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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
9c1e6a6a43ea5cf81c507864c17a72e6 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"s... | {"states": [0, 8191], "expectation_value": -27.709906142200875, "params": [[[0.0022, 1.6091], [0.0021000000000000003, 0.0022], [0.0019, 0.0021000000000000003], [0.0024000000000000002, 0.0022], [0.002, 0.0016], [0.002, 0.0018000000000000002], [0.0021000000000000003, 0.0018000000000000002], [0.0035, 0.0026000000000000003... | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(0)) + -2.5 * (Z(1) @ Z(2)) + 1.0 * (Z(1) @ Z(0)) + -2.5 * (Z(1) @ Z(3)) + -1.5 * (Z(4) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(12)) + -2.5 * (Z(9) @ Z(12)) +... | 15 | 13 | 1 | {"smallest_eigenvalues": [-33.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -31.0, "smallest_bitstrings": ["0000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.0022) q[0];
ry(0.0021) q[1];
ry(0.0019) q[2];
ry(0.0024) q[3];
ry(0.002) q[4];
ry(0.002) q[5];
ry(0.0021) q[6];
ry(0.0035) q[7];
ry(0.0034) q[8];
ry(-0.0026) q[9];
ry(-0.003) q[10];
ry(0.0021) q[11];
ry(0.0023) q[12];
cx q[12], q[0];
cx q[11], q[12];
cx... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"node": 1} | {"circuits": [], "gradients": []} |
4c1e4ee59f8117578a5fab04915fd603 | 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": [692, 724], "expectation_value": -43.14386196736261, "params": [[[0.2806, 0.2097], [0.281, 0.2456], [0.49970000000000003, 0.29050000000000004], [0.4999, 0.3519], [0.2889, 0.2772], [0.5008, 0.1341], [0.4666, 0.268], [0.2932, 0.49620000000000003], [0.4958, 0.5011], [0.3524, 0.1291]], [[0.2806, 0.2733], [0.2775... | 6.5 * (Z(2) @ Z(1)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(3) @ Z(0)) + 6.5 * (Z(4) @ Z(2)) + 6.5 * (Z(4) @ Z(3)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(7) @ Z(6)) + 6.5 * (Z(8) @ Z(7)) + 11.0 * Z(1) + 16.5 * Z(2) + 12.5 * Z(0) + 9.0 * Z(3) + 2.5 * Z(4) + 5.5 * Z(5) + 3.5 * Z(6) + 10.0 *... | 15 | 10 | 4 | {"smallest_eigenvalues": [-91.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -88.0, "smallest_bitstrings": ["0100101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.2806) q[0];
ry(0.281) q[1];
ry(0.4997) q[2];
ry(0.4999) q[3];
ry(0.2889) q[4];
ry(0.5008) q[5];
ry(0.4666) q[6];
ry(0.2932) q[7];
ry(0.4958) q[8];
ry(0.3524) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
cde6b48ed870286595c1455af7aff8bd | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}, {"source": 2, "target": 3}]} | {"states": [2910, 3421], "expectation_value": -2.817331632353917, "params": [[0.10790000000000001, 0.1057, -0.09820000000000001, -0.15940000000000001], [-0.112, -0.1158, -0.1306, 0.1353]], "bitstrings": ["010010100001", "001010100010"], "total_optimization_steps": 20, "probabilities": [0.0013273195617082931, 0.00132731... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 12 | 4 | {"smallest_eigenvalues": [-6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25, -6.25], "number_of_smallest_eigenvalues": 24, "first_excited_energy": -5.25, "smallest_bitstrings": ["100100010100", "100100010001", ... | 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[1], q[0];
rz(0.1079) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1079) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1079) q[2];
cx q[0], q[2];
cx q[0], q[6];
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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
839e49943c280a605024f1eaa388ffdd | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capaci... | {"states": [3, 1], "expectation_value": -0.30526297057423374, "params": [[-0.07830000000000001], [0.0785]], "bitstrings": ["111100", "111110"], "total_optimization_steps": 10, "probabilities": [0.019527684371898564, 0.02044229669072348], "optimization_time": 1.2933731079101562} | -0.75 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + 1.5 * (Z(5) @ Z(0)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(2)) + 0.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + 1.5 * Z(5) + -1.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["111110"]} | 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(0.1175) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0392) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0783) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.2349) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(0.156... | 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[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
b76f4835adbc5893d8d9f863102f37c3 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 17, "source": 1, "target": 7}, {"weight": 14, "source": 1, "target": 9}, {"weight":... | {"states": [980, 468], "expectation_value": -64.37754046419742, "params": [1.0067000000000002, 0.0019, 0.9969, 0.0033, 0.9991000000000001, 0.002, 0.9913000000000001, 0.0045000000000000005, 1.0054, -0.0038, 0.9949, 0.0089, 1.0024, 0.0033, 0.9937, 0.0058000000000000005, 0.9984000000000001, 0.0047, -0.3126, 0.0066, 1.0055... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(5)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(8) @ Z(1)) + 5.5 * (Z(8) @ Z(7)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(3)) + 19.5 * Z(1) + 6.0 * Z(0) + 18.5 * ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-103.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -87.0, "smallest_bitstrings": ["1000101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(1.0067) q[0];
rz(0.0019) q[0];
rx(0.9991) q[1];
rz(0.002) q[1];
rx(1.0054) q[2];
rz(-0.0038) q[2];
rx(1.0024) q[3];
rz(0.0033) q[3];
rx(0.9984) q[4];
rz(0.0047) q[4];
rx(1.0055) q[5];
rz(-0.0053) q[5];
rx(0.994) q[6];
rz(-0.0027) q[6];
rx(0.9991) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
96aa688a41503b0eea4bda42198f6281 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 7}, {"source": 2, "ta... | {"states": [181, 53], "expectation_value": -2.819462661707389, "params": [0.5077, 0.15230000000000002, -0.0041, 0.40840000000000004, 0.5629000000000001, 0.11, 0.6088, 0.0135, 0.5862, 0.2803, 0.5939, 0.3355, -0.0131, 0.3355, 0.6022000000000001, 0.1572, 0.5055000000000001, 0.1855, -0.0074, 0.4147, 0.5574, 0.1393, 0.60830... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -1.5 * Z(6) + 0.0 * Z(3) + -0.5 * Z(7) + -0.5 * Z(4) + 0.0 * Z(5) | 3 | 8 | 3 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.5, "smallest_bitstrings": ["11000110", "01100110", "11001010", "01101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5077) q[0];
rz(0.1523) q[0];
rx(-0.0041) q[1];
rz(0.4084) q[1];
rx(0.5629) q[2];
rz(0.11) q[2];
rx(0.6088) q[3];
rz(0.0135) q[3];
rx(0.5862) q[4];
rz(0.2803) q[4];
rx(0.5939) q[5];
rz(0.3355) q[5];
rx(-0.0131) q[6];
rz(0.3355) q[6];
rx(0.6022) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
eff46f0cf37b305d8fe83bab80f878b4 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 5}, {"source": 2, "target": 7}, {"source": 2, "target": 9}, {"source": 3, "target":... | {"states": [0, 384], "expectation_value": -3.5553527650716013, "params": [[-0.0483], [0.060200000000000004]], "bitstrings": ["111111111", "001111111"], "total_optimization_steps": 10, "probabilities": [0.0033895368677652076, 0.0034670168789999916], "optimization_time": 3.642214298248291} | -1.0 * (Z(0) @ Z(1)) + -3.5 * (Z(2) @ Z(6)) + -3.5 * (Z(8) @ Z(6)) + -4.0 * (Z(8) @ Z(2)) + -3.5 * (Z(3) @ Z(6)) + 1.5 * (Z(3) @ Z(2)) + -4.0 * (Z(3) @ Z(8)) + -4.0 * (Z(4) @ Z(6)) + 1.5 * (Z(4) @ Z(2)) + -4.0 * (Z(4) @ Z(8)) + 1.5 * (Z(4) @ Z(3)) + -3.5 * (Z(5) @ Z(6)) + 1.5 * (Z(5) @ Z(2)) + -4.0 * (Z(5) @ Z(8)) + 1.... | 1 | 9 | 1 | {"smallest_eigenvalues": [-41.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -39.5, "smallest_bitstrings": ["001111111"]} | 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(0.0966) q[0];
cx q[1], q[0];
cx q[6], q[2];
rz(0.3381) q[2];
cx q[6], q[2];
cx q[6], q[8];
rz(0.3381) q[8];
cx q[6], q[8];
cx q[2], q[8];
rz(0.3864) q[8];
cx q[2], q[8];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1],... | {"node": 5} | {"circuits": [], "gradients": []} |
c0298473ff578e743a7bebe70d7bc35e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [60, 54], "expectation_value": -3.9991448153022673, "params": null, "bitstrings": ["1000011", "1001001"], "total_optimization_steps": 34, "probabilities": [0.06552908863862121, 0.9338662203755976], "optimization_time": 29.885200023651123} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + -0.5 * Z(1) + -1.0 * Z(0) + 0.0 * Z(4) + -1.0 * Z(5) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001001", "1000011"]} | 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[0];
ry(-1.5681) q[6];
ry(1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
cry(-1.0342) q[5], q[3];
ry(0.7003) q[5];
ry(-0.4549) q[3];
cry(0.4963) q[4], q[5];
cry(-0.3789) q[4], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) 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", ... |
-508403983969535921 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[2, 4], [2, 3], [0, 1], [0, 3]]} | {"states": [17, 20], "expectation_value": -1.668623041917047, "params": null, "bitstrings": ["01110", "01011"], "total_optimization_steps": 26, "probabilities": [0.06079622099788939, 0.7685181518468844], "optimization_time": 58.06145453453064} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100", "01011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cry(-1.0342) q[2], q[3];
cry(-1.0342) q[0], q[1];
ry(1.0293) q[0];
ry(-0.6992) q[1];
cry(-1.0342) q[2], q[4];
ry(0.7625) q[2];
cry(-0.7986) q[0], q[3];
cry(0.3992) q[2], q[0];
cry(0.3752) q[0], q[2];
ry(-0.6838) q[4];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\ncry(-1.0342) q[2], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nq... |
b2a86e79e509d0d76748a475959a4d60 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [42, 46], "expectation_value": -1.6248820152843804, "params": [-0.0027, 0.0061, 0.992, 0.003, 1.6133000000000002, 0.0027, 1.0269000000000001, 0.0098, 1.6097000000000001, 0.005200000000000001, 1.5977000000000001, 0.0047, 1.6067, 0.002, 0.0026000000000000003, 0.0036000000000000003, 0.0016, 0.0044, 0.0026000000... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(2) @ Z(5)) + 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) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.625, -3.625, -3.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.625, "smallest_bitstrings": ["11000101", "10011001", "11010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0027) q[0];
rz(0.0061) q[0];
rx(0.992) q[1];
rz(0.003) q[1];
rx(1.6133) q[2];
rz(0.0027) q[2];
rx(1.0269) q[3];
rz(0.0098) q[3];
rx(1.6097) q[4];
rz(0.0052) q[4];
rx(1.5977) q[5];
rz(0.0047) q[5];
rx(1.6067) q[6];
rz(0.002) q[6];
rx(0.0026) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5255497973117942882 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 2, 3, 7], [1, 3, 4], [1, 3, 5, 6, 7], [2, 6], [0, 3, 5, 6], [1, 2, 4, 5, 7], [0, 1, 6], [0, 1, 4, 7], [1, 4, 6], [3, 4, 6, 7], [2, 3, 4, 7]]} | {"states": [220, 252], "expectation_value": -1.607441374946423, "params": [1.2805, 0.0047, 1.2828000000000002, 0.0027, 1.2663, 0.0054, 1.2808000000000002, -0.0005, 0.7991, 0.1184, 0.7987000000000001, 0.0014, 1.2768000000000002, -0.0166, 1.2816, 0.010700000000000001, 1.2899, 0.0247, 1.296, 0.0094, 1.2914, 0.174000000000... | 0.08333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.3 * (Z(7) @ Z(3)) + 0.05 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(0)) + 0.21666666666666667 * (Z(1) @ Z(3)) + 0.18333333333333335 * (Z... | 8 | 8 | 1 | {"smallest_eigenvalues": [-2.7333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.700000000000001, "smallest_bitstrings": ["00000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.2805) q[0];
rz(0.0047) q[0];
rx(1.2663) q[1];
rz(0.0054) q[1];
rx(0.7991) q[2];
rz(0.1184) q[2];
rx(1.2768) q[3];
rz(-0.0166) q[3];
rx(1.2899) q[4];
rz(0.0247) q[4];
rx(1.2914) q[5];
rz(0.174) q[5];
rx(0.5354) q[6];
rz(0.3944) q[6];
rx(0.6556) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
c57625ce2de67c1086ad1c24582707c2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 1, "source": 2, "target": 5}, {"capaci... | {"states": [17, 1], "expectation_value": -3.1295730861972038, "params": [[[0.0031000000000000003, 0.36310000000000003], [0.4627, -0.007500000000000001], [0.001, 0.4677], [0.46540000000000004, 0.005], [0.0053, 0.40800000000000003], [0.6104, 0.0034000000000000002]], [[0.004, 0.3619], [0.4656, -0.0074], [0.006200000000000... | -0.75 * (Z(0) @ Z(2)) + -0.5 * (Z(1) @ Z(2)) + -0.25 * (Z(4) @ Z(2)) + -0.25 * (Z(5) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.75 * Z(2) + -0.25 * Z(0) + 0.5 * Z(1) + -0.75 * Z(4) + 0.75 * Z(5) + 0.5 * Z(3) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.25, "smallest_bitstrings": ["111110", "111010", "101010", "101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0031) q[0];
rz(0.3631) q[0];
rx(0.4627) q[1];
rz(-0.0075) q[1];
rx(0.001) q[2];
rz(0.4677) q[2];
rx(0.4654) q[3];
rz(0.005) q[3];
rx(0.0053) q[4];
rz(0.408) q[4];
rx(0.6104) q[5];
rz(0.0034) q[5];
rx(0.004) q[0];
rz(0.3619) q[0];
rx(0.4656) q[1];
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[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
16aed950661228e73cbfe28c55f52a27 | 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": 1, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 6}, {"weight": 17, "source": 0, "tar... | {"states": [252, 248], "expectation_value": -13.74682233414446, "params": [[-0.0292], [0.0737]], "bitstrings": ["100000011", "100000111"], "total_optimization_steps": 10, "probabilities": [0.003635399924416039, 0.00424812661130313], "optimization_time": 2.333258628845215} | 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(3) @ Z(2)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-94.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -81.0, "smallest_bitstrings": ["100000111"]} | 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(-0.2628) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2628) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2628) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2628) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
dd5fc1f9f83fb22d203285a7c9a347ac | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "target": 5}, {"source": 6, "target":... | {"states": [0, 507], "expectation_value": -6.739821325867181, "params": [0.3053, 0.17450000000000002, 0.2503, 0.38920000000000005, 0.3538, 0.0198, 0.2131, 0.5296000000000001, 0.2894, 0.1615, 0.26180000000000003, 0.43320000000000003, 0.3432, -0.0221, 0.23550000000000001, 0.45420000000000005, 0.4156, -0.10260000000000001... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(7) @ Z(8)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 0.5 * Z(8) + 0.5 * Z(7) + -0.5 * Z(6) | 6 | 9 | 4 | {"smallest_eigenvalues": [-10.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.5, "smallest_bitstrings": ["000000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3053) q[0];
rz(0.1745) q[0];
rx(0.3538) q[1];
rz(0.0198) q[1];
rx(0.2894) q[2];
rz(0.1615) q[2];
rx(0.3432) q[3];
rz(-0.0221) q[3];
rx(0.4156) q[4];
rz(-0.1026) q[4];
rx(0.4328) q[5];
rz(-0.0582) q[5];
rx(-0.3888) q[6];
rz(0.7805) q[6];
rx(-0.4885) 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": 7} | {"circuits": [], "gradients": []} |
b112e2ea9564e5424aa1ebbe167f5e45 | 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": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, ... | {"states": [7, 5], "expectation_value": -4.0094061793112985, "params": [[-0.14750000000000002, -0.1458, -0.1264, -0.1028], [0.16790000000000002, 0.164, 0.1477, 0.13090000000000002]], "bitstrings": ["11111000", "11111010"], "total_optimization_steps": 20, "probabilities": [0.061231638642198195, 0.07479861043638233], "op... | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(3) @ Z(0)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(5)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(4)) + 1.25 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(5)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.5 * Z(3) + 1.75 * Z(5) + -1.0 * Z... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["11111000", "11111010"]} | 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(0.1475) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.0738) q[3];
cx q[0], q[3];
cx q[0], q[5];
rz(0.0738) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.1475) q[5];
cx q[3], q[5];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
9f6a09f991bf68484362b3872f6239a7 | 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": 4, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 5... | {"states": [1, 9], "expectation_value": -2.5788865920947996, "params": [[0.024200000000000003, 0.061700000000000005, 0.0685, 0.06770000000000001], [0.024, -0.0364, -0.0546, -0.0516]], "bitstrings": ["1111110", "1110110"], "total_optimization_steps": 10, "probabilities": [0.01996982388624838, 0.020370972731541308], "opt... | -1.0 * (Z(0) @ Z(1)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + 2.0 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(3)) + -1.5 * (Z(2) @ Z(3)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -2.0 * (Z(4) @ Z(2)) + -1.25 * Z(1) + -... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.5, -10.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.5, "smallest_bitstrings": ["1110110", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0484) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0484) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0363) q[5];
cx q[0], q[5];
cx q[1], q[3];
rz(-0.0121) q[3];
cx q[1], q[3];
cx q[5], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
9e8a866d2c0011b6946d4c64e758f31c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 4}, {"weight": 17, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [188, 124], "expectation_value": -37.8184138275246, "params": null, "bitstrings": ["01000011", "10000011"], "total_optimization_steps": 100, "probabilities": [0.1356070492565516, 0.23366831123903148], "optimization_time": 155.3041479587555} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(1)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(0)) + 3.5 * (Z(5) @ Z(2)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-77.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -70.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(9.9081) q[4];
ry(6.5925) q[3];
ry(-9.0161) q[1];
ry(15.9361) q[2];
ry(0.9644) q[5];
cry(-22.0311) q[5], q[1];
cry(62.7075) q[5], q[3];
cry(-3.4209) q[5], q[4];
cry(1.4208) q[5], q[2];
ry(5.0533... | null | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(9.9081) 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[... |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -0.20687303617465008, "params": [[0.06770000000000001], [-0.0574]], "bitstrings": ["111110", "110000"], "total_optimization_steps": 10, "probabilities": [0.018118948884791708, 0.018241260116443767], "optimization_time": 1.3819098472595215} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0677) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0677) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(-0.0677) q[2];
cx q[1], q[2];
cx q[4], q[3];
rz(-0.1693) q[3];
cx q[4], q[3];
cx q[2], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4426156142540857195 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 6, 7], [1, 2], [2, 5, 7], [0, 5], [4, 6], [2, 3], [0, 3, 6], [5, 6], [0, 2], [0, 1, 6], [1, 3]]} | {"states": [163, 195], "expectation_value": -0.07628956722351213, "params": [[0.06720000000000001], [-0.0572]], "bitstrings": ["01011100", "00111100"], "total_optimization_steps": 10, "probabilities": [0.004210890452423226, 0.004254250600938197], "optimization_time": 2.4074594974517822} | 0.3333333333333333 * (Z(3) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(6)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(6)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.16666666666666666 * (Z(5) @ Z(7)) + 0.166... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["00111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(0.0448) q[3];
cx q[6], q[3];
cx q[6], q[7];
rz(0.0224) q[7];
cx q[6], q[7];
cx q[3], q[7];
rz(0.0224) q[7];
cx q[3], q[7];
cx q[6], q[1];
rz(0.0224) q[1];
cx q[6], q[1];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[6], q[3];
rz(x0) q[3];
cx q[6], q[3];
cx q[6], q[7];
rz(x1) q[7];
cx q[6], q[7];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
4f1459804fbfe90f6b55ff417ea39134 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [88, 76], "expectation_value": -6.496464044051011, "params": null, "bitstrings": ["0100111", "0110011"], "total_optimization_steps": 29, "probabilities": [0.06634810230108766, 0.9303665171777402], "optimization_time": 27.42992639541626} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + -2.5 * Z(1) ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.5, -6.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.5, "smallest_bitstrings": ["0100111", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[1];
ry(-1.5708) q[6];
ry(-1.5681) q[5];
ry(1.4449) q[0];
ry(1.4449) q[3];
cry(-1.0342) q[4], q[2];
ry(0.7003) q[4];
ry(-0.4549) q[2];
cry(0.4963) q[3], q[4];
cry(-0.3789) q[3], q[2];
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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
d4330ca50c7e11a2ef645e484effbde2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 4, "s... | {"states": [157, 153], "expectation_value": -15.480870537391183, "params": null, "bitstrings": ["101100010", "101100110"], "total_optimization_steps": 65, "probabilities": [0.11323638153713352, 0.8867634157811779], "optimization_time": 126.60103917121887} | -1.25 * (Z(0) @ Z(2)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(0)) + 2.5 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(7)) + -1.25 * (Z(1) @ Z(5)) + -1.5 * (Z(1) @ Z(7)) + -1.5 * (Z(1) @ Z(8)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.75 * (Z(6) @ Z(5)) + -1.25 * (Z(6) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-16.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.5, "smallest_bitstrings": ["101100110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5709) q[6];
ry(1.5708) q[4];
cry(1.5708) q[4], q[1];
cry(1.5708) q[1], q[5];
cry(1.5708) q[1], q[8];
cry(-1.5708) q[8], q[0];
cry(-1.5708) q[1], q[2];
ry(-1.5681) q[3];
ry(-1.5681) q... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5709) 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] = ... |
3257eb74c5059c972aa1cf1f57c7841b | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [1876, 1881], "expectation_value": -3.1278333923168997, "params": [[[-0.0026000000000000003, 0.005], [0.7882, 0.014], [0.7951, 0.0383], [0.114, 0.0354], [0.7663000000000001, 0.0971], [0.1837, 0.1456], [0.5817, 0.4455], [0.5163, 0.1877], [0.15560000000000002, 0.38130000000000003], [0.7837000000000001, 0.5472]... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.75, "smallest_bitstrings": ["00011001010", "00010110010", "01010100010", "01000100110", "00100100110", "00101000110", "10000100110", "100... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0026) q[0];
ry(0.7882) q[1];
ry(0.7951) q[2];
ry(0.114) q[3];
ry(0.7663) q[4];
ry(0.1837) q[5];
ry(0.5817) q[6];
ry(0.5163) q[7];
ry(0.1556) q[8];
ry(0.7837) q[9];
ry(0.4717) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ffe7b5f4782407d3e85a3f55af5889c1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 6, "s... | {"states": [256, 183], "expectation_value": -2.0186394467824016, "params": [[0.0687, 0.064], [-0.0579, -0.0644]], "bitstrings": ["011111111", "101001000"], "total_optimization_steps": 10, "probabilities": [0.004229614917220969, 0.004415764074396405], "optimization_time": 3.5329318046569824} | -0.5 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(2)) + -1.75 * (Z(1) @ Z(6)) + -1.75 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(6)) + -1.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.25 * (Z(5) @ Z(3)) + 2.0 * (Z(8) @ Z(0)) + -1.75 * (Z(8) @ Z(3)) + -0.75 * (Z(7) @ Z(4)) + -1.25 * Z(2) + -0.25 * Z(0) + -1.25 ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-12.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["101001000"]} | 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(-0.0687) q[0];
cx q[2], q[0];
cx q[0], q[6];
rz(-0.1717) q[6];
cx q[0], q[6];
cx q[2], q[1];
rz(-0.1031) q[1];
cx q[2], q[1];
cx q[6], q[1];
rz(-0.2404) q[1];
cx q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
2192688870611528063 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 5], [3, 6], [2, 6], [0, 7], [3, 4], [2, 4]]} | {"states": [15, 53], "expectation_value": -2.573199395730267, "params": null, "bitstrings": ["11110000", "11001010"], "total_optimization_steps": 68, "probabilities": [0.16266954330078137, 0.5488071539967917], "optimization_time": 72.23541498184204} | 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + 0.0 * Z(1) + 0.0 * Z(6) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(7) + 0.0 * Z(0) + 0.0 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["01001011", "10110100", "00110101", "10001110", "01110001", "11001010", "00001111", "11110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[3], q[4];
cry(-1.0342) q[3], q[6];
cry(1.3762) q[3], q[2];
ry(0.6284) q[3];
cry(-0.6942) q[2], q[4];
cry(-0.6942) q[2], q[6];
cry(0.4129) q[2], q[3];
cry(-1.0342) q[5], q[1];
cry(-1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
b3430a7a5a7846c97441f35820d47c84 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [10, 97], "expectation_value": -0.9126535924023671, "params": [[-0.06760000000000001, -0.07690000000000001], [0.0689, 0.0718]], "bitstrings": ["1110101", "0011110"], "total_optimization_steps": 10, "probabilities": [0.011209085996637946, 0.012258213313755704], "optimization_time": 3.632669448852539} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(-0.0676) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0676) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0676) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0676) q[4];
cx q[0], 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | null | {"circuits": [], "gradients": []} |
a5f43532e1723f6087760e0dbad85b40 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [56, 184], "expectation_value": -2.821208321170676, "params": [0.8052, -0.0045000000000000005, 0.0146, -0.219, 0.8061, -0.0034000000000000002, 0.7965, 0.006, 0.796, 0.0609, 0.5843, 0.0881, 0.7854, 0.0263, -0.0142, 0.396, 0.8068000000000001, 0.0386, 0.0258, -0.2364, 0.8098000000000001, -0.003, 0.7963, -0.0149... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.0 * Z(3) + -0.5 * Z(5) + -1.5 * Z(7) + 0.0 * Z(2) + -0.5 * Z(4) + 0.0 * Z(6) | 4 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.5, "smallest_bitstrings": ["01011001", "01010011", "01000111", "01111000", "01001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8052) q[0];
rz(-0.0045) q[0];
rx(0.0146) q[1];
rz(-0.219) q[1];
rx(0.8061) q[2];
rz(-0.0034) q[2];
rx(0.7965) q[3];
rz(0.006) q[3];
rx(0.796) q[4];
rz(0.0609) q[4];
rx(0.5843) q[5];
rz(0.0881) q[5];
rx(0.7854) q[6];
rz(0.0263) q[6];
rx(-0.0142) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
7450469055704946013 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[0, 9, 11], [2, 3, 7, 8, 9, 10], [3, 4, 7, 9, 10, 11], [0, 3, 5, 10, 12], [8, 3, 4, 6], [2, 3, 4], [0, 10, 6], [0, 2, 12], [0, 4, 5], [0, 3, 4], [2, 3, 5, 7, 10, 11], [1, 7], [3, 6, 7], [11, 6], [0, 10, 7], [2, 11, 12, 5], [8, 2, 10, 12], [2, 7, 8, 9,... | {"states": [7901, 7900], "expectation_value": -6.099405925134046, "params": [[[2.4962, 0.0017000000000000001, 0.0067, 0.0022], [0.0019, -0.38120000000000004, 1.5690000000000002, 0.0026000000000000003], [2.4881, 0.0027, 0.0049, 0.003], [-0.0056, -0.012700000000000001, 1.5688, 0.0082], [1.0676, 0.0054, 0.0056, 0.00450000... | 0.21666666666666667 * (Z(0) @ Z(9)) + 0.3333333333333333 * (Z(11) @ Z(9)) + 0.16666666666666666 * (Z(11) @ Z(0)) + 0.26666666666666666 * (Z(2) @ Z(9)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.18333333333333332 * (Z(2) @ Z(11)) + 0.18333333333333332 * (Z(3) @ Z(9)) + 0.35 * (Z(3) @ Z(0)) + 0.13333333333333333 * (Z(3) @... | 12 | 13 | 1 | {"smallest_eigenvalues": [-7.433333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.416666666666666, "smallest_bitstrings": ["0000100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(2.4962) q[0];
rz(0.0017) q[0];
ry(0.0019) q[1];
rz(-0.3812) q[1];
ry(2.4881) q[2];
rz(0.0027) q[2];
ry(-0.0056) q[3];
rz(-0.0127) q[3];
ry(1.0676) q[4];
rz(0.0054) q[4];
ry(0.623) q[5];
rz(-0.0042) q[5];
ry(2.502) q[6];
rz(0.0078) q[6];
ry(0.6264) 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": []} |
-6241743977296484001 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[10, 4, 6], [8, 1, 10, 9], [1, 5, 8, 9, 12], [0, 4, 8, 10, 11, 12], [0, 1, 6, 7, 10, 11, 12], [4, 5, 7, 9, 12], [0, 1, 4, 7, 9, 11], [8, 2, 10, 6], [0, 3, 4, 6, 7, 9, 12], [0, 1, 2, 3, 4, 10, 12], [1, 10, 5], [1, 2, 3, 5, 6, 7, 8], [0, 3, 4, 7, 8, 9, ... | {"states": [7162, 7161], "expectation_value": -7.018549970734376, "params": [[[0.7836000000000001, -0.0019], [3.1392, 0.0059], [-0.0017000000000000001, 0.0023], [-0.7258, 3.1448], [-0.0017000000000000001, 0.0024000000000000002], [-0.0027, 0.0024000000000000002], [0.2519, 0.05], [0.0134, 0.2728], [3.1367000000000003, 3.... | 0.3547619047619047 * (Z(2) @ Z(7)) + 0.21428571428571427 * (Z(9) @ Z(7)) + 0.47380952380952374 * (Z(9) @ Z(2)) + 0.3976190476190476 * (Z(11) @ Z(7)) + 0.3571428571428571 * (Z(11) @ Z(2)) + 0.14047619047619048 * (Z(11) @ Z(9)) + 0.21428571428571427 * (Z(1) @ Z(7)) + 0.3309523809523809 * (Z(1) @ Z(2)) + 0.154761904761904... | 15 | 13 | 1 | {"smallest_eigenvalues": [-7.819047619047618], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.795238095238094, "smallest_bitstrings": ["0010000000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(0.7836) q[0];
ry(3.1392) q[1];
ry(-0.0017) q[2];
ry(-0.7258) q[3];
ry(-0.0017) q[4];
ry(-0.0027) q[5];
ry(0.2519) q[6];
ry(0.0134) q[7];
ry(3.1367) q[8];
ry(0.0034) q[9];
ry(0.1759) q[10];
ry(2.6704) q[11];
ry(2.4134) q[12];
cx q[12], q[0];
cx q[11], q[12... | OPENQASM 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": []} |
b7602418da2fb1da8d0e3bf56e052253 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [436, 430], "expectation_value": -1.0618379346402913, "params": [[[0.15, -0.2084, 0.008700000000000001, 0.009300000000000001], [0.28450000000000003, 0.23240000000000002, 0.2899, -0.522], [0.6621, 0.5046, 0.0205, 0.5555], [0.6982, -0.4439, 0.6987, -0.0055000000000000005], [0.6953, 0.0847, 0.1709, 0.3259], [0.... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 11 | 10 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 11, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010101001", "1010001001", "1010000110", "0010100110", "1000011001", "1000010110", "1000010011", "1001010001", "0001110001... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.15) q[0];
rz(-0.2084) q[0];
ry(0.2845) q[1];
rz(0.2324) q[1];
ry(0.6621) q[2];
rz(0.5046) q[2];
ry(0.6982) q[3];
rz(-0.4439) q[3];
ry(0.6953) q[4];
rz(0.0847) q[4];
ry(0.6946) q[5];
rz(-0.1075) q[5];
ry(0.6922) q[6];
rz(0.01) q[6];
ry(0.4587) 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": []} |
8f10d6fbc1f6100cc49a5e43ecae2ea3 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 5}, {"weight": 13, "source": 1, "target": 6}, {"weight": 6, "source": 2, "target": 3}, {"... | {"states": [110, 109], "expectation_value": -22.48545817827931, "params": [[0.04, -0.006, -0.0621, -0.0227], [-0.052500000000000005, -0.038400000000000004, 0.0521, 0.0648]], "bitstrings": ["10010001", "10010010"], "total_optimization_steps": 10, "probabilities": [0.015931018686721213, 0.021245346724364598], "optimizati... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 9.5 * Z(1) + 1.0 * Z(0) + 6.5 * Z(2) + 14.5 * Z(4) + 3.0... | 1 | 8 | 4 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.5, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.32) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.32) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.32) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(0.32) q[5];
cx q[4], q[5];
cx q[3], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
-970846385962563872 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 1, 5], [9, 7], [3, 5, 7], [8, 2], [2, 3, 7], [3, 6], [1, 6], [2, 4], [4, 6, 7], [8, 0], [9, 4], [1, 2], [3, 4], [2, 6], [1, 9], [1, 7], [8, 6, 7], [8, 9, 3], [0, 9, 3]]} | {"states": [356, 358], "expectation_value": -2.866924107238944, "params": [[[0.0016, 0.0074, 0.0048000000000000004, 0.0068000000000000005], [1.0488, -0.0027, 1.0511000000000001, 0.0046], [0.0015, 0.0014, 0.0023, 0.0088], [0.9574, -0.0025, 1.0957000000000001, 0.005200000000000001], [1.5954000000000002, 0.003100000000000... | 0.16666666666666666 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(8)) + 0.5 * (Z(9) @ Z(1)) + 0.16666666666666666 * (Z(9) @ Z(8)) + 0.5 * (Z(7) @ Z(1)) + 0.16666666666666666 * (Z(7) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(9)) + 0.16666666666666666 * (Z(3... | 12 | 10 | 1 | {"smallest_eigenvalues": [-4.999999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.666666666666665, "smallest_bitstrings": ["1010011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0016) q[0];
rz(0.0074) q[0];
ry(1.0488) q[1];
rz(-0.0027) q[1];
ry(0.0015) q[2];
rz(0.0014) q[2];
ry(0.9574) q[3];
rz(-0.0025) q[3];
ry(1.5954) q[4];
rz(0.0031) q[4];
ry(0.2914) q[5];
rz(-0.6295) q[5];
ry(-0.0029) q[6];
rz(0.0088) q[6];
ry(1.0268) 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": []} |
b4386623ef42d59378644c97d49e9610 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 4, "source": 0, "t... | {"states": [94, 93], "expectation_value": -11.84997557027803, "params": [[-0.039400000000000004, -0.0246], [0.061200000000000004, 0.0579]], "bitstrings": ["10100001", "10100010"], "total_optimization_steps": 10, "probabilities": [0.010780173600121543, 0.013043107933083041], "optimization_time": 2.890977621078491} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 11.0 * Z(1) + 2.0 * Z(0) + 7.0 * Z(2) + 5.5 * Z(3) + 18.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-68.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.0, "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[1], q[0];
rz(-0.3546) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3546) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.3546) q[3];
cx q[2], q[3];
cx q[0], q[4];
rz(-0.3546) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
-5090129538137167010 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3], "hyperedges": [[0, 2, 3], [0, 1, 2], [1, 2, 3]]} | {"states": [15, 13], "expectation_value": -0.5045278720823612, "params": [[[2.6401000000000003, 0.005200000000000001], [2.6295, 0.007200000000000001], [1.5377, 0.0054], [2.6367000000000003, 0.0011]]], "bitstrings": ["0000", "0010"], "total_optimization_steps": 270, "probabilities": [0.3981091582055926, 0.42534204055938... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.5 * Z(2) + 0.3333333333333333 * Z(0) + 0.3333333333333333 * Z(3) + 0.3333333333333333 * Z(1) | 1 | 4 | 1 | {"smallest_eigenvalues": [-1.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.6666666666666667, "smallest_bitstrings": ["0010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
rx(2.6401) q[0];
rz(0.0052) q[0];
rx(2.6295) q[1];
rz(0.0072) q[1];
rx(1.5377) q[2];
rz(0.0054) q[2];
rx(2.6367) q[3];
rz(0.0011) q[3];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[4] c;
qubit[4] q;
rx(x0) q[0];
rz(x1) q[0];
rx(x2) q[1];
rz(x3) q[1];
rx(x4) q[2];
rz(x5) q[2];
rx(x6) q[3];
rz(x7) q[... | null | {"circuits": [], "gradients": []} |
8105489110330658096 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5, 6], [0, 1, 3], [1, 6], [1, 3, 4], [0, 5, 6], [1, 2, 4, 5], [0, 1, 4], [0, 2, 3, 6], [0, 2, 4, 6]]} | {"states": [122, 79], "expectation_value": -1.2938319447340416, "params": [[-0.3765], [0.36560000000000004]], "bitstrings": ["0000101", "0110000"], "total_optimization_steps": 40, "probabilities": [0.0256745618103995, 0.02634204206626942], "optimization_time": 1.7327098846435547} | 0.25 * (Z(2) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + 0.25 * (Z(0) @ Z(4)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.3333333333333333 * (Z(0) @ Z(6)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["0110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(-0.1883) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.1255) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.1255) q[5];
cx q[2], q[5];
cx q[4], q[6];
rz(-0.1255) q[6];
cx q[4], q[6];
cx q[2], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h ... | null | {"circuits": [], "gradients": []} |
6322410991403791746 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[5, 7], [6, 7], [5, 6], [2, 5], [0, 5], [1, 4], [3, 5]]} | {"states": [185, 241], "expectation_value": -0.05561837113993349, "params": [[-0.0635], [0.0636]], "bitstrings": ["01000110", "00001110"], "total_optimization_steps": 10, "probabilities": [0.004225127572194068, 0.004225127572194068], "optimization_time": 0.5159420967102051} | 0.5 * (Z(5) @ Z(7)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(5) + 0.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -1.5, "smallest_bitstrings": ["10111001", "10111010", "01000101", "11110001", "11110010", "11110011", "10111011", "00001101", "00001100", "00001110", "01000110... | 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[5];
rz(-0.0635) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(-0.0635) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(-0.0635) q[6];
cx q[5], q[6];
cx q[5], q[2];
rz(-0.0635) q[2];
cx q[5], q[2];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[5];
rz(x0) q[5];
cx q[7], q[5];
cx q[7], q[6];
rz(x0) q[6];
cx q[7], q[6];
cx q[5], q[6];
rz(x0) q[6];
cx q[5], q[6];
cx q[5]... | null | {"circuits": [], "gradients": []} |
936d7cf5c9c0d9de588b63bd63459921 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 6}, {"sour... | {"states": [255, 240], "expectation_value": -1.0523539729603013, "params": [[0.07200000000000001], [-0.063]], "bitstrings": ["00000000", "00001111"], "total_optimization_steps": 10, "probabilities": [0.005552034369847192, 0.005816582978101621], "optimization_time": 0.6185593605041504} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + -2.0 * (Z(4) @ Z(6)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(3) + 0.5 * Z(1)... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["00001111"]} | 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(-0.288) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.288) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.216) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.288) q[1];
cx q[2], q[1];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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(x0) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[3];
cx q[0], q... | {"node": 6} | {"circuits": [], "gradients": []} |
18eef7556e7c99f2056daf5370482c12 | 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": 2, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 5}, {"weight": 18, "source": 1, "tar... | {"states": [238, 234], "expectation_value": -82.51423088997736, "params": [0.38570000000000004, 0.5869, 1.5888, 0.0051, 1.5823, -0.0018000000000000002, 1.5818, 0.2881, 0.0609, 0.7482000000000001, 1.5834000000000001, 0.2197, 0.7791, 0.5534, 1.5889, 0.41440000000000005, -0.0022, 1.0048000000000001, 0.3871, 0.0008, 1.58, ... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-89.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -79.0, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.3857) q[0];
rz(0.5869) q[0];
rx(1.5888) q[1];
rz(0.0051) q[1];
rx(1.5823) q[2];
rz(-0.0018) q[2];
rx(1.5818) q[3];
rz(0.2881) q[3];
rx(0.0609) q[4];
rz(0.7482) q[4];
rx(1.5834) q[5];
rz(0.2197) q[5];
rx(0.7791) q[6];
rz(0.5534) q[6];
rx(1.5889) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
a45e2c80deb776df539ab538621f261c | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 4, "... | {"states": [1023, 4095], "expectation_value": -1.329340437326369, "params": [[-0.0819], [0.0751]], "bitstrings": ["110000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.0004682680531901372, 0.0004682680531901372], "optimization_time": 2.339029550552368} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + -2.0 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(9) @ Z(7)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -1.0 * (Z(10) @ Z(11)) + 1.0 * Z(1) + -1.0 * Z(0... | 1 | 12 | 1 | {"smallest_eigenvalues": [-18.0, -18.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.0, "smallest_bitstrings": ["110000000000", "000000000000"]} | 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[1], q[0];
rz(0.2457) q[0];
cx q[1], q[0];
cx q[5], q[2];
rz(0.3276) q[2];
cx q[5], q[2];
cx q[5], q[3];
rz(0.3276) q[3];
cx q[5], q[3];
cx q[2], q[3];
rz(-... | 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[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 0} | {"circuits": [], "gradients": []} |
e2466d0e59f9ae9b15e99011693e125f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [80, 82], "expectation_value": -4.571935340393883, "params": null, "bitstrings": ["0101111", "0101101"], "total_optimization_steps": 36, "probabilities": [0.13263655759363732, 0.6774959132700998], "optimization_time": 29.498170614242554} | 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(6) + 0.0 * Z(0) + -1.5 * Z(1) + -1.0 * Z(2) + -1.5 * Z(3) + -1.5 * Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0011011", "0101101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[1];
ry(-1.4449) q[5];
cry(-1.0398) q[2], q[4];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(0.7022) q[2];
ry(-0.4578) q[6];
ry(-0.4578) q[4];
cry(0.4586) q[2], q[0];
cry(0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
7319613329014537910 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 5, 6, 7, 8], [0, 2, 4, 5, 6, 7, 8], [0, 1, 3, 4, 5, 6, 7, 8], [0, 1, 2, 3, 4, 6, 7, 8], [1, 2, 4, 5, 7], [0, 1, 2, 5, 6], [0, 2, 3, 5, 7]]} | {"states": [446, 505], "expectation_value": -0.9133215532203757, "params": [[-0.48450000000000004], [0.467]], "bitstrings": ["001000001", "000000110"], "total_optimization_steps": 50, "probabilities": [0.006135146964580524, 0.00617371972513469], "optimization_time": 6.556751012802124} | 0.14166666666666666 * (Z(1) @ Z(2)) + 0.09166666666666667 * (Z(3) @ Z(2)) + 0.05952380952380952 * (Z(3) @ Z(1)) + 0.19761904761904764 * (Z(5) @ Z(2)) + 0.14166666666666666 * (Z(5) @ Z(1)) + 0.09166666666666667 * (Z(5) @ Z(3)) + 0.11547619047619047 * (Z(6) @ Z(2)) + 0.10952380952380952 * (Z(6) @ Z(1)) + 0.05952380952380... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.338095238095238], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.3202380952380952, "smallest_bitstrings": ["000000110"]} | 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(-0.1373) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.0888) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.0577) q[3];
cx q[1], q[3];
cx q[2], q[5];
rz(-0.1915) q[5];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
cb943fcd43d9f749780630b91be79506 | 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": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "s... | {"states": [255, 223], "expectation_value": -1.0171357481371475, "params": [[0.0741, 0.07970000000000001], [-0.07440000000000001, -0.08070000000000001]], "bitstrings": ["100000000", "100100000"], "total_optimization_steps": 10, "probabilities": [0.004392648303372852, 0.004765122934081497], "optimization_time": 3.960686... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(3)) + -0.75 * (Z(6) @ Z(1)) + 1.0 * (Z(8) @ Z(0)) + -0.5 * (Z(8) @ Z(2)) + -0.25 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(8)) + -0.5 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(4)) + -0.25 * (Z(7) @ Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["100100000"]} | 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(-0.037) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0741) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0741) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(-0.037) 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] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
f7f48a306b224c39407553aaba18b93b | 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}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [4095, 4079], "expectation_value": -2.303938975170785, "params": [[-0.0834], [0.0801]], "bitstrings": ["000000000000", "000000010000"], "total_optimization_steps": 10, "probabilities": [0.0006275412588024356, 0.0006444381817351164], "optimization_time": 2.454949140548706} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(3)) + -2.0 * (Z(6) @ Z(4)) + 1.0 * (Z(6) @ Z(3)) + -2.0 * (Z(6) @ Z(5)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + -2.0 * (Z(10) @ Z(8)) + 1.0 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8))... | 1 | 12 | 1 | {"smallest_eigenvalues": [-26.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.5, "smallest_bitstrings": ["000000010000"]} | 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[1], q[0];
rz(0.2502) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0834) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2502) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(... | 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[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[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 8} | {"circuits": [], "gradients": []} |
c12dc8bfc0d8e8bc2e65cda825a741ab | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 2}]} | {"states": [3, 1], "expectation_value": -0.020899636813369246, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["100", "110"], "total_optimization_steps": 10, "probabilities": [0.1268306275570294, 0.12870802860104613], "optimization_time": 0.5888874530792236} | -0.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + 0.75 * (Z(2) @ Z(0)) + -0.25 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-2.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(-0.0551) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0276) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0827) q[2];
cx q[0], q[2];
rz(-0.0276) q[1];
rz(-0.0276) q[0];
rz(0.0551) q[2];
h q[0];
rz(-0.09) q[0];
h q[0];
h q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x2) q[2];
cx q[0], q[2];
rz(x1) ... | {"source": 0, "sink": 2} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [6, 34], "expectation_value": -1.604051161976505, "params": [[0.15910000000000002], [-0.154]], "bitstrings": ["111001", "011101"], "total_optimization_steps": 20, "probabilities": [0.02500084055004233, 0.02500084055004233], "optimization_time": 1.513460397720337} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * Z(1) + -1.5 * Z(0) + -2.0 * Z(2) + -1.5 * Z(3) + ... | 1 | 6 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["111100", "111001", "011101"]} | 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(0.1591) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1591) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1591) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1591) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1591... | 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[1], q[2];
rz(x0) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(x0) q[2]... | null | {"circuits": [], "gradients": []} |
1d579e37a468bd880bcb1092848cc668 | 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": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [63, 1], "expectation_value": -1.7483477518696713, "params": [[-0.0546, -0.029900000000000003, -0.059000000000000004, -0.0375], [0.0782, 0.0386, 0.0654, 0.053200000000000004]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.016228362234399538, 0.016231984551424633],... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(6) @ Z(1)) + 0.75 * (Z(6) @ Z(0)) + -1.0 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.25 * Z(6) + -2.0 * Z(3) + 0.0 * Z(2) + 2.0 * Z(4) + 1.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -4.25, "smallest_bitstrings": ["1101010", "1101000", "1001000", "1000000", "1100000", "1001010", "1011000", "1011010", "1111100", "1111110", "11110... | 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(0.0546) q[0];
cx q[1], q[0];
cx q[1], q[6];
rz(0.0546) q[6];
cx q[1], q[6];
cx q[0], q[6];
rz(-0.0819) q[6];
cx q[0], q[6];
cx q[3], q[2];
rz(0.1092) q[2];
cx q[3], q[2];
cx q[1], 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[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
fe730bb1674e126efa753a18eada3bbc | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [1950, 1942], "expectation_value": -2.3165816220433104, "params": [0.4001, 0.0019, 0.4, 0.0022, 0.39690000000000003, 0.009000000000000001, 0.4025, 0.0038, 0.39330000000000004, 0.0067, 0.39430000000000004, 0.0046, 0.39430000000000004, 0.008, 0.397, 0.0054, 0.16490000000000002, -0.13290000000000002, 0.163, -0.... | 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(1) @ Z(2)) + 0.0625 * (Z(1) @ Z(3)) + 0.0625 * (Z(1) @ Z(4)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(2) @ Z(4)) + 0.0625 * (Z(3) @ Z(4)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 7 | 11 | 3 | {"smallest_eigenvalues": [-3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875, -3.875], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.875, "smallest_bitstrings": ["00001111000", "01000101001", "01000100011", "10000101001", "00010101001", "000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.4001) q[0];
rz(0.0019) q[0];
rx(0.3969) q[1];
rz(0.009) q[1];
rx(0.3933) q[2];
rz(0.0067) q[2];
rx(0.3943) q[3];
rz(0.008) q[3];
rx(0.1649) q[4];
rz(-0.1329) q[4];
rx(0.0006) q[5];
rz(0.3012) q[5];
rx(0.396) q[6];
rz(-0.0012) q[6];
rx(0.1779) 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": []} |
00118ab6930cdbf8ae812be8d2492bc7 | 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": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [829, 957], "expectation_value": -2.436630950994476, "params": [0.2028, 0.09000000000000001, 0.0869, 0.0806, 0.6940000000000001, 0.6977, 0.6933, 0.7014, 0.3594, 0.3891, 0.2907, 0.2788, 0.7011000000000001, 0.6980000000000001, 0.6871, 0.6862, 0.6944, 0.6866, 0.6996, 0.6947, -0.0085, -0.0078000000000000005, 0.6... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(5) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(5) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + -0.125 * (Z(5) @ Z(2) @ Z(3)) + -0.125 * (Z(5) @ Z(2) @ Z(4)) + -0.125 * (Z(5) @ Z(3) @ Z(4)) + 0.125 * (Z(5) @ Z(2) @ Z(3... | 14 | 12 | 2 | {"smallest_eigenvalues": [-3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875, -3.6875], "number_of_smallest_eig... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.2028) q[0];
ry(0.0869) q[1];
ry(0.694) q[2];
ry(0.6933) q[3];
ry(0.3594) q[4];
ry(0.2907) q[5];
ry(0.7011) q[6];
ry(0.6871) q[7];
ry(0.6944) q[8];
ry(0.6996) q[9];
ry(-0.0085) q[10];
ry(0.6961) q[11];
crx(0.4527) q[11], q[0];
crx(-0.204) q[10], q[11];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
ee68f24dce039a4cba3f3c3df952f527 | 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": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 16.422783851623535} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100100", "100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.3013) q[1], q[2];
ry(-1.0342) q[0];
cry(1.2575) q[4], q[5];
cry(-0.4867) q[5], q[0];
ry(-0.3085) q[5];
cry(0.5303) q[1], q[5];
ry(-0.5927) q[3];
cry(0.2354) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
b993a5a7e57c18bd4205eb03339dcbdb | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capaci... | {"states": [487, 355], "expectation_value": -6.709862582313065, "params": [[0.0801, 0.10020000000000001, 0.0868, 0.0587], [-0.0731, -0.1177, -0.13440000000000002, -0.15130000000000002]], "bitstrings": ["111000011000", "111010011100"], "total_optimization_steps": 20, "probabilities": [0.003971799704600439, 0.00397179970... | 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + -0.5 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(6)) + -1.0 * (Z(4) @ Z(9)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(3)) + -0.5 * (Z(10) @ Z(4)) + 0.5 * (Z(11) @ Z(9)) + 0... | 1 | 12 | 4 | {"smallest_eigenvalues": [-9.999999999999998, -9.999999999999998], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -9.666666666666666, "smallest_bitstrings": ["111010011100", "111000011000"]} | 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[9], q[5];
rz(0.0801) q[5];
cx q[9], q[5];
cx q[9], q[6];
rz(0.0801) q[6];
cx q[9], q[6];
cx q[5], q[6];
rz(0.1602) q[6];
cx q[5], q[6];
cx q[9], q[3];
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": 5} | {"circuits": [], "gradients": []} |
35ceaf2acc1635ca8c652a3a1fed479f | 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": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [1983, 1951], "expectation_value": -19.786527515097333, "params": [[[-0.0021000000000000003, 3.1438], [0.0027, 0.0023], [-0.003, -0.003], [-0.0029000000000000002, -0.0031000000000000003], [2.4159, 0.0023], [1.6329, -0.0022], [0.0026000000000000003, -0.0022], [-0.0023, -0.0021000000000000003], [-0.002, 0.002]... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -2.5 * (Z(6) @ Z(9)) + 0.5 * (Z(10) @ Z(9)) + -1.5 * (Z(10) @ Z(6)) + -2.0 * (Z(7) @ Z(9)) + 0.5 * (Z(7) @ Z(6)) + -2.0 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + -1... | 15 | 11 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "smallest_bitstrings": ["00001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.0021) q[0];
ry(0.0027) q[1];
ry(-0.003) q[2];
ry(-0.0029) q[3];
ry(2.4159) q[4];
ry(1.6329) q[5];
ry(0.0026) q[6];
ry(-0.0023) q[7];
ry(-0.002) q[8];
ry(-0.0033) q[9];
ry(-0.0021) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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]... | {"node": 6} | {"circuits": [], "gradients": []} |
82a9b805089c1b1c13eff0722cc99710 | 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": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "s... | {"states": [65, 1], "expectation_value": -0.04145661199615454, "params": [[0.009300000000000001, -0.0251], [-0.0212, 0.0172]], "bitstrings": ["110111110", "111111110"], "total_optimization_steps": 10, "probabilities": [0.0020178408482412783, 0.0020234802260627035], "optimization_time": 4.7245965003967285} | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(1)) + -0.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(4)) + -0.5 * (Z(7) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @... | 1 | 9 | 2 | {"smallest_eigenvalues": [-11.0, -11.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.0, "smallest_bitstrings": ["110111110", "111111110"]} | 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(-0.0047) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0093) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0047) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.014) q[5];
cx q[1], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
8408687869260265012 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[5, 7], [2, 4], [8, 1], [3, 7], [0, 6], [1, 7], [5, 6], [0, 2], [0, 3], [2, 3, 5], [4, 7], [1, 4, 5]]} | {"states": [232, 440], "expectation_value": -4.104065324818516, "params": null, "bitstrings": ["100010111", "001000111"], "total_optimization_steps": 58, "probabilities": [0.053049242864648, 0.8704517959402541], "optimization_time": 104.02141666412354} | 0.5 * (Z(5) @ Z(7)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(7)) + 0.16666666666666666 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(1) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(3) @ Z(7)) + 0.16666666666666666 * (Z(3) @ Z(5)) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9999999999999996, "smallest_bitstrings": ["001000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.2292) q[5];
cry(-1.4328) q[5], q[7];
cry(-1.4328) q[5], q[6];
ry(1.4371) q[1];
cry(-1.4431) q[1], q[8];
ry(1.4371) q[3];
cry(-1.2184) q[4], q[2];
ry(1.1292) q[4];
ry(-0.7294) q[2];
cr... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.2292) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
175dd49c484ef3d5fa3bd6c9677b2e54 | 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": 7, "source": 0, "target": 1}, {"weight": 11, "source": 1, "target": 3}, {"weight": 19, "source": 1, "target": 7}, {"weight": 10, "source": 2, "tar... | {"states": [215, 214], "expectation_value": -31.31787476016994, "params": [[-0.0407, -0.0001, 0.009600000000000001], [0.0762, 0.0767, 0.07050000000000001]], "bitstrings": ["100101000", "100101001"], "total_optimization_steps": 10, "probabilities": [0.010206364970113336, 0.011820034049516934], "optimization_time": 6.447... | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(5) @ Z(6)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(2) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -69.5, "smallest_bitstrings": ["100101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.3663) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3663) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.3663) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.3663) q[3];
cx q[1], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
480a390c56e3e13e55537753f027750e | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 7}, {"source": 2, "target": 3}, {"sour... | {"states": [308, 316], "expectation_value": -6.1481220928871965, "params": [[[1.0992, 0.033600000000000005, 0.0019, 0.0097], [-0.18710000000000002, -0.1519, -0.3486, 0.1107], [0.1033, -0.5656, 0.1346, 0.0568], [0.0654, -0.0734, 0.7496, 0.0061], [0.0318, -0.7114, 0.1153, 0.1423], [-0.0502, -0.1638, 1.0953000000000002, 0... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + -1.5 * Z(1) + 0.0 * Z(0) + -1.5 * ... | 11 | 9 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["011000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(1.0992) q[0];
rz(0.0336) q[0];
ry(-0.1871) q[1];
rz(-0.1519) q[1];
ry(0.1033) q[2];
rz(-0.5656) q[2];
ry(0.0654) q[3];
rz(-0.0734) q[3];
ry(0.0318) q[4];
rz(-0.7114) q[4];
ry(-0.0502) q[5];
rz(-0.1638) q[5];
ry(0.68) q[6];
rz(-0.0203) q[6];
ry(0.0032) 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": []} |
7998738815499621531 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[3, 4], [1, 11, 12], [2, 11], [8, 3, 11, 12], [10, 2, 12, 7], [0, 10, 4], [0, 1, 11], [0, 2, 7], [3, 1, 11, 7], [4, 6], [11, 5], [8, 5, 7], [0, 10, 2, 12], [8, 9]]} | {"states": [4407, 4403], "expectation_value": -4.840852710350295, "params": [[[3.1447000000000003, 0.003, 0.0006000000000000001, 0.0027], [1.5684, 0.0026000000000000003, 0.7875000000000001, 0.0039000000000000003], [0.0028, 0.0034000000000000002, 0.006500000000000001, 0.0037], [-0.45830000000000004, -0.0025, 0.2331, 0.0... | 0.5 * (Z(3) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(11) @ Z(3)) + 0.41666666666666663 * (Z(11) @ Z(1)) + 0.08333333333333333 * (Z(12) @ Z(3)) + 0.16666666666666666 * (Z(12) @ Z(1)) + 0.25 * (Z(12) @ Z(11)) + 0.5 * (Z(2) @ Z(11)) + 0.16666666666666666 * (Z(2) @ Z(12)) + 0.083333333333333... | 12 | 13 | 1 | {"smallest_eigenvalues": [-4.916666666666666, -4.916666666666666], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.833333333333334, "smallest_bitstrings": ["0111011001100", "0110110001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(3.1447) q[0];
rz(0.003) q[0];
ry(1.5684) q[1];
rz(0.0026) q[1];
ry(0.0028) q[2];
rz(0.0034) q[2];
ry(-0.4583) q[3];
rz(-0.0025) q[3];
ry(3.1438) q[4];
rz(0.0052) q[4];
ry(-0.0034) q[5];
rz(-1.7448) q[5];
ry(-0.0028) q[6];
rz(0.0019) q[6];
ry(1.0432) 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": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [255, 239], "expectation_value": -12.995380066072595, "params": [[[-0.31920000000000004, 0.18380000000000002], [0.0013000000000000002, 0.5133], [0.0019, 0.0043], [0.0019, -0.0026000000000000003], [-1.0602, 0.0014], [-0.0014, 0.0015], [0.0016, 0.0016], [-0.6204000000000001, -0.6295000000000001], [-0.0154, 0.0... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 15 | 9 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.3192) q[0];
ry(0.0013) q[1];
ry(0.0019) q[2];
ry(0.0019) q[3];
ry(-1.0602) q[4];
ry(-0.0014) q[5];
ry(0.0016) q[6];
ry(-0.6204) q[7];
ry(-0.0154) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
9ce9a4df2b9f5b2928b1f33f8eadc571 | 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": [95, 91], "expectation_value": -101.24880768772681, "params": [0.0006000000000000001, 0.0076, -0.0047, 0.0025, 0.004200000000000001, -0.0008, 0.0027, -0.0002, 0.5234, 0.519, 0.1565, 0.149, 0.5157, 0.503, 0.5386000000000001, 0.444, 0.1688, 0.168, 0.5419, 0.5269, 0.4686, 0.44210000000000005, -0.0007, 0.0051, -... | 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(2) @ Z(6)) + 7.0 * (Z(5) @ Z(6)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(8) @ Z(4)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + 7.0 * (Z(1) @ Z(9)) + 7.0 * (Z(10) @ Z(5)) + 7.0 * (Z(10) @ Z(7)) + -2.5 * Z(3) + 9.5 * Z(4) + 6.0 * Z(6) + -6.5 * Z(2) + 9.0 * Z(5) + 21.0 * Z(... | 14 | 11 | 3 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -100.0, "smallest_bitstrings": ["11110100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.0006) q[0];
ry(-0.0047) q[1];
ry(0.0042) q[2];
ry(0.0027) q[3];
ry(0.5234) q[4];
ry(0.1565) q[5];
ry(0.5157) q[6];
ry(0.5386) q[7];
ry(0.1688) q[8];
ry(0.5419) q[9];
ry(0.4686) q[10];
crx(-0.006) q[10], q[0];
crx(0.2618) q[9], q[10];
crx(-0.4144) 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": []} |
20a60ed013bc1976376f734be7d8d92c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 3}]} | {"states": [90, 165], "expectation_value": -0.00959697125575588, "params": [[0.0668], [-0.0728]], "bitstrings": ["10100101", "01011010"], "total_optimization_steps": 10, "probabilities": [0.004059310565245692, 0.004059310565245692], "optimization_time": 2.510763645172119} | 0.25 * (Z(0) @ Z(1)) + -0.0015625 * (Z(2) @ Z(0)) + -0.0015625 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0015625 * (Z(4) @ Z(0)) + -0.0015625 * (Z(4) @ Z(2)) + 0.0015625 * (Z(5) @ Z(1)) + -0.0015625 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0015625 * (Z(6) @ Z(0)) + 0.0015625 * (Z(6) @ Z(2)) + -0.0015625 * (Z(6) @ Z... | 5 | 8 | 1 | {"smallest_eigenvalues": [-1.00625, -1.00625, -1.00625, -1.00625, -1.00625, -1.00625], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0, "smallest_bitstrings": ["10100101", "01011010", "10010110", "01101001", "10101010", "01010101"]} | 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(0.0334) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0002) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0002) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0334) q[3];
cx q[2], q[3];
cx q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
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], q[0];
cx q[0], q[2];
rz(x1) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x1) q[3];
cx... | {"communities_size": 2, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
501477738601b9a56009fb34d8274268 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 5, "source": 2, "target": 4}, {"capaci... | {"states": [0, 27], "expectation_value": -3.3540549646650932, "params": [[-0.14650000000000002, -0.1401, -0.1197], [0.15610000000000002, 0.165, 0.16840000000000002]], "bitstrings": ["111111", "100100"], "total_optimization_steps": 20, "probabilities": [0.07711122137338264, 0.08251832480734948], "optimization_time": 2.6... | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.25 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + 2.0 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + -1.0 * Z(3) + -0.75 * Z(4) + -0.5 * Z(5) | 1 | 6 | 3 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["100000", "100100"]} | 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(0.0733) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3663) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.293) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.3663) q[4];
cx q[2], q[4];
cx q[0], q[5];
rz(-0.1465... | OPENQASM 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": []} |
-2692663721775254224 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [0, 8, 2], [2, 3, 4, 7], [8, 4], [8, 5], [3, 6]]} | {"states": [355, 99], "expectation_value": -2.3249420183442906, "params": [1.5961, -0.6138, 1.5996000000000001, 0.0001, 0.7293000000000001, -0.1366, -0.39830000000000004, 0.006500000000000001, 1.5865, -0.069, 0.7045, 0.0008, 1.5935000000000001, -0.16740000000000002, 1.4803000000000002, 0.0032, 0.5822, -0.1495, -0.1956,... | 0.5 * (Z(8) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(8)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(8)) + 0.08333333333333333 * (Z(4) @ Z(2)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(7) @ Z(2)) + 0.08333333... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.583333333333333, -2.583333333333333, -2.583333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["000000111", "000100001", "110011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5961) q[0];
rz(-0.6138) q[0];
rx(0.7293) q[1];
rz(-0.1366) q[1];
rx(1.5865) q[2];
rz(-0.069) q[2];
rx(1.5935) q[3];
rz(-0.1674) q[3];
rx(0.5822) q[4];
rz(-0.1495) q[4];
rx(0.6175) q[5];
rz(-0.1564) q[5];
rx(0.6372) q[6];
rz(-0.1525) q[6];
rx(1.5948) 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": []} |
b5e203e63ec3496219a24352650f6c69 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 5}, {"weight": 15, "source": 1, "target": 5}, {"weight": 16, "source": 1, "target": 3}, {... | {"states": [250, 122], "expectation_value": -70.31827588272509, "params": [0.38270000000000004, 0.2053, 0.7854, -0.0064, 0.7834, -0.0002, 0.7886000000000001, -0.006, 0.7873, 0.0804, 0.1627, 0.31670000000000004, 0.791, 0.0732, 0.38670000000000004, 0.2043, 0.38220000000000004, 0.1975, 0.7929, -0.0028, 0.7864, -0.0038, 0.... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.3827) q[0];
rz(0.2053) q[0];
rx(0.7854) q[1];
rz(-0.0064) q[1];
rx(0.7834) q[2];
rz(-0.0002) q[2];
rx(0.7886) q[3];
rz(-0.006) q[3];
rx(0.7873) q[4];
rz(0.0804) q[4];
rx(0.1627) q[5];
rz(0.3167) q[5];
rx(0.791) q[6];
rz(0.0732) q[6];
rx(0.3867) 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": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
13b5396df6ad27aea05f400e3a29be63 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 7}, {"source": 0, "target": 8}, {"sour... | {"states": [176, 177], "expectation_value": -5.686306546056345, "params": [-0.007, -0.0126, 0.39730000000000004, 0.3985, 0.3582, 0.3492, 0.40690000000000004, 0.4016, 0.4038, 0.4027, -0.016900000000000002, -0.0109, -0.0006000000000000001, 0.0004, 0.0099, 0.0071, 0.39940000000000003, 0.39690000000000003, -0.0133000000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) ... | 14 | 9 | 2 | {"smallest_eigenvalues": [-7.5, -7.5, -7.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -6.5, "smallest_bitstrings": ["101011100", "110001110", "101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.007) q[0];
ry(0.3973) q[1];
ry(0.3582) q[2];
ry(0.4069) q[3];
ry(0.4038) q[4];
ry(-0.0169) q[5];
ry(-0.0006) q[6];
ry(0.0099) q[7];
ry(0.3994) q[8];
crx(-0.1265) q[8], q[0];
crx(0.183) q[7], q[8];
crx(0.0866) q[6], q[7];
crx(0.3636) q[5], q[6];
crx(-0.03... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
732c260e1c0902cbe3cb22d766daa7cc | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 3}, {"capacity": 3, "so... | {"states": [44, 28], "expectation_value": -5.308047988188512, "params": [[0.17600000000000002], [-0.24700000000000003]], "bitstrings": ["1111010011", "1111100011"], "total_optimization_steps": 30, "probabilities": [0.004718244203921548, 0.00471824420392155], "optimization_time": 7.324427604675293} | -0.5 * (Z(0) @ Z(2)) + -1.0 * (Z(1) @ Z(2)) + 0.6666666666666667 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -1.0 * (Z(3) @ 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)) + 1.0 * (Z(5) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-10.333333333333332, -10.333333333333332, -10.333333333333332, -10.333333333333332], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.666666666666668, "smallest_bitstrings": ["1111001001", "1111001010", "1111010011", "1111100011"]} | 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[2], q[0];
rz(-0.176) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.352) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.2347) q[1];
cx q[0], q[1];
cx q[2], q[3];
rz(0.176) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
12a709cea7d6ba239d3ff08a3d514b7a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 7}, {"capacity": 2, "source": 0, "target":... | {"states": [0, 1021], "expectation_value": -22.279376126030385, "params": [[[-0.1642, 0.0129], [-0.0109, 1.6123], [0.0032, 0.0043], [0.0027, 0.0028], [0.0026000000000000003, -0.0031000000000000003], [0.0022, 0.0024000000000000002], [0.0025, 0.0023], [0.0027, -0.0032], [0.0026000000000000003, 0.0023], [-0.24200000000000... | -0.25 * (Z(0) @ Z(6)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(0)) + -0.75 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(0)) + -2.0 * (Z(4) @ Z(6)) + -0.5 * (Z(4) @ Z(8)) + -0.25 * (Z(4) @ Z(9)) + -1.0 * (Z(1) @ Z(4)) + -2.25 * (Z(10) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(8)) + -1.0 * (Z(3) @ Z(9)) + -1.0 * (Z(3) @... | 15 | 11 | 2 | {"smallest_eigenvalues": [-23.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.25, "smallest_bitstrings": ["10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.1642) q[0];
ry(-0.0109) q[1];
ry(0.0032) q[2];
ry(0.0027) q[3];
ry(0.0026) q[4];
ry(0.0022) q[5];
ry(0.0025) q[6];
ry(0.0027) q[7];
ry(0.0026) q[8];
ry(-0.242) q[9];
ry(0.0002) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
20cd84d43f6aff3dd65cedb9807f2e38 | 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": [95, 93], "expectation_value": -69.76932028022556, "params": [0.46690000000000004, 0.2328, -0.002, 0.6652, 0.8978, 0.1207, 0.45840000000000003, 0.2846, 0.897, 0.0034000000000000002, 0.8985000000000001, 0.009000000000000001, 0.9014000000000001, 0.1384, 0.4718, 0.2514, 0.8889, 0.158, 0.4697, 0.2263, -0.0038, 0... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(3) @ Z(4)) + 5.5 * (Z(6) @ Z(3)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(6)) + 5.5 * (Z(5) @ Z(2)) + 5.5 * (Z(5) @ Z(0)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(5) @ Z(7)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(0)) + 5.5 * (Z(8) @ Z(5)) + 24.5 * Z(2) ... | 18 | 9 | 3 | {"smallest_eigenvalues": [-96.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -84.5, "smallest_bitstrings": ["110100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.4669) q[0];
rz(0.2328) q[0];
rx(-0.002) q[1];
rz(0.6652) q[1];
rx(0.8978) q[2];
rz(0.1207) q[2];
rx(0.4584) q[3];
rz(0.2846) q[3];
rx(0.897) q[4];
rz(0.0034) q[4];
rx(0.8985) q[5];
rz(0.009) q[5];
rx(0.9014) q[6];
rz(0.1384) q[6];
rx(0.4718) q[7];
rz(0.25... | OPENQASM 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]}"} | {"circuits": [], "gradients": []} |
5ca04f1f68578073d0992d728781edf5 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"sour... | {"states": [183, 251], "expectation_value": -1.7197282046281175, "params": [[-0.0795], [0.0765]], "bitstrings": ["01001000", "00000100"], "total_optimization_steps": 10, "probabilities": [0.006293650011896569, 0.006316783685270756], "optimization_time": 2.680746078491211} | -2.5 * (Z(0) @ Z(2)) + -2.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -3.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -3.0 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(4)) + -1.0 * (Z(6) @ Z(7)) + 1.0 *... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0, -14.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -13.0, "smallest_bitstrings": ["00000100", "00001000"]} | 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(0.3975) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.3975) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.2385) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(0.477) q[1];
cx q[2], q[1];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
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(x0) q[0];
cx q[2],... | {"node": 4} | {"circuits": [], "gradients": []} |
f0da153570ec19fd3e6a04b2d2085009 | 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": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [0, 1023], "expectation_value": -25.150581443958913, "params": [[[0.0028, 1.6086], [0.0022, 0.0029000000000000002], [0.0018000000000000002, 0.002], [-0.0031000000000000003, 0.0022], [0.0033, 0.0028], [-0.0022, -0.0027], [0.0025, 0.0021000000000000003], [0.0024000000000000002, 0.0021000000000000003], [0.00170... | -3.5 * (Z(0) @ Z(1)) + 1.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(0)) + -3.5 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -2.5 * (Z(3) @ Z(4)) + -3.0 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 1.0 * (Z(5) @ Z(3)) + -3.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + -3.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + -3.0... | 15 | 10 | 1 | {"smallest_eigenvalues": [-29.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.0, "smallest_bitstrings": ["0000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.0028) q[0];
ry(0.0022) q[1];
ry(0.0018) q[2];
ry(-0.0031) q[3];
ry(0.0033) q[4];
ry(-0.0022) q[5];
ry(0.0025) q[6];
ry(0.0024) q[7];
ry(0.0017) q[8];
ry(0.0028) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9... | {"node": 6} | {"circuits": [], "gradients": []} |
-4841471649436295465 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3, 4], [1, 2, 3, 4, 5, 6], [0, 2], [0, 3, 5, 6], [0, 4, 5]]} | {"states": [110, 106], "expectation_value": -0.5932097065381402, "params": [0.8978, -0.0001, 0.9052, 0.0082, 0.8962, -0.0006000000000000001, 0.8973000000000001, 0.0008, 0.7372000000000001, 0.007, 0.6291, 0.0025, 0.9038, 0.004200000000000001, 0.9067000000000001, 0.009300000000000001, 0.8983000000000001, 0.00210000000000... | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.11666666666666667 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(0)) + 0.11666666666666667 * (Z(4) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.03333333333333333 * (Z(2) @ Z(3)) + 0.0333333... | 6 | 7 | 1 | {"smallest_eigenvalues": [-1.4333333333333336], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4333333333333333, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.8978) q[0];
rz(-0.0001) q[0];
rx(0.8962) q[1];
rz(-0.0006) q[1];
rx(0.7372) q[2];
rz(0.007) q[2];
rx(0.9038) q[3];
rz(0.0042) q[3];
rx(0.8983) q[4];
rz(0.0021) q[4];
rx(0.8948) q[5];
rz(0.0004) q[5];
rx(0.9067) q[6];
rz(0.0073) q[6];
crx(0.0347) 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": []} |
-4763176923323410830 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 7], [0, 2], [1, 3], [3, 4], [2, 5], [8, 6]]} | {"states": [409, 414], "expectation_value": -0.06041701836389453, "params": [[0.0703], [-0.0728]], "bitstrings": ["001100110", "001100001"], "total_optimization_steps": 10, "probabilities": [0.0021994208109550684, 0.0021994208109550684], "optimization_time": 0.5517604351043701} | 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.0 * Z(7) + 0.0 * Z(8) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -2.0, "smallest_bitstrings": ["001100110", "110011001", "001100001", "011010001", "100101001", "110011110", "011010110", "100101110"]} | 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(0.0703) q[8];
cx q[7], q[8];
cx q[2], q[0];
rz(0.0703) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(0.0703) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(0.0703) 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;
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[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];... | null | {"circuits": [], "gradients": []} |
-6452688707045364778 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[0, 1, 3], [1, 2, 4], [0, 2, 5], [5, 6], [2, 6], [4, 6], [2, 3]]} | {"states": [54, 118], "expectation_value": -2.178340229315261, "params": null, "bitstrings": ["1001001", "0001001"], "total_optimization_steps": 39, "probabilities": [0.20728372058235653, 0.644160390695362], "optimization_time": 42.628066301345825} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333333, -2.333333333333333, -2.333333333333333], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.0, "smallest_bitstrings": ["0001001", "0101001", "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];
ry(1.2292) q[1];
cry(-1.0342) q[5], q[6];
ry(0.971) q[5];
cry(-0.8029) q[4], q[6];
cry(1.1774) q[5], q[4];
ry(-0.3312) q[6];
ry(1.1917) q[2];
cry(-1.4215) q[2], q[3];
cry(0.2628) q[1], q[2];
cry(0.3966) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
e7056fbb187e68baa5d05b0b9cb6a901 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [45, 109], "expectation_value": -1.8077055331801957, "params": [0.7413000000000001, 0.7648, 0.903, 0.6208, 1.0908, 0.7605000000000001, 0.4484, 0.6702, 1.1026, -0.0155, 1.1019, 0.0046, -0.0019, 0.7994, 1.1034000000000002, 0.10700000000000001, 0.4499, 0.004, 0.7127, 0.0064, 0.9635, 0.0068000000000000005, 0.408... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(2) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(5)) + -0.125 * (Z(0) @ Z(5) @ Z(4)) + -0.125 * (Z(4) @ Z(2) @ Z(5)) + 0.12... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["01100010", "10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.7413) q[0];
rz(0.7648) q[0];
rx(0.903) q[1];
rz(0.6208) q[1];
rx(1.0908) q[2];
rz(0.7605) q[2];
rx(0.4484) q[3];
rz(0.6702) q[3];
rx(1.1026) q[4];
rz(-0.0155) q[4];
rx(1.1019) q[5];
rz(0.0046) q[5];
rx(-0.0019) q[6];
rz(0.7994) q[6];
rx(1.1034) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d2e3f71e5c020057da0dd1812bdf6517 | hamiltonian_path | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"weight": 2, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 3}, {"weight": 20, "source": 0, "target": 2}, {"weight": 6, "source": 1, "target": 2}, {"weight": 15, "source": 1, "target... | {"states": [6, 9], "expectation_value": -0.01969475222449618, "params": [[0.0551], [-0.045000000000000005]], "bitstrings": ["1001", "0110"], "total_optimization_steps": 10, "probabilities": [0.0649800938711575, 0.0649800938711575], "optimization_time": 1.5477569103240967} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(2) + 0.0 * Z(3) | 1 | 4 | 1 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": 0.0, "smallest_bitstrings": ["1001", "0110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(0.0551) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0551) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0551) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(0.0551) q[3];
cx q[2], q[3];
rz(0) q[1];
rz(0) q[0];
rz(0) q[2];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(x0) q[3];
cx q[1], q[3];
cx q[2], q[3];
rz(x0) q[3];
cx q[2], q[... | {"start_node": 0, "end_node": 3} | {"circuits": [], "gradients": []} |
6143660857144322503 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [1, 3, 5, 6, 7], [0, 2, 4, 7], [0, 4, 5, 6]]} | {"states": [250, 111], "expectation_value": -0.46066770753037745, "params": [[0.4763], [-0.4753]], "bitstrings": ["00000101", "10010000"], "total_optimization_steps": 50, "probabilities": [0.008473255547525722, 0.00873090241785277], "optimization_time": 3.894683837890625} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.13333333333333333 * (Z(5) @ Z(1)) + 0.16666666666666666 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(2)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(5)) + 0.05 * (Z(6) @ Z(1)) + 0.08333333333333333 * (... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.95, -0.95, -0.95], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -0.9499999999999997, "smallest_bitstrings": ["01011000", "00110010", "10010000"]} | 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(0.0794) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0794) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1588) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(0.127) q[5];
cx q[1], q[5];
cx q[0], ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
eb37df157f972d0ca6ce6f2978928048 | min_cut | 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": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 3, "target": 2}, {"capaci... | {"states": [1, 5], "expectation_value": -2.3020758842887354, "params": [[[0.0032, 0.4908], [0.0022, 0.5987], [0.0028, 0.4263], [0.798, 0.0025], [0.0025, 0.5993], [0.8036000000000001, -0.0038]], [[0.0031000000000000003, 0.0066], [0.0022, 0.0023], [0.002, 0.006200000000000001], [0.795, 0.0047], [0.0025, 0.002900000000000... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + 1.0 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(1) + -0.25 * Z(0) + -0.25 * Z(4) + -0.75 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.0032) q[0];
rz(0.4908) q[0];
rx(0.0022) q[1];
rz(0.5987) q[1];
rx(0.0028) q[2];
rz(0.4263) q[2];
rx(0.798) q[3];
rz(0.0025) q[3];
rx(0.0025) q[4];
rz(0.5993) q[4];
rx(0.8036) q[5];
rz(-0.0038) q[5];
rx(0.0031) q[0];
rz(0.0066) q[0];
rx(0.0022) q[1];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
7045b11d9eb140d2e8e06a7ee0e1d0cd | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [84, 11], "expectation_value": -0.1927749811939939, "params": [[0.0599], [-0.0478]], "bitstrings": ["0101011", "1110100"], "total_optimization_steps": 10, "probabilities": [0.008397922868050666, 0.008590694804476755], "optimization_time": 1.683375597000122} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + -1.5 * Z(3) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(0.0599) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(0.0599) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0599) q[6];
cx q[0], q[6];
cx q[3], q[1];
rz(0.0599) q[1];
cx q[3], q[1];
cx q[5], q[1];
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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[0];
rz(x0) q[0];
cx q[3], q[0];
cx q[0], q[5];
rz(x0) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(... | null | {"circuits": [], "gradients": []} |
92045736fd43235a2eebb6a82d4c1ba7 | 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": [2695, 2691], "expectation_value": -111.56837880038917, "params": [1.3898000000000001, 0.30060000000000003, 0.7219, 0.5672, 1.3827, 0.6142000000000001, 0.42010000000000003, 0.8357, 1.3931, 0.33190000000000003, -0.002, 0.8149000000000001, 0.0025, 0.6529, 0.0027, 1.0170000000000001, 0.0026000000000000003, 0.96... | 8.0 * (Z(0) @ Z(1)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(4) @ Z(1)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(10) @ Z(1)) + 8.0 * (Z(10) @ Z(4)) + 8.0 * (Z(9) @ Z(0)) + 8.0 * (Z(9) @ Z(10)) + 8.0 * (Z(11) @ Z(3)) + 8.0 * (Z(11) @ Z(10)) + 8.0 * (Z(11) @ Z(9)) + 11.0 * Z(1) + 8.5 * Z(0) + 0.0 * Z(2) + 1.5 * Z(3) + 15.5 * Z(4) + -3.5... | 18 | 12 | 2 | {"smallest_eigenvalues": [-138.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -125.5, "smallest_bitstrings": ["010101111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(1.3898) q[0];
rz(0.3006) q[0];
rx(0.7219) q[1];
rz(0.5672) q[1];
rx(1.3827) q[2];
rz(0.6142) q[2];
rx(0.4201) q[3];
rz(0.8357) q[3];
rx(1.3931) q[4];
rz(0.3319) q[4];
rx(-0.002) q[5];
rz(0.8149) q[5];
rx(0.0025) q[6];
rz(0.6529) q[6];
rx(0.0027) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
17353303993b1768c50654a6177e67ac | 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": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target":... | {"states": [620, 364], "expectation_value": -4.747171273882935, "params": [[1.3907, 1.3947, 0.0015, 0.8702000000000001, 0.8244, -0.0021000000000000003, 0.8374, 0.8586, -0.0014, 0.0031000000000000003], [0.43870000000000003, 1.1573, 0.0039000000000000003, 1.4066, 1.4098000000000002, -0.0022, 1.4015, 1.4037000000000002, -... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(4)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) @ Z(9)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(5) + -2.0 * Z(2) + ... | 10 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.0, "smallest_bitstrings": ["0100110011", "1010010011", "1110000011", "0110010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.3907) q[0];
ry(1.3947) q[1];
ry(0.0015) q[2];
ry(0.8702) q[3];
ry(0.8244) q[4];
ry(-0.0021) q[5];
ry(0.8374) q[6];
ry(0.8586) q[7];
ry(-0.0014) q[8];
ry(0.0031) 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[... | OPENQASM 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": []} |
ceada473950316c985fdaa58a8618609 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 3}, {"weight": 19, "source": 1, "target": 3}, {"weight": 10, "source": 2, "target": 3}, {... | {"states": [189, 109], "expectation_value": -34.70771012208792, "params": [[0.028300000000000002, 0.0016, -0.009600000000000001, -0.0018000000000000002], [-0.07540000000000001, -0.0695, -0.0618, -0.0635]], "bitstrings": ["01000010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.01517324262334129, 0.0... | 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(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.2264) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.2264) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.2264) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.2264) q[3];
cx q[1], 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[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7916492692512935968 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 5], [2, 3, 6], [0, 1], [3, 7], [2, 3, 5], [1, 2, 3], [0, 3], [3, 4]]} | {"states": [175, 86], "expectation_value": -0.013485091310862778, "params": [[0.0252], [-0.0322]], "bitstrings": ["01010000", "10101001"], "total_optimization_steps": 10, "probabilities": [0.0039783023162214244, 0.003982571611563484], "optimization_time": 13.139638662338257} | 0.3333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.000000000000001, "smallest_bitstrings": ["10101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(0.0168) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.0168) q[5];
cx q[2], q[5];
cx q[1], q[5];
rz(0.0084) q[5];
cx q[1], q[5];
cx q[2], q[3];
rz(0.0252) q[3];
cx q[2], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(x0) q[5];
cx q[... | 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": 46.217376708984375} | 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 | 3 | {"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", ... |
2211832f5dbcc646309870167bd757ce | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 3, "source": 2, "target": 3}, {"weight": 12, "source": 2, "target": 6}, {"weight": 20, "source... | {"states": [249, 121], "expectation_value": -68.30816723230414, "params": [0.0025, -0.19970000000000002, -0.0002, -0.1757, 0.1836, -0.0853, 0.17830000000000001, -0.0908, 0.3881, 0.0088, 0.39690000000000003, 0.0102, 0.38570000000000004, 0.011300000000000001, 0.3866, 0.0128, 0.3975, 0.0066, 0.3916, 0.0167, 0.396800000000... | 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(3) @ Z(2)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(7) @ Z(5)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 11.0 * Z(2) + 11.5 * Z(1) + 15.0 * Z(3) + 15.5 * Z(5) + ... | 5 | 9 | 4 | {"smallest_eigenvalues": [-78.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["110000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0025) q[0];
rz(-0.1997) q[0];
rx(0.1836) q[1];
rz(-0.0853) q[1];
rx(0.3881) q[2];
rz(0.0088) q[2];
rx(0.3857) q[3];
rz(0.0113) q[3];
rx(0.3975) q[4];
rz(0.0066) q[4];
rx(0.3968) q[5];
rz(-0.0054) q[5];
rx(0.0021) q[6];
rz(0.1916) q[6];
rx(0.1673) 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... | {"matching": "near_perfect", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
502ac3914841f8a39fec13c14696a599 | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, ... | {"states": [104, 41], "expectation_value": -4.996464091941417, "params": null, "bitstrings": ["0010111", "1010110"], "total_optimization_steps": 29, "probabilities": [0.06634871135710174, 0.9303659593061054], "optimization_time": 30.140597343444824} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + -1.5 * Z(2) + -1.5 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + -0.5 * Z(6) + -0.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1010110", "0010111", "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(-1.5708) q[5];
ry(-1.5681) q[2];
ry(-1.5681) q[4];
ry(1.4449) q[1];
ry(1.4449) q[3];
cry(-1.0343) q[6], q[0];
ry(0.7003) q[6];
ry(-0.4549) q[0];
cry(0.4963) q[3], q[6];
cry(-0.3789) q[3], q[0];
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[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", ... |
7e730361c33ee13441f322b05b11c58b | 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}, {"id": 12}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "... | {"states": [511, 4095], "expectation_value": -0.48093179266676156, "params": [[-0.0434], [0.054200000000000005]], "bitstrings": ["111000000000", "000000000000"], "total_optimization_steps": 10, "probabilities": [0.00030805878329788597, 0.00031166626837951056], "optimization_time": 2.0475544929504395} | -2.0 * (Z(0) @ Z(2)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(11) @ Z(9)) + -2.0 * (Z(11) @ Z(8)) + 0.5 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(11)) + -1.5 * Z(2) + 1.0 * Z(0) + 1.0 * Z(1) + 0.5... | 1 | 12 | 1 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["000000000000"]} | 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[2], q[0];
rz(0.1736) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.1736) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.0434) q[1];
cx q[0], q[1];
cx q[4], q[3];
rz(... | 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[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[2], q[0];
rz(x0) q[0];
cx q[2], q[0... | {"node": 3} | {"circuits": [], "gradients": []} |
349470e51b3762ef23fcf6a851dc8e1d | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 3, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 6}, {"weight": 17, "source": 0, "target": 4}, {"weight": 14, "source": 1, "tar... | {"states": [183, 236], "expectation_value": -32.30168716450327, "params": null, "bitstrings": ["101001000", "100010011"], "total_optimization_steps": 100, "probabilities": [0.0750201672319876, 0.1277175651009538], "optimization_time": 204.4003291130066} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-87.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -77.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-13.4106) q[6];
ry(16.0867) q[2];
ry(10.8626) q[3];
ry(0.2509) q[1];
ry(-10.4133) q[5];
cry(-5.2679) q[5], q[2];
ry(20.9803) q[8];
cry(27.8317) q[8], q[1];
ry(63.3559) q[0];
cry(13.2111... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-13.4106) 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] =... |
c5d57071b024d109c38c43678d62eaf1 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}]} | {"states": [0, 1], "expectation_value": -5.7499999999705125, "params": null, "bitstrings": ["111", "110"], "total_optimization_steps": 7, "probabilities": [4.65539676913598e-12, 0.9999999999950338], "optimization_time": 1.6321418285369873} | -1.25 * (Z(0) @ Z(1)) + 1.5 * (Z(2) @ Z(0)) + -1.25 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-5.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(1.5708) q[2];
ry(-1.5708) q[0];
ry(-1.5708) q[1];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 2} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(1.5708) q[2];\nry(-1.5708) q... |
-3098183377770284745 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 12], [12, 6], [2, 7], [8, 9], [0, 11], [8, 5], [4, 6], [11, 4], [10, 2], [3, 6], [2, 5], [2, 6], [5, 7], [0, 8], [2, 12], [3, 11], [1, 2], [8, 3], [11, 5], [0, 7], [2, 11], [11, 7], [0, 3], [9, 5], [1, 11], [9, 3], [8, 4], [3, 5], [8, 7], [4, 5], ... | {"states": [815, 7376], "expectation_value": -0.26270890135745245, "params": [[-0.0524], [0.0645]], "bitstrings": ["1110011010000", "0001100101111"], "total_optimization_steps": 10, "probabilities": [0.00015417327003186673, 0.00015417327003186673], "optimization_time": 12.004493713378906} | 0.5 * (Z(1) @ Z(12)) + 0.5 * (Z(6) @ Z(12)) + 0.5 * (Z(2) @ Z(12)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(8) @ Z(12)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z... | 1 | 13 | 1 | {"smallest_eigenvalues": [-9.0, -9.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.0, "smallest_bitstrings": ["0001100101111", "1110011010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] 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];
cx q[12], q[1];
rz(-0.0524) q[1];
cx q[12], q[1];
cx q[12], q[6];
rz(-0.0524) q[6];
cx q[12], q[6];
cx q[12], q[2];
rz(-0.0524) q[2];
cx q[12], q[2];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[13] c;
qubit[13] 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];
cx q[12], q[1];
rz(x0) q[1];
cx q[12], q[1];
cx q[12], q[6];
rz(x0) q[6];
cx q[12], q[6];
c... | null | {"circuits": [], "gradients": []} |
87e4a0ae0cc3528b58dd801d18946847 | 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": 3}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -12.88236417488769, "params": [[[-0.018000000000000002, -0.0034000000000000002], [0.0039000000000000003, 0.1991], [0.0023, -0.0018000000000000002], [0.0032, -0.0025], [0.0001, 0.0028], [0.0023, -0.0029000000000000002], [0.0041, 0.0033], [0.0025, -0.0024000000000000002], [-1.3... | -0.5 * (Z(0) @ Z(3)) + -1.5 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0)) + -0.75 * (Z(1) @ Z(3)) + -1.0 * (Z(1) @ Z(6)) + -0.25 * (Z(5) @ Z(6)) + -1.0 * (Z(5) @ Z(1)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + 1.0 * (Z(9) @ Z(0)) + -1.0 * (Z(9) @ Z(6)) + -0.5 * (Z(9) @ Z(1)) + -1.0 * (Z(2) @ Z... | 15 | 10 | 3 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.018) q[0];
ry(0.0039) q[1];
ry(0.0023) q[2];
ry(0.0032) q[3];
ry(0.0001) q[4];
ry(0.0023) q[5];
ry(0.0041) q[6];
ry(0.0025) q[7];
ry(-1.3355) q[8];
ry(0.4405) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
-1615585927108024055 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[8, 9, 1, 6], [9, 5, 6, 7], [8, 2, 3, 4], [1, 2, 7], [0, 2, 4, 7], [1, 4, 5], [0, 1, 4, 7], [8, 9, 4, 6], [0, 6], [8, 9, 2, 4], [1, 3, 7], [2, 3, 5], [3, 6], [8, 3, 7], [1, 4, 9], [8, 1, 2, 4], [1, 5, 7], [8, 9, 3]]} | {"states": [851, 979], "expectation_value": -4.270123379611107, "params": [[[3.1396, 0.0019], [3.1399000000000004, 0.0001], [1.6403, 0.0011], [3.1386000000000003, 0.0019], [0.5372, 0.0094], [3.1395, 0.0054], [0.0019, 0.0054], [0.5433, 0.006900000000000001], [3.1396, 0.005200000000000001], [3.1396, 0.0066]]], "bitstring... | 0.41666666666666663 * (Z(8) @ Z(9)) + 0.25 * (Z(1) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(8)) + 0.25 * (Z(6) @ Z(9)) + 0.16666666666666666 * (Z(6) @ Z(8)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(9)) + 0.3333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(6)) + 0.0833333... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.666666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.499999999999999, "smallest_bitstrings": ["0000101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1396) q[0];
rz(0.0019) q[0];
rx(3.1399) q[1];
rz(0.0001) q[1];
rx(1.6403) q[2];
rz(0.0011) q[2];
rx(3.1386) q[3];
rz(0.0019) q[3];
rx(0.5372) q[4];
rz(0.0094) q[4];
rx(3.1395) q[5];
rz(0.0054) q[5];
rx(0.0019) q[6];
rz(0.0054) q[6];
rx(0.5433) 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] 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 1.8083715438842773} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 1 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
a3321da1469fc4651f7b228a11447db0 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 16, "source": 1, "target": 7}, {"weight": 2, "source": 2, "target": 3}, {"weight": 15, "source... | {"states": [185, 177], "expectation_value": -39.978679540866395, "params": [[[0.0018000000000000002, 0.8432000000000001], [1.1886, -0.0027], [0.0035, 0.36960000000000004], [1.1928, 0.0026000000000000003], [1.2086000000000001, -0.001], [0.7325, 0.2262], [0.0031000000000000003, 0.8028000000000001], [0.5955, 0.2922], [1.1... | 5.0 * (Z(0) @ Z(1)) + 5.0 * (Z(3) @ Z(1)) + 5.0 * (Z(2) @ Z(3)) + 5.0 * (Z(4) @ Z(5)) + 5.0 * (Z(6) @ Z(5)) + 5.0 * (Z(6) @ Z(4)) + 5.0 * (Z(7) @ Z(1)) + 5.0 * (Z(7) @ Z(3)) + 5.0 * (Z(7) @ Z(4)) + 5.0 * (Z(8) @ Z(1)) + 5.0 * (Z(8) @ Z(3)) + 5.0 * (Z(8) @ Z(5)) + 5.0 * (Z(8) @ Z(7)) + 2.0 * Z(1) + -7.5 * Z(0) + 2.5 * Z... | 1 | 9 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -54.5, "smallest_bitstrings": ["101001110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0018) q[0];
rz(0.8432) q[0];
rx(1.1886) q[1];
rz(-0.0027) q[1];
rx(0.0035) q[2];
rz(0.3696) q[2];
rx(1.1928) q[3];
rz(0.0026) q[3];
rx(1.2086) q[4];
rz(-0.001) q[4];
rx(0.7325) q[5];
rz(0.2262) q[5];
rx(0.0031) q[6];
rz(0.8028) q[6];
rx(0.5955) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
347cd23786ada5a7ec96f3799dd0d8dc | 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": 11, "source": 0, "target": 2}, {"weight": 19, "source": 1, "target": 5}, {"weight": 12, "source": 1, "target": 4}, {... | {"states": [118, 117], "expectation_value": -11.360079745921023, "params": [[0.0475], [-0.0897]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.008368012414318334, 0.01051888926421875], "optimization_time": 1.8249022960662842} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 5.5 * Z(1) + 4.5 * Z(0) + 18.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-71.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -60.0, "smallest_bitstrings": ["10001010"]} | 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(0.38) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.38) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.38) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.38) q[3];
cx q[2], q[3];
cx q[1], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7bc4dde9a09d0b94c5097b219891d81a | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [32491, 32235], "expectation_value": -16.068460738624786, "params": [0.7695000000000001, 0.3889, 1.578, 0.1121, 0.8251000000000001, 0.33290000000000003, 1.5791000000000002, -0.001, 1.5770000000000002, -0.0023, 1.5829, 0.09820000000000001, 0.8072, 0.4212, 0.8280000000000001, 0.4207, 1.5730000000000002, 0.0716... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(5)) + 0.25 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + 0.25 * (Z(4) @ Z(3)) + 0.25 * (Z(... | 18 | 16 | 2 | {"smallest_eigenvalues": [-19.999999999999847], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.999999999999815, "smallest_bitstrings": ["1000001000010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.7695) q[0];
rz(0.3889) q[0];
rx(1.578) q[1];
rz(0.1121) q[1];
rx(0.8251) q[2];
rz(0.3329) q[2];
rx(1.5791) q[3];
rz(-0.001) q[3];
rx(1.577) q[4];
rz(-0.0023) q[4];
rx(1.5829) q[5];
rz(0.0982) q[5];
rx(0.8072) q[6];
rz(0.4212) q[6];
rx(0.828) 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[... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 3}, {"id": 2}, {"id": 0}], "edges": [{"source": 1, "target": 0}, {"source": 3, "target": 2}, {"source": 3, "target": 0}, {"source": 2, "target": 0}]}} | {"circuits": [], "gradients": []} |
339c7fe0000b9f3d24083d98998c20d8 | min_cut | adaptive_vqe | {"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": [49, 17], "expectation_value": -11.16581569909803, "params": null, "bitstrings": ["001110", "101110"], "total_optimization_steps": 41, "probabilities": [0.3178122281742425, 0.38263760981447176], "optimization_time": 33.18229818344116} | -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];
ry(1.5709) q[5];
ry(-1.4894) q[0];
ry(-0.7453) q[4];
ry(-0.9522) q[3];
cry(0.8407) q[5], q[4];
cry(-1.6662) q[2], q[4];
cry(-0.5015) q[5], q[3];
cry(1.5708) q[5], q[1];
cry(-0.9036) q[1], q[4];
ry(-1.5396) q[2];
... | 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(1.5709) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
18312d59afcaa473ce6d4f831ea41fc6 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [127, 2047], "expectation_value": -18.293829736146144, "params": [[[-0.0027, 0.00030000000000000003], [-0.0023, 0.0008], [-0.0021000000000000003, 0.0054], [1.5088000000000001, 0.0076], [0.0021000000000000003, 0.0046], [0.002, 0.0092], [1.4774, 0.0073], [-0.0024000000000000002, 0.009000000000000001], [-0.0029... | -2.0 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(0)) + -2.0 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + -2.0 * (Z(9) @ Z(7)) + -2.0 * (Z(10) @ Z(8)) + -2.0 * (Z(10) @ Z(7)) + -2.0 * (Z(10) @ Z(9)) ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-22.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0027) q[0];
rz(0.0003) q[0];
rx(-0.0023) q[1];
rz(0.0008) q[1];
rx(-0.0021) q[2];
rz(0.0054) q[2];
rx(1.5088) q[3];
rz(0.0076) q[3];
rx(0.0021) q[4];
rz(0.0046) q[4];
rx(0.002) q[5];
rz(0.0092) q[5];
rx(1.4774) q[6];
rz(0.0073) q[6];
rx(-0.0024) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
74f3db266dbfc29b2e3165b97e91cad0 | 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": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [3, 11], "expectation_value": -11.744067232954524, "params": [-0.0001, 0.46540000000000004, -0.0047, 0.6547000000000001, -0.0045000000000000005, 0.6682, 0.43220000000000003, -0.007, -0.0016, 0.6656000000000001, 0.7976000000000001, 0.1579, 0.7806000000000001, -0.0026000000000000003, -0.0033, 0.5574, -0.004500... | -1.5 * (Z(0) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -1.25 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + 3.25 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.75 * (Z(3) @ Z(6)) + -1.5 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -2.25 * Z(1) + -0.25 * Z(0) + -1.75 * Z(2) + 1.25 * Z(4) + 0... | 3 | 7 | 4 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0001) q[0];
rz(0.4654) q[0];
rx(-0.0047) q[1];
rz(0.6547) q[1];
rx(-0.0045) q[2];
rz(0.6682) q[2];
rx(0.4322) q[3];
rz(-0.007) q[3];
rx(-0.0016) q[4];
rz(0.6656) q[4];
rx(0.7976) q[5];
rz(0.1579) q[5];
rx(0.7806) q[6];
rz(-0.0026) q[6];
crz(0.0039) 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": 6} | {"circuits": [], "gradients": []} |
91ee5f0f4255f3e469e33f428a617749 | 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": 8, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 2}, {"weight": 20, "source": 0, "target": 5}, {"weight": 15, "source": 1, "tar... | {"states": [490, 234], "expectation_value": -60.57797444609, "params": [0.8007000000000001, -0.3891, 1.4887000000000001, -0.0027, 1.4904000000000002, -0.0027, 1.5005000000000002, 0.17750000000000002, 0.4838, 0.45470000000000005, 1.5016, 0.1564, 0.6815, 0.4627, 1.4969000000000001, 0.2599, 0.4636, 0.5561, 0.8057000000000... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 8.5 * Z(0) + 14.5 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -64.5, "smallest_bitstrings": ["100010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.8007) q[0];
rz(-0.3891) q[0];
rx(1.4887) q[1];
rz(-0.0027) q[1];
rx(1.4904) q[2];
rz(-0.0027) q[2];
rx(1.5005) q[3];
rz(0.1775) q[3];
rx(0.4838) q[4];
rz(0.4547) q[4];
rx(1.5016) q[5];
rz(0.1564) q[5];
rx(0.6815) q[6];
rz(0.4627) q[6];
rx(1.4969) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
1e191a11f35582298737a38bddb93633 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 3, "source": ... | {"states": [256, 264], "expectation_value": -25.87557772628717, "params": [-0.0009000000000000001, 0.006500000000000001, -0.0025, -0.00030000000000000003, -0.004200000000000001, -0.004, 0.307, 0.3024, -0.0017000000000000001, -0.0013000000000000002, -0.008, -0.0016, -0.0088, -0.0013000000000000002, -0.004, -0.0045000000... | -0.5 * (Z(0) @ Z(1)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.75 * (Z(6) @ Z(0)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(11) @ Z(0)) + -0.25 * (Z(11) @ Z(4)) + -1.75 * (Z(11) @ Z(6)) + -1.0 * (Z(11) @ Z(10)) + -1.0 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -1.5 ... | 14 | 12 | 3 | {"smallest_eigenvalues": [-28.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.5, "smallest_bitstrings": ["111011110111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(-0.0009) q[0];
ry(-0.0025) q[1];
ry(-0.0042) q[2];
ry(0.307) q[3];
ry(-0.0017) q[4];
ry(-0.008) q[5];
ry(-0.0088) q[6];
ry(-0.004) q[7];
ry(0.292) q[8];
ry(0.0016) q[9];
ry(-0.0009) q[10];
ry(-0.0051) q[11];
crx(0.1834) q[11], q[0];
crx(-0.216) q[10], q[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... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
ca73abee2b018455955f199f9f478c21 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 5, "target": 8}, {"sour... | {"states": [0, 239], "expectation_value": -8.886563177821792, "params": [-0.0269, 1.8239, 0.3105, 1.8183, 0.6977, 0.7202000000000001, -0.0024000000000000002, 1.7098, 0.7437, 1.3125, -0.0656, 1.3914, 0.7117, 1.4147, 0.0244, 1.2564, -0.6632, 0.5971000000000001, 0.08310000000000001, -0.013600000000000001, 0.78450000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.0 * (Z(4) @ Z(7)) + -2.0 * (Z(5) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(7) + 0.5 * Z(4) + 0.5 * Z(5) + 0.5 * Z(6) + -0.5 * Z(3) | 6 | 8 | 2 | {"smallest_eigenvalues": [-13.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["00010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0269) q[0];
rz(1.8239) q[0];
rx(0.6977) q[1];
rz(0.7202) q[1];
rx(0.7437) q[2];
rz(1.3125) q[2];
rx(0.7117) q[3];
rz(1.4147) q[3];
rx(-0.6632) q[4];
rz(0.5971) q[4];
rx(0.7845) q[5];
rz(0.956) q[5];
rx(0.782) q[6];
rz(0.967) q[6];
rx(0.7407) q[7];
rz(0.9... | OPENQASM 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": []} |
fae06182b4dd84aac963af755062d831 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}, {"source": 5, "target":... | {"states": [480, 511], "expectation_value": -1.1460715969526039, "params": [[0.0728], [-0.0738]], "bitstrings": ["000011111", "000000000"], "total_optimization_steps": 10, "probabilities": [0.0029342197112032418, 0.003128601735527833], "optimization_time": 2.5162014961242676} | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(5)) + -2.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * (Z(6) @ Z(7)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * (Z(8) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.0, "smallest_bitstrings": ["000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.2184) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2912) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0728) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0728) q[3];
cx q[1], q[3]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x1) q[2... | {"node": 8} | {"circuits": [], "gradients": []} |
ed17940d27aebadda70c31c5b11d2e16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 9, "source": 0, "t... | {"states": [442, 218], "expectation_value": -27.364225884653045, "params": [[-0.047, -0.0028, 0.007500000000000001, 0.010100000000000001], [0.07830000000000001, 0.0636, 0.059800000000000006, 0.0589]], "bitstrings": ["001000101", "100100101"], "total_optimization_steps": 10, "probabilities": [0.013148862618457291, 0.016... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(3) @ Z(4)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(8)) + 6.0 * Z(1) + 9.0 * Z(0) + 15.5 * Z(2) + 11.0 * Z(4) + 7.... | 1 | 9 | 4 | {"smallest_eigenvalues": [-70.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.423) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.423) q[2];
cx q[0], q[2];
cx q[2], q[4];
rz(-0.423) q[4];
cx q[2], q[4];
cx q[2], q[3];
rz(-0.423) q[3];
cx q[2], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
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