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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
7bb4e9311a4b1c79acbcb41daabf8d2d | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [119, 103], "expectation_value": -51.347586018457825, "params": [0.2233, 0.31520000000000004, 0.7851, -0.0021000000000000003, 0.7899, 0.112, 0.36610000000000004, 0.2394, 0.1872, -0.324, 0.7809, 0.0043, 0.7873, -0.0036000000000000003, 0.788, 0.12040000000000001, 0.2149, 0.3084, 0.7883, 0.0102, 0.7882, 0.1144,... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(6)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(7) @ Z(4)) + 12.0 * Z(1) + 4.5 * Z(0) + 8.5 * Z(2) + 10.0 * Z(3) + 15.5 * Z(6) + 3.5 * Z(4) + 13.0 * Z(5) + 6.0 *... | 18 | 8 | 4 | {"smallest_eigenvalues": [-59.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.0, "smallest_bitstrings": ["10011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2233) q[0];
rz(0.3152) q[0];
rx(0.7851) q[1];
rz(-0.0021) q[1];
rx(0.7899) q[2];
rz(0.112) q[2];
rx(0.3661) q[3];
rz(0.2394) q[3];
rx(0.1872) q[4];
rz(-0.324) q[4];
rx(0.7809) q[5];
rz(0.0043) q[5];
rx(0.7873) q[6];
rz(-0.0036) q[6];
rx(0.788) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9]}"} | {"circuits": [], "gradients": []} |
-2967511182053951740 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[3, 4, 5], [2, 4], [1, 4, 5, 6], [0, 1, 3], [0, 5], [2, 3, 5]]} | {"states": [46, 59], "expectation_value": -0.8886547429498658, "params": [[0.46740000000000004], [-0.3966]], "bitstrings": ["1010001", "1000100"], "total_optimization_steps": 50, "probabilities": [0.02617111663457606, 0.026786220272133683], "optimization_time": 1.7292428016662598} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.3333333333333333 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(5)) + 0.08333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.9166666666666665, -1.9166666666666665], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.8333333333333335, "smallest_bitstrings": ["1010001", "1000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(0.1558) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.2337) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(0.3116) q[5];
cx q[3], q[5];
cx q[4], q[2];
rz(0.4674) q[2];
cx q[4], q[2];
cx q[3], q[2];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[3];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
b870bf177a3da6a6ab4722ca2196f1d4 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [5759, 5247], "expectation_value": -2.933239229408788, "params": [1.5803, 1.5775000000000001, 0.0031000000000000003, 0.0031000000000000003, 1.1998, 1.1811, 0.6960000000000001, 0.6783, 0.1562, 0.1587, 0.22, 0.2197, 0.9763000000000001, 0.9772000000000001, 1.5846, 1.5810000000000002, 1.5873000000000002, 1.5846,... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(2) @ Z(3)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(6) @ Z(2)) + 0.0625 * (Z(2) @ Z(7)) + 0.0625 * (Z(2) @ Z(8)) + 0.0625 * (Z(5) @ Z(6)) + 0.0625 * (Z(5) @ Z(7)) + 0.0625 * (Z(5) @ Z(8)) + 0.0625 * (Z(6) @ Z(7)) ... | 13 | 13 | 1 | {"smallest_eigenvalues": [-3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.96875, -3.9... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.5803) q[0];
ry(0.0031) q[1];
ry(1.1998) q[2];
ry(0.696) q[3];
ry(0.1562) q[4];
ry(0.22) q[5];
ry(0.9763) q[6];
ry(1.5846) q[7];
ry(1.5873) q[8];
ry(1.3008) q[9];
ry(0.9779) q[10];
ry(1.5839) q[11];
ry(1.5785) q[12];
crz(0.0433) q[12], q[0];
crz(-0.0032)... | OPENQASM 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": []} |
fbbd8eb0c295edadedab0040e35f46b9 | 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": [378, 370], "expectation_value": -98.56131574061655, "params": [0.0023, 0.0017000000000000001, -0.0018000000000000002, 0.0053, 2.6005000000000003, 0.0014, 0.003, 0.0051, 2.5993, 0.0053, 2.5988, 0.0017000000000000001, 2.6069, 0.0059, 1.5570000000000002, 0.0059, 0.0029000000000000002, 0.0018000000000000002, 2.... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(7) @ Z(5)) + 7.5 * (Z(4) @ Z(6)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(4) @ Z(7)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(8) @ Z(9)) + 7.5 * (Z(10) @ Z(4)) + -6.5 * Z(3) + 9.0 * Z(2) + 23.0 * Z(6) + -4.5 * Z(1) + 14.5 * Z(5) + 10.5 * Z... | 18 | 11 | 1 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -112.5, "smallest_bitstrings": ["11010001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0023) q[0];
rz(0.0017) q[0];
rx(-0.0018) q[1];
rz(0.0053) q[1];
rx(2.6005) q[2];
rz(0.0014) q[2];
rx(0.003) q[3];
rz(0.0051) q[3];
rx(2.5993) q[4];
rz(0.0053) q[4];
rx(2.5988) q[5];
rz(0.0017) q[5];
rx(2.6069) q[6];
rz(0.0059) q[6];
rx(1.557) 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]}"} | {"circuits": [], "gradients": []} |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 142.337055683136} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(63.0918) q[1];
ry(37.6583) q[5];
ry(-0.8066) q[7];
ry(63.1203) q[2];
ry(11.4534) q[6];
cry(63.0215) q[2], q[5];
cry(30.0723) q[1], q[5];
ry(10.6781) q[4];
ry(3.4165) q[0];
cry(-5.2002) q[1], q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 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(63.0918) 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... |
12ada348b9c11023d80d21b40d9fce6b | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "so... | {"states": [13, 5], "expectation_value": -3.483201511982002, "params": null, "bitstrings": ["10010", "11010"], "total_optimization_steps": 26, "probabilities": [0.281083815520102, 0.42032312287331425], "optimization_time": 13.844328880310059} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + 1.0 * (Z(4) @ Z(0)) + -1.0 * (Z(2) @ Z(1)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.5 * Z(4) + 1.0 * Z(2) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.25, -4.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.25, "smallest_bitstrings": ["11110", "11010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(1.5681) q[2];
cry(1.5486) q[3], q[1];
cry(1.5486) q[1], q[4];
cry(-1.5486) q[4], q[0];
ry(0.1215) q[4];
cry(-0.2402) q[4], q[1];
cry(-0.2759) q[2], q[3];
ry(-0.2324) q[1];
cry(-0.3923) q[4], q[3];
cry(-0.4861) q[2], q... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] ... |
-8764964446550249972 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 6], [0, 8], [8, 1], [4, 5], [4, 7], [5, 6], [8, 2, 4], [0, 1], [3, 6], [1, 5], [8, 7], [3, 7], [1, 7]]} | {"states": [181, 149], "expectation_value": -3.976703274048921, "params": null, "bitstrings": ["101001010", "101101010"], "total_optimization_steps": 80, "probabilities": [0.1217385490848292, 0.7107119313574063], "optimization_time": 160.71055030822754} | 0.5 * (Z(2) @ Z(6)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.5 * (Z(0) @ Z(8)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(8)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332, -4.333333333333332], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["101101010", "101001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[7];
ry(0.971) q[8];
cry(-1.3758) q[8], q[0];
cry(-0.8029) q[4], q[7];
ry(1.1394) q[4];
cry(-1.4081) q[4], q[5];
cry(1.5605) q[4], q[1];
cry(-0.4693) q[1], q[7];
cry(1.... | 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];\ncry(-1.0342) q[8], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
406770799011758457 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 3, 7], [1, 2, 3, 5, 6], [0, 2, 3, 5, 6], [3, 4], [0, 1, 3, 6, 7], [1, 2, 5, 7], [0, 1, 5], [0, 4], [0, 3, 5, 6, 7], [2, 3, 5, 7], [4, 5]]} | {"states": [149, 181], "expectation_value": -3.056178280344817, "params": null, "bitstrings": ["01101010", "01001010"], "total_optimization_steps": 40, "probabilities": [0.20412224414107716, 0.6642762031901864], "optimization_time": 57.4529013633728} | 0.26666666666666666 * (Z(0) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(1)) + 0.1 * (Z(2) @ Z(0)) + 0.15000000000000002 * (Z(3) @ Z(1)) + 0.2 * (Z(3) @ Z(0)) + 0.23333333333333334 * (Z(3) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(1)) + 0.15000000000000002 * (Z(7) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.23333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.05, "smallest_bitstrings": ["01001010"]} | 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(1.5423) q[5];
cry(-1.4448) q[5], q[4];
ry(1.5634) q[3];
ry(1.5037) q[0];
cry(-0.1261) q[3], q[4];
cry(-0.7107) q[7], q[1];
cry(-0.4984) q[2], q[1];
cry(-0.3176) q[2], q[6];
ry(0.3043) q[7];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5423) 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[... |
68c7da6fdb681219b05150137870d7db | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}]} | {"states": [5, 1], "expectation_value": -0.5571881732924415, "params": [[0.0753, 0.061500000000000006, 0.0675], [-0.0784, -0.0521, -0.0519]], "bitstrings": ["1010", "1110"], "total_optimization_steps": 10, "probabilities": [0.09263491315811066, 0.10377283461561904], "optimization_time": 1.2791407108306885} | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(0)) + 1.25 * (Z(3) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.25 * Z(3) | 1 | 4 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["1110"]} | 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(-0.0377) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.113) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.1883) q[3];
cx q[0], q[3];
rz(-0.0377) q[1];
rz(-0.0377) q[0];
rz(-0.113) q[2];
rz(0.1883) q[3];
h q[0];
rz(-0.15... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
e0dccd63ccb6f94570f2b46361c692e0 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [33, 161], "expectation_value": -4.555431190864384, "params": [[[-0.0024000000000000002, 2.0995], [0.8449000000000001, 0.0015], [-0.0027, 1.8772], [1.5664, 0.0033], [0.0043, 2.1063], [-0.0028, 1.8617000000000001], [-0.003, 1.9824000000000002], [0.0044, 2.0273], [1.5712000000000002, -0.0021000000000000003]], ... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.25 * (Z(7) @ Z(3)) + 0.75 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(3)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.75 * Z(... | 1 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["101011010", "101011100", "101011110", "101001110", "101001000", "101001100", "101001010", "101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0024) q[0];
rz(2.0995) q[0];
rx(0.8449) q[1];
rz(0.0015) q[1];
rx(-0.0027) q[2];
rz(1.8772) q[2];
rx(1.5664) q[3];
rz(0.0033) q[3];
rx(0.0043) q[4];
rz(2.1063) q[4];
rx(-0.0028) q[5];
rz(1.8617) q[5];
rx(-0.003) q[6];
rz(1.9824) q[6];
rx(0.0044) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e7f52f1e4ef4212454d9db0ad93f1bd0 | 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": 1, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5}, {"capacity": 3, "s... | {"states": [256, 255], "expectation_value": -0.09791492772145403, "params": [[-0.0374], [0.044000000000000004]], "bitstrings": ["011111111", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002116769335981805, 0.0021293797108739377], "optimization_time": 2.138495445251465} | -0.25 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * (Z(7) @ Z(8)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * Z(3) + -0.25 * Z(0) + 1.0 * Z(1) + 0.25 * Z(5) + -1.5 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-7.0, -7.0, -7.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.0, "smallest_bitstrings": ["100000000", "101000100", "100000100"]} | 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[3], q[0];
rz(0.0187) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.0374) q[1];
cx q[3], q[1];
cx q[1], q[5];
rz(0.0748) q[5];
cx q[1], q[5];
cx q[6], q[2];
rz(0.0561) q[2];
cx q[6], 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];... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
78352b36d64b35d780c91f540c949806 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 8}, {"source": ... | {"states": [0, 832], "expectation_value": -32.4942005433374, "params": [0.35750000000000004, 0.0053, 0.3714, -0.09230000000000001, -0.44210000000000005, 0.40750000000000003, -0.4353, 0.7067, 0.013000000000000001, 0.7911, -0.0146, 0.8546, -0.4399, 0.2126, -0.42700000000000005, 0.3773, 0.0091, 0.5373, 0.0044, 0.7761, -0.... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 2.0 * (Z(5) @ Z(8)) + 1.0 * (Z(2) @ Z(8)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(4) @ Z(8)) + -3.5 * (Z(4) @ Z(5)) + -3.5 * (Z(6) @ Z(8)) + -3.5 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(4)) + -4.0 * (Z(7) @ Z(8)) + -4.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(2)) + 1.... | 6 | 10 | 3 | {"smallest_eigenvalues": [-33.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.5, "smallest_bitstrings": ["0010111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3575) q[0];
rz(0.0053) q[0];
rx(-0.4421) q[1];
rz(0.4075) q[1];
rx(0.013) q[2];
rz(0.7911) q[2];
rx(-0.4399) q[3];
rz(0.2126) q[3];
rx(0.0091) q[4];
rz(0.5373) q[4];
rx(-0.0014) q[5];
rz(0.5118) q[5];
rx(-0.0022) q[6];
rz(0.7456) q[6];
rx(-0.0048) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"node": 3} | {"circuits": [], "gradients": []} |
059c5ce404f757d6274744c6602ec1e9 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 4, "source": 2, "target": 1}, {"capaci... | {"states": [7194, 3098], "expectation_value": -18.617768254428604, "params": [-0.0026000000000000003, 0.36960000000000004, 0.009300000000000001, 0.40230000000000005, 0.24130000000000001, -0.1419, 0.18330000000000002, -0.095, -0.6123000000000001, -0.2422, -0.5952000000000001, -0.2847, -0.6252, 0.2233, -0.402400000000000... | 0.5 * (Z(7) @ Z(10)) + 1.0 * (Z(11) @ Z(10)) + 0.5 * (Z(11) @ Z(7)) + 1.0 * (Z(8) @ Z(10)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(11)) + 0.5 * (Z(9) @ Z(10)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(11)) + 2.0 * (Z(9) @ Z(8)) + -0.5 * (Z(3) @ Z(10)) + -1.0 * (Z(3) @ Z(7)) + -0.5 * (Z(3) @ Z(11)) + -2.0 * (Z(3) @ Z(8)) ... | 7 | 15 | 4 | {"smallest_eigenvalues": [-19.124999999999844], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.12499999999984, "smallest_bitstrings": ["111001111100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(-0.0026) q[0];
rz(0.3696) q[0];
rx(0.2413) q[1];
rz(-0.1419) q[1];
rx(-0.6123) q[2];
rz(-0.2422) q[2];
rx(-0.6252) q[3];
rz(0.2233) q[3];
rx(0.3734) q[4];
rz(-0.0065) q[4];
rx(-0.0084) q[5];
rz(-0.4183) q[5];
rx(0.0339) q[6];
rz(0.6059) q[6];
rx(-0.0111) ... | 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": 5} | {"circuits": [], "gradients": []} |
f1937be5027701b85b9b19d19758f85d | 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": 1, "target": 6}, {"source": 1, "target": 4}, {"source": 2, "target":... | {"states": [567, 535], "expectation_value": -1.9613740777231183, "params": [0.8037000000000001, 0.8071, 0.0902, 0.0898, 0.7735000000000001, 0.7774000000000001, 0.2848, 0.2862, 0.7866000000000001, 0.7795000000000001, 0.7976000000000001, 0.797, 0.08650000000000001, 0.091, 0.801, 0.8071, 0.8083, 0.8101, 0.7916000000000001... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(8) @ Z(6)) + -1.0 * Z(1) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(6) + -0.5 * Z(4) + -0.5 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(9) +... | 13 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.5, "smallest_bitstrings": ["1011101000", "1010101100", "0111000011", "0111100010", "0111101000", "0101111000", "1001111000", "1000111100", "0111001001", "0101011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.8037) q[0];
ry(0.0902) q[1];
ry(0.7735) q[2];
ry(0.2848) q[3];
ry(0.7866) q[4];
ry(0.7976) q[5];
ry(0.0865) q[6];
ry(0.801) q[7];
ry(0.8083) q[8];
ry(0.7916) q[9];
crz(-0.0025) q[9], q[0];
crz(0.0026) q[8], q[9];
crz(-0.0039) q[7], q[8];
crz(-0.3051) 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": []} |
d1d870c1bd07079f597365ff55b714d8 | 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": [2314, 2315], "expectation_value": -119.90990472155431, "params": [[0.7343000000000001, 0.0114, 0.0579, 0.8697, -0.2033, -0.003, -0.0049, -0.0794, 0.6335000000000001, -0.0007, 0.7945, -0.1188], [0.7793, -0.0167, 0.060700000000000004, 0.8439000000000001, 0.1636, -0.0026000000000000003, -0.004, -0.0666, 0.6363... | 8.5 * (Z(0) @ Z(1)) + 8.5 * (Z(3) @ Z(2)) + 8.5 * (Z(4) @ Z(3)) + 8.5 * (Z(7) @ Z(8)) + 8.5 * (Z(9) @ Z(0)) + 8.5 * (Z(9) @ Z(8)) + 8.5 * (Z(10) @ Z(0)) + 8.5 * (Z(10) @ Z(9)) + 8.5 * (Z(11) @ Z(2)) + -5.5 * Z(1) + 16.0 * Z(0) + 3.0 * Z(2) + 5.5 * Z(3) + -4.0 * Z(4) + 8.0 * Z(8) + -3.5 * Z(7) + 11.0 * Z(9) + 7.5 * Z(10... | 10 | 12 | 4 | {"smallest_eigenvalues": [-130.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.0, "smallest_bitstrings": ["011011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.7343) q[0];
ry(0.0114) q[1];
ry(0.0579) q[2];
ry(0.8697) q[3];
ry(-0.2033) q[4];
ry(-0.003) q[5];
ry(-0.0049) q[6];
ry(-0.0794) q[7];
ry(0.6335) q[8];
ry(-0.0007) q[9];
ry(0.7945) q[10];
ry(-0.1188) q[11];
cz q[11], q[10];
cz q[10], q[9];
cz q[9], q[8];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7, 8], \"right_nodes\": [9, 10, 11, 12, 13, 14, 15]}"} | {"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": -0.05101194050207664, "params": [[0.0285, -0.032], [-0.0403, 0.0085]], "bitstrings": ["10100000", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004082244383539267, 0.0040916850392345725], "optimization_time": 2.768493413925171} | 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 | 2 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000010", "10000000", "10100010", "10100000"]} | 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(0.0143) q[0];
cx q[7], q[0];
cx q[7], q[1];
rz(-0.0285) q[1];
cx q[7], q[1];
cx q[1], q[3];
rz(-0.0428) q[3];
cx q[1], q[3];
cx q[7], q[5];
rz(-0.0143) q[5];
cx q[7], q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
435fae812ed2d756ade2d902fc34abb8 | 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": [363, 362], "expectation_value": -57.853252704187554, "params": [0.0043, 0.5001, 0.7996000000000001, 0.0016, 0.0021000000000000003, 0.48000000000000004, 0.7946000000000001, -0.0109, 0.8045, 0.26980000000000004, 0.42100000000000004, 0.4232, 0.8072, 0.21910000000000002, 0.335, 0.3935, 0.8039000000000001, 0.140... | 6.0 * (Z(1) @ Z(0)) + 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(4) @ Z(5)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(9) @ Z(1)) + 6.0 * (Z(9) @ Z(3)) + 6.0 * (Z(8) @ Z(7)) + 6.0 * (Z(8) @ Z(9)) + -4.5 * Z(0) + 15.0 * Z(1) + 12.0 * Z(3) + -3.5 * Z(2) + 2.0 * Z(5) + 1.5 * Z(4) + 8.5 * Z(6) + 0.5 *... | 18 | 10 | 3 | {"smallest_eigenvalues": [-92.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.5, "smallest_bitstrings": ["1010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0043) q[0];
rz(0.5001) q[0];
rx(0.7996) q[1];
rz(0.0016) q[1];
rx(0.0021) q[2];
rz(0.48) q[2];
rx(0.7946) q[3];
rz(-0.0109) q[3];
rx(0.8045) q[4];
rz(0.2698) q[4];
rx(0.421) q[5];
rz(0.4232) q[5];
rx(0.8072) q[6];
rz(0.2191) q[6];
rx(0.335) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
aff16494716409c93ae0c6b924acb428 | 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": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 7, "source": 1, "target": 2... | {"states": [0, 1], "expectation_value": -11.469356896081601, "params": [[[0.0032, 0.0097], [0.0023, 0.0009000000000000001], [0.0023, 0.0049], [0.0024000000000000002, 0.0098], [0.0023, 0.0054], [0.0026000000000000003, 0.0074], [1.6074000000000002, 0.0068000000000000005]]], "bitstrings": ["1111111", "1111110"], "total_op... | -1.5 * (Z(0) @ Z(3)) + -1.25 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(3)) + -1.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + -2.25 * Z(3) + -0.25 * Z(0) + 0.75 * Z(5) + 3.0 * Z(6) + 1.25 * Z(1) + -2.5 * Z(2) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-17.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0032) q[0];
rz(0.0097) q[0];
rx(0.0023) q[1];
rz(0.0009) q[1];
rx(0.0023) q[2];
rz(0.0049) q[2];
rx(0.0024) q[3];
rz(0.0098) q[3];
rx(0.0023) q[4];
rz(0.0054) q[4];
rx(0.0026) q[5];
rz(0.0074) q[5];
rx(1.6074) q[6];
rz(0.0068) q[6];
c[0] = measure q[0];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
rx(x0) q[0];
rz(x1... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
71e5bb03712e194188f8d50f4c05cdf8 | 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": 6}, {"source": 1, "target": 6}, {"source": 1, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "target": 5}]} | {"states": [108, 60], "expectation_value": -3.499151798817949, "params": null, "bitstrings": ["0010011", "1000011"], "total_optimization_steps": 29, "probabilities": [0.06620831211809416, 0.9331798105249665], "optimization_time": 25.531850576400757} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(5)) + 0.0 * Z(2) + -0.5 * Z(0) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(5) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1000011", "0010011", "1100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[5];
ry(-1.4449) q[6];
ry(1.4449) q[4];
ry(1.4449) q[3];
ry(1.4417) q[1];
cry(-1.0398) q[2], q[0];
ry(0.7022) q[2];
ry(-0.4578) q[0];
cry(0.497) q[4], q[2];
cry(-0.3761) q[4], q[0];
cry(0.247... | 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(-1.5681) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
fd079aad48631945983209d97a727c90 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"s... | {"states": [0, 4095], "expectation_value": -6.678389259562956, "params": [0.0784, 0.5827, -0.4315, 0.0058000000000000005, -0.38680000000000003, 0.2879, 0.1731, 0.0016, 0.5412, 0.218, -0.401, 0.004200000000000001, -0.5399, 0.33480000000000004, 0.40090000000000003, 0.009600000000000001, -0.6419, 0.1641, -0.2381, 0.0019, ... | -1.5 * (Z(1) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(4) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(8)) + -1.0 * (Z(11) @ Z(12)) + 0.5 * Z(3) + 0.5 * Z(1) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.5 * Z... | 6 | 13 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["1000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(0.0784) q[0];
rz(0.5827) q[0];
rx(-0.3868) q[1];
rz(0.2879) q[1];
rx(0.5412) q[2];
rz(0.218) q[2];
rx(-0.5399) q[3];
rz(0.3348) q[3];
rx(-0.6419) q[4];
rz(0.1641) q[4];
rx(-0.6658) q[5];
rz(0.2446) q[5];
rx(0.6798) q[6];
rz(0.5301) q[6];
rx(0.6882) 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[... | {"node": 1} | {"circuits": [], "gradients": []} |
4973527a678849b98f57c7e36651dc7d | 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": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, ... | {"states": [570, 574], "expectation_value": -2.295779424582614, "params": [0.3035, -0.0009000000000000001, 0.3028, -0.004, 0.1268, -0.0308, 0.12040000000000001, -0.0298, 0.2343, 0.0947, 0.168, 0.0971, 0.2652, 0.09580000000000001, 0.18910000000000002, 0.0983, 0.2997, -0.0049, 0.30010000000000003, -0.009000000000000001, ... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(2) @ Z(6)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(2) ... | 6 | 10 | 3 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.625, "smallest_bitstrings": ["1101000001", "0101001001", "0101010001", "0110010001", "0111000001", "0100110001", "0110000101", "1000100101",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3035) q[0];
rz(-0.0009) q[0];
rx(0.1268) q[1];
rz(-0.0308) q[1];
rx(0.2343) q[2];
rz(0.0947) q[2];
rx(0.2652) q[3];
rz(0.0958) q[3];
rx(0.2997) q[4];
rz(-0.0049) q[4];
rx(0.3047) q[5];
rz(0.0257) q[5];
rx(0.3046) q[6];
rz(-0.01) q[6];
rx(0.2963) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
0f435eed505f807fb8dc44643dfd43ce | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 3, "target"... | {"states": [57, 45], "expectation_value": -2.3679277592957098, "params": null, "bitstrings": ["1000110", "1010010"], "total_optimization_steps": 32, "probabilities": [0.09217217652916268, 0.8898723634495206], "optimization_time": 46.739049673080444} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-2.375, -2.375, -2.375, -2.375, -2.375, -2.375], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.375, "smallest_bitstrings": ["1010010", "0100110", "0011010", "1000011", "0010110", "1000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5158) q[5];
ry(1.0337) q[6];
cry(-1.2414) q[4], q[2];
ry(1.2903) q[1];
ry(1.0323) q[3];
cry(-1.0058) q[3], q[0];
cry(0.5004) q[1], q[6];
ry(0.6414) q[4];
ry(-0.4922) q[0];
cry(0.4291) q[6], q[3];
cr... | 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(-1.5158) 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", ... |
-1093134671775269203 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [0, 5], [2, 5], [2, 4], [3, 5], [2, 3], [0, 1], [3, 4], [0, 2], [1, 4]]} | {"states": [21, 25], "expectation_value": -2.667966598849532, "params": null, "bitstrings": ["101010", "100110"], "total_optimization_steps": 40, "probabilities": [0.058553157100736664, 0.8369645372094896], "optimization_time": 32.58447813987732} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "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];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[5], q[0];
ry(1.0293) q[5];
cry(1.4052) q[5], q[1];
cry(-0.9035) q[1], q[0];
cry(-0.7688) q[5], q[3];
ry(1.2774) q[2];
cry(-1.4253) q[1], q[4];
cry(0.2066) q[1], q[2];
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[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude ... |
b305367bc2e2ddaa066fe8b84210618a | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 0, "target": 2}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [117, 110], "expectation_value": -31.749033619990612, "params": [[-0.0302, -0.014100000000000001, 0.0041, 0.014], [0.059300000000000005, 0.0707, 0.06720000000000001, 0.058800000000000005]], "bitstrings": ["10001010", "10010001"], "total_optimization_steps": 10, "probabilities": [0.018643701303536115, 0.02300... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 19.5 * Z(1) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -62.0, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2416) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2416) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2416) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2416) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
655689708e73cb2de5fff319b9c5049e | 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": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [50, 58], "expectation_value": -2.837534141699318, "params": [0.0884, 0.1048, 0.0944, 0.1041, 0.0709, 0.1439, 0.062400000000000004, 0.139, 0.3049, 0.0031000000000000003, 0.2968, 0.007200000000000001, 0.305, -0.0023, 0.30720000000000003, -0.0027, 0.29300000000000004, -0.002, 0.2988, 0.0002, -0.000900000000000... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(2) + -0.5 * Z(0) + 0.0 * Z(6) + -0.5 * Z(4) + -1.0 * Z(1) + -1.5 * Z(5) + -1.0 * Z(7) + 0.0 * Z(3) | 7 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000101", "11001100", "10001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0884) q[0];
rz(0.1048) q[0];
rx(0.0709) q[1];
rz(0.1439) q[1];
rx(0.3049) q[2];
rz(0.0031) q[2];
rx(0.305) q[3];
rz(-0.0023) q[3];
rx(0.293) q[4];
rz(-0.002) q[4];
rx(-0.0009) q[5];
rz(-0.139) q[5];
rx(0.2984) q[6];
rz(0.0005) q[6];
rx(0.0674) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | null | {"circuits": [], "gradients": []} |
8f4da54127eaef3ad4283690d95e9ab5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [63, 31], "expectation_value": -1.6238764351834956, "params": [[0.0811], [-0.0847]], "bitstrings": ["000000", "100000"], "total_optimization_steps": 10, "probabilities": [0.024551208010268295, 0.025231258675609235], "optimization_time": 1.5409374237060547} | -2.5 * (Z(1) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(2)) + -2.5 * (Z(5) @ Z(1)) + 1.0 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(5) + -0.5 * Z(0) | 5 | 6 | 1 | {"smallest_eigenvalues": [-14.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(-0.4055) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.3244) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.4055) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0811) q[4];
cx q[2], q[4];
cx q[1], q[4];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3];
cx q[1... | {"node": 1} | {"circuits": [], "gradients": []} |
bd840c67c60de5e8a0e6837e43896a66 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [119, 127], "expectation_value": -6.663532538423466, "params": null, "bitstrings": ["10001000", "10000000"], "total_optimization_steps": 78, "probabilities": [0.1829048044125119, 0.5236471156154194], "optimization_time": 96.22803664207458} | -1.0 * (Z(0) @ Z(3)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(7) @ Z(3)) + 1.75 * (Z(7) @ Z(0)) + -1.5 * (Z(7) @ Z(6)) + -0.75 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(2)) + -1.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(6)) + -1.75 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + 1.0 * Z(3) + -0.25 * Z(0) + -1.25 * Z(6) + -0.75 * Z(7) + 0.25 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[4];
cry(1.5708) q[4], q[3];
cry(1.5626) q[7], q[6];
cry(1.2309) q[6], q[7];
cry(1.5486) q[3], q[5];
cry(1.5486) q[6], q[2];
cry(1.5626) q[5], q[1];
cry(-1.3016) q[7], q[0];
cry(0.7966... | 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[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
2b8dca7c94388a8984b1472327af39be | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 5}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [6, 7], "expectation_value": -13.425163022945913, "params": [[[0.2746, -0.17950000000000002], [0.2676, 0.1802], [0.19690000000000002, -0.1968], [0.27080000000000004, 0.1802], [0.2738, 0.17950000000000002], [0.5874, 0.0022], [0.5873, 0.0019], [0.5876, 0.0007]], [[0.2792, -0.1794], [0.2667, 0.18030000000000002... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 3.0 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + 3... | 1 | 8 | 3 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2746) q[0];
rz(-0.1795) q[0];
rx(0.2676) q[1];
rz(0.1802) q[1];
rx(0.1969) q[2];
rz(-0.1968) q[2];
rx(0.2708) q[3];
rz(0.1802) q[3];
rx(0.2738) q[4];
rz(0.1795) q[4];
rx(0.5874) q[5];
rz(0.0022) q[5];
rx(0.5873) q[6];
rz(0.0019) q[6];
rx(0.5876) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
28550855a20366800e3fd917bf6489e0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [1, 127], "expectation_value": -0.1424750433352434, "params": [[0.0712], [-0.0558]], "bitstrings": ["11111110", "10000000"], "total_optimization_steps": 10, "probabilities": [0.004539662347824602, 0.0045455442388954315], "optimization_time": 2.3084285259246826} | -0.25 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -0.25 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -4.25, "smallest_bitstrings": ["10000000", "11111110", "11100110", "11101110"]} | 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(-0.0356) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0356) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0712) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(-0.0356) q[5];
cx q[2], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [14, 7], "expectation_value": -12.66339047984346, "params": null, "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10630209494910714, 0.6109519875068035], "optimization_time": 81.12271118164062} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[0];
cry(-1.5708) q[5], q[1];
ry(0.7803) q[5];
cry(-1.5708) q[6], q[3];
ry(0.8783) q[6];
cry(-1.5708) q[4], q[2];
ry(0.9091) q[4];
ry(-0.4292) q[2];
ry(-0.3823) q[3];
ry(-0.3041) q[1];
cry(0.... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) 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", ... |
1b85dbadf49d5e00f9e47be861e776c4 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [42, 14], "expectation_value": -5.496464013564576, "params": null, "bitstrings": ["1010101", "1110001"], "total_optimization_steps": 25, "probabilities": [0.0663487357359079, 0.9303658527537751], "optimization_time": 20.25125813484192} | 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(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + -1.5 * Z(1) + -2.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["1010101", "1110001"]} | 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[2];
ry(-1.5681) q[6];
ry(1.4449) q[5];
ry(1.4449) q[3];
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", ... |
e4c65d82be0d39aa5a43dd21b25413c9 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [52, 22], "expectation_value": -3.9964641631107405, "params": null, "bitstrings": ["001011", "101001"], "total_optimization_steps": 25, "probabilities": [0.06634837994155196, 0.9303663571669202], "optimization_time": 19.97792625427246} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(5) + -0.5 * Z(1) + -0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001011", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[5];
ry(1.4449) q[3];
ry(1.4449) q[1];
cry(-1.0343) 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[1], 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(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | qaoa | {"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": [140, 12], "expectation_value": -2.0047824770693268, "params": [[0.0616], [-0.06330000000000001]], "bitstrings": ["111101110011", "111111110011"], "total_optimization_steps": 10, "probabilities": [0.00031963427136750633, 0.0003224749710323119], "optimization_time": 9.766499280929565} | 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... | 1 | 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;
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[8], q[0];
rz(0.0616) q[0];
cx q[8], q[0];
cx q[8], q[9];
rz(0.1232) q[9];
cx q[8], q[9];
cx q[0], q[9];
rz(0.0616) q[9];
cx q[0], q[9];
cx q[8], q[1];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
d5c9e2c60adcce2a7bd44a74474e515b | 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": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [169, 185], "expectation_value": -1.6975295787154077, "params": [-0.006900000000000001, 0.0006000000000000001, 0.4006, 0.4036, -0.0066, 0.0001, 0.4038, 0.39990000000000003, 0.30510000000000004, 0.2975, 0.3987, 0.397, 0.08030000000000001, 0.0745, 0.19340000000000002, 0.1922, 0.38020000000000004, 0.37870000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(7) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(1)) + 0.125 * (Z(7) @ Z(1)) + 0.125 ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -2.125, "smallest_bitstrings": ["011100100", "011000110", "100101100", "100110001", "100100110", "011010001", "100100101", "101000110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0069) q[0];
ry(0.4006) q[1];
ry(-0.0066) q[2];
ry(0.4038) q[3];
ry(0.3051) q[4];
ry(0.3987) q[5];
ry(0.0803) q[6];
ry(0.1934) q[7];
ry(0.3802) q[8];
crz(-0.1231) q[8], q[0];
crz(-0.1415) q[7], q[8];
crz(-0.0367) q[6], q[7];
crz(-0.0784) q[5], q[6];
crz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input ... | null | {"circuits": [], "gradients": []} |
d2be47e29eae50ce45c4510347a77d7f | 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": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 5, "s... | {"states": [510, 255], "expectation_value": -1.2230619694432907, "params": [[-0.0434], [0.054200000000000005]], "bitstrings": ["000000001", "100000000"], "total_optimization_steps": 10, "probabilities": [0.00286193527478019, 0.002895625491032748], "optimization_time": 3.020850419998169} | -1.5 * (Z(0) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -3.0 * (Z(2) @ Z(3)) + -1.5 * (Z(5) @ Z(1)) + -1.75 * (Z(5) @ Z(3)) + -0.25 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-24.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -23.25, "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(0.1302) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.1085) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0868) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.0217) q[2];
cx q[1], 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]... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
be8cb749990925e9bac00c77ab1f0ada | 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": 5}, {"source": 0, "target": 8}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [316, 444], "expectation_value": -3.0947050835739103, "params": [0.077, 0.5515, 0.08410000000000001, 0.01, 0.9012, 0.3033, 0.9003, 0.0082, 0.8646, 0.0021000000000000003, 0.8663000000000001, 0.008, 0.0714, -0.4161, 0.0743, 0.0045000000000000005, 0.9048, 0.0026000000000000003, 0.9032, 0.0067, 0.909600000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(2) @ Z(9)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(5) + -1.5 * Z(8) + -0.5 * Z(9) + 0.0 * Z(2) + -1.0 * Z(3) + 0.0 * Z(6) + 0.0 * Z(7) + 0... | 7 | 10 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["1001100001", "1011000010", "1001000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.077) q[0];
rz(0.5515) q[0];
rx(0.9012) q[1];
rz(0.3033) q[1];
rx(0.8646) q[2];
rz(0.0021) q[2];
rx(0.0714) q[3];
rz(-0.4161) q[3];
rx(0.9048) q[4];
rz(0.0026) q[4];
rx(0.9096) q[5];
rz(0.0031) q[5];
rx(0.9078) q[6];
rz(-0.0028) q[6];
rx(0.9106) 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": []} |
e61b9b6cad8366f7e670366fe202a3e7 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 11, "source": 0, "target": 3}, {"weight": 20, "source": 1, "target": 3}, {... | {"states": [124, 122], "expectation_value": -20.479102914649978, "params": [[-0.0032, -0.035300000000000005, 0.0073], [0.0105, 0.06720000000000001, 0.06960000000000001]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.011595144487882113, 0.012858351348224883], "optimization_... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 17.5 * Z(1) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0256) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0256) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0256) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0256) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
bce5ca5986693901af184e18507446b4 | 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": 2}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 6, "source": 1, "target": 5}, {"capacity": 6, "source": 2, ... | {"states": [127, 1], "expectation_value": -0.19872968690132714, "params": [[-0.006200000000000001, 0.0261, -0.0334], [0.024300000000000002, -0.0256, 0.0146]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.0042425876160024694, 0.004262748521810115], "optimization_time": 16.7... | -0.25 * (Z(0) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(5)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(5)) + 0.25 * Z(2) + -0.25 * Z(0) + 0.5 * Z(7) + -0.25 * Z(1) + -0.75 *... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0031) q[0];
cx q[2], q[0];
cx q[0], q[7];
rz(-0.0062) q[7];
cx q[0], q[7];
cx q[2], q[1];
rz(0.0186) q[1];
cx q[2], q[1];
cx q[1], q[5];
rz(0.0217) q[5];
cx q[1], q[5];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
4219955637285943090 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[9, 11, 7], [0, 2, 10, 3], [5, 7], [0, 1, 2, 5], [0, 1, 4, 6, 9, 11], [3, 6, 8, 9, 10, 11], [1, 2, 3, 4], [1, 2, 4, 6], [8, 7], [0, 3, 5, 6, 10, 11], [0, 8, 2, 4], [0, 1, 5, 6, 8, 9, 10], [8, 2, 11, 4], [2, 10, 11, 5], [10, 11, 4], [8, 2, 3], [1, 2, 3, 5,... | {"states": [2993, 4017], "expectation_value": -5.343726292964586, "params": [1.8157, -0.003, 0.2056, 0.0036000000000000003, 1.208, -0.0037, 1.8685, 0.0008, 1.8292000000000002, -0.0057, 0.9442, 0.0071, 1.8449, -0.0001, 1.754, 0.0054, 1.8564, 0.0011, 1.2629000000000001, 0.0079, 1.8549, -0.0039000000000000003, 1.3911, 0.0... | 0.29047619047619044 * (Z(9) @ Z(11)) + 0.3333333333333333 * (Z(7) @ Z(11)) + 0.16666666666666666 * (Z(7) @ Z(9)) + 0.26666666666666666 * (Z(0) @ Z(11)) + 0.09047619047619047 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(0) @ Z(7)) + 0.2738095238095238 * (Z(2) @ Z(11)) + 0.023809523809523808 * (Z(2) @ Z(9)) + 0.33333333333... | 6 | 12 | 1 | {"smallest_eigenvalues": [-6.223809523809523], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0500000000000025, "smallest_bitstrings": ["000001001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.8157) q[0];
rz(-0.003) q[0];
rx(1.208) q[1];
rz(-0.0037) q[1];
rx(1.8292) q[2];
rz(-0.0057) q[2];
rx(1.8449) q[3];
rz(-0.0001) q[3];
rx(1.8564) q[4];
rz(0.0011) q[4];
rx(1.8549) q[5];
rz(-0.0039) q[5];
rx(1.8534) q[6];
rz(0.0028) q[6];
rx(1.8648) 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": []} |
766ad5c893fdabef4db5a6d615ba911f | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 6}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 0, "target": 4}, {... | {"states": [126, 122], "expectation_value": -40.86541592549894, "params": [[-0.0358, 0.0023, 0.00030000000000000003, 0.0019], [0.08, 0.0693, 0.0716, 0.0526]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.021894312124528886, 0.022195336332740873], "optimization_time": 6.732... | 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(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-78.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.2864) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2864) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2864) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2864) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
951cbddae609304a780bb0bbe3d3c74a | 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": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [682, 683], "expectation_value": -2.6430663252282227, "params": [[1.1935, 0.0044, 1.0455, -0.001, 1.1583, -0.0002, 0.6673, 0.048400000000000006, 1.2367000000000001, 0.5098], [0.7296, -0.0009000000000000001, 1.0582, -0.0026000000000000003, 0.8348, 0.1653, 1.3274000000000001, -0.021500000000000002, 0.607300000... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(6)) + -0.25 *... | 10 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101010100", "1100100010", "1001010100", "0110011000", "1000110001", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.1935) q[0];
ry(0.0044) q[1];
ry(1.0455) q[2];
ry(-0.001) q[3];
ry(1.1583) q[4];
ry(-0.0002) q[5];
ry(0.6673) q[6];
ry(0.0484) q[7];
ry(1.2367) q[8];
ry(0.5098) q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
e5362bdf5e727045ae0e3b514af6e6e2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 4, "source": 1, "target": 5}, {"capaci... | {"states": [44, 29], "expectation_value": -9.606446295553518, "params": null, "bitstrings": ["010011", "100010"], "total_optimization_steps": 43, "probabilities": [0.10828730374394173, 0.8327087190411567], "optimization_time": 30.49723792076111} | -0.25 * (Z(0) @ Z(2)) + -1.0 * (Z(4) @ Z(2)) + -1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(1) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(5)) + 1.25 * Z(2) + -0.25 * Z(0) + -2.5 * Z(4) + 0.0 * Z(1) + -0.5 * Z(5) + 2.0 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(1.5708) q[3];
cry(-1.5708) q[5], q[0];
ry(1.1112) q[5];
cry(-0.5795) q[3], q[0];
cry(1.5705) q[5], q[1];
cry(0.266) q[1], q[5];
cry(1.4945) q[3], q[2];
cry(-0.0917) q[1], q[0];
cry(-0.0613) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7f4c1e2c9bad0a6e0605fae9471bc9cf | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1910, 1911], "expectation_value": -3.480251860542958, "params": [-0.0037, 0.3894, -0.0013000000000000002, 0.3799, 0.1184, 0.2028, 0.11660000000000001, 0.2008, 0.3864, 0.0187, 0.3876, 0.0651, 0.496, 0.0063, 0.4938, 0.0002, 0.4933, 0.0005, 0.5001, 0.0001, 0.1275, 0.1365, 0.1297, 0.1262, 0.4948, 0.018600000000... | 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(5) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(5) @ Z(4)) + -0.0625 * (Z(1) @ Z(2) @ Z(3)) + -0.0625 * (Z(1) @ Z(2) @ Z(4)) + -0.0... | 7 | 13 | 3 | {"smallest_eigenvalues": [-4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625, -4.40625], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.40625, "smallest_bitstrings": ["1110000000001", "1000011001000", "1000010101000", "1000010110000", "10100001... | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(-0.0037) q[0];
rz(0.3894) q[0];
rx(0.1184) q[1];
rz(0.2028) q[1];
rx(0.3864) q[2];
rz(0.0187) q[2];
rx(0.496) q[3];
rz(0.0063) q[3];
rx(0.4933) q[4];
rz(0.0005) q[4];
rx(0.1275) q[5];
rz(0.1365) q[5];
rx(0.4948) q[6];
rz(0.0186) q[6];
rx(0.3949) 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": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [0, 5], "expectation_value": -2.44663260195865, "params": [[[0.058300000000000005, -0.023200000000000002], [0.4451, -0.5388000000000001], [0.4035, 0.7104], [0.1437, 0.7032], [0.4691, 0.0644]], [[-0.1874, -0.07390000000000001], [0.7000000000000001, 0.2066], [0.7081000000000001, -0.3541], [0.7071000000000001, ... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 15 | 5 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(0.0583) q[0];
ry(0.4451) q[1];
ry(0.4035) q[2];
ry(0.1437) q[3];
ry(0.4691) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.0232) q[0];
ry(-0.5388) q[1];
ry(0.7104) q[2];
ry(0.7032) q[3];
ry(0.0644) q[4];
cx q[4], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5ff13daf48c5dfc8657b57cf7715e1fc | 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": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "... | {"states": [4091, 4095], "expectation_value": -13.75871306339151, "params": [0.4445, 0.39130000000000004, 0.3633, 0.006, -1.2549000000000001, 2.8769, -1.4038000000000002, 0.0046, 1.5872000000000002, 0.9405, -0.2918, 0.0014, 1.4475, 0.4116, -0.5572, 0.007200000000000001, 1.3734000000000002, 0.2305, -0.5069, 0.0008, -1.3... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * (Z(8) @ Z(10)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(11) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(11)) + 0.5 * (Z(4) @ Z(11)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5... | 6 | 12 | 1 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.4445) q[0];
rz(0.3913) q[0];
rx(-1.2549) q[1];
rz(2.8769) q[1];
rx(1.5872) q[2];
rz(0.9405) q[2];
rx(1.4475) q[3];
rz(0.4116) q[3];
rx(1.3734) q[4];
rz(0.2305) q[4];
rx(-1.3823) q[5];
rz(0.2893) q[5];
rx(-1.25) q[6];
rz(0.2241) q[6];
rx(-1.0064) 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[... | {"node": 7} | {"circuits": [], "gradients": []} |
0d8e08edacb19af1eadafa58f3724383 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 7}, {"weight": 10, "source": 2, "target": 3}, {"weight": 11, "source": 2, "tar... | {"states": [222, 186], "expectation_value": -26.165179293706647, "params": [[-0.040400000000000005, 0.008700000000000001, 0.0024000000000000002], [0.0777, 0.068, 0.06760000000000001]], "bitstrings": ["100100001", "101000101"], "total_optimization_steps": 10, "probabilities": [0.008962216273980177, 0.01043587865486182],... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(3)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 10.0 * Z(1) + 0.0 * Z(0) + 14.5 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-68.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.5, "smallest_bitstrings": ["101000101"]} | 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(-0.3636) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.3636) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(-0.3636) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(-0.3636) q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
600a12ed8acc1493d24fddbcbeff68c8 | 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": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capac... | {"states": [0, 1], "expectation_value": -11.654502231197439, "params": [0.0041, 0.1169, -0.0026000000000000003, 0.1263, 0.0044, 0.1173, 0.0005, 0.1632, -0.0009000000000000001, 0.16160000000000002, 0.0045000000000000005, 0.1597, 0.0076, 0.1144, 0.0023, 0.1585, 0.0006000000000000001, 0.1558, 0.001, 0.1521, -0.0005, 0.169... | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(1) @ Z(2)) + -0.5 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(8) @ Z(2)) + -1.25 * (Z(8) @ Z(5)) + -0.5 * (Z(8) @ Z(3)) + 2.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) ... | 6 | 10 | 4 | {"smallest_eigenvalues": [-14.0, -14.0, -14.0, -14.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -13.0, "smallest_bitstrings": ["1111111110", "1110101100", "1110101000", "1110100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0041) q[0];
rz(0.1169) q[0];
rx(0.0044) q[1];
rz(0.1173) q[1];
rx(-0.0009) q[2];
rz(0.1616) q[2];
rx(0.0076) q[3];
rz(0.1144) q[3];
rx(0.0006) q[4];
rz(0.1558) q[4];
rx(-0.0005) q[5];
rz(0.1697) q[5];
rx(0.0039) q[6];
rz(0.1337) q[6];
rx(0.0005) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
519c34a92d635f5d0d1d5056f186a00b | 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": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "s... | {"states": [127, 255], "expectation_value": -0.19111203322523754, "params": [[-0.0656], [0.06380000000000001]], "bitstrings": ["110000000", "100000000"], "total_optimization_steps": 10, "probabilities": [0.0023608761452515513, 0.0023775227508691325], "optimization_time": 2.769733190536499} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + 1.25 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(8) @ Z(4)) + -0.75 * (Z(3) @ Z(6)) + -0.25 * (Z(3) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.5, "smallest_bitstrings": ["100000000", "100000010", "110000000", "110000010", "110100110", "110101110"]} | 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(0.0328) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0656) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(0.0656) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(0.0328) q[7];
cx q[0], q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
-527894182820865165 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[10, 5, 7], [0, 2], [0, 3, 6], [9, 6], [0, 10, 3], [2, 3, 5], [5, 6], [10, 4, 6], [2, 4, 5], [0, 4], [0, 9, 7], [1, 7], [8, 6]]} | {"states": [472, 473], "expectation_value": -4.505507951003443, "params": [0.0022, -1.0934000000000001, 0.0027, 2.1889000000000003, 1.7207000000000001, 0.0028, 3.0016000000000003, 0.0022, 3.1389, 0.2427, 3.1778, -0.0051, 3.0081, 0.0022, 3.1393, 0.29050000000000004, -0.0025, 0.131, -0.0027, 1.9787000000000001, 1.6043, 0... | 0.16666666666666666 * (Z(10) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.3333333333333333 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(3) @ ... | 4 | 11 | 1 | {"smallest_eigenvalues": [-4.666666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333334, "smallest_bitstrings": ["11000100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0022) q[0];
rz(-1.0934) q[0];
rx(0.0027) q[1];
rz(2.1889) q[1];
rx(1.7207) q[2];
rz(0.0028) q[2];
rx(3.0016) q[3];
rz(0.0022) q[3];
rx(3.1389) q[4];
rz(0.2427) q[4];
rx(3.1778) q[5];
rz(-0.0051) q[5];
rx(3.0081) q[6];
rz(0.0022) q[6];
rx(3.1393) 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": []} |
3891428211511463459 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2], [0, 2, 4, 6], [0, 1], [4, 5], [4, 7], [0, 3], [1, 4]]} | {"states": [170, 168], "expectation_value": -2.8382847304891903, "params": null, "bitstrings": ["01010101", "01010111"], "total_optimization_steps": 62, "probabilities": [0.030415628871871592, 0.7800575205492319], "optimization_time": 88.81822061538696} | 0.5 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0000000000000004, "smallest_bitstrings": ["01010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[4], q[1];
ry(0.9138) q[4];
cry(-1.367) q[4], q[7];
cry(-1.367) q[4], q[5];
cry(-0.7843) q[2], q[1];
cry(1.2135) q[4], q[2];
cry(1.2368) q[2], q[0];
cry(-0.4365) q[0], q[1];
cry(-1.4... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[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];\nc[6] = me... |
-4961275928088128771 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 8, 2, 4], [0, 2, 3, 4, 5, 6, 7], [1, 3, 4, 5, 6, 8], [8, 1, 2, 3], [1, 3, 4, 5, 6, 7], [0, 1, 5, 6, 7, 8], [8, 2, 5, 7], [0, 1, 3, 4]]} | {"states": [215, 315], "expectation_value": -0.8437763492710715, "params": [[-0.3335], [0.326]], "bitstrings": ["100101000", "011000100"], "total_optimization_steps": 40, "probabilities": [0.004144801177804728, 0.004175950545471808], "optimization_time": 6.7554755210876465} | 0.11666666666666667 * (Z(0) @ Z(8)) + 0.25 * (Z(2) @ Z(8)) + 0.10714285714285714 * (Z(2) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(8)) + 0.19047619047619047 * (Z(4) @ Z(0)) + 0.10714285714285714 * (Z(4) @ Z(2)) + 0.11666666666666667 * (Z(3) @ Z(8)) + 0.10714285714285714 * (Z(3) @ Z(0)) + 0.10714285714285714 * (Z(3) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.7071428571428573], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6595238095238094, "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[8], q[0];
rz(-0.0778) q[0];
cx q[8], q[0];
cx q[8], q[2];
rz(-0.1668) q[2];
cx q[8], q[2];
cx q[0], q[2];
rz(-0.0715) q[2];
cx q[0], q[2];
cx q[8], q[4];
rz(-0.0778) q[4];
cx q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
96c17e5b9e437bd6027ef84924d304b0 | 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": 5}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4... | {"states": [29679, 29695], "expectation_value": -15.473432642989431, "params": [0.3057, 0.0038, 0.29650000000000004, 0.0038, 0.30560000000000004, 0.0068000000000000005, 0.302, 0.0018000000000000002, 0.2995, -0.0038, 0.30110000000000003, -0.0016, -0.0019, 0.2209, -0.0049, 0.2049, 0.0, 0.17930000000000001, -0.008, 0.2341... | 0.5 * (Z(5) @ Z(7)) + 2.0 * (Z(8) @ Z(7)) + 1.0 * (Z(8) @ Z(5)) + 1.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(5)) + 2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(6) @ Z(7)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(7)) + 1.0 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(12) @ Z(10)) + 1.0 * (... | 7 | 15 | 3 | {"smallest_eigenvalues": [-44.99999999999951], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -44.28571428571351, "smallest_bitstrings": ["000110000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(0.3057) q[0];
rz(0.0038) q[0];
rx(0.3056) q[1];
rz(0.0068) q[1];
rx(0.2995) q[2];
rz(-0.0038) q[2];
rx(-0.0019) q[3];
rz(0.2209) q[3];
rx(0) q[4];
rz(0.1793) q[4];
rx(0.2997) q[5];
rz(0.0053) q[5];
rx(0.3009) q[6];
rz(-0.0033) q[6];
rx(0.3029) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
58f2180ba6d9be6eae82fcbd77eed4c9 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 9},... | {"states": [0, 1792], "expectation_value": -0.3247503250368694, "params": [[0.0207], [-0.014400000000000001]], "bitstrings": ["11111111111", "00011111111"], "total_optimization_steps": 10, "probabilities": [0.0005200628547773304, 0.0005219218051284457], "optimization_time": 1.1467139720916748} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -3.5 * (Z(3) @ Z(5)) + 1.0 * (Z(8) @ Z(5)) + -3.0 * (Z(8) @ Z(3)) + 1.0 * (Z(9) @ Z(5)) + -3.0 * (Z(9) @ Z(3)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(5)) + -3.5 * (Z(10) @ Z(3)) + 0.5 * (Z(10) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + -3.5 * (Z(4) @ Z(5)) + 1... | 1 | 11 | 1 | {"smallest_eigenvalues": [-35.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["00011111111"]} | 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(-0.0621) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0207) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0621) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(-0.1449)... | 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": 6} | {"circuits": [], "gradients": []} |
7254169215238567323 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [8, 3], [4, 5], [1, 4], [2, 5], [3, 6], [8, 1], [1, 2], [2, 3], [5, 6], [0, 5], [2, 6], [2, 4], [4, 7], [1, 3]]} | {"states": [170, 341], "expectation_value": -0.08790643282079119, "params": [[-0.0483], [0.061700000000000005]], "bitstrings": ["101010101", "010101010"], "total_optimization_steps": 10, "probabilities": [0.0021677070168179867, 0.0021677070168179867], "optimization_time": 3.047734022140503} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(0) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["101010101", "010101010"]} | 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[7], q[8];
rz(-0.0483) q[8];
cx q[7], q[8];
cx q[8], q[3];
rz(-0.0483) q[3];
cx q[8], q[3];
cx q[7], q[4];
rz(-0.0483) q[4];
cx q[7], q[4];
cx q[4], q[5];
rz(-0.0483) q[5];
cx q[4], 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[7], q[8];
rz(x0) q[8];
cx q[7], q[8];
cx q[8], q[3];
rz(x0) q[3];
cx q[8], q[3];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];... | null | {"circuits": [], "gradients": []} |
ef86cdfaf327bff6279da2b2e63cb516 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [100, 19], "expectation_value": -0.301421066918548, "params": [[-0.027800000000000002, -0.028200000000000003, -0.001, -0.0458], [0.030000000000000002, 0.0419, 0.0014, 0.033600000000000005]], "bitstrings": ["0011011", "1101100"], "total_optimization_steps": 10, "probabilities": [0.00944176478872185, 0.0094629... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(5) + -1.0 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.5, "smallest_bitstrings": ["0111010", "0011011", "1101100"]} | 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(-0.0278) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0278) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0278) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(-0.0278) q[5];
cx q[0], q[5];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ac2ea1094fd85ddc315d8a667b08edeb | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [1205, 1077], "expectation_value": -115.44201932823226, "params": [0.4932, 0.4934, -0.0037, 0.0024000000000000002, -0.004, -0.0009000000000000001, 0.20040000000000002, 0.1975, 0.2217, 0.21180000000000002, 0.4974, 0.48950000000000005, 0.4849, 0.48500000000000004, 0.0912, 0.07880000000000001, 0.496200000000000... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(5) @ Z(0)) + 7.0 * (Z(6) @ Z(5)) + 7.0 * (Z(3) @ Z(6)) + 7.0 * (Z(4) @ Z(5)) + 7.0 * (Z(4) @ Z(6)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(3)) + 7.0 * (Z(7) @ Z(8)) + 7.0 * (Z(9) @ Z(0)) + 7.0 * (Z(9) @ Z(5)) + 7.0 * (Z(10) @ Z(6)) + 7.0 * (Z(10) @ Z(3)) + 7.0 * (Z(10) @ Z(8)) + -6.0 * Z(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -126.0, "smallest_bitstrings": ["01111001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.4932) q[0];
ry(-0.0037) q[1];
ry(-0.004) q[2];
ry(0.2004) q[3];
ry(0.2217) q[4];
ry(0.4974) q[5];
ry(0.4849) q[6];
ry(0.0912) q[7];
ry(0.4962) q[8];
ry(0.0886) q[9];
ry(0.4895) q[10];
crx(0.4745) q[10], q[0];
crx(0.0669) q[9], q[10];
crx(-0.0957) q[8], ... | 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, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
-7484298337724277742 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4], [4, 6, 7], [0, 1, 6, 8], [1, 2, 4, 5, 8], [0, 3, 7], [0, 1, 2, 4, 5], [1, 3, 5], [1, 2, 6, 7, 8]]} | {"states": [462, 381], "expectation_value": -1.0013371084233982, "params": [[0.3649], [-0.3503]], "bitstrings": ["000110001", "010000010"], "total_optimization_steps": 40, "probabilities": [0.005524820994871014, 0.005861090947314622], "optimization_time": 3.9789717197418213} | 0.23333333333333334 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.25 * (Z(3) @ Z(1)) + 0.18333333333333335 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.05 * (Z(6) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(1)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.05 * (... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.1000000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.016666666666667, "smallest_bitstrings": ["010000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.1703) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0608) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.1825) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.1338) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 3}, {"capacity": 7, "source": 0, "target": 4}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 4}, {"capaci... | {"states": [1, 17], "expectation_value": -5.179663414564005, "params": [[-0.052700000000000004, -0.0585, -0.0565, -0.0558], [0.060700000000000004, 0.0679, 0.07060000000000001, 0.0737]], "bitstrings": ["111110", "101110"], "total_optimization_steps": 10, "probabilities": [0.04979975992676748, 0.07439730797602653], "opti... | -1.5 * (Z(0) @ Z(3)) + -2.25 * (Z(4) @ Z(3)) + -1.75 * (Z(4) @ Z(0)) + 3.5 * (Z(5) @ Z(0)) + -1.25 * (Z(1) @ Z(4)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -1.25 * Z(3) + -0.25 * Z(0) + -2.75 * Z(4) + 3.0 * Z(5) + 1.75 * Z(1) + -0.5 * Z(2) | 1 | 6 | 4 | {"smallest_eigenvalues": [-19.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.25, "smallest_bitstrings": ["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(0.1581) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.2372) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(0.1845) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.3689) q[5];
cx q[0], q[5];
cx q[4], q[1];
rz(0.131... | OPENQASM 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": []} |
fc004364023d9de40312a47332ff3203 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [21, 34], "expectation_value": -0.18029188779659958, "params": [[0.0661], [-0.050100000000000006]], "bitstrings": ["101010", "011101"], "total_optimization_steps": 10, "probabilities": [0.016853790134818348, 0.016892389599862306], "optimization_time": 1.284496784210205} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "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[1], q[0];
rz(0.0661) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0661) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0661) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.0661) q[5];
cx q[3], q[5];
cx q[1], q[4];
rz(0.0661... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
-2226639762491799027 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 2], [2, 3], [0, 5], [0, 2], [5, 6], [1, 3], [2, 6], [1, 5], [3, 4], [0, 1], [1, 6]]} | {"states": [104, 73], "expectation_value": -2.9650937202989383, "params": null, "bitstrings": ["0010111", "0110110"], "total_optimization_steps": 49, "probabilities": [0.04720135668873577, 0.7465366304011427], "optimization_time": 61.521867752075195} | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["0110110", "1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cry(-1.0342) q[6], q[1];
cry(-1.0342) q[3], q[4];
ry(1.0293) q[3];
cry(-1.2204) q[0], q[2];
ry(1.0366) q[0];
cry(1.1216) q[0], q[6];
cry(-0.9098) q[3], q[1];
ry(-0.6848) q[2];
cry(-1.3605) q[0], q[5];
ry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6... |
cb3c7c022cb9712afc36cb282644505f | 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": 2}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, ... | {"states": [1, 93], "expectation_value": -0.8671394945784962, "params": [[-0.0148, -0.0396, -0.0477, -0.0451], [-0.0374, 0.028800000000000003, 0.049, 0.0568]], "bitstrings": ["11111110", "10100010"], "total_optimization_steps": 10, "probabilities": [0.00727003737218109, 0.0074634895400501385], "optimization_time": 7.44... | -0.5 * (Z(0) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(0)) + 1.25 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.5 * (Z(1) @ Z(7)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(1)) + -0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-9.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0148) q[0];
cx q[2], q[0];
cx q[2], q[6];
rz(0.0148) q[6];
cx q[2], q[6];
cx q[0], q[6];
rz(0.0148) q[6];
cx q[0], q[6];
cx q[0], q[7];
rz(-0.037) q[7];
cx q[0], q[7];
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": []} |
9b3f50d83aeb4454c621f1b51fde8017 | 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": [311, 310], "expectation_value": -95.88548697840835, "params": [0.37160000000000004, 0.39130000000000004, 0.997, 0.0007, 0.0016, 0.7424000000000001, -0.0036000000000000003, 0.6956, 0.9965, -0.0017000000000000001, 0.9979, 0.1763, 0.35100000000000003, 0.384, 0.9918, -0.004200000000000001, 0.9926, -0.1083000000... | 6.5 * (Z(1) @ Z(0)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(6) @ Z(1)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(5) @ Z(0)) + 6.5 * (Z(5) @ Z(6)) + 6.5 * (Z(5) @ Z(7)) + 6.5 * (Z(9) @ Z(4)) + 6.5 * (Z(9) @ Z(7)) + 6.5 * (Z(8) @ Z(0)) + 6.5 * (Z(8) @ Z(5)) + 6.5 * (Z(8) @ Z(9)) + 8.0 * Z(0) + 9.0 * Z(1) + -5.5 * Z... | 18 | 10 | 3 | {"smallest_eigenvalues": [-114.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -97.0, "smallest_bitstrings": ["1011001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.3716) q[0];
rz(0.3913) q[0];
rx(0.997) q[1];
rz(0.0007) q[1];
rx(0.0016) q[2];
rz(0.7424) q[2];
rx(-0.0036) q[3];
rz(0.6956) q[3];
rx(0.9965) q[4];
rz(-0.0017) q[4];
rx(0.9979) q[5];
rz(0.1763) q[5];
rx(0.351) q[6];
rz(0.384) q[6];
rx(0.9918) 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], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
b7eaf66301f9b7c8d4f947444be4cce6 | 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": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 6, "target": 7},... | {"states": [0, 1983], "expectation_value": -6.8445047888955015, "params": [0.40540000000000004, 0.0056, 0.2594, 0.015700000000000002, 0.40900000000000003, 0.0499, 0.27590000000000003, 0.22290000000000001, 0.40800000000000003, 0.029500000000000002, 0.28090000000000004, 0.2832, 0.4077, 0.1198, 0.2856, 0.272, 0.3752000000... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(6)) + -1.0 * (Z(7) @ Z(8)) + -1.0 * (Z(9) @ Z(10)) + -1.0 * (Z(2) @ Z(3)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(6) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + 0.5 * Z(10) + 0.5 * Z(9) + 0.5 * Z(3) + 0.5 * Z(2) + -0.5 * Z(4) | 6 | 11 | 3 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["00001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4054) q[0];
rz(0.0056) q[0];
rx(0.409) q[1];
rz(0.0499) q[1];
rx(0.408) q[2];
rz(0.0295) q[2];
rx(0.4077) q[3];
rz(0.1198) q[3];
rx(0.3752) q[4];
rz(0.0442) q[4];
rx(-0.4127) q[5];
rz(0.2054) q[5];
rx(-0.412) q[6];
rz(0.1869) q[6];
rx(0.43) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": 3} | {"circuits": [], "gradients": []} |
eaf152c9366c1fc70b9994ec462b6b4c | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [35, 7], "expectation_value": -3.9964640440510215, "params": null, "bitstrings": ["011100", "111000"], "total_optimization_steps": 23, "probabilities": [0.06634810230103094, 0.9303665171778082], "optimization_time": 14.231394052505493} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + -1.5 * Z(2) + -0.5 * Z(0) + -1.0 * Z(3) + -1.5 * Z(1) + 0.0 * Z(4) + -0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["111000", "011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.5681) q[1];
ry(1.4449) q[4];
ry(1.4449) q[5];
cry(-1.0342) q[3], q[0];
ry(0.7003) q[3];
ry(-0.4549) q[0];
cry(0.4963) q[5], q[3];
cry(-0.3789) q[5], q[0];
cry(0.2489) q[4], q[3];
cry(-0.14... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
3d599008e6d247101eb02503201a8a05 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [3, 15], "expectation_value": -3.7234761311179265, "params": null, "bitstrings": ["11100", "10000"], "total_optimization_steps": 31, "probabilities": [0.07184116205466895, 0.8057247226415204], "optimization_time": 20.290053367614746} | -0.25 * (Z(0) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + -1.5 * (Z(1) @ Z(2)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(1)) + 0.75 * Z(2) + -0.25 * Z(0) + -0.25 * Z(4) + 0.0 * Z(1) + -0.25 * Z(3) | 1 | 5 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(1.57) q[1], q[2];
ry(0.9551) q[1];
ry(0.4501) q[2];
cry(1.5542) q[1], q[3];
cry(0.342) q[2], q[1];
cry(1.3456) q[3], q[4];
cry(-1.4668) q[4], q[0];
cry(0.0716) q[3], q[2];
cry(0.1588) q[1], q[4];
ry(-0.0592) q[3];
cr... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(1.57) q[1], q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubi... |
dff6b7c8d2fb1f633c6f93517d212741 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"sour... | {"states": [169, 201], "expectation_value": -4.650824851439032, "params": [0.794, -0.0038, 0.8078000000000001, -0.0025, 0.7926000000000001, -0.0034000000000000002, 0.8104, 0.0021000000000000003, 0.4097, 0.010100000000000001, 0.8033, 0.0008, 0.0323, 0.1438, 0.5369, -0.0082, 0.8063, -0.0005, 0.8002, -0.0007, 0.7992, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(7)) + -0.5 * Z(1) + -0.5 * Z(0) + -2.0 *... | 4 | 9 | 2 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["011010110", "100110110", "011010101", "010110110", "101010101", "101010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.794) q[0];
rz(-0.0038) q[0];
rx(0.8078) q[1];
rz(-0.0025) q[1];
rx(0.7926) q[2];
rz(-0.0034) q[2];
rx(0.8104) q[3];
rz(0.0021) q[3];
rx(0.4097) q[4];
rz(0.0101) q[4];
rx(0.8033) q[5];
rz(0.0008) q[5];
rx(0.0323) q[6];
rz(0.1438) q[6];
rx(0.5369) 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": []} |
fc004364023d9de40312a47332ff3203 | 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": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [24, 40], "expectation_value": -3.9741067800330327, "params": null, "bitstrings": ["100111", "010111"], "total_optimization_steps": 17, "probabilities": [0.07397901535923933, 0.9005745124139602], "optimization_time": 10.036495685577393} | 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(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(4)) + -0.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -1.5 * Z(5) + -1.5 * Z(4) + -1.0 * Z(2) | 1 | 6 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["011101", "100111", "101011", "010111", "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];
ry(-1.5708) q[3];
ry(-1.5681) q[5];
ry(-1.4449) q[4];
ry(1.4417) q[2];
cry(-1.0398) q[0], q[1];
ry(0.7022) q[0];
ry(-0.4578) q[1];
cry(0.4969) q[2], q[0];
cry(-0.3761) q[2], q[1];
cry(-0.1216) q[2], q[4];
cry(0.1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
480f421c6387c3fcdbf1678b1e5bdd17 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "ta... | {"states": [204, 205], "expectation_value": -4.044057136931058, "params": [0.3078, -0.00030000000000000003, 0.3099, -0.00030000000000000003, 0.30920000000000003, -0.0008, 0.3074, -0.0027, -0.0015, 0.1625, 0.0011, 0.1683, -0.011000000000000001, 0.1733, -0.008700000000000001, 0.17020000000000002, 0.30770000000000003, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * Z(2) + -0.5 * Z(0) + -2.0 * Z(3) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(4) + -0.5 * Z(5) + 0.... | 7 | 8 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["00110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3078) q[0];
rz(-0.0003) q[0];
rx(0.3092) q[1];
rz(-0.0008) q[1];
rx(-0.0015) q[2];
rz(0.1625) q[2];
rx(-0.011) q[3];
rz(0.1733) q[3];
rx(0.3077) q[4];
rz(0.0012) q[4];
rx(0.3073) q[5];
rz(0.0015) q[5];
rx(0.0888) q[6];
rz(0.1211) q[6];
rx(0.3038) 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] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} |
ae89ed3cd3a3daf867ac1e5c76cb7bf2 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 5}, {"weight": 11, "source": 1, "target": 6}, {"weight": 19, "source": 1, "target": 4}, {... | {"states": [122, 118], "expectation_value": -9.410311349726452, "params": [[0.044500000000000005, 0.020900000000000002], [-0.047400000000000005, -0.042800000000000005]], "bitstrings": ["10000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.008737663665293077, 0.009126558258256076], "optimization_t... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(4) @ Z(5)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(1) + 5.5 * Z(0) + 9.5 * Z(3) + 17.5 * Z(2) + 7.5 * Z(5) + 4.5 * Z(4) +... | 1 | 8 | 2 | {"smallest_eigenvalues": [-56.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -50.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.356) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.356) q[3];
cx q[0], q[3];
cx q[0], q[2];
rz(0.356) q[2];
cx q[0], q[2];
cx q[3], q[2];
rz(0.356) q[2];
cx q[3], q[2];
cx q[3], 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
b6a304d520c14d5694a43ad2063dd94f | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 1, "so... | {"states": [30, 15], "expectation_value": -0.29778569783823555, "params": [[-0.26940000000000003, 0.302, 0.0006000000000000001, 0.3034, -0.2675], [0.2635, 0.3025, 0.0016, 0.3058, -0.27030000000000004]], "bitstrings": ["00001", "10000"], "total_optimization_steps": 30, "probabilities": [0.07415441475837976, 0.0741621427... | -0.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(4) @ Z(1)) + 1.25 * (Z(4) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(2) + -0.25 * Z(4) + 0.25 * Z(3) | 9 | 5 | 2 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["10000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(-0.2694) q[0];
rx(0.302) q[1];
rx(0.0006) q[2];
rx(0.3034) q[3];
rx(-0.2675) q[4];
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cz q[4], q[3];
cz q[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
d7d01055332214989e6d0d1158e981dc | 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": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2... | {"states": [120, 63], "expectation_value": -5.255448403482378, "params": [[-0.061700000000000005, -0.0698, -0.0512, -0.0489], [0.061900000000000004, 0.0717, 0.06430000000000001, 0.06570000000000001]], "bitstrings": ["0000111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.029677096630999968, 0.0439679... | -0.25 * (Z(0) @ Z(1)) + -1.75 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(3)) + -0.75 * (Z(2) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(5) @ Z(3)) + -1.75 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(2)) + -1.5 * (Z(5) @ Z(4)) + -0.25 * Z(1) + -0.25 * Z(0) + 3.25 * Z(3... | 1 | 7 | 4 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0309) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.216) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1851) q[3];
cx q[0], q[3];
cx q[1], q[6];
rz(0.1234) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [138, 170], "expectation_value": -1.9519028388895332, "params": [0.6017, 0.1459, 0.3477, 0.227, 0.4344, 0.1721, 0.0017000000000000001, 0.462, 0.6043000000000001, 0.0013000000000000002, 0.0029000000000000002, -0.41850000000000004, 0.5999, 0.0907, 0.2169, 0.19940000000000002, 0.602, 0.1311, 0.263, 0.2204, 0.42... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(6)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(6)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(6)) + 0.0625 * (Z(4) @ Z(5... | 18 | 8 | 4 | {"smallest_eigenvalues": [-2.8125, -2.8125, -2.8125, -2.8125, -2.8125, -2.8125], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.8125, "smallest_bitstrings": ["01010110", "00110101", "01010101", "10010101", "00111100", "01110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.6017) q[0];
rz(0.1459) q[0];
rx(0.3477) q[1];
rz(0.227) q[1];
rx(0.4344) q[2];
rz(0.1721) q[2];
rx(0.0017) q[3];
rz(0.462) q[3];
rx(0.6043) q[4];
rz(0.0013) q[4];
rx(0.0029) q[5];
rz(-0.4185) q[5];
rx(0.5999) q[6];
rz(0.0907) q[6];
rx(0.2169) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
655689708e73cb2de5fff319b9c5049e | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [43669, 21866], "expectation_value": -0.014418739047967335, "params": [[-0.0529], [0.06910000000000001]], "bitstrings": ["0101010101101010", "1010101010010101"], "total_optimization_steps": 10, "probabilities": [1.6169724401284977e-05, 1.616972440128498e-05], "optimization_time": 16.28447723388672} | 0.25 * (Z(0) @ Z(1)) + -0.0009259259259259261 * (Z(2) @ Z(0)) + -0.0009259259259259261 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0006172839506172839 * (Z(4) @ Z(0)) + -0.00046296296296296303 * (Z(4) @ Z(2)) + 0.0006172839506172839 * (Z(5) @ Z(1)) + -0.00046296296296296303 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 1 | 16 | 1 | {"smallest_eigenvalues": [-2.018209876543181], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0182098765431693, "smallest_bitstrings": ["1010101010010101"]} | 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(-0.0265) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0001) q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
33f87d8b006507f35f4d20e43beeca46 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 4}, ... | {"states": [223, 215], "expectation_value": -2.4037274944925704, "params": [0.0035, 0.0022, 0.23570000000000002, 0.2353, 1.2055, 1.1996, 1.2046000000000001, 1.096, 0.3307, 0.2046, 1.2038, 1.2018, 0.7441, 0.6865, 1.196, 0.9003, 1.1953, 1.1987, 1.2009, 1.2089, -0.0021000000000000003, 0.4736, 0.1746, 0.47590000000000005, ... | 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(5) @ Z(6) @ Z(7)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(8) @ Z(0)) + 0.125 * (Z(9) @ Z(0)) + 0.125 * (Z(8) @ Z(5)) + 0.125 * (Z(9) @ Z(5)) + 0.125 * (Z(8) @ Z(9)) + -0.125 * (Z(8) @ Z(0) @ Z(5)) + ... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.625, "smallest_bitstrings": ["1011001000", "1100100100", "1011010000", "1101000100", "1011000100", "1010101000", "1100110000", "1100101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0035) q[0];
ry(0.2357) q[1];
ry(1.2055) q[2];
ry(1.2046) q[3];
ry(0.3307) q[4];
ry(1.2038) q[5];
ry(0.7441) q[6];
ry(1.196) q[7];
ry(1.1953) q[8];
ry(1.2009) q[9];
crx(-0.0021) q[9], q[0];
crx(1.1796) q[8], q[9];
crx(0.9669) q[7], q[8];
crx(-0.2546) 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": []} |
646c4ffdec7c3b688313fcfec6df6ea9 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [21, 28], "expectation_value": -0.05789719720731978, "params": [[-0.0688], [0.0716]], "bitstrings": ["101010", "100011"], "total_optimization_steps": 10, "probabilities": [0.01686273425676149, 0.01686273425676149], "optimization_time": 1.6911141872406006} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(5) @ Z(3)) + -0.25 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["001110", "110001", "010101", "101010", "011100", "100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0344) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0344) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0344) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0344) q[0];
cx q[1], q[0];
cx q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx ... | null | {"circuits": [], "gradients": []} |
41c6fd253707f3493d5d4e5aa1da9109 | 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": 4, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 4, "source": 0, ... | {"states": [11, 1], "expectation_value": -1.6426613778495214, "params": [[-0.0558, -0.0468], [0.0626, 0.0562]], "bitstrings": ["11110100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.007097426738523482, 0.008395549418018497], "optimization_time": 3.732269048690796} | -0.5 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + 3.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(... | 1 | 8 | 2 | {"smallest_eigenvalues": [-15.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.5, "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(0.0558) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1116) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1116) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.0558) q[4];
cx q[1], q[4];
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": []} |
320a9f451400cc7b47c12eaef6b494ad | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target": 5}, {"sour... | {"states": [63, 255], "expectation_value": -10.165243537192406, "params": null, "bitstrings": ["11000000", "00000000"], "total_optimization_steps": 100, "probabilities": [0.16245248585216635, 0.6240482061585408], "optimization_time": 181.25132870674133} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(3) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["00000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5706) q[5], q[7];
ry(1.056) q[5];
cry(1.5708) q[5], q[2];
cry(1.5708) q[7], q[4];
cry(1.5708) q[2], q[6];
cry(1.5708) q[4], q[3];
cry(1.5706) q[1], q[0];
cry(0.3806) q[3], q[7];
cry(0.2117) ... | null | {"node": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5706) q[5], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
236eee02726333745789aca07c73fbad | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 30], "expectation_value": -9.33869498199856, "params": [-0.0334, 0.8847, 0.1119, 0.325, -0.6475000000000001, 0.6518, -0.2664, 1.4903000000000002, 0.6084, 0.9067000000000001, 0.5347000000000001, 1.6828, 0.6273000000000001, 0.8502000000000001, 0.6447, 1.8436000000000001, -0.5357000000000001, 0.776600000000... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1) + -0.5 * Z(4) | 6 | 5 | 2 | {"smallest_eigenvalues": [-11.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -10.5, "smallest_bitstrings": ["00001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0334) q[0];
rz(0.8847) q[0];
rx(-0.6475) q[1];
rz(0.6518) q[1];
rx(0.6084) q[2];
rz(0.9067) q[2];
rx(0.6273) q[3];
rz(0.8502) q[3];
rx(-0.5357) q[4];
rz(0.7766) q[4];
crx(1.4624) q[4], q[3];
crx(0.6065) q[4], q[2];
crx(0.4222) q[4], q[1];
crx(0.1152) q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
2981235956450081384 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 3], [1, 2, 3, 5], [0, 5], [2, 4]]} | {"states": [44, 13], "expectation_value": -1.5033994196696974, "params": null, "bitstrings": ["010011", "110010"], "total_optimization_steps": 32, "probabilities": [0.061601806277099665, 0.8305018833570231], "optimization_time": 27.72593092918396} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.25 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(1) @ Z(2)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.5 * (Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.583333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(1.1408) q[3];
cry(-1.0342) q[2], q[4];
ry(0.8185) q[2];
cry(-1.1492) q[5], q[0];
ry(0.7312) q[5];
ry(-0.4962) q[0];
ry(-0.5516) q[4];
cry(0.5098) q[3], q[2];
cry(0.4811) q[3], q[5];
cry(-0.3265) q[3], q[0];
cr... | 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(1.1408) 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... |
5f79bb35bd8dc69bae5409f6ad22880d | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 6}, {"weight": 19, "source": 0, "target": 2}, {"weight": 11, "source": 1, "tar... | {"states": [237, 234], "expectation_value": -27.954164304410245, "params": [[0.023, 0.0094, -0.0064], [-0.07060000000000001, -0.08170000000000001, -0.0611]], "bitstrings": ["100010010", "100010101"], "total_optimization_steps": 10, "probabilities": [0.007921573827939992, 0.009931222411933744], "optimization_time": 6.64... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.207) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.207) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.207) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.207) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
d250d8f4fdc760c6792fe044aba3c8f3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 4}, {"weight": 19, "source": 0, "target": 5}, {"weight": 20, "source": 1, "target": 2}, {... | {"states": [124, 122], "expectation_value": -17.400774566349998, "params": [[0.029900000000000003, 0.0184, 0.0001], [-0.048600000000000004, -0.0529, -0.0369]], "bitstrings": ["10000011", "10000101"], "total_optimization_steps": 10, "probabilities": [0.0120722394493476, 0.015001660862480124], "optimization_time": 5.5274... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 14.0 * Z(1) + 8.5 * Z(0) + 17.5 * ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2392) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2392) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2392) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.2392) q[3];
cx q[0], q[3];
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[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
a7fba5c7fdc2a0492603f740d30b0e3e | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": ... | {"states": [4, 30], "expectation_value": -2.55823649346121, "params": [[[0.3154, -0.3121], [0.39580000000000004, 0.3109], [0.405, 0.1444], [0.4012, 0.0521], [0.4, 0.007], [0.23070000000000002, 0.4]], [[0.4025, 0.4073], [0.3977, -0.2621], [0.4052, -0.3371], [0.40490000000000004, -0.331], [0.011300000000000001, 0.0826], ... | 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) | 15 | 6 | 3 | {"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;
ry(0.3154) q[0];
ry(0.3958) q[1];
ry(0.405) q[2];
ry(0.4012) q[3];
ry(0.4) q[4];
ry(0.2307) 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(-0.3121) q[0];
ry(0.3109) q[1];
ry(0.1444) q[2];
ry(0.0521) q[3];
ry(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
bbe36c72142a04c8b1698fed3f77c25c | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": 2, "target"... | {"states": [57, 60], "expectation_value": -0.1526008804413294, "params": [[-0.019200000000000002, -0.0732, -0.0707], [-0.046700000000000005, 0.0658, 0.0669]], "bitstrings": ["1000110", "1000011"], "total_optimization_steps": 10, "probabilities": [0.010132627764609364, 0.010132627764609369], "optimization_time": 9.99062... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 1 | 7 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.25, "smallest_bitstrings": ["0101100", "1001001", "0100110", "1000110", "1000011", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0192) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0048) q[0];
cx q[2], q[0];
cx q[3], q[0];
rz(-0.0048) q[0];
cx q[3], q[0];
cx q[4], q[0];
rz(-0.0048) q[0];
cx q[4], q[0];
cx q[3], q[2... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
0f435eed505f807fb8dc44643dfd43ce | hamiltonian_path | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 22, "source": 0, "target": 2}, {"weight": 25, "source": 0, "target": 3}, {"weight": 2, "source": 1, "target": 2}, {"weight": 24, "source":... | {"states": [415, 413], "expectation_value": -5.035185063556209, "params": [0.42400000000000004, 0.0184, 0.42310000000000003, 0.0024000000000000002, 0.36560000000000004, 0.0267, 0.3659, 0.0059, 0.20770000000000002, -0.1273, 0.2084, -0.1403, 0.18910000000000002, -0.1547, 0.1832, -0.1661, 0.4138, 0.0234, 0.4189, 0.0056, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(8) ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.424) q[0];
rz(0.0184) q[0];
rx(0.3656) q[1];
rz(0.0267) q[1];
rx(0.2077) q[2];
rz(-0.1273) q[2];
rx(0.1891) q[3];
rz(-0.1547) q[3];
rx(0.4138) q[4];
rz(0.0234) q[4];
rx(0.4249) q[5];
rz(0.0182) q[5];
rx(0.4232) q[6];
rz(0.0192) q[6];
rx(0.2159) 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... | {"start_node": 0, "end_node": 4} | {"circuits": [], "gradients": []} |
251c225029b23900c5d41a0a241e8f62 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [48, 65], "expectation_value": -1.7534945796787524, "params": [[-0.1542], [0.16670000000000001]], "bitstrings": ["1001111", "0111110"], "total_optimization_steps": 20, "probabilities": [0.013338549501269717, 0.013338549501269724], "optimization_time": 1.763096809387207} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -0.5 * Z(0) + -0.5 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -4.0, "smallest_bitstrings": ["1001111", "0110111", "1101011", "0111011", "1100111", "0111101", "0111110", "1101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1542) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1542) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1542) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(-0.1542) q[4];
cx q[1], q[4];
cx q[3], 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[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(... | null | {"circuits": [], "gradients": []} |
421dc0e0e103964520cbb860ec0bda39 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 4}, {"weight": 18, "source": 1, "target": 2}, {"weight": 10, "source": 2, "tar... | {"states": [250, 218], "expectation_value": -79.54107809302629, "params": [0.5506, 0.0054, 3.1617, 0.001, 3.1617, 0.0047, 1.5631000000000002, 0.009000000000000001, 3.1613, 0.0051, 3.1617, 0.0078000000000000005, 0.19090000000000001, 0.0041, 3.1619, 0.00030000000000000003, 0.7655000000000001, 0.0037, 0.004200000000000001... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-87.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.5506) q[0];
rz(0.0054) q[0];
rx(3.1617) q[1];
rz(0.001) q[1];
rx(3.1617) q[2];
rz(0.0047) q[2];
rx(1.5631) q[3];
rz(0.009) q[3];
rx(3.1613) q[4];
rz(0.0051) q[4];
rx(3.1617) q[5];
rz(0.0078) q[5];
rx(0.1909) q[6];
rz(0.0041) q[6];
rx(3.1619) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
34fec832591d56601cbd146a15fec9ed | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, ... | {"states": [67, 83], "expectation_value": -2.453258256715654, "params": [0.801, 0.0058000000000000005, 0.3156, 0.40900000000000003, 0.8001, 0.2878, -0.0114, 0.4591, 0.18460000000000001, 0.5191, 0.7992, 0.265, 0.8066, -0.0037, 0.8089000000000001, 0.0043, 0.3109, 0.0057, 0.799, 0.007200000000000001, -0.009300000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(4) + 0.0 * Z(2) + -0.5 * Z(1) + -0.5 * Z(6) + -0.5 * Z(5) | 3 | 7 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.801) q[0];
rz(0.0058) q[0];
rx(0.3156) q[1];
rz(0.409) q[1];
rx(0.8001) q[2];
rz(0.2878) q[2];
rx(-0.0114) q[3];
rz(0.4591) q[3];
rx(0.1846) q[4];
rz(0.5191) q[4];
rx(0.7992) q[5];
rz(0.265) q[5];
rx(0.8066) q[6];
rz(-0.0037) q[6];
crz(0.0038) 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": []} |
db350f4c6cc12fe7a27604bdeac9089b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 4, "source": 1, ... | {"states": [3, 1], "expectation_value": -0.31468326693298354, "params": [[-0.037700000000000004, -0.0238], [0.0478, 0.025500000000000002]], "bitstrings": ["11111100", "11111110"], "total_optimization_steps": 10, "probabilities": [0.004892602616110879, 0.004985577152682737], "optimization_time": 3.4650559425354004} | -0.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(0)) + -0.75 * (Z(3) @ Z(2)) + -1.75 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(3)) + -0.75 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(5)) + -0.75 * (Z(6) @ Z(4)) + -1.75 * Z(1)... | 1 | 8 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["11111110", "11111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0189) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0754) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0189) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0566) q[3];
cx q[0], q[3];
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[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
53a8c0cf2a7004135083ccd4d37224c0 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 1, "target": 3}, {"capac... | {"states": [511, 1], "expectation_value": -0.9876224612984673, "params": [[0.07740000000000001], [-0.0804]], "bitstrings": ["1000000000", "1111111110"], "total_optimization_steps": 10, "probabilities": [0.0017956224001434383, 0.0018697336028487147], "optimization_time": 8.37116003036499} | -0.75 * (Z(0) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -1.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -1.0 * (Z(7) @ Z(1)) + -1.0 * (Z(7) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -0.75 * (Z(2) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + -1.0 * (Z(8) @ Z(5)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(2)) + 1.75 * (Z(9) @ Z(0)) + -1.25 * (Z(9... | 1 | 10 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(-0.1161) q[0];
cx q[1], q[0];
cx q[0], q[5];
rz(-0.1161) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-0.1935) q[3];
cx q[1], q[3];
cx q[5], q[3];
rz(-0.0387) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
bd4c1476c3aa7cafea7811e124c4791d | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [246, 127], "expectation_value": -7.233963664700546, "params": null, "bitstrings": ["00001001", "10000000"], "total_optimization_steps": 76, "probabilities": [0.1652386625665458, 0.5947143181571917], "optimization_time": 105.69182181358337} | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + -0.75 * (Z(4) @ Z(7)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(5)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z... | 1 | 8 | 3 | {"smallest_eigenvalues": [-8.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[1];
cry(1.5706) q[1], q[5];
cry(1.5626) q[4], q[3];
cry(1.5626) q[1], q[2];
cry(1.5486) q[4], q[7];
cry(0.8742) q[7], q[4];
cry(0.3966) q[7], q[3];
cry(-1.4585) q[7], q[0];
cry(1.3239... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
2980076936474430414 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 5], [1, 7], [2, 3, 5, 6, 7], [4, 7], [2, 3, 4, 6], [0, 6]]} | {"states": [55, 23], "expectation_value": -2.1285200869854135, "params": null, "bitstrings": ["11001000", "11101000"], "total_optimization_steps": 64, "probabilities": [0.1333828642868042, 0.6119897156984446], "optimization_time": 111.53703594207764} | 0.5 * (Z(4) @ Z(5)) + 0.05 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(7)) + 0.05 * (Z(2) @ Z(5)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.05 * (Z(2) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0.08333333333333333 * (Z(3) @ Z(4)) + 0.05 * (Z(3) @ Z(7)) + 0.13333333333333333 * (Z(3) @ Z(2)) + 0.05 * (Z(6) @ Z(5)) + 0.... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.366666666666667, -2.366666666666667, -2.366666666666667], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.25, "smallest_bitstrings": ["11011000", "01001010", "11101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[0];
ry(1.0406) q[6];
ry(-0.7063) q[0];
cry(-1.0342) q[7], q[1];
ry(0.8152) q[7];
cry(-1.3046) q[5], q[4];
ry(0.8299) q[5];
cry(-0.622) q[7], q[4];
cry(0.4069) q[5], q[7];
ry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[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] = me... |
4187cb356e6f58a0c6714f20153352eb | 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": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 1, "s... | {"states": [255, 1], "expectation_value": -0.726817945227476, "params": [[0.061900000000000004, -0.0018000000000000002], [-0.060200000000000004, -0.029500000000000002]], "bitstrings": ["100000000", "111111110"], "total_optimization_steps": 10, "probabilities": [0.00286132222997287, 0.0029000217223389183], "optimization... | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.5 * (Z(1) @ Z(3)) + -1.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(5)) + 1.25 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + -0.75 * (Z(4) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0, -11.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -10.0, "smallest_bitstrings": ["111101110", "111101100", "111111110", "101111100", "111111100", "101101100", "101101110", "101111110"]} | 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(-0.031) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0929) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0929) q[3];
cx q[0], q[3];
cx q[3], q[1];
rz(-0.0619) q[1];
cx q[3], q[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
08b9883600e02731f158b2b1d5d9c9bd | 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": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [5, 1], "expectation_value": -11.594555195733763, "params": null, "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 29, "probabilities": [0.38383946216887405, 0.46981555290989097], "optimization_time": 24.929487228393555} | -1.25 * (Z(0) @ Z(3)) + -2.0 * (Z(4) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(0)) + -1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + 3.75 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -1.25 * (Z(2) @ Z(4)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(6)) + -0.5 * (Z(1) @ Z(3)) + -0.25 * (Z(1) @ ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-18.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.75, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[6];
ry(-1.2796) q[0];
ry(-1.5708) q[3];
ry(-1.3483) q[4];
ry(-1.5708) q[1];
ry(-1.5708) q[2];
cry(0.9179) q[6], q[0];
cry(-1.2089) q[5], q[0];
ry(-1.7676) q[5];
cry(1.2259) q[6], q[4];
cry(-0... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
984069cd50d39f7e5d4b40fb03f5527d | 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": 3}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [37, 101], "expectation_value": -1.3470218034468822, "params": [0.2255, 0.2159, 0.2713, 0.2619, 0.2983, 0.306, 0.1573, 0.15810000000000002, -0.0034000000000000002, 0.0014, 0.29700000000000004, 0.29660000000000003, 0.1728, 0.1733, 0.3004, 0.2963, 0.2058, 0.19770000000000001, 0.259, 0.2575, 0.3048, 0.304600000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(0)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(7) @ Z(0)) + 0.25 * (Z(3) @ Z(1)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (... | 14 | 8 | 3 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.25, "smallest_bitstrings": ["01101010", "10011010", "10011100", "01011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.2255) q[0];
ry(0.2713) q[1];
ry(0.2983) q[2];
ry(0.1573) q[3];
ry(-0.0034) q[4];
ry(0.297) q[5];
ry(0.1728) q[6];
ry(0.3004) q[7];
crx(-0.0411) q[7], q[0];
crx(-0.0885) q[6], q[7];
crx(0.1736) q[5], q[6];
crx(0.1926) q[4], q[5];
crx(0.0057) q[3], q[4];
cr... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] 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": []} |
9d0fda9991561362ccfc12e66c38b9f5 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [52, 50], "expectation_value": -3.996515641776755, "params": null, "bitstrings": ["001011", "001101"], "total_optimization_steps": 22, "probabilities": [0.06700895329531315, 0.9297461640992837], "optimization_time": 21.189751148223877} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * Z(2) + 0.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(5) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "011100", "001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4417) q[1];
cry(-1.0398) q[4], q[3];
ry(0.7022) q[4];
ry(-0.4578) q[3];
cry(0.497) q[0], q[4];
cry(-0.3761) q[0], q[3];
cry(0.2474) q[1], q[4];
cry(-0.146... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
e4f5057259aaeddd1dd7f4f1ea49da8b | 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}], "edges": [{"capacity": 5, "source": 0, "target": 3}, {"capacity": 6, "source": 0, "target": 4}, {"capacity": 5, "source": 0, "target": 5}, {"capacity": 3, "source": 1, ... | {"states": [0, 1], "expectation_value": -12.813451799785607, "params": [0.0031000000000000003, 0.2921, 0.3138, 0.056, 0.0038, 0.2922, 0.0037, 0.3047, 0.0036000000000000003, -0.24450000000000002, 0.0036000000000000003, 0.2933, 0.0025, 0.317, 0.4083, 0.005, 0.0019, 0.2942, 0.31820000000000004, 0.0886, -0.0006000000000000... | -1.25 * (Z(0) @ Z(3)) + -1.5 * (Z(4) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(1) @ Z(6)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(7) @ Z(3)) + 4.25 * (Z(7) @ Z(0)) + 1.5 * Z(3) + -0.25 * Z(0) + -3.25 * Z(4) + -1.5 * Z(5) + -0.25... | 3 | 8 | 4 | {"smallest_eigenvalues": [-19.5, -19.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["11111110", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0031) q[0];
rz(0.2921) q[0];
rx(0.3138) q[1];
rz(0.056) q[1];
rx(0.0038) q[2];
rz(0.2922) q[2];
rx(0.0037) q[3];
rz(0.3047) q[3];
rx(0.0036) q[4];
rz(-0.2445) q[4];
rx(0.0036) q[5];
rz(0.2933) q[5];
rx(0.0025) q[6];
rz(0.317) q[6];
rx(0.4083) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
a6b55510d801a5adbb40af21b637103f | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 4, "target": 5}, {"source": ... | {"states": [511, 255], "expectation_value": -12.194621309803667, "params": [[[0.0018000000000000002, -0.003], [-1.572, 1.5698], [-0.0025, 1.5658], [-0.0022, 0.0028], [0.0023, -0.0023], [0.002, 0.003], [0.002, 0.0018000000000000002], [0.0032, 0.0023], [1.7011, -0.0028], [0.0025, 0.0028]]], "bitstrings": ["1000000000", "... | 0.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(5) @ Z(8)) + -2.0 * (Z(6) @ Z(8)) + 0.5 * (Z(6) @ Z(5)) + -2.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(9) @ Z(8)) + -1.5 * (Z(9) @ Z(7)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.5 * Z(3) + 0.5 * Z(2... | 15 | 10 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["1100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0018) q[0];
ry(-1.572) q[1];
ry(-0.0025) q[2];
ry(-0.0022) q[3];
ry(0.0023) q[4];
ry(0.002) q[5];
ry(0.002) q[6];
ry(0.0032) q[7];
ry(1.7011) q[8];
ry(0.0025) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 2} | {"circuits": [], "gradients": []} |
b91502863ddffd170e0084616022b75f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 6},... | {"states": [2047, 1567], "expectation_value": -0.5275381648970461, "params": [[0.031100000000000003], [-0.0347]], "bitstrings": ["00000000000", "00111100000"], "total_optimization_steps": 10, "probabilities": [0.0005795557694840652, 0.0005843064848135356], "optimization_time": 3.0655107498168945} | -1.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + -2.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(7)) + -2.5 * (Z(8) @ Z(6)) + 1.0 * (Z(9) @ Z(7)) + -2.5 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + -2.5 * (Z(10) @ Z(7)) + 1.5 * (Z(10) @ Z(6)) + -... | 1 | 11 | 1 | {"smallest_eigenvalues": [-24.0, -24.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -23.0, "smallest_bitstrings": ["00111100000", "00110000000"]} | 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(-0.0622) q[0];
cx q[1], q[0];
cx q[3], q[2];
rz(-0.1244) q[2];
cx q[3], q[2];
cx q[3], q[5];
rz(0.0311) q[5];
cx q[3], q[5];
cx q[2], q[5];
rz(-0.1555)... | 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[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], ... | {"node": 5} | {"circuits": [], "gradients": []} |
43f346f2449aaad74bd3d1617b2cab32 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": ... | {"states": [86, 89], "expectation_value": -0.5007590493513951, "params": [[-0.0575, -0.0726, -0.064, -0.0375], [0.0541, 0.0726, 0.0724, 0.0637]], "bitstrings": ["0101001", "0100110"], "total_optimization_steps": 10, "probabilities": [0.01648878575926152, 0.016514727672007866], "optimization_time": 7.478444576263428} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(5)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(2) @ Z(5)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.25, -3.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.25, "smallest_bitstrings": ["0100110", "0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0288) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0288) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0288) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0288) q[0];
cx q[1], 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": []} |
-2976835622803628861 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 9, 4, 7], [8, 1, 6, 7], [0, 6], [8, 2, 3, 4], [9, 5]]} | {"states": [886, 950], "expectation_value": -0.703500712999448, "params": [[0.47200000000000003], [-0.43410000000000004]], "bitstrings": ["0010001001", "0001001001"], "total_optimization_steps": 50, "probabilities": [0.0034912104147137176, 0.003491210414713718], "optimization_time": 3.53308367729187} | 0.08333333333333333 * (Z(0) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(9)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(9)) + 0.08333333333333333 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(7) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(4)) + 0.08333333333333333 * (Z(8) @ Z(7)) + 0.08333333333333... | 1 | 10 | 1 | {"smallest_eigenvalues": [-1.75, -1.75, -1.75, -1.75, -1.75, -1.75], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.666666666666667, "smallest_bitstrings": ["0010001001", "1110010000", "1101010000", "0001001001", "1000010010", "0000111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(0.0787) q[0];
cx q[9], q[0];
cx q[9], q[4];
rz(0.0787) q[4];
cx q[9], q[4];
cx q[0], q[4];
rz(0.0787) q[4];
cx q[0], q[4];
cx q[9], q[7];
rz(0.0787) q[7];
cx q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[9], q[0];
rz(x0) q[0];
cx q[9], q[0];
cx q[9], q[4];
... | null | {"circuits": [], "gradients": []} |
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