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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7a0d4423aa0ea6dfcc8e478dc00ab0ee | 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": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [1012, 1008], "expectation_value": -16.141194757696457, "params": null, "bitstrings": ["0000001011", "0000001111"], "total_optimization_steps": 100, "probabilities": [0.10237682097847772, 0.5165786529392798], "optimization_time": 239.32614302635193} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -2.0 * (Z(5) @ Z(1)) + -2.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + -2.5 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(6)) + 0.5 ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["0000001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5708) q[8];
ry(-1.2796) q[7];
ry(-1.5708) q[6];
cry(1.5708) q[3], q[5];
cry(1.5708) q[5], q[1];
cry(1.1127) q[1], q[3];
cry(0.229) q[1], q[5];
cry(1.5708) q[5], q[2];
cry(0... | null | {"node": 10} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nry(-1.5708) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5... |
d2e3f71e5c020057da0dd1812bdf6517 | graph_coloring | 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": [48765, 56190], "expectation_value": -6.0010542464481285, "params": [[-0.1776], [0.17950000000000002]], "bitstrings": ["0100000110000010", "0010010010000001"], "total_optimization_steps": 20, "probabilities": [8.65523827710716e-05, 8.65523827710716e-05], "optimization_time": 20.629294633865356} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z... | 1 | 16 | 1 | {"smallest_eigenvalues": [-13.999999999999956], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.999999999999917, "smallest_bitstrings": ["0010010010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(-0.1776) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1776) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1776) q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"number_of_colors": 4} | {"circuits": [], "gradients": []} |
2c69f66e23c234e31f1d5ec8aa443338 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 5, "target": 6}]} | {"states": [14, 62], "expectation_value": -5.143346340877699, "params": null, "bitstrings": ["110001", "000001"], "total_optimization_steps": 32, "probabilities": [0.18747091701752278, 0.56084426505359], "optimization_time": 15.788688898086548} | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + 0.5 * Z(4) + -0.5 * Z(5) | 5 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["000001"]} | 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(1.5681) q[4], q[2];
cry(1.231) q[2], q[4];
cry(1.57) q[2], q[3];
cry(1.5486) q[1], q[0];
cry(1.2305) q[0], q[1];
ry(-1.4449) q[5];
ry(-0.1099) q[3];
cry(0.1106) q[4], q[3];
cry(-0.1083) q[1], q[3];
cry(-0.114... | null | {"node": 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(1.5681) q[4], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
6e0d468db56178c470574e2bc4272cb2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [980, 468], "expectation_value": -80.8668744728768, "params": [[[0.2489, 0.042100000000000005], [0.8567, 0.1315], [0.5609000000000001, 0.1278], [0.5311, 0.13390000000000002], [0.2826, 0.0709], [0.8033, 0.1255], [0.2107, 0.1787], [0.3554, 0.596], [0.0825, 0.6023000000000001], [-0.3196, 0.2144]], [[0.0815, 0.0... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(6) @ Z(1)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(2)) + 15.0 * Z(2) + 21.5 * Z(1) + 4.0 * Z(0) + -1.0 * Z(3) + -3.0 * Z(4) + 10.5 * Z(6) + 2.5 * Z(5) + 15.0... | 15 | 10 | 4 | {"smallest_eigenvalues": [-93.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -89.5, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2489) q[0];
ry(0.8567) q[1];
ry(0.5609) q[2];
ry(0.5311) q[3];
ry(0.2826) q[4];
ry(0.8033) q[5];
ry(0.2107) q[6];
ry(0.3554) q[7];
ry(0.0825) q[8];
ry(-0.3196) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
6946fbda84d92871847bf53596399897 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -2.011863920851057, "params": [[-0.0438, -0.0456, -0.0468, 0.0584], [0.060700000000000004, 0.06330000000000001, 0.0613, 0.0092]], "bitstrings": ["101110", "111110"], "total_optimization_steps": 10, "probabilities": [0.03583210744810794, 0.03646259498127015], "optimization_time":... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + 3.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -1.25 * Z(3) + -0.25 * Z(0) + -1.0 * Z(4) + 0.25 * Z(1) + -0.5 * Z(2) + 2.75 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-12.0, -12.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["111110", "101110"]} | 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(0.1095) q[0];
cx q[3], q[0];
cx q[0], q[4];
rz(0.1314) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(0.0219) q[1];
cx q[3], q[1];
cx q[3], q[2];
rz(0.0219) q[2];
cx q[3], q[2];
cx q[4], q[2];
rz(0.0438... | OPENQASM 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": []} |
1f15db56645aa784f47efc16e5301c8d | 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": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -5.83715216811799, "params": [[0.0711, 0.062200000000000005, 0.0623, 0.0436], [-0.0726, -0.0539, -0.0659, -0.062200000000000005]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.04300148867007408, 0.044982303222136824], "optimization_ti... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.2133) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0711) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.2133) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.1777) q[2];
cx q[1], q[2];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
eb3644a595f88cde537ce8eaf8e385b0 | 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": 4, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -27.912557329170948, "params": [0.0167, 0.0463, 0.0067, 0.0879, -0.0031000000000000003, 0.2369, -0.0036000000000000003, 0.2316, 0.303, -0.00030000000000000003, 0.30720000000000003, -0.0005, -0.0016, 0.22590000000000002, -0.002, 0.2283, 0.0037, 0.1961, 0.0008, 0.1986, 0.0664, 0.... | -1.0 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -1.0 * (Z(5) @ Z(0)) + -1.0 * (Z(8) @ Z(1)) + -0.75 * (Z(8) @ Z(0)) + -1.5 * (Z(8) @ Z(3)) + -1.5 * (Z(9) @ Z(0)) + -1.25 * (Z(9) @ Z(3)) + -0.75 * (Z(10) @ Z(0)) + -0.25 * (Z(10) @ Z(3)) + -1.0 * (Z(10) @ Z(9)) + -1.0 * (Z(6) @ Z(1)) + -1.25 * (Z(6) @ Z(5)) + -1.5 * (Z(6)... | 6 | 11 | 3 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.5, "smallest_bitstrings": ["11011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0167) q[0];
rz(0.0463) q[0];
rx(-0.0031) q[1];
rz(0.2369) q[1];
rx(0.303) q[2];
rz(-0.0003) q[2];
rx(-0.0016) q[3];
rz(0.2259) q[3];
rx(0.0037) q[4];
rz(0.1961) q[4];
rx(0.0664) q[5];
rz(0.1249) q[5];
rx(0.0003) q[6];
rz(0.2266) q[6];
rx(-0.0236) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
e35777128d20036d53d23bfc63a525a6 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [16, 19], "expectation_value": -4.584318730717033, "params": [0.0818, -0.2917, 0.1968, 0.1179, 0.7101000000000001, -0.008, 0.7055, -0.0159, 0.4182, -0.11280000000000001, 0.2546, -0.013000000000000001, 0.6989000000000001, -0.0021000000000000003, 0.7120000000000001, 0.0006000000000000001, 0.0789, -0.162, 0.214... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + -1.0 * Z(2) ... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -5.0, "smallest_bitstrings": ["11101100", "11011010", "11011100", "11010110", "01101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0818) q[0];
rz(-0.2917) q[0];
rx(0.1968) q[1];
rz(0.1179) q[1];
rx(0.7101) q[2];
rz(-0.008) q[2];
rx(0.7055) q[3];
rz(-0.0159) q[3];
rx(0.4182) q[4];
rz(-0.1128) q[4];
rx(0.2546) q[5];
rz(-0.013) q[5];
rx(0.6989) q[6];
rz(-0.0021) q[6];
rx(0.712) 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": []} |
bbe36c72142a04c8b1698fed3f77c25c | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 3}, {"weight": 7, "source": 1, "target": 2}, {"weight": 17, "source": 1, "target": 3}, {"weight": 24, "source":... | {"states": [238, 413], "expectation_value": -0.387794204455268, "params": [[0.078], [-0.07200000000000001]], "bitstrings": ["100010001", "001100010"], "total_optimization_steps": 10, "probabilities": [0.002376992129143067, 0.002376992129143067], "optimization_time": 2.3888044357299805} | 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) ... | 1 | 9 | 1 | {"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;
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(0.078) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.078) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.078) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.078) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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 q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
406f205c8f68e15d44cfdbce281f4c7d | 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": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 4, "target": 5}]} | {"states": [56, 37], "expectation_value": -0.030209498756496075, "params": [[0.041800000000000004], [-0.033100000000000004]], "bitstrings": ["000111", "011010"], "total_optimization_steps": 10, "probabilities": [0.016059019069092934, 0.01605924022164994], "optimization_time": 0.9576742649078369} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(3) + 0.0 * Z(1) + -1.0 * Z(2) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["001110", "011010", "000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(0.0418) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(0.0418) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(0.0418) q[2];
cx q[4], q[2];
cx q[3], q[2];
rz(0.0418) q[2];
cx q[3], q[2];
cx q[4], q[5];
rz(0.0418... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[4], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
6206337d7d1967e1d98c4b708b2f9aeb | 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": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [1149, 1405], "expectation_value": -3.062197609470264, "params": [1.079, -0.0005, 0.21100000000000002, 0.5496, 0.5710000000000001, 0.2492, -0.0014, 0.5219, 1.0683, 0.20500000000000002, 1.066, -0.0027, 1.066, -0.0027, 1.0048000000000001, 0.005, 0.8510000000000001, 0.0912, 0.0838, 0.5471, 1.0735000000000001, 0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(4) @ Z(5)) + 0.0625 * (Z(4) @ Z(6... | 16 | 11 | 3 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.75, "smallest_bitstrings": ["10000001010", "00110000100", "00101001000", "01010000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(1.079) q[0];
rz(-0.0005) q[0];
rx(0.211) q[1];
rz(0.5496) q[1];
rx(0.571) q[2];
rz(0.2492) q[2];
rx(-0.0014) q[3];
rz(0.5219) q[3];
rx(1.0683) q[4];
rz(0.205) q[4];
rx(1.066) q[5];
rz(-0.0027) q[5];
rx(1.066) q[6];
rz(-0.0027) q[6];
rx(1.0048) 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": []} |
6912218945619950979 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 1, 2, 6, 8], [2, 5, 6], [0, 2, 3, 5, 8], [8, 1, 4, 6], [0, 1, 3, 6, 8], [4, 5, 7]]} | {"states": [271, 285], "expectation_value": -0.5839704860110295, "params": [[-0.28600000000000003], [0.2781]], "bitstrings": ["011110000", "011100010"], "total_optimization_steps": 30, "probabilities": [0.004143422430588961, 0.004151690307498622], "optimization_time": 1.744044542312622} | 0.5 * (Z(1) @ Z(5)) + 0.05 * (Z(0) @ Z(5)) + 0.1 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.1 * (Z(6) @ Z(0)) + 0.21666666666666667 * (Z(6) @ Z(2)) + 0.05 * (Z(8) @ Z(5)) + 0.183333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.016666666666667, -2.016666666666667], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0166666666666657, "smallest_bitstrings": ["011100010", "011000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[1];
rz(-0.286) q[1];
cx q[5], q[1];
cx q[5], q[0];
rz(-0.0286) q[0];
cx q[5], q[0];
cx q[1], q[0];
rz(-0.0572) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(-0.1239) q[2];
cx q[5], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
2ac0d8741df4c1a53bf0585889cd8501 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 2}, {"source": 2, "target": 8}, {"sour... | {"states": [301, 45], "expectation_value": -2.312613525060243, "params": [0.3542, 0.3594, -0.024200000000000003, -0.0218, 0.33230000000000004, 0.3352, 0.4404, 0.4374, -0.020200000000000003, -0.0143, 0.5028, 0.5067, 0.4872, 0.4837, 0.3141, 0.3038, 0.45940000000000003, 0.45680000000000004, 0.35450000000000004, 0.3544, -0... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -0.5 * Z(3) + 0.0 * Z(0) + -0.5 * Z(5) + -1.0 * Z(1) + -0.5 * Z(7) + -0.5 * Z(2) + 0.0 * Z(8) + -1.0 * Z(4) + -0.5 * Z(6) | 13 | 9 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -3.0, "smallest_bitstrings": ["010110011", "001101110", "001111010", "010110101", "101011010", "011101100", "111010010", "011110010", "010101101", "11101... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3542) q[0];
ry(-0.0242) q[1];
ry(0.3323) q[2];
ry(0.4404) q[3];
ry(-0.0202) q[4];
ry(0.5028) q[5];
ry(0.4872) q[6];
ry(0.3141) q[7];
ry(0.4594) q[8];
crz(0.1654) q[8], q[0];
crz(0.2356) q[7], q[8];
crz(-0.0579) q[6], q[7];
crz(0.051) q[5], q[6];
crz(-0.24... | OPENQASM 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": []} |
094c21a567eedc9b0544914371dc9998 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": ... | {"states": [1023, 1022], "expectation_value": -42.02345410525055, "params": [[[0.003, 3.1606], [0.0031000000000000003, -0.003], [0.002, 0.0022], [-0.0031000000000000003, 0.0024000000000000002], [0.0031000000000000003, 0.0031000000000000003], [0.0033, -0.003], [0.002, 0.0027], [0.0023, 0.002], [1.6215000000000002, -0.00... | -3.5 * (Z(0) @ Z(3)) + 1.0 * (Z(5) @ Z(3)) + -3.0 * (Z(5) @ Z(0)) + 1.0 * (Z(6) @ Z(3)) + -4.0 * (Z(6) @ Z(0)) + 1.0 * (Z(6) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + -3.0 * (Z(8) @ Z(0)) + -3.0 * (Z(8) @ Z(5)) + 1.0 * (Z(8) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + -2.5 * (Z(1) @ Z(6)) + 0.5 *... | 15 | 10 | 1 | {"smallest_eigenvalues": [-42.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -41.5, "smallest_bitstrings": ["0000000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.003) q[0];
ry(0.0031) q[1];
ry(0.002) q[2];
ry(-0.0031) q[3];
ry(0.0031) q[4];
ry(0.0033) q[5];
ry(0.002) q[6];
ry(0.0023) q[7];
ry(1.6215) q[8];
ry(0.0026) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | {"node": 10} | {"circuits": [], "gradients": []} |
dce06398b25f2ffe64febd8898180a55 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "... | {"states": [63, 3903], "expectation_value": -23.040553053170193, "params": [[[0.0024000000000000002, 0.0035], [0.0024000000000000002, 0.0039000000000000003], [0.0022, 0.0011], [-1.5912000000000002, 0.008], [0.0024000000000000002, 0.0049], [3.1498, 0.0063], [0.0024000000000000002, 0.0083], [0.0025, 0.002], [0.0025, 0.00... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(6)) + 0.5 * (Z(11) @ Z(8)) + -2.0 * (Z(11) @ Z(6)) + -2.0 * (Z(11) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 2 | 12 | 1 | {"smallest_eigenvalues": [-25.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["000011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.0024) q[0];
rz(0.0035) q[0];
rx(0.0024) q[1];
rz(0.0039) q[1];
rx(0.0022) q[2];
rz(0.0011) q[2];
rx(-1.5912) q[3];
rz(0.008) q[3];
rx(0.0024) q[4];
rz(0.0049) q[4];
rx(3.1498) q[5];
rz(0.0063) q[5];
rx(0.0024) q[6];
rz(0.0083) q[6];
rx(0.0025) 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] x2;
input float[64] x3;
input float[6... | {"node": 5} | {"circuits": [], "gradients": []} |
921479f58efe64e2060ecee8a590e959 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 8}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 2, "s... | {"states": [256, 255], "expectation_value": -1.3257953561305151, "params": [[0.0718, 0.0763], [-0.0545, -0.0614]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.003945013466155368, 0.00406244702283524], "optimization_time": 4.558336019515991} | 0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(8)) + -0.5 * (Z(6) @ Z(8)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(7) @ Z(8)) + -0.25 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(1... | 1 | 9 | 2 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[8], q[0];
rz(0.0359) q[0];
cx q[8], q[0];
cx q[8], q[1];
rz(-0.0718) q[1];
cx q[8], q[1];
cx q[8], q[6];
rz(-0.0718) q[6];
cx q[8], q[6];
cx q[1], q[6];
rz(-0.1436) q[6];
cx q[1], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-5379648114903409229 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1, 3, 4], [0, 4, 5, 6, 7], [8, 7], [1, 2, 4], [0, 1], [0, 2, 3, 5, 6, 7]]} | {"states": [254, 190], "expectation_value": -1.4531008311960294, "params": [0.5337000000000001, 0.4717, 0.5258, 0.0005, 1.2973000000000001, -0.019, 1.2970000000000002, 0.0082, 1.0615, 0.3814, 1.0213, 0.006200000000000001, 1.2992000000000001, 0.1832, 1.2991000000000001, 0.009000000000000001, 1.2953000000000001, 0.114200... | 0.08333333333333333 * (Z(8) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(8)) + 0.25 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.03333333333333333 * (Z(0) @ Z(3)) + 0.05 * (Z(0) @ Z(4)) + 0.03333333333333333 * (Z... | 5 | 9 | 1 | {"smallest_eigenvalues": [-1.9833333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.983333333333333, "smallest_bitstrings": ["101000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5337) q[0];
rz(0.4717) q[0];
rx(1.2973) q[1];
rz(-0.019) q[1];
rx(1.0615) q[2];
rz(0.3814) q[2];
rx(1.2992) q[3];
rz(0.1832) q[3];
rx(1.2953) q[4];
rz(0.1142) q[4];
rx(1.2992) q[5];
rz(0.1877) q[5];
rx(1.2962) q[6];
rz(0.1813) q[6];
rx(1.2923) 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": []} |
b549f54f988f8e7587562ba90db6d29f | 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": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4},... | {"states": [383, 127], "expectation_value": -14.36772329206549, "params": [[0.08510000000000001], [-0.2508]], "bitstrings": ["11010000000", "11110000000"], "total_optimization_steps": 30, "probabilities": [0.007359643306413567, 0.00749124870115387], "optimization_time": 1.6783173084259033} | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 1.0 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + -3.5 * (Z(4) @ Z(5)) + -3.0 * (Z(8) @ Z(5)) + -3.5 * (Z(8) @ Z(4)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 1.0 * (Z(9) @ Z(8)) + -3.0 * (Z(10) @ Z(5)) + -3.0 * (Z(10) @ Z(4)) + 1.... | 1 | 11 | 1 | {"smallest_eigenvalues": [-45.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.0, "smallest_bitstrings": ["11110000000"]} | 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[3], q[0];
rz(-0.3404) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(-0.3404) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(0.1702) q[1];
cx q[0], q[1];
cx q[3], q[2];
rz(0.0851) ... | 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[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[3], q[0];
rz(x0) q[0];
c... | {"node": 2} | {"circuits": [], "gradients": []} |
42ee3ecbd8e478be8dde2a6b90e16871 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target": 8}, {"capacity": 4, "s... | {"states": [256, 255], "expectation_value": -0.7587991429290027, "params": [[-0.058], [0.0728]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0028035654164359066, 0.0028573109016949323], "optimization_time": 2.431121349334717} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(2) @ Z(7)) + -0.25 * (Z(2) @ Z(8)) + -0.25 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(6)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(5) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(3) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.058) q[0];
cx q[1], q[0];
cx q[1], q[7];
rz(0.116) q[7];
cx q[1], q[7];
cx q[0], q[7];
rz(0.029) q[7];
cx q[0], q[7];
cx q[0], q[8];
rz(-0.116) q[8];
cx q[0], q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
67db7996d5a4d9f77514dc8fa1acf4cb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 16, "source": 0, "target": 5}, {"weight": 19, "sour... | {"states": [498, 242], "expectation_value": -80.58426718889517, "params": [0.5479, -0.2444, 1.0655000000000001, -0.0855, 1.065, 0.006, 1.0688, -0.0015, 1.0709, 0.0009000000000000001, -0.0025, 0.8194, 0.09000000000000001, 0.5716, 1.0696, 0.2539, 0.4056, -0.3401, 0.5453, -0.2447, 1.0674000000000001, -0.0794, 1.0636, 0.00... | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(2) @ Z(1)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(2)) + 5.0 * (Z(6) @ Z(1)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(6)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(2)) + 5.0 * (Z(8) @ Z(4)) + 19.5 * Z(3) ... | 3 | 9 | 3 | {"smallest_eigenvalues": [-89.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5479) q[0];
rz(-0.2444) q[0];
rx(1.0655) q[1];
rz(-0.0855) q[1];
rx(1.065) q[2];
rz(0.006) q[2];
rx(1.0688) q[3];
rz(-0.0015) q[3];
rx(1.0709) q[4];
rz(0.0009) q[4];
rx(-0.0025) q[5];
rz(0.8194) q[5];
rx(0.09) q[6];
rz(0.5716) q[6];
rx(1.0696) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
f9a496c08e28d657f117f997b2d108d2 | 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": [937, 936], "expectation_value": -48.37882661797198, "params": [0.0823, 0.5672, 1.0027000000000001, 0.2848, 0.9998, 0.07200000000000001, 0.9966, 0.3851, 0.7763, 0.46990000000000004, 1.0071, 0.0805, 0.7773, 0.21150000000000002, 0.9955, 0.020900000000000002, -0.0187, 0.6701, 0.0028, 0.7495, 0.7805000000000001,... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(2) @ Z(4)) + 8.0 * (Z(3) @ Z(4)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(6) @ Z(1)) + 8.0 * (Z(5) @ Z(6)) + 8.0 * (Z(7) @ Z(5)) + 8.0 * (Z(8) @ Z(7)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(10) @ Z(7)) + -4.0 * Z(0) + 6.0 * Z(1) + 2.5 * Z(4) + 8.5 * Z(2) + 6.0 * Z(3) + 2.5 * Z(6) + 17.0 * Z(5) + 17.0 ... | 16 | 11 | 2 | {"smallest_eigenvalues": [-115.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.0, "smallest_bitstrings": ["10001010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0823) q[0];
rz(0.5672) q[0];
rx(1.0027) q[1];
rz(0.2848) q[1];
rx(0.9998) q[2];
rz(0.072) q[2];
rx(0.9966) q[3];
rz(0.3851) q[3];
rx(0.7763) q[4];
rz(0.4699) q[4];
rx(1.0071) q[5];
rz(0.0805) q[5];
rx(0.7773) q[6];
rz(0.2115) q[6];
rx(0.9955) 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], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
62cf0b1aa2f21b710dc273bc2e7c1873 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [21, 31], "expectation_value": -6.219099438712884, "params": null, "bitstrings": ["101010", "100000"], "total_optimization_steps": 54, "probabilities": [0.12953053585363375, 0.5652956544300739], "optimization_time": 48.88957357406616} | -0.5 * (Z(0) @ Z(4)) + 0.75 * (Z(5) @ Z(0)) + -1.5 * (Z(1) @ Z(5)) + -2.0 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.75 * Z(4) + -0.25 * Z(0) + -1.25 * Z(5) + 0.25 * Z(1) + 1.25 * Z(2) + 1.75 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["100000", "100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.5708) q[3];
cry(1.5708) q[4], q[2];
cry(1.5707) q[5], q[1];
ry(0.614) q[5];
cry(-1.5394) q[5], q[0];
cry(0.3623) q[2], q[1];
cry(0.5361) q[1], q[5];
cry(0.1049) q[1], q[2];
ry(0.23) q[4];
cry(0.1174) q[5], q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
7334f87116618ad33574723c9745d8e3 | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"sour... | {"states": [327, 323], "expectation_value": -2.989072576816081, "params": [0.7963, -0.0012000000000000001, 0.7888000000000001, 0.006900000000000001, 0.183, 0.2948, 0.18130000000000002, 0.0021000000000000003, 0.7911, 0.0043, 0.7897000000000001, 0.0028, 0.0898, 0.3573, 0.0872, 0.004, -0.0111, 0.4539, -0.0158, 0.0092, 0.7... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(4) + -0.5 * Z(0) + -0.5 * Z(6) + -1.0 * Z(1) + -0.5 * Z(7) + -0.5 * Z... | 7 | 9 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.0, "smallest_bitstrings": ["010011101", "110111000", "000011111", "011110100", "111110000", "010111100", "110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.7963) q[0];
rz(-0.0012) q[0];
rx(0.183) q[1];
rz(0.2948) q[1];
rx(0.7911) q[2];
rz(0.0043) q[2];
rx(0.0898) q[3];
rz(0.3573) q[3];
rx(-0.0111) q[4];
rz(0.4539) q[4];
rx(0.7792) q[5];
rz(0.2533) q[5];
rx(0.7828) q[6];
rz(0.0067) q[6];
rx(0.8063) 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": []} |
5034f358b60bb2416ead39a148c379a9 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "so... | {"states": [58, 92], "expectation_value": -1.0512327904352772, "params": [[-0.053700000000000005, -0.037700000000000004, -0.0419, 0.0747], [0.07010000000000001, 0.0572, 0.0646, -0.0044]], "bitstrings": ["1111000101", "1110100011"], "total_optimization_steps": 10, "probabilities": [0.001592165653223634, 0.00159216565322... | 0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(9)) + -1.0 * (Z(4) @ Z(6)) + 1.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(9)) + -0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -0.5... | 1 | 10 | 4 | {"smallest_eigenvalues": [-4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999, -4.999999999999999], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.666666666666666, "smallest_bitstrings": ["1111000011", "1110100101", "1110100011", "1111101011", "1111101101"... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[6];
rz(-0.0537) q[6];
cx q[9], q[6];
cx q[9], q[3];
rz(0.0537) q[3];
cx q[9], q[3];
cx q[6], q[3];
rz(0.1074) q[3];
cx q[6], q[3];
cx q[9], q[4];
rz(0.0537) q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | 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": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [63, 121], "expectation_value": -30.30665998169914, "params": null, "bitstrings": ["11000000", "10000110"], "total_optimization_steps": 100, "probabilities": [0.0767581592572071, 0.16623903505297943], "optimization_time": 165.14843273162842} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 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)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.5995) q[1];
ry(-0.6772) q[2];
ry(-18.6834) q[3];
ry(62.9278) q[7];
ry(23.7596) q[0];
cry(17.8632) q[1], q[3];
ry(63.0091) q[6];
ry(22.5857) q[4];
cry(10.0739) q[1], q[2];
cry(0.9802) q[1], 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(0.5995) 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[... |
5cbc7f8ae1a50d78d4d20f52d11c6d9a | 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": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [501, 437], "expectation_value": -1.3063616627526193, "params": [1.9968000000000001, 0.0006000000000000001, 2.0020000000000002, 0.0026000000000000003, 1.5557, 0.00030000000000000003, 2.013, 0.0036000000000000003, 2.0020000000000002, 0.0002, 0.8831, 0.004, 2.0116, 0.001, -0.0026000000000000003, 0.008700000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-3.625, -3.625], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.625, "smallest_bitstrings": ["100000011", "001001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.9968) q[0];
rz(0.0006) q[0];
rx(2.002) q[1];
rz(0.0026) q[1];
rx(1.5557) q[2];
rz(0.0003) q[2];
rx(2.013) q[3];
rz(0.0036) q[3];
rx(2.002) q[4];
rz(0.0002) q[4];
rx(0.8831) q[5];
rz(0.004) q[5];
rx(2.0116) q[6];
rz(0.001) q[6];
rx(-0.0026) q[7];
rz(0.0087... | OPENQASM 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": []} |
1f15db56645aa784f47efc16e5301c8d | 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": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [63, 1], "expectation_value": -3.307360692211968, "params": [[0.0666, 0.0733], [-0.06520000000000001, -0.0728]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.021744765161573476, 0.02439481817235387], "optimization_time": 2.873965263366699} | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 1 | 7 | 2 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.1998) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(-0.0666) q[1];
cx q[4], q[1];
cx q[4], q[2];
rz(-0.1998) q[2];
cx q[4], q[2];
cx q[1], q[2];
rz(-0.1665) q[2];
cx q[1], q[2];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
639c735073af882833143eef29734116 | 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": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target":... | {"states": [11, 15], "expectation_value": -6.2600445762619215, "params": [0.004, 0.0021000000000000003, -0.0043, -0.0022, 0.7157, 0.7095, -0.0004, -0.0025, 0.7133, 0.7072, -0.00030000000000000003, -0.0029000000000000002, 0.91, 0.9071, 0.8513000000000001, 0.8513000000000001, 0.9037000000000001, 0.9045000000000001, 0.859... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(8) ... | 13 | 10 | 1 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -7.0, "smallest_bitstrings": ["1101101001", "1101010101", "0101011101", "1111110000", "1111010100", "1101110001", "0101111001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.004) q[0];
ry(-0.0043) q[1];
ry(0.7157) q[2];
ry(-0.0004) q[3];
ry(0.7133) q[4];
ry(-0.0003) q[5];
ry(0.91) q[6];
ry(0.8513) q[7];
ry(0.9037) q[8];
ry(0.8593) q[9];
crz(0.0042) q[9], q[0];
crz(0.0006) q[8], q[9];
crz(0.0005) q[7], q[8];
crz(-0.0026) q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d1e337a2e105918e8c64bf021321a2d3 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 4, "target": 6}, {"source": 5, "target": 6}]} | {"states": [0, 60], "expectation_value": -8.522100064513728, "params": [0.47400000000000003, 0.2722, 0.3375, 0.7020000000000001, 0.5823, 0.2988, 0.2766, 0.5657, 0.48040000000000005, 0.6851, 0.2084, 0.5104000000000001, 0.4838, 0.6361, 0.3306, 0.33890000000000003, -0.0187, 0.7362000000000001, 0.0037, 0.8045, -0.235000000... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2) + -1.0 * Z(5) + -1.0 * Z(4) | 6 | 6 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.474) q[0];
rz(0.2722) q[0];
rx(0.5823) q[1];
rz(0.2988) q[1];
rx(0.4804) q[2];
rz(0.6851) q[2];
rx(0.4838) q[3];
rz(0.6361) q[3];
rx(-0.0187) q[4];
rz(0.7362) q[4];
rx(-0.235) q[5];
rz(0.6156) q[5];
crx(0.0209) q[5], q[4];
crx(0.5378) q[5], q[3];
crx(-0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 6} | {"circuits": [], "gradients": []} |
9112276215718200783 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 2], [11, 3, 5], [0, 7], [9, 5, 6], [9, 2, 4], [8, 9, 6], [0, 5], [9, 11], [9, 3, 1], [3, 6], [2, 5], [10, 6], [9, 3, 4], [1, 4]]} | {"states": [510, 478], "expectation_value": -2.9193667047621097, "params": [0.2827, 0.406, 0.2817, 0.0036000000000000003, 0.47000000000000003, -0.2811, 0.4843, -0.303, 0.46280000000000004, 0.32280000000000003, 0.4611, 0.0009000000000000001, 1.0852, 0.0089, 1.09, -0.0076, 1.1003, 0.0024000000000000002, 1.0928, 0.0066, 1... | 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(11)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.3333333333333333 * (Z(9) @ Z(3)) + 0.5 * (Z(9) @ Z(11)) + 0.166666666666666... | 8 | 12 | 1 | {"smallest_eigenvalues": [-5.666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.333333333333335, "smallest_bitstrings": ["111000100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.2827) q[0];
rz(0.406) q[0];
rx(0.47) q[1];
rz(-0.2811) q[1];
rx(0.4628) q[2];
rz(0.3228) q[2];
rx(1.0852) q[3];
rz(0.0089) q[3];
rx(1.1003) q[4];
rz(0.0024) q[4];
rx(1.107) q[5];
rz(0.0026) q[5];
rx(0.5661) q[6];
rz(0.242) q[6];
rx(0.9255) q[7];
rz(0.03... | OPENQASM 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": []} |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 1.8497231006622314} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(1.5708) q[2];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [10, 5], "expectation_value": -0.9301358398723403, "params": [[-0.0316, -0.0477, -0.0236, -0.0455], [0.010100000000000001, 0.0603, 0.035, 0.0412]], "bitstrings": ["0101", "1010"], "total_optimization_steps": 10, "probabilities": [0.0755889060867912, 0.10699605297573517], "optimization_time": 2.45119643211364... | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[2], q[0];
rz(0.079) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(-0.0948) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.0158) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(0.0948) q[1];
cx q[3], q[1];
rz(0.0948) q[2];
rz(0.0158) q[0];
rz(0) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
087038e9edc1ea672825729ff4eba005 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6... | {"states": [24383, 32575], "expectation_value": -6.34789366217086, "params": [0.9062, 0.10600000000000001, 0.9105000000000001, 0.23600000000000002, 0.9035000000000001, 0.36910000000000004, 0.9077000000000001, 0.0019, 0.9067000000000001, -0.0017000000000000001, 0.9103, -0.0027, 0.9047000000000001, -0.0015, -0.0025, 0.65... | 0.5 * (Z(9) @ Z(11)) + 1.0 * (Z(12) @ Z(11)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(11)) + 1.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(12)) + -0.5 * (Z(0) @ Z(9)) + -0.5 * (Z(0) @ Z(10)) + -1.0 * (Z(1) @ Z(9)) + -1.0 * (Z(1) @ Z(10)) + 0.9090909090909091 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * (Z(2) @ Z(10)) + 0... | 16 | 15 | 2 | {"smallest_eigenvalues": [-20.27272727272699], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.99999999999982, "smallest_bitstrings": ["000000011000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.9062) q[0];
rz(0.106) q[0];
rx(0.9105) q[1];
rz(0.236) q[1];
rx(0.9035) q[2];
rz(0.3691) q[2];
rx(0.9077) q[3];
rz(0.0019) q[3];
rx(0.9067) q[4];
rz(-0.0017) q[4];
rx(0.9103) q[5];
rz(-0.0027) q[5];
rx(0.9047) q[6];
rz(-0.0015) q[6];
rx(-0.0025) 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": 6} | {"circuits": [], "gradients": []} |
8868119259763015765 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 3, 5], [1, 2], [0, 2, 3], [2, 5]]} | {"states": [21, 49], "expectation_value": -0.05653980482086833, "params": [[0.0776], [-0.0838]], "bitstrings": ["101010", "001110"], "total_optimization_steps": 10, "probabilities": [0.017122569039683934, 0.017122569039683937], "optimization_time": 0.46364331245422363} | 0.5 * (Z(1) @ Z(4)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.3333333333333333 * Z(3) + 0.333333333... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333, -1.8333333333333333], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -1.8333333333333328, "smallest_bitstrings": ["001110", "101010", "010101", "010001", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(0.0776) q[1];
cx q[4], q[1];
cx q[3], q[0];
rz(0.0517) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(0.0259) q[5];
cx q[3], q[5];
cx q[0], q[5];
rz(0.0259) q[5];
cx q[0], q[5];
cx q[1], q[2];
rz(0.0776... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[4], q[1];
rz(x0) q[1];
cx q[4], q[1];
cx q[3], q[0];
rz(x1) q[0];
cx q[3], q[0];
cx q[3], q[5];
rz(x2) q[5]... | null | {"circuits": [], "gradients": []} |
-4697285327909507156 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2], [6, 7], [8, 2, 4, 7], [0, 1, 3, 4, 5, 6, 8], [0, 1, 7], [1, 2, 3, 5, 7], [2, 4, 5, 6]]} | {"states": [314, 315], "expectation_value": -0.4999187046364712, "params": [[-0.2581], [0.26930000000000004]], "bitstrings": ["011000101", "011000100"], "total_optimization_steps": 30, "probabilities": [0.004085897256932525, 0.004116791045550071], "optimization_time": 2.096884250640869} | 0.5 * (Z(0) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.023809523809523808 * (Z(6) @ Z(0)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(6)) + 0.08333333333333333 * (Z(8) @ Z(2)) + 0.023809523809523808 * (Z(8) @ Z(0)) + 0.023809523809523808 * (Z(8) @ Z(6)) + 0.08333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.140476190476191], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0333333333333337, "smallest_bitstrings": ["011000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.2581) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(-0.043) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(-0.0123) q[6];
cx q[0], q[6];
cx q[2], q[7];
rz(-0.0688) q[7];
cx q[2], 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] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
b5910a324f048b27c641d80d330b3d22 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 8}, {"weight": 19, "source": 0, "target": 2}, {"weight": 16, "sourc... | {"states": [482, 418], "expectation_value": -36.63010394969251, "params": [[[0.5028, 0.0016], [0.49010000000000004, 0.0038], [0.383, 0.0649], [0.49810000000000004, 0.0033], [0.1585, -0.1777], [-0.005, 0.3054], [-0.0043, 0.38430000000000003], [0.5031, 0.0015], [0.0004, -0.27]], [[0.5039, 0.0016], [0.48850000000000005, 0... | 5.0 * (Z(0) @ Z(3)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(2) @ Z(0)) + 5.0 * (Z(1) @ Z(3)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(7)) + 0.5 * Z(3) + 8.0 * Z(0) + 2.0 * Z(2) + 0.5 * Z(1) + -6.5... | 1 | 9 | 4 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["001011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5028) q[0];
rz(0.0016) q[0];
rx(0.4901) q[1];
rz(0.0038) q[1];
rx(0.383) q[2];
rz(0.0649) q[2];
rx(0.4981) q[3];
rz(0.0033) q[3];
rx(0.1585) q[4];
rz(-0.1777) q[4];
rx(-0.005) q[5];
rz(0.3054) q[5];
rx(-0.0043) q[6];
rz(0.3843) q[6];
rx(0.5031) 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", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-5741738818463455340 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[0, 10, 7], [8, 3, 4], [8, 10, 7], [8, 11, 4], [8, 2, 10], [9, 10, 3], [0, 4, 7], [9, 7], [11, 3], [11, 7], [3, 6], [11, 5], [9, 6], [2, 11], [1, 3, 7], [9, 2, 3], [8, 6], [8, 5], [0, 11, 4], [0, 8], [10, 4], [1, 11], [1, 5, 7], [9, 4, 5], [3, 5], [0, 3],... | {"states": [413, 3826], "expectation_value": -0.18878600372198842, "params": [[0.057100000000000005], [-0.0531]], "bitstrings": ["111001100010", "000100001101"], "total_optimization_steps": 10, "probabilities": [0.00028029166796612507, 0.00028250694980430543], "optimization_time": 26.84835648536682} | 0.3333333333333333 * (Z(0) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(10)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(10)) + 0.5 * (Z(8) @ Z(0)) + 0.16666666666666666 * (Z(8) @ Z(7)) + 0.3333333333333333 * (Z(3) @ Z(10)) + 0.5 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(7)) + 0.3333333333333333 * (Z(3)... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.666666666666668, "smallest_bitstrings": ["000100001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[10], q[0];
rz(0.0381) q[0];
cx q[10], q[0];
cx q[10], q[7];
rz(0.0381) q[7];
cx q[10], q[7];
cx q[0], q[7];
rz(0.0381) q[7];
cx q[0], q[7];
cx q[10], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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];
... | null | {"circuits": [], "gradients": []} |
4620350738221871797 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3], [2, 5, 6], [8, 2, 3, 4], [0, 1, 3], [8, 2, 3, 5], [0, 4, 6, 7], [8, 3, 7], [0, 3, 4, 6], [0, 8, 7], [0, 1, 7], [8, 2, 4, 5], [8, 1], [8, 4, 5, 7], [0, 5], [1, 5], [0, 1, 2, 4], [3, 5, 6], [2, 3, 6, 7]]} | {"states": [123, 250], "expectation_value": -3.9136457478140816, "params": null, "bitstrings": ["110000100", "100000101"], "total_optimization_steps": 63, "probabilities": [0.07969277382689688, 0.8086531055058936], "optimization_time": 163.97808814048767} | 0.25 * (Z(1) @ Z(2)) + 0.41666666666666663 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.916666666666667, "smallest_bitstrings": ["100000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5703) q[3];
ry(1.5158) q[7];
ry(1.4075) q[2];
cry(-1.2254) q[1], q[8];
ry(1.1319) q[4];
cry(-1.0631) q[5], q[0];
ry(0.7364) q[1];
cry(-0.5997) q[7], q[8];
cry(0.5712) q[3], q[1];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5703) 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... |
-8130761535533955353 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 7], [3, 4], [3, 6], [5, 6], [1, 2], [2, 4], [4, 6], [1, 3], [0, 2], [4, 5], [0, 1], [0, 6], [2, 6], [2, 3], [2, 7], [5, 7]]} | {"states": [75, 180], "expectation_value": -0.184845278487761, "params": [[-0.07730000000000001], [0.0775]], "bitstrings": ["10110100", "01001011"], "total_optimization_steps": 10, "probabilities": [0.0048979008395426005, 0.0048979008395426005], "optimization_time": 2.3307433128356934} | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["01001011", "10110100"]} | 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[7], q[0];
rz(-0.0773) q[0];
cx q[7], q[0];
cx q[4], q[3];
rz(-0.0773) q[3];
cx q[4], q[3];
cx q[0], q[6];
rz(-0.0773) q[6];
cx q[0], q[6];
cx q[4], q[6];
rz(-0.0773) q[6];
cx q[4], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[7], q[0];
rz(x0) q[0];
cx q[7], q[0];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6];
cx q[4]... | null | {"circuits": [], "gradients": []} |
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": 28.10831904411316} | 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 | 3 | {"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... |
-4661886308928240865 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 5], [0, 1, 3, 4, 7, 8], [2, 3, 4, 5, 6, 8], [4, 5, 6, 7], [1, 2], [0, 6], [0, 2, 3, 4, 5, 7], [0, 2, 3, 4, 7, 8]]} | {"states": [379, 347], "expectation_value": -2.1564660029166496, "params": [1.3961000000000001, 0.030600000000000002, 1.3914, 0.009000000000000001, 0.2947, 0.6142000000000001, 0.2974, 0.0053, 1.3954, -0.18760000000000002, 1.3996000000000002, 0.0094, 1.1440000000000001, -0.4283, 0.9697, 0.0059, 1.3933, -0.29350000000000... | 0.5 * (Z(1) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(5)) + 0.03333333333333333 * (Z(0) @ Z(1)) + 0.06666666666666667 * (Z(3) @ Z(5)) + 0.03333333333333333 * (Z(3) @ Z(1)) + 0.1 * (Z(3) @ Z(0)) + 0.15 * (Z(4) @ Z(5)) + 0.03333333333333333 * (Z(4) @ Z(1)) + 0.1 * (Z(4) @ Z(0)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.1... | 5 | 9 | 1 | {"smallest_eigenvalues": [-2.483333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666665, "smallest_bitstrings": ["010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.3961) q[0];
rz(0.0306) q[0];
rx(0.2947) q[1];
rz(0.6142) q[1];
rx(1.3954) q[2];
rz(-0.1876) q[2];
rx(1.144) q[3];
rz(-0.4283) q[3];
rx(1.3933) q[4];
rz(-0.2935) q[4];
rx(1.4011) q[5];
rz(-0.1946) q[5];
rx(0.4866) q[6];
rz(-0.5686) q[6];
rx(1.3921) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [5, 58], "expectation_value": -1.0218099221622392, "params": [[0.0734, 0.0675, 0.0695, 0.0665], [-0.0781, -0.0597, -0.0601, -0.0609]], "bitstrings": ["111010", "000101"], "total_optimization_steps": 10, "probabilities": [0.03287530100679274, 0.03481693190273865], "optimization_time": 6.233116149902344} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(3) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + 0.0 * Z(2) + -0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[0];
rz(0.0734) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0734) q[5];
cx q[0], q[5];
cx q[3], q[1];
rz(0.0734) q[1];
cx q[3], q[1];
cx q[5], q[1];
rz(0.0734) q[1];
cx q[5], q[1];
cx q[5], q[2];
rz(0.0734... | OPENQASM 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": []} |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [10, 97], "expectation_value": -1.464139302862377, "params": [[0.06470000000000001, 0.0687, 0.075], [-0.058600000000000006, -0.060500000000000005, -0.0713]], "bitstrings": ["1110101", "0011110"], "total_optimization_steps": 10, "probabilities": [0.014277618793046353, 0.016183293720274973], "optimization_time... | 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(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"]} | 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(0.0647) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.0647) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0647) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0647) 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] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
64eae7c41dfa3290e7cb58a32391f057 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [4, 68], "expectation_value": -2.247802865635872, "params": [0.8099000000000001, -0.0014, 0.5630000000000001, -0.005, 0.0023, 0.5881000000000001, 0.0029000000000000002, 0.6005, 0.806, 0.0015, 0.7045, -0.0017000000000000001, 0.0026000000000000003, 0.45370000000000005, 0.8076, 0.003, 0.4874, -0.1865, 0.0023, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(4) @ Z(0)) + 0.0625 * (Z(6) @ Z(0)) + 0.0625 * (Z(3) @ Z(2)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(6) @ Z(3)) + 0.0625 * (Z(6) @ Z(4)) + -0.0625 * (Z(3) @ Z(0) @ Z... | 4 | 7 | 2 | {"smallest_eigenvalues": [-3.0625, -3.0625, -3.0625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0625, "smallest_bitstrings": ["1011011", "0111011", "0111101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8099) q[0];
rz(-0.0014) q[0];
rx(0.563) q[1];
rz(-0.005) q[1];
rx(0.0023) q[2];
rz(0.5881) q[2];
rx(0.0029) q[3];
rz(0.6005) q[3];
rx(0.806) q[4];
rz(0.0015) q[4];
rx(0.7045) q[5];
rz(-0.0017) q[5];
rx(0.0026) q[6];
rz(0.4537) q[6];
crx(0.5593) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": ... | {"states": [9, 26], "expectation_value": -0.9886475616184645, "params": [[-0.0723, -0.08030000000000001, -0.07780000000000001], [0.0751, 0.0777, 0.0742]], "bitstrings": ["110110", "100101"], "total_optimization_steps": 10, "probabilities": [0.02739790435957452, 0.030234892910143543], "optimization_time": 3.444605827331... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0723) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0723) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0723) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0723) q[5];
cx q[0], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
1dcb3c744ddd55658248ce3c7196418c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}]} | {"states": [0, 6], "expectation_value": -1.887537825330675, "params": [0.38720000000000004, -0.0648, 0.37120000000000003, -0.046400000000000004, 0.3945, 0.0167, 0.34550000000000003, -0.0732, -0.2237, 0.5912000000000001, 0.24130000000000001, 0.24330000000000002, 0.3592, 0.022000000000000002, 0.2666, 0.0066, 0.3387, 0.06... | -1.0 * (Z(0) @ Z(1)) + 0.5 * Z(1) + 0.5 * Z(0) + -0.5 * Z(2) | 6 | 3 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
rx(0.3872) q[0];
rz(-0.0648) q[0];
rx(0.3945) q[1];
rz(0.0167) q[1];
rx(-0.2237) q[2];
rz(0.5912) q[2];
crx(0.2993) q[2], q[1];
crx(0.2821) q[2], q[0];
crx(-0.1155) q[1], q[2];
crx(0.2821) q[1], q[0];
crx(-0.1155) q[0], q[2];
crx(0.2993) q[0], q[1];
rx(0.3712)... | OPENQASM 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": 2} | {"circuits": [], "gradients": []} |
5264b19f3401032e019b258a19fe08a0 | 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": 4, "source": 0, "target": 7}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 7}, {"capacity": 3, "source": 3, ... | {"states": [95, 127], "expectation_value": -0.2952209451375102, "params": [[-0.0873], [0.08080000000000001]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004963980840810923, 0.0050249217933803795], "optimization_time": 4.067695617675781} | 0.25 * (Z(0) @ Z(7)) + -0.5 * (Z(1) @ Z(7)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(7)) + -0.75 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + -1.0 * (Z(6) @ Z(5)) + -1.0 * Z(7) + -0.25 * Z(0) + 1.25 * Z(1) + 0.0 * Z(3) + 1.0 * Z(5) + 0.25 * Z(4) + -0.25 * Z(2) + -1.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "10100010", "10100000", "10000010"]} | 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[7], q[0];
rz(-0.0437) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(0.0873) q[1];
cx q[7], q[1];
cx q[1], q[3];
rz(0.131) q[3];
cx q[1], q[3];
cx q[7], q[5];
rz(0.0437) q[5];
cx q[7], q[5];
cx 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[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[7], q[0];
r... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1e191a11f35582298737a38bddb93633 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [0, 264], "expectation_value": -25.888199277111255, "params": [-0.5157, -0.0024000000000000002, 0.5317000000000001, 0.0033, -0.0081, 0.19540000000000002, 0.0092, 0.0004, 0.0024000000000000002, 0.5935, 0.0025, 0.009600000000000001, 0.8013, 0.0016, 0.8017000000000001, 0.0047, 0.0675, -0.0154, -0.0403, 0.0043, ... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -1.75 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -1.5 ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["111011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.5157) q[0];
rz(-0.0024) q[0];
rx(-0.0081) q[1];
rz(0.1954) q[1];
rx(0.0024) q[2];
rz(0.5935) q[2];
rx(0.8013) q[3];
rz(0.0016) q[3];
rx(0.0675) q[4];
rz(-0.0154) q[4];
rx(0.0023) q[5];
rz(0.5894) q[5];
rx(0.0023) q[6];
rz(0.5823) q[6];
rx(0.0027) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
ae9c84de96340fafef2df50aa0a81910 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, ... | {"states": [50, 22], "expectation_value": -4.996464057144183, "params": null, "bitstrings": ["1001101", "1101001"], "total_optimization_steps": 31, "probabilities": [0.06634840825551175, 0.9303662303742033], "optimization_time": 32.642154693603516} | 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(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + -1.0 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(5) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001101", "1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[0];
ry(-1.5681) q[3];
ry(-1.5681) q[6];
ry(1.4449) q[5];
ry(1.4449) q[2];
cry(-1.0343) q[4], q[1];
ry(0.7003) q[4];
ry(-0.4549) q[1];
cry(0.4963) q[5], q[4];
cry(-0.3789) q[5], q[1];
cry(0.2... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
336dab1a0f29cbb797a483d443b63b25 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, ... | {"states": [100, 27], "expectation_value": -0.12185232119315985, "params": [[-0.0585], [0.0734]], "bitstrings": ["0011011", "1100100"], "total_optimization_steps": 10, "probabilities": [0.008689332606473563, 0.008816887851819468], "optimization_time": 3.1592187881469727} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(3) + -0.5 * Z(0) + -0.5 * Z(6) + 0.0 * Z(1) + -1.5 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001100", "1100100", "0001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(-0.0585) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(-0.0585) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(-0.0585) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0585) q[4];
cx q[3], q[4];
cx q[6], 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[6];
rz(x0) q[6];
cx q[0], q[6]... | null | {"circuits": [], "gradients": []} |
96d3819ecbf0e5da50ec00a60723b600 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capac... | {"states": [512, 511], "expectation_value": -9.645795693356813, "params": [[[-0.0047, 0.4657], [0.0019, -0.0109], [0.0026000000000000003, -0.0029000000000000002], [0.0015, 0.0022], [0.0048000000000000004, 0.0021000000000000003], [0.0031000000000000003, 0.0031000000000000003], [0.0024000000000000002, 0.0028], [0.0022, -... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2)) + -0.5 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(4)) + 1.5 * (Z(9) @ Z(0)) + -0.5 * (Z(9) @ Z... | 15 | 10 | 4 | {"smallest_eigenvalues": [-10.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0047) q[0];
ry(0.0019) q[1];
ry(0.0026) q[2];
ry(0.0015) q[3];
ry(0.0048) q[4];
ry(0.0031) q[5];
ry(0.0024) q[6];
ry(0.0022) q[7];
ry(-0.2052) q[8];
ry(0.0245) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
8197999484372226377 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 3, 7], [1, 4, 6], [0, 2, 4], [4, 5]]} | {"states": [246, 231], "expectation_value": -0.5105022212148851, "params": [[0.38170000000000004], [-0.38520000000000004]], "bitstrings": ["00001001", "00011000"], "total_optimization_steps": 40, "probabilities": [0.009740022690359569, 0.009740022690359574], "optimization_time": 2.085573196411133} | 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.16666666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.5000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5000000000000002, "smallest_bitstrings": ["00011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(0.1272) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(0.1272) q[7];
cx q[3], q[7];
cx q[0], q[7];
rz(0.1272) q[7];
cx q[0], q[7];
cx q[0], q[4];
rz(0.1272) q[4];
cx q[0], q[4];
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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[3], q[7];
rz(x0) q[7];
cx q[3], q[7];
cx q[0], q... | null | {"circuits": [], "gradients": []} |
d55d504e597705d8581d37ec0d2e41ca | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 1, "target": 6... | {"states": [0, 63], "expectation_value": -3.617738457709227, "params": [[[-0.0021000000000000003, -0.8], [-0.0024000000000000002, 0.0021000000000000003], [-0.0027, -0.0022], [-0.0013000000000000002, -0.003], [-0.0022, -0.0025], [-0.002, 0.26530000000000004], [1.76, 0.0035]], [[0.4464, -1.3739000000000001], [-0.00240000... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -1.0 * (Z(2) @ Z(5)) + -0.5 * (Z(3) @ Z(5)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(4) @ Z(3)) + 0.75 * Z(1) + -0.25 * Z(0) + -0.5 * Z(6) + -0.5 * Z(5) + -0.5 * Z(2) + 0.75 * Z(3) + 0.25 * Z(4) | 15 | 7 | 2 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000000", "1010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.0021) q[0];
ry(-0.0024) q[1];
ry(-0.0027) q[2];
ry(-0.0013) q[3];
ry(-0.0022) q[4];
ry(-0.002) q[5];
ry(1.76) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.8) q[0];
ry(0.0021) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
2034291987811787586 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 4], [0, 1], [2, 3], [1, 2], [3, 5]]} | {"states": [46, 43], "expectation_value": -2.2479572546498563, "params": null, "bitstrings": ["010001", "010100"], "total_optimization_steps": 35, "probabilities": [0.057266740916939084, 0.8259636029682798], "optimization_time": 25.80961012840271} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["101011", "010100"]} | 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(-1.0342) q[4], q[1];
cry(-1.0342) q[5], q[3];
ry(1.3762) q[2];
cry(-0.7081) q[0], q[1];
ry(1.0162) q[4];
cry(1.1525) q[4], q[0];
ry(-0.5) q[1];
cry(-0.5042) q[2], q[3];
ry(1.1464) q[5];
ry(-0.4336) q[3];
cry(... | 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];\ncry(-1.0342) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
7767407377908862442 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 5, 6, 7], [0, 1, 2, 3, 5, 6, 7, 8], [0, 1, 4, 5, 6, 7], [0, 1, 2, 4, 6], [8, 2, 4, 6]]} | {"states": [379, 499], "expectation_value": -0.5769628361109249, "params": [[0.43960000000000005], [-0.43460000000000004]], "bitstrings": ["010000100", "000001100"], "total_optimization_steps": 60, "probabilities": [0.00407848027953394, 0.004078480279533943], "optimization_time": 25.704991579055786} | 0.18333333333333335 * (Z(2) @ Z(4)) + 0.08333333333333334 * (Z(5) @ Z(4)) + 0.06785714285714287 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(6) @ Z(4)) + 0.2011904761904762 * (Z(6) @ Z(2)) + 0.10119047619047619 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(7) @ Z(4)) + 0.06785714285714287 * (Z(7) @ Z(2)) + 0.101190476190476... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.028571428571429], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0285714285714287, "smallest_bitstrings": ["000001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[4], q[2];
rz(0.1612) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.0733) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.0597) q[5];
cx q[2], q[5];
cx q[4], q[6];
rz(0.1905) q[6];
cx q[4], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
-4940256939787009174 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[4, 5], [8, 2, 5, 6], [1, 6], [5, 6, 7], [3, 5], [2, 6, 7], [2, 4, 6], [8, 4, 7], [0, 4]]} | {"states": [54, 459], "expectation_value": -0.03903020554556773, "params": [[-0.044000000000000004], [0.0524]], "bitstrings": ["111001001", "000110100"], "total_optimization_steps": 10, "probabilities": [0.002057714360204376, 0.002061002080030096], "optimization_time": 0.863837718963623} | 0.5 * (Z(4) @ Z(5)) + 0.08333333333333333 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(5)) + 0.16666666666666666 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(8)) + 0.25 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.4166666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.166666666666666, "smallest_bitstrings": ["000110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[4];
rz(-0.044) q[4];
cx q[5], q[4];
cx q[5], q[8];
rz(-0.0073) q[8];
cx q[5], q[8];
cx q[4], q[8];
rz(-0.0147) q[8];
cx q[4], q[8];
cx q[5], q[2];
rz(-0.0073) q[2];
cx q[5], q[2... | 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];... | null | {"circuits": [], "gradients": []} |
919ebe96150ea33963e1b88a334f3105 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [128, 127], "expectation_value": -2.3268161099066194, "params": [[-0.0506, -0.05, -0.0329], [0.0577, 0.0601, 0.0568]], "bitstrings": ["01111111", "10000000"], "total_optimization_steps": 10, "probabilities": [0.009241443267765406, 0.009892360565482662], "optimization_time": 4.447083950042725} | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "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[7], q[0];
rz(-0.0253) q[0];
cx q[7], q[0];
cx q[6], q[1];
rz(0.1265) q[1];
cx q[6], q[1];
cx q[1], q[2];
rz(0.1012) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.0759) q[3];
cx q[6], q[3];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
f490a28ecdd83f85cb7689547a0eb0f1 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}]} | {"states": [20, 38], "expectation_value": -0.026450423840212026, "params": [[0.0083, 0.0108, -0.025500000000000002, 0.044000000000000004], [-0.016300000000000002, -0.0269, 0.021400000000000002, -0.027800000000000002]], "bitstrings": ["101011", "011001"], "total_optimization_steps": 10, "probabilities": [0.0159724140223... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + -0.25 * Z(0) + -0.5 * Z(1) + -0.75 * Z(2) + 0.0 * Z(3) + -0.25 * Z(4) + -0.7... | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["011001"]} | 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(0.0083) q[0];
cx q[1], q[0];
cx q[2], q[3];
rz(0.0042) q[3];
cx q[2], q[3];
cx q[4], q[2];
rz(0.0042) q[2];
cx q[4], q[2];
cx q[4], q[3];
rz(0.0042) q[3];
cx q[4], q[3];
cx q[4], q[2];
cx q[2], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
081a3ef2a02910794db9cb14b9d27e2c | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 3}, {"id": 1}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 1}, {"source": 1, "target": 4}]} | {"states": [27869, 27995], "expectation_value": -6.070761220037268, "params": [[-0.3829], [0.4451]], "bitstrings": ["001001100100010", "001001010100100"], "total_optimization_steps": 230, "probabilities": [0.001065978093238895, 0.001065978093238895], "optimization_time": 20.30052423477173} | 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.... | 5 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999972], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999957, "smallest_bitstrings": ["001001010100100"]} | 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];
cx q[1], q[0];
rz(-0.3829) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3829) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3829) q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
542cdbd85175981b12cba21c5251dcc2 | 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": 5}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 7}, {"source": 2, "target": 5}, {"sour... | {"states": [340, 342], "expectation_value": -4.338937489622536, "params": [[1.004, 0.0023, 0.9935, 0.2662, 0.9833000000000001, 0.0024000000000000002, 0.999, 1.0004, 0.0035], [1.0032, 0.0026000000000000003, 1.0010000000000001, 0.2308, 0.9919, 0.0009000000000000001, 0.38780000000000003, 0.37670000000000003, 0.002], [0.99... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(6) @ Z(8)) + -0.5 * Z(5) + -0.5 * Z(0) + -1.5 * Z(8) + -1.0 * Z(4) + -0.5 * Z(1) + -0.5 * Z(7) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(6) | 10 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["000011011", "010011001", "010101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.004) q[0];
ry(0.0023) q[1];
ry(0.9935) q[2];
ry(0.2662) q[3];
ry(0.9833) q[4];
ry(0.0024) q[5];
ry(0.999) q[6];
ry(1.0004) q[7];
ry(0.0035) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [24, 30], "expectation_value": -4.999934073503016, "params": null, "bitstrings": ["100111", "100001"], "total_optimization_steps": 27, "probabilities": [1.383379202653001e-05, 0.9999481835511215], "optimization_time": 29.90472102165222} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + 0.0 * Z(4) + -1.5 * Z(5) | 1 | 6 | 4 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100001"]} | 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[0];
ry(-1.5681) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4449) q[1];
ry(1.4449) q[2];
cry(0.1187) q[3], q[4];
cry(0.1188) q[4], q[1];
cry(0.1188) q[1], q[2];
cry(0.1186) q[1], q[3];
cry(-0.0027)... | 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[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
6e14ca9588bf45c615e1efe2adcd0df8 | 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": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 4, "target": 5},... | {"states": [1920, 2047], "expectation_value": -0.23540090030316535, "params": [[-0.0177], [0.0173]], "bitstrings": ["00001111111", "00000000000"], "total_optimization_steps": 10, "probabilities": [0.0005176659659835843, 0.0005181918073202398], "optimization_time": 40.872705936431885} | -1.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(1) @ Z(3)) + 1.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(4)) + -2.5 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(4)) + 0.5 * (Z(9) @ Z(7)) + -3.5 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(4)) + -2.5 * (Z(10) @ Z(7)) + ... | 1 | 11 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.0, "smallest_bitstrings": ["00000000000"]} | 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[2], q[0];
rz(0.0531) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0177) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.0708) q[3];
cx q[0], q[3];
cx q[0], q[1];
rz(-0.0177) ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9]... | {"node": 4} | {"circuits": [], "gradients": []} |
4831ab012b2dd3a86550af07c5dc6e17 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 1, "source": 1, "target": 5}, {"capacity": 2, "source": 1, "target": 6... | {"states": [8191, 8063], "expectation_value": -20.557981264207548, "params": [-0.0015, 0.0031000000000000003, 0.0078000000000000005, 0.0033, 0.3966, 0.39280000000000004, 0.40290000000000004, 0.4, 0.4015, 0.3946, 0.3997, 0.39490000000000003, 0.3894, 0.3914, 0.19390000000000002, 0.1875, 0.4066, 0.40140000000000003, 0.393... | -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(8) @ Z(1)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 ... | 14 | 15 | 3 | {"smallest_eigenvalues": [-23.499999999999833], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.499999999999783, "smallest_bitstrings": ["110000010000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(-0.0015) q[0];
ry(0.0078) q[1];
ry(0.3966) q[2];
ry(0.4029) q[3];
ry(0.4015) q[4];
ry(0.3997) q[5];
ry(0.3894) q[6];
ry(0.1939) q[7];
ry(0.4066) q[8];
ry(0.3931) q[9];
ry(0.3935) q[10];
ry(0.4) q[11];
ry(0.393) q[12];
ry(0.3916) q[13];
ry(0.398) q[14];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
f74dd1a27eee66b47da2da36ac12ded0 | 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": 7}, {"source": 0, "target": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"sour... | {"states": [38, 30], "expectation_value": -6.02501502896003, "params": [-0.0036000000000000003, -0.001, -0.0088, 0.0, -0.0009000000000000001, -0.0028, 1.0341, 0.6478, -0.2089, 0.0839, -0.0471, -0.2451, 0.5976, 0.5759000000000001, 0.5213, 0.5266000000000001, 0.0021000000000000003, 0.0031000000000000003, -0.0027, -0.0045... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.5, "smallest_bitstrings": ["111100001", "011100011", "100011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0036) q[0];
ry(-0.0088) q[1];
ry(-0.0009) q[2];
ry(1.0341) q[3];
ry(-0.2089) q[4];
ry(-0.0471) q[5];
ry(0.5976) q[6];
ry(0.5213) q[7];
ry(0.0021) q[8];
crx(-0.9046) q[8], q[0];
crx(-0.0147) q[7], q[8];
crx(-0.0584) q[6], q[7];
crx(0.4669) q[5], q[6];
crx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | null | {"circuits": [], "gradients": []} |
f22774a37228450f47b18c5ed29e1233 | 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": 8}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 7}, {"sour... | {"states": [376, 380], "expectation_value": -4.709501994642074, "params": [[[0.1753, 0.22390000000000002, 0.0018000000000000002, 0.0067], [0.15180000000000002, 0.0678, 1.097, -0.0046], [1.1006, -0.018000000000000002, 1.1053, 0.0332], [0.6532, -0.1685, 0.4384, 0.117], [-0.0441, -0.1212, 0.1839, 0.030000000000000002], [-... | 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + -1.0 * Z(8) + 0.0 * Z(0) + 0.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(2) + 0.0 * Z(3) + -1.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(6) | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["010000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.1753) q[0];
rz(0.2239) q[0];
ry(0.1518) q[1];
rz(0.0678) q[1];
ry(1.1006) q[2];
rz(-0.018) q[2];
ry(0.6532) q[3];
rz(-0.1685) q[3];
ry(-0.0441) q[4];
rz(-0.1212) q[4];
ry(-0.2351) q[5];
rz(0.1172) q[5];
ry(1.0984) q[6];
rz(0.1352) q[6];
ry(-0.0317) 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": []} |
edf882d81ff9cc6dd04b2b372b99a445 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [95, 127], "expectation_value": -7.991832960744636, "params": null, "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 98, "probabilities": [0.11657775813715437, 0.5751793152187943], "optimization_time": 158.50682520866394} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(7)) + -0.5 * (Z(3) @ Z(6)) + -1.25 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(7)) + -0.5 * (Z(4)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-11.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.25, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.5708) q[2], q[4];
cry(1.5706) q[2], q[6];
cry(1.57) q[3], q[5];
cry(1.5707) q[5], q[1];
cry(1.566) q[5], q[7];
cry(1.0109) q[7], q[3];
ry(0.2929) q[5];
cry(-1.4176) q[7], q[... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
a0d529ca36dd3a1366498490d13dd5e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": ... | {"states": [44, 14], "expectation_value": -3.496463938080505, "params": null, "bitstrings": ["010011", "110001"], "total_optimization_steps": 25, "probabilities": [0.06634813061618085, 0.9303663903799576], "optimization_time": 16.148403882980347} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * Z(4) + 0.0 * Z(0) + -1.0 * Z(1) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110", "110001", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5681) q[1];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[2];
cry(-1.0342) q[4], q[0];
ry(0.7003) q[4];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[0];
cry(0.2489) q[2], q[4];
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(-1.5681) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
4441247380955851383 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 3], [0, 1], [2, 3, 4], [0, 5], [3, 7], [4, 5, 6, 7], [1, 2, 6], [3, 5], [1, 7]]} | {"states": [124, 109], "expectation_value": -2.577375957499723, "params": null, "bitstrings": ["10000011", "10010010"], "total_optimization_steps": 64, "probabilities": [0.09824958271296928, 0.7661777469990966], "optimization_time": 110.77895927429199} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.9166666666666683], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333335, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2292) q[2];
cry(-1.0342) q[5], q[0];
ry(0.9138) q[5];
cry(-1.361) q[7], q[3];
cry(1.4327) q[5], q[1];
cry(-0.8695) q[1], q[0];
cry(-0.4936) q[5], q[3];
cry(0.415) q[2], q[5];
ry(0.8203) q[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];\nry(1.2292) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
-8634747951560216277 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2], "hyperedges": [[0, 2], [1, 2]]} | {"states": [1, 6], "expectation_value": -0.8584632227034504, "params": null, "bitstrings": ["110", "001"], "total_optimization_steps": 11, "probabilities": [0.07556414489901593, 0.8229185809877103], "optimization_time": 3.8821561336517334} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cry(-1.0342) q[1], q[2];
ry(0.7003) q[1];
cry(-0.7092) q[0], q[2];
cry(1.1516) q[1], q[0];
cry(0.4386) q[0], q[1];
ry(-0.3186) q[2];
ry(0.2661) q[0];
cry(-0.2722) q[2], q[0];
cry(-0.2402) q[2], q[1];
c[0] = measure q[0];
c[1] = measure ... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\ncry(-1.0342) q[1], q[2]... |
3701509796354162709 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 11], [0, 3], [4, 6], [2, 11], [9, 12], [0, 11], [11, 4], [3, 4], [10, 2], [0, 9], [3, 12], [3, 5], [8, 6], [8, 7]]} | {"states": [2670, 622], "expectation_value": -0.7041709944370041, "params": [0.6467, 0.6472, 0.6917, 0.6930000000000001, 0.6316, 0.6353, 0.9552, 0.9540000000000001, 0.6197, 0.6243000000000001, 0.6103000000000001, 0.6076, 0.9642000000000001, 0.9673, 0.9809, 0.9800000000000001, 0.5867, 0.5875, 0.9386, 0.9446, 0.963800000... | 0.5 * (Z(1) @ Z(11)) + 0.5 * (Z(0) @ Z(11)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(11)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(11)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(12) @ Z(3)) + 0.5 * (Z(12) @ Z(9)) + 0.5 * (Z(10) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(8)) + 0.0 *... | 13 | 13 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1110110010001", "0001001101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.6467) q[0];
ry(0.6917) q[1];
ry(0.6316) q[2];
ry(0.9552) q[3];
ry(0.6197) q[4];
ry(0.6103) q[5];
ry(0.9642) q[6];
ry(0.9809) q[7];
ry(0.5867) q[8];
ry(0.9386) q[9];
ry(0.9638) q[10];
ry(0.9225) q[11];
ry(0.627) q[12];
crz(-0.1413) q[12], q[0];
crz(0.019... | OPENQASM 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": []} |
94ae9b5255899c7020c27bb014e7a10e | 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": [741, 709], "expectation_value": -84.7733663648648, "params": [0.7236, 0.0089, 2.4973, 0.0024000000000000002, 1.2825, 0.0014, 2.5002, 0.0002, 2.5073000000000003, 0.001, 1.4948000000000001, 0.0026000000000000003, 0.0015, 0.0011, -0.0027, 0.0089, 2.4977, 0.0028, 0.0021000000000000003, 0.0098, 2.5051, 0.0082, 0... | 8.0 * (Z(1) @ Z(0)) + 8.0 * (Z(3) @ Z(1)) + 8.0 * (Z(2) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(5) @ Z(1)) + 8.0 * (Z(5) @ Z(3)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(8) @ Z(0)) + 8.0 * (Z(7) @ Z(8)) + 8.0 * (Z(6) @ Z(10)) + 8.0 * (Z(9) @ Z(10)) + 0.5 * Z(0) + 15.0 * Z(1) + 18.0 * Z(3) + 5.0 * Z(2) + 8.5 * Z(4) + 10.0 * Z(... | 18 | 11 | 1 | {"smallest_eigenvalues": [-125.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -103.5, "smallest_bitstrings": ["10100111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.7236) q[0];
rz(0.0089) q[0];
rx(2.4973) q[1];
rz(0.0024) q[1];
rx(1.2825) q[2];
rz(0.0014) q[2];
rx(2.5002) q[3];
rz(0.0002) q[3];
rx(2.5073) q[4];
rz(0.001) q[4];
rx(1.4948) q[5];
rz(0.0026) q[5];
rx(0.0015) q[6];
rz(0.0011) q[6];
rx(-0.0027) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
eef64d2a5dbf018785bb2eafc31c3245 | 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": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 7}, {"capacity": 6, "source": 3, ... | {"states": [142, 15], "expectation_value": -12.540726501436982, "params": null, "bitstrings": ["01110001", "11110000"], "total_optimization_steps": 59, "probabilities": [0.15680630545508087, 0.7790726482613731], "optimization_time": 72.11939239501953} | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + 2.5 * (Z(7) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(4)) + -0.75 * (Z(6) @ Z(7)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(3) + 1.0 * Z(7) + -2.25 * Z(2) + -0.5 * Z(4) + 2.0 * Z(5) + 0.75 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[2];
cry(-1.5708) q[7], q[0];
ry(1.1031) q[7];
ry(-1.5708) q[1];
ry(-0.5365) q[0];
ry(-1.5708) q[3];
ry(1.5706) q[5];
cry(1.5705) q[5], q[6];
cry(0.2939) q[5], q[7];
cry(1.5707) q[5],... | 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[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
aa017fe03799a772a3aff0770f4d70b4 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 1, "source": 3, "target": 6}, {"capacity": 2, "source": 5, "target": 1}, {"capacity": 2, "source": 5, "target": 2... | {"states": [1, 9], "expectation_value": -2.7538598154628326, "params": [[[0.0017000000000000001, 0.4309], [0.0025, 0.5555], [0.0023, 0.6021000000000001], [0.7866000000000001, -0.0017000000000000001], [0.0022, 0.5928], [0.0028, 0.5821000000000001], [0.7943, 0.0018000000000000002]], [[0.0012000000000000001, 0.0094], [0.0... | -1.0 * (Z(0) @ Z(5)) + -1.0 * (Z(6) @ Z(5)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(4) @ Z(5)) + 1.5 * Z(5) + -0.25 * Z(0) + 0.0 * Z(6) + 0.25 * Z(3) + -0.5 * Z(1) + -0.5 * Z(2) + -0.5 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000100", "1000000", "1010100", "1010000", "1100100", "1100000", "1110110", "1110100", "1110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0017) q[0];
rz(0.4309) q[0];
rx(0.0025) q[1];
rz(0.5555) q[1];
rx(0.0023) q[2];
rz(0.6021) q[2];
rx(0.7866) q[3];
rz(-0.0017) q[3];
rx(0.0022) q[4];
rz(0.5928) q[4];
rx(0.0028) q[5];
rz(0.5821) q[5];
rx(0.7943) q[6];
rz(0.0018) q[6];
rx(0.0012) q[0];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
c11cd43c1b3d47ef5d545f6dc676afc9 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [145, 153], "expectation_value": -4.451223715989703, "params": [0.30110000000000003, -0.0002, 0.3085, -0.0004, -0.0111, 0.1711, -0.0143, 0.1701, -0.008400000000000001, 0.15410000000000001, -0.0028, 0.159, 0.3017, 0.0737, 0.3064, 0.007, 0.30360000000000004, 0.0002, 0.3, 0.0029000000000000002, 0.0868, 0.1358, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + -2.0 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["01100011", "01110100", "01100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3011) q[0];
rz(-0.0002) q[0];
rx(-0.0111) q[1];
rz(0.1711) q[1];
rx(-0.0084) q[2];
rz(0.1541) q[2];
rx(0.3017) q[3];
rz(0.0737) q[3];
rx(0.3036) q[4];
rz(0.0002) q[4];
rx(0.0868) q[5];
rz(0.1358) q[5];
rx(0.0651) q[6];
rz(0.132) q[6];
rx(0.3029) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
5623093536796954833 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[8, 2, 4, 7], [2, 3, 8, 9, 12], [1, 5, 7, 8, 9, 10, 11], [1, 2, 4, 9, 10, 11], [0, 1, 5, 7], [1, 3, 5, 7], [3, 10, 11, 12], [1, 2, 4, 8, 9, 10], [1, 2, 9, 10, 12], [1, 4, 5, 8, 10, 11, 12], [1, 6], [9, 5, 6, 7], [1, 2, 4, 5, 7, 10, 12], [0, 2, 3, 4, 8... | {"states": [7563, 7579], "expectation_value": -6.5599587522642615, "params": [1.5701, 1.5651000000000002, 1.5713000000000001, 1.5739, 1.5765, 1.5704, 0.17300000000000001, 0.1773, 1.6087, 1.5391000000000001, 1.5732000000000002, 1.5719, -0.0047, -0.0048000000000000004, 0.1975, 0.196, 0.8816, 0.8809, 1.5747, 1.57350000000... | 0.25 * (Z(8) @ Z(2)) + 0.29047619047619044 * (Z(4) @ Z(2)) + 0.2238095238095238 * (Z(4) @ Z(8)) + 0.24047619047619045 * (Z(7) @ Z(2)) + 0.2238095238095238 * (Z(7) @ Z(8)) + 0.15714285714285714 * (Z(7) @ Z(4)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(8)) + 0.14047619047619048 * (Z(3) @ Z(4)) + 0.19999999... | 13 | 13 | 1 | {"smallest_eigenvalues": [-6.897619047619047], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.654761904761904, "smallest_bitstrings": ["0001001100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5701) q[0];
ry(1.5713) q[1];
ry(1.5765) q[2];
ry(0.173) q[3];
ry(1.6087) q[4];
ry(1.5732) q[5];
ry(-0.0047) q[6];
ry(0.1975) q[7];
ry(0.8816) q[8];
ry(1.5747) q[9];
ry(0.2403) q[10];
ry(1.5679) q[11];
ry(1.58) q[12];
crz(0.003) q[12], q[0];
crz(0.0024) ... | OPENQASM 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": []} |
a710d93d80e8c82fd280d9647185393d | 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": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 3}, {"sour... | {"states": [272, 274], "expectation_value": -5.925757559776423, "params": [[0.399, 0.314, 0.1922, -0.006200000000000001, 0.40180000000000005, 0.12430000000000001, 0.00030000000000000003, 0.3965, -0.0012000000000000001], [0.40690000000000004, 0.2637, 0.2223, -0.0005, 0.40090000000000003, 0.1131, 0.00030000000000000003, ... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(8)) + 0.5 * (Z(2) ... | 10 | 9 | 3 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5, -7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -6.5, "smallest_bitstrings": ["101111100", "100111110", "110101011", "011100111", "010101111", "011101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.399) q[0];
ry(0.314) q[1];
ry(0.1922) q[2];
ry(-0.0062) q[3];
ry(0.4018) q[4];
ry(0.1243) q[5];
ry(0.0003) q[6];
ry(0.3965) q[7];
ry(-0.0012) q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz... | OPENQASM 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": []} |
d5ba60497bf54de061e291b1c3ba948c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [1877, 1909], "expectation_value": -3.09052825391477, "params": [[[0.005200000000000001, -0.37560000000000004, 0.007500000000000001, 0.0059], [0.5741, -0.0068000000000000005, 0.5710000000000001, 0.0061], [-0.22310000000000002, 0.0001, 0.0047, -0.0024000000000000002], [0.6389, -0.0019, 0.642, 0.00650000000000... | 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)) + 0.125 * (Z... | 12 | 12 | 4 | {"smallest_eigenvalues": [-3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375, -3.9375], "number_of_smallest_eigenvalues": 22, "first_excited_energy": -2.9375, "smallest_bitstrings": [... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0052) q[0];
rz(-0.3756) q[0];
ry(0.5741) q[1];
rz(-0.0068) q[1];
ry(-0.2231) q[2];
rz(0.0001) q[2];
ry(0.6389) q[3];
rz(-0.0019) q[3];
ry(-0.0052) q[4];
rz(0.492) q[4];
ry(0.5315) q[5];
rz(-0.0031) q[5];
ry(-0.108) q[6];
rz(0.0092) q[6];
ry(0.6214) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
cf37919d6a949ddf46d1ba52baad11a7 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, ... | {"states": [4846, 5870], "expectation_value": -3.8588800904063336, "params": [1.4953, -0.31570000000000004, 0.37310000000000004, -0.6175, 0.8778, -0.43910000000000005, 1.495, 0.002, -0.002, -1.0159, 1.5044000000000002, 0.002, 1.5017, 0.0028, 1.4947000000000001, 0.0579, 0.5249, 0.5233, 1.5008000000000001, -0.00720000000... | 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 * (... | 18 | 13 | 2 | {"smallest_eigenvalues": [-4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375, -4.4375], "number_of_smallest_eigenvalues": 19, "first_excited_energy": -3.4375, "smallest_bitstrings": ["1000100001010", "001010001... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.4953) q[0];
rz(-0.3157) q[0];
rx(0.3731) q[1];
rz(-0.6175) q[1];
rx(0.8778) q[2];
rz(-0.4391) q[2];
rx(1.495) q[3];
rz(0.002) q[3];
rx(-0.002) q[4];
rz(-1.0159) q[4];
rx(1.5044) q[5];
rz(0.002) q[5];
rx(1.5017) q[6];
rz(0.0028) q[6];
rx(1.4947) 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": []} |
1d579e37a468bd880bcb1092848cc668 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [20479, 4095], "expectation_value": -44.462961872292446, "params": [0.36010000000000003, 0.1366, 0.3614, -0.1202, 0.0041, 0.40040000000000003, 0.0027, 0.4108, 0.5979, -0.0, 0.5958, 0.008400000000000001, 0.599, 0.0004, 0.6024, -0.0012000000000000001, 0.5935, -0.0007, 0.5924, -0.0014, 0.6019, 0.0028, 0.6015, -... | 0.5 * (Z(0) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(0)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(0)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.25 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(9)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(2) @ Z(8)) + -0.5 * (Z(2) @ Z(9)) + -0.5 * ... | 16 | 16 | 4 | {"smallest_eigenvalues": [-54.24999999999939], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.249999999998515, "smallest_bitstrings": ["1111000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.3601) q[0];
rz(0.1366) q[0];
rx(0.3614) q[1];
rz(-0.1202) q[1];
rx(0.0041) q[2];
rz(0.4004) q[2];
rx(0.0027) q[3];
rz(0.4108) q[3];
rx(0.5979) q[4];
rz(0) q[4];
rx(0.5958) q[5];
rz(0.0084) q[5];
rx(0.599) q[6];
rz(0.0004) q[6];
rx(0.6024) 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] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
ced6c703f6fc42ad993c62457521a8a6 | 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": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 0, ... | {"states": [9, 1], "expectation_value": -0.6965750416264517, "params": [[0.055, 0.027800000000000002, -0.0161, 0.0334], [-0.0687, -0.0438, -0.0125, -0.031400000000000004]], "bitstrings": ["11110110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.006670178982154695, 0.007136573462873509], "optimizatio... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(6) @ Z(0)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(6)) + -0.5 * (Z(4) @ Z(5)) + 2.0 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -0.75 * Z(1) + -0.25 * Z(0) + -0.25 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.75, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.055) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0825) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.055) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.055) q[5];
cx q[1], q[5];
cx q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
7e044d1f5497090d3f59b320abe95c67 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 7, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target":... | {"states": [1024, 1023], "expectation_value": -30.78972577472807, "params": [[[0.004200000000000001, -0.0048000000000000004], [-0.002, 0.002], [-0.0027, -0.0028], [0.024900000000000002, 0.0022], [0.0058000000000000005, 0.0022], [0.009600000000000001, 0.0022], [0.00030000000000000003, 0.0025], [0.0018000000000000002, -0... | -1.75 * (Z(0) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + -1.25 * (Z(7) @ Z(1)) + -1.75 * (Z(9) @ Z(6)) + -2.25 * (Z(9) @ Z(1)) + -2.5 * (Z(9) @ Z(7)) + -1.5 * (Z(2) @ Z(6)) + 2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(7)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) @ Z(7)) + -0.75 * (Z(3) @ Z(9)) + -0.75 * (Z(8) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -30.5, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0042) q[0];
ry(-0.002) q[1];
ry(-0.0027) q[2];
ry(0.0249) q[3];
ry(0.0058) q[4];
ry(0.0096) q[5];
ry(0.0003) q[6];
ry(0.0018) q[7];
ry(0.0052) q[8];
ry(0.0082) q[9];
ry(1.6524) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
f65df388240a6bafb6d8e4e3b37bcf6e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -3.989065530699692, "params": null, "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 31, "probabilities": [0.060236547583049714, 0.8645374070419694], "optimization_time": 32.592854738235474} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[5];
ry(-1.5681) q[6];
ry(1.4449) q[3];
cry(-1.0343) q[4], q[2];
cry(-1.0342) q[1], q[0];
ry(0.7003) q[1];
ry(0.7003) q[4];
ry(-0.4549) q[2];
cry(0.4963) q[3], q[4];
ry(-0.4549) q[0];
cry(0.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
55057e8d3155877e0616b2acd23154a9 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [346, 410], "expectation_value": -83.45980998420013, "params": [-0.0074, 0.4408, 0.7995, 0.1904, 0.8001, 0.053200000000000004, 0.7592, -0.2074, -0.0018000000000000002, 0.8671000000000001, 0.789, 0.006500000000000001, 0.8431000000000001, -0.0046, -0.0078000000000000005, 0.3256, 0.9401, 0.19060000000000002, 0.... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(2)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(5) @ Z(7)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(9) @ Z(8)) + 0.5 * Z(0) + 5.5 * Z(1) + 0.0 * Z(2) + 2.0 * Z(3) + 7.5 * Z(7) + 16.0 * Z(5) + 17.0 * Z(6) + -1.0 * Z(8) + -2.0 * Z(9) + -... | 16 | 10 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -86.0, "smallest_bitstrings": ["1001100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0074) q[0];
rz(0.4408) q[0];
rx(0.7995) q[1];
rz(0.1904) q[1];
rx(0.8001) q[2];
rz(0.0532) q[2];
rx(0.7592) q[3];
rz(-0.2074) q[3];
rx(-0.0018) q[4];
rz(0.8671) q[4];
rx(0.789) q[5];
rz(0.0065) q[5];
rx(0.8431) q[6];
rz(-0.0046) q[6];
rx(-0.0078) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
74d5ddcff247f576d2434a3de6e40143 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [19, 342], "expectation_value": -20.99948827895554, "params": [[-0.0023, -0.0023, 1.1792, 1.5685, 0.0023, -0.0046, 0.7957000000000001, 0.0023, 0.0026000000000000003], [0.0023, 0.3962, 0.0023, -0.0085, 1.5754000000000001, 0.0034000000000000002, -0.0023, 0.7876000000000001, 1.5682], [0.0029000000000000002, 0.0... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(6) @ Z(8)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(7) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(7) @ Z(6)) + 3.5 * Z(1) + 14.5 * Z(2) + 7.0 * Z(0) + 16.0 * Z(4) + 2.0 * Z(3) + -2.0 * Z(5)... | 9 | 9 | 4 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -80.5, "smallest_bitstrings": ["010101001"]} | 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];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.0023) q[0];
rx(-0.0023) q[1];
rx(1.1792) q[2];
rx(1.5685) q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
e6f5f7344f65c4a1f156bb9648ed863a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 4}, ... | {"states": [716, 726], "expectation_value": -0.9439945728994688, "params": [[[0.3895, 0.0005, 0.001, 0.0027], [0.3617, 0.0473, 0.3917, 0.1733], [0.1764, -0.1524, 0.1353, -0.2008], [0.034800000000000005, -0.2088, 0.392, -0.14120000000000002], [0.1246, 0.0524, -0.3216, -0.0843], [0.389, 0.1617, 0.39940000000000003, 0.002... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(5)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 11 | 10 | 4 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.875, "smallest_bitstrings": ["0101100001", "0100101001", "1000101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.3895) q[0];
rz(0.0005) q[0];
ry(0.3617) q[1];
rz(0.0473) q[1];
ry(0.1764) q[2];
rz(-0.1524) q[2];
ry(0.0348) q[3];
rz(-0.2088) q[3];
ry(0.1246) q[4];
rz(0.0524) q[4];
ry(0.389) q[5];
rz(0.1617) q[5];
ry(0.3503) q[6];
rz(0.2483) q[6];
ry(0.2003) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
c301ae9e74cfd773a57fdaabfc40d1fb | 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": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "ta... | {"states": [218, 154], "expectation_value": -5.248000927064703, "params": [1.2024000000000001, 0.0097, 0.7534000000000001, 0.23570000000000002, 0.0499, 0.3486, 1.197, -0.021400000000000002, 1.0036, -0.013900000000000001, 0.0782, 0.0037, 1.2039, 0.0012000000000000001, -0.0015, -0.48810000000000003, 1.1981000000000002, -... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -2.0 * Z(2) + 0.0 * Z(0) + -1.5 * Z(4) + -0.5 * Z(1) + -... | 4 | 8 | 2 | {"smallest_eigenvalues": [-6.0, -6.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.0, "smallest_bitstrings": ["00101101", "01100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2024) q[0];
rz(0.0097) q[0];
rx(0.7534) q[1];
rz(0.2357) q[1];
rx(0.0499) q[2];
rz(0.3486) q[2];
rx(1.197) q[3];
rz(-0.0214) q[3];
rx(1.0036) q[4];
rz(-0.0139) q[4];
rx(0.0782) q[5];
rz(0.0037) q[5];
rx(1.2039) q[6];
rz(0.0012) q[6];
rx(-0.0015) 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": []} |
5b39644584e842e3639fc8f18468a184 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 362], "expectation_value": -65.75422752384718, "params": [2.8939, 0.0046, 1.4901, 0.0058000000000000005, 2.9048000000000003, 0.0091, 2.9024, 0.0016, 0.0021000000000000003, 0.004, 2.8937, 0.004200000000000001, 0.4545, 0.0085, 2.8892, 0.009600000000000001, -0.0018000000000000002, 0.0036000000000000003, 0... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(3) @ Z(0)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(5) @ Z(1)) + 6.0 * (Z(6) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(0)) + 6.0 * (Z(7) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 18.0 * Z(0) + 10.5 * Z(1) + 15.0 * Z(2) + 13.5 * Z(3) + -2.0 * Z(4) + 6.0 * Z(... | 18 | 9 | 1 | {"smallest_eigenvalues": [-75.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(2.8939) q[0];
rz(0.0046) q[0];
rx(1.4901) q[1];
rz(0.0058) q[1];
rx(2.9048) q[2];
rz(0.0091) q[2];
rx(2.9024) q[3];
rz(0.0016) q[3];
rx(0.0021) q[4];
rz(0.004) q[4];
rx(2.8937) q[5];
rz(0.0042) q[5];
rx(0.4545) q[6];
rz(0.0085) q[6];
rx(2.8892) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_isomorphism | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}]} | {"states": [61051, 60795], "expectation_value": -19.77299446074027, "params": null, "bitstrings": ["0001000110000100", "0001001010000100"], "total_optimization_steps": 100, "probabilities": [0.04221512464039476, 0.7004298277408587], "optimization_time": 908.5579006671906} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(... | 1 | 16 | 3 | {"smallest_eigenvalues": [-20.49999999999988], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.499999999999847, "smallest_bitstrings": ["0001001010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
ry(1.5577) q[5];
ry(1.5577) q[0];
ry(1.5708) q[15];
ry(1.5708) q[9];
ry(1.5708) q[2];
cry(1.5681) q[2], q[14];
cry(1.5681) q... | null | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 0}]}} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[16] c;\nqubit[16] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nh q[12];\nh q[13];\nh q[14];\nh q[15];\nry(1.5577) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3... |
87c3ced1ef7832360d99a2d1828a4d93 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [1017, 1525], "expectation_value": -0.10923732592934489, "params": [[-0.0393, -0.041600000000000005, -0.012700000000000001], [0.0422, 0.0545, 0.030100000000000002]], "bitstrings": ["10000000110", "01000001010"], "total_optimization_steps": 10, "probabilities": [0.0006358861166326989, 0.0006358861166327], "op... | 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 | 11 | 3 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -2.6875, "smallest_bitstrings": ["00100100100", "10000000110", "00011000010", "01000100001", "01000001010"]} | 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(-0.0098) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0098) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0098) q[0];
cx q[3], q[0];
cx q[2], q[1];
rz(-0.0098... | OPENQASM 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": []} |
474afac3a31ba487f93ea7ccb82b3637 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 5, "source": 0, ... | {"states": [83, 85], "expectation_value": -16.172240777607765, "params": null, "bitstrings": ["10101100", "10101010"], "total_optimization_steps": 77, "probabilities": [0.05571345186147708, 0.7665055652737572], "optimization_time": 107.98779010772705} | -0.75 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.75 * (Z(7) @ Z(1)) + 2.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.0, "smallest_bitstrings": ["10101010"]} | 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(1.5577) q[1];
ry(0.7408) q[5];
cry(-0.0006) q[1], q[5];
cry(0.8301) q[7], q[5];
ry(1.5708) q[3];
ry(1.4645) q[7];
cry(-1.5353) q[3], q[5];
cry(2.0225) q[2], q[5];
cry(-1.5708) q[7], q[0];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5577) 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[... |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.081422210151297, "params": [1.4871, 0.006200000000000001, 0.0023, 0.003, 0.0024000000000000002, 0.0027, -0.0024000000000000002, 0.0081, -0.0024000000000000002, 0.0039000000000000003, -0.0023, 0.0034000000000000002, -0.0024000000000000002, 0.0037, 0.0022, 0.0014, 3.1438, 0... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 1 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.4871) q[0];
rz(0.0062) q[0];
rx(0.0023) q[1];
rz(0.003) q[1];
rx(0.0024) q[2];
rz(0.0027) q[2];
rx(-0.0024) q[3];
rz(0.0081) q[3];
rx(-0.0024) q[4];
rz(0.0039) q[4];
rx(-0.0023) q[5];
rz(0.0034) q[5];
rx(-0.0024) q[6];
rz(0.0037) q[6];
rx(0.0022) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
2595393ec6a8cf85d387fa4d443f68fe | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [33, 41], "expectation_value": -0.8779698092210971, "params": [1.0176, 0.0049, 1.6049, 0.005200000000000001, 1.0175, 0.0085, 1.6045, 0.0083, 0.0023, 0.0009000000000000001, 0.9957, 0.0021000000000000003, 1.6106, 0.0068000000000000005, 0.0018000000000000002, 0.0007, 0.0001, 0.0089, 0.0013000000000000002, 0.007... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(0) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(6) @ Z(1)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(6) @ Z(4)) + -0.125 * (... | 18 | 7 | 1 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010110", "0101110", "1010101", "1001110", "1001101", "0110101", "0110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0176) q[0];
rz(0.0049) q[0];
rx(1.6049) q[1];
rz(0.0052) q[1];
rx(1.0175) q[2];
rz(0.0085) q[2];
rx(1.6045) q[3];
rz(0.0083) q[3];
rx(0.0023) q[4];
rz(0.0009) q[4];
rx(0.9957) q[5];
rz(0.0021) q[5];
rx(1.6106) q[6];
rz(0.0068) q[6];
crz(0.0018) q[6], q[0]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
59deeb40f95ff303d5282237394ba182 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "ta... | {"states": [42, 170], "expectation_value": -3.9461610428276606, "params": [[[0.40280000000000005, 0.0007], [0.0008, 0.19790000000000002], [0.40030000000000004, -0.0002], [0.1784, 0.10640000000000001], [0.4005, -0.0022], [-0.0081, 0.1971], [0.4036, 0.003], [-0.0079, 0.21930000000000002]], [[0.397, 0.0007], [-0.000300000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(5) + -2.0 * Z(7) + ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["01010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4028) q[0];
rz(0.0007) q[0];
rx(0.0008) q[1];
rz(0.1979) q[1];
rx(0.4003) q[2];
rz(-0.0002) q[2];
rx(0.1784) q[3];
rz(0.1064) q[3];
rx(0.4005) q[4];
rz(-0.0022) q[4];
rx(-0.0081) q[5];
rz(0.1971) q[5];
rx(0.4036) q[6];
rz(0.003) q[6];
rx(-0.0079) 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": []} |
2463009926627072355 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 2, 5], [0, 3], [8, 1, 7], [0, 1, 4], [1, 2, 7], [8, 1, 4], [4, 5], [0, 4, 6], [2, 5, 6], [0, 1, 6], [1, 5], [8, 2, 7], [8, 4, 6], [3, 5], [8, 5], [2, 3], [8, 3], [0, 5, 6], [2, 4], [8, 0], [0, 2, 7]]} | {"states": [455, 453], "expectation_value": -3.033379841236604, "params": [1.0045, 0.0023, 0.9935, 0.0006000000000000001, 1.0051, -0.0027, 0.9993000000000001, 0.0035, 0.9946, 0.0039000000000000003, 0.9993000000000001, 0.008400000000000001, 0.9955, 0.003, 0.46890000000000004, 0.0015, 0.9895, -0.009600000000000001, 0.765... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0... | 6 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999998, "smallest_bitstrings": ["000111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.0045) q[0];
rz(0.0023) q[0];
rx(1.0051) q[1];
rz(-0.0027) q[1];
rx(0.9946) q[2];
rz(0.0039) q[2];
rx(0.9955) q[3];
rz(0.003) q[3];
rx(0.9895) q[4];
rz(-0.0096) q[4];
rx(0.9962) q[5];
rz(0.0038) q[5];
rx(0.9981) q[6];
rz(0.0073) q[6];
rx(0.9841) 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": []} |
93141c357d164fcf2a36ba666f8f01e3 | vertex_cover | 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}]} | {"states": [8, 3], "expectation_value": -0.09203898899943753, "params": [[-0.0439, -0.0161], [0.056900000000000006, 0.037200000000000004]], "bitstrings": ["0111", "1100"], "total_optimization_steps": 10, "probabilities": [0.06488273192038538, 0.06723044718707398], "optimization_time": 1.1296358108520508} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 4 | 2 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["1100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0439) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0439) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0439) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0439) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0439) q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0) q[2... | null | {"circuits": [], "gradients": []} |
9da08d96775018b4c7ccf36ef54d0b19 | 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": [207, 79], "expectation_value": -67.41435963886849, "params": [0.2912, 0.1358, 0.26780000000000004, 0.26940000000000003, 0.4899, 0.49470000000000003, -0.0047, 0.0008, 0.1965, 0.1867, 0.4847, 0.4884, 0.48350000000000004, 0.4839, 0.4756, 0.4832, 0.4922, 0.498, -0.0379, -0.0951, 0.2674, 0.2687, 0.48910000000000... | 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(6) @ Z(2)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(0) @ Z(8)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(8)) + 12.0 * Z(1) + 16.5 * Z(2) + 4.5 * Z(4) + 14.5 * Z(5) + 13.5 * Z(6) + 10.0 * Z(8) + -6.5 * Z(0) + 13.... | 14 | 9 | 3 | {"smallest_eigenvalues": [-80.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -78.5, "smallest_bitstrings": ["110110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.2912) q[0];
ry(0.2678) q[1];
ry(0.4899) q[2];
ry(-0.0047) q[3];
ry(0.1965) q[4];
ry(0.4847) q[5];
ry(0.4835) q[6];
ry(0.4756) q[7];
ry(0.4922) q[8];
crx(0.1643) q[8], q[0];
crx(-0.2346) q[7], q[8];
crx(0.1124) q[6], q[7];
crx(-0.0156) q[5], q[6];
crx(0.48... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input f... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
fdfbddd83ad5e4b88801b3192987124e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 4, "source": 1, "target": 2... | {"states": [1, 57], "expectation_value": -8.452899856368651, "params": null, "bitstrings": ["1111110", "1000110"], "total_optimization_steps": 52, "probabilities": [0.1796831586444573, 0.5310193734902531], "optimization_time": 50.84563851356506} | -0.75 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.0 * (Z(5) @ Z(0)) + 2.0 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * Z(4) + -0.25 * Z(0) + -0.75 * Z(5) + 1.0 * Z(6) + 0.75 *... | 1 | 7 | 2 | {"smallest_eigenvalues": [-9.75, -9.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.75, "smallest_bitstrings": ["1000110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.57) q[6], q[0];
ry(1.1302) q[6];
ry(-1.5697) q[5];
ry(-1.5708) q[4];
ry(-0.5955) q[0];
cry(0.3524) q[3], q[6];
cry(1.4449) q[2], q[1];
cry(1.497) q[2], q[3];
cry(0.9286) q[1], q[2];
cry(0.4231) q[1... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.57) q[6], q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];... |
2037c68aca19f83c01748f0e59e08f2f | 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}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "target": 5},... | {"states": [2032, 2044], "expectation_value": -10.029197396383545, "params": [0.35700000000000004, 0.0233, 0.3653, 0.2886, 0.2967, 0.40800000000000003, 0.3603, 0.2908, 0.3791, 0.0975, 0.3744, 0.5685, 0.3584, 0.5697, 0.3482, 0.36160000000000003, 0.3841, 0.11320000000000001, 0.3829, 0.38320000000000004, 0.360500000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(5) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + -2.0 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(4) + 0.5 * Z(8) + 0.5 * Z(5) + 0.5 * Z(6) + 0.5 * Z(7) + -... | 6 | 11 | 4 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["00000000000", "00000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.357) q[0];
rz(0.0233) q[0];
rx(0.2967) q[1];
rz(0.408) q[1];
rx(0.3791) q[2];
rz(0.0975) q[2];
rx(0.3584) q[3];
rz(0.5697) q[3];
rx(0.3841) q[4];
rz(0.1132) q[4];
rx(0.3605) q[5];
rz(0.2279) q[5];
rx(0.3529) q[6];
rz(0.1456) q[6];
rx(0.327) q[7];
rz(0.3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 8} | {"circuits": [], "gradients": []} |
605742faa50c2e92c07356e058fd303f | 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": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [1, 17], "expectation_value": -2.771293567625353, "params": [[[0.37920000000000004, -0.005], [0.7984, -0.021400000000000002], [0.0018000000000000002, -0.0253], [0.8039000000000001, -0.7931], [0.3821, 0.7959], [0.2296, -0.0281]], [[0.3891, 0.0004], [0.8066, 0.003], [-0.015600000000000001, -0.00340000000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(2) + -1.5 * Z(4) + -0.5 * Z(3) + -1.0 * Z(5) | 15 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["101011", "100111", "101110", "011011", "111001", "011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
ry(0.3792) q[0];
ry(0.7984) q[1];
ry(0.0018) q[2];
ry(0.8039) q[3];
ry(0.3821) q[4];
ry(0.2296) q[5];
cx q[5], q[0];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.005) q[0];
ry(-0.0214) q[1];
ry(-0.0253) q[2];
ry(-0.7931) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
857e65bd5af79cea0e3b06ea35e9b80e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 3, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 5... | {"states": [126, 63], "expectation_value": -2.5030535619761345, "params": [[-0.0736, -0.0805, -0.0804], [0.0752, 0.07730000000000001, 0.0755]], "bitstrings": ["0000001", "1000000"], "total_optimization_steps": 10, "probabilities": [0.021287669320133103, 0.024812841316610528], "optimization_time": 4.106443166732788} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + 1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * Z(2... | 1 | 7 | 3 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["1000000", "1100000"]} | 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(0.0368) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.1104) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.1104) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.1104) q[1];
cx q[2], q[1];
cx q[2], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
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