q[5];
ry(0.3829) q[6];
ry(0.7805) q[7];
ry(0.6839) q[8];
ry(-0.1878) q[9];
ry(0.765) q[10];
crx(0.7195) q[10], q[0];
crx(-0.7208) q[9], q[10];
crx(0.0344) q[8], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
9ee98ef8a7f7cf3d252e75cdff7e85b3 | kclique | qaoa | {"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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 3}, {"source": ... | {"states": [56, 7], "expectation_value": -2.45230254127377, "params": [[0.0055000000000000005, -0.0298, -0.047, -0.0603], [-0.045700000000000005, -0.0073, 0.041600000000000005, 0.053000000000000005]], "bitstrings": ["000111", "111000"], "total_optimization_steps": 10, "probabilities": [0.02460338136749058, 0.0252215176... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 1.75 * (Z(3) @ Z(4)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 1.75 *... | 10 | 6 | 4 | {"smallest_eigenvalues": [-7.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0193) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0193) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0193) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.022) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0193)... | OPENQASM 3.0;
include "stdgates.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": []} |
749aca76179fb56419bc9b08f5b80355 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 1, "source": ... | {"states": [0, 256], "expectation_value": -10.032336419913786, "params": [0.0021000000000000003, 0.0023, 0.004200000000000001, 0.0041, -0.0041, -0.0015, 0.4002, 0.3981, 0.27440000000000003, 0.2909, 0.0051, -0.0023, -0.0011, 0.0049, 0.0045000000000000005, -0.0025, 0.0044, 0.0002, 0.0008, 0.006, 0.0013000000000000002, 0.... | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(9) @ Z(1)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(10) @ Z(1)) + -0.25 * (Z(10) @ Z(6)) + -0.5 * (Z(10) @ Z(3)) + -0.25 * (Z(10) @ Z(5)) + -0.5 * (Z(11) @ Z(1)) + -0.25 * (Z... | 14 | 12 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111001111111", "111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0021) q[0];
ry(0.0042) q[1];
ry(-0.0041) q[2];
ry(0.4002) q[3];
ry(0.2744) q[4];
ry(0.0051) q[5];
ry(-0.0011) q[6];
ry(0.0045) q[7];
ry(0.0044) q[8];
ry(0.0008) q[9];
ry(0.0013) q[10];
ry(0.0018) q[11];
crx(-0.3023) q[11], q[0];
crx(-0.2936) q[10], q[11... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
d95402f534dca4e34937ada56ff64246 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 4... | {"states": [3, 1], "expectation_value": -1.3832006889156458, "params": [[0.0731, 0.06770000000000001], [-0.0728, -0.0536]], "bitstrings": ["1111100", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015087251502067025, 0.01700319035094105], "optimization_time": 2.685368537902832} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + -1.5 * Z(2) + 0.25 * Z(4) + -0.5 * Z(5) + 1.5 * Z(3) + 1.5... | 1 | 7 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1096) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1462) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.1462) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(-0.0365) q[4];
cx q[2], q[4];
cx q[2], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0c3fcbc9e53b010416a5dc3cca6f6cb7 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"sour... | {"states": [41, 169], "expectation_value": -5.63338048332156, "params": [-0.0015, 0.0006000000000000001, 0.216, 0.2132, 0.025, 0.032600000000000004, 0.3057, 0.3054, 0.0058000000000000005, -0.00030000000000000003, 0.2998, 0.2969, -0.001, -0.0015, 0.165, 0.1635, 0.2988, 0.30110000000000003, 0.0057, -0.0017000000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + -0.5 * Z(1) ... | 13 | 9 | 4 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["111010100", "100010111", "101010110", "101100110", "110010101", "011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0015) q[0];
ry(0.216) q[1];
ry(0.025) q[2];
ry(0.3057) q[3];
ry(0.0058) q[4];
ry(0.2998) q[5];
ry(-0.001) q[6];
ry(0.165) q[7];
ry(0.2988) q[8];
crz(-0.0015) q[8], q[0];
crz(0.0372) q[7], q[8];
crz(-0.1764) q[6], q[7];
crz(0.004) q[5], q[6];
crz(-0.1452)... | 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": []} |
8782754471923327957 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 6], [0, 5], [1, 5], [2, 3, 6], [0, 3], [5, 6], [8, 4, 5, 7], [0, 1, 6, 7]]} | {"states": [350, 470], "expectation_value": -2.7149123595615245, "params": null, "bitstrings": ["010100001", "000101001"], "total_optimization_steps": 69, "probabilities": [0.06420324931789295, 0.8247136560138383], "optimization_time": 105.84913086891174} | 0.5 * (Z(8) @ Z(6)) + 0.08333333333333333 * (Z(0) @ Z(6)) + 0.5 * (Z(5) @ Z(6)) + 0.08333333333333333 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(6)) + 0.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["000101001"]} | 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(1.1408) q[6];
cry(-1.3578) q[1], q[5];
ry(0.8675) q[1];
cry(-0.5883) q[6], q[5];
cry(1.2893) q[1], q[0];
cry(-1.3741) q[0], q[3];
cry(-1.1573) q[6], q[8];
cry(0.3026) q[0], q[6];
ry(1.0... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.1408) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
50c5b65ff56baf5d2a2ac4afeecfa642 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [164, 165], "expectation_value": -4.234457991201657, "params": [0.40640000000000004, -0.0021000000000000003, 0.3965, -0.0021000000000000003, 0.0029000000000000002, 0.2325, 0.0004, 0.23450000000000001, 0.3982, 0.0017000000000000001, 0.4055, 0.0125, -0.0001, 0.22990000000000002, 0.0008, 0.23390000000000002, -0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + -1.5 * Z(3) + -0.5 * Z(0) + -0.5 * Z(4) + -1.5 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(7) + 0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["01011010", "01011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4064) q[0];
rz(-0.0021) q[0];
rx(0.0029) q[1];
rz(0.2325) q[1];
rx(0.3982) q[2];
rz(0.0017) q[2];
rx(-0.0001) q[3];
rz(0.2299) q[3];
rx(-0.0011) q[4];
rz(0.2237) q[4];
rx(0.3886) q[5];
rz(0.0915) q[5];
rx(0.2358) q[6];
rz(0.2072) q[6];
rx(0.365) 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] x11;
in... | null | {"circuits": [], "gradients": []} |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [17, 1], "expectation_value": -3.251877300624112, "params": [-0.0005, 0.31970000000000004, 0.0037, 0.4213, 0.46740000000000004, 0.12300000000000001, 0.004200000000000001, 0.4445, 0.0031000000000000003, 0.35750000000000004, 0.0048000000000000004, 0.443, 0.6103000000000001, 0.009000000000000001, 0.0032, 0.3495... | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 3 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0005) q[0];
rz(0.3197) q[0];
rx(0.0037) q[1];
rz(0.4213) q[1];
rx(0.4674) q[2];
rz(0.123) q[2];
rx(0.0042) q[3];
rz(0.4445) q[3];
rx(0.0031) q[4];
rz(0.3575) q[4];
rx(0.0048) q[5];
rz(0.443) q[5];
rx(0.6103) q[6];
rz(0.009) q[6];
crz(0.0104) q[6], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
175dd49c484ef3d5fa3bd6c9677b2e54 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [215, 214], "expectation_value": -70.81432186043398, "params": [0.2864, 0.7655000000000001, 1.609, 0.007200000000000001, 1.6108, 0.20090000000000002, 0.4869, 0.5373, 1.6188, 0.3148, 0.20020000000000002, 0.7289, 1.6006, -0.001, 1.6113000000000002, 0.1953, 0.8331000000000001, 0.5674, 0.29150000000000004, 0.004... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2864) q[0];
rz(0.7655) q[0];
rx(1.609) q[1];
rz(0.0072) q[1];
rx(1.6108) q[2];
rz(0.2009) q[2];
rx(0.4869) q[3];
rz(0.5373) q[3];
rx(1.6188) q[4];
rz(0.3148) q[4];
rx(0.2002) q[5];
rz(0.7289) q[5];
rx(1.6006) q[6];
rz(-0.001) q[6];
rx(1.6113) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
0988170eca7455426f8605d49fd90d71 | 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": [231, 199], "expectation_value": -57.22556065720144, "params": [[[1.5722, 1.5674000000000001], [-0.5615, 1.5742], [-1.3562, 1.5428000000000002], [2.1032, 1.431], [1.5354, -0.10200000000000001], [0.5613, -0.0776], [-0.9878, 0.9039], [1.5679, 1.5683], [1.5737, 0.2802], [1.5739, 1.5729]]], "bitstrings": ["11000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(3) @ Z(4)) + 6.5 * (Z(0) @ Z(3)) + 6.5 * (Z(7) @ Z(3)) + 6.5 * (Z(7) @ Z(0)) + 6.5 * (Z(6) @ Z(7)) + 6.5 * (Z(8) @ Z(1)) + 6.5 * (Z(8) @ Z(7)) + 6.5 * (Z(8) @ Z(6)) + 6.5 * (Z(9) @ Z(3)) + 6.5 * (Z(9) @ Z(0)) + 6.5 * (Z(9) @ Z(7)) + 10.0 * Z(2) + 0.5 * Z(1) + 4.0 * Z... | 15 | 10 | 1 | {"smallest_eigenvalues": [-116.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["1100111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.5722) q[0];
ry(-0.5615) q[1];
ry(-1.3562) q[2];
ry(2.1032) q[3];
ry(1.5354) q[4];
ry(0.5613) q[5];
ry(-0.9878) q[6];
ry(1.5679) q[7];
ry(1.5737) q[8];
ry(1.5739) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
d30c0386d8d3b385abfc19e03f7b5ca3 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [14, 13], "expectation_value": -4.496464044051204, "params": null, "bitstrings": ["110001", "110010"], "total_optimization_steps": 25, "probabilities": [0.06634810230018152, 0.9303665171788271], "optimization_time": 21.70186495780945} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["110001", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.5681) q[0];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0342) q[5], q[4];
ry(0.7003) q[5];
ry(-0.4549) q[4];
cry(0.4963) q[3], q[5];
cry(-0.3789) q[3], q[4];
cry(0.2489) q[2], q[5];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[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 \"stdga... |
d6a0416211a923ad5745888e36470119 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target":... | {"states": [247, 511], "expectation_value": -16.43826434541405, "params": null, "bitstrings": ["100001000", "000000000"], "total_optimization_steps": 100, "probabilities": [0.10506150461807016, 0.40378563849672644], "optimization_time": 176.15350937843323} | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + -2.0 * (Z(5) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -2.0 ... | 5 | 9 | 1 | {"smallest_eigenvalues": [-21.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(1.5708) q[1], q[3];
cry(1.5708) q[3], q[4];
cry(1.1127) q[4], q[1];
cry(1.5708) q[0], q[2];
cry(0.3395) q[4], q[3];
cry(1.5708) q[6], q[7];
cry(1.5708) q[7], q[8];
cry(1.14) q[8], q[6]... | null | {"node": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(1.5708) q[1], 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... |
9645644fcb46d75a104e4de81b9201a7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [106, 43], "expectation_value": -4.244391983267604, "params": null, "bitstrings": ["0010101", "1010100"], "total_optimization_steps": 28, "probabilities": [0.0019201550878499567, 0.9963308260200148], "optimization_time": 20.04091477394104} | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(1) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(6) + 1.0 * Z(3) + -0.75 * Z(1) + -0.75 * Z(4) + 0.5 * Z(5) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.25, "smallest_bitstrings": ["1111110", "1111100", "1010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5681) q[3];
ry(1.4449) q[5];
cry(1.4433) q[5], q[1];
ry(1.4449) q[6];
cry(-1.5481) q[6], q[0];
ry(-1.4449) q[4];
cry(-1.4408) q[3], q[2];
cry(-0.1258) q[3], q[4];
cry(0.0892) q[3], q[5];
cry(0.089) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5681) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
7bc4dde9a09d0b94c5097b219891d81a | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 2}]} | {"states": [10, 3], "expectation_value": -1.9737567129598177, "params": null, "bitstrings": ["0101", "1100"], "total_optimization_steps": 13, "probabilities": [0.07348052951458199, 0.9007122774707554], "optimization_time": 4.351072072982788} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + 0.0 * Z(2) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(-1.5681) q[1];
ry(1.4449) q[2];
cry(-1.0343) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[2], q[3];
cry(-0.3789) q[2], q[0];
cry(0.1072) q[3], q[2];
cry(-0.0719) q[0], q[3];
cry(-0.0027) q[2], q[1];
cry(0.0284... | 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];\nry(-1.5681) q[1];\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 q[2];\... |
726a5ae01318539d56f80c3be6bbd791 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [44, 18], "expectation_value": -0.3650134285895975, "params": [[-0.07390000000000001], [0.0762]], "bitstrings": ["010011", "101101"], "total_optimization_steps": 10, "probabilities": [0.017722214123080515, 0.01818971691545844], "optimization_time": 1.3228294849395752} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["011011", "101101", "111010", "110011"]} | 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(-0.0739) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0739) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0739) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.0739) q[4];
cx q[0], q[4];
cx q[2], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx ... | null | {"circuits": [], "gradients": []} |
006a6b3bb7f441a393d4e8c64600f53a | 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}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 5}, {"weight": 18, "source": 1, "target": 7}, {"weight": 11, "sour... | {"states": [237, 236], "expectation_value": -33.12370723933299, "params": null, "bitstrings": ["100010010", "100010011"], "total_optimization_steps": 100, "probabilities": [0.08923281000037012, 0.21542681407916212], "optimization_time": 162.72096633911133} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(2)) + 9.0 * Z(1) + 10.0 * Z(0) + 14.0 * Z(2) + 10.5 * Z(3) + 11.0 * Z(5) + 5.0 * Z(4... | 1 | 9 | 1 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "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];
ry(22.4081) q[2];
ry(55.9789) q[3];
ry(0.7256) q[0];
ry(-12.904) q[6];
ry(62.951) q[5];
cry(22.3799) q[0], q[6];
cry(14.7006) q[0], q[5];
cry(2.5883) q[5], q[2];
cry(0.1591) q[0], q[2];
cr... | null | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"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(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.772994460740257, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.0422151246403947, 0.700429827740859], "optimization_time": 1424.7151935100555} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 1 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"]} | 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];
ry(1.5577) q[5];
ry(1.5577) q[0];
ry(1.5708) q[15];
ry(1.5708) q[9];
ry(1.5708) q[2];
cry(1.5681) q[2], q[14];
cry(1.5681) q... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
-1020667514739603365 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 6], [3, 4], [5, 7], [1, 2, 5, 6], [4, 5], [1, 10, 3], [2, 4, 7], [9, 5], [0, 9], [8, 9]]} | {"states": [858, 602], "expectation_value": -3.8783480630390796, "params": [[[-0.0022, 0.006500000000000001, 0.0089, 0.0068000000000000005], [1.0481, 0.0021000000000000003, 1.0506, 0.0097], [1.5379, 0.001, 0.0066, 0.006], [0.0608, -0.0279, 0.0039000000000000003, 0.0035], [3.1397, 0.0017000000000000001, 0.00900000000000... | 0.5 * (Z(10) @ Z(6)) + 0.16666666666666666 * (Z(3) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(6)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0... | 12 | 11 | 1 | {"smallest_eigenvalues": [-4.000000000000001], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["10110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0022) q[0];
rz(0.0065) q[0];
ry(1.0481) q[1];
rz(0.0021) q[1];
ry(1.5379) q[2];
rz(0.001) q[2];
ry(0.0608) q[3];
rz(-0.0279) q[3];
ry(3.1397) q[4];
rz(0.0017) q[4];
ry(-0.0027) q[5];
rz(-1.1084) q[5];
ry(3.1397) q[6];
rz(0.0007) q[6];
ry(-0.0027) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
93141c357d164fcf2a36ba666f8f01e3 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [1, 8], "expectation_value": -3.947597544561094, "params": [[0.08080000000000001, 0.06420000000000001], [-0.08710000000000001, -0.0678]], "bitstrings": ["1110", "0111"], "total_optimization_steps": 10, "probabilities": [0.11038497503788673, 0.1103849750378868], "optimization_time": 3.0454938411712646} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + -4.75 * Z(1) + -4.5 * Z(0) + -4.75 * Z(2) + -4.5 * Z(3) | 16 | 4 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.75, "smallest_bitstrings": ["1110", "0111"]} | 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(0.2828) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2828) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2828) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2828) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.3232) q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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];
... | {"k": 3} | {"circuits": [], "gradients": []} |
8f7a38bd0803f4ffee0480e6c5e7d5af | 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": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 4}, {"weight": 10, "source": 2, "target": 3}, {"weight": 1, "source... | {"states": [161, 165], "expectation_value": -71.2367424516548, "params": [[[-0.0024000000000000002, 1.5268000000000002], [1.5749, 0.0027], [-0.0026000000000000003, 1.5515], [1.5715000000000001, -0.0021000000000000003], [0.2232, -0.9426], [-0.0026000000000000003, 1.2087], [0.8698, -0.1618], [-0.003, -1.1561000000000001]... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ 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(3)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(6)) + 5.0 * (Z(8) @ Z(7)) + 3.5 * Z(1) +... | 1 | 9 | 2 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["101011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0024) q[0];
rz(1.5268) q[0];
rx(1.5749) q[1];
rz(0.0027) q[1];
rx(-0.0026) q[2];
rz(1.5515) q[2];
rx(1.5715) q[3];
rz(-0.0021) q[3];
rx(0.2232) q[4];
rz(-0.9426) q[4];
rx(-0.0026) q[5];
rz(1.2087) q[5];
rx(0.8698) q[6];
rz(-0.1618) q[6];
rx(-0.003) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
833c89e8aca800e5707fb47ea63f9088 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}]} | {"states": [43, 46], "expectation_value": -3.499883694175416, "params": null, "bitstrings": ["010100", "010001"], "total_optimization_steps": 23, "probabilities": [1.6349291399876233e-05, 0.9999151802438232], "optimization_time": 15.457348585128784} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[0];
ry(1.4417) q[2];
ry(1.4417) q[3];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[0], q[2];
cry(0.1216) q[2], q[3];
cry(0.1188) q[2], q[4];
cry(0.1186)... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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 \"stdga... |
fa12f3a697c97a90a7d75ad197dde7b9 | 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": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [40, 42], "expectation_value": -0.20052877307353711, "params": [[0.0722, 0.0714], [-0.0757, -0.07200000000000001]], "bitstrings": ["010111", "010101"], "total_optimization_steps": 10, "probabilities": [0.018655113718446543, 0.021714851298162606], "optimization_time": 4.417271614074707} | 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(2) @ Z(4)) + 0.0 * Z(0) + 0.0 * Z... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.75, "smallest_bitstrings": ["010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0361) q[0];
cx q[2], q[0];
cx q[1], q[0];
rz(0.0361) q[0];
cx q[1], q[0];
cx q[2], q[1];
rz(0.0361) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.0361) q[0];
cx q[1], q[0];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q... | null | {"circuits": [], "gradients": []} |
fa12f3a697c97a90a7d75ad197dde7b9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 5}]} | {"states": [13, 49], "expectation_value": -0.3611666286092279, "params": [[-0.004200000000000001, -0.0597, -0.0533, -0.014100000000000001], [-0.0734, 0.0524, 0.0661, 0.0429]], "bitstrings": ["110010", "001110"], "total_optimization_steps": 10, "probabilities": [0.020958024680626495, 0.0209580246806265], "optimization_t... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "101001", "101010", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0042) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0042) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0042) q[4];
cx q[0], q[4];
cx q[0], q[3];
rz(-0.0042) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | null | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 61.10351753234863} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["001010100", "001100010", "100001010", "010001100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(1.0343) q[4], q[6];
ry(1.0343) q[5];
cry(-1.3791) q[5], q[3];
cry(0.3667) q[0], q[5];
cry(1.0343) q[8], q[1];
cry(-1.4006) q[1], q[2]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
a145449c5913a1392d811f2ccc6af5aa | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target... | {"states": [21930, 43605], "expectation_value": -0.026148130087939616, "params": [[-0.08510000000000001], [0.0781]], "bitstrings": ["1010101001010101", "0101010110101010"], "total_optimization_steps": 10, "probabilities": [1.6949749862505422e-05, 1.6949749862505422e-05], "optimization_time": 21.79401159286499} | 0.25 * (Z(0) @ Z(1)) + -0.0006714876033057851 * (Z(2) @ Z(0)) + -0.0006714876033057851 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0005165289256198348 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + -0.0005165289256198348 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0231404958677355], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0231404958677013, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.0426) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
6c28370939b7d49c2e67d552301e0191 | matching | 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": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 12, "source": 1, "target": 4}, {"weight": 12, "source": 1, "tar... | {"states": [238, 236], "expectation_value": -65.1401854667054, "params": [0.2932, 0.31220000000000003, 0.7863, -0.0045000000000000005, 0.7909, -0.0004, 0.7863, 0.0349, 0.29510000000000003, 0.3104, 0.7908000000000001, 0.0067, 0.7928000000000001, -0.0776, 0.3687, -0.1822, 0.1371, 0.337, 0.2846, 0.3121, 0.7937000000000001... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(3)) + 5.5 * Z(1) +... | 18 | 9 | 4 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -66.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.2932) q[0];
rz(0.3122) q[0];
rx(0.7863) q[1];
rz(-0.0045) q[1];
rx(0.7909) q[2];
rz(-0.0004) q[2];
rx(0.7863) q[3];
rz(0.0349) q[3];
rx(0.2951) q[4];
rz(0.3104) q[4];
rx(0.7908) q[5];
rz(0.0067) q[5];
rx(0.7928) q[6];
rz(-0.0776) q[6];
rx(0.3687) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
5964534709385774514 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 3], [5, 6], [1, 4], [0, 4], [1, 6], [3, 6], [2, 6], [4, 6], [0, 2], [1, 2]]} | {"states": [106, 30], "expectation_value": -2.684521846778406, "params": null, "bitstrings": ["0010101", "1100001"], "total_optimization_steps": 55, "probabilities": [0.035972033988448, 0.6023382401694536], "optimization_time": 59.96176719665527} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(2) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["0011110", "1100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[4], q[6];
cry(-1.0342) q[4], q[0];
cry(1.3762) q[4], q[3];
cry(1.3762) q[4], q[2];
cry(-0.5309) q[2], q[6];
cry(-0.5309) q[3], q[0];
ry(0.8261) q[4];
ry(1.1881) q[5];
cry(-1.1768) q[4], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[4], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
7dd0a85ae083861a7e6473750beb50c4 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 25], "expectation_value": -1.043473750980088, "params": [[-0.062, -0.0502, -0.0654], [0.0748, 0.0669, 0.07010000000000001]], "bitstrings": ["1011001", "1100110"], "total_optimization_steps": 10, "probabilities": [0.013565865288940764, 0.014184068105121649], "optimization_time": 4.850590467453003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.0 * Z(1) + -2.0 * Z(0) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["1101100", "1100110", "1011001", "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(-0.062) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.062) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.062) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.062) q[3];
cx q[0], q[3];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
-3005684279554035216 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 4, 5], [0, 1, 2, 3, 5, 6], [1, 3, 4, 5], [1, 2, 4, 7], [0, 1, 2, 5, 6, 7], [4, 6], [1, 2, 3, 5, 6, 7], [0, 2, 4, 7], [1, 2, 3, 4], [1, 3, 4, 7]]} | {"states": [215, 243], "expectation_value": -1.3785226797414876, "params": [[0.36510000000000004], [-0.3609]], "bitstrings": ["00101000", "00001100"], "total_optimization_steps": 40, "probabilities": [0.012508424344031602, 0.012841912319639284], "optimization_time": 4.115431547164917} | 0.2 * (Z(0) @ Z(2)) + 0.2 * (Z(3) @ Z(2)) + 0.08333333333333334 * (Z(3) @ Z(0)) + 0.3 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z(4) @ Z(0)) + 0.3 * (Z(4) @ Z(3)) + 0.15 * (Z(5) @ Z(2)) + 0.11666666666666667 * (Z(5) @ Z(0)) + 0.2 * (Z(5) @ Z(3)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.26666666666666666 * (Z(1) @ Z(2))... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.366666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.3666666666666667, "smallest_bitstrings": ["00001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.146) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.146) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0609) q[3];
cx q[0], q[3];
cx q[2], q[4];
rz(0.2191) q[4];
cx q[2], q[4];
cx q[0], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1735102314025486566 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[0, 4], [0, 1], [0, 2], [1, 3]]} | {"states": [7, 13], "expectation_value": -1.7576928662994087, "params": null, "bitstrings": ["11000", "10010"], "total_optimization_steps": 27, "probabilities": [0.05733923162979708, 0.8271342482087165], "optimization_time": 14.931879043579102} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10010", "01101"]} | 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(-1.0342) q[4], q[0];
cry(-1.0342) q[1], q[3];
ry(1.0293) q[1];
ry(-0.6992) q[3];
cry(-0.6534) q[2], q[0];
ry(0.9979) q[4];
cry(1.1473) q[4], q[2];
ry(-0.5076) q[0];
cry(0.4404) q[2], q[1];
cry(0.3932) q[2], q[4];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[4], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
267f594e5cb21532a1a860c7d4e0717d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [25, 27], "expectation_value": -2.853049592815063, "params": [-0.006, 0.1525, -0.0044, 0.14550000000000002, 0.0601, 0.1332, 0.060200000000000004, 0.1241, 0.30010000000000003, -0.0745, 0.2992, 0.0078000000000000005, 0.2968, -0.0669, 0.2997, -0.040600000000000004, 0.0604, 0.12890000000000001, 0.060700000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.5 * Z(0) + 0.0 * Z(2) + -1.0 * Z(4) + 0.0 * Z(6) + -0.5 * Z(3) + -0.5 * Z(5) | 5 | 7 | 3 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100100", "1001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.006) q[0];
rz(0.1525) q[0];
rx(0.0601) q[1];
rz(0.1332) q[1];
rx(0.3001) q[2];
rz(-0.0745) q[2];
rx(0.2968) q[3];
rz(-0.0669) q[3];
rx(0.0604) q[4];
rz(0.1289) q[4];
rx(0.2932) q[5];
rz(-0.0659) q[5];
rx(0.3018) q[6];
rz(-0.0744) q[6];
crz(-0.0878) q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input fl... | null | {"circuits": [], "gradients": []} |
e2466d0e59f9ae9b15e99011693e125f | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.571935340393883, "params": null, "bitstrings": ["0101111", "0101101"], "total_optimization_steps": 36, "probabilities": [0.13263655759363732, 0.6774959132700998], "optimization_time": 44.749932289123535} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[1];
ry(-1.4449) q[5];
cry(-1.0398) q[2], q[4];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(0.7022) q[2];
ry(-0.4578) q[6];
ry(-0.4578) q[4];
cry(0.4586) q[2], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
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