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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
-7257905506358455938 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[1, 2, 3, 4], [0, 3, 5, 6], [8, 1, 2, 3], [1, 4, 7], [0, 1], [3, 4, 6, 7], [3, 4, 5], [8, 4, 5, 6], [2, 6, 7], [8, 2, 4, 5], [5, 6, 7], [2, 4, 7], [1, 6], [0, 2, 5], [8, 1, 4, 5], [1, 3, 7], [8, 1, 2, 7], [0, 4, 6, 7]]} | {"states": [311, 373], "expectation_value": -0.2325603510928786, "params": [[0.06960000000000001], [-0.064]], "bitstrings": ["011001000", "010001010"], "total_optimization_steps": 10, "probabilities": [0.0021824963308388944, 0.0022040572640944405], "optimization_time": 1.1313016414642334} | 0.25 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(2)) + 0.3333333333333333 * (Z(3) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(2)) + 0.3333333333333333 * (Z(4) @ Z(1)) + 0.3333333333333333 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.08333333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.416666666666666], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.333333333333334, "smallest_bitstrings": ["010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[2], q[1];
rz(0.0348) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(0.0232) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(0.0464) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(0.0464) q[4];
cx q[2], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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": []} |
613ef125dc4e28340a6427c0ac6373f5 | max_flow | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 5}, {"capacity": 3, "source": 3, "target": 2}, {"capacity": 3, "source": 3, "target": 6... | {"states": [58362, 58364], "expectation_value": -25.13850532386221, "params": [[0.09530000000000001, -0.0035, -0.016, -0.0082], [-0.1246, -0.1296, -0.1207, -0.131]], "bitstrings": ["0001110000000101", "0001110000000011"], "total_optimization_steps": 20, "probabilities": [0.0008963332569932765, 0.0009420261755022045], "... | 0.875 * (Z(0) @ Z(1)) + 0.875 * (Z(2) @ Z(1)) + 0.4375 * (Z(2) @ Z(0)) + 2.0 * (Z(6) @ Z(7)) + 1.0 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(6)) + 2.0 * (Z(9) @ Z(7)) + 1.0 * (Z(9) @ Z(6)) + 1.0 * (Z(9) @ Z(8)) + 1.0 * (Z(10) @ Z(11)) + 3.0 * (Z(12) @ Z(11)) + 1.5 * (Z(12) @ Z(10)) + -0.5 * (Z(3) @ Z(13)) + 1.0 * (Z(14) @ Z(13... | 1 | 16 | 4 | {"smallest_eigenvalues": [-37.62499999999959], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -36.74999999999983, "smallest_bitstrings": ["0001110000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.1668) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1668) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0834) q[2]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
1c92797ebdc5766ffafd498d21cf8a8a | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": ... | {"states": [34, 12], "expectation_value": -0.15319477226797512, "params": [[0.0655], [-0.0545]], "bitstrings": ["011101", "110011"], "total_optimization_steps": 10, "probabilities": [0.016761455795906495, 0.01698701389829558], "optimization_time": 1.8528707027435303} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + -1.5 * Z(2) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + -0.5 * Z(1) + -1.0 * Z(4) | 1 | 6 | 1 | {"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": ["111100", "001111", "101011", "110011", "101110", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[2], q[0];
rz(0.0655) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0655) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(0.0655) q[5];
cx q[2], q[5];
cx q[0], q[5];
rz(0.0655) q[5];
cx q[0], q[5];
cx q[3], q[5];
rz(0.0655... | 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[0], q[3];
rz(x0) q[3];
cx q[0], q[3];
cx q[2], q[5];
rz(x0) q[5]... | null | {"circuits": [], "gradients": []} |
919ebe96150ea33963e1b88a334f3105 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 5, "source": 1, "target": 6}, {"capacity": 4, "source": 2, "target": 1}, {"capacity": 6, "source": 3, ... | {"states": [254, 127], "expectation_value": -2.9822813683126146, "params": [[-0.050800000000000005, -0.038200000000000005, -0.0446, -0.0222], [0.061700000000000005, 0.0443, 0.058300000000000005, 0.0492]], "bitstrings": ["00000001", "10000000"], "total_optimization_steps": 10, "probabilities": [0.011216871649198983, 0.0... | 0.25 * (Z(0) @ Z(7)) + -1.25 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(6)) + -0.75 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(7)) + -0.25 * (Z(5) @ Z(6)) + -1.75 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(4)) + -0.25 * Z(7) + -0.25 * Z(0) + -2.5 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-10.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.75, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[0];
rz(-0.0254) q[0];
cx q[7], q[0];
cx q[6], q[1];
rz(0.127) q[1];
cx q[6], q[1];
cx q[1], q[2];
rz(0.1016) q[2];
cx q[1], q[2];
cx q[6], q[3];
rz(0.0762) q[3];
cx q[6], q[3];
cx q[6],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
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": -11.606247297006938, "params": [-0.0013000000000000002, 0.2509, 0.005, 0.2788, 0.0019, 0.30360000000000004, 0.0022, 0.3129, -0.0011, 0.1371, 0.0044, 0.311, 0.0012000000000000001, 0.223, 0.4022, 0.0028, -0.006, 0.25570000000000004, -0.0005, 0.30510000000000004, 0.0044, 0.289000000... | -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... | 4 | 8 | 4 | {"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(-0.0013) q[0];
rz(0.2509) q[0];
rx(0.005) q[1];
rz(0.2788) q[1];
rx(0.0019) q[2];
rz(0.3036) q[2];
rx(0.0022) q[3];
rz(0.3129) q[3];
rx(-0.0011) q[4];
rz(0.1371) q[4];
rx(0.0044) q[5];
rz(0.311) q[5];
rx(0.0012) q[6];
rz(0.223) q[6];
rx(0.4022) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
15981867526b451292338ffade4ee93e | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 2, "target": 4}, {"weight": 1, "... | {"states": [661, 2709], "expectation_value": -0.2275625540848031, "params": [0.48610000000000003, 0.4818, 0.3267, 0.3201, 0.4943, 0.48960000000000004, 0.29550000000000004, 0.2926, 0.4928, 0.4933, 0.2919, 0.2938, 0.2929, 0.2924, 0.49620000000000003, 0.4877, 0.30160000000000003, 0.2928, 0.4939, 0.49050000000000005, 0.319... | 0.25 * (Z(0) @ Z(1)) + -0.0012755102040816328 * (Z(2) @ Z(0)) + -0.0012755102040816328 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.001020408163265306 * (Z(4) @ Z(0)) + -0.001020408163265306 * (Z(4) @ Z(2)) + -0.001020408163265306 * (Z(5) @ Z(1)) + -0.001020408163265306 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.0005102... | 13 | 12 | 2 | {"smallest_eigenvalues": [-1.5221938775510204, -1.5221938775510204], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5104591836734698, "smallest_bitstrings": ["010101101010", "101010010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.4861) q[0];
ry(0.3267) q[1];
ry(0.4943) q[2];
ry(0.2955) q[3];
ry(0.4928) q[4];
ry(0.2919) q[5];
ry(0.2929) q[6];
ry(0.4962) q[7];
ry(0.3016) q[8];
ry(0.4939) q[9];
ry(0.3196) q[10];
ry(0.4899) q[11];
crz(0.2304) q[11], q[0];
crz(-0.1785) q[10], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 3, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
03ff3a7533d396b93efc645d4aae3cbe | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 15, "source": 0, "target": 5}, {"weight": 20, "source": 0, "ta... | {"states": [245, 244], "expectation_value": -31.34868730123897, "params": null, "bitstrings": ["100001010", "100001011"], "total_optimization_steps": 100, "probabilities": [0.039722945789679026, 0.10131011762480907], "optimization_time": 211.81718516349792} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(3) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(0)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(2)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(3)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(8) @ Z(6)) + 20.0 * Z(1) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -72.0, "smallest_bitstrings": ["100001011"]} | 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(-3.4097) q[1];
ry(8.4588) q[2];
cry(-44.3803) q[2], q[1];
ry(11.2785) q[6];
ry(23.9836) q[3];
ry(28.6737) q[0];
cry(-26.8794) q[8], q[1];
cry(26.4986) q[1], q[2];
cry(-7.7248) q[2], q[0... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-3.4097) 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] = ... |
723b73fdc30b23dba77c4958fef78f24 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [86, 22], "expectation_value": -3.2732637862643785, "params": [[[0.34490000000000004, -0.1895], [-0.006, 0.41140000000000004], [0.7044, 0.0034000000000000002], [0.0002, 0.5027], [0.6701, -0.0014], [0.5622, 0.0165], [-0.0001, 0.4742]], [[0.34790000000000004, -0.1894], [-0.0002, 0.5201], [0.6962, 0.00340000000... | 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(5)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + 0.25 * (Z(2) @ Z(3)) + 0.25 * (Z(5) @ Z(2)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(2) @ Z(3)) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-3.75, -3.75, -3.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.75, "smallest_bitstrings": ["1101001", "0101101", "0101011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.3449) q[0];
rz(-0.1895) q[0];
rx(-0.006) q[1];
rz(0.4114) q[1];
rx(0.7044) q[2];
rz(0.0034) q[2];
rx(0.0002) q[3];
rz(0.5027) q[3];
rx(0.6701) q[4];
rz(-0.0014) q[4];
rx(0.5622) q[5];
rz(0.0165) q[5];
rx(-0.0001) q[6];
rz(0.4742) q[6];
rx(0.3479) q[0];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
7d8c120b950f82240c2b01ae7c753ace | 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": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 0, "target": 8}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "s... | {"states": [438, 247], "expectation_value": -8.83676530958731, "params": null, "bitstrings": ["001001001", "100001000"], "total_optimization_steps": 82, "probabilities": [0.1203732110844705, 0.5562330147115188], "optimization_time": 150.69926714897156} | -0.25 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(1) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(5) @ Z(6)) + -1.25 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(4)) + -0.5 * (Z(7) @ Z(6)) + -0.25 * (Z(7) @ Z(1)) + -1.75 * (Z(7) @ Z(4)) + -0.25 * (Z(7) @ Z(5)) + -1.25 * (Z(2) @ Z(8)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(3)... | 1 | 9 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["100000000", "100001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(-1.5709) q[5];
ry(1.5706) q[1];
cry(1.5706) q[7], q[4];
cry(1.5681) q[8], q[2];
ry(0.6794) q[7];
cry(1.4745) q[7], q[6];
cry(0.3215) q[6], q[4];
cry(0.5136) q[4], q[7];
cry(1.4966) q[7]... | null | {"source": 0, "sink": 8} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(-1.5709) q[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] = ... |
4341137272835092067 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[2, 5], [0, 2], [0, 1], [1, 3], [3, 4]]} | {"states": [26, 37], "expectation_value": -0.030869608920251798, "params": [[-0.049600000000000005], [0.0629]], "bitstrings": ["100101", "011010"], "total_optimization_steps": 10, "probabilities": [0.016606470597249793, 0.016606470597249793], "optimization_time": 0.405031681060791} | 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["011010", "100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(-0.0496) q[2];
cx q[5], q[2];
cx q[2], q[0];
rz(-0.0496) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(-0.0496) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(-0.0496) q[3];
cx q[1], q[3];
cx q[3], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[2];
rz(x0) q[2];
cx q[5], q[2];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[1], q[3];
rz(x0) q... | null | {"circuits": [], "gradients": []} |
1879665784928598144 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [1, 2], [2, 3, 4, 5, 8], [0, 2, 5, 6, 7, 8], [0, 1, 3, 4, 5, 6, 8], [0, 4, 6, 7, 8], [1, 7]]} | {"states": [444, 429], "expectation_value": -0.5159744099077497, "params": [[-0.26330000000000003], [0.2718]], "bitstrings": ["001000011", "001010010"], "total_optimization_steps": 30, "probabilities": [0.004210045904996577, 0.004234396669996745], "optimization_time": 2.0815980434417725} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(7)) + 0.023809523809523808 * (Z(1) @ Z(3)) + 0.03333333333333333 * (Z(2) @ Z(7)) + 0.05 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.05 * (Z(4) @ Z(7)) + 0.07380952380952381 * (Z(4) @ Z(3)) + 0.023809523809523808 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(2)) + 0.03333333333333333 * (Z(5) @ Z... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.2428571428571424], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.2095238095238097, "smallest_bitstrings": ["001010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[3];
rz(-0.2633) q[3];
cx q[7], q[3];
cx q[7], q[1];
rz(-0.2633) q[1];
cx q[7], q[1];
cx q[3], q[1];
rz(-0.0125) q[1];
cx q[3], q[1];
cx q[7], q[2];
rz(-0.0176) q[2];
cx q[7], 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | null | {"circuits": [], "gradients": []} |
3357885450978157732 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 3, 6], [8, 2, 7], [2, 4], [8, 4], [5, 6]]} | {"states": [101, 357], "expectation_value": -1.867186594515311, "params": null, "bitstrings": ["110011010", "010011010"], "total_optimization_steps": 69, "probabilities": [0.2093179693008699, 0.2693616938018606], "optimization_time": 97.42390322685242} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(1)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(8) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.16666666666666... | 1 | 9 | 1 | {"smallest_eigenvalues": [-2.083333333333333, -2.083333333333333, -2.083333333333333, -2.083333333333333], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.9999999999999998, "smallest_bitstrings": ["100011010", "010011010", "000111010", "000010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cry(-1.0342) q[8], q[4];
ry(0.971) q[8];
cry(-0.8029) q[2], q[4];
ry(1.1394) q[2];
ry(-0.3977) q[4];
cry(-1.0342) q[6], q[5];
ry(0.9138) q[6];
ry(-0.6219) q[5];
cry(0.452) q[2], q[6];
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[8], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n... |
ea6f28b1d52734982303edc3e4a649bb | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 7, "source": 0, "target": 1}, {"weight": 13, "source": 1, "target": 6}, {"weight": 11, "source": 1, "target": 5}, {"weight": 8, "source": 2, "target": 3}, {"... | {"states": [206, 110], "expectation_value": -3.9173542655541875, "params": [[-0.0324], [0.0261]], "bitstrings": ["00110001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.004817619681219605, 0.004909935864924286], "optimization_time": 2.1179449558258057} | 4.0 * (Z(0) @ Z(2)) + 4.0 * (Z(1) @ Z(2)) + 4.0 * (Z(1) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(3) @ 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(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 4.0 * (Z(7) @ Z(6)) + 6.5 * Z(2) +... | 1 | 8 | 1 | {"smallest_eigenvalues": [-62.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -56.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
rz(-0.2592) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.2592) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(-0.2592) q[1];
cx q[0], q[1];
cx q[1], q[4];
rz(-0.2592) q[4];
cx q[1], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[2], q[0];
r... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
6040130108543517169 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12], "hyperedges": [[1, 3, 4, 5, 6, 7, 9, 10], [11, 1, 3, 6], [0, 1, 3, 8, 10], [0, 9, 10, 7], [1, 2, 3, 8, 10], [4, 5, 6, 7, 10, 12], [1, 2, 6, 7, 8, 9, 10], [0, 1, 4, 5, 11, 12], [1, 6, 9, 10, 12], [0, 1, 2, 9, 10, 11, 12], [1, 2, 4, 6, 8, 10], [1, 2, 5, 9, 11], [2, 3,... | {"states": [6013, 6011], "expectation_value": -4.4053410314001615, "params": [1.1383, 1.5659, 1.6665, 1.5817, 1.5948, 1.5494, 1.5473000000000001, 1.6099, 1.2546000000000002, 1.3496000000000001, 0.43860000000000005, 0.4586, 1.5838, 1.5818, 1.5162, 1.6291, 1.4380000000000002, 1.6108, 1.4458, 1.6255000000000002, 1.6761000... | 0.26785714285714285 * (Z(1) @ Z(3)) + 0.10833333333333334 * (Z(4) @ Z(3)) + 0.24999999999999997 * (Z(4) @ Z(1)) + 0.13452380952380952 * (Z(5) @ Z(3)) + 0.175 * (Z(5) @ Z(1)) + 0.1261904761904762 * (Z(5) @ Z(4)) + 0.15833333333333333 * (Z(6) @ Z(3)) + 0.36666666666666664 * (Z(6) @ Z(1)) + 0.2107142857142857 * (Z(6) @ Z(... | 14 | 13 | 1 | {"smallest_eigenvalues": [-5.436904761904761], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.382142857142855, "smallest_bitstrings": ["0100010000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
ry(1.1383) q[0];
ry(1.6665) q[1];
ry(1.5948) q[2];
ry(1.5473) q[3];
ry(1.2546) q[4];
ry(0.4386) q[5];
ry(1.5838) q[6];
ry(1.5162) q[7];
ry(1.438) q[8];
ry(1.4458) q[9];
ry(1.6761) q[10];
ry(1.6205) q[11];
ry(1.2743) q[12];
crx(1.1699) q[12], q[0];
crx(0.9247... | OPENQASM 3.0;
include "stdgates.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": []} |
222da723e9a46931eb34c7c524cc180a | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 7}, {"capac... | {"states": [1, 129], "expectation_value": -8.385625197758161, "params": [-0.015700000000000002, 0.0429, -0.013900000000000001, 0.054400000000000004, -0.013000000000000001, 0.17700000000000002, -0.004, 0.2104, -0.27540000000000003, -0.0038, -0.2697, -0.0027, -0.0007, 0.23900000000000002, -0.00030000000000000003, 0.23720... | -0.25 * (Z(0) @ Z(3)) + -0.75 * (Z(4) @ Z(3)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -0.25 * (Z(1) @ Z(3)) + -0.5 * (Z(8) @ Z(3)) + -0.25 * (Z(8) @ Z(4)) + -0.75 * (Z(8) @ Z(7)) + -0.75 * (Z(8) @ Z(1)) + 1.25 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(4)) + -0.25 * (Z(9) @ Z(1)) + -0.25 * (Z(9) @ Z(8)) + -0.25 * (Z(... | 6 | 10 | 3 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -8.0, "smallest_bitstrings": ["1111111110", "1101111110", "1001111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0157) q[0];
rz(0.0429) q[0];
rx(-0.013) q[1];
rz(0.177) q[1];
rx(-0.2754) q[2];
rz(-0.0038) q[2];
rx(-0.0007) q[3];
rz(0.239) q[3];
rx(-0.0044) q[4];
rz(0.2344) q[4];
rx(-0.001) q[5];
rz(0.1868) q[5];
rx(-0.0038) q[6];
rz(0.182) q[6];
rx(-0.0027) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
ef1b258390ebdcaf766a21bfe0acae0d | 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": [645, 1669], "expectation_value": -94.84629249141909, "params": [[0.22130000000000002, 0.7982, -0.0212, 0.6722, -0.1301, 0.006200000000000001, 0.0063, -0.0027, 0.7514000000000001, -0.0608, 0.798], [0.07200000000000001, 0.5985, -0.020900000000000002, 0.6607000000000001, -0.0472, 0.0024000000000000002, 0.00030... | 7.0 * (Z(1) @ Z(2)) + 7.0 * (Z(0) @ Z(2)) + 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(3) @ Z(1)) + 7.0 * (Z(4) @ Z(3)) + 7.0 * (Z(7) @ Z(0)) + 7.0 * (Z(8) @ Z(2)) + 7.0 * (Z(8) @ Z(7)) + 7.0 * (Z(9) @ Z(1)) + 7.0 * (Z(9) @ Z(3)) + 7.0 * (Z(10) @ Z(2)) + 7.0 * (Z(10) @ Z(8)) + 17.5 * Z(2) + 22.0 * Z(1) + 15.0 * Z(0) + 15.0 * Z(3) ... | 10 | 11 | 4 | {"smallest_eigenvalues": [-114.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -110.5, "smallest_bitstrings": ["00101111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.2213) q[0];
ry(0.7982) q[1];
ry(-0.0212) q[2];
ry(0.6722) q[3];
ry(-0.1301) q[4];
ry(0.0062) q[5];
ry(0.0063) q[6];
ry(-0.0027) q[7];
ry(0.7514) q[8];
ry(-0.0608) q[9];
ry(0.798) q[10];
cz q[10], q[9];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz 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[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6], \"right_nodes\": [7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
fc2a0aab6aa71710f421b73642e2514f | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [222, 399], "expectation_value": -0.21066667617003498, "params": [[0.0659, 0.049300000000000004, 0.0678], [-0.0648, -0.0414, -0.0514]], "bitstrings": ["100100001", "001110000"], "total_optimization_steps": 10, "probabilities": [0.003074028735019396, 0.003074028735019401], "optimization_time": 12.922960519790... | 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(4)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(0) @ Z(5) @ Z(4)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(1) @ Z(7)) + 0.125 * (Z(3) @ Z(6)) + 0.125 * (Z(3) @ Z(7)) + ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["001110000", "100100001"]} | 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(0.033) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.033) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.033) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.033) q[0];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x2;
input float[64] x3;
input float[6... | null | {"circuits": [], "gradients": []} |
f717ef50c8ad9f11eca4d69731f66874 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 18, "source": 0, "target": 7}, {"weight": 17, "source": 0, "target": 3}, {"weight": 11, "sourc... | {"states": [345, 241], "expectation_value": -10.005451075485485, "params": [[0.0463], [-0.0716]], "bitstrings": ["010100110", "100001110"], "total_optimization_steps": 10, "probabilities": [0.004276365888026753, 0.004680600680763392], "optimization_time": 1.8952209949493408} | 5.0 * (Z(0) @ Z(2)) + 5.0 * (Z(1) @ Z(2)) + 5.0 * (Z(1) @ Z(0)) + 5.0 * (Z(3) @ Z(0)) + 5.0 * (Z(4) @ Z(0)) + 5.0 * (Z(4) @ Z(1)) + 5.0 * (Z(4) @ Z(3)) + 5.0 * (Z(5) @ Z(1)) + 5.0 * (Z(5) @ Z(3)) + 5.0 * (Z(5) @ Z(4)) + 5.0 * (Z(7) @ Z(2)) + 5.0 * (Z(8) @ Z(7)) + 14.0 * Z(2) + 14.5 * Z(0) + 18.5 * Z(1) + 10.5 * Z(3) + ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-76.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.5, "smallest_bitstrings": ["100001110"]} | 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(0.463) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.463) q[1];
cx q[2], q[1];
cx q[0], q[1];
rz(0.463) q[1];
cx q[0], q[1];
cx q[0], q[3];
rz(0.463) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];... | {"matching": "maximum", "extra": "{\"n\": 9}"} | {"circuits": [], "gradients": []} |
-2252149188418540827 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 4, 6], [1, 4], [0, 3, 7], [9, 3, 1, 7], [3, 4, 5, 6, 9], [0, 1, 5, 6, 8], [0, 9, 8], [3, 4, 5, 7], [0, 2, 4, 5, 9], [0, 5, 7], [8, 2, 7], [0, 9, 7], [9, 1, 6, 7], [8, 2, 4, 5], [9, 5, 1, 6], [0, 9, 5, 1], [1, 3, 6, 8, 9], [4, 6, 7, 8, 9]]} | {"states": [986, 471], "expectation_value": -2.2837894823359832, "params": [[0.2748], [-0.2826]], "bitstrings": ["0000100101", "1000101000"], "total_optimization_steps": 30, "probabilities": [0.003706382840479831, 0.0037119478623870005], "optimization_time": 6.17711067199707} | 0.08333333333333333 * (Z(2) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(3)) + 0.21666666666666667 * (Z(4) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(2)) + 0.18333333333333335 * (Z(6) @ Z(4)) + 0.13333333333333333 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + 0.26666666666666666 * (Z(1) @ Z(... | 1 | 10 | 1 | {"smallest_eigenvalues": [-4.249999999999998], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.183333333333334, "smallest_bitstrings": ["1000101000"]} | 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[3], q[2];
rz(0.0458) q[2];
cx q[3], q[2];
cx q[3], q[4];
rz(0.1191) q[4];
cx q[3], q[4];
cx q[2], q[4];
rz(0.1191) q[4];
cx q[2], q[4];
cx q[3], q[6];
rz(0.1008) q[6];
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[... | null | {"circuits": [], "gradients": []} |
eb9f82d0aaa03fdb655e5d6e72b145a4 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [0, 4095], "expectation_value": -13.351339550565609, "params": [[[0.0024000000000000002, 1.6102], [0.003, 0.0023], [0.0034000000000000002, -0.0031000000000000003], [0.0027, 0.0023], [0.002, 0.8026000000000001], [0.0011, 0.0028], [0.0024000000000000002, 0.11720000000000001], [0.002, 0.0017000000000000001], [0... | -2.0 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + -1.0 * (Z(4) @ Z(5)) + -1.5 * (Z(6) @ Z(7)) + -2.0 * (Z(8) @ Z(9)) + -2.0 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.0 * (Z(11) @ Z(9)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(11) @ Z(10))... | 15 | 12 | 1 | {"smallest_eigenvalues": [-18.5, -18.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -17.5, "smallest_bitstrings": ["000000000000", "000000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0024) q[0];
ry(0.003) q[1];
ry(0.0034) q[2];
ry(0.0027) q[3];
ry(0.002) q[4];
ry(0.0011) q[5];
ry(0.0024) q[6];
ry(0.002) q[7];
ry(0.0021) q[8];
ry(-0.0025) q[9];
ry(-0.0035) q[10];
ry(0.0023) q[11];
cx q[11], q[0];
cx q[10], q[11];
cx q[9], q[10];
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] x2;
input float[64] x3;
input float[6... | {"node": 6} | {"circuits": [], "gradients": []} |
a580e4976632c242f00336b6365a3eca | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [469, 213], "expectation_value": -65.89409033462354, "params": [1.4816, 0.001, 2.9943, 0.0059, 2.995, 0.0049, 0.3674, 0.005200000000000001, 3.0, 0.0085, 0.0021000000000000003, 0.0083, 2.9986, 0.0009000000000000001, 0.5906, 0.0021000000000000003, 3.0029000000000003, 0.0068000000000000005, 0.001800000000000000... | 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(4)) + 5.5 * (Z(7) @ Z(8)) + 5.5 * (Z(6) @ Z(0)) + 5.5 * (Z(6) @ Z(8)) + 5.5 * (Z(6) @ Z(7)) + 10.0 * Z(0) + 9.0 * Z(2) + 12.5 * Z(1) + 1.0 * Z(3) + 6.0 * Z(4) + -3.0 * Z(5) + 9.5 * Z(8) + 2.5 * ... | 18 | 9 | 1 | {"smallest_eigenvalues": [-74.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -65.5, "smallest_bitstrings": ["100101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.4816) q[0];
rz(0.001) q[0];
rx(2.9943) q[1];
rz(0.0059) q[1];
rx(2.995) q[2];
rz(0.0049) q[2];
rx(0.3674) q[3];
rz(0.0052) q[3];
rx(3.0) q[4];
rz(0.0085) q[4];
rx(0.0021) q[5];
rz(0.0083) q[5];
rx(2.9986) q[6];
rz(0.0009) q[6];
rx(0.5906) q[7];
rz(0.0021)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3], \"right_nodes\": [4, 5, 6, 7, 8, 9]}"} | {"circuits": [], "gradients": []} |
561e25a031eb9a8799f924eeb4c8438f | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [37, 100], "expectation_value": -3.996515438228178, "params": null, "bitstrings": ["1011010", "0011011"], "total_optimization_steps": 26, "probabilities": [0.06700899265493479, 0.9297459340173706], "optimization_time": 16.924930810928345} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.0 * Z(5) + -0.5 * Z(6) + -0.5 * Z(1) + -1.0 * Z(3) + -0.5 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1001110", "0110011", "0011011", "1101100", "1011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[2];
ry(-1.5681) q[5];
ry(-1.4449) q[3];
ry(1.4449) q[4];
ry(1.4417) q[1];
cry(-1.0398) q[0], q[6];
ry(0.7022) q[0];
ry(-0.4577) q[6];
cry(0.497) q[4], q[0];
cry(-0.3761) q[4], q[6];
cry(0.24... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6363109502043437547 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[2, 3, 5, 6, 7], [0, 4, 5], [2, 4, 5, 7, 9], [0, 1, 2, 4, 8], [1, 2, 3, 4, 5, 8, 9], [0, 1, 2, 3, 7, 8], [2, 4, 5, 6, 8], [1, 5, 6, 7, 9], [9, 4, 6], [8, 0, 3, 6]]} | {"states": [921, 985], "expectation_value": -2.1637940802058844, "params": [3.1437, 0.0, 3.1385, 0.0021000000000000003, 3.1435, 0.0036000000000000003, 1.6259000000000001, 0.0074, 0.3599, 0.0032, 3.1394, 0.0046, 3.1436, 0.007, 0.3738, 0.006900000000000001, 0.3786, 0.0063, 3.1385, 0.0028, 0.0055000000000000005, 0.0001, 0... | 0.10714285714285715 * (Z(2) @ Z(3)) + 0.07380952380952381 * (Z(5) @ Z(3)) + 0.1738095238095238 * (Z(5) @ Z(2)) + 0.13333333333333333 * (Z(6) @ Z(3)) + 0.1 * (Z(6) @ Z(2)) + 0.15000000000000002 * (Z(6) @ Z(5)) + 0.08333333333333334 * (Z(7) @ Z(3)) + 0.13333333333333333 * (Z(7) @ Z(2)) + 0.15000000000000002 * (Z(7) @ Z(5... | 16 | 10 | 1 | {"smallest_eigenvalues": [-2.3071428571428574, -2.3071428571428574], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.307142857142857, "smallest_bitstrings": ["0000100110", "1010000001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(3.1437) q[0];
rz(0) q[0];
rx(3.1385) q[1];
rz(0.0021) q[1];
rx(3.1435) q[2];
rz(0.0036) q[2];
rx(1.6259) q[3];
rz(0.0074) q[3];
rx(0.3599) q[4];
rz(0.0032) q[4];
rx(3.1394) q[5];
rz(0.0046) q[5];
rx(3.1436) q[6];
rz(0.007) q[6];
rx(0.3738) q[7];
rz(0.0069... | OPENQASM 3.0;
include "stdgates.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": []} |
d649df7ae1b816002ad94faf1848d20e | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 7}, {"source": 1, "target": 8}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"sour... | {"states": [416, 432], "expectation_value": -3.311051273018221, "params": [0.39880000000000004, 0.402, 0.399, 0.39830000000000004, 0.17370000000000002, 0.1802, 0.3426, 0.3522, 0.3158, 0.3105, -0.006500000000000001, -0.0041, 0.19260000000000002, 0.1865, 0.135, 0.1429, 0.0041, 0.006200000000000001, 0.39890000000000003, 0... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(1) @ Z(7)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(7)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(7) + -0.5 * Z(1) + -1.5 * Z(8) + -0.5 * Z(2) + 0.0 * Z(3) + -0.5... | 13 | 9 | 3 | {"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": ["101000111", "001011011", "010101101", "011011001", "000101111", "010111001", "011001110", "011001101", "000111011", "001001111",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3988) q[0];
ry(0.399) q[1];
ry(0.1737) q[2];
ry(0.3426) q[3];
ry(0.3158) q[4];
ry(-0.0065) q[5];
ry(0.1926) q[6];
ry(0.135) q[7];
ry(0.0041) q[8];
crz(-0.2253) q[8], q[0];
crz(-0.2454) q[7], q[8];
crz(0.0798) q[6], q[7];
crz(0.1955) q[5], q[6];
crz(0.0336... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input... | null | {"circuits": [], "gradients": []} |
9537b03a0720fea9486a83164aae2375 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 4, "source": 1, "target": 3}, {"capacity": 4, "source": 1, "target": 4}, {"capaci... | {"states": [62, 1], "expectation_value": -1.3976261955377742, "params": [[-0.069], [0.0734]], "bitstrings": ["000001", "111110"], "total_optimization_steps": 10, "probabilities": [0.022528344475713287, 0.024592778374972084], "optimization_time": 1.5353665351867676} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(3) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -1.75 * (Z(2) @ Z(3)) + -3.5 * (Z(2) @ Z(4)) + 3.25 * (Z(5) @ Z(0)) + -1.75 * (Z(5) @ Z(4)) + 0.0 * Z(1) + -0.25 * Z(0) + -0.75 * Z(3) + 0.75 * Z(4) + -1.25 * Z(2) + 1.5 * Z(5) | 1 | 6 | 1 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.25, "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(0.207) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.138) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.207) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.138) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.069) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
2c6eb766ab3528fa7b498e04b0afce9c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "ta... | {"states": [0, 14], "expectation_value": -5.518037794303323, "params": [0.2238, -0.1481, 0.09860000000000001, 0.18960000000000002, 0.0898, 0.2116, 0.0417, -0.2185, 0.4887, -0.0028, 0.504, -0.0036000000000000003, 0.4882, 0.0011, 0.0425, 0.251, 0.22440000000000002, -0.14880000000000002, 0.09280000000000001, 0.19690000000... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) ... | 4 | 8 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["00011111", "11110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2238) q[0];
rz(-0.1481) q[0];
rx(0.0986) q[1];
rz(0.1896) q[1];
rx(0.0898) q[2];
rz(0.2116) q[2];
rx(0.0417) q[3];
rz(-0.2185) q[3];
rx(0.4887) q[4];
rz(-0.0028) q[4];
rx(0.504) q[5];
rz(-0.0036) q[5];
rx(0.4882) q[6];
rz(0.0011) q[6];
rx(0.0425) 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": []} |
b4844a241e7c75ea7eb690acd3c4c004 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [1, 2], "expectation_value": -0.8831399904840991, "params": null, "bitstrings": ["110", "101"], "total_optimization_steps": 8, "probabilities": [0.12891599074045149, 0.7538151034229991], "optimization_time": 1.9667487144470215} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * Z(1) + -0.5 * Z(0) + -0.5 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-1.0, -1.0, -1.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": 0.0, "smallest_bitstrings": ["110", "101", "011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.4449) q[0];
cry(-1.0398) q[1], q[2];
ry(0.6944) q[1];
ry(-0.451) q[2];
cry(-0.2383) q[2], q[1];
cry(-0.112) q[1], q[0];
cry(-0.0349) q[2], q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.4449) q[0];\ncry(-1.0398... |
11576eab70c2ec583415b5e8bd58f9e2 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, {"source": ... | {"states": [21, 28], "expectation_value": -3.499901759135221, "params": null, "bitstrings": ["101010", "100011"], "total_optimization_steps": 26, "probabilities": [1.6353512195995074e-05, 0.9999508518713515], "optimization_time": 18.954601764678955} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 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(2) @ Z(5)) + -1.0 * Z(1) + -1.0 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -0.5 * Z(5) + 0.0 * Z(2) | 1 | 6 | 3 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "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(-1.5681) q[0];
ry(-1.4449) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[2];
ry(1.4417) q[3];
ry(1.4384) q[1];
cry(-0.1259) q[3], q[4];
cry(-0.1259) q[2], q[5];
cry(0.1248) q[3], q[1];
cry(0.1216) q[1], q[2];
cry(0.121... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(-1.5681) q[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... |
b7602418da2fb1da8d0e3bf56e052253 | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 2, "target": 4}, ... | {"states": [80, 39], "expectation_value": -0.19790406176650413, "params": [[-0.0286, -0.0497], [0.0043, 0.0516]], "bitstrings": ["0101111", "1011000"], "total_optimization_steps": 10, "probabilities": [0.008677962461063764, 0.009059041614787305], "optimization_time": 3.1100270748138428} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(3) + -0.5 * Z(4) + -1.0 * Z(5) + -1.5 * Z(2) + -0.5 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.5, "smallest_bitstrings": ["1011000"]} | 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(-0.0286) q[0];
cx q[1], q[0];
cx q[0], q[3];
rz(-0.0286) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0286) q[4];
cx q[0], q[4];
cx q[0], q[5];
rz(-0.0286) q[5];
cx q[0], q[5];
cx q[3], q[5... | 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": []} |
746f1e81413b4bda09e25f752f01507b | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 0, "target": 7}, {"sour... | {"states": [27, 155], "expectation_value": -6.055473395334483, "params": [-0.0015, 0.0024000000000000002, 1.6016000000000001, 0.002, 0.0045000000000000005, 0.0067, 0.0046, 0.009600000000000001, 1.6017000000000001, 0.0076, 1.6129, 0.0056, 0.3498, 0.006, 1.6067, 0.0056, 1.6064, 0.004, 0.007, 0.0009000000000000001, 0.0017... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(7) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(8)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) ... | 3 | 9 | 1 | {"smallest_eigenvalues": [-8.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.5, "smallest_bitstrings": ["101100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0015) q[0];
rz(0.0024) q[0];
rx(1.6016) q[1];
rz(0.002) q[1];
rx(0.0045) q[2];
rz(0.0067) q[2];
rx(0.0046) q[3];
rz(0.0096) q[3];
rx(1.6017) q[4];
rz(0.0076) q[4];
rx(1.6129) q[5];
rz(0.0056) q[5];
rx(0.3498) q[6];
rz(0.006) q[6];
rx(1.6067) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
0baf743d2b6cfc8b6e600b5313918496 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "target": 3}, {"capaci... | {"states": [1, 15], "expectation_value": -6.001757164868416, "params": [-0.0027, 0.0048000000000000004, -0.0022, 0.3917, 0.0601, -0.004200000000000001, 0.0863, 0.0033, 0.8005, 2.7405, 3.1386000000000003, 0.0051, 0.0019, -0.002, 3.0048000000000004, 2.9979, -0.8277], "bitstrings": ["111110", "110000"], "total_optimizatio... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(4) @ Z(0)) + -0.5 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.25 * (Z(3) @ Z(2)) + 1.25 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(4)) + -1.0 * Z(1) + -0.25 * Z(0) + 0.0 * Z(4) + 0.25 * Z(2) + 0.5 * Z(3) + 0.5 * Z(5) | 4 | 6 | 1 | {"smallest_eigenvalues": [-6.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.5, "smallest_bitstrings": ["110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.0027) q[0];
rz(0.0048) q[0];
rx(-0.0022) q[1];
rz(0.3917) q[1];
rx(0.0601) q[2];
rz(-0.0042) q[2];
rx(0.0863) q[3];
rz(0.0033) q[3];
rx(0.8005) q[4];
rz(2.7405) q[4];
rx(3.1386) q[5];
rz(0.0051) q[5];
crx(-0.8277) q[5], q[4];
crx(2.9979) q[4], q[3];
crx(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6468206389165533645 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[3, 7], [1, 2], [3, 6], [6, 7], [0, 6], [2, 7], [8, 3], [2, 5], [0, 8], [0, 1], [1, 5], [1, 3], [1, 6], [3, 4]]} | {"states": [213, 298], "expectation_value": -0.0002809602479129699, "params": [[0.0036000000000000003], [-0.0028]], "bitstrings": ["100101010", "011010101"], "total_optimization_steps": 10, "probabilities": [0.001953752225669208, 0.001953752225669208], "optimization_time": 0.7143075466156006} | 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(6)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + 0.0 * Z(7) +... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 10, "first_excited_energy": -3.0, "smallest_bitstrings": ["100101010", "010010011", "101100000", "101101100", "011010101", "010011111", "101100100", "101101000", "010011011", "010010111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[3];
rz(0.0036) q[3];
cx q[7], q[3];
cx q[3], q[1];
rz(0.0036) q[1];
cx q[3], q[1];
cx q[7], q[2];
rz(0.0036) q[2];
cx q[7], q[2];
cx q[1], q[2];
rz(0.0036) q[2];
cx q[1], q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[7], q[3];
rz(x0) q[3];
cx q[7], q[3];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[7], q[2];
rz(x0) q[2];
cx q[7], q[2];... | null | {"circuits": [], "gradients": []} |
117d5eadcb002c843d1e10097e462227 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 4}, {"source": 1, "target": 2}]} | {"states": [23, 15], "expectation_value": -3.9991448582839038, "params": null, "bitstrings": ["101000", "110000"], "total_optimization_steps": 28, "probabilities": [0.06552908063149088, 0.933866261433082], "optimization_time": 23.909090757369995} | 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(5) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + -0.5 * Z(1) + -2.0 * Z(0) + -0.5 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["110000", "101000"]} | 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(1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[3];
cry(-1.0342) q[2], q[1];
ry(0.7003) q[2];
ry(-0.4549) q[1];
cry(0.4963) q[5], q[2];
cry(-0.3789) q[5], q[1];
cry(0.2489) q[4], q[2];
cry(-0.148... | 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... |
-8700814918655973787 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[2, 4, 7], [0, 1], [5, 6], [2, 4, 5], [1, 4, 7], [0, 6], [0, 8, 3], [2, 6], [1, 5, 7], [1, 2], [8, 3, 5], [3, 7], [8, 2, 7], [2, 3, 5], [0, 2, 5], [0, 2, 7], [8, 6, 7], [8, 1, 6]]} | {"states": [271, 331], "expectation_value": -5.026093737106386, "params": null, "bitstrings": ["011110000", "010110100"], "total_optimization_steps": 54, "probabilities": [0.06688662140639577, 0.8504238665299132], "optimization_time": 92.54676246643066} | 0.3333333333333333 * (Z(2) @ Z(4)) + 0.3333333333333333 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.16666666666666666 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.5 * (Z(1) @ Z(0)) + 0.16666666666666666 * (Z(5) @ ... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.333333333333332], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.999999999999999, "smallest_bitstrings": ["010110100"]} | 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[7];
ry(1.5298) q[5];
cry(-1.36) q[2], q[6];
ry(1.442) q[8];
cry(-1.5289) q[7], q[3];
ry(1.3549) q[0];
cry(-1.4945) q[0], q[1];
ry(1.0027) q[2];
cry(-0.7494) q[7], q[6];
cry(0.... | 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(1.5681) 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] = m... |
-1380098830073423629 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[1, 3], [0, 1], [0, 4], [0, 2], [0, 5], [5, 6]]} | {"states": [54, 73], "expectation_value": -0.031728856752950285, "params": [[0.057300000000000004], [-0.0465]], "bitstrings": ["1001001", "0110110"], "total_optimization_steps": 10, "probabilities": [0.008315655007491728, 0.008315655007491728], "optimization_time": 1.4520454406738281} | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(6) | 1 | 7 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["0110110", "1001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(0.0573) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(0.0573) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(0.0573) q[4];
cx q[0], q[4];
cx q[0], q[2];
rz(0.0573) q[2];
cx q[0], q[2];
cx q[0], q[5];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[3], q[1];
rz(x0) q[1];
cx q[3], q[1];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(x0) q[4];
cx q[0], q[4];
cx q[0], q[2];
... | null | {"circuits": [], "gradients": []} |
cb02c01f35b3eb9d4161bd850dfaa72c | community_detection | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 1, "source": 0, "target": 2}, {"weight": 1, "source": 0, "target": 6}, {"weight": 1, "source": 1, "target... | {"states": [22186, 43349], "expectation_value": -0.0248718633083011, "params": [[0.0792], [-0.0799]], "bitstrings": ["1010100101010101", "0101011010101010"], "total_optimization_steps": 10, "probabilities": [1.686200569778594e-05, 1.686200569778594e-05], "optimization_time": 12.986719369888306} | 0.25 * (Z(0) @ Z(1)) + -0.0008749999999999999 * (Z(2) @ Z(0)) + -0.0008749999999999999 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + -0.0008749999999999999 * (Z(4) @ Z(0)) + -0.0010000000000000002 * (Z(4) @ Z(2)) + -0.0008749999999999999 * (Z(5) @ Z(1)) + -0.0010000000000000002 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + 0.000... | 5 | 16 | 1 | {"smallest_eigenvalues": [-2.0212499999999447], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021249999999888, "smallest_bitstrings": ["0101011010101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q[1], q[0];
rz(0.0396) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0001) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0001) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[16] c;
qubit[16] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
h q[12];
h q[13];
h q[14];
h q[15];
cx q... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
9c58c5b77a3170e613a26f379fffeef6 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": ... | {"states": [166, 110], "expectation_value": -0.22140731691897575, "params": [[-0.059500000000000004, -0.042, -0.054400000000000004], [0.0738, 0.0604, 0.0591]], "bitstrings": ["01011001", "10010001"], "total_optimization_steps": 10, "probabilities": [0.005432646250273934, 0.006079406206522776], "optimization_time": 7.84... | 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(4) @ Z(0)) + 0.25 * (Z(0) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(0) @ Z(5)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(1) @ Z(6)) + 0.125 * (Z(4) @ Z(3)) + 0.125 * (Z(3) @ Z(6)) + ... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.375, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.0298) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(-0.0298) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(-0.0298) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(0.0298) q[0];
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[... | null | {"circuits": [], "gradients": []} |
959f05abd479552f0696314b40ef5b74 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 6}, {"source": 0, "target": 8}, {"source": 1, "target": 7}, {"sour... | {"states": [28, 156], "expectation_value": -5.53327440977892, "params": [-0.0046, -0.004, 0.30260000000000004, 0.30670000000000003, -0.007200000000000001, -0.0067, 0.2381, 0.2194, 0.2992, 0.2985, 0.3054, 0.3048, 0.30710000000000004, 0.3083, 0.006900000000000001, 0.0035, 0.0064, -0.0005, -0.0074, -0.0123, 0.308200000000... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(8) @ Z(0)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(8)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(4) @ Z(8)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) ... | 14 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["101100011", "101001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.0046) q[0];
ry(0.3026) q[1];
ry(-0.0072) q[2];
ry(0.2381) q[3];
ry(0.2992) q[4];
ry(0.3054) q[5];
ry(0.3071) q[6];
ry(0.0069) q[7];
ry(0.0064) q[8];
crx(0.1907) q[8], q[0];
crx(-0.0034) q[7], q[8];
crx(-0.0463) q[6], q[7];
crx(0.1665) q[5], q[6];
crx(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
d641b238a610d42d2a4d2049e26c4a8c | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 5, "source": 1, ... | {"states": [113, 97], "expectation_value": -10.35316923629764, "params": null, "bitstrings": ["10001110", "10011110"], "total_optimization_steps": 55, "probabilities": [0.3431873609156808, 0.4603072463763573], "optimization_time": 69.10015678405762} | -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) @... | 1 | 8 | 2 | {"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;
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(-0.7408) q[3];
cry(1.5708) q[1], q[2];
ry(1.0383) q[1];
cry(-0.8298) q[1], q[3];
cry(1.5708) q[1], q[7];
cry(-1.5708) q[7], q[0];
ry(-1.5708) q[6];
ry(-1.5708) q[4];
ry(-1.5685) q[5];
cry(0.480... | 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(-0.7408) 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... |
1cfe150f067bc5d84efb3a14c35d5953 | 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": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 6}, ... | {"states": [129, 131], "expectation_value": -1.3246325671356487, "params": [0.308, 0.30670000000000003, 0.259, 0.2472, 0.2278, 0.2313, 0.0033, 0.0031000000000000003, 0.2242, 0.2237, 0.0057, 0.0007, 0.2868, 0.28450000000000003, 0.2908, 0.29810000000000003, 0.2979, 0.2958, 0.2273, 0.2232, 0.23520000000000002, 0.2371, 0.0... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 13 | 8 | 3 | {"smallest_eigenvalues": [-2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75, -2.75], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.75, "smallest_bitstrings": ["10110101", "10011110", "01010111", "01110101", "10111100", "01011110", "10010111", "01111100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
ry(0.308) q[0];
ry(0.259) q[1];
ry(0.2278) q[2];
ry(0.0033) q[3];
ry(0.2242) q[4];
ry(0.0057) q[5];
ry(0.2868) q[6];
ry(0.2908) q[7];
crz(0.0579) q[7], q[0];
crz(-0.0069) q[6], q[7];
crz(0.277) q[5], q[6];
crz(0.0402) q[4], q[5];
crz(0.3124) q[3], q[4];
crz(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": []} |
6ca7d17fd5da99c16b5e08c2388f4219 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 4, "source": 1, "target": 6}, {"capacity": 2, "s... | {"states": [1, 255], "expectation_value": -0.32778255235865816, "params": [[-0.0511], [0.0659]], "bitstrings": ["111111110", "100000000"], "total_optimization_steps": 10, "probabilities": [0.002489063315876722, 0.0024896453244309894], "optimization_time": 7.018056392669678} | -0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(2) @ Z(5)) + -0.75 * (Z(1) @ Z(2)) + -0.75 * (Z(6) @ Z(5)) + -0.75 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -1.0 * (Z(4) @ Z(1)) + -0.5 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.75 * (Z(7) @ Z(6)) + -0.5 * (Z(7) @ Z(3)) + -0.5 * (Z(7) @... | 1 | 9 | 1 | {"smallest_eigenvalues": [-10.0, -10.0, -10.0, -10.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -9.0, "smallest_bitstrings": ["100000000", "111111110", "101000000", "101100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[5], q[0];
rz(0.0255) q[0];
cx q[5], q[0];
cx q[5], q[2];
rz(0.0766) q[2];
cx q[5], q[2];
cx q[2], q[1];
rz(0.0766) q[1];
cx q[2], q[1];
cx q[5], q[6];
rz(0.0766) q[6];
cx q[5], q[6];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h ... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
587dcb6e41d84a9813084cbb00af17fd | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 4, "source": 0, "target": 2}, {"capacity": 6, "source": 0, "target": 5}, {"capacity": 4, "source": 0, "target":... | {"states": [0, 256], "expectation_value": -25.912831671583497, "params": [-0.0015, 0.0054, 0.8993, 0.006500000000000001, 1.5033, -0.0005, 0.0025, 0.0086, -0.0027, 0.0001, -0.0027, 0.0029000000000000002, -0.0027, 0.004, -0.0026000000000000003, 0.0039000000000000003, -0.0027, 0.0036000000000000003, -0.0025, 0.0102, -0.00... | -1.0 * (Z(0) @ Z(3)) + -0.75 * (Z(6) @ Z(3)) + -1.5 * (Z(6) @ Z(0)) + -1.0 * (Z(8) @ Z(0)) + -1.5 * (Z(10) @ Z(0)) + -1.25 * (Z(10) @ Z(6)) + -0.75 * (Z(7) @ Z(3)) + -1.0 * (Z(7) @ Z(6)) + -0.75 * (Z(7) @ Z(8)) + -1.5 * (Z(7) @ Z(10)) + -0.5 * (Z(1) @ Z(7)) + -2.25 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(8)) + -2.25 * (Z(9... | 4 | 11 | 1 | {"smallest_eigenvalues": [-31.25, -31.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -26.25, "smallest_bitstrings": ["11011111111", "10011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0015) q[0];
rz(0.0054) q[0];
rx(0.8993) q[1];
rz(0.0065) q[1];
rx(1.5033) q[2];
rz(-0.0005) q[2];
rx(0.0025) q[3];
rz(0.0086) q[3];
rx(-0.0027) q[4];
rz(0.0001) q[4];
rx(-0.0027) q[5];
rz(0.0029) q[5];
rx(-0.0027) q[6];
rz(0.004) q[6];
rx(-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[... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
85cb808fe07a0c64082590bbd70dee50 | 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": [606, 602], "expectation_value": -115.43284848170562, "params": [0.0024000000000000002, 1.0404, 1.3931, -0.21430000000000002, 0.7582, -0.3093, 0.0023, 0.9690000000000001, 1.4062000000000001, -0.15030000000000002, 0.47050000000000003, -0.4101, 1.403, -0.0063, 1.3997000000000002, 0.1221, 0.7414000000000001, 0.... | 7.5 * (Z(1) @ Z(2)) + 7.5 * (Z(4) @ Z(2)) + 7.5 * (Z(3) @ Z(4)) + 7.5 * (Z(6) @ Z(1)) + 7.5 * (Z(7) @ Z(2)) + 7.5 * (Z(7) @ Z(4)) + 7.5 * (Z(7) @ Z(6)) + 7.5 * (Z(5) @ Z(6)) + 7.5 * (Z(5) @ Z(7)) + 7.5 * (Z(8) @ Z(1)) + 7.5 * (Z(8) @ Z(6)) + 7.5 * (Z(9) @ Z(1)) + 7.5 * (Z(9) @ Z(6)) + 7.5 * (Z(9) @ Z(8)) + 7.5 * (Z(10)... | 18 | 11 | 2 | {"smallest_eigenvalues": [-142.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -120.5, "smallest_bitstrings": ["10110100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0024) q[0];
rz(1.0404) q[0];
rx(1.3931) q[1];
rz(-0.2143) q[1];
rx(0.7582) q[2];
rz(-0.3093) q[2];
rx(0.0023) q[3];
rz(0.969) q[3];
rx(1.4062) q[4];
rz(-0.1503) q[4];
rx(0.4705) q[5];
rz(-0.4101) q[5];
rx(1.403) q[6];
rz(-0.0063) q[6];
rx(1.3997) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5, 6, 7], \"right_nodes\": [8, 9, 10, 11, 12, 13]}"} | {"circuits": [], "gradients": []} |
e1ee122704659894b3696f576081a2cf | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 6, "source": 0, "target": 1}, {"weight": 20, "source": 0, "target": 2}, {"weight": 13, "source": 1, "target": 6}, {"weight": 7, "source": 2, "targ... | {"states": [222, 218], "expectation_value": -24.041800272697337, "params": [[0.018600000000000002, 0.0128, -0.0001], [-0.0522, -0.06720000000000001, -0.0675]], "bitstrings": ["100100001", "100100101"], "total_optimization_steps": 10, "probabilities": [0.006815266889299209, 0.009581147157929109], "optimization_time": 6.... | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(6) @ Z(7)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 14.5 * Z(1) + 3.0 * Z(0) + 11.0 * ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-82.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.5, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[1], q[0];
rz(0.1674) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.1674) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1674) q[3];
cx q[1], q[3];
cx q[1], q[4];
rz(0.1674) q[4];
cx q[1], q[4];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": [], "gradients": []} |
89c7521d0f4383e77e73ec35feb14209 | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 8, "source": 0, "t... | {"states": [100, 109], "expectation_value": -13.559284827424028, "params": null, "bitstrings": ["10011011", "10010010"], "total_optimization_steps": 100, "probabilities": [0.06131949519475524, 0.07138055406590552], "optimization_time": 171.64807748794556} | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 8.5 * Z(0) + 11.0 * Z(2) + 13.0 * Z(1) + 2.0 * Z(3) + 7.5 * Z(4) + 12.5 * Z(5)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-60.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -55.0, "smallest_bitstrings": ["10010010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(63.0918) q[1];
ry(37.6583) q[5];
ry(-0.8066) q[7];
ry(63.1203) q[2];
ry(11.4534) q[6];
cry(63.0215) q[2], q[5];
cry(30.0723) q[1], q[5];
ry(10.6781) q[4];
ry(3.4165) q[0];
cry(-5.2002) q[1], q[... | null | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(63.0918) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
c62ab19b34e8d40ed7516cccbe0df39c | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 2, "ta... | {"states": [106, 98], "expectation_value": -4.37329562780697, "params": [1.4167, -0.0034000000000000002, 1.7100000000000002, -0.0013000000000000002, 1.7092, 0.0017000000000000001, 0.2454, -0.016900000000000002, 1.4829, -0.0002, 0.0017000000000000001, 0.1411, 1.7084000000000001, -0.0086, -0.0041, 0.0007, -1.4208, 1.4782... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 *... | 4 | 8 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -4.5, "smallest_bitstrings": ["11001101", "11100101", "10011101", "10110011", "10110101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4167) q[0];
rz(-0.0034) q[0];
rx(1.71) q[1];
rz(-0.0013) q[1];
rx(1.7092) q[2];
rz(0.0017) q[2];
rx(0.2454) q[3];
rz(-0.0169) q[3];
rx(1.4829) q[4];
rz(-0.0002) q[4];
rx(0.0017) q[5];
rz(0.1411) q[5];
rx(1.7084) q[6];
rz(-0.0086) q[6];
rx(-0.0041) 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": []} |
3774053569090606942 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[0, 4], [2, 5, 6], [0, 6, 7], [1, 2, 4, 6], [5, 6, 7], [0, 5], [2, 3]]} | {"states": [45, 109], "expectation_value": -0.6832575234389208, "params": [[0.27440000000000003], [-0.2591]], "bitstrings": ["11010010", "10010010"], "total_optimization_steps": 30, "probabilities": [0.00951562781575591, 0.00965890399428071], "optimization_time": 2.2191193103790283} | 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.16666666666666666 * (Z(5) @ Z(2)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.25 * (Z(6) @ Z(2)) + 0.3333333333333333 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(7... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.416666666666667], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.4166666666666665, "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[4], q[0];
rz(0.2744) q[0];
cx q[4], q[0];
cx q[4], q[2];
rz(0.0457) q[2];
cx q[4], q[2];
cx q[0], q[5];
rz(0.2744) q[5];
cx q[0], q[5];
cx q[2], q[5];
rz(0.0915) q[5];
cx q[2], q[5];
cx q[4],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[... | null | {"circuits": [], "gradients": []} |
cffa2817361ddb7e47597a8361b20c50 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"weight": 1, "source": 0, "target": 1}, {"weight": 20, "source": 1, "target": 2}, {"weight": 20, "source": 1, "target": 8}, {"weight":... | {"states": [429, 428], "expectation_value": -103.54815746680387, "params": [0.0135, 0.16110000000000002, 0.007500000000000001, 0.1567, 0.3981, 0.0152, 0.39530000000000004, 0.0137, 0.3929, -0.0026000000000000003, 0.39330000000000004, -0.002, 0.0342, 0.1952, 0.0308, 0.19240000000000002, 0.38730000000000003, 0.0103, 0.387... | 5.5 * (Z(0) @ Z(2)) + 5.5 * (Z(1) @ Z(2)) + 5.5 * (Z(1) @ Z(0)) + 5.5 * (Z(3) @ Z(1)) + 5.5 * (Z(4) @ Z(2)) + 5.5 * (Z(4) @ Z(3)) + 5.5 * (Z(5) @ Z(6)) + 5.5 * (Z(7) @ Z(2)) + 5.5 * (Z(7) @ Z(4)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(2)) + 5.5 * (Z(9) @ Z(4)) + 5.5 * (Z(9) @ Z(7)) + 26.5 * Z(2) ... | 7 | 10 | 4 | {"smallest_eigenvalues": [-112.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -99.0, "smallest_bitstrings": ["1001010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.0135) q[0];
rz(0.1611) q[0];
rx(0.3981) q[1];
rz(0.0152) q[1];
rx(0.3929) q[2];
rz(-0.0026) q[2];
rx(0.0342) q[3];
rz(0.1952) q[3];
rx(0.3873) q[4];
rz(0.0103) q[4];
rx(0.1244) q[5];
rz(0.1561) q[5];
rx(0.3892) q[6];
rz(0.0173) q[6];
rx(0.3911) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [14, 42], "expectation_value": -3.9963046828491047, "params": null, "bitstrings": ["110001", "010101"], "total_optimization_steps": 22, "probabilities": [0.06706466845670207, 0.9295035070622214], "optimization_time": 18.804497003555298} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * Z(1) + -1.0 * Z(0) + -1.0 * Z(3) + -1.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -3.0, "smallest_bitstrings": ["010101", "110100", "110001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(-1.5708) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[2];
cry(-1.0398) q[0], q[3];
ry(0.6944) q[0];
ry(-0.451) q[3];
cry(0.4963) q[4], q[0];
cry(-0.3778) q[4], q[3];
cry(0.2518) q[2], q[0];
cry(-0.149... | 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[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
533fcd480a5175680493f52fe07173d6 | 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": 1, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "source": 1, ... | {"states": [1, 37], "expectation_value": -13.027211987471775, "params": [-0.0022, 0.75, -0.0023, 0.0053, -0.0024000000000000002, 1.8270000000000002, 0.0036000000000000003, 0.0043, -2.1351, -0.0037, 0.48750000000000004, 0.0073, -0.0028, 0.6838000000000001, -0.0028, 0.008, -0.0026000000000000003, 0.7385, -0.0028, 0.0014,... | -1.25 * (Z(0) @ Z(1)) + -0.25 * (Z(4) @ Z(0)) + -0.25 * (Z(6) @ Z(1)) + -0.5 * (Z(6) @ Z(0)) + -1.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + -0.75 * (Z(2) @ Z(4)) + -0.75 * (Z(2) @ Z(6)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + 2.25 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(2)) + -1.0 * (Z(7)... | 6 | 8 | 1 | {"smallest_eigenvalues": [-14.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.0, "smallest_bitstrings": ["11011010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0022) q[0];
rz(0.75) q[0];
rx(-0.0024) q[1];
rz(1.827) q[1];
rx(-2.1351) q[2];
rz(-0.0037) q[2];
rx(-0.0028) q[3];
rz(0.6838) q[3];
rx(-0.0026) q[4];
rz(0.7385) q[4];
rx(0.959) q[5];
rz(-0.0053) q[5];
rx(-0.0028) q[6];
rz(2.11) q[6];
rx(0.2835) 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": []} |
26d7f56e59bfdf48052023802b40605b | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [5, 9], "expectation_value": -2.473733379112567, "params": null, "bitstrings": ["11010", "10110"], "total_optimization_steps": 15, "probabilities": [0.07350741985248108, 0.9006631074695891], "optimization_time": 12.153727531433105} | 0.5 * (Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(1) @ Z(4)) + -0.25 * (Z(0) @ Z(1) @ Z(4)) + 0.25 * (Z(3) @ Z(2)) + 0.25 * (Z(4) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(3) @ Z(4) @ Z(2)) + -0.75 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.75 * Z(3) + 0.0 * Z(4) | 1 | 5 | 1 | {"smallest_eigenvalues": [-2.5, -2.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.5, "smallest_bitstrings": ["11010", "10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5486) q[0];
ry(-1.5486) q[3];
ry(1.4448) q[4];
cry(-1.0344) q[1], q[2];
ry(0.7001) q[1];
ry(-0.4548) q[2];
cry(0.4963) q[4], q[1];
cry(-0.3788) q[4], q[2];
cry(0.1073) q[1], q[4];
cry(-0.0222) q[4], q[0];
cry(-0.07... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5486) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
4c20f1c198d9974c2e06b7b7ac531193 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 2}, {"capacity": 3, "source": 1, "target": 3}, {"capacity": 1, "source": 1, ... | {"states": [123, 127], "expectation_value": -7.212035359874228, "params": null, "bitstrings": ["10000100", "10000000"], "total_optimization_steps": 77, "probabilities": [0.4078207215529959, 0.4078207215529959], "optimization_time": 100.45897173881531} | -0.25 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.25 * (Z(4) @ Z(1)) + -0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(4)) + -1.25 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(4)) + 0.75 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.5 * Z(1) + -0.25 * Z(0) + 1.5 * Z(2) + 0.5 * Z(3) + 1.25 ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["10000100", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[2];
cry(1.5706) q[2], q[4];
cry(1.5681) q[2], q[1];
cry(1.5706) q[4], q[3];
cry(1.5706) q[7], q[6];
ry(0.6996) q[7];
ry(0.4046) q[6];
cry(0.4829) q[1], q[7];
cry(0.2183) q[1], q[6];
c... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[... |
71bc29fb36488a293ce19bf05d480b6c | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, ... | {"states": [88, 7], "expectation_value": -3.7456401896173652, "params": [[0.0784], [-0.07200000000000001]], "bitstrings": ["0100111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011892720452238955, 0.01234130388690976], "optimization_time": 2.3184072971343994} | 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 *... | 18 | 7 | 1 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.5, "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(0.3528) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3528) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3528) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.3528) 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;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | {"k": 4} | {"circuits": [], "gradients": []} |
-3373115122180636722 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 1, 2, 3, 4, 6, 7, 8, 9, 10], [0, 2, 4, 5, 7, 8, 9, 10], [0, 1, 2, 3, 4, 5, 8, 10], [9, 5, 6], [0, 2, 3, 4, 5, 6, 7, 10]]} | {"states": [1653, 1909], "expectation_value": -0.9677029687733341, "params": [3.1444, 0.0017000000000000001, 3.1389, 0.0063, 1.5944, 0.0079, 0.498, 0.0083, 3.1390000000000002, 0.0053, 2.7954000000000003, 0.0, 3.1447000000000003, 0.0077, 0.4197, 0.0086, 3.1437, 0.007, 0.48410000000000003, 0.0097, 3.1438, 0.0036000000000... | 0.02896825396825397 * (Z(0) @ Z(1)) + 0.02896825396825397 * (Z(3) @ Z(1)) + 0.06468253968253967 * (Z(3) @ Z(0)) + 0.02896825396825397 * (Z(4) @ Z(1)) + 0.046825396825396826 * (Z(4) @ Z(0)) + 0.046825396825396826 * (Z(4) @ Z(3)) + 0.02896825396825397 * (Z(5) @ Z(1)) + 0.06468253968253967 * (Z(5) @ Z(0)) + 0.064682539682... | 16 | 11 | 1 | {"smallest_eigenvalues": [-1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856, -1.0357142857142856], "number_of_smallest_eigenvalues": 8, "first_excited_energy": -1.0246031746031745, "smallest_bitstrings": ["00000101010", "000... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(3.1444) q[0];
rz(0.0017) q[0];
rx(3.1389) q[1];
rz(0.0063) q[1];
rx(1.5944) q[2];
rz(0.0079) q[2];
rx(0.498) q[3];
rz(0.0083) q[3];
rx(3.139) q[4];
rz(0.0053) q[4];
rx(2.7954) q[5];
rz(0) q[5];
rx(3.1447) q[6];
rz(0.0077) q[6];
rx(0.4197) q[7];
rz(0.0086)... | OPENQASM 3.0;
include "stdgates.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": []} |
e58428a6900eb2eef0cb4731fd8b4a99 | 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": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 3, "source": 0, "target": 6... | {"states": [33, 45], "expectation_value": -11.493643507879883, "params": null, "bitstrings": ["1011110", "1010010"], "total_optimization_steps": 48, "probabilities": [0.21071138695011513, 0.7829323989572221], "optimization_time": 40.02530765533447} | -0.5 * (Z(0) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -1.0 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(2)) + -0.75 * (Z(6) @ Z(1)) + 2.5 * (Z(6) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(5)) + -0.5 * (Z(4) @ Z(3)) + 1.5 * Z(1) + -0.25 * Z(0) + -0.75 * Z(2) + -2.5 * Z(5) + 1.75 ... | 1 | 7 | 3 | {"smallest_eigenvalues": [-11.5, -11.5, -11.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -10.5, "smallest_bitstrings": ["1111110", "1010010", "1011110"]} | 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[6];
ry(-1.57) q[0];
cry(-1.5708) q[6], q[2];
cry(1.5486) q[6], q[1];
cry(1.0342) q[3], q[4];
cry(1.0518) q[4], q[3];
cry(0.2248) q[6], q[4];
cry(0.1574) q[1], q[3];
ry(0.146... | 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", ... |
93e55d194b256f6966b76e28ee2bee58 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [500, 372], "expectation_value": -89.37237385453942, "params": [1.3893, 0.2286, 0.7792, 0.2765, 1.3924, 0.0037, 1.3902, 0.0014, 1.4006, 0.23850000000000002, 0.3844, 0.7471, 1.4031, 0.20450000000000002, 0.0028, 0.9149, -0.0032, 0.7743, 1.3980000000000001, 0.0067, 0.7815000000000001, 0.0039000000000000003, 1.4... | 6.0 * (Z(3) @ Z(1)) + 6.0 * (Z(0) @ Z(1)) + 6.0 * (Z(0) @ Z(3)) + 6.0 * (Z(2) @ Z(1)) + 6.0 * (Z(2) @ Z(3)) + 6.0 * (Z(2) @ Z(0)) + 6.0 * (Z(4) @ Z(1)) + 6.0 * (Z(4) @ Z(3)) + 6.0 * (Z(4) @ Z(0)) + 6.0 * (Z(4) @ Z(2)) + 6.0 * (Z(5) @ Z(2)) + 6.0 * (Z(6) @ Z(5)) + 6.0 * (Z(7) @ Z(6)) + 6.0 * (Z(8) @ Z(3)) + 13.0 * Z(1) ... | 18 | 9 | 2 | {"smallest_eigenvalues": [-105.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -90.0, "smallest_bitstrings": ["010001011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(1.3893) q[0];
rz(0.2286) q[0];
rx(0.7792) q[1];
rz(0.2765) q[1];
rx(1.3924) q[2];
rz(0.0037) q[2];
rx(1.3902) q[3];
rz(0.0014) q[3];
rx(1.4006) q[4];
rz(0.2385) q[4];
rx(0.3844) q[5];
rz(0.7471) q[5];
rx(1.4031) q[6];
rz(0.2045) q[6];
rx(0.0028) 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], \"right_nodes\": [4, 5, 6, 7, 8, 9, 10]}"} | {"circuits": [], "gradients": []} |
61e72a7f3bba48b5d0ac6a3978f4cc8b | matching | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 10, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 5}, {"weight": 12, "source": 1, "target": 2}, {"weight": 1, "source": 2, "tar... | {"states": [217, 218], "expectation_value": -40.47815299701979, "params": null, "bitstrings": ["100100110", "100100101"], "total_optimization_steps": 100, "probabilities": [0.09004638163920066, 0.16102425564288525], "optimization_time": 188.99739480018616} | 4.5 * (Z(0) @ Z(1)) + 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(3) @ Z(2)) + 4.5 * (Z(4) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(5) @ Z(4)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(7) @ Z(4)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) @ Z(5)) + 4.5 * (Z(8) @ Z(7)) + 8.5 * Z(1) +... | 1 | 9 | 4 | {"smallest_eigenvalues": [-82.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -74.0, "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];
ry(34.778) q[4];
ry(26.0857) q[7];
cry(2.9975) q[7], q[4];
ry(-3.4811) q[5];
ry(11.8178) q[2];
cry(-2.9363) q[7], q[5];
ry(1.6193) q[1];
cry(20.6965) q[1], q[4];
cry(-0.0103) q[7], q[6];
c... | null | {"matching": "maximum", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(34.778) 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... |
e95c8bc22a5c03425fc32d877756198b | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 6}, ... | {"states": [44, 98], "expectation_value": -0.669454828569329, "params": [[0.0632, 0.0596, 0.0599], [-0.058, -0.057, -0.047900000000000005]], "bitstrings": ["1010011", "0011101"], "total_optimization_steps": 10, "probabilities": [0.012187967838639843, 0.012880894504053325], "optimization_time": 7.88780951499939} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(4)) + -0.5 * Z(2) + -1.5 * Z(0) + -0.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(6) + -0.5 * Z(1) + -0.5 * Z(5) | 1 | 7 | 3 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1100110", "1101100", "1010011", "0011101", "1100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[2], q[0];
rz(0.0632) q[0];
cx q[2], q[0];
cx q[0], q[3];
rz(0.0632) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(0.0632) q[4];
cx q[0], q[4];
cx q[0], q[6];
rz(0.0632) q[6];
cx q[0], q[6];
cx q[4], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x... | null | {"circuits": [], "gradients": []} |
92e0d9744e7b0376f2c61fec7a621b77 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 3}, {"source": ... | {"states": [104, 105], "expectation_value": -1.8897533893397451, "params": [0.7090000000000001, 0.0033, 0.7008, -0.12240000000000001, 0.22060000000000002, -0.2293, 0.7008, 0.234, 0.2605, 0.3836, -0.0012000000000000001, 0.5198, 0.5874, 0.00030000000000000003, 0.7001000000000001, -0.0026000000000000003, 0.7073, -0.1373, ... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(5) @ Z(0)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(0) @ Z(3)) + 0.25 * (Z(1) @ Z(4)) + 0.25 * (Z(6) @ Z(1)) + 0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(1) @ Z(4)) ... | 18 | 7 | 3 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.25, "smallest_bitstrings": ["0010110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.709) q[0];
rz(0.0033) q[0];
rx(0.7008) q[1];
rz(-0.1224) q[1];
rx(0.2206) q[2];
rz(-0.2293) q[2];
rx(0.7008) q[3];
rz(0.234) q[3];
rx(0.2605) q[4];
rz(0.3836) q[4];
rx(-0.0012) q[5];
rz(0.5198) q[5];
rx(0.5874) q[6];
rz(0.0003) q[6];
crz(0.0016) q[6], q[0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2d427a1b11a2ac0cd77be7e19f4886a5 | 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": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [17, 31], "expectation_value": -5.003273325054742, "params": null, "bitstrings": ["101110", "100000"], "total_optimization_steps": 46, "probabilities": [0.06089525169923372, 0.7530569891117818], "optimization_time": 36.72705554962158} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 2 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "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(1.5708) q[4], q[3];
ry(0.7238) q[4];
cry(1.5643) q[4], q[1];
cry(1.5697) q[3], q[2];
cry(0.3063) q[2], q[3];
cry(0.3833) q[2], q[4];
ry(0.0779) q[3];
ry(-1.0342) q[0];
cry(1.3425) q[1], q[5];
cry(-0.4961) q[5... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5708) q[4], q[3];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
64b81587301614454a8e204aef648a08 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 5, "source": 1, ... | {"states": [103, 111], "expectation_value": -12.474865994844917, "params": null, "bitstrings": ["10011000", "10010000"], "total_optimization_steps": 66, "probabilities": [0.4267754212591789, 0.4267757631547689], "optimization_time": 70.63761782646179} | -0.25 * (Z(0) @ Z(1)) + -1.5 * (Z(3) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.25 * (Z(7) @ Z(1)) + 2.0 * (Z(7) @ Z(0)) + -0.75 * (Z(2) @ Z(3)) + -1.0 * (Z(2) @ Z(4)) + -0.75 * (Z(5) @ Z(3)) + -1.25 * (Z(5) @ Z(2)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(5)) + 1.75 * Z(1) + -0.25 * Z(0) + -3.0 * Z(3) + -1.75 * Z(4) + 0.75... | 1 | 8 | 3 | {"smallest_eigenvalues": [-13.5, -13.5, -13.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -11.5, "smallest_bitstrings": ["10010000", "10011000", "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];
ry(-1.5709) q[3];
cry(-1.5708) q[7], q[0];
ry(1.0958) q[7];
ry(1.5708) q[1];
ry(1.5708) q[2];
cry(-0.5613) q[2], q[0];
cry(0.3735) q[1], q[7];
cry(-0.1769) q[1], q[0];
cry(1.4449) q[2], q[5];
cry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(-1.5709) 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... |
3fa23bf7f5997a6a9414c1a1e69c52c7 | 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": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 5}, {"source": 2, "target": 5}, ... | {"states": [807, 1831], "expectation_value": -1.64959368813552, "params": [[[0.2654, 0.1173], [0.6024, 0.1484], [0.6055, 0.3886], [0.1902, 0.29560000000000003], [-0.0135, 0.0757], [0.6003000000000001, 0.195], [0.15410000000000001, 0.4197], [0.1773, 0.5783], [0.5895, 0.3766], [0.5874, 0.3403], [0.5988, 0.5938]], [[0.590... | 0.125 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(1) @ Z(2)) + -0.125 * (Z(0) @ Z(1) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + 0.125 * (Z(0) @ Z(1) @ Z(2) @ Z(3)) + 0.5 * (Z(0... | 15 | 11 | 4 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 23, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011100", ... | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(0.2654) q[0];
ry(0.6024) q[1];
ry(0.6055) q[2];
ry(0.1902) q[3];
ry(-0.0135) q[4];
ry(0.6003) q[5];
ry(0.1541) q[6];
ry(0.1773) q[7];
ry(0.5895) q[8];
ry(0.5874) q[9];
ry(0.5988) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q[6]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
f222dfb2324275edf5e9240be57dcb14 | 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": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 5}, {"source": 3, "target": 5}, ... | {"states": [102, 116], "expectation_value": -4.999883694157715, "params": null, "bitstrings": ["0011001", "0001011"], "total_optimization_steps": 29, "probabilities": [1.634929288736166e-05, 0.9999151802076248], "optimization_time": 21.92006230354309} | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(6)) + -1.5 * Z(3) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(6) + -0.5 * Z(2) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001011"]} | 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[6];
ry(-1.4449) q[5];
ry(1.4449) q[0];
ry(1.4449) q[4];
ry(1.4417) q[2];
ry(1.4417) q[1];
cry(-0.1259) q[2], q[5];
cry(0.1217) q[0], q[1];
cry(0.1216) q[1], q[2];
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", ... |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [1, 5], "expectation_value": -12.581213565944424, "params": [[[-0.003, 0.5304], [-0.006500000000000001, 0.5743], [-0.004, 0.649], [0.49470000000000003, 0.0027], [-0.0007, 0.6679], [0.7854, 0.0039000000000000003]], [[-0.0015, 0.49350000000000005], [0.0009000000000000001, 0.6561], [-0.0004, 0.5912000000000001]... | -0.25 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(2) @ Z(0)) + -2.5 * (Z(4) @ Z(1)) + -1.25 * (Z(4) @ Z(0)) + -0.5 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + -0.75 * (Z(3) @ Z(1)) + -0.75 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(5)) + 0.25 * Z(1) + -0.25 * Z(0) + -2.0 * Z(2) + -0.5 * Z(4) + 1.0 * Z(5) + 1.5 * Z(3) | 1 | 6 | 4 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["111010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(-0.003) q[0];
rz(0.5304) q[0];
rx(-0.0065) q[1];
rz(0.5743) q[1];
rx(-0.004) q[2];
rz(0.649) q[2];
rx(0.4947) q[3];
rz(0.0027) q[3];
rx(-0.0007) q[4];
rz(0.6679) q[4];
rx(0.7854) q[5];
rz(0.0039) q[5];
rx(-0.0015) q[0];
rz(0.4935) q[0];
rx(0.0009) q[1];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-5657510331550772443 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 2, 7], [0, 3, 5], [0, 1], [5, 6, 7], [3, 4, 6], [2, 3], [2, 4], [0, 5, 7], [2, 6, 7]]} | {"states": [157, 93], "expectation_value": -3.0452931873024345, "params": null, "bitstrings": ["01100010", "10100010"], "total_optimization_steps": 47, "probabilities": [0.041157564034394606, 0.8912209959857698], "optimization_time": 69.78907871246338} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(0) @ Z(7)) + 0.5 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(0)) + 0.3333333333333333 * (Z(5) @ Z(7)) + 0.3333333333333333 * (Z(5) @ Z(0)) + 0.16666666666... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666656], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.8333333333333344, "smallest_bitstrings": ["10100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5298) q[7];
ry(1.2292) q[3];
cry(-1.4326) q[3], q[2];
ry(1.4371) q[4];
cry(-1.0205) q[1], q[0];
ry(0.9617) q[1];
cry(-0.6549) q[7], q[0];
cry(1.1276) q[1], q[5];
cry(0.3754) q[7], q[1];
cry(-... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5298) 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[... |
a5a32c53707adac7f9e2e89e005d6cef | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 3, "target": 4}, {"source": 5, "target": 6}, {"source": 5, "target":... | {"states": [0, 415], "expectation_value": -8.082514869580706, "params": [-0.6307, 0.8616, 0.10020000000000001, 1.3073000000000001, -0.6372, 0.9059, -0.2654, 1.2514, 0.6857000000000001, 0.3937, -0.2346, 0.9881000000000001, 0.7677, 0.7415, -0.22740000000000002, 0.7477, 0.7646000000000001, 1.1892, -0.07050000000000001, 1.... | -1.0 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(3)) + -2.0 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -1.5 * (Z(7) @ Z(4)) + -2.0 * (Z(8) @ Z(5)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -1.5 * (Z(6) @ Z(8)) + 0.5 * Z(1) + 0.5 * Z(0) + 1.0 * Z(3) + -1.0 * Z(2) + 0.5 * Z(5) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(8) + 0.5 * Z(6) | 6 | 9 | 2 | {"smallest_eigenvalues": [-11.5, -11.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -10.5, "smallest_bitstrings": ["000000000", "001100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.6307) q[0];
rz(0.8616) q[0];
rx(-0.6372) q[1];
rz(0.9059) q[1];
rx(0.6857) q[2];
rz(0.3937) q[2];
rx(0.7677) q[3];
rz(0.7415) q[3];
rx(0.7646) q[4];
rz(1.1892) q[4];
rx(0.7424) q[5];
rz(0.8306) q[5];
rx(0.7467) q[6];
rz(0.8346) q[6];
rx(0.7687) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 2} | {"circuits": [], "gradients": []} |
0cd8bae9f3ba09d5e5d6ac36ba1aa2d4 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 2, "source": 0, "target": 6}, {"capacity": 1, "s... | {"states": [1, 65], "expectation_value": -0.3426190779745214, "params": [[-0.0714], [0.0781]], "bitstrings": ["111111110", "110111110"], "total_optimization_steps": 10, "probabilities": [0.002620055530081055, 0.002620226535753029], "optimization_time": 2.5904765129089355} | -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 | 1 | {"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];
cx q[1], q[0];
rz(0.0714) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0714) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0714) q[5];
cx q[0], q[5];
cx q[0], q[6];
rz(0.0714) q[6];
cx q[0], q[6];
... | 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
eb3b527956c7d7a4c5afd29a566d8a47 | connected_components | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4},... | {"states": [1662, 1663], "expectation_value": -21.306618795060732, "params": null, "bitstrings": ["00110000001", "00110000000"], "total_optimization_steps": 100, "probabilities": [0.06867416366910235, 0.25958030726441905], "optimization_time": 226.05585050582886} | -3.5 * (Z(0) @ Z(1)) + -2.5 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -2.5 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -2.5 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + -3.0 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 1.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + 1.0 * (Z(7) @ Z(4)) + 1.0 * (Z(7) @ Z(5)) + 0.5 ... | 5 | 11 | 1 | {"smallest_eigenvalues": [-39.0, -39.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -38.0, "smallest_bitstrings": ["00110000011", "00110000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
cry(1.5708) q[7], q[0];
ry(1.0079) q[7];
cry(1.5708) q[8], q[5];
cry(1.4149) q[5], q[4];
cry(0.1596) q[5], q[1];
cry(0.0551) q[4], q[1];
ry(-0.3266) q[8];
cry(0.0811) q[... | null | {"node": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[11] c;\nqubit[11] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\nh q[10];\ncry(1.5708) q[7], 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[... |
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": [23419, 23411], "expectation_value": -7.359728508155424, "params": [1.0921, 0.3123, 0.6618, 0.5781000000000001, 1.0718, 0.22360000000000002, 1.0719, 0.0364, 0.5412, 0.47740000000000005, 1.0410000000000001, 0.2414, 1.1071, -0.032600000000000004, 0.42700000000000005, 0.5831000000000001, 1.1135000000000002, 0.2... | 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)) ... | 16 | 15 | 3 | {"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(1.0921) q[0];
rz(0.3123) q[0];
rx(0.6618) q[1];
rz(0.5781) q[1];
rx(1.0718) q[2];
rz(0.2236) q[2];
rx(1.0719) q[3];
rz(0.0364) q[3];
rx(0.5412) q[4];
rz(0.4774) q[4];
rx(1.041) q[5];
rz(0.2414) q[5];
rx(1.1071) q[6];
rz(-0.0326) q[6];
rx(0.427) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
c207a7b4cd3f0efb0fa44764eec6604a | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 3, "source": 0, "target": 2}, {"capacity": 6, "source": 2, "target": 1}, {"capacity": 5, "source": 2, "target": 4}, {"capacity": 5, "so... | {"states": [6631, 6615], "expectation_value": -44.825794417193066, "params": [1.0435, -0.0356, 1.0443, 0.0002, -0.0021000000000000003, 0.9809, -0.0001, 1.3914, 1.0451000000000001, -0.0029000000000000002, 1.0456, 0.0037, 1.0532000000000001, -0.025400000000000002, 0.8738, 0.8113, 0.8985000000000001, 0.13440000000000002, ... | 0.5 * (Z(0) @ Z(4)) + 2.0 * (Z(5) @ Z(4)) + 1.0 * (Z(5) @ Z(0)) + 3.0 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 6.0 * (Z(6) @ Z(5)) + 1.0 * (Z(1) @ Z(4)) + 0.8333333333333334 * (Z(1) @ Z(0)) + 2.0 * (Z(1) @ Z(5)) + 3.0 * (Z(1) @ Z(6)) + -0.5 * (Z(2) @ Z(4)) + -1.0 * (Z(2) @ Z(5)) + -1.5 * (Z(2) @ Z(6)) + -0.5 * (Z(10) @ ... | 18 | 13 | 3 | {"smallest_eigenvalues": [-45.33333333333333, -45.33333333333333], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -44.5, "smallest_bitstrings": ["0011000101000", "0011000110000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[13] c;
qubit[13] q;
rx(1.0435) q[0];
rz(-0.0356) q[0];
rx(1.0443) q[1];
rz(0.0002) q[1];
rx(-0.0021) q[2];
rz(0.9809) q[2];
rx(-0.0001) q[3];
rz(1.3914) q[3];
rx(1.0451) q[4];
rz(-0.0029) q[4];
rx(1.0456) q[5];
rz(0.0037) q[5];
rx(1.0532) q[6];
rz(-0.0254) q[6];
rx(0.8738) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x11;
input float[64] x12;
input float[64] x13;
inpu... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
cba3c0f3028bedd24c97c562399fe60f | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [56, 7], "expectation_value": -7.496156880761796, "params": [[-0.050100000000000006, -0.0346, -0.0199], [0.0712, 0.0734, 0.0732]], "bitstrings": ["1000111", "1111000"], "total_optimization_steps": 10, "probabilities": [0.020259819045115972, 0.022827983063143157], "optimization_time": 6.851643085479736} | 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)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.25 ... | 16 | 7 | 3 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.2255) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2255) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2255) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2255) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] 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... | {"k": 4} | {"circuits": [], "gradients": []} |
a748f2da2700c98e3b57fef1b29c5a5b | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [1023, 511], "expectation_value": -1.2072048494564416, "params": [[0.0732], [-0.0712]], "bitstrings": ["0000000000", "1000000000"], "total_optimization_steps": 10, "probabilities": [0.001746673629381885, 0.001783329061529271], "optimization_time": 2.1886935234069824} | -2.0 * (Z(1) @ Z(2)) + -2.0 * (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)) + -1.5 * (Z(5) @ Z(7)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * (Z(6) @ Z(5)) + -1.0 * (Z(8) @ Z(9)) + 0.5 * Z(2) + 0.5 * Z(1) + 0.5 * Z(3) + 0.5 * Z(4) + 0.5 * Z(7) + 0.5 * Z(5) + 0.5 * Z(6) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-20.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.5, "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];
cx q[2], q[1];
rz(-0.2928) q[1];
cx q[2], q[1];
cx q[2], q[3];
rz(-0.2928) q[3];
cx q[2], q[3];
cx q[1], q[3];
rz(-0.2928) q[3];
cx q[1], q[3];
cx q[2], q[4];
rz(-0.2928) q[4];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[2], q[1];
rz(x0) q[1];
cx q[2], q[1];
cx q[2], q[3];
... | {"node": 1} | {"circuits": [], "gradients": []} |
-4140279770655496618 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4], "hyperedges": [[3, 4], [0, 4], [1, 2], [0, 2], [0, 1]]} | {"states": [22, 26], "expectation_value": -0.05220668141463285, "params": [[0.06910000000000001], [-0.07730000000000001]], "bitstrings": ["01001", "00101"], "total_optimization_steps": 10, "probabilities": [0.03324402075891379, 0.03324402075891379], "optimization_time": 0.3765227794647217} | 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(1) + 0.0 * Z(2) | 1 | 5 | 1 | {"smallest_eigenvalues": [-1.5, -1.5, -1.5, -1.5, -1.5, -1.5], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -0.5, "smallest_bitstrings": ["00101", "01001", "11010", "01101", "10110", "10010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(0.0691) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(0.0691) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(0.0691) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(0.0691) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(0.0691) q[2];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[4], q[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[0];
rz(x0) q[0];
cx q[4], q[0];
cx q[0], q[1];
rz(x0) q[1];
cx q[0], q[1];
cx q[0], q[2];
rz(x0) q[2];
cx ... | null | {"circuits": [], "gradients": []} |
e4c65d82be0d39aa5a43dd21b25413c9 | 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": 5}, {"source": 2, "target": 3}, {"source": ... | {"states": [178, 179], "expectation_value": -2.6460279243791547, "params": [3.1387, 0.0089, 0.0024000000000000002, 0.0039000000000000003, 3.1388000000000003, 0.0011, 3.1436, 0.0013000000000000002, 0.0025, 0.0032, -0.019200000000000002, 0.008, 3.1445000000000003, 0.003, 1.6133000000000002, 0.0035, 0.0074, 0.0056, 0.002,... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(5) @ Z(0)) + 0.125 * (Z(0) @ Z(6)) + 0.125 * (Z(5) @ Z(3)) + 0.125 * (Z(6) @ Z(3)) + 0.125 * (Z(5) @ Z(6)) + -0.125 * (Z(5) @ Z(0) @ Z(3)) + -0.125 * (Z(0) @ Z(3) ... | 18 | 8 | 1 | {"smallest_eigenvalues": [-3.125, -3.125], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.125, "smallest_bitstrings": ["01001100", "01010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(3.1387) q[0];
rz(0.0089) q[0];
rx(0.0024) q[1];
rz(0.0039) q[1];
rx(3.1388) q[2];
rz(0.0011) q[2];
rx(3.1436) q[3];
rz(0.0013) q[3];
rx(0.0025) q[4];
rz(0.0032) q[4];
rx(-0.0192) q[5];
rz(0.008) q[5];
rx(3.1445) q[6];
rz(0.003) q[6];
rx(1.6133) q[7];
rz(0.0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [13, 9], "expectation_value": -0.02981414360817336, "params": [[0.0368, 0.0126, -0.0466], [-0.0346, -0.0362, 0.0188]], "bitstrings": ["10010", "10110"], "total_optimization_steps": 10, "probabilities": [0.03255781503257066, 0.032581553083137114], "optimization_time": 4.167163848876953} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(4)) + 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(3) @ Z(1)) + 0.125 * (Z(1) @ Z(4)) + 0.125 * (Z(3) @ Z(2)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + -0.125 * (Z(3) @ Z(1) @ Z(2)) + -0.125 * (Z(1) @ Z(4) @ Z(2)) + -0.125 * (Z(3) @ Z(1) @ Z(4)) + -0.125 * (Z(3) @ Z(4) @ Z(2)) + 0.12... | 1 | 5 | 3 | {"smallest_eigenvalues": [-2.625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.625, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
cx q[1], q[0];
rz(0.0368) q[0];
cx q[1], q[0];
cx q[4], q[0];
rz(0.0368) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(0.0092) q[1];
cx q[2], q[1];
cx q[1], q[3];
rz(0.0092) q[3];
cx q[1], q[3];
cx q[4], q[1];
rz(0.0092) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64... | null | {"circuits": [], "gradients": []} |
b6acc179a4a15da3d535b4a626064489 | 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": 5}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 4... | {"states": [63, 61], "expectation_value": -3.2341748281934777, "params": [[0.07400000000000001, 0.0779, 0.06910000000000001, 0.0594], [-0.0709, -0.08030000000000001, -0.0697, -0.0587]], "bitstrings": ["1000000", "1000010"], "total_optimization_steps": 10, "probabilities": [0.029746464914916698, 0.03780543315062879], "o... | -0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -1.0 * (Z(2) @ Z(1)) + -0.25 * (Z(4) @ Z(5)) + -0.75 * (Z(4) @ Z(2)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(4)) + -0.25 * (Z(3) @ Z(1)) + -1.25 * (Z(3) @ Z(4)) + -1.5 * (Z(3) @ Z(6)) + -0.75 * Z(5) + -0.25 * Z(0) + 1.25 * Z(1) + 1.0 * Z(2) + -0.25... | 1 | 7 | 4 | {"smallest_eigenvalues": [-9.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["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(-0.074) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(-0.074) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(-0.148) q[2];
cx q[1], q[2];
cx q[5], q[4];
rz(-0.037) q[4];
cx q[5], q[4];
cx q[2], q[4];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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": []} |
da1b1c85f8e653b867f6f4bdba638afa | 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": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [33, 7], "expectation_value": -2.9953329500323838, "params": [[-0.2777], [0.2753]], "bitstrings": ["1011110", "1111000"], "total_optimization_steps": 30, "probabilities": [0.027964571523190405, 0.028104697786183696], "optimization_time": 1.8457980155944824} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + -2.0 * Z(1) + -1.5 * Z(0) + -1.5 * Z(2) + -2.0 * Z(3) + ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.5, "smallest_bitstrings": ["0111001", "1101001", "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(-0.2777) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2777) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2777) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.2777) q[3];
cx q[1], q[3];
cx q[0], q[3... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(x0)... | null | {"circuits": [], "gradients": []} |
607dfe672a9c089714e83d20227118f4 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [73, 104], "expectation_value": -4.996397370675801, "params": null, "bitstrings": ["0110110", "0010111"], "total_optimization_steps": 26, "probabilities": [0.06635256082958879, 0.9303255897208923], "optimization_time": 29.967185497283936} | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + -2.0 * Z(2) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.5 * Z(4) + -1.0 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["0010111", "0110110", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[2];
ry(-1.5681) q[4];
ry(-1.4449) q[5];
ry(1.4417) q[3];
ry(1.4417) q[0];
cry(-1.0343) q[1], q[6];
ry(0.7003) q[1];
cry(-0.1259) q[3], q[5];
ry(-0.4549) q[6];
cry(0.4962) q[0], q[1];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
e98b53e0167756e0364419ca81191dd8 | 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": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 4}, ... | {"states": [96, 120], "expectation_value": -4.999934068931291, "params": null, "bitstrings": ["0011111", "0000111"], "total_optimization_steps": 33, "probabilities": [1.383465500065299e-05, 0.9999481801794438], "optimization_time": 24.891334772109985} | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.0 * Z(5) + -1.0 * Z(1) + -1.0 * Z(6) + -0.5 * Z(2) + -0.5 * Z(3) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5681) q[4];
ry(-1.5681) q[5];
ry(-1.5681) q[6];
ry(1.4449) q[3];
ry(1.4449) q[2];
ry(1.4449) q[0];
ry(1.4449) q[1];
cry(0.1187) q[2], q[3];
cry(0.1188) q[3], q[0];
cry(0.1188) q[0], q[1];
cry(0.1186... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5681) q[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", ... |
1c79f0f3ab411f52384b2206b6163064 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": ... | {"states": [0, 1020], "expectation_value": -13.841771498671891, "params": [[-0.068], [0.18050000000000002]], "bitstrings": ["1111111111", "0000000011"], "total_optimization_steps": 20, "probabilities": [0.006841717656917849, 0.007150212933168103], "optimization_time": 1.4121832847595215} | -4.0 * (Z(0) @ Z(1)) + 1.5 * (Z(3) @ Z(1)) + -3.0 * (Z(3) @ Z(0)) + 2.0 * (Z(4) @ Z(1)) + -3.5 * (Z(4) @ Z(0)) + -3.0 * (Z(4) @ Z(3)) + -4.0 * (Z(5) @ Z(1)) + -3.5 * (Z(5) @ Z(0)) + -3.5 * (Z(5) @ Z(3)) + -3.5 * (Z(5) @ Z(4)) + -4.0 * (Z(7) @ Z(1)) + -3.5 * (Z(7) @ Z(0)) + -3.5 * (Z(7) @ Z(3)) + -3.5 * (Z(7) @ Z(4)) + ... | 1 | 10 | 1 | {"smallest_eigenvalues": [-61.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["0000000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
cx q[1], q[0];
rz(0.544) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.204) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.408) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(-0.272) q[4];
cx q[1]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[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]... | {"node": 10} | {"circuits": [], "gradients": []} |
2d427a1b11a2ac0cd77be7e19f4886a5 | min_cut | qaoa | {"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": 3, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 3, "source": 2, "target": 1}, {"capaci... | {"states": [32, 31], "expectation_value": -0.20490931736604578, "params": [[-0.0539], [0.0637]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.017891765650357046, 0.01809304541801903], "optimization_time": 1.1860930919647217} | 0.25 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.75 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(4)) + -1.0 * (Z(3) @ Z(2)) + -0.25 * Z(5) + -0.25 * Z(0) + 0.25 * Z(1) + -0.75 * Z(4) + -0.25 * Z(2) + 1.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-6.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -5.0, "smallest_bitstrings": ["100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(-0.027) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0539) q[1];
cx q[5], q[1];
cx q[1], q[4];
rz(0.0809) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.0809) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.027)... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[5], q[0];
rz(x0) q[0];
cx q[5], q[0];
cx q[5], ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
-2315846002195225025 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 5], [1, 3], [2, 5], [8, 9], [8, 3], [3, 6], [0, 3], [4, 6], [0, 7]]} | {"states": [795, 794], "expectation_value": -0.8549229387070334, "params": [0.7001000000000001, -0.027600000000000003, 0.6999000000000001, 0.0048000000000000004, 0.7035, -0.0297, 0.7063, 0.0091, 0.7066, 0.1017, 0.5504, 0.0041, 0.5209, 0.10500000000000001, 0.5272, 0.0053, 0.7026, 0.08600000000000001, 0.47950000000000004... | 0.5 * (Z(9) @ Z(5)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(9)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(7) @ Z(0)) + 0.0 * Z(5) + 0.0 * Z(9) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(8) + 0.0 * Z(6) + 0.0 * Z(0) + 0.0 * Z(4) + 0.0 *... | 6 | 10 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["1100011010", "0011100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.7001) q[0];
rz(-0.0276) q[0];
rx(0.7035) q[1];
rz(-0.0297) q[1];
rx(0.7066) q[2];
rz(0.1017) q[2];
rx(0.5209) q[3];
rz(0.105) q[3];
rx(0.7026) q[4];
rz(0.086) q[4];
rx(0.709) q[5];
rz(-0.0469) q[5];
rx(0.7022) q[6];
rz(-0.046) q[6];
rx(0.7104) 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": []} |
-8536726310325090405 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 2, 4], [0, 2, 3, 5], [0, 4], [1, 3, 5]]} | {"states": [60, 57], "expectation_value": -1.34091316176903, "params": null, "bitstrings": ["000011", "000110"], "total_optimization_steps": 31, "probabilities": [0.07996505016298132, 0.7683888453984267], "optimization_time": 28.65952444076538} | 0.16666666666666666 * (Z(1) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(2)) + 0.16666666666666666 * (Z(4) @ Z(1)) + 0.08333333333333333 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(3) @ Z(2)) + 0.16666666666666666 * (Z(3) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.4166666666666665, -1.4166666666666665, -1.4166666666666665], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0000000000000004, "smallest_bitstrings": ["110000", "000110", "000011"]} | 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(1.2292) q[1];
cry(-1.0207) q[0], q[4];
ry(0.912) q[0];
ry(-0.6201) q[4];
cry(0.4564) q[1], q[0];
ry(0.8641) q[2];
cry(-0.3472) q[1], q[4];
cry(0.4501) q[0], q[2];
cry(-0.6253) q[5], q[3];
cry(0.2815) q[2], q[1... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nry(1.2292) q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
cde6b48ed870286595c1455af7aff8bd | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 2, "target": 3}]} | {"states": [4, 0], "expectation_value": -0.14843555433080782, "params": [[0.07640000000000001, 0.0702], [-0.0854, -0.07680000000000001]], "bitstrings": ["011", "111"], "total_optimization_steps": 10, "probabilities": [0.1300517912176753, 0.1384721969866893], "optimization_time": 1.3877627849578857} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(2) @ Z(0)) + 0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(0) @ Z(1)) + -0.75 * Z(0) + -0.75 * Z(1) + -0.75 * Z(2) | 1 | 3 | 2 | {"smallest_eigenvalues": [-1.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -0.75, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(0.0382) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.0382) q[2];
cx q[0], q[2];
cx q[1], q[2];
rz(0.0382) q[2];
cx q[1], q[2];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0382) q[2];
cx q[0], q[2];
cx q[1], q[0];
rz(-0.1146) q[0];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(x0) q[2];
cx q[... | null | {"circuits": [], "gradients": []} |
745981759894492285 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[3, 4, 5], [1, 3, 6], [3, 7], [2, 5, 7], [5, 6, 7], [0, 6]]} | {"states": [205, 54], "expectation_value": -0.043785748677296066, "params": [[-0.0621], [0.0733]], "bitstrings": ["00110010", "11001001"], "total_optimization_steps": 10, "probabilities": [0.004169882522932811, 0.004194038355322087], "optimization_time": 2.2265732288360596} | 0.16666666666666666 * (Z(3) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(4)) + 0.16666666666666666 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.3333333333333333 * (Z(7) @ Z(5... | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.3333333333333335], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.0000000000000004, "smallest_bitstrings": ["11001001"]} | 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[3];
rz(-0.0207) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(-0.0207) q[5];
cx q[4], q[5];
cx q[3], q[5];
rz(-0.0207) q[5];
cx q[3], q[5];
cx q[3], q[1];
rz(-0.0207) q[1];
cx q[3], q[1];
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;
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[3];
rz(x0) q[3];
cx q[4], q[3];
cx q[4], q[5];
rz(x0) q[5];
cx q[4], q[5];
cx q[3], q... | null | {"circuits": [], "gradients": []} |
-2420673937675659385 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2, 3, 4, 5, 7], [1, 3, 4, 5, 7, 8], [0, 1, 2, 3, 4, 5, 8], [0, 2, 3, 6, 8], [0, 1, 2, 3, 4, 7, 8], [0, 3, 4, 5, 6, 7, 8]]} | {"states": [463, 347], "expectation_value": -0.5795155334299992, "params": [[-0.36110000000000003], [0.3714]], "bitstrings": ["000110000", "010100100"], "total_optimization_steps": 40, "probabilities": [0.0035481711857068246, 0.0035846276099593703], "optimization_time": 4.785508632659912} | 0.07142857142857142 * (Z(0) @ Z(1)) + 0.07142857142857142 * (Z(2) @ Z(1)) + 0.12142857142857143 * (Z(2) @ Z(0)) + 0.10476190476190475 * (Z(3) @ Z(1)) + 0.14523809523809522 * (Z(3) @ Z(0)) + 0.12142857142857143 * (Z(3) @ Z(2)) + 0.10476190476190475 * (Z(4) @ Z(1)) + 0.09523809523809523 * (Z(4) @ Z(0)) + 0.07142857142857... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.161904761904762], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.1619047619047618, "smallest_bitstrings": ["010100100"]} | 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(-0.0516) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0516) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0877) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0757) 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[... | null | {"circuits": [], "gradients": []} |
1255058835107117913 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[4, 7], [0, 2], [1, 6], [3, 5]]} | {"states": [209, 216], "expectation_value": -0.03141358872810557, "params": [[0.0635], [-0.0625]], "bitstrings": ["00101110", "00100111"], "total_optimization_steps": 10, "probabilities": [0.004157511555982623, 0.004157511555982623], "optimization_time": 0.4604158401489258} | 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(5)) + 0.0 * Z(7) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(0) + 0.0 * Z(6) + 0.0 * Z(1) + 0.0 * Z(5) + 0.0 * Z(3) | 1 | 8 | 1 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 16, "first_excited_energy": -1.0, "smallest_bitstrings": ["10000111", "11000101", "11010001", "00111010", "11011000", "01100101", "00110011", "01101100", "01110001... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(0.0635) q[4];
cx q[7], q[4];
cx q[2], q[0];
rz(0.0635) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(0.0635) q[1];
cx q[6], q[1];
cx q[5], q[3];
rz(0.0635) q[3];
cx q[5], q[3];
rz(0) q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[7], q[4];
rz(x0) q[4];
cx q[7], q[4];
cx q[2], q[0];
rz(x0) q[0];
cx q[2], q[0];
cx q[6], q[1];
rz(x0) q[1];
cx q[6], q[1];
cx q[5]... | null | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [34, 50], "expectation_value": -3.0512812562889513, "params": [0.5023, -0.0018000000000000002, 0.4621, -0.0007, 0.037200000000000004, 0.31920000000000004, 0.0367, 0.3058, 0.5021, 0.1626, 0.0028, 0.2426, 0.49920000000000003, -0.0011, 0.46890000000000004, 0.007500000000000001, 0.030100000000000002, 0.318700000... | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(5) + 0.0 * Z(0) + -1.0 * Z(1) + -1.0 * Z(2) + -1.0 * Z(3) + -0.5 * Z(4) | 3 | 6 | 4 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["001101", "010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.5023) q[0];
rz(-0.0018) q[0];
rx(0.4621) q[1];
rz(-0.0007) q[1];
rx(0.0372) q[2];
rz(0.3192) q[2];
rx(0.0367) q[3];
rz(0.3058) q[3];
rx(0.5021) q[4];
rz(0.1626) q[4];
rx(0.0028) q[5];
rz(0.2426) q[5];
crz(-0.2345) q[5], q[4];
crz(0.3139) q[4], q[3];
crz(-... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2353079fa286d356ce3844ef645b5899 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 7}, {"capacity": 1, "source": 2, ... | {"states": [127, 1], "expectation_value": -1.394835401295747, "params": [[-0.038, -0.0509, -0.0563, -0.0723], [0.0233, 0.0555, 0.0579, 0.0689]], "bitstrings": ["10000000", "11111110"], "total_optimization_steps": 10, "probabilities": [0.010764032754836943, 0.011080391533421627], "optimization_time": 7.030783414840698} | -0.5 * (Z(0) @ Z(4)) + -0.5 * (Z(1) @ Z(2)) + 0.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(1)) + -0.25 * (Z(6) @ Z(4)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(6) @ Z(1)) + -0.25 * (Z(6) @ Z(7)) + -0.5 * (Z(3) @ Z(4)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.75 * (Z(5) @ Z(4)) + -0.5 * (Z(5) @ Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.75, "smallest_bitstrings": ["11111110", "10001000", "10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[4], q[0];
rz(0.038) q[0];
cx q[4], q[0];
cx q[2], q[1];
rz(0.038) q[1];
cx q[2], q[1];
cx q[0], q[7];
rz(-0.057) q[7];
cx q[0], q[7];
cx q[1], q[7];
rz(0.019) q[7];
cx q[1], q[7];
cx q[4], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 7} | {"circuits": [], "gradients": []} |
3d9533956931a54aca3d2a9ec3cfbbbc | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"sour... | {"states": [69, 85], "expectation_value": -5.296810621255694, "params": [0.0795, 0.0847, -0.0196, -0.0204, 0.30670000000000003, 0.3084, 0.0013000000000000002, 0.0024000000000000002, 0.2783, 0.2716, 0.0024000000000000002, -0.0006000000000000001, 0.2963, 0.30060000000000003, 0.0036000000000000003, 0.012100000000000001, 0... | 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(3) @ Z(1)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(8) ... | 13 | 9 | 3 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["100101110", "110101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0795) q[0];
ry(-0.0196) q[1];
ry(0.3067) q[2];
ry(0.0013) q[3];
ry(0.2783) q[4];
ry(0.0024) q[5];
ry(0.2963) q[6];
ry(0.0036) q[7];
ry(0.2942) q[8];
crz(-0.0229) q[8], q[0];
crz(0.151) q[7], q[8];
crz(0.0043) q[6], q[7];
crz(-0.1781) q[5], q[6];
crz(-0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5352a77ee8029c0a1cc2f13dec084536 | 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": 4}, {"source": 4, "target": 5}, {"source": 6, "target": 7}, {"sour... | {"states": [0, 252], "expectation_value": -5.385654500780065, "params": [-0.1642, 0.1726, 0.6809000000000001, 0.0058000000000000005, -0.8136, 0.21450000000000002, 0.6616000000000001, 0.0036000000000000003, -0.9021, 0.5914, 0.5165000000000001, 0.005200000000000001, 0.8846, 0.865, 0.4137, 0.0019, 0.9232, 0.96920000000000... | -1.5 * (Z(0) @ Z(1)) + -1.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(6) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0.5 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) + 0.5 * Z(5) + 1.0 * Z(7) + -1.0 * Z(6) | 6 | 8 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -8.5, "smallest_bitstrings": ["00000011", "00000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.1642) q[0];
rz(0.1726) q[0];
rx(-0.8136) q[1];
rz(0.2145) q[1];
rx(-0.9021) q[2];
rz(0.5914) q[2];
rx(0.8846) q[3];
rz(0.865) q[3];
rx(0.9232) q[4];
rz(0.9692) q[4];
rx(0.9549) q[5];
rz(1.1829) q[5];
rx(-0.0012) q[6];
rz(1.813) q[6];
rx(1.2029) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 7} | {"circuits": [], "gradients": []} |
cee21d2c524e6fc138e70d6d9e27345e | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 4, "source": 1, "target": 2}, {"capacity": 6, "source": 2, "target": 4}, {"capacity": 2, "source": 3, "target": 2}]} | {"states": [255, 239], "expectation_value": -13.044822041434337, "params": [[[-0.3713, 1.1573], [-0.0022, 1.5777], [-0.0023, -0.0017000000000000001], [-0.0029000000000000002, -0.0028], [-1.657, 0.003], [0.0015, 0.0026000000000000003], [-0.0022, -0.0029000000000000002], [-0.003, 1.5684], [-0.4922, -1.0029000000000001]],... | 2.0 * (Z(1) @ Z(2)) + 2.0 * (Z(3) @ Z(2)) + 1.0 * (Z(3) @ Z(1)) + 1.0 * (Z(0) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 1.0 * (Z(7) @ Z(2)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + 1.0 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(8) @ Z(3)) + 0.5 * (Z(8) @ Z(0)) + 1.0 * (Z(8) ... | 15 | 9 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["100010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(-0.3713) q[0];
ry(-0.0022) q[1];
ry(-0.0023) q[2];
ry(-0.0029) q[3];
ry(-1.657) q[4];
ry(0.0015) q[5];
ry(-0.0022) q[6];
ry(-0.003) q[7];
ry(-0.4922) q[8];
cx q[8], q[0];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4], q[5];
cx q[3], q[4];
cx q[2], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
-3566916534196087486 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[8, 3], [0, 3, 6], [1, 3, 4], [1, 2, 4], [8, 1, 6, 7], [4, 5], [1, 2, 7], [2, 4, 6], [0, 1, 2, 5], [8, 0, 4], [0, 1, 7], [0, 2, 3, 7], [5, 6], [0, 3, 5, 7], [2, 3, 6]]} | {"states": [343, 438], "expectation_value": -2.2353015014678705, "params": [[0.4559], [-0.3594]], "bitstrings": ["010101000", "001001001"], "total_optimization_steps": 60, "probabilities": [0.016374834447563075, 0.01657372720044464], "optimization_time": 3.305306911468506} | 0.5 * (Z(8) @ Z(3)) + 0.3333333333333333 * (Z(0) @ Z(3)) + 0.16666666666666666 * (Z(0) @ Z(8)) + 0.3333333333333333 * (Z(6) @ Z(3)) + 0.08333333333333333 * (Z(6) @ Z(8)) + 0.16666666666666666 * (Z(6) @ Z(0)) + 0.16666666666666666 * (Z(1) @ Z(3)) + 0.08333333333333333 * (Z(1) @ Z(8)) + 0.25 * (Z(1) @ Z(0)) + 0.083333333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-4.083333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.999999999999999, "smallest_bitstrings": ["001001001"]} | 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[8];
rz(0.4559) q[8];
cx q[3], q[8];
cx q[3], q[0];
rz(0.3039) q[0];
cx q[3], q[0];
cx q[8], q[0];
rz(0.152) q[0];
cx q[8], q[0];
cx q[3], q[6];
rz(0.3039) q[6];
cx q[3], q[6];
c... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] 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": []} |
c74167a186ef9c06e73f7bbbf8de6ec0 | vertex_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, ... | {"states": [71, 85], "expectation_value": -4.999898991220705, "params": null, "bitstrings": ["0111000", "0101010"], "total_optimization_steps": 33, "probabilities": [1.6350061373198083e-05, 0.9999303724215757], "optimization_time": 23.231462240219116} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + -1.5 * Z(1) + -1.0 * Z(0) + -1.5 * Z(3) + -0.5 * Z(5) + -1.0 * Z(2) + 0.0 * Z(6) + 0.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["0101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[3];
ry(-1.5681) q[1];
ry(-1.4449) q[5];
ry(1.4449) q[4];
ry(1.4449) q[6];
ry(1.4417) q[2];
ry(1.4417) q[0];
cry(-0.1259) q[2], q[5];
cry(0.1217) q[6], q[0];
cry(0.1216) q[0], q[2];
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", ... |
b63683304276bb9759c183d77afbd99f | 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}, {"id": 9}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 9}, {"capacity": 3, "source": 1, "target": 7}, {"capac... | {"states": [339, 343], "expectation_value": -9.499631784386194, "params": null, "bitstrings": ["1010101100", "1010101000"], "total_optimization_steps": 71, "probabilities": [0.00012382437429920152, 0.9997534146404283], "optimization_time": 127.46450304985046} | -0.5 * (Z(0) @ Z(2)) + 0.75 * (Z(9) @ Z(0)) + -0.75 * (Z(7) @ Z(2)) + -0.75 * (Z(1) @ Z(7)) + -0.5 * (Z(6) @ Z(2)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(6)) + -0.25 * (Z(8) @ Z(2)) + -0.75 * (Z(8) @ Z(9)) + -1.0 * (Z(8) @ Z(6)) + -0.75 * (Z(8) @ Z(3)) + -0.75 * (Z(5) @ Z(9)) + -1.0 * (Z(4) @ Z(7)) + -0.5 * (Z(4) @... | 1 | 10 | 1 | {"smallest_eigenvalues": [-9.5, -9.5, -9.5, -9.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -8.5, "smallest_bitstrings": ["1010101100", "1010101000", "1010001000", "1110101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
ry(-1.5708) q[4];
ry(1.5706) q[8];
cry(1.5708) q[8], q[3];
cry(1.5486) q[8], q[5];
cry(1.5486) q[3], q[1];
cry(1.5485) q[8], q[7];
cry(1.5486) q[5], q[9];
cry(-1.5681) q[9], q[0]... | null | {"source": 0, "sink": 9} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[10] c;\nqubit[10] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nh q[9];\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... |
b4844a241e7c75ea7eb690acd3c4c004 | graph_isomorphism | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 1, "target": 2}]} | {"states": [413, 245], "expectation_value": -0.6940259049967612, "params": [[0.057100000000000005, 0.053200000000000004, -0.029900000000000003], [-0.0545, -0.0505, -0.0216]], "bitstrings": ["001100010", "100001010"], "total_optimization_steps": 10, "probabilities": [0.0027816311694758714, 0.0027816311694758736], "optim... | 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(1) @ Z(0)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(3)) + 0.5 * (Z(6) @ Z(8)) + 0.5 * (Z(7) ... | 1 | 9 | 3 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001100010", "100001010", "010001100", "001010100", "010100001", "100010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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[2];
rz(0.0571) q[2];
cx q[0], q[2];
cx q[0], q[1];
rz(0.0571) q[1];
cx q[0], q[1];
cx q[2], q[1];
rz(0.0571) q[1];
cx q[2], q[1];
cx q[2], q[5];
rz(0.0571) q[5];
cx q[2], q[5];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
cx q[0],... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 2}, {"id": 0}, {"id": 1}], "edges": [{"source": 2, "target": 0}, {"source": 2, "target": 1}, {"source": 0, "target": 1}]}} | {"circuits": [], "gradients": []} |
52d445418826abb1edfe2507a27ebafb | 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": 6, "source": 0, "target": 1}, {"weight": 17, "source": 0, "target": 6}, {"weight": 20, "source": 1, "target": 5}, {"weight": 3, "source": 2, "target": 3}, {"... | {"states": [106, 110], "expectation_value": -24.05078916037951, "params": null, "bitstrings": ["10010101", "10010001"], "total_optimization_steps": 100, "probabilities": [0.12740879726852652, 0.13759641916956722], "optimization_time": 143.09328198432922} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(6) @ Z(5)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(5)) + 8.5 * Z(1) + 3.0 * Z(0) + 14.0 * Z(2) + 9.5 * Z(4) + 5.5 * Z(3) + 11.0 * Z(5) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-58.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -49.5, "smallest_bitstrings": ["10010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(22.4081) q[2];
ry(-5.9954) q[6];
ry(-8.9441) q[4];
ry(17.7441) q[7];
ry(62.9292) q[5];
cry(-25.2651) q[6], q[2];
cry(-4.8373) q[5], q[2];
cry(-11.3979) q[6], q[4];
ry(-0.4752) q[1];
ry(0.0881) ... | null | {"matching": "near_perfect", "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(22.4081) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
6d259388045d20d69ae4242ad2e143d7 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "so... | {"states": [16, 9], "expectation_value": -4.193548698875964, "params": null, "bitstrings": ["01111", "10110"], "total_optimization_steps": 21, "probabilities": [0.07126123316379822, 0.8232615936107338], "optimization_time": 9.746084213256836} | -0.5 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(1) @ Z(3)) + 1.25 * (Z(4) @ Z(0)) + -0.75 * (Z(4) @ Z(1)) + -1.0 * Z(2) + -0.25 * Z(0) + 0.5 * Z(3) + 0.25 * Z(1) + 0.5 * Z(4) | 1 | 5 | 3 | {"smallest_eigenvalues": [-4.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.75, "smallest_bitstrings": ["10110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
ry(-1.5681) q[2];
cry(-1.5681) q[4], q[0];
ry(1.1029) q[4];
ry(-0.5495) q[0];
cry(1.5106) q[4], q[1];
cry(0.2629) q[1], q[4];
cry(-1.3566) q[4], q[3];
cry(-0.1181) q[1], q[0];
cry(-0.5445) q[0], q[1];
ry(-0.1861) q[3];
r... | null | {"source": 0, "sink": 4} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nry(-1.5681) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
532d7b9840f324faf47e567c6a0fdd6f | 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": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -18.45258660320664, "params": [-0.0018000000000000002, 2.0262000000000002, 0.002, 0.0088, 0.0016, 2.1866000000000003, -0.0011, 0.006200000000000001, -0.002, 1.8311000000000002, 0.0033, 0.0068000000000000005, 0.0016, 2.218, -0.0017000000000000001, 0.0011, 0.0017000000000000001, 2.... | -2.5 * (Z(0) @ Z(3)) + 1.0 * (Z(4) @ Z(3)) + -3.0 * (Z(4) @ Z(0)) + -3.0 * (Z(1) @ Z(3)) + 1.5 * (Z(1) @ Z(0)) + -3.0 * (Z(1) @ Z(4)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(2) @ Z(4)) + -2.5 * (Z(2) @ Z(1)) + -1.5 * (Z(5) @ Z(6)) + 0.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -1.5 * Z(3) + -2.0 * Z(0) ... | 6 | 8 | 1 | {"smallest_eigenvalues": [-20.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -17.0, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(-0.0018) q[0];
rz(2.0262) q[0];
rx(0.0016) q[1];
rz(2.1866) q[1];
rx(-0.002) q[2];
rz(1.8311) q[2];
rx(0.0016) q[3];
rz(2.218) q[3];
rx(0.0017) q[4];
rz(2.2213) q[4];
rx(-1.5787) q[5];
rz(-0.0029) q[5];
rx(-1.0091) q[6];
rz(0.0032) q[6];
rx(-1.1253) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 4} | {"circuits": [], "gradients": []} |
e9c462a1bd32b66e47c042d7665c8b8c | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [171, 250], "expectation_value": -0.002407921322453892, "params": [[0.0048000000000000004, -0.035, 0.0034000000000000002, 0.0027, 0.0015, 0.0068000000000000005, 0.10250000000000001, 0.0009000000000000001, -0.0482, 0.0012000000000000001], [0.0013000000000000002, 0.044500000000000005, 0.022500000000000003, 0.0... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(3)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(1) @ Z(5)) + 0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(1) @ 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)) ... | 9 | 10 | 2 | {"smallest_eigenvalues": [-3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125, -3.125], "number_of_smallest_eigenvalues": 20, "first_excited_energy": -2.125, "smallest_bitstrings": ["0011101000", "0011100010", "0011010100... | 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];
cz q[9], q[8];
cz q[8], q[7];
cz q[7], q[6];
cz q[6], q[5];
cz q[5], q[4];
cz q[4], q[3];
cz q[3], q[2];
cz q[2], q[1];
cz q[1], q[0];
rx(0.0048) q[0];
rx(-0.035) q[1];
rx(0.0034... | OPENQASM 3.0;
include "stdgates.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": []} |
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