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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
4d1240ef072f6b149c3e83e07e8a9609 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 5, "source": 0, ... | {"states": [33, 1], "expectation_value": -6.1267902314079485, "params": [[0.0651, 0.0655, 0.0487, 0.039], [-0.06910000000000001, -0.0723, -0.053200000000000004, -0.0471]], "bitstrings": ["11011110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.021222503405280466, 0.023791044777403153], "optimization... | -1.0 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(0)) + -1.25 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(2)) + 4.5 * (Z(7) @ Z(0)) + -1.0 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(3)) + -1.75 * (Z(4) @ Z(5)) + -1.25 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -2.25 * (Z(6)... | 1 | 8 | 4 | {"smallest_eigenvalues": [-19.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -18.5, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1302) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.1628) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0326) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0977) q[3];
cx q[0], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] 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": []} |
852e5560d0cbc49d98025b68fdf4272e | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, {"source": 4, "ta... | {"states": [127, 63], "expectation_value": -0.8186725363496066, "params": [[0.0692], [-0.0699]], "bitstrings": ["0000000", "1000000"], "total_optimization_steps": 10, "probabilities": [0.011187025887476764, 0.011404767160834575], "optimization_time": 2.2911646366119385} | -2.0 * (Z(1) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(4) @ Z(2)) + -2.0 * (Z(4) @ Z(1)) + -2.0 * (Z(4) @ Z(3)) + -1.0 * (Z(5) @ Z(6)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(6) + 0.5 * Z(5) + -0.5 * Z(0) | 5 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(-0.2768) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.1384) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2768) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.2768) q[4];
cx q[2], q[4];
cx q[1], q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(x1) q[3];
cx q[2], q[3]... | {"node": 1} | {"circuits": [], "gradients": []} |
d576b64149ed4af7fd9893f4ff01f3b9 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 0, ... | {"states": [65, 1], "expectation_value": -1.565372449629726, "params": [[-0.0635, -0.0828, -0.0736], [0.0621, 0.0779, 0.07440000000000001]], "bitstrings": ["10111110", "11111110"], "total_optimization_steps": 10, "probabilities": [0.013747147174773728, 0.014646220762821937], "optimization_time": 4.03083872795105} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(3)) + 1.5 * (Z(7) @ Z(0)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -0.25 * (Z(6) @ Z(3)) + -0.75 * (Z(6) @ Z(4)) + 0.0 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + -0.25 * Z(4) + 1.5 * Z(7) + -1.0 * Z(5) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-9.25, -9.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["11111110", "10111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.0318) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0953) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0318) q[4];
cx q[0], q[4];
cx q[3], q[4];
rz(0.0953) q[4];
cx q[3], q[4];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
26d7f56e59bfdf48052023802b40605b | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 1}, {"id": 4}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 3, "target": 1}, {"source": 3, "target": 4}, {"source": 1, "target": 4}, {"source": 4, "target": 2}]} | {"states": [22387, 23411], "expectation_value": -8.370434542184089, "params": [1.0613000000000001, -0.0269, -0.024900000000000002, 0.6608, 1.2319, 0.0825, 0.9054000000000001, 0.1383, 0.6316, 0.4934, 0.7788, 0.0143, 1.0137, -0.032, 0.2928, 0.6599, 1.0391000000000001, 0.15510000000000002, 0.7884, 0.0083, 1.1484, 0.004500... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * (Z(10) @ Z(1)) + 0.5 * (Z(10) @ Z(9)) + 0.25 * (Z(11) @ Z(2)) + 0.5 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(10)) + 0.25 * (Z(3) @ Z(9)) + 0.25 * (Z(4) @ Z(10)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(11)) + 0.5 * (Z(5) @ Z(3)) ... | 3 | 15 | 4 | {"smallest_eigenvalues": [-8.749999999999964], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999961, "smallest_bitstrings": ["010010010001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(1.0613) q[0];
rz(-0.0269) q[0];
rx(-0.0249) q[1];
rz(0.6608) q[1];
rx(1.2319) q[2];
rz(0.0825) q[2];
rx(0.9054) q[3];
rz(0.1383) q[3];
rx(0.6316) q[4];
rz(0.4934) q[4];
rx(0.7788) q[5];
rz(0.0143) q[5];
rx(1.0137) q[6];
rz(-0.032) q[6];
rx(0.2928) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [367, 363], "expectation_value": -3.4943612430226896, "params": [1.5521, 0.4011, 0.7069000000000001, 0.7122, 1.5592000000000001, 0.42460000000000003, 1.5518, 0.3486, 0.7335, 0.6984, 1.4187, 0.4223, 0.7812, -0.5152, 1.5808, -0.07640000000000001, 1.5730000000000002, 0.040100000000000004, 1.4885000000000002, 0.... | 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 * ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.5521) q[0];
rz(0.4011) q[0];
rx(0.7069) q[1];
rz(0.7122) q[1];
rx(1.5592) q[2];
rz(0.4246) q[2];
rx(1.5518) q[3];
rz(0.3486) q[3];
rx(0.7335) q[4];
rz(0.6984) q[4];
rx(1.4187) q[5];
rz(0.4223) q[5];
rx(0.7812) q[6];
rz(-0.5152) q[6];
rx(1.5808) q[7];
rz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
-349847794954377000 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3, 4, 5], [0, 3], [0, 2]]} | {"states": [30, 51], "expectation_value": -0.4823688539795386, "params": [[-0.4531], [0.4179]], "bitstrings": ["100001", "001100"], "total_optimization_steps": 50, "probabilities": [0.03528981729845475, 0.03548339418299632], "optimization_time": 1.9299230575561523} | 0.08333333333333333 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333333 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.125 * Z(3) + 0.125 * Z(1) + 0.125 * Z(4) + 0.1... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.25, -1.25, -1.25, -1.25], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.1666666666666667, "smallest_bitstrings": ["110000", "100010", "100001", "001100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(-0.0755) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(-0.0755) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(-0.0755) q[4];
cx q[1], q[4];
cx q[3], q[5];
rz(-0.0755) q[5];
cx q[3], q[5];
cx q[1], q[5];
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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[3], q[4];
rz(x0) q[4];
cx q[3], q[4];
cx q[1], q[4];
rz(x0) q[4]... | null | {"circuits": [], "gradients": []} |
109dd65f843c7effe1b685156edca6d7 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 0, "ta... | {"states": [13, 7], "expectation_value": -9.456969937709879, "params": [[0.0083, 0.0054, 0.0223, 0.0245], [-0.0235, -0.0238, -0.0375, -0.056600000000000004]], "bitstrings": ["11110010", "11111000"], "total_optimization_steps": 10, "probabilities": [0.007039971886061956, 0.007362770512128105], "optimization_time": 15.91... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + 2.75 * (Z(6) @ Z(2)) + 3.0 * (Z(6) @ Z(3)) + ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.0457) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0457) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0457) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.0457) q[3];
cx q[1], q[3];
cx q[0],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
0383062743a6032431a10ba112efca08 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capaci... | {"states": [480, 8672], "expectation_value": -25.876553243751022, "params": [-0.0022, 0.009000000000000001, 0.0022, 0.0044, 1.5751000000000002, 0.0081, 0.0024000000000000002, 0.001, -0.0024000000000000002, 0.0071, -0.0026000000000000003, 0.0015, -0.0023, 0.0016, 3.1395, 0.0012000000000000001, 3.1396, 0.0081, 3.1394, 0.... | 0.5 * (Z(0) @ Z(13)) + 1.0 * (Z(14) @ Z(13)) + 0.5 * (Z(14) @ Z(0)) + 1.0 * (Z(1) @ Z(13)) + 0.75 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(14)) + -0.5 * (Z(3) @ Z(13)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(14)) + -1.0 * (Z(3) @ Z(1)) + -0.5 * (Z(4) @ Z(13)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(14)) + -1.0 * (Z(4) @ Z... | 18 | 16 | 1 | {"smallest_eigenvalues": [-26.24999999999991], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.249999999999734, "smallest_bitstrings": ["1101111000011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(-0.0022) q[0];
rz(0.009) q[0];
rx(0.0022) q[1];
rz(0.0044) q[1];
rx(1.5751) q[2];
rz(0.0081) q[2];
rx(0.0024) q[3];
rz(0.001) q[3];
rx(-0.0024) q[4];
rz(0.0071) q[4];
rx(-0.0026) q[5];
rz(0.0015) q[5];
rx(-0.0023) q[6];
rz(0.0016) q[6];
rx(3.1395) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
dc8ac5f82febba9dcace181eb5c76eb3 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}, {"id": 3}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": ... | {"states": [15, 7], "expectation_value": -2.7196617947606043, "params": [[[0.1822, -0.2127], [0.2003, 0.1962], [0.33130000000000004, -0.08270000000000001], [0.5656, 0.0013000000000000002], [0.4761, 0.0009000000000000001], [0.5207, -0.0024000000000000002]], [[0.18710000000000002, -0.2127], [0.20520000000000002, 0.1962],... | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(5) @ Z(1)) + 1.75 * (Z(5) @ Z(0)) + 2.0 * (Z(5) @ Z(2)) + 2.0 * (Z(5) @ Z(4)) + 2.0 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 2.0 * (Z(3) @ Z(2)) + 2.0 * (Z(3) @ Z(4)) + 1.75 *... | 1 | 6 | 4 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["111000", "110010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.1822) q[0];
rz(-0.2127) q[0];
rx(0.2003) q[1];
rz(0.1962) q[1];
rx(0.3313) q[2];
rz(-0.0827) q[2];
rx(0.5656) q[3];
rz(0.0013) q[3];
rx(0.4761) q[4];
rz(0.0009) q[4];
rx(0.5207) q[5];
rz(-0.0024) q[5];
rx(0.1871) q[0];
rz(-0.2127) q[0];
rx(0.2052) q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 3} | {"circuits": [], "gradients": []} |
-6452688707045364778 | hypermaxcut | 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": [126, 118], "expectation_value": -0.7614371397927624, "params": [[[2.0901, 0.006], [2.1015, 0.0001], [2.1069, 0.0066], [1.4726000000000001, 0.002], [2.1082, 0.0031000000000000003], [2.1008, 0.0063], [1.0784, 0.0043]]], "bitstrings": ["0000001", "0001001"], "total_optimization_steps": 210, "probabilities": [0... | 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;
rx(2.0901) q[0];
rz(0.006) q[0];
rx(2.1015) q[1];
rz(0.0001) q[1];
rx(2.1069) q[2];
rz(0.0066) q[2];
rx(1.4726) q[3];
rz(0.002) q[3];
rx(2.1082) q[4];
rz(0.0031) q[4];
rx(2.1008) q[5];
rz(0.0063) q[5];
rx(1.0784) q[6];
rz(0.0043) q[6];
c[0] = measure q[0];
c[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] 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... | null | {"circuits": [], "gradients": []} |
d742f18d9d61b691ec5b2dbe8d1ae52d | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 4}, {"weight": 14, "source": 0, "target": 5}, {"weight": 19, "source": 1, "ta... | {"states": [252, 236], "expectation_value": -24.809383966786974, "params": [[-0.033, -0.0027, 0.0109], [0.06420000000000001, 0.056900000000000006, 0.0592]], "bitstrings": ["100000011", "100010011"], "total_optimization_steps": 10, "probabilities": [0.006774013259885121, 0.008750660136387891], "optimization_time": 6.195... | 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(5) @ Z(2)) + 4.5 * (Z(4) @ Z(5)) + 4.5 * (Z(6) @ Z(2)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(3)) + 10.5 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.297) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.297) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.297) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.297) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
4774e3e9bff083e8c596e191efb212f5 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, ... | {"states": [15, 11], "expectation_value": -2.867117470344229, "params": [-0.0001, 0.4529, -0.0031000000000000003, 0.5284, 0.4146, -0.0695, 0.6974, -0.028200000000000003, 0.49560000000000004, 0.2305, 0.7051000000000001, -0.0059, 0.6983, 0.0024000000000000002, -0.0055000000000000005, 0.5284, -0.0026000000000000003, 0.524... | 0.5 * (Z(2) @ Z(3)) + 0.25 * (Z(2) @ Z(4)) + 0.25 * (Z(2) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(4) @ Z(5)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(6) @ Z(0) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.75 * Z(0) + -1.0 * Z(1) + -0.25 * Z(2) + -0.25 * Z(... | 4 | 7 | 3 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.5, "smallest_bitstrings": ["1110001", "1110100", "1101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(-0.0001) q[0];
rz(0.4529) q[0];
rx(-0.0031) q[1];
rz(0.5284) q[1];
rx(0.4146) q[2];
rz(-0.0695) q[2];
rx(0.6974) q[3];
rz(-0.0282) q[3];
rx(0.4956) q[4];
rz(0.2305) q[4];
rx(0.7051) q[5];
rz(-0.0059) q[5];
rx(0.6983) q[6];
rz(0.0024) q[6];
crx(-0.1845) 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": []} |
250509f37f9446f8e0ae2849e52dd5c2 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "... | {"states": [2060, 12], "expectation_value": -12.070224654010465, "params": [0.8242, 0.9777, 0.0017000000000000001, 1.3381, 0.0029000000000000002, 0.9659000000000001, -0.0028, 1.3619, -0.0028, 1.3202, -0.0026000000000000003, 1.4048, 0.0027, -1.4076, 0.0023, 1.4083, 1.5771000000000002, 0.0022, 1.8524, 0.6202000000000001,... | 0.5 * (Z(0) @ Z(8)) + 1.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(0)) + 1.0 * (Z(1) @ Z(8)) + 0.8571428571428572 * (Z(1) @ Z(0)) + 1.0 * (Z(1) @ Z(9)) + 1.0 * (Z(2) @ Z(8)) + 0.8571428571428572 * (Z(2) @ Z(0)) + 1.0 * (Z(2) @ Z(9)) + 1.7142857142857144 * (Z(2) @ Z(1)) + -1.0 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(0)) + -1.0 * (Z... | 18 | 12 | 2 | {"smallest_eigenvalues": [-12.214285714285715], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.928571428571429, "smallest_bitstrings": ["111111110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(0.8242) q[0];
rz(0.9777) q[0];
rx(0.0017) q[1];
rz(1.3381) q[1];
rx(0.0029) q[2];
rz(0.9659) q[2];
rx(-0.0028) q[3];
rz(1.3619) q[3];
rx(-0.0028) q[4];
rz(1.3202) q[4];
rx(-0.0026) q[5];
rz(1.4048) q[5];
rx(0.0027) q[6];
rz(-1.4076) q[6];
rx(0.0023) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
b4844a241e7c75ea7eb690acd3c4c004 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [349, 413], "expectation_value": -5.169930610951368, "params": null, "bitstrings": ["010100010", "001100010"], "total_optimization_steps": 54, "probabilities": [0.026413325143174803, 0.9199483870407077], "optimization_time": 88.3655035495758} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(3) @ Z(0)) + 0.25 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(1)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.25, -5.25, -5.25, -5.25, -5.25, -5.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.25, "smallest_bitstrings": ["100010001", "010001100", "001100010", "100001010", "010100001", "001010100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5681) q[8];
ry(1.5681) q[4];
ry(1.5681) q[0];
cry(1.0343) q[4], q[6];
ry(1.0343) q[5];
cry(-1.3791) q[5], q[3];
cry(0.3667) q[0], q[5];
cry(1.0343) q[8], q[1];
cry(-1.4006) q[1], q[2]... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5681) q[8];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
320a9f451400cc7b47c12eaef6b494ad | 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": 1, "target": 2}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"source": 4, "target": 5}, {"sour... | {"states": [0, 255], "expectation_value": -8.630541991621243, "params": [[[-0.0024000000000000002, 1.6144], [0.0025, 0.0024000000000000002], [0.002, 0.0015], [0.0016, 0.002], [0.0019, 0.002], [0.0021000000000000003, 0.002], [0.0021000000000000003, 0.0017000000000000001], [0.0018000000000000002, 0.0023]]], "bitstrings":... | -1.5 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * (Z(3) @ Z(4)) + -2.0 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(2)) + -2.0 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + -1.0 * Z(1) + 1.0 * Z(0) + 0.5 * Z(5) + 0.5 * Z(2) + 0.5 * Z(6) + 0.5 * Z(4) + 0.5 * Z(3) + 0.... | 15 | 8 | 1 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["11000000", "00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(-0.0024) q[0];
ry(0.0025) q[1];
ry(0.002) q[2];
ry(0.0016) q[3];
ry(0.0019) q[4];
ry(0.0021) q[5];
ry(0.0021) q[6];
ry(0.0018) q[7];
cx q[7], q[0];
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];
cx q[1], q[2];
cx q[0], q[1];
ry(1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
ry(x0) q[0];
ry(x1... | {"node": 2} | {"circuits": [], "gradients": []} |
4cda5dee957682c08dbd329bc943c5ef | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [16, 17], "expectation_value": -5.002251899151077, "params": [[[0.0018000000000000002, 0.0023], [0.0019, 0.0018000000000000002], [1.5912000000000002, 0.0029000000000000002], [0.8536, -0.0025], [-0.0038, -0.0009000000000000001], [1.5985, 0.7772], [-0.0016, 1.1173]]], "bitstrings": ["1101111", "1101110"], "tot... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) ... | 15 | 7 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -5.0, "smallest_bitstrings": ["1011101", "0110111", "1111100", "1101011", "1101110", "1110110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(0.0018) q[0];
ry(0.0019) q[1];
ry(1.5912) q[2];
ry(0.8536) q[3];
ry(-0.0038) q[4];
ry(1.5985) q[5];
ry(-0.0016) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0023) q[0];
ry(0.0018) q[1];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] ... | null | {"circuits": [], "gradients": []} |
4ad04e8277d1d21217873093289e23bd | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"s... | {"states": [0, 8191], "expectation_value": -27.644789360701804, "params": [[[-0.0023, 1.6123], [-0.0024000000000000002, 0.0022], [0.0031000000000000003, -0.0029000000000000002], [0.0018000000000000002, 0.0024000000000000002], [0.0018000000000000002, 0.002], [0.0022, 0.0021000000000000003], [0.0021000000000000003, 0.002... | -2.5 * (Z(0) @ Z(1)) + 1.0 * (Z(10) @ Z(1)) + -2.0 * (Z(10) @ Z(0)) + -3.0 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + -3.5 * (Z(9) @ Z(1)) + 1.0 * (Z(9) @ Z(0)) + -3.0 * (Z(9) @ Z(10)) + 1.5 * (Z(9) @ Z(6)) + 1.0 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(10)) + -2.5 * (Z(7) @ Z(6)) + -3.0 * (Z(7) @ Z(9)) + 1.0 * (Z(8) @ Z(1)) + 0... | 15 | 13 | 1 | {"smallest_eigenvalues": [-31.0, -31.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -29.0, "smallest_bitstrings": ["0000000000000", "0011110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(-0.0023) q[0];
ry(-0.0024) q[1];
ry(0.0031) q[2];
ry(0.0018) q[3];
ry(0.0018) q[4];
ry(0.0022) q[5];
ry(0.0021) q[6];
ry(0.0018) q[7];
ry(0.0018) q[8];
ry(0.0022) q[9];
ry(0.002) q[10];
ry(0.002) q[11];
ry(0.0027) q[12];
cx q[12], q[0];
cx q[11], q[12];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[13] c;
qubit[13] q;
ry(x0) q[0];
ry(... | {"node": 8} | {"circuits": [], "gradients": []} |
4788755b9046cb997ec5043a21f8c9e6 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "ta... | {"states": [195, 204], "expectation_value": -0.0027126761680196926, "params": [[0.0024000000000000002, -0.054, 0.0098, 0.005, 0.0039000000000000003, 0.0039000000000000003, 0.0539, 0.0071], [0.0032, 0.0567, 0.0025, 0.007, 0.0044, -0.0016, -0.044000000000000004, 0.007500000000000001]], "bitstrings": ["00111100", "0011001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(3) + 0.0 * Z(0) + -2.0 * Z(2) + 0.0 * Z(1) + -0.5 * Z(4) + -0.5 * Z(5) + -0.5 * Z(6) + -1.0 * Z(7) | 9 | 8 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.5, "smallest_bitstrings": ["10100101", "00111010", "00110011", "10100011", "00111100", "00110101"]} | 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];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0024) q[0];
rx(-0.054) q[1];
rx(0.0098) q[2];
rx(0.005) q[3];
rx(0.0039) q[4];
rx(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] 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": []} |
20a8103f07dd8a24047f028e6edcf2b9 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 14, "source": 1, "target": 3}, {"weight": 14, "source": 1, "target": 4}, {... | {"states": [107, 122], "expectation_value": -41.39690867715534, "params": null, "bitstrings": ["10010100", "10000101"], "total_optimization_steps": 100, "probabilities": [0.12014193001474291, 0.194657655874236], "optimization_time": 194.00479745864868} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-67.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -61.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(0.1246) q[3];
ry(25.2346) q[4];
ry(45.2502) q[2];
cry(-25.0055) q[2], q[3];
ry(34.7603) q[6];
ry(30.3649) q[1];
cry(-26.878) q[2], q[6];
cry(12.6016) q[6], q[4];
cry(13.2714) q[2], q[4];
ry(0.0... | null | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(0.1246) q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
294512af72c0fecd4cefe8fd6a356b5c | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [47, 109], "expectation_value": -35.43673122360108, "params": null, "bitstrings": ["11010000", "10010010"], "total_optimization_steps": 100, "probabilities": [0.11976868504268683, 0.1765281471536214], "optimization_time": 141.693261384964} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 5.0 * Z(0) + 11.5 * Z(2) + 13.0 * Z(1) + -3.0 * Z(3) + 2.0 * Z(4) + 14.0 * Z(5) + 9.5 * Z(6) + 12.5 ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-59.5], "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];
ry(22.4081) q[5];
ry(31.6164) q[7];
ry(63.0918) q[1];
ry(9.0828) q[2];
ry(1.8402) q[6];
cry(-2.0325) q[6], q[2];
cry(-4.4748) q[6], q[5];
cry(2.4258) q[6], q[7];
cry(0.0565) q[6], q[1];
cry(0.386)... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(22.4081) 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... |
-4218162182805937714 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 3, 5, 7], [2, 3, 4, 5, 6, 7], [0, 1, 2, 3, 4, 6, 7], [0, 4, 5, 6], [1, 2, 3, 4, 5, 6]]} | {"states": [231, 237], "expectation_value": -0.4832944069203477, "params": [[-0.3714], [0.377]], "bitstrings": ["00011000", "00010010"], "total_optimization_steps": 40, "probabilities": [0.006832944447458821, 0.006832944447458823], "optimization_time": 3.514019012451172} | 0.07380952380952381 * (Z(0) @ Z(1)) + 0.10714285714285715 * (Z(3) @ Z(1)) + 0.07380952380952381 * (Z(3) @ Z(0)) + 0.08333333333333334 * (Z(5) @ Z(1)) + 0.13333333333333333 * (Z(5) @ Z(0)) + 0.11666666666666667 * (Z(5) @ Z(3)) + 0.07380952380952381 * (Z(7) @ Z(1)) + 0.07380952380952381 * (Z(7) @ Z(0)) + 0.10714285714285... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.0404761904761908, -1.0404761904761908], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0071428571428576, "smallest_bitstrings": ["00010010", "00011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0548) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0796) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.0548) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0619) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
ced749a911ace56900fad75f3c85d973 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"source": 1, "ta... | {"states": [11867, 12123], "expectation_value": -4.662326034176327, "params": [[[1.0478, 0.0018000000000000002], [0.0034000000000000002, 0.638], [0.8227, 0.0064], [1.0471000000000001, -0.0021000000000000003], [1.0433000000000001, -0.0028], [0.5617, 0.038900000000000004], [0.0949, 0.5934], [1.0464, 0.003], [-0.0044, 0.8... | 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(4) @ Z(1)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + -0.0625 * (Z(0) @ Z(1) @ Z(2)) + -0.0625 * (Z(0) @ Z(1) @ Z(3)) + -0.0... | 1 | 14 | 3 | {"smallest_eigenvalues": [-5.250000000000005], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.25, "smallest_bitstrings": ["01000010100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(1.0478) q[0];
rz(0.0018) q[0];
rx(0.0034) q[1];
rz(0.638) q[1];
rx(0.8227) q[2];
rz(0.0064) q[2];
rx(1.0471) q[3];
rz(-0.0021) q[3];
rx(1.0433) q[4];
rz(-0.0028) q[4];
rx(0.5617) q[5];
rz(0.0389) q[5];
rx(0.0949) q[6];
rz(0.5934) q[6];
rx(1.0464) 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": []} |
169650653819860886 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 0, 6, 7], [1, 7], [0, 4, 5, 7], [1, 3, 4], [5, 6], [8, 2, 5], [3, 4, 5], [2, 3], [1, 2, 4, 5], [8, 3, 7]]} | {"states": [87, 425], "expectation_value": -0.11513971161387365, "params": [[0.07830000000000001], [-0.0855]], "bitstrings": ["110101000", "001010110"], "total_optimization_steps": 10, "probabilities": [0.002235038685397244, 0.0022790619163033975], "optimization_time": 0.9621970653533936} | 0.08333333333333333 * (Z(8) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.25 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(7) @ Z(6)) + 0.5 * (Z(1) @ Z(7)) + 0.08333333333333333 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(4) @ Z(7)) + 0.25 * (Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.833333333333333, "smallest_bitstrings": ["001010110"]} | 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[0], q[8];
rz(0.0131) q[8];
cx q[0], q[8];
cx q[0], q[6];
rz(0.0131) q[6];
cx q[0], q[6];
cx q[8], q[6];
rz(0.0131) q[6];
cx q[8], q[6];
cx q[0], q[7];
rz(0.0261) q[7];
cx q[0], 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] 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 ... | null | {"circuits": [], "gradients": []} |
6abfcea40fcfb2aee6e60541a981751a | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 1, "source": 2, "target": 5}, {"capacity": 1, "source": 3, ... | {"states": [25, 91], "expectation_value": -2.1972088445682085, "params": null, "bitstrings": ["11100110", "10100100"], "total_optimization_steps": 42, "probabilities": [0.16011577782086361, 0.6996868065175307], "optimization_time": 44.742839097976685} | 0.25 * (Z(0) @ Z(7)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(1) @ Z(6)) + -0.25 * (Z(2) @ Z(6)) + -0.25 * (Z(5) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(4) @ Z(6)) + 0.0 * Z(7) + -0.25 * Z(0) + -0.5 * Z(6) + 0.5 * Z(1) + 0.0 * Z(2) + -0.25 * Z(5) + 0.25 * Z(3) + 0.25 * Z(4) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.5, -2.5, -2.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.5, "smallest_bitstrings": ["10000000", "10100100", "10000100"]} | 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(1.4449) q[6], q[1];
cry(-1.0342) q[7], q[0];
ry(1.0342) q[4];
ry(1.0342) q[3];
cry(0.9791) q[1], q[6];
cry(0.9021) q[6], q[7];
ry(-0.7014) q[0];
ry(-1.0342) q[5];
cry(0.4645) q[6], q[4];
cry(0... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.4449) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = mea... |
312149616102149104 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 2], [2, 4], [0, 4], [8, 1], [3, 7], [4, 5], [5, 6]]} | {"states": [458, 488], "expectation_value": -0.07439994364511227, "params": [[0.0761], [-0.0711]], "bitstrings": ["000110101", "000010111"], "total_optimization_steps": 10, "probabilities": [0.002258542011408586, 0.002258542011408586], "optimization_time": 0.551934003829956} | 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(4) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(7) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["111101000", "111001010", "000110101", "000010111"]} | 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[8];
rz(0.0761) q[8];
cx q[2], q[8];
cx q[2], q[4];
rz(0.0761) q[4];
cx q[2], q[4];
cx q[4], q[0];
rz(0.0761) q[0];
cx q[4], q[0];
cx q[8], q[1];
rz(0.0761) q[1];
cx q[8], q[1];
... | 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[2], q[8];
rz(x0) q[8];
cx q[2], q[8];
cx q[2], q[4];
rz(x0) q[4];
cx q[2], q[4];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];... | null | {"circuits": [], "gradients": []} |
3ab147cc948c972495cc9d6b1a04d6d2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 3, "target": 4}, {"source": ... | {"states": [52, 37], "expectation_value": -3.4890656588000333, "params": null, "bitstrings": ["001011", "011010"], "total_optimization_steps": 29, "probabilities": [0.06023624492936539, 0.8645378003136043], "optimization_time": 19.542184591293335} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -2.0 * Z(4) + 0.0 * Z(0) + -0.5 * Z(1) + -0.5 * Z(5) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["011010", "000111", "010110", "001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[4];
ry(1.4449) q[0];
cry(-1.0342) q[3], q[2];
cry(-1.0342) q[5], q[1];
ry(0.7003) q[5];
ry(0.7003) q[3];
ry(-0.4549) q[2];
cry(0.4963) q[0], q[3];
ry(-0.4549) q[1];
cry(0.4963) q[0], q[5];
cry(-0.37... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
7213bcdac492d012065ef417f31c81b5 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [380, 220], "expectation_value": -19.375221478830998, "params": [[-0.0356, 0.0781], [0.0799, -0.0449]], "bitstrings": ["010000011", "100100011"], "total_optimization_steps": 10, "probabilities": [0.005938091756273408, 0.0076544132170256384], "optimization_time": 3.730128765106201} | 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(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[0];
rz(-0.3204) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.3204) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.3204) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.3204) 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": []} |
-8643836968904966374 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[2, 4, 5, 6], [1, 4], [3, 4, 5, 6], [0, 3, 4, 5], [1, 2, 5], [0, 2, 6], [2, 3]]} | {"states": [107, 86], "expectation_value": -0.0441562321951152, "params": [[0.068], [-0.057100000000000005]], "bitstrings": ["0010100", "0101001"], "total_optimization_steps": 10, "probabilities": [0.008283335506866019, 0.008283765148186462], "optimization_time": 1.4939625263214111} | 0.08333333333333333 * (Z(2) @ Z(4)) + 0.25 * (Z(5) @ Z(4)) + 0.25 * (Z(5) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.25 * (Z(6) @ Z(2)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.5 * (Z(1) @ Z(4)) + 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(3) @ Z(4)) + 0... | 1 | 7 | 1 | {"smallest_eigenvalues": [-2.333333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.333333333333333, "smallest_bitstrings": ["0101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[2];
rz(0.0113) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.034) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(0.034) q[5];
cx q[2], q[5];
cx q[4], q[6];
rz(0.0227) q[6];
cx q[4], q[6];
cx q[2], q[6];
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;
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": []} |
fc603aae74a127a53d7b15155a35177e | 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": 10, "source": 0, "target": 1}, {"weight": 12, "source": 1, "target": 2}, {"weight": 18, "source": 1, "target": 7}, {"weight": 7, "source": 2, "tar... | {"states": [413, 220], "expectation_value": -21.477964915656337, "params": [[-0.0327, -0.0061], [0.0721, 0.0703]], "bitstrings": ["001100010", "100100011"], "total_optimization_steps": 10, "probabilities": [0.006449063363848856, 0.007579692550895878], "optimization_time": 3.571204900741577} | 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(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(3)) + 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)) + 4.5 * (Z(8) @ Z(2)) + 13.5 * Z(2) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-76.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -68.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(-0.2943) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2943) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2943) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.2943) 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": []} |
92977879d93808800c1e23dcfc7674ef | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3... | {"states": [0, 1], "expectation_value": -7.745831462960979, "params": null, "bitstrings": ["1111111", "1111110"], "total_optimization_steps": 16, "probabilities": [0.004146169462670658, 0.9958365055879695], "optimization_time": 11.818808555603027} | -0.25 * (Z(0) @ Z(2)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -1.25 * (Z(3) @ Z(2)) + -1.75 * (Z(3) @ Z(5)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * (Z(4) @ Z(3)) + 1.0 * Z(2) + -0.25 * Z(0) + -0.25 * Z(5) + 0.0 * Z(1) + 0.25 * Z(6) + -1.5 * Z(3) + 0.... | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.75, -7.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.75, "smallest_bitstrings": ["1000000", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5708) q[5];
ry(-1.5486) q[2];
ry(-1.5706) q[4];
ry(-1.5706) q[1];
ry(-1.4448) q[0];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[0];
cry(-0.0222) q[6], q[2];
cry(0.0011) q[6], q[3];
c[0] ... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
69144809aea48cb46eae9c3950f24a15 | graph_coloring | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 1}, {"id": 2}, {"id": 0}, {"id": 3}], "edges": [{"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 0, "target": 3}]} | {"states": [3443, 3445], "expectation_value": -6.245388836691124, "params": null, "bitstrings": ["001010001100", "001010001010"], "total_optimization_steps": 100, "probabilities": [0.0570046881067329, 0.8149526781416564], "optimization_time": 258.7068223953247} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.25 * (Z(6) @ Z(3)) + 0.25 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(9) @ Z(6)) + 0.25 * (Z(9) @ Z(0)) + 0.25 * ... | 1 | 12 | 2 | {"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": ["010001010100", "010001010001", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
ry(1.5681) q[11];
ry(1.5681) q[7];
ry(1.5486) q[5];
ry(1.5486) q[1];
ry(1.4449) q[6];
cry(-1.4432) q[6], q[8];
cry(-1.0342) q[9], q[10];
ry(1.069) q[9];
cry(-0.... | null | {"number_of_colors": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[12] c;\nqubit[12] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\nh q[11];\nry(1.5681) q[11];\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];... |
44024677ca28b32241620a387d32f127 | 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": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 3}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [254, 1], "expectation_value": -3.1054125772801173, "params": [[-0.058, -0.06570000000000001], [0.0722, 0.0761]], "bitstrings": ["00000001", "11111110"], "total_optimization_steps": 10, "probabilities": [0.009934473814401285, 0.010370930075020017], "optimization_time": 3.759438991546631} | -1.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(0)) + 2.75 * (Z(7) @ Z(0)) + -1.0 * (Z(1) @ Z(3)) + -1.0 * (Z(6) @ Z(2)) + -1.25 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(1)) + -1.0 * (Z(5) @ Z(2)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(7)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(4) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-15.5, -15.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -14.5, "smallest_bitstrings": ["11110110", "11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(0.145) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(0.087) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(0.145) q[3];
cx q[0], q[3];
cx q[0], q[7];
rz(-0.319) q[7];
cx q[0], q[7];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
b10e647670f759bc4f3dd1387515cbab | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [22, 50], "expectation_value": -3.49639804156796, "params": null, "bitstrings": ["101001", "001101"], "total_optimization_steps": 23, "probabilities": [0.06635196634149224, 0.9303270202936694], "optimization_time": 18.808336973190308} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(5) + 0.0 * Z(1) + -0.5 * Z(4) | 1 | 6 | 2 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001101", "101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[2];
ry(-1.4449) q[5];
ry(1.4417) q[1];
ry(1.4417) q[4];
cry(-1.0342) q[0], q[3];
ry(0.7003) q[0];
cry(-0.1259) q[4], q[5];
ry(-0.4549) q[3];
cry(0.4962) q[4], q[0];
cry(-0.3788) q[4], q[3];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
2cf8f1b3193f01cb2675e856b037cdac | 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": [924, 920], "expectation_value": -103.39888573438694, "params": [0.2876, 0.378, 0.9953000000000001, 0.0021000000000000003, 0.9918, -0.0369, 0.9975, 0.2902, 0.38330000000000003, 0.537, 0.1476, 0.41100000000000003, 0.998, 0.0029000000000000002, 0.9947, 0.1233, 0.49000000000000005, 0.2645, 0.0, -0.6191, 0.0037,... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(6) @ Z(4)) + 7.0 * (Z(7) @ Z(1)) + 7.0 * (Z(7) @ Z(5)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(7)) + 13.0 * Z(2) + 20.5 * Z(1) + 4.0 * Z(0) + 4.5 * Z(4) + 2.... | 18 | 11 | 3 | {"smallest_eigenvalues": [-117.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -108.5, "smallest_bitstrings": ["10001100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.2876) q[0];
rz(0.378) q[0];
rx(0.9953) q[1];
rz(0.0021) q[1];
rx(0.9918) q[2];
rz(-0.0369) q[2];
rx(0.9975) q[3];
rz(0.2902) q[3];
rx(0.3833) q[4];
rz(0.537) q[4];
rx(0.1476) q[5];
rz(0.411) q[5];
rx(0.998) q[6];
rz(0.0029) q[6];
rx(0.9947) q[7];
rz(0.1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
9ccf6afa8b8c5406913704edea133762 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 1, "source": 1, "target": 3}, {"capac... | {"states": [512, 511], "expectation_value": -0.6194257996874518, "params": [[0.0648], [-0.061000000000000006]], "bitstrings": ["0111111111", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.0013932523147411886, 0.0014015065296633868], "optimization_time": 3.7413690090179443} | -0.25 * (Z(0) @ Z(7)) + -0.75 * (Z(8) @ Z(7)) + -0.25 * (Z(8) @ Z(0)) + -0.5 * (Z(3) @ Z(7)) + -0.25 * (Z(1) @ Z(3)) + -0.75 * (Z(4) @ Z(8)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(1)) + -0.75 * (Z(5) @ Z(1)) + -0.75 * (Z(6) @ Z(7)) + -0.75 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * (Z(6... | 1 | 10 | 1 | {"smallest_eigenvalues": [-13.25, -13.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.25, "smallest_bitstrings": ["1000000000", "1000010000"]} | 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[7], q[0];
rz(-0.0324) q[0];
cx q[7], q[0];
cx q[7], q[8];
rz(-0.0972) q[8];
cx q[7], q[8];
cx q[0], q[8];
rz(-0.0324) q[8];
cx q[0], q[8];
cx q[7], q[3];
rz(-0.0648) q[3];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [1, 97], "expectation_value": -16.8858827725135, "params": [0.0013000000000000002, 0.7895000000000001, 0.35860000000000003, 1.0616, -0.7159, -0.009600000000000001, 0.00030000000000000003, 0.8643000000000001, -0.0038, 1.0435, -0.0054, 1.0723, 0.0024000000000000002, 0.8719, 0.787, -0.0011, -0.00690000000000000... | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(6)) + -1.25 * (Z(7) @ Z(1)) + 2.5 * (Z(7) @ Z(0)) + -1.0 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @... | 4 | 8 | 4 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.5, "smallest_bitstrings": ["10011110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0013) q[0];
rz(0.7895) q[0];
rx(0.3586) q[1];
rz(1.0616) q[1];
rx(-0.7159) q[2];
rz(-0.0096) q[2];
rx(0.0003) q[3];
rz(0.8643) q[3];
rx(-0.0038) q[4];
rz(1.0435) q[4];
rx(-0.0054) q[5];
rz(1.0723) q[5];
rx(0.0024) q[6];
rz(0.8719) q[6];
rx(0.787) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
1f004d7ba4b4dbe69a30d8efdf409fa2 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 0, "id": 6}, {"bipartite": 0, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [423, 167], "expectation_value": -93.49299567085201, "params": [0.0001, 0.6468, -0.0036000000000000003, 0.5785, 0.4958, -0.1694, 0.8965000000000001, -0.046, 0.281, 0.39930000000000004, 0.9044000000000001, 0.202, -0.0026000000000000003, 0.6739, -0.001, -0.45330000000000004, 0.8998, -0.0279, 0.8976000000000001... | 7.5 * (Z(2) @ Z(3)) + 7.5 * (Z(1) @ Z(5)) + 7.5 * (Z(4) @ Z(5)) + 7.5 * (Z(7) @ Z(3)) + 7.5 * (Z(8) @ Z(2)) + 7.5 * (Z(9) @ Z(2)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10) @ Z(4)) + 7.5 * (Z(10) @ Z(9)) + 8.0 * Z(3) + 11.0 * Z(2) + 9.5 * Z(5) + -7.0 * Z(1) + 2.0 * Z(4) + -3.0 * Z(7) + 9.0 * Z(8) + 15.5 * Z(9) + 10.0 * Z(10)... | 16 | 11 | 3 | {"smallest_eigenvalues": [-111.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -102.5, "smallest_bitstrings": ["11101011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0001) q[0];
rz(0.6468) q[0];
rx(-0.0036) q[1];
rz(0.5785) q[1];
rx(0.4958) q[2];
rz(-0.1694) q[2];
rx(0.8965) q[3];
rz(-0.046) q[3];
rx(0.281) q[4];
rz(0.3993) q[4];
rx(0.9044) q[5];
rz(0.202) q[5];
rx(-0.0026) q[6];
rz(0.6739) q[6];
rx(-0.001) 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, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 4, "source": 0, "target": 1}, {"weight": 15, "source": 0, "target": 2}, {"weight": 11, "source": 1, "target": 6}, {"weight": 16, "source": 1, "target": 2}, {... | {"states": [118, 117], "expectation_value": -15.862887786353529, "params": [[0.0494, -0.004, -0.0016, 0.026600000000000002], [-0.0695, -0.025500000000000002, -0.0251, -0.038700000000000005]], "bitstrings": ["10001001", "10001010"], "total_optimization_steps": 10, "probabilities": [0.013691175475219648, 0.01617122222047... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(2) @ Z(3)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 11.5 * Z(1) + 6.0 * Z(0) + 9.5 * Z(3) + 16.0 * Z(2) + 5.0 * Z(4) + 7.0 * Z(5) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-57.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -51.0, "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(0.3952) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(0.3952) q[3];
cx q[0], q[3];
cx q[1], q[2];
rz(0.3952) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3952) q[2];
cx q[0], q[2];
cx q[3],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
878d094d83cd61d556f3c6e9e2f56136 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 6}, {"capacity": 5, "source": 2, ... | {"states": [31, 63], "expectation_value": -12.76589739412511, "params": [0.0026000000000000003, 0.0025, 0.0025, 0.0025, -0.9077000000000001, -0.8696, -1.6577000000000002, -1.4932, -0.0149, 0.0149, -0.4025, 0.3422, 1.5813000000000001, -1.5915000000000001, -1.5737, -1.5737, 0.0029000000000000002, 1.8385, -2.5220000000000... | -1.25 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(0)) + -1.5 * (Z(6) @ Z(1)) + -0.25 * (Z(5) @ Z(1)) + -1.25 * (Z(5) @ Z(2)) + -1.25 * (Z(5) @ Z(6)) + -1.0 * (Z(3) @ Z(5)) + -0.75 * (Z(4) @ Z(3)) + 2.5 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(6)) + -1.0 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -2.5 * Z(1) + -... | 14 | 8 | 1 | {"smallest_eigenvalues": [-13.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.25, "smallest_bitstrings": ["11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.0026) q[0];
ry(0.0025) q[1];
ry(-0.9077) q[2];
ry(-1.6577) q[3];
ry(-0.0149) q[4];
ry(-0.4025) q[5];
ry(1.5813) q[6];
ry(-1.5737) q[7];
crx(0.0029) q[7], q[0];
crx(-0.6567) q[6], q[7];
crx(1.1651) q[5], q[6];
crx(2.2692) q[4], q[5];
crx(0.0804) q[3], 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": 7} | {"circuits": [], "gradients": []} |
fbed7eb759f2b5af245b5b20e03cfb23 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [32, 1], "expectation_value": -27.368704092205107, "params": [[-0.0478, -0.0051, 0.0071, 0.0126], [0.07640000000000001, 0.0724, 0.07150000000000001, 0.0656]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.0632235959638142, 0.06728534113401297], "optimization_time": 9... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 2... | 11 | 6 | 4 | {"smallest_eigenvalues": [-40.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -38.0, "smallest_bitstrings": ["111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.2629) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2629) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2629) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2629) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
-8138354842590864836 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [8, 4], [0, 2], [0, 4, 5], [8, 2], [3, 4, 6], [3, 7], [0, 1, 3], [8, 6], [1, 4], [2, 4, 7], [2, 3, 4], [2, 3, 5], [2, 5, 6], [4, 5, 6], [6, 7], [1, 5]]} | {"states": [252, 124], "expectation_value": -1.3229559837160298, "params": [0.7387, 0.7467, 0.7622, 0.6953, 0.995, 1.0018, 1.0003, 0.996, 0.9988, 0.9958, 0.9922000000000001, 0.9937, 0.9993000000000001, 0.9996, 0.6024, 0.7020000000000001, 0.5393, 0.5374, 0.5879, 0.5764, 0.1736, 0.5263, 0.9898, 0.4716, 0.8497, 0.94270000... | 0.5 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(8)) + 0.16666666666666666 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(4)) + 0.3333333333333333 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(8)) + 0.3333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.33333... | 14 | 9 | 1 | {"smallest_eigenvalues": [-5.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.166666666666665, "smallest_bitstrings": ["110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.7387) q[0];
ry(0.7622) q[1];
ry(0.995) q[2];
ry(1.0003) q[3];
ry(0.9988) q[4];
ry(0.9922) q[5];
ry(0.9993) q[6];
ry(0.6024) q[7];
ry(0.5393) q[8];
crx(0.5879) q[8], q[0];
crx(0.5392) q[7], q[8];
crx(-0.5012) q[6], q[7];
crx(0.3195) q[5], q[6];
crx(0.3841)... | OPENQASM 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": []} |
eb3eedc1aa3e0fb1f928862c6e0193a7 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2},... | {"states": [2047, 127], "expectation_value": -0.7806345482853103, "params": [[0.031200000000000002], [-0.034800000000000005]], "bitstrings": ["00000000000", "11110000000"], "total_optimization_steps": 10, "probabilities": [0.0006247867844445664, 0.0006294195410024787], "optimization_time": 4.3633904457092285} | -2.5 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -2.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -2.5 * (Z(8) @ Z(6)) + -2.5 * (Z(8) @ Z(4)) + -2.5 * (Z(10) @ Z(6)) + -2.5 * (Z(10) @ Z(4)) + -3.0 * (Z(10) @ Z(8)) + 0.5 * (Z(5) @ Z(10)) + 0.5 * (Z(7) @ Z(6))... | 1 | 11 | 1 | {"smallest_eigenvalues": [-34.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -32.0, "smallest_bitstrings": ["11110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], q[0];
rz(-0.156) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.156) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.156) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.156) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cx q[1], ... | {"node": 1} | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [230, 239], "expectation_value": -24.24736504694284, "params": null, "bitstrings": ["00011001", "00010000"], "total_optimization_steps": 80, "probabilities": [0.043382921721551566, 0.8506151438784146], "optimization_time": 107.16880083084106} | 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 1.5 * (Z(7) @ Z(5)) + 1.5 * (Z(7) @ Z(4)) + 3.0 * (Z(7) @ Z(6)) + 0.5 * (Z(0) @ Z(4)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 1.0 * (Z(2) @ Z(4)) + 0.8333333333333334 * (Z(2) @ Z(0)) + 1.6666666666666667 * (Z(2) @ Z(1)) + 3.5 * Z(5) ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-26.166666666666668], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -26.000000000000004, "smallest_bitstrings": ["00010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-5.3058) q[7];
ry(0.3258) q[4];
ry(0.5183) q[1];
ry(1.0424) q[6];
ry(1.255) q[2];
cry(-1.411) q[2], q[7];
cry(0.2674) q[6], q[7];
cry(0.4349) q[1], q[7];
cry(1.0375) q[4], q[7];
cry(1.0415) q[2... | null | {"source": 0, "sink": 3} | {"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(-5.3058) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
b26d6c20d4752d0ec22bcb79bb0fd7c3 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 4}, {"source": 1, "target": 8}, {"sour... | {"states": [108, 236], "expectation_value": -5.086373773132575, "params": [[[0.0606, 0.32880000000000004], [0.6125, -0.0023], [0.7104, -0.0035], [0.7048, -0.002], [0.3121, 0.1413], [0.6976, 0.0013000000000000002], [0.7014, 0.0006000000000000001], [0.064, -0.32370000000000004], [0.0049, 0.37220000000000003]], [[0.052700... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(8)) + -1.0 * Z(1) + -1.0 * Z(0) + 0.0 * Z(6) + -3.0 * Z(8) + -... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.5, -6.5, -6.5, -6.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.5, "smallest_bitstrings": ["010000111", "100110001", "100010011", "110000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0606) q[0];
rz(0.3288) q[0];
rx(0.6125) q[1];
rz(-0.0023) q[1];
rx(0.7104) q[2];
rz(-0.0035) q[2];
rx(0.7048) q[3];
rz(-0.002) q[3];
rx(0.3121) q[4];
rz(0.1413) q[4];
rx(0.6976) q[5];
rz(0.0013) q[5];
rx(0.7014) q[6];
rz(0.0006) q[6];
rx(0.064) 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": []} |
4743a42b98680c4f321c8f72a752812d | 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": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 4, "source": 3, "target": 4}, {"capaci... | {"states": [30, 447], "expectation_value": -3.9238901595121654, "params": [[-0.1043], [0.1663]], "bitstrings": ["111100001", "001000000"], "total_optimization_steps": 20, "probabilities": [0.003728748725758382, 0.0037544739893679725], "optimization_time": 4.366474151611328} | -0.5 * (Z(0) @ Z(3)) + -0.5 * (Z(1) @ Z(3)) + 0.33333333333333337 * (Z(1) @ Z(0)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @ Z(8)) + 1.0 * (Z(5) @ Z(3)) + -1.0 * (Z(5) @ Z(7)) + -1.0 * (Z(5) @ Z(8)) + 2.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6... | 1 | 9 | 1 | {"smallest_eigenvalues": [-12.166666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.833333333333334, "smallest_bitstrings": ["001000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[3], q[0];
rz(0.1043) q[0];
cx q[3], q[0];
cx q[3], q[1];
rz(0.1043) q[1];
cx q[3], q[1];
cx q[0], q[1];
rz(-0.0695) q[1];
cx q[0], q[1];
cx q[3], q[7];
rz(0.1043) q[7];
cx q[3], q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
4d778fc08d555f5d794c80ebdd4cf032 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "s... | {"states": [0, 1], "expectation_value": -12.603900186886722, "params": [0.0032, 0.5028, 0.0027, 0.6035, 0.0029000000000000002, -0.597, 0.0025, 0.5956, 0.0023, -0.5943, 0.0023, 0.601, 0.006200000000000001, -0.0036000000000000003, -0.0028, 0.6046, 0.8097000000000001, 0.0086, 0.0033, 0.0076, 0.0027, 0.005, 0.0029000000000... | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -0.5 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.0 * (Z(6) @ Z(4)) + -0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(6)) + 2.75 * (Z(8) @ Z(0)) + -0.75 * (Z(8) @ Z(6)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(4)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(5) @ ... | 3 | 9 | 2 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0032) q[0];
rz(0.5028) q[0];
rx(0.0027) q[1];
rz(0.6035) q[1];
rx(0.0029) q[2];
rz(-0.597) q[2];
rx(0.0025) q[3];
rz(0.5956) q[3];
rx(0.0023) q[4];
rz(-0.5943) q[4];
rx(0.0023) q[5];
rz(0.601) q[5];
rx(0.0062) q[6];
rz(-0.0036) q[6];
rx(-0.0028) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
e2d42d54466cad0e47a576fec07e2be9 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 4}, {"weight": 15, "source": 1, "target": 6}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -11.75917601685466, "params": [[0.040600000000000004, 0.016800000000000002], [-0.0555, -0.04]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 10, "probabilities": [0.008508568859513317, 0.009220349816254757], "optimization_time": 3.027496576309204} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 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(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 17.0 * Z(1) + 4.0 * Z(0) + 7.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-64.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -57.5, "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(0.3248) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3248) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(0.3248) q[4];
cx q[1], q[4];
cx q[4], q[3];
rz(0.3248) q[3];
cx q[4], q[3];
cx 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
79ecc4847db5af37782a1c862369b0e5 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 3, "target": 4}, {"source": ... | {"states": [499, 511], "expectation_value": -11.505179929199343, "params": null, "bitstrings": ["1000001100", "1000000000"], "total_optimization_steps": 100, "probabilities": [0.12653636164678111, 0.43554821970170066], "optimization_time": 155.24094557762146} | -2.0 * (Z(2) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(2)) + -2.0 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + 0.5 * (Z(1) @ Z(9)) + -1.5 * (Z(1) @ Z(8)) + 0.5 * Z(4) + 0.5 * Z(2) + 0.5 * Z(5) + 0.5 * Z(3) + 0.5 * Z(7) + 0.5 * Z(6) + 0.5 * Z(9) + 0.... | 5 | 10 | 1 | {"smallest_eigenvalues": [-15.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -14.0, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cry(1.5706) q[5], q[4];
cry(1.5708) q[4], q[2];
cry(1.2306) q[2], q[5];
cry(0.4422) q[2], q[4];
cry(1.5705) q[4], q[3];
cry(1.5681) q[9], q[8];
cry(1.231) q[8], q[9];
cry(1.57) q... | null | {"node": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\ncry(1.5706) q[5], 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] = measu... |
6e936c9031f4ef335042a74fa41c3e34 | 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": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 3, "target": 2}, {"capacity": 2, "source": 3, "target": 6... | {"states": [29, 35], "expectation_value": -0.28459950550059254, "params": [[0.0697, 0.0585], [-0.06380000000000001, -0.049]], "bitstrings": ["1100010", "1011100"], "total_optimization_steps": 10, "probabilities": [0.009668064585006464, 0.009717556832120106], "optimization_time": 2.378544330596924} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(2) @ Z(3)) + 1.25 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(3)) + -0.25 * (Z(1) @ Z(5)) + 0.0 * Z(4) + -0.25 * Z(0) + 0.25 * Z(5) + 0.5 * Z(3) + -0.5 * Z(2) + 0.25 * Z(6) + -0.25 * Z(1) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 15, "first_excited_energy": -2.0, "smallest_bitstrings": ["1111100", "1111110", "1100010", "1100000", "1100110", "1100100", "1000100", "1011100", "1010100", "1000000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[4], q[0];
rz(-0.0697) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(-0.0697) q[5];
cx q[0], q[5];
cx q[4], q[3];
rz(-0.0697) q[3];
cx q[4], q[3];
cx q[3], q[2];
rz(-0.0697) q[2];
cx q[3], q[2];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0df4df25c74ca38eb293288a64f6d090 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [82, 210], "expectation_value": -2.3905373940845656, "params": [0.4345, 0.43510000000000004, 0.6019, 0.6029, 0.2174, 0.21530000000000002, 0.6, 0.5985, 0.21000000000000002, 0.20770000000000002, -0.0085, -0.008400000000000001, 0.6042000000000001, 0.6042000000000001, 0.0051, 0.0043, 0.437, 0.4319, 0.60010000000... | 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(4) @ Z(3)) + -0.25 * (Z(0) @ Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (... | 13 | 8 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.25, "smallest_bitstrings": ["10001101", "10000111", "01001011", "10100101", "00101101", "01010011", "01001101", "00110101", "11000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.4345) q[0];
ry(0.6019) q[1];
ry(0.2174) q[2];
ry(0.6) q[3];
ry(0.21) q[4];
ry(-0.0085) q[5];
ry(0.6042) q[6];
ry(0.0051) q[7];
crz(0.0732) q[7], q[0];
crz(-0.003) q[6], q[7];
crz(0.1539) q[5], q[6];
crz(0.1883) q[4], q[5];
crz(0.1107) q[3], q[4];
crz(0.19... | OPENQASM 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": []} |
5065477939106174919 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 1, 2, 5], [1, 2, 3, 4, 5, 6, 7], [0, 1, 3, 4, 5, 6, 7], [0, 1, 2, 3, 6, 7], [0, 1, 2, 3, 4, 7]]} | {"states": [175, 190], "expectation_value": -0.43785254035861776, "params": [[-0.3411], [0.3406]], "bitstrings": ["01010000", "01000001"], "total_optimization_steps": 40, "probabilities": [0.006300913162467678, 0.006300913162467681], "optimization_time": 4.109347581863403} | 0.1738095238095238 * (Z(0) @ Z(1)) + 0.1738095238095238 * (Z(2) @ Z(1)) + 0.15 * (Z(2) @ Z(0)) + 0.13095238095238093 * (Z(5) @ Z(1)) + 0.10714285714285714 * (Z(5) @ Z(0)) + 0.10714285714285714 * (Z(5) @ Z(2)) + 0.11428571428571427 * (Z(3) @ Z(1)) + 0.09047619047619047 * (Z(3) @ Z(0)) + 0.09047619047619047 * (Z(3) @ Z(2... | 1 | 8 | 1 | {"smallest_eigenvalues": [-1.030952380952381], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.0309523809523808, "smallest_bitstrings": ["01000001"]} | 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(-0.1186) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1186) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1023) q[2];
cx q[0], q[2];
cx q[1], q[5];
rz(-0.0893) q[5];
cx q[1], q[5];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
00c47f772e828bc0d4453cbe4002ef93 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [21, 7], "expectation_value": -12.59364044578392, "params": null, "bitstrings": ["1101010", "1111000"], "total_optimization_steps": 63, "probabilities": [0.10610002632784891, 0.6139460215007818], "optimization_time": 85.26757383346558} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 *... | 10 | 7 | 4 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5577) q[1];
cry(-1.5708) q[6], q[3];
ry(0.8469) q[6];
cry(-1.5708) q[5], q[2];
cry(-1.5707) q[4], q[0];
ry(1.1096) q[4];
ry(-0.4548) q[0];
ry(0.8206) q[5];
ry(-0.3832) q[3];
ry(-0.335) q[2];
cry(0.4... | null | {"k": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5577) q[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", ... |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [61, 53], "expectation_value": -0.5450438632100707, "params": [[-0.0758], [0.0695]], "bitstrings": ["1000010", "1001010"], "total_optimization_steps": 10, "probabilities": [0.01016896850547395, 0.01052154498350126], "optimization_time": 1.480076789855957} | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"]} | 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[5], q[0];
rz(0.1137) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.1516) q[6];
cx q[0], q[6];
cx q[6], q[1];
rz(0.0758) q[1];
cx q[6], q[1];
cx q[1], q[4];
rz(0.2274) q[4];
cx q[1], q[4];
cx q[5], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
cc282aa6420cd18a4c9a3c3d0b07ee00 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [27221, 43605], "expectation_value": -2.0091456958734937, "params": [-1.3056, -0.5579000000000001, 0.7265, 0.7279, 0.7966000000000001, 0.7956000000000001, -0.0037, 0.0004, 0.7879, 0.789, 0.00030000000000000003, 0.0082, 1.1299000000000001, 0.7043, 0.6983, 0.6894, 0.0025, -0.0056, 0.7875000000000001, 0.7899, -... | 0.25 * (Z(0) @ Z(1)) + -0.0006656804733727812 * (Z(2) @ Z(0)) + -0.0006656804733727812 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00029585798816568053 * (Z(4) @ Z(0)) + -0.0003698224852071006 * (Z(4) @ Z(2)) + 0.00029585798816568053 * (Z(5) @ Z(1)) + -0.0003698224852071006 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 13 | 16 | 2 | {"smallest_eigenvalues": [-2.01671597633128], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0167159763312656, "smallest_bitstrings": ["0101010110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(-1.3056) q[0];
ry(0.7265) q[1];
ry(0.7966) q[2];
ry(-0.0037) q[3];
ry(0.7879) q[4];
ry(0.0003) q[5];
ry(1.1299) q[6];
ry(0.6983) q[7];
ry(0.0025) q[8];
ry(0.7875) q[9];
ry(-0.0195) q[10];
ry(0.7903) q[11];
ry(-0.0261) q[12];
ry(0.7867) q[13];
ry(-0.0055) ... | 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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
-3818514027649433192 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4, 5, 6, 7], [1, 3, 5, 6, 7], [0, 3]]} | {"states": [229, 230], "expectation_value": -0.018288484662662176, "params": [[-0.076], [0.07730000000000001]], "bitstrings": ["00011010", "00011001"], "total_optimization_steps": 10, "probabilities": [0.004052591569442851, 0.004052591569442851], "optimization_time": 2.35894775390625} | 0.05 * (Z(2) @ Z(4)) + 0.05 * (Z(5) @ Z(4)) + 0.05 * (Z(5) @ Z(2)) + 0.05 * (Z(6) @ Z(4)) + 0.05 * (Z(6) @ Z(2)) + 0.1 * (Z(6) @ Z(5)) + 0.05 * (Z(7) @ Z(4)) + 0.05 * (Z(7) @ Z(2)) + 0.1 * (Z(7) @ Z(5)) + 0.1 * (Z(7) @ Z(6)) + 0.05 * (Z(1) @ Z(5)) + 0.05 * (Z(1) @ Z(6)) + 0.05 * (Z(1) @ Z(7)) + 0.05 * (Z(3) @ Z(5)) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, -0.8999999999999999, ... | 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[4], q[2];
rz(-0.0076) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(-0.0076) q[5];
cx q[4], q[5];
cx q[2], q[5];
rz(-0.0076) q[5];
cx q[2], q[5];
cx q[4], q[6];
rz(-0.0076) q[6];
cx q[4], q[6];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
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[4], q[2];
rz(x0) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(x0) q[5];
cx q[... | null | {"circuits": [], "gradients": []} |
20a60ed013bc1976376f734be7d8d92c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [1, 3], "expectation_value": -1.078653157038702, "params": [[[0.7024, -0.6685], [0.1222, -0.6859000000000001], [0.2061, 0.6829000000000001], [0.6987, -0.15430000000000002]], [[0.6959000000000001, 0.0095], [0.0362, 0.2558], [0.46880000000000005, 0.266], [0.6784, 0.7032]]], "bitstrings": ["1110", "1100"], "tot... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + -0.5 * Z(2) + -0.5 * Z(0) + -0.5 * Z(3) + -0.5 * Z(1) | 15 | 4 | 2 | {"smallest_eigenvalues": [-2.0, -2.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.0, "smallest_bitstrings": ["1100", "0011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
ry(0.7024) q[0];
ry(0.1222) q[1];
ry(0.2061) q[2];
ry(0.6987) q[3];
cx q[3], q[0];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(-0.6685) q[0];
ry(-0.6859) q[1];
ry(0.6829) q[2];
ry(-0.1543) q[3];
cx q[3], q[2];
cx q[0], q[3];
cx q[0], q[1];
cx q[1], q[2];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
3a1b6a9bf7270007712b664c84a12e64 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, ... | {"states": [116, 113], "expectation_value": -5.499898991887372, "params": null, "bitstrings": ["0001011", "0001110"], "total_optimization_steps": 33, "probabilities": [1.6350254322700684e-05, 0.999930372763856], "optimization_time": 28.810192346572876} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(3) + -1.0 * Z(0) + -1.0 * Z(4) + -1.5 * Z(5) + 0.0 * Z(1) + 0.0 * Z(2) + -1.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["0001110"]} | 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[5];
ry(-1.4449) q[4];
ry(1.4449) q[2];
ry(1.4449) q[1];
ry(1.4417) q[0];
ry(1.4417) q[6];
cry(-0.1259) q[6], q[4];
cry(0.1217) q[2], q[0];
cry(0.1216) q[0], q[6];
cry(0.118... | 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", ... |
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": [59, 58], "expectation_value": -0.37233878357113037, "params": [[0.013800000000000002, -0.0029000000000000002, -0.0074, 0.31320000000000003, 0.667, -0.0006000000000000001, 0.16770000000000002, -0.044700000000000004], [-0.004, -0.0047, 0.8932, -1.1312, 1.5296, 0.9630000000000001, 0.0002, 0.4424], [0.5461, -0.... | 0.25 * (Z(1) @ Z(2)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.125 * (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) ... | 9 | 8 | 4 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0138) q[0];
rx(-0.0029) q[1];
rx(-0.0074) q[2];
rx(0.3132) q[3];
rx(0.667) q[4];
rx(-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": []} |
9e72b7dd0d69a46b7f007aaed5517323 | 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": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 2, "target": 4}, {"source": 3, "target": 5}]} | {"states": [19, 22], "expectation_value": -0.8276102900494595, "params": [[-0.0621, -0.0747, -0.06380000000000001, -0.0671], [0.0646, 0.0738, 0.0651, 0.06420000000000001]], "bitstrings": ["101100", "101001"], "total_optimization_steps": 10, "probabilities": [0.02923957522395125, 0.02923957522395125], "optimization_time... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * Z(1) + 0.0 * Z(0) + -1.5 * Z(2) + -0.5 * Z(3) + -0.5 * Z(5) + 0.0 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.0, "smallest_bitstrings": ["011100", "011001", "101001", "101100"]} | 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(-0.0621) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0621) q[2];
cx q[1], q[2];
cx q[2], q[3];
rz(-0.0621) q[3];
cx q[2], q[3];
cx q[2], q[5];
rz(-0.0621) q[5];
cx q[2], q[5];
cx q[3], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
667876742186281536 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4], [1, 4, 5, 6, 7], [8, 1, 5, 0], [0, 1, 3, 6, 7, 8], [1, 3, 4, 7, 8], [0, 1, 5, 7], [8, 3, 5], [0, 2, 3, 6, 8], [1, 2, 3, 5], [0, 3, 4, 6, 7, 8], [0, 1, 3, 5], [0, 1, 2, 6]]} | {"states": [318, 382], "expectation_value": -2.4800143734340123, "params": [1.6718000000000002, -0.0858, 1.2312, 0.0035, 0.5667, 0.0303, 0.2978, 0.0033, 1.3292000000000002, -0.41050000000000003, 0.9132, 0.0051, 1.659, -0.0838, 1.0311000000000001, 0.0014, 1.6811, -0.0884, 1.3921000000000001, 0.0066, 1.6669, -0.0952, 1.3... | 0.41666666666666663 * (Z(0) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(1)) + 0.18333333333333335 * (Z(2) @ Z(0)) + 0.3 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(3) @ Z(2)) + 0.15000000000000002 * (Z(4) @ Z(1)) + 0.08333333333333334 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + 0.13333333333333333 * (Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-2.6666666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5833333333333335, "smallest_bitstrings": ["010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.6718) q[0];
rz(-0.0858) q[0];
rx(0.5667) q[1];
rz(0.0303) q[1];
rx(1.3292) q[2];
rz(-0.4105) q[2];
rx(1.659) q[3];
rz(-0.0838) q[3];
rx(1.6811) q[4];
rz(-0.0884) q[4];
rx(1.6669) q[5];
rz(-0.0952) q[5];
rx(1.6739) q[6];
rz(-0.098) q[6];
rx(1.6849) 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": []} |
953796ca4b6137c6c134989cdf6bb9e5 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 2, ... | {"states": [0, 1], "expectation_value": -11.601190980867525, "params": [[[-0.0015, 0.0037], [0.0026000000000000003, 0.0024000000000000002], [0.0024000000000000002, 0.0045000000000000005], [0.0026000000000000003, 0.008400000000000001], [0.0024000000000000002, 0.005], [-0.0027, 0.0063], [0.0025, 0.0094], [1.6113000000000... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(0)) + -1.5 * (Z(2) @ Z(3)) + -1.0 * (Z(1) @ Z(2)) + -2.0 * (Z(4) @ Z(6)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(5) @ Z(3)) + -0.75 * (Z(5) @ Z(6)) + -0.75 * (Z(5) @ Z(2)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.5 * Z(3) + -0.25 * Z(0) + -1.0 * Z(6) + 2.5 * Z(2) + -1.0 * Z... | 1 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.0, "smallest_bitstrings": ["11111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0015) q[0];
rz(0.0037) q[0];
rx(0.0026) q[1];
rz(0.0024) q[1];
rx(0.0024) q[2];
rz(0.0045) q[2];
rx(0.0026) q[3];
rz(0.0084) q[3];
rx(0.0024) q[4];
rz(0.005) q[4];
rx(-0.0027) q[5];
rz(0.0063) q[5];
rx(0.0025) q[6];
rz(0.0094) q[6];
rx(1.6113) 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] 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] ... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
f5111a52f17f533e17f8c384d135402e | 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": 6, "source": 0, "t... | {"states": [181, 174], "expectation_value": -26.61236953399303, "params": [[0.020800000000000003, 0.004200000000000001, -0.0019], [-0.063, -0.061700000000000005, -0.0521]], "bitstrings": ["101001010", "101010001"], "total_optimization_steps": 10, "probabilities": [0.006171432821928855, 0.007062723736314599], "optimizat... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(0)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(8)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(8)) + 4.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.5, "smallest_bitstrings": ["101010001"]} | 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(0.1872) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1872) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1872) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1872) q[3];
cx q[0], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
7826151928867212372 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[0, 5, 7], [4, 6, 7, 8, 9], [2, 5], [0, 1, 6], [0, 3, 6], [1, 2, 3, 7], [0, 8, 5], [3, 4], [1, 5, 6, 7, 9]]} | {"states": [349, 350], "expectation_value": -2.2021051934024722, "params": [0.667, 0.6712, 1.4755, 1.4948000000000001, 0.2393, 0.21860000000000002, 1.4962, 1.4991, 0.2808, 0.22490000000000002, 1.4939, 1.4925000000000002, 1.4807000000000001, 1.4808000000000001, 1.4692, 1.4741, 1.4754, 1.4811, 0.8621000000000001, 0.75040... | 0.3333333333333333 * (Z(0) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.05 * (Z(4) @ Z(7)) + 0.05 * (Z(6) @ Z(5)) + 0.3333333333333333 * (Z(6) @ Z(0)) + 0.1 * (Z(6) @ Z(7)) + 0.05 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(8) @ Z(5)) + 0.16666666666666666 * (Z(8) @ Z(0)) + 0.0... | 14 | 10 | 1 | {"smallest_eigenvalues": [-2.983333333333334], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.7833333333333337, "smallest_bitstrings": ["1010100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.667) q[0];
ry(1.4755) q[1];
ry(0.2393) q[2];
ry(1.4962) q[3];
ry(0.2808) q[4];
ry(1.4939) q[5];
ry(1.4807) q[6];
ry(1.4692) q[7];
ry(1.4754) q[8];
ry(0.8621) q[9];
crx(0.7842) q[9], q[0];
crx(0.9464) q[8], q[9];
crx(0.538) q[7], q[8];
crx(0.9546) 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": []} |
ef86cdfaf327bff6279da2b2e63cb516 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, ... | {"states": [1002, 746], "expectation_value": -0.8211425183787059, "params": [0.994, 0.994, 0.7608, 0.7649, 0.9915, 0.9993000000000001, 0.996, 0.9999, 0.9998, 0.9985, 0.3638, 0.36310000000000003, 0.9978, 1.0026000000000002, 0.3648, 0.36460000000000004, 0.9949, 1.0008000000000001, 0.3653, 0.3667, -0.1981, 0.0046, -0.2046... | 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(3) @ Z(4)) + 0.25 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.25 * (Z(5) @ Z(3) @ Z(4)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(6) @ Z(0) @ Z(7)) + 0.125 * (Z(1) @ Z(3)... | 13 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 18, "first_excited_energy": -2.125, "smallest_bitstrings": ["0010100110", "0010011100", "0010011001", "0010010110",... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.994) q[0];
ry(0.7608) q[1];
ry(0.9915) q[2];
ry(0.996) q[3];
ry(0.9998) q[4];
ry(0.3638) q[5];
ry(0.9978) q[6];
ry(0.3648) q[7];
ry(0.9949) q[8];
ry(0.3653) q[9];
crz(-0.1981) q[9], q[0];
crz(0.0291) q[8], q[9];
crz(0.277) q[7], q[8];
crz(-0.0909) 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": []} |
951cbddae609304a780bb0bbe3d3c74a | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [458, 462], "expectation_value": -2.1844991142060675, "params": [[[-0.0023, 1.0474, 0.0081, 0.0079], [-0.0016, 1.0478, -0.0161, 0.0076], [1.4957, 0.0016, 1.4918, 0.006900000000000001], [1.4974, -0.0019, 1.4959, 0.009300000000000001], [0.9709000000000001, -0.0029000000000000002, -0.126, 0.0066], [1.0134, -0.0... | 0.5 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(0) @ Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.25 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ Z(6) @ Z(7)) + 0.25 * (Z(5) @ Z(6)) + 0.25 * (Z(8) @ Z(5)) + 0.25 * (Z(8) @ Z(6)) + -0.25 *... | 11 | 10 | 1 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -2.125, "smallest_bitstrings": ["0101010100", "1100100010", "1001010100", "0110011000", "1000110001", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0023) q[0];
rz(1.0474) q[0];
ry(-0.0016) q[1];
rz(1.0478) q[1];
ry(1.4957) q[2];
rz(0.0016) q[2];
ry(1.4974) q[3];
rz(-0.0019) q[3];
ry(0.9709) q[4];
rz(-0.0029) q[4];
ry(1.0134) q[5];
rz(-0.0037) q[5];
ry(1.0709) q[6];
rz(-0.3147) q[6];
ry(0.9381) 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": []} |
612624550113104598 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[6, 7], [2, 4], [0, 7], [9, 6], [0, 5], [1, 9], [8, 4], [8, 3], [8, 6], [0, 9], [9, 5], [0, 3], [8, 7], [4, 5], [8, 9], [1, 7], [8, 0], [0, 2], [3, 7], [3, 6], [8, 1], [9, 2], [3, 5], [2, 3]]} | {"states": [215, 151], "expectation_value": -0.23347585014031552, "params": [0.6979000000000001, -0.0046, 0.6980000000000001, 0.0073, 0.6919000000000001, -0.0029000000000000002, 0.6792, 0.0054, 0.7101000000000001, -0.0031000000000000003, 0.7065, 0.0032, 0.6942, 0.0031000000000000003, 0.6912, 0.0028, 0.6943, 0.0023, 0.6... | 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(9) @ Z(6)) + 0.5 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(9)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(9)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) ... | 6 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -5.0, "smallest_bitstrings": ["0010010111", "0010010110", "0010011110", "0110011010", "1001100101", "1101100001", "1110011010", "0001100101", "1101101001", "1101101000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.6979) q[0];
rz(-0.0046) q[0];
rx(0.6919) q[1];
rz(-0.0029) q[1];
rx(0.7101) q[2];
rz(-0.0031) q[2];
rx(0.6942) q[3];
rz(0.0031) q[3];
rx(0.6943) q[4];
rz(0.0023) q[4];
rx(0.7013) q[5];
rz(0.0009) q[5];
rx(0.7001) q[6];
rz(0.0021) q[6];
rx(0.7069) 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": []} |
4cda5dee957682c08dbd329bc943c5ef | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [13818, 30202], "expectation_value": -3.8340725475269175, "params": [[[1.6163, -0.0345, 0.0034000000000000002, 0.0011], [0.2886, -0.028200000000000003, -0.2867, 0.0076], [1.5737, 0.0028, 1.5735000000000001, 0.0039000000000000003], [1.8102, -0.0027, 1.337, 0.0054], [1.5666, -0.0029000000000000002, 1.575100000... | 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... | 11 | 15 | 1 | {"smallest_eigenvalues": [-4.3125], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.312499999999994, "smallest_bitstrings": ["000101000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(1.6163) q[0];
rz(-0.0345) q[0];
ry(0.2886) q[1];
rz(-0.0282) q[1];
ry(1.5737) q[2];
rz(0.0028) q[2];
ry(1.8102) q[3];
rz(-0.0027) q[3];
ry(1.5666) q[4];
rz(-0.0029) q[4];
ry(1.9855) q[5];
rz(-0.0028) q[5];
ry(1.5688) q[6];
rz(0.003) q[6];
ry(-0.0026) 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": []} |
6585368322695446102 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 2, 5], [2, 3, 4], [1, 3], [0, 3, 5], [0, 1]]} | {"states": [27, 44], "expectation_value": -0.03609533401863683, "params": [[-0.06860000000000001], [0.0641]], "bitstrings": ["100100", "010011"], "total_optimization_steps": 10, "probabilities": [0.016497917849275116, 0.016592388694234413], "optimization_time": 0.5168159008026123} | 0.16666666666666666 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.16666666666666666 * (Z(3) @ Z(5)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(0... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.9999999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.6666666666666667, "smallest_bitstrings": ["010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(-0.0229) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(-0.0229) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(-0.0457) q[5];
cx q[0], q[5];
cx q[2], q[3];
rz(-0.0229) q[3];
cx q[2], q[3];
cx q[0], 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;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[2], q[5];
rz(x0) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(x1) q[5]... | null | {"circuits": [], "gradients": []} |
fbfefcfa74040d0ce51ad9f65d60106e | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 7}, {"capacity": 4, "source": 1, ... | {"states": [47, 127], "expectation_value": -11.53331067575609, "params": null, "bitstrings": ["11010000", "10000000"], "total_optimization_steps": 100, "probabilities": [0.06277200153905405, 0.5103310153946397], "optimization_time": 185.06024718284607} | -0.75 * (Z(0) @ Z(1)) + -1.0 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + 2.25 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -1.25 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(7)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(5) @ Z(1)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-17.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.5, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.2796) q[1];
cry(1.5708) q[4], q[6];
cry(1.5708) q[6], q[2];
cry(1.1767) q[2], q[4];
cry(0.0768) q[2], q[6];
cry(-1.1728) q[2], q[1];
cry(-0.0354) q[4], q[1];
cry(0.0293) q[6], q[1];
cry(1.438... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.2796) 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[... |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 21], "expectation_value": -7.38249367585583, "params": null, "bitstrings": ["111111110", "111101010"], "total_optimization_steps": 49, "probabilities": [0.11884327468330771, 0.5379672204827636], "optimization_time": 62.659645318984985} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(7) @ Z(6)) + 1.75 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.5 * (Z(3) @ Z(5)) + -1.0 * (Z(3) @ Z(7)) + -0.25 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z... | 1 | 9 | 3 | {"smallest_eigenvalues": [-8.0, -8.0, -8.0, -8.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -7.0, "smallest_bitstrings": ["111111110", "110101010", "111101010", "110111110"]} | 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(-1.5706) q[7];
cry(-1.5681) q[8], q[0];
ry(1.111) q[8];
ry(-1.5681) q[3];
ry(-1.5681) q[1];
ry(-0.5312) q[0];
ry(-1.5697) q[5];
cry(0.3393) q[4], q[8];
cry(1.1406) q[4], q[6];
cry(0.841... | 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(-1.5706) q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = ... |
50ae2479d5601754158b9fc59193bb01 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [26, 90], "expectation_value": -3.148310436597408, "params": [0.40740000000000004, -0.0244, 0.0012000000000000001, 0.2883, 0.5081, 0.0872, 0.5042, 0.006200000000000001, 0.08070000000000001, 0.30670000000000003, 0.5082, 0.0328, 0.030600000000000002, 0.3085, 0.4073, -0.018500000000000003, 0.0056, 0.27040000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + -1.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(4) + -1.0 * Z(6) + -0.5 * Z(5) + 0.0 * Z(2) + 0.0 * Z(3) | 3 | 7 | 4 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["0100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4074) q[0];
rz(-0.0244) q[0];
rx(0.0012) q[1];
rz(0.2883) q[1];
rx(0.5081) q[2];
rz(0.0872) q[2];
rx(0.5042) q[3];
rz(0.0062) q[3];
rx(0.0807) q[4];
rz(0.3067) q[4];
rx(0.5082) q[5];
rz(0.0328) q[5];
rx(0.0306) q[6];
rz(0.3085) q[6];
crz(0.2401) 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": []} |
5c643ee34402ae70c5b02c5aeb6262c2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "target": 6}, {"source": 2, "target": 7}, {"source": 3, "ta... | {"states": [0, 96], "expectation_value": -24.907560120620193, "params": [-1.076, -0.7233, 0.0023, 0.0023, 0.0024000000000000002, 0.0024000000000000002, 0.0026000000000000003, 0.0027, 0.0023, 0.0023, 0.0023, 0.0024000000000000002, -0.0013000000000000002, 0.0064, -0.1865, -0.4489, 1.5557, 0.0025, 0.3347, 1.58960000000000... | -1.0 * (Z(0) @ Z(1)) + -3.0 * (Z(3) @ Z(4)) + -2.5 * (Z(5) @ Z(4)) + -3.0 * (Z(5) @ Z(3)) + -3.0 * (Z(6) @ Z(4)) + 2.0 * (Z(6) @ Z(3)) + -3.0 * (Z(6) @ Z(5)) + 1.0 * (Z(2) @ Z(4)) + -3.0 * (Z(2) @ Z(3)) + 1.0 * (Z(2) @ Z(5)) + -3.0 * (Z(2) @ Z(6)) + 0.5 * Z(1) + 0.5 * Z(0) + -2.0 * Z(4) + -2.5 * Z(3) + -2.0 * Z(5) + -2... | 14 | 7 | 1 | {"smallest_eigenvalues": [-26.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -24.0, "smallest_bitstrings": ["0011111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-1.076) q[0];
ry(0.0023) q[1];
ry(0.0024) q[2];
ry(0.0026) q[3];
ry(0.0023) q[4];
ry(0.0023) q[5];
ry(-0.0013) q[6];
crx(-0.1865) q[6], q[0];
crx(0.9712) q[5], q[6];
crx(1.3121) q[4], q[5];
crx(0.7394) q[3], q[4];
crx(-1.2002) q[2], q[3];
crx(0.3347) 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[... | {"node": 2} | {"circuits": [], "gradients": []} |
6eeafc1802cd635d6723c166bcb76122 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3... | {"states": [43, 59], "expectation_value": -3.964702267258178, "params": null, "bitstrings": ["1010100", "1000100"], "total_optimization_steps": 31, "probabilities": [0.21434492943477582, 0.21434666737942695], "optimization_time": 25.58519721031189} | -0.5 * (Z(0) @ Z(4)) + -0.25 * (Z(6) @ Z(4)) + 0.75 * (Z(6) @ Z(0)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(1)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * Z(4) + -0.25 * Z(0) + 0.5 * Z(6) + 0.0 * Z(2) + 0.75 * Z(1) + -0.25 * Z(3) + 0.5 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.25, -4.25, -4.25, -4.25, -4.25, -4.25], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -3.25, "smallest_bitstrings": ["1000100", "1000110", "1111100", "1111110", "1010100", "1010110"]} | 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(-1.5706) q[4];
ry(1.5486) q[1];
cry(-1.5486) q[6], q[0];
ry(1.0727) q[6];
cry(-0.5898) q[1], q[0];
cry(1.4448) q[1], q[3];
cry(0.3799) q[1], q[6];
ry(-0.1585) q[0];
cry(0.0908) q[3], q[6];
ry(0.1185) q... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5706) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
9994d9c0864e8ab88d6d9169e088b46e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, ... | {"states": [35, 76], "expectation_value": -0.5104889194898535, "params": [[-0.0751, -0.0811], [0.0716, 0.07540000000000001]], "bitstrings": ["1011100", "0110011"], "total_optimization_steps": 10, "probabilities": [0.011003145221857805, 0.011576235324046752], "optimization_time": 2.7248430252075195} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(2) + 0.0 * Z(5) + -1.0 * Z(4) + -0.5 * Z(6) + 0.0 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -2.5, "smallest_bitstrings": ["1100101", "1011100", "1110001", "1010101", "1101100", "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];
cx q[1], q[0];
rz(-0.0751) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0751) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0751) q[2];
cx q[0], q[2];
cx q[0], q[5];
rz(-0.0751) q[5];
cx q[0], q[5];
cx q[1], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[... | null | {"circuits": [], "gradients": []} |
885062aa0c1a31cf5a193f1a32bffef7 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, ... | {"states": [65, 22], "expectation_value": -1.1077706435666357, "params": [[0.038700000000000005, 0.0656, 0.0829], [-0.022000000000000002, -0.034, -0.0632]], "bitstrings": ["0111110", "1101001"], "total_optimization_steps": 10, "probabilities": [0.01155463469455277, 0.013078776576554077], "optimization_time": 5.38412117... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 *... | 1 | 7 | 3 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["1101001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0387) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0387) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0387) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.0387) q[3];
cx q[0], q[3];
cx q[2], q[3];
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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
92c565ed8fed8ca60a141e6f389a7855 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 5, "source": 0, "target": 1}, {"weight": 19, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 3}, {"weight": 10, "source": 2, "tar... | {"states": [227, 218], "expectation_value": -5.406073937111497, "params": [[-0.034800000000000005], [0.0315]], "bitstrings": ["100011100", "100100101"], "total_optimization_steps": 10, "probabilities": [0.0026761657520398613, 0.002833747617971229], "optimization_time": 2.062366008758545} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(7) @ Z(1)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(1)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 18.5 * Z(1) ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-83.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(-0.3132) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.3132) q[2];
cx q[0], q[2];
cx q[2], q[3];
rz(-0.3132) q[3];
cx q[2], q[3];
cx q[3], q[4];
rz(-0.3132) q[4];
cx q[3], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[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[... | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
da6f888553e0928bf84cb7c24eceee80 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 4}, {"capacity": 3, "source": 2, ... | {"states": [190, 63], "expectation_value": -7.1845020885551785, "params": null, "bitstrings": ["01000001", "11000000"], "total_optimization_steps": 56, "probabilities": [0.06538550728154405, 0.9345603366229585], "optimization_time": 71.32053780555725} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(1) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.75 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(7) @ Z(4)) + -0.25 * (Z(3) @ Z(7)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(4)) + -0.75 * (Z(6) @ Z(3)) + 1.0 * Z(5) + -0.25 * Z(0) + -1.75 * Z(... | 1 | 8 | 1 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(-1.5708) q[1];
ry(1.5708) q[4];
cry(1.5706) q[4], q[2];
cry(1.5486) q[4], q[6];
cry(1.5485) q[4], q[5];
cry(-1.0343) q[7], q[0];
ry(1.067) q[7];
cry(1.3882) q[6], q[3];
cry(-0.7227) q[4], q[0];... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5708) 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... |
7506521506737851335 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6, 8], [0, 3, 5, 6, 7], [0, 2, 4], [8, 5, 6, 7], [3, 4, 5, 7], [0, 2, 6, 7, 8], [2, 4, 5], [1, 3, 6, 7, 8], [2, 3], [8, 1, 4], [0, 3, 4, 5, 6], [8, 0, 5, 7], [0, 3, 4, 6, 8], [0, 3, 4, 6, 7], [1, 4, 6, 7]]} | {"states": [349, 317], "expectation_value": -3.364927529310042, "params": null, "bitstrings": ["010100010", "011000010"], "total_optimization_steps": 54, "probabilities": [0.05805815443530822, 0.876837249796596], "optimization_time": 142.8820822238922} | 0.05 * (Z(0) @ Z(1)) + 0.1 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.18333333333333335 * (Z(6) @ Z(1)) + 0.3 * (Z(6) @ Z(0)) + 0.3 * (Z(6) @ Z(3)) + 0.26666666666666666 * (Z(8) @ Z(1)) + 0.23333333333333334 * (Z(8) @ Z(0)) + 0.15000000000000002 * (Z(8) @ Z(3)) + 0.2833333333333333 * (Z(8) @ Z(6)) + 0.18333333333333335... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.4166666666666665], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.400000000000001, "smallest_bitstrings": ["011000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(1.5691) q[4];
ry(1.5423) q[6];
ry(1.1961) q[8];
cry(-1.0294) q[3], q[2];
ry(0.7962) q[3];
cry(-1.0645) q[8], q[1];
cry(-0.5336) q[4], q[2];
cry(0.5348) q[4], q[3];
ry(-0.3767) q[2];
cry... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(1.5691) 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] = m... |
1d579e37a468bd880bcb1092848cc668 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 3}, {"capacity": 4, "source": 4, "target": 1... | {"states": [0, 1], "expectation_value": -4.777677611250519, "params": [0.001, 0.2156, 0.0019, -0.2847, 0.0013000000000000002, -0.28350000000000003, 0.0014, 0.3084, 0.324, 0.12000000000000001, 0.3119, -0.0005, 0.4072, -0.0013000000000000002, -0.0043, 0.2068, 0.0029000000000000002, -0.2882, 0.0046, -0.3039, 0.00390000000... | -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) | 3 | 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": ["1000000", "1111110", "1011010", "1111100", "1011000", "1111010", "1001010", "1111000", "1101000", "1001000", "11010... | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.001) q[0];
rz(0.2156) q[0];
rx(0.0019) q[1];
rz(-0.2847) q[1];
rx(0.0013) q[2];
rz(-0.2835) q[2];
rx(0.0014) q[3];
rz(0.3084) q[3];
rx(0.324) q[4];
rz(0.12) q[4];
rx(0.3119) q[5];
rz(-0.0005) q[5];
rx(0.4072) q[6];
rz(-0.0013) q[6];
crz(0.0068) q[6], q[5]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
0880db631f670f7f3ca0bd5d242b72c4 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 2}, ... | {"states": [65, 3], "expectation_value": -29.525977838854857, "params": null, "bitstrings": ["0111110", "1111100"], "total_optimization_steps": 64, "probabilities": [0.0971611053113901, 0.7455589992314589], "optimization_time": 88.48824286460876} | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 2.75 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + ... | 18 | 7 | 2 | {"smallest_eigenvalues": [-30.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -28.5, "smallest_bitstrings": ["1111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(5.3058) q[1];
ry(-0.2784) q[0];
ry(-0.7801) q[2];
ry(-0.4253) q[3];
ry(-1.3878) q[4];
cry(-1.2924) q[5], q[0];
cry(-1.1455) q[6], q[3];
ry(1.1155) q[5];
cry(-0.7888) q[5], q[2];
cry(-0.5931) q[5], q[1]... | null | {"k": 5} | {"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(5.3058) 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", "... |
1434096e59219230a9a448bfa214dbb8 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 4, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 5, "source": 3, "target": 2}, {"capaci... | {"states": [17, 31], "expectation_value": -3.7289682416716032, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 40, "probabilities": [0.09667736587704383, 0.740450720865255], "optimization_time": 30.464112758636475} | 0.25 * (Z(0) @ Z(5)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(1) @ Z(3)) + -1.25 * (Z(2) @ Z(3)) + -1.0 * (Z(4) @ Z(3)) + -0.5 * (Z(4) @ Z(2)) + 0.0 * Z(5) + -0.25 * Z(0) + 0.0 * Z(3) + 0.5 * Z(1) + -0.75 * Z(2) + 0.5 * Z(4) | 1 | 6 | 4 | {"smallest_eigenvalues": [-4.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.25, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5486) q[3], q[4];
cry(1.259) q[2], q[3];
ry(1.5308) q[1];
cry(1.0863) q[4], q[2];
ry(0.4497) q[3];
cry(0.6501) q[2], q[4];
cry(0.1769) q[4], q[3];
cry(0.4604) q[3], q[2];
ry(-0.3386) q[2];
cry(-0.1431) q[1]... | 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(1.5486) q[3], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
dd120ab3488feb158ebf53f7278aa3b4 | 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": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"source": 1, "target": 5}, {"sour... | {"states": [0, 286], "expectation_value": -2.9988932866772577, "params": [0.6021000000000001, 0.0019, 0.5981000000000001, 0.002, 0.4635, -0.0033, 0.3952, 0.0071, 0.49350000000000005, -0.0026000000000000003, 0.3274, 0.0026000000000000003, 0.5409, -0.002, 0.369, 0.0086, 0.6029, 0.0019, 0.6052000000000001, 0.0022, 0.5999,... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.5 * Z(8) + -0.5 * Z(7) + -0.5 * Z... | 6 | 9 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["011100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.6021) q[0];
rz(0.0019) q[0];
rx(0.4635) q[1];
rz(-0.0033) q[1];
rx(0.4935) q[2];
rz(-0.0026) q[2];
rx(0.5409) q[3];
rz(-0.002) q[3];
rx(0.6029) q[4];
rz(0.0019) q[4];
rx(0.5999) q[5];
rz(0.0034) q[5];
rx(0.6017) q[6];
rz(-0.002) q[6];
rx(0.6095) 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": []} |
ec2dbb486a3553924689ba1f8fd0a8dd | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 7}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [101, 228], "expectation_value": -6.245867225870424, "params": [0.49410000000000004, -0.15360000000000001, 0.49820000000000003, -0.12010000000000001, 0.5032, -0.0731, 0.5018, 0.0045000000000000005, 0.5061, -0.0787, 0.5063, -0.0088, -0.004, 0.2846, -0.0073, 0.28190000000000004, -0.0017000000000000001, 0.25830... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 5 | 8 | 2 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["00011011", "10011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4941) q[0];
rz(-0.1536) q[0];
rx(0.5032) q[1];
rz(-0.0731) q[1];
rx(0.5061) q[2];
rz(-0.0787) q[2];
rx(-0.004) q[3];
rz(0.2846) q[3];
rx(-0.0017) q[4];
rz(0.2583) q[4];
rx(0.4975) q[5];
rz(-0.0613) q[5];
rx(-0.0053) q[6];
rz(0.2704) q[6];
rx(0.4851) 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": []} |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [38, 7], "expectation_value": -4.006636410612931, "params": [[0.07680000000000001], [-0.0777]], "bitstrings": ["1011001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.012247472231788788, 0.01254530740246913], "optimization_time": 2.31475567817688} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.3456) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3456) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3456) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3456) q[3];
cx q[1], q[3];
cx q[0], q[3];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | {"k": 4} | {"circuits": [], "gradients": []} |
-8807222220196715805 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 1], [2, 3, 4, 5], [8, 2], [0, 3], [1, 2, 3, 5, 6], [2, 3, 5, 7], [3, 4, 6], [0, 6], [2, 4, 6], [1, 3, 7], [0, 1, 2, 4, 5]]} | {"states": [228, 236], "expectation_value": -1.001008179028042, "params": [[-0.2492], [0.2555]], "bitstrings": ["100011011", "100010011"], "total_optimization_steps": 30, "probabilities": [0.005769455396353717, 0.005873281296896169], "optimization_time": 3.3010847568511963} | 0.5 * (Z(8) @ Z(1)) + 0.1 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(8)) + 0.21666666666666667 * (Z(3) @ Z(1)) + 0.21666666666666667 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.3 * (Z(4) @ Z(2)) + 0.25 * (Z(4) @ Z(3)) + 0.1 * (Z(5) @ Z(1)) + 0.26666666666666666 * (Z(5) @ Z(2)) + 0.21666666666666667 * (Z(5) @ Z(3)) + 0.1333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-3.7], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.533333333333333, "smallest_bitstrings": ["100010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[8];
rz(-0.2492) q[8];
cx q[1], q[8];
cx q[1], q[2];
rz(-0.0498) q[2];
cx q[1], q[2];
cx q[8], q[2];
rz(-0.2492) q[2];
cx q[8], q[2];
cx q[1], q[3];
rz(-0.108) q[3];
cx q[1], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
a38f1e1a2c6caaf4faa439d1638ce520 | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target... | {"states": [21910, 21926], "expectation_value": -2.0075459547021612, "params": [-0.010100000000000001, 0.0039000000000000003, 0.8024, 0.7822, -0.003, 0.0177, 0.786, 0.781, 0.0066, 0.0, 0.7839, 0.7815000000000001, -0.025900000000000003, 0.0018000000000000002, 0.7808, 0.7835000000000001, -1.4148, -0.6348, 0.7200000000000... | 0.25 * (Z(0) @ Z(1)) + -0.0008264462809917356 * (Z(2) @ Z(0)) + -0.0008264462809917356 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.0004132231404958678 * (Z(4) @ Z(0)) + -0.0005165289256198348 * (Z(4) @ Z(2)) + 0.0004132231404958678 * (Z(5) @ Z(1)) + -0.0005165289256198348 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.0009... | 13 | 16 | 2 | {"smallest_eigenvalues": [-2.014669421487553], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0146694214874947, "smallest_bitstrings": ["1010101001011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
ry(-0.0101) q[0];
ry(0.8024) q[1];
ry(-0.003) q[2];
ry(0.786) q[3];
ry(0.0066) q[4];
ry(0.7839) q[5];
ry(-0.0259) q[6];
ry(0.7808) q[7];
ry(-1.4148) q[8];
ry(0.72) q[9];
ry(-1.1931) q[10];
ry(0.7366) q[11];
ry(-0.0035) q[12];
ry(0.7957) q[13];
ry(0.8118) 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... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
73162755fd3fb63ec250bb0297031b85 | 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": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": ... | {"states": [107, 106], "expectation_value": -1.7386698081250658, "params": [0.5965, -0.0035, 0.605, 0.0038, 0.0019, -0.42460000000000003, 0.5997, 0.0064, 0.0022, 0.4419, 0.6029, 0.0229, 0.4842, 0.0766, 0.6036, -0.0034000000000000002, 0.6027, 0.0035, 0.0014, -0.4399, 0.5992000000000001, 0.0066, 0.0028, 0.4363, 0.6061000... | 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(3) @ Z(4)) + 0.25 * (Z(3) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(3) @ Z(4) @ Z(5)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(6)) + 0.25 * (Z(6) @ Z(3)) + -0.25 * (Z(0) @ Z(3) @ Z(6)) + 0.25 * (Z(1) @ Z(5))... | 16 | 7 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["0010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.5965) q[0];
rz(-0.0035) q[0];
rx(0.605) q[1];
rz(0.0038) q[1];
rx(0.0019) q[2];
rz(-0.4246) q[2];
rx(0.5997) q[3];
rz(0.0064) q[3];
rx(0.0022) q[4];
rz(0.4419) q[4];
rx(0.6029) q[5];
rz(0.0229) q[5];
rx(0.4842) q[6];
rz(0.0766) q[6];
crz(-0.0034) 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[... | null | {"circuits": [], "gradients": []} |
ec471b6985489d774242f85569adf59b | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 2, "target": 3}, {"capacity": 1, "source": 2, "target": 5... | {"states": [0, 63], "expectation_value": -4.637836796489155, "params": [[[-0.002, 0.8554], [-0.0025, 0.0022], [-0.0024000000000000002, -0.0033], [-0.0026000000000000003, -0.0027], [-0.0024000000000000002, 0.002], [0.0032, 0.3564], [1.4814, 0.0043]], [[0.3875, 1.4334], [-0.0026000000000000003, -0.8603000000000001], [-0.... | -0.5 * (Z(0) @ Z(3)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(1) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2)) + -0.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(5)) + 0.75 * (Z(6) @ Z(0)) + -0.75 * (Z(6) @ Z(4)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.0 * Z(2) + -0.75 * Z(1) + -0.5 * Z(5) + 1.0 * Z(4) + 0.0 * Z(6) | 15 | 7 | 2 | {"smallest_eigenvalues": [-5.25, -5.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.25, "smallest_bitstrings": ["1000000", "1100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
ry(-0.002) q[0];
ry(-0.0025) q[1];
ry(-0.0024) q[2];
ry(-0.0026) q[3];
ry(-0.0024) q[4];
ry(0.0032) q[5];
ry(1.4814) q[6];
cx q[6], q[0];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.8554) q[0];
ry(0.0022) 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": 6} | {"circuits": [], "gradients": []} |
4469bf1a53e1f207fc41e42585ea0340 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [175, 173], "expectation_value": -62.47537545079415, "params": [0.9906, 0.1844, 0.43720000000000003, 0.3765, 0.9894000000000001, 0.0118, 0.003, 0.7391000000000001, 0.7448, 0.20470000000000002, 0.9978, 0.1332, 0.5303, 0.2883, 0.9949, 0.0146, 0.9952000000000001, 0.2134, 0.43720000000000003, 0.3403, 0.992300000... | 6.5 * (Z(1) @ Z(2)) + 6.5 * (Z(0) @ Z(2)) + 6.5 * (Z(0) @ Z(1)) + 6.5 * (Z(5) @ Z(1)) + 6.5 * (Z(4) @ Z(0)) + 6.5 * (Z(4) @ Z(5)) + 6.5 * (Z(6) @ Z(5)) + 6.5 * (Z(6) @ Z(4)) + 6.5 * (Z(7) @ Z(5)) + 6.5 * (Z(7) @ Z(4)) + 6.5 * (Z(7) @ Z(6)) + 9.0 * Z(2) + 10.0 * Z(1) + 16.0 * Z(0) + 19.5 * Z(5) + 18.5 * Z(4) + 11.5 * Z(... | 18 | 8 | 3 | {"smallest_eigenvalues": [-75.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.5, "smallest_bitstrings": ["01010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.9906) q[0];
rz(0.1844) q[0];
rx(0.4372) q[1];
rz(0.3765) q[1];
rx(0.9894) q[2];
rz(0.0118) q[2];
rx(0.003) q[3];
rz(0.7391) q[3];
rx(0.7448) q[4];
rz(0.2047) q[4];
rx(0.9978) q[5];
rz(0.1332) q[5];
rx(0.5303) q[6];
rz(0.2883) q[6];
rx(0.9949) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7, 8, 9, 10, 11]}"} | {"circuits": [], "gradients": []} |
238da0afcff22b3cc95b712a7ad70447 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": ... | {"states": [25, 28], "expectation_value": -4.499937482213634, "params": null, "bitstrings": ["100110", "100011"], "total_optimization_steps": 24, "probabilities": [1.6356118803656356e-05, 0.9999687418097178], "optimization_time": 19.007663011550903} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.5 * Z(4) + -1.5 * Z(5) + -0.5 * Z(1) | 1 | 6 | 2 | {"smallest_eigenvalues": [-4.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.5, "smallest_bitstrings": ["100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[0];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4449) q[2];
ry(1.4417) q[3];
ry(1.4417) q[1];
cry(-0.1259) q[3], q[5];
cry(0.1217) q[2], q[1];
cry(0.1216) q[1], q[3];
cry(0.1186) q[3], q[2];
cry(-0.002... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5708) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [53, 61], "expectation_value": -9.499999960416321, "params": null, "bitstrings": ["1001010", "1000010"], "total_optimization_steps": 47, "probabilities": [0.49999999583450017, 0.49999999583450017], "optimization_time": 36.287189960479736} | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"]} | 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(1.5708) q[1];
cry(1.5706) q[1], q[4];
cry(1.5706) q[4], q[2];
cry(-1.5681) q[1], q[0];
cry(1.5708) q[2], q[6];
cry(-0.0027) q[6], q[0];
cry(0.0001) q[6], q[2];
cry(0.0001) q[6], q[4];... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[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", ... |
6af884d627ee37a45c35f4c485ec07d5 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4... | {"states": [61, 1], "expectation_value": -0.2828254398836236, "params": [[-0.0699, -0.0654], [0.0703, 0.0634]], "bitstrings": ["1000010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010768499881703813, 0.010971904189079775], "optimization_time": 2.13956618309021} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(3) @ Z(5)) + -1.25 * (Z(1) @ Z(3)) + -0.25 * (Z(4) @ Z(3)) + -0.5 * (Z(2) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + 0.25 * Z(3) + -0.25 * Z(1) + -0.25 * Z(4) + 0.5 * Z(2) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1101110", "1101010", "1000010", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.035) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.0699) q[6];
cx q[0], q[6];
cx q[5], q[3];
rz(0.035) q[3];
cx q[5], q[3];
cx q[3], q[1];
rz(0.1748) q[1];
cx q[3], q[1];
cx q[3], q[4];
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] 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 ... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9e8a866d2c0011b6946d4c64e758f31c | matching | qaoa | {"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": [125, 124], "expectation_value": -10.648005253140461, "params": [[0.049100000000000005], [-0.0714]], "bitstrings": ["10000010", "10000011"], "total_optimization_steps": 10, "probabilities": [0.007423603923367987, 0.008572284404995148], "optimization_time": 2.140442132949829} | 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 | 1 | {"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];
cx q[1], q[0];
rz(0.3437) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3437) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3437) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3437) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1],... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
1f15db56645aa784f47efc16e5301c8d | 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": 4}, {"capacity": 5, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [0, 1], "expectation_value": -16.59238656548382, "params": [0.0018000000000000002, 0.2079, 0.0046, 0.2998, 0.0037, 0.2997, 0.0055000000000000005, 0.21130000000000002, 0.0055000000000000005, 0.1948, 0.0043, 0.2298, 0.3992, -0.0006000000000000001, 0.0015, 0.1589, 0.0014, 0.2937, 0.0009000000000000001, 0.3068, ... | -1.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(4)) + -1.5 * (Z(2) @ Z(4)) + -1.25 * (Z(2) @ Z(1)) + -1.75 * (Z(5) @ Z(1)) + -2.75 * (Z(5) @ Z(2)) + -2.5 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(2)) + -2.0 * (Z(3) @ Z(5)) + 1.75 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(2) + 1.5 * Z(5... | 3 | 7 | 4 | {"smallest_eigenvalues": [-19.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0018) q[0];
rz(0.2079) q[0];
rx(0.0046) q[1];
rz(0.2998) q[1];
rx(0.0037) q[2];
rz(0.2997) q[2];
rx(0.0055) q[3];
rz(0.2113) q[3];
rx(0.0055) q[4];
rz(0.1948) q[4];
rx(0.0043) q[5];
rz(0.2298) q[5];
rx(0.3992) q[6];
rz(-0.0006) q[6];
crz(0.0085) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -4.455458797112124, "params": [[[0.4863, -0.21760000000000002], [0.4853, 0.2179], [0.49260000000000004, 0.2058], [0.49510000000000004, -0.2058], [0.8928, 0.003], [0.8069000000000001, 0.0012000000000000001], [0.8919, 0.0004]], [[0.48500000000000004, 0.0098], [0.4852, 0.0001], [0.4... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 2 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.4863) q[0];
rz(-0.2176) q[0];
rx(0.4853) q[1];
rz(0.2179) q[1];
rx(0.4926) q[2];
rz(0.2058) q[2];
rx(0.4951) q[3];
rz(-0.2058) q[3];
rx(0.8928) q[4];
rz(0.003) q[4];
rx(0.8069) q[5];
rz(0.0012) q[5];
rx(0.8919) q[6];
rz(0.0004) q[6];
rx(0.485) q[0];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 4} | {"circuits": [], "gradients": []} |
e8fdec38f32f10530d269f6547919d57 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 2}, {"weight": 19, "source": 1, "target": 3}, {"weight": 6... | {"states": [183, 118], "expectation_value": -11.20665181369048, "params": [[0.050300000000000004], [-0.0753]], "bitstrings": ["01001000", "10001001"], "total_optimization_steps": 10, "probabilities": [0.007708015315010806, 0.008147355178337562], "optimization_time": 2.636991262435913} | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(3) @ Z(2)) + 3.5 * (Z(4) @ Z(2)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(5) @ Z(4)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(1)) + 3.5 * (Z(7) @ Z(5)) + 3.5 * (Z(7) ... | 1 | 8 | 1 | {"smallest_eigenvalues": [-69.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.0, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3521) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.3521) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3521) q[3];
cx q[0], q[3];
cx q[2], q[3];
rz(0.3521) q[3];
cx q[2], q[3];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
-6973000024119512029 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 7], [0, 3], [4, 7], [2, 5], [3, 6], [8, 6]]} | {"states": [270, 412], "expectation_value": -2.60283317461654, "params": null, "bitstrings": ["011110001", "001100011"], "total_optimization_steps": 77, "probabilities": [0.04444710694849798, 0.6233734215316266], "optimization_time": 110.32690119743347} | 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(8) @ Z(6)) + 0.0 * Z(7) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(8) | 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": ["101000110", "011110001", "000101011", "010111001", "100001110", "001100011", "111010100", "110011100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[4], q[7];
cry(-1.0342) q[6], q[3];
cry(-1.0342) q[5], q[2];
cry(-1.0342) q[6], q[8];
ry(0.7625) q[6];
cry(-0.7068) q[0], q[3];
cry(1.1319) q[6], q[0];
ry(0.7003) q[4];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\ncry(-1.0342) q[4], q[7];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
6be29fcf64186db29d8d06f08ec325c6 | 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": 13, "source": 0, "target": 6}, {"weight": 13, "source": 0, "target": 4}, {"weight": 9, "source": 2, "target": 3}, {"... | {"states": [205, 109], "expectation_value": -26.200410377441365, "params": [[0.0451, -0.0103], [-0.1302, -0.1383]], "bitstrings": ["00110010", "10010010"], "total_optimization_steps": 20, "probabilities": [0.02028652598948364, 0.0224600922416295], "optimization_time": 2.912935495376587} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 10.5 * Z(1) + 4.5 * Z(0) + 14.5 * Z(2) + 9.5 * Z(4) + 4.... | 1 | 8 | 2 | {"smallest_eigenvalues": [-55.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -53.0, "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(0.3608) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3608) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3608) q[2];
cx q[0], q[2];
cx q[4], q[3];
rz(0.3608) q[3];
cx q[4], 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] 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... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
60124d7a0b0f082fe2693bc67d31da5d | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [129, 193], "expectation_value": -6.708352478131343, "params": [0.5606, 0.0036000000000000003, 0.48560000000000003, -0.0001, 0.0022, 0.38330000000000003, -0.0032, 0.35960000000000003, -0.0002, 0.38480000000000003, -0.0027, 0.3678, 0.161, 0.33240000000000003, 0.5521, 0.1762, 0.5661, 0.0029000000000000002, 0.4... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) ... | 3 | 8 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.5, "smallest_bitstrings": ["00111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5606) q[0];
rz(0.0036) q[0];
rx(0.4856) q[1];
rz(-0.0001) q[1];
rx(0.0022) q[2];
rz(0.3833) q[2];
rx(-0.0032) q[3];
rz(0.3596) q[3];
rx(-0.0002) q[4];
rz(0.3848) q[4];
rx(-0.0027) q[5];
rz(0.3678) q[5];
rx(0.161) q[6];
rz(0.3324) q[6];
rx(0.5521) 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": []} |
d73e09b2080c985450137753dac4d6e0 | 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, 31], "expectation_value": -69.99537759905141, "params": [0.0028, 0.7438, 0.4454, 0.28140000000000004, 0.0024000000000000002, -0.601, 0.9815, 0.0007, 0.9907, -0.002, 0.9844, 0.0014, 0.9929, -0.002, 0.992, -0.0017000000000000001, 0.0025, 0.7538, 0.448, 0.2732, 0.0043, -0.5957, 0.9880000000000001, -0.0046,... | 5.5 * (Z(1) @ Z(3)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(4) @ Z(1)) + 5.5 * (Z(2) @ Z(6)) + 5.5 * (Z(5) @ Z(3)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(3)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 17.5 * Z(3) + 11.5 * Z(1) + 18.0 * Z(4) + 8.5 * Z(6) + -... | 18 | 8 | 3 | {"smallest_eigenvalues": [-77.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["11100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0028) q[0];
rz(0.7438) q[0];
rx(0.4454) q[1];
rz(0.2814) q[1];
rx(0.0024) q[2];
rz(-0.601) q[2];
rx(0.9815) q[3];
rz(0.0007) q[3];
rx(0.9907) q[4];
rz(-0.002) q[4];
rx(0.9844) q[5];
rz(0.0014) q[5];
rx(0.9929) q[6];
rz(-0.002) q[6];
rx(0.992) q[7];
rz(-0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9]}"} | {"circuits": [], "gradients": []} |
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