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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
b5e203e63ec3496219a24352650f6c69 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [171, 122], "expectation_value": -10.491231380122631, "params": [[0.042100000000000005], [-0.0631]], "bitstrings": ["01010100", "10000101"], "total_optimization_steps": 10, "probabilities": [0.006774250648528697, 0.00778441371867885], "optimization_time": 2.929875612258911} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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];
cx q[1], q[0];
rz(0.3368) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3368) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3368) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3368) q[3];
cx q[2], 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[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
d718199120caa09970ec0112edaecdf9 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 3], "expectation_value": -8.846700728720633, "params": [[-0.0392, -0.031], [0.0468, 0.0458]], "bitstrings": ["1011110", "1111100"], "total_optimization_steps": 10, "probabilities": [0.013060920839339398, 0.013811439640802623], "optimization_time": 5.274738788604736} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 18 | 7 | 2 | {"smallest_eigenvalues": [-31.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.0, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2156) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2156) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2156) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | {"k": 5} | {"circuits": [], "gradients": []} |
4ded767c90d9410be35df06c5e86627d | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "ta... | {"states": [7, 127], "expectation_value": -1.1791774942304536, "params": [[0.0665], [-0.0693]], "bitstrings": ["1111000", "0000000"], "total_optimization_steps": 10, "probabilities": [0.01240594347734092, 0.01257848149224471], "optimization_time": 0.7314944267272949} | -2.0 * (Z(0) @ Z(1)) + 1.0 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + 0.5 * Z(1) + 1.0 * Z(0) + -1.5 * Z(2) + 1.0 * Z(3) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["0000000"]} | 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(-0.266) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.133) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3325) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.266) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2]... | {"node": 2} | {"circuits": [], "gradients": []} |
e6db2dfa08ae604c90d51443a84ac3aa | 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": 3}, {"source": 0, "target": 4}, {"source": ... | {"states": [1023, 895], "expectation_value": -0.7274984196208116, "params": [[0.0497], [-0.038200000000000005]], "bitstrings": ["0000000000", "0010000000"], "total_optimization_steps": 10, "probabilities": [0.0012750853849836873, 0.0012847751342211693], "optimization_time": 2.181668281555176} | -2.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.5 * (Z(4) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -2.0 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(7)) + -2.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["0010000000"]} | 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(-0.2485) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0497) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.2485) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.0497) q[4];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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(x0) q[0];
cx q[1], q... | {"node": 9} | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [49, 25], "expectation_value": -3.996464085561465, "params": null, "bitstrings": ["001110", "100110"], "total_optimization_steps": 23, "probabilities": [0.06634840431890607, 0.9303662506161934], "optimization_time": 16.295472145080566} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001110", "100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[3];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[5];
cry(-1.0343) q[2], q[0];
ry(0.7003) q[2];
ry(-0.4549) q[0];
cry(0.4963) q[1], q[2];
cry(-0.3789) q[1], q[0];
cry(0.2489) q[5], q[2];
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[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
983442ca2b6d0bd60908e6b5c7a55830 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [1983, 1935], "expectation_value": -14.139033191592846, "params": null, "bitstrings": ["00001000000", "00001110000"], "total_optimization_steps": 100, "probabilities": [0.08946695513862432, 0.5262173794779067], "optimization_time": 242.67769956588745} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -1.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["00001110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[6], q[5];
cry(1.5706) q[7], q[8];
ry(1.056) q[7];
cry(1.5707) q[7], q[10];
cry(1.5706) q[1], q[2];
ry(1.056) q[1];
cry(1.5707) q[1], q[0];
cry(1.5701) q[8]... | null | {"node": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[6], 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[... |
7dda09a38f354789ad2a3b94681dca6c | 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": [0, 480], "expectation_value": -1.465199869570894, "params": [[0.0616], [-0.0495]], "bitstrings": ["111111111", "000011111"], "total_optimization_steps": 10, "probabilities": [0.002926706731362683, 0.003049743998427774], "optimization_time": 2.8987619876861572} | -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... | 5 | 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;
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(-0.1848) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2464) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2464) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0616) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"node": 7} | {"circuits": [], "gradients": []} |
cb3c7c022cb9712afc36cb282644505f | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [13, 93], "expectation_value": -8.091459392578457, "params": null, "bitstrings": ["11110010", "10100010"], "total_optimization_steps": 58, "probabilities": [0.2131101648714886, 0.6404051915948014], "optimization_time": 94.44539976119995} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[6];
ry(-1.5706) q[2];
cry(-1.5706) q[7], q[0];
ry(1.1031) q[7];
ry(-0.5888) q[0];
cry(1.5271) q[3], q[1];
ry(1.5485) q[4];
cry(1.5271) q[4], q[5];
cry(0.3786) q[4], q[7];
cry(1.2166)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... |
11576eab70c2ec583415b5e8bd58f9e2 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [5, 7], "expectation_value": -0.7878533721919448, "params": [[[0.3175, 0.0886], [0.3133, 0.0888], [0.315, 0.093], [0.46190000000000003, -0.0004], [0.40650000000000003, 0.0045000000000000005], [0.43220000000000003, -0.005]], [[0.3165, 0.0886], [0.31170000000000003, 0.0886], [0.3109, 0.093], [0.4662, -0.000300... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + 1.75 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.3175) q[0];
rz(0.0886) q[0];
rx(0.3133) q[1];
rz(0.0888) q[1];
rx(0.315) q[2];
rz(0.093) q[2];
rx(0.4619) q[3];
rz(-0.0004) q[3];
rx(0.4065) q[4];
rz(0.0045) q[4];
rx(0.4322) q[5];
rz(-0.005) q[5];
rx(0.3165) q[0];
rz(0.0886) q[0];
rx(0.3117) q[1];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
cf866b0685f0f2b92fc41e952765f334 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 3, "source": 2, "target": 3... | {"states": [23, 31], "expectation_value": -2.3334370054922897, "params": [[0.1414, 0.14100000000000001], [-0.1288, -0.13240000000000002]], "bitstrings": ["1101000", "1100000"], "total_optimization_steps": 20, "probabilities": [0.028663216373672643, 0.03075336064962889], "optimization_time": 4.903802156448364} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(3)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -1.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 1.5 * Z(2) + 0.25... | 1 | 7 | 2 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["1100000", "1101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2121) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.1414) q[3];
cx q[1], q[3];
cx q[1], q[2];
rz(-0.2121) q[2];
cx q[1], q[2];
cx q[3], q[2];
rz(-0.2121) q[2];
cx q[3], q[2];
cx q[0], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-2306320440462638975 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 1, 5, 7, 9], [8, 7], [9, 3, 5], [0, 2, 3, 5, 8], [1, 2, 3, 5, 6, 7], [8, 1], [1, 3, 4, 6, 7], [0, 4, 5, 6, 9], [0, 5, 6, 7], [8, 3, 5, 6], [9, 2], [0, 8, 4], [4, 5, 6, 8, 9], [1, 3, 6, 7, 9], [2, 3, 4, 6], [4, 5, 6, 7, 9], [1, 2, 3, 4]]} | {"states": [1020, 1012], "expectation_value": -3.7167176285317303, "params": [1.5777, -0.0015, 1.5807, 0.007500000000000001, 1.4200000000000002, 0.0036000000000000003, 1.4231, 0.0029000000000000002, 1.0188000000000001, 0.0027, 1.0197, 0.0017000000000000001, 0.7957000000000001, -0.0551, 1.4731, 0.0702, 1.57, -0.00290000... | 0.05 * (Z(0) @ Z(1)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.23333333333333334 * (Z(5) @ Z(0)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.13333333333333333 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.1 * (Z(9) @ Z(1)) + 0.1 * (Z(9) @ Z(0)) + 0.36666666666666664 * (Z(9) @ Z(5)) + 0.15000000000000002 * (Z(... | 8 | 10 | 1 | {"smallest_eigenvalues": [-4.2], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.083333333333333, "smallest_bitstrings": ["0000001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.5777) q[0];
rz(-0.0015) q[0];
rx(1.42) q[1];
rz(0.0036) q[1];
rx(1.0188) q[2];
rz(0.0027) q[2];
rx(0.7957) q[3];
rz(-0.0551) q[3];
rx(1.57) q[4];
rz(-0.0029) q[4];
rx(1.577) q[5];
rz(0.0016) q[5];
rx(0.8724) q[6];
rz(-0.643) q[6];
rx(1.6332) 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": []} |
1214797689406940794 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 4, 6, 7], [0, 1, 7], [5, 7], [1, 3, 4, 5, 6], [0, 6], [0, 2, 3], [3, 4, 7], [0, 1, 4], [1, 2, 3, 6, 7], [0, 2, 5]]} | {"states": [220, 126], "expectation_value": -1.017131585818951, "params": [[0.27940000000000004], [-0.278]], "bitstrings": ["00100011", "10000001"], "total_optimization_steps": 30, "probabilities": [0.009654253538850174, 0.010173695414302372], "optimization_time": 1.6770455837249756} | 0.1 * (Z(1) @ Z(2)) + 0.05 * (Z(4) @ Z(2)) + 0.26666666666666666 * (Z(4) @ Z(1)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(4)) + 0.1 * (Z(7) @ Z(2)) + 0.26666666666666666 * (Z(7) @ Z(1)) + 0.21666666666666667 * (Z(7) @ Z(4)) + 0.1 * (Z(7) @ Z(6)) + 0.3333333333333333 * (Z(0) @ Z(2)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.7333333333333325], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5333333333333328, "smallest_bitstrings": ["10000001"]} | 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(0.0559) q[1];
cx q[2], q[1];
cx q[2], q[4];
rz(0.0279) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(0.149) q[4];
cx q[1], q[4];
cx q[2], q[6];
rz(0.0559) q[6];
cx q[2], q[6];
cx q[1], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] ... | null | {"circuits": [], "gradients": []} |
1595d9e5c57c79150f2cdc3703f424ba | 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": 1}, {"source": 1, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target":... | {"states": [149, 661], "expectation_value": -3.2163512509701087, "params": [[[1.619, 0.004], [1.5091, 0.0092], [1.6991, 0.0008], [0.40240000000000004, 0.006900000000000001], [-0.0035, 0.0053], [1.6982000000000002, 0.0028], [0.3925, 0.0038], [1.7074, 0.009300000000000001], [0.3403, 0.0051], [1.7088, 0.0066]]], "bitstrin... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(9) @ Z(8)) + -0.5 * Z(1) + 0.0 * Z(0) + -2.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + -1.0 * Z(3... | 1 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001101010", "0111100010", "1000111010", "0101101010", "1011100010", "0101011010", "0100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.619) q[0];
rz(0.004) q[0];
rx(1.5091) q[1];
rz(0.0092) q[1];
rx(1.6991) q[2];
rz(0.0008) q[2];
rx(0.4024) q[3];
rz(0.0069) q[3];
rx(-0.0035) q[4];
rz(0.0053) q[4];
rx(1.6982) q[5];
rz(0.0028) q[5];
rx(0.3925) q[6];
rz(0.0038) q[6];
rx(1.7074) 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": []} |
d081b5ece414d97b04408b0b42241cfc | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [1615, 1551], "expectation_value": -14.966585387217014, "params": [1.4962, 0.004, 1.5008000000000001, 0.23320000000000002, 0.44970000000000004, 0.7941, 0.44220000000000004, 0.7613000000000001, 0.8839, 0.5754, -0.0022, -0.4788, 0.0137, -0.7974, 1.4949000000000001, -0.0024000000000000002, 1.492, -0.00290000000... | 0.375 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(3) @ Z(7)) + 0.375 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(8)) + -... | 18 | 11 | 2 | {"smallest_eigenvalues": [-16.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["00111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.4962) q[0];
rz(0.004) q[0];
rx(1.5008) q[1];
rz(0.2332) q[1];
rx(0.4497) q[2];
rz(0.7941) q[2];
rx(0.4422) q[3];
rz(0.7613) q[3];
rx(0.8839) q[4];
rz(0.5754) q[4];
rx(-0.0022) q[5];
rz(-0.4788) q[5];
rx(0.0137) q[6];
rz(-0.7974) q[6];
rx(1.4949) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
24ec85ceb3f94374e977a871ddcf35bc | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [36, 37], "expectation_value": -2.0115856568087613, "params": [[[1.6015000000000001, 0.008700000000000001], [-0.0046, 0.008], [0.37820000000000004, 0.0068000000000000005], [1.6072000000000002, 0.0058000000000000005], [1.2335, 0.0076], [1.6006, 0.0047]]], "bitstrings": ["011011", "011010"], "total_optimizatio... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + -0.5 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "010011", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.6015) q[0];
rz(0.0087) q[0];
rx(-0.0046) q[1];
rz(0.008) q[1];
rx(0.3782) q[2];
rz(0.0068) q[2];
rx(1.6072) q[3];
rz(0.0058) q[3];
rx(1.2335) q[4];
rz(0.0076) q[4];
rx(1.6006) q[5];
rz(0.0047) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
73162755fd3fb63ec250bb0297031b85 | 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": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [7, 13], "expectation_value": -0.46109774962354927, "params": [[-0.08320000000000001, -0.0689], [0.0805, 0.068]], "bitstrings": ["111000", "110010"], "total_optimization_steps": 10, "probabilities": [0.021302203834403545, 0.021302203834403545], "optimization_time": 2.2967028617858887} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(4) + 0.0 * Z(5) + -1.0 * Z(1) + 0.0 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["110010", "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[2], q[0];
rz(-0.0832) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(-0.0832) q[4];
cx q[2], q[4];
cx q[0], q[4];
rz(-0.0832) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0832) q[5];
cx q[0], q[5];
cx q[2], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[4];
rz(x0) q[4];
c... | null | {"circuits": [], "gradients": []} |
839ce7a9ccbbc86e736e03fe391c618a | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 6},... | {"states": [79, 15], "expectation_value": -0.13364161549921436, "params": [[0.0058000000000000005], [-0.0201]], "bitstrings": ["11110110000", "11111110000"], "total_optimization_steps": 10, "probabilities": [0.0005026964993008808, 0.0005036203012734608], "optimization_time": 16.213863611221313} | -3.0 * (Z(0) @ Z(1)) + 1.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -4.0 * (Z(2) @ Z(5)) + -3.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(6) @ Z(2)) + 1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + -3.0 * (Z(3) @ Z(2)) + -3.0... | 1 | 11 | 1 | {"smallest_eigenvalues": [-37.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.5, "smallest_bitstrings": ["11111110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.0348) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0174) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0406) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(-0.0406)... | 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[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"node": 6} | {"circuits": [], "gradients": []} |
7d24aa80c4b1d40dd561c6b6bccbf7db | community_detection | 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": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [43349, 43605], "expectation_value": -1.8225402906317216, "params": [[0.5008, 0.1019, 1.5999, 0.1321, 1.5527, 0.24960000000000002, 1.6436000000000002, 1.5617, 0.12200000000000001, 1.5665, 0.0954, 1.5659, 0.097, 1.6102, 0.1, 0.9554], [1.8002, 0.1178, 1.5362, 0.10490000000000001, 1.5897000000000001, 0.1406, 0.... | 0.25 * (Z(0) @ Z(1)) + -0.001020408163265306 * (Z(2) @ Z(0)) + -0.001020408163265306 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0003826530612244898 * (Z(4) @ Z(0)) + -0.0015306122448979593 * (Z(4) @ Z(2)) + 0.0003826530612244898 * (Z(5) @ Z(1)) + -0.0015306122448979593 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.001403... | 10 | 16 | 1 | {"smallest_eigenvalues": [-2.021683673469361], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0216836734693566, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(0.5008) q[0];
ry(0.1019) q[1];
ry(1.5999) q[2];
ry(0.1321) q[3];
ry(1.5527) q[4];
ry(0.2496) q[5];
ry(1.6436) q[6];
ry(1.5617) q[7];
ry(0.122) q[8];
ry(1.5665) q[9];
ry(0.0954) q[10];
ry(1.5659) q[11];
ry(0.097) q[12];
ry(1.6102) q[13];
ry(0.1) q[14];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | edge_cover | qaoa | {"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": [4, 1], "expectation_value": -0.03297321074842899, "params": [[0.030000000000000002, 0.0521], [-0.0196, -0.0383]], "bitstrings": ["011", "110"], "total_optimization_steps": 10, "probabilities": [0.1278047459055971, 0.12780474590559712], "optimization_time": 1.945962905883789} | 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];
cx q[1], q[0];
rz(0.03) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.03) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.03) q[1];
cx q[2], q[1];
rz(-0.03) q[0];
rz(-0.03) q[1];
rz(-0.03) q[2];
h q[0];
rz(-0.0392) q[0];
h q[0];
h q[1];
rz(-0.0392)... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx... | null | {"circuits": [], "gradients": []} |
-7075643403611625665 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 10, 11, 6], [0, 3, 5, 8, 10, 11, 12], [12, 4], [8, 3, 12, 6], [8, 2], [2, 3, 5, 6, 10, 11], [11, 12, 6, 7], [9, 12, 7], [0, 9, 3], [3, 4, 7], [2, 5, 6, 9, 11], [1, 4, 5, 7], [0, 1, 4, 8, 10, 11], [0, 1, 2, 4, 5, 6, 9, 10], [10, 11, 12, 6], [0, 1, ... | {"states": [2815, 2751], "expectation_value": -3.849455836700526, "params": [[[-0.0044, 0.0037, 0.0049, 0.0017000000000000001], [0.45230000000000004, 0.0023, 1.3381, 0.0007], [-0.0159, 0.0081, 0.0023, 0.0081], [0.3924, 0.0021000000000000003, 1.367, 0.008700000000000001], [0.1494, 0.0098, 0.008700000000000001, 0.0064], ... | 0.14047619047619048 * (Z(8) @ Z(10)) + 0.29047619047619044 * (Z(11) @ Z(10)) + 0.14047619047619048 * (Z(11) @ Z(8)) + 0.21785714285714286 * (Z(6) @ Z(10)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.36666666666666664 * (Z(6) @ Z(11)) + 0.075 * (Z(0) @ Z(10)) + 0.05714285714285714 * (Z(0) @ Z(8)) + 0.08095238095238094 * (... | 12 | 13 | 1 | {"smallest_eigenvalues": [-5.404761904761903], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.2285714285714295, "smallest_bitstrings": ["1010101000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0044) q[0];
rz(0.0037) q[0];
ry(0.4523) q[1];
rz(0.0023) q[1];
ry(-0.0159) q[2];
rz(0.0081) q[2];
ry(0.3924) q[3];
rz(0.0021) q[3];
ry(0.1494) q[4];
rz(0.0098) q[4];
ry(0.3798) q[5];
rz(-0.0022) q[5];
ry(1.5416) q[6];
rz(0.0011) q[6];
ry(0.2287) 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": []} |
2106018384834704977 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2], [8, 2, 5], [8, 1], [1, 4, 5], [2, 7], [0, 8, 2], [5, 7], [8, 0, 3], [5, 6], [1, 4, 7], [3, 4, 5], [8, 4], [2, 3], [3, 6], [8, 6, 7], [0, 1]]} | {"states": [169, 171], "expectation_value": -0.1802068236141432, "params": [[-0.0816], [0.0748]], "bitstrings": ["101010110", "101010100"], "total_optimization_steps": 10, "probabilities": [0.0023256130612124104, 0.002362886056236104], "optimization_time": 2.400355339050293} | 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.3333333333333333 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + 0.16666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.499999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.8333333333333353, "smallest_bitstrings": ["101010100"]} | 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(-0.0816) q[1];
cx q[2], q[1];
cx q[2], q[8];
rz(-0.0544) q[8];
cx q[2], q[8];
cx q[1], q[8];
rz(-0.0816) q[8];
cx q[1], q[8];
cx q[2], q[5];
rz(-0.0272) q[5];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x0) q[1];
cx q[2], q[1];
cx q[2], q[8];
rz(x1) q[8];
cx q[2], q[8];
cx... | null | {"circuits": [], "gradients": []} |
6573790533608945682 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 7], [2, 5], [0, 3, 7], [0, 1, 7], [3, 4, 7], [0, 3, 5], [3, 6], [0, 2, 3], [1, 4, 5], [1, 2, 4], [0, 1, 6], [4, 6, 7], [1, 5, 7], [5, 6], [3, 5, 7], [2, 6, 7], [0, 3, 4], [1, 6, 7]]} | {"states": [113, 143], "expectation_value": -0.2501392328277224, "params": [[-0.0608], [0.0723]], "bitstrings": ["10001110", "01110000"], "total_optimization_steps": 10, "probabilities": [0.004384393789168022, 0.0043932038423600455], "optimization_time": 0.9322061538696289} | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.6666666666666666 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.499999999999997], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.166666666666668, "smallest_bitstrings": ["01110000"]} | 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(-0.0405) q[0];
cx q[2], q[0];
cx q[2], q[7];
rz(-0.0405) q[7];
cx q[2], q[7];
cx q[0], q[7];
rz(-0.0608) q[7];
cx q[0], q[7];
cx q[2], q[5];
rz(-0.0608) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
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];
r... | null | {"circuits": [], "gradients": []} |
-4542735950983365793 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[1, 3, 4, 5, 6, 9, 10], [8, 0, 2, 4], [4, 7]]} | {"states": [1018, 1010], "expectation_value": -0.9052235648699569, "params": [0.6252, 1.0614000000000001, 0.5926, 0.007500000000000001, 1.9792, 0.25570000000000004, 0.6339, 0.0074, 1.9807000000000001, 0.43770000000000003, 0.7378, 0.007500000000000001, 1.9814, 0.34550000000000003, 1.1472, 0.0013000000000000002, 1.978500... | 0.023809523809523808 * (Z(1) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(4)) + 0.023809523809523808 * (Z(5) @ Z(1)) + 0.023809523809523808 * (Z(6) @ Z(4)) + 0.023809523809523808 * (Z(6) @ Z(1)) + 0.023809523809523808 * (Z(6) @ Z(5)) + 0.023809523809523808 * (Z(7) @ Z(4)) + 0.023809523809523808 * (Z(7) @ Z(1)) + 0.023809... | 5 | 11 | 1 | {"smallest_eigenvalues": [-0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, -0.9404761904761904, ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6252) q[0];
rz(1.0614) q[0];
rx(1.9792) q[1];
rz(0.2557) q[1];
rx(1.9807) q[2];
rz(0.4377) q[2];
rx(1.9814) q[3];
rz(0.3455) q[3];
rx(1.9785) q[4];
rz(0.0647) q[4];
rx(1.8387) q[5];
rz(-0.0414) q[5];
rx(1.9865) q[6];
rz(0.3653) q[6];
rx(1.7602) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ca73abee2b018455955f199f9f478c21 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"sour... | {"states": [15, 239], "expectation_value": -9.31133596344517, "params": null, "bitstrings": ["11110000", "00010000"], "total_optimization_steps": 92, "probabilities": [0.09737770481886378, 0.5292921794337098], "optimization_time": 109.77444338798523} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(3) | 5 | 8 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00010000"]} | 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(1.5706) q[6], q[7];
ry(1.056) q[6];
cry(1.5708) q[7], q[4];
cry(0.4026) q[4], q[7];
cry(1.5705) q[7], q[5];
cry(1.5681) q[1], q[2];
cry(1.5708) q[2], q[0];
cry(1.2536) q[0], q[1];
cry(0.4771) ... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
0f1d9308b8b1d06d30bfa4de6cbc9040 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": ... | {"states": [2, 3], "expectation_value": -11.775951577745985, "params": [[[0.1105, -0.24750000000000003], [0.17600000000000002, -0.21810000000000002], [0.1612, 0.2295], [0.1587, 0.22920000000000001], [0.5913, 0.0012000000000000001], [0.5865, 0.0011]], [[0.11520000000000001, -0.2474], [0.1787, -0.2177], [0.1622, 0.229200... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.25 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.25 * (Z(5) @ Z(3)) + 2.... | 1 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1105) q[0];
rz(-0.2475) q[0];
rx(0.176) q[1];
rz(-0.2181) q[1];
rx(0.1612) q[2];
rz(0.2295) q[2];
rx(0.1587) q[3];
rz(0.2292) q[3];
rx(0.5913) q[4];
rz(0.0012) q[4];
rx(0.5865) q[5];
rz(0.0011) q[5];
rx(0.1152) q[0];
rz(-0.2474) q[0];
rx(0.1787) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
5553213675099766051 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 3, 4], [1, 2, 5], [1, 2, 3], [0, 2, 4, 5], [0, 2, 3, 5], [0, 1, 3, 4, 5]]} | {"states": [60, 58], "expectation_value": -1.5902269398697393, "params": null, "bitstrings": ["000011", "000101"], "total_optimization_steps": 25, "probabilities": [0.022419632829742662, 0.9447509275512487], "optimization_time": 22.111341953277588} | 0.41666666666666663 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.05 * (Z(1) @ Z(4)) + 0.13333333333333333 * (Z(5) @ Z(3)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(5) @ Z(4)) + 0.21666666... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.6166666666666671], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5333333333333332, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5486) q[2];
ry(0.822) q[0];
cry(0.4487) q[2], q[0];
cry(-0.5717) q[1], q[5];
ry(0.4712) q[1];
cry(-0.6149) q[4], q[3];
cry(0.4564) q[2], q[1];
cry(-0.583) q[0], q[5];
ry(0.5558) q[4];
cry(-0.5897) q[1], q[3]... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5486) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
e59de3ddaee8f7b5a20291d843d2f52d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [137, 201], "expectation_value": -5.578950286687626, "params": [2.0721000000000003, 0.4294, 1.0801, 0.0097, 0.895, 0.4828, 0.8693000000000001, 0.0054, -0.0028, -1.2898, -0.0028, 0.0045000000000000005, 0.0036000000000000003, 1.3801, -0.0037, 0.0067, 2.0811, 0.37060000000000004, 1.0696, 0.00030000000000000003,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.5 * Z(3) + -1.5 * Z(1) + ... | 5 | 8 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(2.0721) q[0];
rz(0.4294) q[0];
rx(0.895) q[1];
rz(0.4828) q[1];
rx(-0.0028) q[2];
rz(-1.2898) q[2];
rx(0.0036) q[3];
rz(1.3801) q[3];
rx(2.0811) q[4];
rz(0.3706) q[4];
rx(0.0966) q[5];
rz(1.7105) q[5];
rx(0.3924) q[6];
rz(-1.0109) q[6];
rx(2.0861) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8ccb61531a0518dab46daa7987f55ae4 | 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": 3, "target": 4}, {"source": 3, "target":... | {"states": [448, 455], "expectation_value": -1.3016211901668326, "params": [[0.0771], [-0.0845]], "bitstrings": ["000111111", "000111000"], "total_optimization_steps": 10, "probabilities": [0.0036982369665706245, 0.003932954502335316], "optimization_time": 1.467005729675293} | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + 1.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -1.5 * Z(4) + -1.5 * Z(3) + -1.5 * Z(5) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000111000"]} | 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(-0.2313) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2313) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2313) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.3084) q[3];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[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(x0) q[2];
cx q[1], q[2];
cx... | {"node": 3} | {"circuits": [], "gradients": []} |
47c90a1844bb68a81c49cc01fe4989e8 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 1, "source": 2, "target": 4}, {"capaci... | {"states": [239, 255], "expectation_value": -23.859586505077953, "params": [-0.0024000000000000002, 0.006200000000000001, -0.0024000000000000002, 0.003, 3.1431, 0.0027, 3.1445000000000003, 0.0081, 3.1444, 0.0039000000000000003, -1.5971000000000002, 0.0034000000000000002, 3.1441000000000003, 0.0037, 3.1444, 0.0014, 3.14... | 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(3) @ Z(4)) + 2.0 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 1.0 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 2.0 * (Z(7) @ Z(3)) + 2.0 * (Z(7) @ Z(6)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z... | 18 | 10 | 1 | {"smallest_eigenvalues": [-24.833333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.833333333333332, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0024) q[0];
rz(0.0062) q[0];
rx(-0.0024) q[1];
rz(0.003) q[1];
rx(3.1431) q[2];
rz(0.0027) q[2];
rx(3.1445) q[3];
rz(0.0081) q[3];
rx(3.1444) q[4];
rz(0.0039) q[4];
rx(-1.5971) q[5];
rz(0.0034) q[5];
rx(3.1441) q[6];
rz(0.0037) q[6];
rx(3.1444) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
e61b9b6cad8366f7e670366fe202a3e7 | 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": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [95, 122], "expectation_value": -38.68801423989735, "params": null, "bitstrings": ["10100000", "10000101"], "total_optimization_steps": 100, "probabilities": [0.08084364950683393, 0.15591172189812116], "optimization_time": 154.11563992500305} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "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(34.778) q[3];
ry(2.9174) q[1];
ry(62.9644) q[4];
ry(63.1256) q[2];
cry(-63.359) q[2], q[3];
ry(17.0178) q[6];
cry(-62.8095) q[1], q[3];
cry(6.7393) q[7], q[3];
ry(9.4026) q[5];
cry(-25.2145) q[... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(34.778) q[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[... |
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": 12.589357137680054} | 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 | 2 | {"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]... |
ab341360a725e6b2f6204b135ea8e845 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [93, 127], "expectation_value": -5.1539767047663725, "params": null, "bitstrings": ["10100010", "10000000"], "total_optimization_steps": 93, "probabilities": [0.10321331130247145, 0.6402260394154703], "optimization_time": 148.77804470062256} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "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];
cry(1.5486) q[3], q[4];
cry(1.2305) q[4], q[3];
cry(1.5355) q[6], q[2];
cry(1.4868) q[3], q[7];
cry(-1.5156) q[7], q[0];
cry(1.042) q[3], q[6];
cry(0.5838) q[3], q[2];
cry(1.3015) q[4], q[5];
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(1.5486) q[3], 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] = mea... |
b497384e93a4c96d9fcd2e470c75745d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [349, 348], "expectation_value": -143.47357790087617, "params": [-0.0032, -0.8424, -0.0021000000000000003, 0.9338000000000001, 1.3965, 0.0012000000000000001, 0.0029000000000000002, 0.7558, 1.3977000000000002, 0.2363, 0.5837, -0.40080000000000005, 1.405, -0.18430000000000002, 1.3995, 0.0012000000000000001, 1.... | 8.0 * (Z(2) @ Z(1)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(2)) + 8.0 * (Z(7) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(8) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(0) @ Z(8)) + 8.0 * (Z(9) @ Z(6)) + 8.0 * (Z(10) @ Z(2)) + 8.0 * (Z(10... | 16 | 11 | 2 | {"smallest_eigenvalues": [-167.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -145.0, "smallest_bitstrings": ["11010100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0032) q[0];
rz(-0.8424) q[0];
rx(-0.0021) q[1];
rz(0.9338) q[1];
rx(1.3965) q[2];
rz(0.0012) q[2];
rx(0.0029) q[3];
rz(0.7558) q[3];
rx(1.3977) q[4];
rz(0.2363) q[4];
rx(0.5837) q[5];
rz(-0.4008) q[5];
rx(1.405) q[6];
rz(-0.1843) q[6];
rx(1.3995) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
d2ddfecd7d6420786c764f94efa2fde7 | 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": [1112, 1368], "expectation_value": -100.83734946544986, "params": [[[0.3659, 0.0056], [0.2497, -0.0026000000000000003], [0.5792, 0.0098], [0.0989, 0.0011], [0.9166000000000001, 0.2359], [0.07010000000000001, 0.36060000000000003], [-0.0541, 0.9338000000000001], [-0.0497, 0.2657], [-0.1477, 1.0846], [1.0892, 0... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(10) @ Z(0)) + 7.0 * (Z(10) @ Z(4)) + -5.5 * Z(1) + 16.5 * Z(0) + -2.0 * Z(3) + 0.5 * Z(2) + 16.0 * Z(4) + 2.0 * Z... | 15 | 11 | 3 | {"smallest_eigenvalues": [-112.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -107.5, "smallest_bitstrings": ["01010100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.3659) q[0];
ry(0.2497) q[1];
ry(0.5792) q[2];
ry(0.0989) q[3];
ry(0.9166) q[4];
ry(0.0701) q[5];
ry(-0.0541) q[6];
ry(-0.0497) q[7];
ry(-0.1477) q[8];
ry(1.0892) q[9];
ry(0.2812) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
a617cd4648156ddc77f993201a7a952c | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [21, 7], "expectation_value": -23.04861595515255, "params": null, "bitstrings": ["11101010", "11111000"], "total_optimization_steps": 84, "probabilities": [0.1117387711381538, 0.6314404591857681], "optimization_time": 197.9412705898285} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 3.0 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3.... | 6 | 8 | 1 | {"smallest_eigenvalues": [-24.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.75, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-0.7752) q[0];
ry(-0.4042) q[1];
ry(-1.2867) q[2];
cry(-1.1666) q[7], q[1];
cry(-0.7955) q[6], q[0];
cry(-1.5708) q[5], q[4];
ry(1.0978) q[5];
cry(-1.5708) q[6], q[3];
ry(0.9474) q[6];
ry(-0.46... | null | {"k": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-0.7752) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
e9fb8593211145d726423aa6ab4e37d0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 0, "target":... | {"states": [256, 1021], "expectation_value": -10.983777393905857, "params": [[[0.0013000000000000002, 0.6025], [0.0031000000000000003, 0.0015], [0.5867, 0.0029000000000000002], [0.0025, 0.0027], [0.0028, 0.0018000000000000002], [0.003, 0.0019], [0.0029000000000000002, 0.0024000000000000002], [0.002, 0.00170000000000000... | -0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(9) @ Z(5)) + -0.5 * (Z(9) @ Z(0)) + -0.5 * (Z(10) @ Z(0)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(1) @ Z(10)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(10)) + -1.0 * (Z(4) @ Z(1)) + -0.25 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 15 | 11 | 3 | {"smallest_eigenvalues": [-12.5, -12.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -11.5, "smallest_bitstrings": ["10000000010", "10000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0013) q[0];
ry(0.0031) q[1];
ry(0.5867) q[2];
ry(0.0025) q[3];
ry(0.0028) q[4];
ry(0.003) q[5];
ry(0.0029) q[6];
ry(0.002) q[7];
ry(0.0026) q[8];
ry(-0.001) q[9];
ry(0.0035) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], 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": 10} | {"circuits": [], "gradients": []} |
30e28b56cad01a233ddf0894e9b7eaa8 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 16, "source": 1, "target": 4}, {"weight": 5... | {"states": [126, 118], "expectation_value": -28.43225278381446, "params": [[-0.0318, -0.0204, 0.0016, 0.0123], [0.057100000000000005, 0.06430000000000001, 0.07, 0.06330000000000001]], "bitstrings": ["10000001", "10001001"], "total_optimization_steps": 10, "probabilities": [0.021058427571677363, 0.028263616260387446], "... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(3)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) @ Z(6)) + 10.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2226) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.2226) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.2226) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(-0.2226) q[3];
cx q[2], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
4421c497e819297a0c75498974257550 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 7}, {"weight": 20, "source": 1, "target": 4}, {"weight": 15, "source": 1, "tar... | {"states": [242, 236], "expectation_value": -27.84062130949045, "params": [[-0.0383, -0.0035, 0.0074], [0.07730000000000001, 0.0776, 0.0721]], "bitstrings": ["100001101", "100010011"], "total_optimization_steps": 10, "probabilities": [0.010680283302155315, 0.01254638602996268], "optimization_time": 6.4984681606292725} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ 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(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)) + 10.0 * Z(1) + 6.5 * Z(0) + 16.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-71.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3447) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.3447) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.3447) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(-0.3447) q[2];
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": []} |
54a88e4bf9eba50970f4f6239c6ad816 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 1, "s... | {"states": [111, 239], "expectation_value": -6.491343794723452, "params": null, "bitstrings": ["110010000", "100010000"], "total_optimization_steps": 68, "probabilities": [0.00415858273822145, 0.9910444896765185], "optimization_time": 120.40634083747864} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.25 * (Z(3) @ Z(7)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(5)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "110010000", "111011110", "100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5708) q[3];
cry(1.5486) q[3], q[6];
cry(-1.5486) q[6], q[4];
cry(1.4448) q[3], q[7];
cry(1.548) q[7], q[2];
cry(1.4434) q[7], q[1];
cry(1.4433) q[3], q[8];
cry(-1.448) q[8], q[0];
cry... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
b1d372339221d146065dc00eaacfa9f7 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [4032, 4088], "expectation_value": -14.69251370586187, "params": [1.4686000000000001, 1.2039, -0.0034000000000000002, 0.001, 2.6388000000000003, 0.5012, -0.023100000000000002, 0.0257, -1.9024, -0.4863, 0.6308, -0.6910000000000001, 0.9583, 0.8857, 0.0018000000000000002, 0.0034000000000000002, -0.0036000000000... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * (Z(9) @ Z(10)) + 0.5 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(5) + 0.5 * ... | 14 | 12 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.4686) q[0];
ry(-0.0034) q[1];
ry(2.6388) q[2];
ry(-0.0231) q[3];
ry(-1.9024) q[4];
ry(0.6308) q[5];
ry(0.9583) q[6];
ry(0.0018) q[7];
ry(-0.0036) q[8];
ry(0.0036) q[9];
ry(-0.0018) q[10];
ry(0.4775) q[11];
crx(1.6914) q[11], q[0];
crx(-0.0433) q[10], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 10} | {"circuits": [], "gradients": []} |
2497a3606796f89526680dbe0483c469 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 8}, {"weight": 6, "source... | {"states": [412, 220], "expectation_value": -9.32695272796977, "params": [[-0.053500000000000006], [0.0781]], "bitstrings": ["001100011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.00457366877331523, 0.005113262310237138], "optimization_time": 1.5631201267242432} | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(3) @ Z(4)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(6) @ Z(2)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(5)) + 9.0 * Z(1) + 3.5 * Z(0) + 7.5 * Z(2) + 13.0 * Z(4) + 8.0 * Z(3) + 13.5 * Z(5) + 10.0 * Z(6) + -2.5 *... | 1 | 9 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.535) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.535) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(-0.535) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.535) q[5];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
3be62d904e3c491ed9eeb750b53bffe0 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 3, "source": 0, "t... | {"states": [110, 109], "expectation_value": -10.178391125130297, "params": [[0.0444], [-0.0737]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.007900466219241264, 0.008147118175611093], "optimization_time": 1.9039454460144043} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(4)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 6.0 * Z(0) + 18.0 * ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -63.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3996) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.3996) q[4];
cx q[1], q[4];
cx q[0], q[2];
rz(0.3996) q[2];
cx q[0], q[2];
cx q[4], q[2];
rz(0.3996) q[2];
cx q[4], q[2];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-9104836012877276845 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 5], [1, 3], [0, 2, 4], [0, 4, 5, 6], [2, 4, 6], [3, 4, 5]]} | {"states": [54, 91], "expectation_value": -0.5432310887236962, "params": [[-0.253], [0.2579]], "bitstrings": ["1001001", "0100100"], "total_optimization_steps": 30, "probabilities": [0.015243226218172683, 0.015292146107628444], "optimization_time": 2.303510904312134} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.0833333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["0100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0843) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0843) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.1265) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-0.253) q[3];
cx q[1], q[3];
cx q[5], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
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[1], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
79d3baa57f55efbf39bb649ed9c5379a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 4}, {"weight": 16, "source": 1, "tar... | {"states": [243, 234], "expectation_value": -15.134412678077304, "params": [[-0.0412, -0.014700000000000001], [0.0671, 0.0441]], "bitstrings": ["100001100", "100010101"], "total_optimization_steps": 10, "probabilities": [0.0057416149358708365, 0.006447286893439225], "optimization_time": 6.585177183151245} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-79.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "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(-0.3708) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.3708) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.3708) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3708) q[2];
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": []} |
ab957251534d09507f870c3a6ef42154 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 4}]} | {"states": [52, 20], "expectation_value": -1.4999777921351996, "params": [0.396, 0.0017000000000000001, 0.39630000000000004, -0.004, 0.001, -0.3042, 0.391, -0.0032, -0.0006000000000000001, 0.30970000000000003, 0.3916, 0.0089, 0.39230000000000004, 0.0023, 0.3931, -0.0063, 0.0023, -0.304, 0.395, -0.0035, 0.0038, 0.3111, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.75 * Z(2) + -0.25 * Z(3) + -0.75 * Z(4) + -... | 3 | 6 | 4 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.5, "smallest_bitstrings": ["011110", "111010", "101011", "001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.396) q[0];
rz(0.0017) q[0];
rx(0.3963) q[1];
rz(-0.004) q[1];
rx(0.001) q[2];
rz(-0.3042) q[2];
rx(0.391) q[3];
rz(-0.0032) q[3];
rx(-0.0006) q[4];
rz(0.3097) q[4];
rx(0.3916) q[5];
rz(0.0089) q[5];
crz(0.0074) q[5], q[4];
crz(-0.2953) q[4], q[3];
crz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1ba2ebfd309b0e7a51e89a9f5e1fc243 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capac... | {"states": [129, 131], "expectation_value": -8.34101526535068, "params": [-0.0035, -0.6006, -0.0014, -0.5893, 0.0073, -0.6473, -0.0006000000000000001, -0.643, 0.7876000000000001, 0.0568, 0.789, -0.049300000000000004, -0.0009000000000000001, -0.6541, -0.006200000000000001, -0.6521, -0.0049, -0.6471, -0.0014, -0.6569, -0... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(7) @ Z(2)) + -0.5 * (Z(8) @ Z(2)) + 1.25 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(2)) + -0.5 * (Z(9) @... | 5 | 10 | 2 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.0, "smallest_bitstrings": ["1001111100", "1001111000", "1101111100", "1101111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0035) q[0];
rz(-0.6006) q[0];
rx(0.0073) q[1];
rz(-0.6473) q[1];
rx(0.7876) q[2];
rz(0.0568) q[2];
rx(-0.0009) q[3];
rz(-0.6541) q[3];
rx(-0.0049) q[4];
rz(-0.6471) q[4];
rx(-0.0052) q[5];
rz(-0.6226) q[5];
rx(-0.0041) q[6];
rz(-0.6416) q[6];
rx(0.0082... | OPENQASM 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": []} |
a09fd8263c85c42edd74a3289977a8b3 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, ... | {"states": [23, 89], "expectation_value": -0.12492459866478518, "params": [[-0.0699], [0.0678]], "bitstrings": ["1101000", "0100110"], "total_optimization_steps": 10, "probabilities": [0.008789806994405118, 0.008789806994405118], "optimization_time": 1.255728006362915} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(4) + -0.5 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101000", "0100110", "0101100"]} | 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(-0.0699) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0699) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0699) q[5];
cx q[1], q[5];
cx q[1], q[6];
rz(-0.0699) q[6];
cx q[1], q[6];
cx q[1], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(... | null | {"circuits": [], "gradients": []} |
a8af5a844c6b7264f669c1b8b9005a26 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 8}, {"capacity": 6, "source": 2, "target": 8}, {"capacity": 1, "source": 3, "target": 1}, {"capacity": 2, "s... | {"states": [255, 127], "expectation_value": -9.39547059196898, "params": [[[0.0125, -1.0416], [0.0714, -0.02], [-0.0023, -0.0129], [-0.34600000000000003, -0.0035], [0.0029000000000000002, -0.0035], [0.3012, 0.0023], [-0.0025, -0.0035], [-0.8438, -0.15360000000000001], [0.0006000000000000001, -1.3669]], [[0.000300000000... | 0.25 * (Z(0) @ Z(8)) + -1.5 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -1.5 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(4)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(2)) + -2.0 * Z(8) + -0.25 * Z(0) + -0.5 * Z(2) + 0.75 * Z(3) + -3.25 * Z(1) + 1.0 * Z(4) + -0.... | 15 | 9 | 3 | {"smallest_eigenvalues": [-9.75, -9.75, -9.75, -9.75, -9.75, -9.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -8.75, "smallest_bitstrings": ["100000000", "110011100", "110010100", "110000100", "110000000", "100000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0125) q[0];
ry(0.0714) q[1];
ry(-0.0023) q[2];
ry(-0.346) q[3];
ry(0.0029) q[4];
ry(0.3012) q[5];
ry(-0.0025) q[6];
ry(-0.8438) q[7];
ry(0.0006) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
504aff5065c6904e02914f6b44da8a9c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capacity": 6, "source": 2, "target": 3}, {"capaci... | {"states": [3, 15], "expectation_value": -7.689657391094376, "params": null, "bitstrings": ["111100", "110000"], "total_optimization_steps": 47, "probabilities": [0.14579950848333692, 0.7379678494460287], "optimization_time": 39.62775421142578} | -1.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + 2.0 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -2.5 * (Z(3) @ Z(2)) + -1.0 * Z(1) + -0.25 * Z(0) + 1.5 * Z(4) + 0.25 * Z(5) + 0.0 * Z(2) + -0.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["111100", "110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[4];
cry(1.5708) q[3], q[2];
ry(0.9995) q[3];
ry(0.4143) q[2];
cry(1.5681) q[1], q[5];
cry(-1.5681) q[5], q[0];
cry(0.4161) q[2], q[3];
ry(0.2767) q[5];
cry(-1.7331) q[5], q[1];
cry(0.5159) q[4], q[5]... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
d2e3f71e5c020057da0dd1812bdf6517 | graph_isomorphism | 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}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [47101, 47085], "expectation_value": -14.944857738270041, "params": [[[1.5684, -0.0023, 0.0006000000000000001, 0.0027], [0.0029000000000000002, 0.030000000000000002, 0.0024000000000000002, 0.0039000000000000003], [1.5859, 0.002, 0.006500000000000001, 0.0023], [0.0021000000000000003, -2.0834, -0.1443, 0.0047]... | 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) ... | 12 | 16 | 2 | {"smallest_eigenvalues": [-15.999999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.999999999999956, "smallest_bitstrings": ["0100100000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(1.5684) q[0];
rz(-0.0023) q[0];
ry(0.0029) q[1];
rz(0.03) q[1];
ry(1.5859) q[2];
rz(0.002) q[2];
ry(0.0021) q[3];
rz(-2.0834) q[3];
ry(0.0028) q[4];
rz(1.4016) q[4];
ry(0.0129) q[5];
rz(0.0024) q[5];
ry(1.5329) q[6];
rz(0.0024) q[6];
ry(-0.0024) 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[... | {"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": []} |
2093750442350825356 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 3, 5], [4, 5], [0, 1], [2, 5]]} | {"states": [21, 33], "expectation_value": -0.03585453618479803, "params": [[-0.0722], [0.0721]], "bitstrings": ["101010", "011110"], "total_optimization_steps": 10, "probabilities": [0.016767064071489295, 0.016768026112736253], "optimization_time": 1.0555787086486816} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.16666666666666666 * Z(3) + 0.16666666666666663 * Z(0) + 0.16666666666666674 * Z(5) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["011110", "010001", "101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(-0.0241) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(-0.0241) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(-0.0241) q[5];
cx q[0], q[5];
cx q[5], q[4];
rz(-0.0722) q[4];
cx q[5], q[4];
cx q[0], q[1];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x0) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx ... | null | {"circuits": [], "gradients": []} |
89574d3041bdb3c1ad45a8430a5e6e9e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "ta... | {"states": [7902, 5854], "expectation_value": -1.7392303898491652, "params": [[[2.1601, 0.0088], [1.5192, 0.0], [2.2008, 0.0046], [1.9141000000000001, 0.001], [0.9797, 0.008], [2.2005, 0.004200000000000001], [1.7927000000000002, 0.0045000000000000005], [0.0026000000000000003, 0.009600000000000001], [1.8269000000000002,... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(0)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(3) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(3) @ Z(0) @ Z(1)) + -0.125 * (Z(3) @ Z(0) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(... | 1 | 13 | 1 | {"smallest_eigenvalues": [-4.8125, -4.8125, -4.8125], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.8125, "smallest_bitstrings": ["0001001110000", "0001100100100", "0100100100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(2.1601) q[0];
rz(0.0088) q[0];
rx(1.5192) q[1];
rz(0) q[1];
rx(2.2008) q[2];
rz(0.0046) q[2];
rx(1.9141) q[3];
rz(0.001) q[3];
rx(0.9797) q[4];
rz(0.008) q[4];
rx(2.2005) q[5];
rz(0.0042) q[5];
rx(1.7927) q[6];
rz(0.0045) q[6];
rx(0.0026) q[7];
rz(0.0096)... | OPENQASM 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": []} |
e155e613d0da5ad0217dc455cb8fa9ba | 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": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [163, 162], "expectation_value": -3.8235792445000865, "params": [0.46330000000000005, 0.0036000000000000003, 0.4626, 0.0029000000000000002, -0.0007, -0.277, 0.005, -0.28, 0.505, 0.0053, 0.502, -0.0029000000000000002, 0.0005, 0.2696, 0.0011, 0.2696, 0.2912, 0.0857, 0.29100000000000004, 0.1715, 0.0033, 0.2601,... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.5 * Z(5) + 0.0 * Z(7) + -... | 7 | 8 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -4.0, "smallest_bitstrings": ["11100110", "01010111", "01011101", "10011110", "00011111", "11111000", "11101010", "11011100", "11010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4633) q[0];
rz(0.0036) q[0];
rx(-0.0007) q[1];
rz(-0.277) q[1];
rx(0.505) q[2];
rz(0.0053) q[2];
rx(0.0005) q[3];
rz(0.2696) q[3];
rx(0.2912) q[4];
rz(0.0857) q[4];
rx(0.0033) q[5];
rz(0.2601) q[5];
rx(0.4869) q[6];
rz(-0.0015) q[6];
rx(0.3347) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
93e3f2155bf004746c8b82e3fe43e521 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"sour... | {"states": [67, 99], "expectation_value": -6.542488853964093, "params": [-0.0035, 0.0046, 0.26680000000000004, 0.001, 1.6104, 0.008, 1.5957000000000001, 0.004200000000000001, 0.0027, 0.0045000000000000005, 1.4200000000000002, 0.009600000000000001, -0.0036000000000000003, 0.0008, 1.6114000000000002, 0.0007, 1.6034000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 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(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.5, -8.5, -8.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -7.5, "smallest_bitstrings": ["110110100", "110011100", "100011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0035) q[0];
rz(0.0046) q[0];
rx(0.2668) q[1];
rz(0.001) q[1];
rx(1.6104) q[2];
rz(0.008) q[2];
rx(1.5957) q[3];
rz(0.0042) q[3];
rx(0.0027) q[4];
rz(0.0045) q[4];
rx(1.42) q[5];
rz(0.0096) q[5];
rx(-0.0036) q[6];
rz(0.0008) q[6];
rx(1.6114) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -0.7065571516127823, "params": [[0.06470000000000001, 0.07980000000000001], [-0.054400000000000004, -0.0736]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.025280845043947012, 0.02572196341872381], "optimization_time": 2.767064571380615... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | 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(-0.0647) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0647) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0647) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.1618) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a90bff6c3a417e74e2fa1e262b24b3f8 | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [82, 67], "expectation_value": -0.9142155497829507, "params": [[-0.0563, -0.07, -0.0679, -0.0737], [0.0637, 0.07440000000000001, 0.0717, 0.07200000000000001]], "bitstrings": ["0101101", "0111100"], "total_optimization_steps": 10, "probabilities": [0.016719951813899053, 0.016719951813899063], "optimization_ti... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + -0.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(2) + -1.0 * Z(1) + -1.0 * Z(5) + -0.5 * Z(6) + 0.0 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["0101101", "0111010", "1010011", "0101011", "0111100", "0011011", "1110010", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0563) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0563) q[1];
cx q[2], q[1];
cx q[3], q[5];
rz(-0.0563) q[5];
cx q[3], q[5];
cx q[1], q[5];
rz(-0.0563) q[5];
cx q[1], q[5];
cx q[2], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
1ba3bce1479457d2cbdd37febc0403d3 | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [0, 496], "expectation_value": -22.104183018656514, "params": [[[0.0022, 0.0081], [0.0025, 0.0067], [0.0026000000000000003, 0.0017000000000000001], [0.0019, 0.0046], [1.6125, 0.002], [0.002, 0.0012000000000000001], [0.0017000000000000001, 0.00030000000000000003], [0.0025, 0.0009000000000000001], [0.002, 0.00... | -2.5 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -2.5 * (Z(3) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + 1.0 * (Z(2) @ Z(0)) + -2.5 * (Z(2) @ Z(3)) + -2.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -2.5 * (Z(4) @ Z(3)) + 1.0 * (Z(4) @ Z(2)) + -2.5 * (Z(5) @ Z(6)) + 1.0 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(5)) + -2.5 * (Z(7) @ Z(6)) + 1.5... | 2 | 9 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0022) q[0];
rz(0.0081) q[0];
rx(0.0025) q[1];
rz(0.0067) q[1];
rx(0.0026) q[2];
rz(0.0017) q[2];
rx(0.0019) q[3];
rz(0.0046) q[3];
rx(1.6125) q[4];
rz(0.002) q[4];
rx(0.002) q[5];
rz(0.0012) q[5];
rx(0.0017) q[6];
rz(0.0003) q[6];
rx(0.0025) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 8} | {"circuits": [], "gradients": []} |
0ae9b6f2b61290137ab22e2dafb0c164 | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 23, "source": 0, "target": 4}, {"weight": 2, "source": 1, "target": 2}, {"weight": 21, "source": 1, "target": 3}, {"weight": 5, "source": ... | {"states": [254, 238], "expectation_value": -3.946342952641631, "params": [0.49250000000000005, -0.18460000000000001, 0.49150000000000005, -0.2162, 0.7421, 0.042, 0.7522000000000001, 0.0267, 0.7705000000000001, 0.0345, 0.7684000000000001, 0.0392, 0.7615000000000001, 0.0412, 0.7645000000000001, 0.028900000000000002, 0.5... | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001010100", "001100010", "010001100", "010100001", "100010001", "100001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4925) q[0];
rz(-0.1846) q[0];
rx(0.7421) q[1];
rz(0.042) q[1];
rx(0.7705) q[2];
rz(0.0345) q[2];
rx(0.7615) q[3];
rz(0.0412) q[3];
rx(0.5158) q[4];
rz(-0.1318) q[4];
rx(0.6839) q[5];
rz(0.0066) q[5];
rx(0.7592) q[6];
rz(0.0274) q[6];
rx(0.7297) 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[... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
df48455e191cab92443ea964cfd0418f | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}], "edges": [{"... | {"states": [246, 214], "expectation_value": -28.611019953448682, "params": [[[0.0022, 0.7047], [0.9954000000000001, -0.0012000000000000001], [0.9929, 0.0024000000000000002], [0.7271000000000001, -0.1253], [0.9988, 0.0024000000000000002], [0.4726, -0.26990000000000003], [1.0013, -0.0015], [0.9991000000000001, 0.00340000... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(4)) + 5.0 * (Z(5) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(6) @ Z(3)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(4)) + 5.0 * (Z(8) @ Z(7)) + -0.5 * Z(1) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -52.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0022) q[0];
rz(0.7047) q[0];
rx(0.9954) q[1];
rz(-0.0012) q[1];
rx(0.9929) q[2];
rz(0.0024) q[2];
rx(0.7271) q[3];
rz(-0.1253) q[3];
rx(0.9988) q[4];
rz(0.0024) q[4];
rx(0.4726) q[5];
rz(-0.2699) q[5];
rx(1.0013) q[6];
rz(-0.0015) q[6];
rx(0.9991) 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], \"right_nodes\": [4, 5, 6, 7, 8]}"} | {"circuits": [], "gradients": []} |
c502b67eb6d91d909ba398fa39bec60c | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}]} | {"states": [22, 23], "expectation_value": -0.25946725364759193, "params": [[0.061200000000000004, 0.046700000000000005, 0.0359, -0.0511], [-0.065, -0.049100000000000005, -0.045000000000000005, -0.0079]], "bitstrings": ["01001", "01000"], "total_optimization_steps": 10, "probabilities": [0.037943508571688815, 0.04167764... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["01000"]} | 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(0.0612) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0612) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.0612) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.0612) q[4];
cx q[1], q[4];
rz(-0.1836) q[1];
rz(0) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] ... | null | {"circuits": [], "gradients": []} |
f5799986d2d6fe5ce6f15cadec3e2678 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 0, "id": 8}, {"bipartite":... | {"states": [303, 271], "expectation_value": -82.92412943001919, "params": [0.7858, -0.0016, 0.0155, 0.4111, 0.006200000000000001, 0.45730000000000004, 0.3199, 0.2232, -0.0026000000000000003, 0.42700000000000005, 0.7787000000000001, 0.0048000000000000004, 0.5713, 0.1768, 0.7828, 0.039900000000000005, 0.7868, 0.0041, 0.7... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(0)) + 7.0 * (Z(3) @ Z(5)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + -2.5 * Z(1) + 5.5 * Z(0) + -3.0 * Z(4) + 21.0 * Z(5) + 1... | 16 | 9 | 4 | {"smallest_eigenvalues": [-92.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -82.0, "smallest_bitstrings": ["011110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7858) q[0];
rz(-0.0016) q[0];
rx(0.0155) q[1];
rz(0.4111) q[1];
rx(0.0062) q[2];
rz(0.4573) q[2];
rx(0.3199) q[3];
rz(0.2232) q[3];
rx(-0.0026) q[4];
rz(0.427) q[4];
rx(0.7787) q[5];
rz(0.0048) q[5];
rx(0.5713) q[6];
rz(0.1768) q[6];
rx(0.7828) 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, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
236eee02726333745789aca07c73fbad | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [26, 30], "expectation_value": -6.266316954392728, "params": null, "bitstrings": ["00101", "00001"], "total_optimization_steps": 44, "probabilities": [0.12353670140832422, 0.5327307855998875], "optimization_time": 25.403443574905396} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (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)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 5 | 5 | 1 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"]} | 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(1.5706) q[2], q[3];
cry(1.5708) q[3], q[0];
cry(1.2391) q[0], q[2];
cry(1.5708) q[3], q[1];
cry(-0.7545) q[0], q[3];
ry(-0.1782) q[3];
cry(0.1444) q[1], q[3];
cry(1.0563) q[4], q[3];
ry(-0.3295) q[1];
ry(-0.2283) q[0... | null | {"node": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.5706) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqu... |
4d44127075c03392d0078723b3cb3352 | 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": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 7}, {"capacity": 1, "source": 1, "target": 8}, {"capac... | {"states": [1, 3], "expectation_value": -16.81835004997254, "params": [-0.0015, -0.4879, -0.0081, -0.5029, -0.0024000000000000002, -0.5113, -0.0045000000000000005, -0.5164, -0.0016, -0.5197, -0.0031000000000000003, -0.5151, -0.0018000000000000002, -0.5183, -0.0031000000000000003, -0.5226000000000001, 0.0, -0.4862, -0.0... | -1.25 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + -1.75 * (Z(7) @ Z(1)) + -1.25 * (Z(8) @ Z(6)) + -0.5 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(3) @ Z(7)) + -1.0 * (Z(3) @ Z(5)) + -1.25 * (Z(4)... | 5 | 10 | 2 | {"smallest_eigenvalues": [-18.25, -18.25, -18.25], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -17.25, "smallest_bitstrings": ["1111001100", "1111111100", "1111101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0015) q[0];
rz(-0.4879) q[0];
rx(-0.0024) q[1];
rz(-0.5113) q[1];
rx(-0.0016) q[2];
rz(-0.5197) q[2];
rx(-0.0018) q[3];
rz(-0.5183) q[3];
rx(0) q[4];
rz(-0.4862) q[4];
rx(-0.0005) q[5];
rz(-0.5003) q[5];
rx(-0.003) q[6];
rz(-0.5207) q[6];
rx(-0.0039) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
c2720a7a21912961de1e388cc28823b3 | 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": 3}, {"source": 0, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"sour... | {"states": [180, 182], "expectation_value": -4.038397373649574, "params": [0.1474, 0.0083, 1.6141, 0.0097, 0.3725, 0.0063, 1.6008, 0.0021000000000000003, 1.607, 0.0025, 0.0053, 0.0006000000000000001, 1.6041, 0.0018000000000000002, 1.6005, 0.0051, 0.0013000000000000002, 0.0044, 0.0027, 0.0088, 0.0092, 0.0051, 0.0066, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(7) + ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["101001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.1474) q[0];
rz(0.0083) q[0];
rx(1.6141) q[1];
rz(0.0097) q[1];
rx(0.3725) q[2];
rz(0.0063) q[2];
rx(1.6008) q[3];
rz(0.0021) q[3];
rx(1.607) q[4];
rz(0.0025) q[4];
rx(0.0053) q[5];
rz(0.0006) q[5];
rx(1.6041) q[6];
rz(0.0018) q[6];
rx(1.6005) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bd4c1476c3aa7cafea7811e124c4791d | 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": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [246, 127], "expectation_value": -7.2339636647005445, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 112.09656286239624} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "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];
ry(1.5708) q[1];
cry(1.5706) q[1], q[5];
cry(1.5626) q[4], q[3];
cry(1.5626) q[1], q[2];
cry(1.5486) q[4], q[7];
cry(0.8742) q[7], q[4];
cry(0.3966) q[7], q[3];
cry(-1.4585) q[7], q[0];
cry(1.3239... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
fc080107649a6d17dcb56ee14364c80b | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}, {"weight": 1, "... | {"states": [2717, 2709], "expectation_value": -0.3647474651644004, "params": [0.7092, -0.0146, 0.7054, 0.0001, 0.6987, -0.096, 0.49870000000000003, 0.0088, 0.7055, -0.0176, 0.7025, 0.0002, 0.6980000000000001, 0.11960000000000001, 0.4919, 0.0048000000000000004, 0.7088, -0.015700000000000002, 0.7086, 0.0022, 0.7017, 0.08... | 0.25 * (Z(0) @ Z(1)) + -0.0011718750000000002 * (Z(2) @ Z(0)) + -0.0011718750000000002 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.00078125 * (Z(4) @ Z(0)) + -0.00078125 * (Z(4) @ Z(2)) + -0.00078125 * (Z(5) @ Z(1)) + -0.00078125 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005859375000000001 * (Z(6) @ Z(0)) + 0.0005859... | 6 | 12 | 1 | {"smallest_eigenvalues": [-1.5169921874999996, -1.5169921874999996], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5107421875000004, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.7092) q[0];
rz(-0.0146) q[0];
rx(0.6987) q[1];
rz(-0.096) q[1];
rx(0.7055) q[2];
rz(-0.0176) q[2];
rx(0.698) q[3];
rz(0.1196) q[3];
rx(0.7088) q[4];
rz(-0.0157) q[4];
rx(0.7017) q[5];
rz(0.0899) q[5];
rx(0.7049) q[6];
rz(0.0828) q[6];
rx(0.7102) 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[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
60adc8c0ec7ab7eb551a043d909b727d | community_detection | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target... | {"states": [26026, 21930], "expectation_value": -1.709912966386106, "params": null, "bitstrings": ["1001101001010101", "1010101001010101"], "total_optimization_steps": 100, "probabilities": [0.126530065675152, 0.26591545716075315], "optimization_time": 894.8150913715363} | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.021759259259194], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0217592592591855, "smallest_bitstrings": ["1010101001010101"]} | 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];
cry(-0.5952) q[12], q[13];
cry(-0.5944) q[8], q[9];
cry(-0.5943) q[10], q[11];
cry(-0.5941) q[14], q[15];
cry(-0.5933) q[7],... | null | {"communities_size": 4, "number_of_communities": 2} | {"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];\ncry(-0.5952) q[12], q[13];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure ... |
adf81339cf0258c38a303d18144c9f77 | 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": [243, 211], "expectation_value": -58.4990503403347, "params": [0.5663, 0.396, 0.9913000000000001, -0.0011, 0.9963000000000001, 0.1772, 0.5263, 0.30960000000000004, 0.9965, 0.0753, 0.0049, 0.6026, 0.35800000000000004, 0.4268, 0.9999, 0.09960000000000001, 0.8957, 0.4418, 0.5607, 0.3753, 0.9944000000000001, 0.0... | 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(4)) + 6.0 * (Z(5) @ Z(4)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(7)) + 6.0 * (Z(8) @ Z(0)) + 6.0 * (Z(8) @ Z(7)) + 8.0 * Z(1) + 11.0 * Z(0) + 10.5 * Z(3) + 14.5 * Z(4) + 11.5 * Z(2) + -4.5 * Z(... | 18 | 9 | 3 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5663) q[0];
rz(0.396) q[0];
rx(0.9913) q[1];
rz(-0.0011) q[1];
rx(0.9963) q[2];
rz(0.1772) q[2];
rx(0.5263) q[3];
rz(0.3096) q[3];
rx(0.9965) q[4];
rz(0.0753) q[4];
rx(0.0049) q[5];
rz(0.6026) q[5];
rx(0.358) q[6];
rz(0.4268) q[6];
rx(0.9999) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 2, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 3, "target"... | {"states": [23773, 27869], "expectation_value": -10.861874401833212, "params": null, "bitstrings": ["010001100100010", "001001100100010"], "total_optimization_steps": 100, "probabilities": [0.05953439996534077, 0.8698861315663086], "optimization_time": 698.9161019325256} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.... | 1 | 15 | 1 | {"smallest_eigenvalues": [-10.999999999999984], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.99999999999994, "smallest_bitstrings": ["001001100100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] 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];
ry(1.5708) q[14];
ry(1.5706) q[10];
ry(1.5706) q[7];
ry(1.5706) q[3];
ry(1.5706) q[0];
cry(1.4449) q[7], q[12];
cry(1.4449) q[3], q[1... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[15] c;\nqubit[15] 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];\nry(1.5708) q[14];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measu... |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [0, 127], "expectation_value": -1.2241394245041062, "params": [[0.0673, 0.0722, 0.0763], [-0.06430000000000001, -0.07050000000000001, -0.0719]], "bitstrings": ["11111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011055719564153675, 0.011436276882088947], "optimization_time": 5.196269... | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "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[6], q[0];
rz(-0.0673) q[0];
cx q[6], q[0];
cx q[6], q[1];
rz(-0.1009) q[1];
cx q[6], q[1];
cx q[6], q[3];
rz(-0.0336) q[3];
cx q[6], q[3];
cx q[1], q[3];
rz(-0.1009) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
221461c1c54d63842e2fe9ed231c7c5e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5},... | {"states": [1615, 1999], "expectation_value": -0.46606284938883397, "params": [[-0.0497], [0.063]], "bitstrings": ["00110110000", "00000110000"], "total_optimization_steps": 10, "probabilities": [0.0006378673883950613, 0.0006535148150449234], "optimization_time": 1.8259902000427246} | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(8)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(9)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(4) + 0.5 * Z(0) + 0.5 * Z(1) + -1.0 * Z(6) + -1.0 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["00000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(0.1491) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.1491) q[1];
cx q[4], q[1];
cx q[0], q[1];
rz(-0.0497) q[1];
cx q[0], q[1];
cx q[6], q[5];
rz(0.1491) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(x0) q[1]... | {"node": 4} | {"circuits": [], "gradients": []} |
1b25290ab1e43a1b592d31250319712f | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 4, "target": 6}, {"source": ... | {"states": [828, 1020], "expectation_value": -15.095464729798845, "params": null, "bitstrings": ["0011000011", "0000000011"], "total_optimization_steps": 100, "probabilities": [0.1294461511473384, 0.39555734856182106], "optimization_time": 202.53181838989258} | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(7) + -1.0 * Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["0000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[6], q[7];
cry(1.5708) q[7], q[5];
cry(1.4058) q[7], q[4];
cry(0.1741) q[7], q[6];
cry(0.0279) q[5], q[6];
ry(-0.1937) q[6];
cry(0.1998) q[4], q[6];
cry(0.9709) q[9]... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[6], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measu... |
e26a7b0ced2794f5e9fb233975a2bd69 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61437, 61438], "expectation_value": -20.53590645648977, "params": null, "bitstrings": ["0001000000000010", "0001000000000001"], "total_optimization_steps": 100, "probabilities": [0.07492382283023072, 0.5484021995089197], "optimization_time": 784.8893804550171} | 0.5 * (Z(4) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(4)) + 0.5 * (Z(5) @ Z(13)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(14)) + -0.5 * (Z(6) @ Z(13)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(14)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(7) @ Z(13)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(14)) + 0.5 * (Z(7) @ Z(5)) ... | 1 | 16 | 4 | {"smallest_eigenvalues": [-20.999999999999908], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.999999999999595, "smallest_bitstrings": ["0001000000000001"]} | 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(0.4397) q[5];
ry(0.6859) q[4];
ry(1.5607) q[7];
cry(0.925) q[7], q[5];
cry(0.8511) q[7], q[4];
ry(1.5708) q[6];
cry(1.570... | null | {"source": 0, "sink": 6} | {"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(0.4397) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
66b128262b8b8ee59605a98d8b63bbdd | 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": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 4, "target": 5}, {"source": 4, "ta... | {"states": [0, 112], "expectation_value": -18.26283021742595, "params": [-0.006900000000000001, 0.4636, 0.4295, 0.054400000000000004, -0.15610000000000002, 0.8301000000000001, 0.3633, 0.1542, -0.5485, 0.0364, -0.45370000000000005, 0.7516, -0.005, 0.7219, -0.0028, 0.8623000000000001, -0.0019, 0.6151, -0.0002, 0.77240000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + -2.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + -2.5 * (Z(4) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + -2.0 * Z(5) + 1.5 * Z(3) + -2.0 * Z(6) + -1.5 * Z(4) | 6 | 7 | 3 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["0001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0069) q[0];
rz(0.4636) q[0];
rx(-0.1561) q[1];
rz(0.8301) q[1];
rx(-0.5485) q[2];
rz(0.0364) q[2];
rx(-0.005) q[3];
rz(0.7219) q[3];
rx(-0.0019) q[4];
rz(0.6151) q[4];
rx(0.0008) q[5];
rz(0.4367) q[5];
rx(0.0041) q[6];
rz(0.6826) q[6];
crx(0.0035) q[6], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
840201519441692596 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2], [1, 7], [0, 6], [2, 6], [4, 6], [2, 4], [5, 7], [2, 5], [5, 6], [4, 7], [1, 3]]} | {"states": [197, 204], "expectation_value": -3.9039113595281734, "params": null, "bitstrings": ["00111010", "00110011"], "total_optimization_steps": 69, "probabilities": [0.02396099113747275, 0.8172768119848386], "optimization_time": 102.68119716644287} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(4) + ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11001100", "00110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[6];
cry(-1.0342) q[4], q[7];
ry(1.0293) q[5];
cry(1.0886) q[5], q[4];
cry(-0.9157) q[5], q[7];
cry(-0.8992) q[4], q[6];
cry(1.3606) q[5], q[0];
cry(-1.5555) q[0], q[2];
ry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
2a9ab16bb8bcea71e9f34a77597a5638 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 3}, {"weight": 14, "source": 0, "target": 6}, {"weight": 15, "source": 1, "target": 3}, {... | {"states": [218, 122], "expectation_value": -11.270931735153702, "params": [[-0.0413], [0.0722]], "bitstrings": ["00100101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.007293999476001439, 0.008197828794471451], "optimization_time": 2.0194528102874756} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.5, "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];
cx q[1], q[0];
rz(-0.3304) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3304) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3304) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.3304) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
5ab0d413e91c40c8571cb2ab0e0009e7 | 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": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -20.699737725231284, "params": [-0.5078, 0.2838, -0.42760000000000004, 0.1484, 0.5366000000000001, 1.3291000000000002, 0.2686, 1.4314, 0.0044, 1.117, -0.0044, 1.1221, 0.5153, 1.3781, -0.4878, 0.48050000000000004, -0.0025, 0.6758000000000001, -0.0018000000000000002, 0.7262000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -2.0 * (Z(4) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(9) @ Z(8)) + -3.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(5)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 1.0 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(9)) + -2.5 ... | 6 | 10 | 2 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.0, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.5078) q[0];
rz(0.2838) q[0];
rx(0.5366) q[1];
rz(1.3291) q[1];
rx(0.0044) q[2];
rz(1.117) q[2];
rx(0.5153) q[3];
rz(1.3781) q[3];
rx(-0.0025) q[4];
rz(0.6758) q[4];
rx(0.0216) q[5];
rz(0.6291) q[5];
rx(0.0032) q[6];
rz(1.2268) q[6];
rx(0.0036) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 5} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | edge_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": [2524, 3549], "expectation_value": -3.3670097244833395, "params": null, "bitstrings": ["011000100011", "001000100010"], "total_optimization_steps": 100, "probabilities": [0.06354121638124433, 0.6661658043842997], "optimization_time": 756.3952744007111} | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.0625 * (... | 1 | 12 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.0, "smallest_bitstrings": ["000101000100", "001000010100", "010000100001", "000100101000", "001000100010", "100000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.3016) q[4];
cry(-1.1847) q[9], q[6];
ry(1.1799) q[7];
ry(1.0405) q[8];
ry(1.0292) q[0];
cry(-0.539) q[5], q[6];
ry(0.566) q[9];
cry(-0.8821) q[1], q[10];
c... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.3016) 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];\... |
117d5eadcb002c843d1e10097e462227 | edge_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": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [0, 48], "expectation_value": -3.0624053386490613, "params": null, "bitstrings": ["111111", "001111"], "total_optimization_steps": 17, "probabilities": [1.709568199031711e-05, 0.9999393873340369], "optimization_time": 26.128387689590454} | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(4)) + -0.0... | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.0625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0625, "smallest_bitstrings": ["001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.4868) q[4];
ry(-1.4449) q[5];
ry(-1.445) q[3];
ry(-1.4449) q[2];
ry(1.4417) q[1];
ry(1.4417) q[0];
cry(-0.1259) q[1], q[5];
cry(0.1217) q[1], q[0];
cry(-0.1188) q[0], q[2];
cry(-0.1187) q[0], q[3];
cry(0.12... | 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(-1.4868) 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... |
b305367bc2e2ddaa066fe8b84210618a | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [126, 110], "expectation_value": -30.982905105935554, "params": null, "bitstrings": ["10000001", "10010001"], "total_optimization_steps": 100, "probabilities": [0.10121528844246899, 0.1241208627827555], "optimization_time": 158.6873300075531} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[1];
ry(-0.8504) q[2];
ry(-34.9236) q[4];
ry(62.9378) q[5];
ry(63.093) q[3];
ry(-2.6361) q[6];
cry(-11.8422) q[4], q[1];
ry(10.8316) q[7];
cry(11.8064) q[4], q[2];
cry(10.5078) q[4], q... | 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(9.9081) 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[... |
9551046ccc9dd029d28dbd33e8ca0f1e | 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": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [20, 98], "expectation_value": -0.8967918637804991, "params": [[0.0704, 0.0755], [-0.06760000000000001, -0.0685]], "bitstrings": ["1101011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.011139211256024953, 0.012169809016038086], "optimization_time": 3.1795873641967773} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(4) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011101"]} | 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(0.0704) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0704) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0704) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0704) q[4];
cx q[0], q[4];
cx q[3], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | 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": [32475, 57015], "expectation_value": -13.145714073765408, "params": [[0.19820000000000002, 0.7676000000000001], [-0.5082, -0.1925]], "bitstrings": ["1000000100100100", "0010000101001000"], "total_optimization_steps": 240, "probabilities": [0.004906639470249137, 0.004906639470249137], "optimization_time": 65.... | 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 | 2 | {"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(0.1982) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.1982) q[2];
cx q[3], q[2];
cx q[1], q[2];
rz(0.1982) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[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... | {"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": []} |
cb3c7c022cb9712afc36cb282644505f | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [13, 93], "expectation_value": -8.091459392578457, "params": null, "bitstrings": ["11110010", "10100010"], "total_optimization_steps": 58, "probabilities": [0.2131101648714886, 0.6404051915948014], "optimization_time": 74.94425964355469} | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[6];
ry(-1.5706) q[2];
cry(-1.5706) q[7], q[0];
ry(1.1031) q[7];
ry(-0.5888) q[0];
cry(1.5271) q[3], q[1];
ry(1.5485) q[4];
cry(1.5271) q[4], q[5];
cry(0.3786) q[4], q[7];
cry(1.2166)... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) q[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... |
d72af5eb66f143f2e8a0a2d305cc3ead | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [26, 154], "expectation_value": -4.523467172877356, "params": [[[0.8098000000000001, -0.0071, 0.0081, 0.007200000000000001], [0.18080000000000002, -0.2353, -0.0436, -0.1158], [0.182, 0.3014, 0.1898, 0.0167], [-0.0031000000000000003, 0.1835, 0.07830000000000001, 0.0047], [-0.0368, 0.0051, 0.0352, 0.0487], [-0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(7)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -1.0 * Z(3) + -0.5 * Z(6) + -0.5 * Z(... | 11 | 8 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["01100110", "01100101", "01011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.8098) q[0];
rz(-0.0071) q[0];
ry(0.1808) q[1];
rz(-0.2353) q[1];
ry(0.182) q[2];
rz(0.3014) q[2];
ry(-0.0031) q[3];
rz(0.1835) q[3];
ry(-0.0368) q[4];
rz(0.0051) q[4];
ry(-0.0067) q[5];
rz(-0.0114) q[5];
ry(0.7953) q[6];
rz(-0.0043) q[6];
ry(0.0019) 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": []} |
f438dd84874324e8039dc4edeb3bf57b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [5, 29], "expectation_value": -7.4671867379307, "params": null, "bitstrings": ["111010", "100010"], "total_optimization_steps": 41, "probabilities": [0.06911670361740486, 0.8393954505033191], "optimization_time": 33.645389556884766} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(2) @ Z(4)) + -2.0 * (Z(2) @ Z(1)) + 1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + 0.0 * Z(2) + -1.5 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5708) q[2], q[1];
ry(1.5708) q[3];
cry(1.0097) q[3], q[2];
ry(0.5186) q[1];
cry(0.4501) q[1], q[2];
cry(1.5599) q[1], q[5];
cry(-1.5702) q[5], q[0];
ry(-1.5499) q[4];
cry(-0.0881) q[3], q[5];
cry(0.0958) q[... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[2], 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 \... |
-5195831292867703356 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4], [2, 4], [1, 5], [2, 3, 5], [5, 6], [0, 3]]} | {"states": [26, 57], "expectation_value": -2.4631798576811526, "params": null, "bitstrings": ["1100101", "1000110"], "total_optimization_steps": 44, "probabilities": [0.06873245609507245, 0.7224338545068624], "optimization_time": 44.061304807662964} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(0) @ Z(3)) + 0.0 * Z(4) + 0.16666666666666674 * Z(3) + 0.16666666666666663 * Z(2) + 0.16666666666666674 * Z(5... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[3], q[4];
ry(0.971) q[3];
cry(-1.3758) q[3], q[0];
cry(-0.8029) q[2], q[4];
ry(1.1394) q[2];
ry(-0.3977) q[4];
cry(0.3833) q[2], q[3];
cry(-1.1666) q[6], q[5];
ry(0.743) q[6];
cry(-0.682) q... | 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[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
-5713692481710473983 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 6], [0, 6], [0, 2], [3, 11], [1, 5], [3, 4], [8, 9], [2, 10], [1, 2], [10, 3], [9, 10], [10, 5], [1, 3], [9, 2], [8, 6], [8, 11], [2, 7], [10, 4], [8, 10], [8, 7], [4, 7], [0, 11], [1, 11], [5, 7], [11, 7], [0, 5], [8, 1], [2, 6], [10, 7], [10, 6], [2... | {"states": [3386, 3378], "expectation_value": -0.3408060024051776, "params": [[[1.7984, 0.0025], [1.7619, 0.0018000000000000002], [1.3693, 0.0088], [1.8179, 0.0095], [1.3336000000000001, 0.0049], [1.3504, 0.007200000000000001], [1.7612, 0.0036000000000000003], [1.8075, 0.0039000000000000003], [1.5521, 0.007500000000000... | 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(11) @ Z(0)) + 0.5 * (Z(11) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(... | 1 | 12 | 1 | {"smallest_eigenvalues": [-8.0, -8.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.0, "smallest_bitstrings": ["110100110010", "001011001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.7984) q[0];
rz(0.0025) q[0];
rx(1.7619) q[1];
rz(0.0018) q[1];
rx(1.3693) q[2];
rz(0.0088) q[2];
rx(1.8179) q[3];
rz(0.0095) q[3];
rx(1.3336) q[4];
rz(0.0049) q[4];
rx(1.3504) q[5];
rz(0.0072) q[5];
rx(1.7612) q[6];
rz(0.0036) q[6];
rx(1.8075) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
1adba468d08e1435f811ffca287d3635 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -17.904681072681722, "params": [-0.0057, -0.1792, -0.0014, -0.2152, 0.0023, -0.2949, 0.0037, -0.2911, 0.002, -0.2868, 0.0036000000000000003, -0.2903, 0.005200000000000001, -0.25930000000000003, 0.00030000000000000003, -0.2882, 0.0019, -0.2907, 0.0041, -0.28800000000000003, 0.0039... | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(8) @ Z(0)) + -1.25 * (Z(8) @ Z(6)) + -1.0 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(9) @ Z(1)) + 4.75 * (Z(9) @ Z(0)) + -0.75 * (Z(9)... | 5 | 10 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.25, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0057) q[0];
rz(-0.1792) q[0];
rx(0.0023) q[1];
rz(-0.2949) q[1];
rx(0.002) q[2];
rz(-0.2868) q[2];
rx(0.0052) q[3];
rz(-0.2593) q[3];
rx(0.0019) q[4];
rz(-0.2907) q[4];
rx(0.0039) q[5];
rz(-0.2607) q[5];
rx(0.0001) q[6];
rz(-0.2593) q[6];
rx(0.0029) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
1291781437533890934 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 4, 6, 7], [3, 4, 5, 6, 7], [0, 1, 5, 7], [0, 1, 2, 3, 5]]} | {"states": [217, 211], "expectation_value": -0.323488669540523, "params": [[-0.365], [0.34340000000000004]], "bitstrings": ["00100110", "00101100"], "total_optimization_steps": 40, "probabilities": [0.006054694440041503, 0.006054694440041505], "optimization_time": 18.86458683013916} | 0.15714285714285714 * (Z(0) @ Z(1)) + 0.07380952380952381 * (Z(2) @ Z(1)) + 0.07380952380952381 * (Z(2) @ Z(0)) + 0.07380952380952381 * (Z(3) @ Z(1)) + 0.07380952380952381 * (Z(3) @ Z(0)) + 0.07380952380952381 * (Z(3) @ Z(2)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.023809523809523808 * (Z(4) @ Z(0)) + 0.023809523809... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.840476190476191], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.8404761904761908, "smallest_bitstrings": ["00101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1147) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0539) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0539) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0539) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [2911, 2910], "expectation_value": -5.996765959562405, "params": [1.0847, 0.0906, 0.4451, 0.5680000000000001, 1.0827, 0.2657, 1.1077000000000001, -0.06720000000000001, 0.4239, 0.48760000000000003, 1.0979, 0.2268, 0.44010000000000005, 0.4802, 1.1154, 0.1948, 1.0547, 0.0028, 1.0578, -0.033, 1.1326, -0.01500000... | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(3)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * ... | 16 | 12 | 3 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -6.0, "smallest_bitstrings": ["010010100001", "010001010100", "010010001100", "001100001010", "010100010001", "001001100010", "001010001100", "100001100010", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.0847) q[0];
rz(0.0906) q[0];
rx(0.4451) q[1];
rz(0.568) q[1];
rx(1.0827) q[2];
rz(0.2657) q[2];
rx(1.1077) q[3];
rz(-0.0672) q[3];
rx(0.4239) q[4];
rz(0.4876) q[4];
rx(1.0979) q[5];
rz(0.2268) q[5];
rx(0.4401) q[6];
rz(0.4802) q[6];
rx(1.1154) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [0, 1], "expectation_value": -38.07188073176994, "params": [[[0.001, 0.45270000000000005], [0.002, 0.4602], [0.001, -0.4811], [0.0023, 0.47040000000000004], [-0.0039000000000000003, -0.5137], [0.8057000000000001, -0.0037]], [[0.0014, 0.0043], [0.0022, 0.004], [0.0013000000000000002, 0.0064], [0.0028, 0.00680... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 1 | 6 | 2 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.001) q[0];
rz(0.4527) q[0];
rx(0.002) q[1];
rz(0.4602) q[1];
rx(0.001) q[2];
rz(-0.4811) q[2];
rx(0.0023) q[3];
rz(0.4704) q[3];
rx(-0.0039) q[4];
rz(-0.5137) q[4];
rx(0.8057) q[5];
rz(-0.0037) q[5];
rx(0.0014) q[0];
rz(0.0043) q[0];
rx(0.0022) 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] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [6, 12], "expectation_value": -1.9116322463073194, "params": null, "bitstrings": ["11001", "10011"], "total_optimization_steps": 18, "probabilities": [0.06012643125650563, 0.7888196926426534], "optimization_time": 9.118569374084473} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * Z(2) + 0.0 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 5 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.0, "smallest_bitstrings": ["01101", "10011", "11001", "00111", "01110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[4];
cry(-1.0343) q[1], q[3];
cry(-1.0342) q[2], q[0];
ry(0.7003) q[1];
ry(0.7003) q[2];
ry(-0.4549) q[3];
ry(-0.4549) q[0];
cry(0.4578) q[2], q[1];
cry(0.4515) q[1], q[2];
cry(-0.3537) q[1], q[0];
cry(-0.34... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[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]... |
ea5d9a2a2420ebaf402c904a653bde8c | 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": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target":... | {"states": [471, 503], "expectation_value": -11.126793592574789, "params": null, "bitstrings": ["000101000", "000001000"], "total_optimization_steps": 100, "probabilities": [0.09830313618513048, 0.5098089609996042], "optimization_time": 145.48935270309448} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(8) @ Z(6)) + -2.0 * (Z(8) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -1.5 * (Z(7) @ Z(8)) + 0.5 * Z(3) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(2)... | 5 | 9 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["000001000"]} | 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[8], q[4];
ry(1.056) q[8];
cry(1.5707) q[8], q[7];
cry(1.5706) q[2], q[3];
cry(1.5708) q[3], q[1];
cry(1.2306) q[1], q[2];
cry(0.4422) q[1], q[3];
cry(1.5705) q[3], q[0];
cry(... | null | {"node": 5} | {"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[8], 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... |
922c8bb395d290ee127105b45ff5cacd | 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": 4}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [236, 492], "expectation_value": -4.205465550004667, "params": [[[0.5934, 0.0016], [0.6049, -0.004], [0.6106, -0.0013000000000000002], [0.5997, -0.0025], [0.027600000000000003, 0.2761], [0.5986, 0.0037], [0.6106, 0.0006000000000000001], [-0.0155, 0.3173], [-0.013300000000000001, -0.31070000000000003]], [[0.5... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -1.0 * Z(4) + -1.0 * Z(0) + -1.5 * Z(7) + -1.5 * Z(8) + -0.5 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5934) q[0];
rz(0.0016) q[0];
rx(0.6049) q[1];
rz(-0.004) q[1];
rx(0.6106) q[2];
rz(-0.0013) q[2];
rx(0.5997) q[3];
rz(-0.0025) q[3];
rx(0.0276) q[4];
rz(0.2761) q[4];
rx(0.5986) q[5];
rz(0.0037) q[5];
rx(0.6106) q[6];
rz(0.0006) q[6];
rx(-0.0155) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
4808430715158760867 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 9, 2, 3], [8, 1, 4], [0, 1, 2, 3, 4, 6, 7, 10, 12], [3, 5, 6, 8, 9, 12], [0, 1, 2, 4, 6, 7, 9, 10, 11], [0, 2, 3, 4, 7, 9], [3, 4, 7, 8, 10, 11], [9, 11, 12, 5], [0, 1, 5, 7, 8, 9, 10], [0, 1, 4, 5, 6, 7, 9, 11], [0, 2, 3, 6, 7, 8, 10, 11, 12], [3... | {"states": [3053, 4077], "expectation_value": -4.387227043647774, "params": [0.0879, 0.09290000000000001, 1.5273, 1.5115, 0.8617, 0.8776, 1.5674000000000001, 1.5686, 1.5664, 1.5707, 1.5646, 1.5709000000000002, 1.5699, 1.5778, 1.5712000000000002, 1.5757, 0.09390000000000001, 0.09280000000000001, 1.5768, 1.58710000000000... | 0.19166666666666665 * (Z(8) @ Z(9)) + 0.14841269841269839 * (Z(2) @ Z(9)) + 0.1722222222222222 * (Z(2) @ Z(8)) + 0.26904761904761904 * (Z(3) @ Z(9)) + 0.2805555555555555 * (Z(3) @ Z(8)) + 0.20396825396825394 * (Z(3) @ Z(2)) + 0.1746031746031746 * (Z(1) @ Z(9)) + 0.23214285714285712 * (Z(1) @ Z(8)) + 0.04563492063492063... | 13 | 13 | 1 | {"smallest_eigenvalues": [-4.501587301587302], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.488492063492062, "smallest_bitstrings": ["1000000010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0879) q[0];
ry(1.5273) q[1];
ry(0.8617) q[2];
ry(1.5674) q[3];
ry(1.5664) q[4];
ry(1.5646) q[5];
ry(1.5699) q[6];
ry(1.5712) q[7];
ry(0.0939) q[8];
ry(1.5768) q[9];
ry(1.8808) q[10];
ry(0.0851) q[11];
ry(1.6443) q[12];
crz(-0.0065) q[12], q[0];
crz(1.10... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
b2c25a19a038d07471a5450910ba4971 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 4, "target": 3}]} | {"states": [24, 3], "expectation_value": -4.457575436272566, "params": [[-0.0684, -0.046700000000000005, -0.036000000000000004, -0.0328], [0.0795, 0.0711, 0.0688, 0.0692]], "bitstrings": ["00111", "11100"], "total_optimization_steps": 10, "probabilities": [0.07913698194027632, 0.08556712824102138], "optimization_time":... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + 2.0 * (Z(4) @ Z(0)) + 1.75 * (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)) + -2.5 * Z(1) + -2.5 * Z(0) + -2.75 * Z(2) + -2.5 * Z(4) + -2.25 * Z(3) | 9 | 5 | 4 | {"smallest_eigenvalues": [-7.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.75, "smallest_bitstrings": ["11100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(-0.2394) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2394) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2394) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.2736) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.2736) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
ab341360a725e6b2f6204b135ea8e845 | 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": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 6}, {"capacity": 1, "source": 3, ... | {"states": [93, 127], "expectation_value": -5.1539767047663725, "params": null, "bitstrings": ["10100010", "10000000"], "total_optimization_steps": 93, "probabilities": [0.10321331130247145, 0.6402260394154703], "optimization_time": 172.82324481010437} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -0.5 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(2) @ Z(4)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + 0.5 * Z(4) + -0.25 * Z(0) + 0.0 * Z(1) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "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];
cry(1.5486) q[3], q[4];
cry(1.2305) q[4], q[3];
cry(1.5355) q[6], q[2];
cry(1.4868) q[3], q[7];
cry(-1.5156) q[7], q[0];
cry(1.042) q[3], q[6];
cry(0.5838) q[3], q[2];
cry(1.3015) q[4], q[5];
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(1.5486) q[3], 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] = mea... |
a0d529ca36dd3a1366498490d13dd5e2 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [11, 43], "expectation_value": -1.1799553981875612, "params": [-0.0021000000000000003, 0.005200000000000001, 1.608, 0.0018000000000000002, 0.9174, 0.0019, 1.7101000000000002, 0.005200000000000001, 0.9346000000000001, 0.0, 1.6567, 0.006500000000000001, 1.6977, 0.0097, 0.0066, 0.0029000000000000002, 0.002, 0.0... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(5)) + -0.25 *... | 18 | 7 | 1 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["1010100", "1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0021) q[0];
rz(0.0052) q[0];
rx(1.608) q[1];
rz(0.0018) q[1];
rx(0.9174) q[2];
rz(0.0019) q[2];
rx(1.7101) q[3];
rz(0.0052) q[3];
rx(0.9346) q[4];
rz(0) q[4];
rx(1.6567) q[5];
rz(0.0065) q[5];
rx(1.6977) q[6];
rz(0.0097) q[6];
crz(0.0066) q[6], q[0];
crz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [108, 76], "expectation_value": -8.154197439448776, "params": [-0.0034000000000000002, 0.6452, -0.0038, 0.6711, -0.0028, 0.684, 0.0018000000000000002, -0.5299, -0.0035, -0.6571, 0.8916000000000001, 0.5019, 0.7387, 0.5757, 0.0287, 0.7722, 0.8959, 0.0636, 0.8999, 0.261, -0.0053, 0.6069, 0.2328, 0.4389, -0.001,... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0034) q[0];
rz(0.6452) q[0];
rx(-0.0038) q[1];
rz(0.6711) q[1];
rx(-0.0028) q[2];
rz(0.684) q[2];
rx(0.0018) q[3];
rz(-0.5299) q[3];
rx(-0.0035) q[4];
rz(-0.6571) q[4];
rx(0.8916) q[5];
rz(0.5019) q[5];
rx(0.7387) q[6];
rz(0.5757) q[6];
rx(0.0287) 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] 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 floa... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
2429946688606258253 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1], [0, 2], [3, 5], [0, 4]]} | {"states": [33, 36], "expectation_value": -0.02246903035991092, "params": [[0.0604], [-0.046900000000000004]], "bitstrings": ["011110", "011011"], "total_optimization_steps": 10, "probabilities": [0.016334273895648347, 0.016334273895648347], "optimization_time": 1.003389835357666} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(0)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(5) + 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": ["100100", "100001", "011011", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(0.0604) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0604) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(0.0604) q[3];
cx q[5], q[3];
cx q[0], q[4];
rz(0.0604) q[4];
cx q[0], q[4];
rz(0) q[1];
rz(0) q[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(x0) q[3];
cx q[5], q[3];
cx q[0], q[4];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
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