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 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
c5d57071b024d109c38c43678d62eaf1 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}], "edges": [{"capacity": 5, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}]} | {"states": [60, 56], "expectation_value": -9.29999589787212, "params": null, "bitstrings": ["000011", "000111"], "total_optimization_steps": 20, "probabilities": [2.81305992022024e-07, 0.9999988346985311], "optimization_time": 9.832120180130005} | 0.9 * (Z(0) @ Z(1)) + 1.8 * (Z(2) @ Z(1)) + 0.9 * (Z(2) @ Z(0)) + -0.1 * (Z(3) @ Z(4)) + -0.2 * (Z(5) @ Z(4)) + -0.1 * (Z(5) @ Z(3)) + 4.5 * Z(1) + 2.25 * Z(0) + 4.5 * Z(2) + -0.5 * Z(4) + -0.25 * Z(3) + -0.5 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-9.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.4, "smallest_bitstrings": ["000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
ry(0.7408) q[2];
ry(1.5695) q[1];
cry(0.83) q[1], q[2];
ry(-1.4449) q[5];
ry(-1.5382) q[4];
cry(1.3988) q[1], q[0];
ry(-1.3979) q[3];
cry(-0.1252) q[2], q[5];
cry(-0.1594) q[2], q[3];
ry(0.1585) q[0];
cry(-0.0324... | null | {"source": 0, "sink": 2} | {"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(0.7408) q[2];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdgat... |
681317cce116b7c317d2d1166a0937e1 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, ... | {"states": [263, 391], "expectation_value": -1.2979118262958727, "params": [0.37770000000000004, 0.3748, 0.3981, 0.39080000000000004, 0.2939, 0.302, -0.0061, -0.0009000000000000001, 0.2833, 0.2866, 0.3184, 0.3114, 0.4912, 0.4889, 0.5008, 0.5052, 0.4934, 0.4903, 0.38470000000000004, 0.38930000000000003, 0.39330000000000... | 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(5)) + 0.25 * (Z(4) @ Z(6)) + 0.25 * (Z(5) @ Z(6)) + -0.25 * (Z(4) @ Z(5) @ Z(6)) + 0.25 * (Z(4) @ Z(0)) + 0.25 * (Z(0) @ Z(7)) + 0.25 * (Z(4) @ Z(7)) + -0.25 * (Z(4) @ Z(0) @ Z(7)) + 0.25 * (Z(5) @ Z(1))... | 14 | 9 | 2 | {"smallest_eigenvalues": [-3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25, -3.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -2.25, "smallest_bitstrings": ["100100101", "010100110", "001110001", "011110000", "001101010", "110100100", "010110100", "010110001", "1001... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.3777) q[0];
ry(0.3981) q[1];
ry(0.2939) q[2];
ry(-0.0061) q[3];
ry(0.2833) q[4];
ry(0.3184) q[5];
ry(0.4912) q[6];
ry(0.5008) q[7];
ry(0.4934) q[8];
crx(0.2309) q[8], q[0];
crx(0.4863) q[7], q[8];
crx(0.4774) q[6], q[7];
crx(-0.132) q[5], q[6];
crx(-0.013... | OPENQASM 3.0;
include "stdgates.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": []} |
304fd695de2f001ef7b80a4aece01fa6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"capacity": 1, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 2, "source": ... | {"states": [0, 256], "expectation_value": -13.767752537336735, "params": [0.0026000000000000003, -0.0015, -0.006200000000000001, -0.0033, -0.0031000000000000003, -0.0015, 0.3083, 0.29960000000000003, -0.0031000000000000003, -0.0009000000000000001, -0.0022, -0.0014, -0.0045000000000000005, -0.0029000000000000002, -0.007... | -0.25 * (Z(0) @ Z(4)) + -0.5 * (Z(6) @ Z(0)) + -0.5 * (Z(8) @ Z(0)) + -0.25 * (Z(8) @ Z(6)) + -0.25 * (Z(10) @ Z(4)) + -0.25 * (Z(10) @ Z(0)) + -0.75 * (Z(10) @ Z(6)) + -0.25 * (Z(1) @ Z(8)) + -0.75 * (Z(5) @ Z(4)) + -0.75 * (Z(5) @ Z(8)) + -0.5 * (Z(5) @ Z(10)) + -0.25 * (Z(5) @ Z(1)) + -1.0 * (Z(11) @ Z(4)) + -0.25 *... | 14 | 12 | 3 | {"smallest_eigenvalues": [-15.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -13.25, "smallest_bitstrings": ["111011111111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(0.0026) q[0];
ry(-0.0062) q[1];
ry(-0.0031) q[2];
ry(0.3083) q[3];
ry(-0.0031) q[4];
ry(-0.0022) q[5];
ry(-0.0045) q[6];
ry(-0.0075) q[7];
ry(-0.0042) q[8];
ry(-0.0045) q[9];
ry(-0.005) q[10];
ry(-0.0013) q[11];
crx(0.2437) q[11], q[0];
crx(0.1942) q[10],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 11} | {"circuits": [], "gradients": []} |
19bf2792303f03225b401563534cb3e3 | 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": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, ... | {"states": [90, 27], "expectation_value": -1.5975690818749881, "params": [[0.0714, 0.0726, 0.0711, 0.062200000000000005], [-0.0651, -0.0635, -0.0625, -0.0603]], "bitstrings": ["0100101", "1100100"], "total_optimization_steps": 10, "probabilities": [0.016652835823343835, 0.016652835823343842], "optimization_time": 7.152... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + -2.5 * Z(1) + -1.0 * Z(0) + -1.0 * Z(4) + -1.0 * Z(6) + 0.0 * Z(2) + 0.0 * Z(3) + 0.0 * Z(5) | 1 | 7 | 4 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -4.0, "smallest_bitstrings": ["1100100", "0100101", "1100001"]} | 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(0.0714) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0714) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(0.0714) q[4];
cx q[0], q[4];
cx q[1], q[6];
rz(0.0714) q[6];
cx q[1], q[6];
cx q[0], 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] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
-5270866512951824941 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8], "hyperedges": [[0, 1, 2], [8, 2], [0, 4, 5, 6], [0, 4, 7], [2, 3]]} | {"states": [433, 437], "expectation_value": -1.6973799317323865, "params": null, "bitstrings": ["001001110", "001001010"], "total_optimization_steps": 67, "probabilities": [0.2273756189341972, 0.4174553577862002], "optimization_time": 132.13760924339294} | 0.16666666666666666 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(0)) + 0.5 * (Z(8) @ Z(2)) + 0.25 * (Z(4) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(4)) + 0.08333333333333333 * (Z(6) @ Z(0)) + 0.08333333333333333 * (Z(6) @ Z(4)) + 0.0833333... | 1 | 9 | 1 | {"smallest_eigenvalues": [-1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667, -1.9166666666666667], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.8333333333333337, "smallest_bitstrings": ["001010000", "100100001", "010110001", "... | 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(1.4074) q[0];
cry(-1.0311) q[8], q[2];
ry(0.6993) q[8];
cry(-0.7098) q[3], q[2];
cry(1.1506) q[8], q[3];
ry(-0.2298) q[2];
cry(0.5265) q[3], q[8];
cry(0.6221) q[8], q[1];
cry(-0.1901) q... | 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(1.4074) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
2588d6bc234a2ebe9da283ea0a74ab37 | 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": 6}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 6}, {"capacity": 2, "source": 1, ... | {"states": [210, 127], "expectation_value": -6.027559410627919, "params": null, "bitstrings": ["00101101", "10000000"], "total_optimization_steps": 83, "probabilities": [0.05036366897357575, 0.7862576008289568], "optimization_time": 126.64881610870361} | -0.5 * (Z(0) @ Z(6)) + -0.75 * (Z(1) @ Z(6)) + -0.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(1)) + 0.75 * (Z(7) @ Z(0)) + -0.5 * (Z(7) @ Z(1)) + -0.25 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(7)) + -0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(5) @ Z(6)) + -0.25 * (Z(5) @ Z(1)) + -0.5 * (Z(5) @ Z(7)) + -0.5 * (Z(5) @ Z(2)) + -1.0 * (Z(5) @ Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-7.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.0, "smallest_bitstrings": ["10000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(1.5626) q[4], q[5];
cry(1.5693) q[5], q[2];
ry(1.5571) q[1];
cry(1.5681) q[1], q[6];
cry(1.0742) q[2], q[4];
ry(0.449) q[5];
cry(1.5036) q[5], q[7];
cry(1.4448) q[6], q[3];
cry(-1.399) q[7], q... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(1.5626) q[4], 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] = mea... |
1acf7607c7ee29e36b87a4b01083b206 | 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": 4}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "source": 3, "target": 5}, {"capaci... | {"states": [32, 31], "expectation_value": -0.9946404404805882, "params": [[-0.0632, -0.047], [0.07730000000000001, 0.07]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.022284755782958212, 0.023328474284803016], "optimization_time": 1.931023120880127} | -1.5 * (Z(0) @ Z(4)) + -0.25 * (Z(1) @ Z(4)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(2) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + 1.75 * (Z(5) @ Z(0)) + -0.25 * (Z(5) @ Z(3)) + 0.25 * Z(4) + -0.25 * Z(0) + 1.0 * Z(1) + -1.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) | 1 | 6 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "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[4], q[0];
rz(0.1896) q[0];
cx q[4], q[0];
cx q[4], q[1];
rz(0.0316) q[1];
cx q[4], q[1];
cx q[1], q[3];
rz(0.158) q[3];
cx q[1], q[3];
cx q[4], q[2];
rz(0.1264) q[2];
cx q[4], q[2];
cx q[4], q[5];
rz(0.1896)... | OPENQASM 3.0;
include "stdgates.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": []} |
cf6781246fc66f87fa6a567e8619e23b | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 1}, {"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 5... | {"states": [17, 1], "expectation_value": -0.08530047552726332, "params": [[0.0489], [-0.0375]], "bitstrings": ["1101110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.00847726432043984, 0.008504859833429506], "optimization_time": 2.0129945278167725} | -0.75 * (Z(0) @ Z(1)) + -0.5 * (Z(5) @ Z(1)) + -0.25 * (Z(5) @ Z(0)) + -0.5 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(5)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(2) @ Z(4)) + 1.25 * (Z(6) @ Z(0)) + -0.25 * (Z(6) @ Z(4)) + -0.25 * (Z(6) @ Z(2)) + -1.0 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(4)) + 0.25 * Z(1) + -0.25 * Z(0) + -1.25 *... | 1 | 7 | 1 | {"smallest_eigenvalues": [-6.75, -6.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.75, "smallest_bitstrings": ["1111110", "1101110"]} | 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(-0.0733) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(-0.0489) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0244) q[5];
cx q[0], q[5];
cx q[1], q[4];
rz(-0.0489) q[4];
cx q[1], q[4];
cx q[5], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
7457472811842010813 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10], "hyperedges": [[0, 2, 7], [9, 10], [2, 3, 4], [1, 2, 6], [0, 4], [9, 4, 5], [8, 3], [10, 2], [9, 3], [1, 3, 5], [0, 10, 7], [9, 6, 7], [0, 1, 6], [1, 4], [0, 2, 3], [8, 9, 7], [1, 10, 6], [9, 2, 4], [9, 4, 7], [10, 5]]} | {"states": [1854, 1838], "expectation_value": -5.471349010695267, "params": [1.5788, 1.5779, 1.5757, 1.5778, 1.5821, 1.5851000000000002, 0.3169, 0.316, 0.3297, 0.32480000000000003, 1.5836000000000001, 1.5812000000000002, 0.6976, 0.6895, 1.5802, 1.5764, 0.9477000000000001, 0.9353, 1.5823, 1.5828, 0.1749, 0.1745000000000... | 0.3333333333333333 * (Z(0) @ Z(2)) + 0.16666666666666666 * (Z(7) @ Z(2)) + 0.3333333333333333 * (Z(7) @ Z(0)) + 0.16666666666666666 * (Z(9) @ Z(2)) + 0.5 * (Z(9) @ Z(7)) + 0.5 * (Z(10) @ Z(2)) + 0.16666666666666666 * (Z(10) @ Z(0)) + 0.16666666666666666 * (Z(10) @ Z(7)) + 0.5 * (Z(10) @ Z(9)) + 0.3333333333333333 * (Z(... | 13 | 11 | 1 | {"smallest_eigenvalues": [-6.499999999999999], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.166666666666665, "smallest_bitstrings": ["00011010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(1.5788) q[0];
ry(1.5757) q[1];
ry(1.5821) q[2];
ry(0.3169) q[3];
ry(0.3297) q[4];
ry(1.5836) q[5];
ry(0.6976) q[6];
ry(1.5802) q[7];
ry(0.9477) q[8];
ry(1.5823) q[9];
ry(0.1749) q[10];
crz(0.6678) q[10], q[0];
crz(0.0118) q[9], q[10];
crz(0.0027) q[8], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
fd959b015d7c5b50b2cd05831ed95a60 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"weight": 8, "source": 0, "target": 1}, {"weight": 13, "source": 0, "target": 2}, {"weight": 17, "source": 0, "target": 4}, {"weight": 19, "source": 1, "target": 2}, {"weight": 1... | {"states": [250, 122], "expectation_value": -29.655793338334014, "params": [[-0.0279, -0.006500000000000001, -0.0034000000000000002, 0.0088], [0.057100000000000005, 0.0555, 0.0528, 0.051300000000000005]], "bitstrings": ["00000101", "10000101"], "total_optimization_steps": 10, "probabilities": [0.014939454666209485, 0.0... | 3.5 * (Z(0) @ Z(1)) + 3.5 * (Z(2) @ Z(1)) + 3.5 * (Z(2) @ Z(0)) + 3.5 * (Z(3) @ Z(1)) + 3.5 * (Z(3) @ Z(0)) + 3.5 * (Z(4) @ Z(0)) + 3.5 * (Z(4) @ Z(3)) + 3.5 * (Z(5) @ Z(1)) + 3.5 * (Z(5) @ Z(3)) + 3.5 * (Z(6) @ Z(1)) + 3.5 * (Z(6) @ Z(3)) + 3.5 * (Z(6) @ Z(4)) + 3.5 * (Z(6) @ Z(5)) + 3.5 * (Z(7) @ Z(2)) + 3.5 * (Z(7) ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-73.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -67.0, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.1953) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1953) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1953) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1953) q[3];
cx q[1], q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "perfect", "extra": "{\"n\": 6}"} | {"circuits": [], "gradients": []} |
4cd28f9bc761b26f6d6f15aeccbaedea | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 11, "source": 0, "target": 4}, {"weight": 18, "source": 0, "target": 5}, {"weight": 20, "source": 0, "target": 3}, {... | {"states": [249, 121], "expectation_value": -58.59241062217143, "params": [0.49820000000000003, -0.3388, 1.0533000000000001, 0.0092, 1.0524, -0.0076, 1.0532000000000001, 0.0016, 1.0542, -0.1497, 0.0009000000000000001, -0.5851000000000001, 0.3831, 0.4223, 1.1800000000000002, -0.16110000000000002, 0.504, -0.3379000000000... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(5) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(3)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(4)) + 4.0 * (Z(7) @ Z(6)) + 18.0 * Z(1) + 12.5 * Z(0) + 17.5 *... | 18 | 8 | 3 | {"smallest_eigenvalues": [-63.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.0, "smallest_bitstrings": ["10000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4982) q[0];
rz(-0.3388) q[0];
rx(1.0533) q[1];
rz(0.0092) q[1];
rx(1.0524) q[2];
rz(-0.0076) q[2];
rx(1.0532) q[3];
rz(0.0016) q[3];
rx(1.0542) q[4];
rz(-0.1497) q[4];
rx(0.0009) q[5];
rz(-0.5851) q[5];
rx(0.3831) q[6];
rz(0.4223) q[6];
rx(1.18) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f143dac0e88a27841fea76d818fec3d0 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}, {"id": 13}, {"id": 14}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 3, "targ... | {"states": [2015, 16351], "expectation_value": -17.82320577383265, "params": [0.7498, 0.0009000000000000001, 0.0035, -0.3714, 0.9016000000000001, 0.0041, 0.0024000000000000002, -0.5259, 0.0029000000000000002, -0.5992000000000001, -1.5938, 0.0017000000000000001, 0.0252, -0.0026000000000000003, 3.1298000000000004, -0.000... | -1.5 * (Z(0) @ Z(2)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(0)) + -1.5 * (Z(3) @ Z(4)) + -1.5 * (Z(5) @ Z(4)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + -1.5 * (Z(11) @ Z(12)) + -1.5 * (Z(13) @ Z(12)) + -1.5 * (Z(13) @ Z(11)) + 0.5 * Z(2) + 0.5 * Z(0) + 0.5 * Z(1) + 0.5 * Z(4) + 0.5 * Z(3... | 4 | 14 | 1 | {"smallest_eigenvalues": [-20.499999999999893], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.499999999999876, "smallest_bitstrings": ["00000000100000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
rx(0.7498) q[0];
rz(0.0009) q[0];
rx(0.0035) q[1];
rz(-0.3714) q[1];
rx(0.9016) q[2];
rz(0.0041) q[2];
rx(0.0024) q[3];
rz(-0.5259) q[3];
rx(0.0029) q[4];
rz(-0.5992) q[4];
rx(-1.5938) q[5];
rz(0.0017) q[5];
rx(0.0252) q[6];
rz(-0.0026) q[6];
rx(3.1298) q[7]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"node": 8} | {"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": -0.056842893216928425, "params": [[0.0439, 0.032100000000000004], [-0.041100000000000005, -0.038]], "bitstrings": ["100100001", "001110000"], "total_optimization_steps": 10, "probabilities": [0.002230766830409209, 0.0022307668304092127], "optimization_time": 10.24813818931579... | 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 | 2 | {"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(0.022) q[0];
cx q[1], q[0];
cx q[2], q[0];
rz(0.022) q[0];
cx q[2], q[0];
cx q[2], q[1];
rz(0.022) q[1];
cx q[2], q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.022) 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] 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] ... | null | {"circuits": [], "gradients": []} |
94dd9c8568f88dcb3e4d7e2fe1b8d82a | 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": 3}, {"capacity": 3, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 6... | {"states": [5, 63], "expectation_value": -6.434790535420706, "params": null, "bitstrings": ["1111010", "1000000"], "total_optimization_steps": 63, "probabilities": [0.07175495237596136, 0.7330665385176253], "optimization_time": 74.93409442901611} | -0.5 * (Z(0) @ Z(3)) + 0.75 * (Z(6) @ Z(0)) + -1.25 * (Z(1) @ Z(3)) + -0.5 * (Z(1) @ Z(6)) + -1.0 * (Z(2) @ Z(3)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(5) @ Z(3)) + -1.0 * (Z(4) @ Z(2)) + -1.5 * (Z(4) @ Z(5)) + 0.5 * Z(3) + -0.25 * Z(0) + 0.25 * Z(6) + -0.5 * Z(1) + -0.25 * Z(2) + -1.75 * Z(5) + 2.0 * Z(4) | 1 | 7 | 1 | {"smallest_eigenvalues": [-7.0, -7.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.0, "smallest_bitstrings": ["1000000", "1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(1.5708) q[4];
cry(1.5626) q[1], q[3];
cry(1.5708) q[3], q[2];
cry(1.2164) q[3], q[1];
cry(1.4868) q[1], q[6];
cry(-1.4865) q[6], q[0];
cry(1.3016) q[3], q[5];
cry(-0.3486) q[4], q[5];
cry(0.5369) q[1],... | null | {"source": 0, "sink": 6} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(1.5708) q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", "... |
ec86dd03f1bc9f7a5980c14449900d15 | 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": 2, "source": 0, "target": 3}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, ... | {"states": [3, 11], "expectation_value": -6.009503054026333, "params": null, "bitstrings": ["11111100", "11110100"], "total_optimization_steps": 28, "probabilities": [0.42570392794798445, 0.426398699446226], "optimization_time": 26.508769512176514} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(0)) + -0.5 * (Z(5) @ Z(0)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(2) @ Z(3)) + -0.5 * (Z(2) @ Z(5)) + 1.75 * (Z(7) @ Z(0)) + -0.25 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(2)) + -0.75 * (Z(6) @ Z(3)) + -0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(7)) + -0.25 * (Z(4) @ ... | 1 | 8 | 4 | {"smallest_eigenvalues": [-6.75, -6.75, -6.75, -6.75], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -5.75, "smallest_bitstrings": ["11110110", "11111110", "11111100", "11110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.5681) q[7], q[0];
ry(1.111) q[7];
ry(1.5694) q[6];
ry(-1.5681) q[1];
cry(-0.5312) q[6], q[0];
cry(0.3393) q[6], q[7];
ry(-0.1901) q[0];
cry(-1.3736) q[6], q[3];
cry(-1.3714) q[7], q[5];
ry(... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.5681) 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[5] = measure q[5];\nc[6] = me... |
d7a525ce4c2e3aa682dbfbc5ee640032 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, ... | {"states": [5, 7], "expectation_value": -3.422632654764279, "params": [[[1.0856000000000001, 0.0059], [1.0858, 0.0022], [1.1709, 0.0045000000000000005], [1.169, 0.007], [1.5937000000000001, 0.0081], [1.5893000000000002, 0.0088], [1.5981, 0.0088]]], "bitstrings": ["1111010", "1111000"], "total_optimization_steps": 160, ... | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 1 | 7 | 1 | {"smallest_eigenvalues": [-13.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -11.75, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(1.0856) q[0];
rz(0.0059) q[0];
rx(1.0858) q[1];
rz(0.0022) q[1];
rx(1.1709) q[2];
rz(0.0045) q[2];
rx(1.169) q[3];
rz(0.007) q[3];
rx(1.5937) q[4];
rz(0.0081) q[4];
rx(1.5893) q[5];
rz(0.0088) q[5];
rx(1.5981) q[6];
rz(0.0088) q[6];
c[0] = measure q[0];
c[1... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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] ... | {"k": 4} | {"circuits": [], "gradients": []} |
c8cc4a98ae2322198d431f79e7c08f2a | 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": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "target": 3}, ... | {"states": [50, 112], "expectation_value": -4.996398041567976, "params": null, "bitstrings": ["1001101", "0001111"], "total_optimization_steps": 31, "probabilities": [0.0663519663422765, 0.9303270202929237], "optimization_time": 29.58100700378418} | 0.5 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(6)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + -1.0 * Z(5) + -0.5 * Z(0) + -1.5 * Z(6) + -1.0 * Z(1) + -1.0 * Z(3) + -1.5 * Z... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0, -5.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.0, "smallest_bitstrings": ["0001111", "1001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
ry(-1.5708) q[6];
ry(-1.5708) q[4];
ry(-1.4449) q[3];
ry(1.4417) q[2];
ry(1.4417) q[1];
cry(-1.0342) q[0], q[5];
ry(0.7003) q[0];
cry(-0.1259) q[2], q[3];
ry(-0.4549) q[5];
cry(0.4962) q[2], q[0];
cry(-0.... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[7] c;\nqubit[7] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nry(-1.5708) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q[6];\n", ... |
6512948709232933166 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13], "hyperedges": [[0, 10, 7], [9, 5, 7], [1, 12, 5, 7], [8, 2, 13, 6], [0, 2, 11], [8, 7], [0, 3, 6], [9, 11, 4, 5], [3, 4], [2, 12], [1, 10, 12], [5, 13], [2, 6, 7], [9, 2, 10, 13], [11, 12], [3, 13], [0, 10, 6], [9, 2, 11], [9, 3, 6, 7]]} | {"states": [15059, 13011], "expectation_value": -5.6764901151803935, "params": [[1.1586, 0.029500000000000002, 0.40690000000000004, 0.0019, 2.7472000000000003, 0.0103, 0.24050000000000002, 0.37270000000000003, -0.003, 2.7507, 0.023700000000000002, -0.0008, 2.766, -0.083], [1.9757, 2.7963, 1.0886, -0.002, 0.394400000000... | 0.3333333333333333 * (Z(0) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(10)) + 0.16666666666666666 * (Z(7) @ Z(0)) + 0.08333333333333333 * (Z(9) @ Z(10)) + 0.25 * (Z(9) @ Z(7)) + 0.25 * (Z(5) @ Z(7)) + 0.25 * (Z(5) @ Z(9)) + 0.16666666666666666 * (Z(1) @ Z(10)) + 0.08333333333333333 * (Z(1) @ Z(7)) + 0.08333333333333333 ... | 10 | 14 | 1 | {"smallest_eigenvalues": [-6.333333333333292], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.1666666666666226, "smallest_bitstrings": ["00110100101100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[14] c;
qubit[14] q;
ry(1.1586) q[0];
ry(0.0295) q[1];
ry(0.4069) q[2];
ry(0.0019) q[3];
ry(2.7472) q[4];
ry(0.0103) q[5];
ry(0.2405) q[6];
ry(0.3727) q[7];
ry(-0.003) q[8];
ry(2.7507) q[9];
ry(0.0237) q[10];
ry(-0.0008) q[11];
ry(2.766) q[12];
ry(-0.083) q[13];
cz q[13], q[12];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
2be9598749a54d45ae6c968f3644c50e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 1, "source": 1, "target": 3}, {"capacity": 2, "source": 2, "target": 1}, {"capacity": 2, "source": 2, "... | {"states": [1, 7], "expectation_value": -0.4168785978995329, "params": [[0.0641, 0.0442, 0.054200000000000005, 0.0741], [-0.06770000000000001, -0.039, -0.0368, -0.0533]], "bitstrings": ["1110", "1000"], "total_optimization_steps": 10, "probabilities": [0.08446639868227016, 0.08447602711627902], "optimization_time": 3.6... | -0.25 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.25 * (Z(3) @ Z(1)) + 1.0 * (Z(3) @ Z(0)) + -0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -0.25 * Z(0) + 0.5 * Z(2) + 0.25 * Z(3) | 1 | 4 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0, "smallest_bitstrings": ["1110", "1100", "1000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
cx q[1], q[0];
rz(-0.0321) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0641) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0641) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0321) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1282) q[3];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 3} | {"circuits": [], "gradients": []} |
7c7664cb9cb13a35da50c3201e32fb16 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [112, 113], "expectation_value": -1.5923820931501558, "params": [0.2106, -0.1386, 0.5038, -0.0233, 0.508, 0.0099, 0.5029, 0.1401, 0.07680000000000001, 0.273, 0.2157, 0.17650000000000002, 0.0789, 0.3098, 0.4344, -0.0026000000000000003, 0.2119, -0.136, 0.49660000000000004, -0.0563, 0.49820000000000003, 0.0172,... | 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)) + 0.5 * (Z(5) @ Z(0)) + 0.25 * (Z(1) @ Z(3)) + 0.25 * (Z(5) @ Z(1)) + 0.25 * (Z(5) @ Z(3)) + -0.25 * (Z(5) @ Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(7)) + -0.25 * Z(... | 18 | 8 | 4 | {"smallest_eigenvalues": [-3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0, -3.0], "number_of_smallest_eigenvalues": 9, "first_excited_energy": -2.0, "smallest_bitstrings": ["10011010", "00110101", "10010011", "00101110", "10001110", "01001110", "10110001", "00101101", "11001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.2106) q[0];
rz(-0.1386) q[0];
rx(0.5038) q[1];
rz(-0.0233) q[1];
rx(0.508) q[2];
rz(0.0099) q[2];
rx(0.5029) q[3];
rz(0.1401) q[3];
rx(0.0768) q[4];
rz(0.273) q[4];
rx(0.2157) q[5];
rz(0.1765) q[5];
rx(0.0789) q[6];
rz(0.3098) q[6];
rx(0.4344) q[7];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
16a3f0e7912c5ed5cfa032c0d85156ec | 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": 2}, {"capacity": 3, "source": 2, "target": 3}, {"capacity": 2, "source": 2, "target": 5}, {"capacity": 2, "source": 2, ... | {"states": [127, 63], "expectation_value": -7.573690073039133, "params": null, "bitstrings": ["10000000", "11000000"], "total_optimization_steps": 69, "probabilities": [0.4164851832997924, 0.4167981182531923], "optimization_time": 87.88588547706604} | -0.25 * (Z(0) @ Z(2)) + -0.75 * (Z(3) @ Z(2)) + -1.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(3)) + -0.5 * (Z(6) @ Z(2)) + -1.75 * (Z(6) @ Z(3)) + 0.5 * (Z(7) @ Z(0)) + -0.75 * (Z(7) @ Z(3)) + -0.5 * (Z(4) @ Z(5)) + -0.25 * (Z(4) @ Z(6)) + -1.0 * (Z(1) @ Z(5)) + 0.5 * Z(2) + -0.25 * Z(0) + 0.25 * Z(3) + 1.5 * Z(5) + -0.5 * Z... | 1 | 8 | 2 | {"smallest_eigenvalues": [-8.25, -8.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000", "11000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
ry(1.5708) q[5];
cry(1.5708) q[5], q[2];
cry(1.5708) q[6], q[3];
ry(0.9553) q[6];
ry(0.5059) q[3];
cry(0.4991) q[3], q[6];
cry(1.3643) q[3], q[4];
cry(1.3643) q[3], q[7];
cry(-1.4045) q[7], q[0];
... | null | {"source": 0, "sink": 7} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5708) q[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[... |
ceba285572e61720bd2865b4542d41ef | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}, {"id": 12}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "... | {"states": [248, 4088], "expectation_value": -2.273281139882876, "params": [[0.0727], [-0.0646]], "bitstrings": ["111100000111", "000000000111"], "total_optimization_steps": 10, "probabilities": [0.0005347855263335338, 0.000563544192860345], "optimization_time": 6.134729623794556} | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + -2.0 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(1)) + -2.0 * (Z(3) @ Z(0)) + 1.0 * (Z(3) @ Z(2)) + -2.5 * (Z(4) @ Z(5)) + 0.5 * (Z(7) @ Z(5)) + -2.0 * (Z(7) @ Z(4)) + 1.0 * (Z(8) @ Z(5)) + -2.5 * (Z(8) @ Z(4)) + -2.0 * (Z(8) @ Z(7)) + -2.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(4)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-31.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -27.5, "smallest_bitstrings": ["000000000111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(-0.2908) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.2908) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.2908) q[2];
cx q[0], q[2];
cx q[1], 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;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0... | {"node": 11} | {"circuits": [], "gradients": []} |
b06e27961007262f3a2ecbf8aba20c59 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 6}, {"source": 1, "ta... | {"states": [1003, 1002], "expectation_value": -1.8521641330298038, "params": [[[0.6485000000000001, 0.1353], [0.8943000000000001, -0.0022], [0.9069, -0.0013000000000000002], [0.9015000000000001, -0.0013000000000000002], [0.9023, -0.0015], [0.9031, -0.0015], [-0.0026000000000000003, 0.5888], [0.9054000000000001, 0.00130... | 0.5 * (Z(0) @ Z(1)) + 0.0625 * (Z(0) @ Z(2)) + 0.0625 * (Z(0) @ Z(3)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(2) @ Z(3)) + 0.0625 * (Z(4) @ Z(2)) + 0.0625 * (Z(5) @ Z(2)) + 0.0625 * (Z(4) @ Z(3)) + 0.0625 * (Z(5) @ Z(3)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(0) @ Z(2) @ Z(3)) + -0.0625 * (Z(0)... | 1 | 11 | 2 | {"smallest_eigenvalues": [-4.9375], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.9375, "smallest_bitstrings": ["10000010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6485) q[0];
rz(0.1353) q[0];
rx(0.8943) q[1];
rz(-0.0022) q[1];
rx(0.9069) q[2];
rz(-0.0013) q[2];
rx(0.9015) q[3];
rz(-0.0013) q[3];
rx(0.9023) q[4];
rz(-0.0015) q[4];
rx(0.9031) q[5];
rz(-0.0015) q[5];
rx(-0.0026) q[6];
rz(0.5888) q[6];
rx(0.9054) q[7... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [206, 143], "expectation_value": -1.9921650704592762, "params": null, "bitstrings": ["00110001", "01110000"], "total_optimization_steps": 62, "probabilities": [0.09659391380377318, 0.7394272563540675], "optimization_time": 133.67087721824646} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + 0.125 * (Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(5)) + -0.125 * (Z(... | 1 | 8 | 3 | {"smallest_eigenvalues": [-2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25, -2.25], "number_of_smallest_eigenvalues": 13, "first_excited_energy": -1.25, "smallest_bitstrings": ["01010100", "11000010", "00110001", "00111000", "10010001", "10000011", "01000110", "01001010", "01110000", "... | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.1871) q[6], q[3];
ry(1.1774) q[5];
cry(-0.5926) q[7], q[1];
ry(1.0634) q[4];
cry(-0.549) q[0], q[3];
cry(-0.8071) q[1], q[7];
ry(0.6521) q[6];
cry(0.8749) q[6], q[0];
ry(-0.3249) q[3];
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];\ncry(-1.1871) q[6], 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] = me... |
ee68f24dce039a4cba3f3c3df952f527 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 3, "source": 1, "target": 4}, {"capacity": 1, "source": 2, "target": 1}, {"capacity": 1, "source": 4, "target": 3}, {"capaci... | {"states": [8, 27], "expectation_value": -2.291495606100743, "params": null, "bitstrings": ["110111", "100100"], "total_optimization_steps": 26, "probabilities": [0.07744130134523922, 0.6711829431980799], "optimization_time": 18.415565252304077} | 0.25 * (Z(0) @ Z(5)) + -0.75 * (Z(4) @ Z(5)) + -0.75 * (Z(1) @ Z(4)) + -0.25 * (Z(2) @ Z(1)) + -0.25 * (Z(3) @ Z(4)) + -0.5 * Z(5) + -0.25 * Z(0) + 0.25 * Z(4) + 0.5 * Z(1) + 0.25 * Z(2) + -0.25 * Z(3) | 1 | 6 | 1 | {"smallest_eigenvalues": [-2.75, -2.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -1.75, "smallest_bitstrings": ["100000", "100100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cry(1.5158) q[4], q[1];
cry(1.2167) q[1], q[4];
cry(1.3013) q[1], q[2];
ry(-1.0342) q[0];
cry(1.2575) q[4], q[5];
cry(-0.4867) q[5], q[0];
ry(-0.3085) q[5];
cry(0.5303) q[1], q[5];
ry(-0.5927) q[3];
cry(0.2354) q... | null | {"source": 0, "sink": 5} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[6] c;\nqubit[6] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\ncry(1.5158) q[4], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \... |
646c4ffdec7c3b688313fcfec6df6ea9 | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [17, 14], "expectation_value": -0.42496627719522545, "params": [[0.081, 0.0784], [-0.0877, -0.0838]], "bitstrings": ["01110", "10001"], "total_optimization_steps": 10, "probabilities": [0.0454460532709225, 0.04725385386816662], "optimization_time": 1.9276373386383057} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(4) @ Z(3)) + -0.5 * Z(1) + -1.0 * Z(0) + -0.5 * Z(2) + -0.5 * Z(3) + -1.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-3.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["10001"]} | 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(0.081) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(0.081) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.081) q[3];
cx q[0], q[3];
cx q[1], q[4];
rz(0.081) q[4];
cx q[1], q[4];
cx q[2], q[4];
rz(0.081) 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;
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(x0) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz... | null | {"circuits": [], "gradients": []} |
f2268dbc2cd9e9d8be6517cd34bc9399 | min_cut | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 1, "source": 0, "target": 3}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 6, "source": 1, "target": 3}]} | {"states": [4, 5], "expectation_value": -7.4999999999720615, "params": null, "bitstrings": ["1011", "1010"], "total_optimization_steps": 13, "probabilities": [4.65539676913598e-12, 0.9999999999953437], "optimization_time": 4.917701005935669} | -1.25 * (Z(0) @ Z(2)) + 1.5 * (Z(3) @ Z(0)) + -0.25 * (Z(1) @ Z(2)) + -1.5 * (Z(1) @ Z(3)) + -1.5 * Z(2) + -0.25 * Z(0) + 0.0 * Z(3) + 1.75 * Z(1) | 1 | 4 | 4 | {"smallest_eigenvalues": [-7.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5, "smallest_bitstrings": ["1010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[4] c;
qubit[4] q;
h q[0];
h q[1];
h q[2];
h q[3];
ry(1.5708) q[1];
cry(1.5708) q[1], q[3];
ry(-1.5708) q[0];
ry(-1.5708) q[2];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2];
c[3] = measure q[3]; | null | {"source": 0, "sink": 3} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[4] c;\nqubit[4] q;\nh q[0];\nh q[1];\nh q[2];\n... |
9915ff93784d747e82bcd9a73a2399e5 | 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": 0, "target": 4}, {"source": 1, "target": 4}, {"source": 2, "target": 4}, {"source": 3, "target": 4}]} | {"states": [0, 9], "expectation_value": -2.624903340271929, "params": null, "bitstrings": ["11111", "10110"], "total_optimization_steps": 14, "probabilities": [1.7181867225419193e-05, 0.9999371031796124], "optimization_time": 12.693478107452393} | 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];
ry(-1.5158) q[2];
ry(-1.4449) q[0];
ry(-1.445) q[3];
ry(1.4417) q[4];
ry(1.4417) q[1];
cry(-0.1259) q[4], q[0];
cry(0.1217) q[4], q[1];
cry(-0.1187) q[1], q[3];
cry(0.1214) q[1], q[4];
cry(-0.0519) q[4], q[2];
cry(-0.006... | 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(-1.5158) 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]... |
76c3b3f0a9246ef0a310fcffcbb31bf8 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [303, 302], "expectation_value": -80.86431755740658, "params": [-0.0027, 0.805, 1.2024000000000001, 0.20090000000000002, 0.5417000000000001, 0.4186, 0.0023, 0.8946000000000001, 1.1992, 0.2121, 0.48210000000000003, 0.4169, 1.1945000000000001, -0.10020000000000001, 1.1978, -0.1835, 1.2022000000000002, -0.0614,... | 7.0 * (Z(0) @ Z(1)) + 7.0 * (Z(2) @ Z(1)) + 7.0 * (Z(4) @ Z(1)) + 7.0 * (Z(4) @ Z(2)) + 7.0 * (Z(5) @ Z(4)) + 7.0 * (Z(9) @ Z(6)) + 7.0 * (Z(7) @ Z(6)) + 7.0 * (Z(7) @ Z(9)) + 7.0 * (Z(8) @ Z(5)) + 7.0 * (Z(8) @ Z(6)) + 7.0 * (Z(8) @ Z(9)) + 7.0 * (Z(8) @ Z(7)) + 14.5 * Z(1) + -5.5 * Z(0) + 1.5 * Z(2) + 17.0 * Z(4) + 1... | 18 | 10 | 2 | {"smallest_eigenvalues": [-119.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -109.5, "smallest_bitstrings": ["1011010001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(-0.0027) q[0];
rz(0.805) q[0];
rx(1.2024) q[1];
rz(0.2009) q[1];
rx(0.5417) q[2];
rz(0.4186) q[2];
rx(0.0023) q[3];
rz(0.8946) q[3];
rx(1.1992) q[4];
rz(0.2121) q[4];
rx(0.4821) q[5];
rz(0.4169) q[5];
rx(1.1945) q[6];
rz(-0.1002) q[6];
rx(1.1978) q[7];
rz... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
8c44c442a25e00dfae4e1647b2faf79f | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 3, "target": 4}]} | {"states": [26, 14], "expectation_value": -1.9855888858598751, "params": null, "bitstrings": ["100101", "110001"], "total_optimization_steps": 27, "probabilities": [0.10406139442534974, 0.8717759131270884], "optimization_time": 22.993109941482544} | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.25 * (Z(0) @ Z(3)) + 0.25 * (Z(0) @ Z(4)) + 0.25 * (Z(3) @ Z(4)) + -0.25 * (Z(0) @ Z(3) @ Z(4)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(2) @ Z(5)) + 0.0 * Z(0) + -0.25 * Z(1) + -0.25 * Z(2) + -0.25 * Z(3... | 1 | 6 | 4 | {"smallest_eigenvalues": [-2.0, -2.0, -2.0, -2.0, -2.0, -2.0, -2.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -1.0, "smallest_bitstrings": ["010011", "100101", "001101", "010101", "001110", "011010", "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(-1.4449) q[5];
cry(-1.3016) q[3], q[1];
ry(1.2881) q[2];
ry(1.0231) q[4];
cry(-0.992) q[4], q[0];
ry(0.6597) q[3];
ry(-0.5017) q[0];
cry(0.435) q[2], q[4];
cry(-0.1259) q[4], q[5];
cry(0.258) q[4], q[2];
ry(-0... | 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(-1.4449) q[5];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\n", "OPENQASM 3.0;\ninclude \"stdga... |
294512af72c0fecd4cefe8fd6a356b5c | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 1, "id": 3}, {"bipartite": 1, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}], "edges": [{"weight": 1, "source": 0, "t... | {"states": [130, 162], "expectation_value": -18.946592932978845, "params": [1.6062, 0.0086, 0.9711000000000001, 0.0024000000000000002, 1.6002, 0.0098, 0.0024000000000000002, 0.0039000000000000003, 0.0027, 0.0079, 0.7902, 0.0032, 1.6119, 0.0089, 1.3894, 0.0044, 0.0021000000000000003, 0.0066, 0.007500000000000001, 0.006,... | 4.5 * (Z(2) @ Z(0)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(0)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(2)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(7) @ Z(6)) + 4.0 * Z(0) + -2.5 * Z(2) + -4.0 * Z(1) + -6.0 * Z(3) + -11.0 * Z(4) + -5.0 * Z(5) + -0.5 * Z(6) + -3... | 3 | 8 | 1 | {"smallest_eigenvalues": [-48.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -46.5, "smallest_bitstrings": ["01011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.6062) q[0];
rz(0.0086) q[0];
rx(0.9711) q[1];
rz(0.0024) q[1];
rx(1.6002) q[2];
rz(0.0098) q[2];
rx(0.0024) q[3];
rz(0.0039) q[3];
rx(0.0027) q[4];
rz(0.0079) q[4];
rx(0.7902) q[5];
rz(0.0032) q[5];
rx(1.6119) q[6];
rz(0.0089) q[6];
rx(1.3894) 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], \"right_nodes\": [3, 4, 5, 6, 7]}"} | {"circuits": [], "gradients": []} |
b8aaab24da0004c3e40ded7e0da30763 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 3}, {"capacity": 1, "source": 0, "target": 4... | {"states": [5, 1], "expectation_value": -1.2755998646796511, "params": [[0.0689, 0.0654, 0.0281], [-0.056400000000000006, -0.0575, -0.0413]], "bitstrings": ["1111010", "1111110"], "total_optimization_steps": 10, "probabilities": [0.015182239956663388, 0.017048570725555504], "optimization_time": 3.1803348064422607} | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(3) @ Z(0)) + -0.25 * (Z(4) @ Z(0)) + -0.5 * (Z(4) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(5) @ Z(3)) + 2.5 * (Z(6) @ Z(0)) + -0.5 * (Z(6) @ Z(4)) + -0.5 * Z(1) + -0.25 * Z(0) + -0.5 * Z(2) + -0.25 * Z(3) + -0.25 * Z(4) + -0.25 * Z(5) + 2.0 * Z(6) | 1 | 7 | 3 | {"smallest_eigenvalues": [-9.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.5, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0689) q[0];
cx q[1], q[0];
cx q[0], q[2];
rz(-0.0689) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(-0.0689) q[3];
cx q[0], q[3];
cx q[0], q[4];
rz(-0.0345) q[4];
cx q[0], q[4];
cx q[3], q[4... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
6412888517233117992 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[5, 6], [8, 9, 11, 6], [0, 1, 4, 5, 7], [1, 2, 11, 5], [3, 6], [0, 2, 4, 5, 9], [0, 3, 4, 5, 8], [1, 2, 4, 6], [0, 9, 5, 7], [8, 2], [0, 10], [8, 7], [10, 2, 7], [2, 10, 5], [9, 11, 4], [0, 1, 2], [0, 3, 11], [1, 6, 7, 9, 11], [0, 3, 5, 8, 9], [0, 8, 11],... | {"states": [2549, 2517], "expectation_value": -4.982895170171896, "params": [[[2.8880000000000003, 0.0019], [1.4802, 0.009000000000000001], [0.6684, 0.003], [2.8887, 0.006], [2.8921, 0.0001], [2.8902, 0.0036000000000000003], [1.4842, 0.0085], [2.8966000000000003, 0.0041], [0.6831, 0.002], [2.8996, 0.0044], [0.8615, 0.0... | 0.5 * (Z(7) @ Z(8)) + 0.08333333333333333 * (Z(10) @ Z(8)) + 0.15000000000000002 * (Z(10) @ Z(7)) + 0.13333333333333333 * (Z(11) @ Z(8)) + 0.39999999999999997 * (Z(11) @ Z(7)) + 0.18333333333333335 * (Z(11) @ Z(10)) + 0.13333333333333333 * (Z(3) @ Z(8)) + 0.08333333333333333 * (Z(3) @ Z(7)) + 0.25 * (Z(3) @ Z(10)) + 0.... | 1 | 12 | 1 | {"smallest_eigenvalues": [-6.333333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -6.266666666666665, "smallest_bitstrings": ["011000101010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(2.888) q[0];
rz(0.0019) q[0];
rx(1.4802) q[1];
rz(0.009) q[1];
rx(0.6684) q[2];
rz(0.003) q[2];
rx(2.8887) q[3];
rz(0.006) q[3];
rx(2.8921) q[4];
rz(0.0001) q[4];
rx(2.8902) q[5];
rz(0.0036) q[5];
rx(1.4842) q[6];
rz(0.0085) q[6];
rx(2.8966) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
5decfcbe56a68574ecc0d9697d428cd1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 2, "target": 3},... | {"states": [2047, 255], "expectation_value": -20.510311168742188, "params": [[[0.0028, 0.0081], [0.0024000000000000002, 0.0083], [1.5783, 0.0089], [0.0022, 0.0033], [0.0025, 0.0054], [0.0023, 0.0038], [-0.01, 0.0012000000000000001], [0.0022, 0.0029000000000000002], [0.0023, 0.0012000000000000001], [0.002, 0.0032], [3.1... | -2.0 * (Z(0) @ Z(1)) + -2.0 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -2.0 * (Z(3) @ Z(6)) + -2.0 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(3)) + -2.0 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(3)) + -1.5 * (Z(5) @ Z(4)) + -2.0 * (Z(7) @ Z(8)) + -2.0 * (Z(10) @ Z(8)) + -1.5 * (Z(10) @ Z(7)) + -2.0 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(7)) + ... | 2 | 11 | 1 | {"smallest_eigenvalues": [-22.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.0, "smallest_bitstrings": ["11100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0028) q[0];
rz(0.0081) q[0];
rx(0.0024) q[1];
rz(0.0083) q[1];
rx(1.5783) q[2];
rz(0.0089) q[2];
rx(0.0022) q[3];
rz(0.0033) q[3];
rx(0.0025) q[4];
rz(0.0054) q[4];
rx(0.0023) q[5];
rz(0.0038) q[5];
rx(-0.01) q[6];
rz(0.0012) q[6];
rx(0.0022) 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] x2;
input float[64] x3;
input float[6... | {"node": 2} | {"circuits": [], "gradients": []} |
4b84faaad3bf7a7580aeb2d06aa05d30 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 6}, {"source": 2, "ta... | {"states": [90, 218], "expectation_value": -2.486064785265037, "params": [[[0.0021000000000000003, 0.0049], [1.6006, 0.004], [1.61, 0.0028], [1.2468000000000001, 0.0091], [1.6101, 0.006200000000000001], [1.6119, 0.008400000000000001], [0.0024000000000000002, 0.0088], [1.6093000000000002, 0.0027], [0.0021000000000000003... | 0.125 * (Z(1) @ Z(2)) + 0.125 * (Z(1) @ Z(3)) + 0.125 * (Z(4) @ Z(1)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(2)) + 0.125 * (Z(4) @ Z(3)) + -0.125 * (Z(1) @ Z(2) @ Z(3)) + -0.125 * (Z(4) @ Z(1) @ Z(2)) + -0.125 * (Z(4) @ Z(1) @ Z(3)) + -0.125 * (Z(4) @ Z(2) @ Z(3)) + 0.125 * (Z(4) @ Z(1) @ Z(2) @ Z(3)) + 0.25 * (Z(... | 1 | 9 | 1 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["100100101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0021) q[0];
rz(0.0049) q[0];
rx(1.6006) q[1];
rz(0.004) q[1];
rx(1.61) q[2];
rz(0.0028) q[2];
rx(1.2468) q[3];
rz(0.0091) q[3];
rx(1.6101) q[4];
rz(0.0062) q[4];
rx(1.6119) q[5];
rz(0.0084) q[5];
rx(0.0024) q[6];
rz(0.0088) q[6];
rx(1.6093) q[7];
rz(0.002... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | null | {"circuits": [], "gradients": []} |
74a9039e61abdfc370e0e9ccbda58085 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 1, "target": 2}, {"source": 4, "target": 5}]} | {"states": [2, 34], "expectation_value": -1.6519465683691066, "params": [0.8004, 0.039900000000000005, 0.30860000000000004, 0.4929, 0.0027, 0.596, 0.0023, -0.4786, 0.8064, 0.035300000000000005, 0.32280000000000003, 0.5168, 0.8097000000000001, 0.0045000000000000005, 0.31220000000000003, 0.007, 0.0027, 0.0081, 0.0023, 0.... | 0.5 * (Z(0) @ Z(1)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(2)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(2) @ Z(3)) + 0.125 * (Z(2) @ Z(4)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(0) @ Z(2) @ Z(3)) + -0.125 * (Z(0) @ Z(2) @ Z(4)) + -0.125 * (Z(2) @ Z(3) @ Z(4)) + 0.125 * (Z(0) @ Z(2) @ Z(3... | 3 | 6 | 2 | {"smallest_eigenvalues": [-2.625, -2.625, -2.625], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.625, "smallest_bitstrings": ["011110", "101101", "011101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(0.8004) q[0];
rz(0.0399) q[0];
rx(0.3086) q[1];
rz(0.4929) q[1];
rx(0.0027) q[2];
rz(0.596) q[2];
rx(0.0023) q[3];
rz(-0.4786) q[3];
rx(0.8064) q[4];
rz(0.0353) q[4];
rx(0.3228) q[5];
rz(0.5168) q[5];
crz(0.5628) q[5], q[4];
crz(-0.0264) q[4], q[3];
crz(0.4... | 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[... | null | {"circuits": [], "gradients": []} |
60adc8c0ec7ab7eb551a043d909b727d | community_detection | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"weight": 1, "source": 0, "target": 3}, {"weight": 1, "source": 1, "target": 2}, {"weight": 1, "source": 1, "target": 6}, {"weight": 1, "source": 2, "target... | {"states": [38314, 21930], "expectation_value": -2.018389880565222, "params": [[[3.1442, 0.0017000000000000001], [1.6273, 0.008700000000000001], [3.1438, 0.0061], [-3.1097, 0.0078000000000000005], [3.1442, 0.0005], [-3.1060000000000003, 0.0099], [3.1442, 0.0068000000000000005], [-0.0025, 0.007500000000000001], [3.1438,... | 0.25 * (Z(0) @ Z(1)) + 0.00015432098765432098 * (Z(2) @ Z(0)) + 0.00015432098765432098 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(2)) + 0.00015432098765432098 * (Z(4) @ Z(0)) + -0.0010802469135802468 * (Z(4) @ Z(2)) + 0.00015432098765432098 * (Z(5) @ Z(1)) + -0.0010802469135802468 * (Z(5) @ Z(3)) + 0.25 * (Z(5) @ Z(4)) + -0.00... | 2 | 16 | 1 | {"smallest_eigenvalues": [-2.021759259259196], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.021759259259153, "smallest_bitstrings": ["1010101001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(3.1442) q[0];
rz(0.0017) q[0];
rx(1.6273) q[1];
rz(0.0087) q[1];
rx(3.1438) q[2];
rz(0.0061) q[2];
rx(-3.1097) q[3];
rz(0.0078) q[3];
rx(3.1442) q[4];
rz(0.0005) q[4];
rx(-3.106) q[5];
rz(0.0099) q[5];
rx(3.1442) q[6];
rz(0.0068) q[6];
rx(-0.0025) q[7];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"communities_size": 4, "number_of_communities": 2} | {"circuits": [], "gradients": []} |
8a8a4905c9b0f8fd7847dc408134a288 | max_flow | adaptive_vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}], "edges": [{"capacity": 5, "source": 0, "target": 1}]} | {"states": [4, 0], "expectation_value": -3.2999744317987227, "params": null, "bitstrings": ["011", "111"], "total_optimization_steps": 4, "probabilities": [1.0971972809140004e-05, 0.9999872097052316], "optimization_time": 0.9992578029632568} | -0.2 * (Z(0) @ Z(1)) + -0.4 * (Z(2) @ Z(1)) + -0.2 * (Z(2) @ Z(0)) + -1.0 * Z(1) + -0.5 * Z(0) + -1.0 * Z(2) | 1 | 3 | 3 | {"smallest_eigenvalues": [-3.3], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
ry(-1.5681) q[1];
ry(-1.5708) q[2];
ry(-1.5642) q[0];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure q[2]; | null | {"source": 0, "sink": 1} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[3] c;\nqubit[3] q;\nh q[0];\nh q[1];\nh q[2];\nry(-1.5681) q[1];\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(-1.5681) q[1];\nry(-1.5708)... |
36d9a5cf3521b49d4476ce715d8c0ad7 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"capacity": 1, "source": 0, "target": 1}, {"capacity": 5, "source": 0, "target": 2}, {"capacity": 5, "source": 0, "target": 4}, {"capacity": 4, "source": 0, "target": 5}, {"capaci... | {"states": [23, 5], "expectation_value": -3.138876429860777, "params": [[0.0709, 0.0575, 0.0437], [-0.0702, -0.0512, -0.044500000000000005]], "bitstrings": ["101000", "111010"], "total_optimization_steps": 10, "probabilities": [0.04330597046561543, 0.044876990483637816], "optimization_time": 3.003744602203369} | -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 | 3 | {"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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(-0.0355) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1064) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1773) q[2];
cx q[0], q[2];
cx q[1], q[4];
rz(-0.3545) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
a5c40d068011c4e4e7f2c8be1bf9e74e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"capacity": 6, "source": 0, "target": 1}, {"capacity": 4, "source": 0, "target": 4}, {"capacity": 3, "source": 1, "target": 2}, {"capacity": 5, "source": 1, "target": 3}, {"capacity": 4, "so... | {"states": [15, 1], "expectation_value": -0.6804721280939788, "params": [[-0.0426, -0.0436], [0.0557, 0.0519]], "bitstrings": ["10000", "11110"], "total_optimization_steps": 10, "probabilities": [0.03894705084601373, 0.041630028125670675], "optimization_time": 1.5811519622802734} | -1.5 * (Z(0) @ Z(1)) + -1.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + -0.75 * (Z(2) @ Z(1)) + -1.25 * (Z(3) @ Z(1)) + -1.0 * (Z(3) @ Z(2)) + 1.5 * Z(1) + -0.25 * Z(0) + 0.75 * Z(4) + 0.25 * Z(2) + -2.25 * Z(3) | 1 | 5 | 2 | {"smallest_eigenvalues": [-6.75], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.75, "smallest_bitstrings": ["11110"]} | 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(0.1278) q[0];
cx q[1], q[0];
cx q[1], q[4];
rz(0.0852) q[4];
cx q[1], q[4];
cx q[0], q[4];
rz(-0.1491) q[4];
cx q[0], q[4];
cx q[1], q[2];
rz(0.0639) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.1065) q[3];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
3a96def0087bb3e839e31265faaf073e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 7}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target":... | {"states": [2, 1023], "expectation_value": -7.538300948965003, "params": [[[-0.8536, 0.0027], [0.0067, 0.001], [-0.0006000000000000001, -0.0025], [0.0009000000000000001, -0.0025], [0.008, 0.0001], [0.0001, 0.0023], [-0.0014, -0.0025], [-0.0004, 0.0026000000000000003], [-0.0057, 0.0029000000000000002], [0.00130000000000... | -0.25 * (Z(0) @ Z(8)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(6) @ Z(8)) + -0.5 * (Z(6) @ Z(1)) + -0.75 * (Z(10) @ Z(8)) + -0.5 * (Z(10) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(1)) + -0.5 * (Z(2) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(10)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 15 | 11 | 4 | {"smallest_eigenvalues": [-8.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -7.25, "smallest_bitstrings": ["10000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
ry(-0.8536) q[0];
ry(0.0067) q[1];
ry(-0.0006) q[2];
ry(0.0009) q[3];
ry(0.008) q[4];
ry(0.0001) q[5];
ry(-0.0014) q[6];
ry(-0.0004) q[7];
ry(-0.0057) q[8];
ry(0.0013) q[9];
ry(0.0113) q[10];
cx q[10], q[0];
cx q[9], q[10];
cx q[8], q[9];
cx q[7], q[8];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 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": -0.7581055854025023, "params": [[-0.0621, -0.0731], [0.06910000000000001, 0.0717]], "bitstrings": ["011111", "100000"], "total_optimization_steps": 10, "probabilities": [0.025028138949651738, 0.025645661735740996], "optimization_time": 2.037107467651367} | 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];
cx q[5], q[0];
rz(-0.0311) q[0];
cx q[5], q[0];
cx q[5], q[1];
rz(0.0621) q[1];
cx q[5], q[1];
cx q[1], q[4];
rz(0.0932) q[4];
cx q[1], q[4];
cx q[1], q[2];
rz(0.0932) q[2];
cx q[1], q[2];
cx q[1], q[3];
rz(0.031... | OPENQASM 3.0;
include "stdgates.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] ... | {"source": 0, "sink": 5} | {"circuits": [], "gradients": []} |
6392584644503107042 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[0, 1, 3, 5], [0, 3, 4], [2, 4]]} | {"states": [60, 45], "expectation_value": -0.34029528183929575, "params": [[-0.3388], [0.3458]], "bitstrings": ["000011", "010010"], "total_optimization_steps": 40, "probabilities": [0.027243038780800942, 0.02724303878080095], "optimization_time": 1.6821603775024414} | 0.08333333333333333 * (Z(0) @ Z(1)) + 0.08333333333333333 * (Z(3) @ Z(1)) + 0.25 * (Z(3) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(1)) + 0.08333333333333333 * (Z(5) @ Z(0)) + 0.08333333333333333 * (Z(5) @ Z(3)) + 0.16666666666666666 * (Z(4) @ Z(0)) + 0.16666666666666666 * (Z(4) @ Z(3)) + 0.5 * (Z(2) @ Z(4)) + 0.125 * Z... | 1 | 6 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -1.0, "smallest_bitstrings": ["101000", "000011", "001100", "010010"]} | 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(-0.0565) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(-0.0565) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0.1694) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(-0.0565) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[6] c;
qubit[6] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], ... | null | {"circuits": [], "gradients": []} |
3536030517596435129 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 5, 6, 7], [0, 1, 5, 6, 7], [1, 2, 3, 6, 7], [0, 1, 2, 6], [0, 1, 2, 3, 5], [0, 1, 3, 6], [2, 3, 4, 5, 6], [0, 4, 6], [4, 5, 7], [1, 2, 3, 5, 6], [0, 4, 5], [1, 4, 7], [2, 3, 5, 7]]} | {"states": [230, 110], "expectation_value": -3.058768189384847, "params": null, "bitstrings": ["00011001", "10010001"], "total_optimization_steps": 44, "probabilities": [0.048819181796459915, 0.8836878384655279], "optimization_time": 77.63473391532898} | 0.31666666666666665 * (Z(2) @ Z(5)) + 0.23333333333333334 * (Z(6) @ Z(5)) + 0.31666666666666665 * (Z(6) @ Z(2)) + 0.3833333333333333 * (Z(7) @ Z(5)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.18333333333333335 * (Z(7) @ Z(6)) + 0.26666666666666666 * (Z(0) @ Z(5)) + 0.13333333333333333 * (Z(0) @ Z(2)) + 0.383333333333333... | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.1666666666666674], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.0833333333333326, "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(1.5676) q[5];
ry(1.5405) q[6];
ry(1.2602) q[1];
cry(-0.9666) q[4], q[0];
cry(-0.7528) q[4], q[7];
ry(0.6835) q[4];
cry(-0.5863) q[1], q[0];
cry(0.3888) q[5], q[4];
cry(-0.7345) q[1], q[7];
cry(... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nry(1.5676) 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[... |
69144809aea48cb46eae9c3950f24a15 | edge_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [0, 2], "expectation_value": -0.535924494693161, "params": [[-0.07100000000000001, -0.07490000000000001, -0.06910000000000001, -0.0424], [0.0714, 0.0757, 0.0746, 0.0632]], "bitstrings": ["111", "101"], "total_optimization_steps": 10, "probabilities": [0.1426418083350869, 0.20581203088909888], "optimization_t... | 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(0) @ Z(1)) + -1.0 * Z(0) + -0.5 * Z(1) + -1.0 * Z(2) | 1 | 3 | 4 | {"smallest_eigenvalues": [-2.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.5, "smallest_bitstrings": ["101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[3] c;
qubit[3] q;
h q[0];
h q[1];
h q[2];
cx q[2], q[1];
rz(-0.071) q[1];
cx q[2], q[1];
cx q[1], q[0];
rz(-0.071) q[0];
cx q[1], q[0];
rz(0.142) q[0];
rz(0.071) q[1];
rz(0.142) q[2];
h q[0];
rz(0.1428) q[0];
h q[0];
h q[1];
rz(0.1428) q[1];
h q[1];
h q[2];
rz(0.1428) q[2];
h 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": []} |
4315165191409007155 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], "hyperedges": [[9, 2, 7], [0, 1, 2, 4, 5, 8], [9, 5, 6, 7], [2, 3, 4, 5], [8, 4, 7], [1, 6, 7], [2, 3, 6, 7, 8], [1, 3], [0, 2, 5, 6, 8, 9], [2, 4, 5, 6, 8, 9], [8, 1, 4, 6], [0, 3, 6, 7, 8], [1, 4, 7]]} | {"states": [748, 764], "expectation_value": -2.8139008787599655, "params": [1.3591, 1.7815, 0.1574, 0.1312, 1.77, 1.3956000000000002, 1.0645, 1.0221, 1.5450000000000002, 1.5725, 1.6837, 0.642, 1.7431, 1.3918000000000001, 1.2509000000000001, 1.78, 1.5678, 1.5008000000000001, 1.7861, 1.4038000000000002, 0.341, 1.61940000... | 0.2333333333333333 * (Z(9) @ Z(2)) + 0.21666666666666667 * (Z(7) @ Z(2)) + 0.25 * (Z(7) @ Z(9)) + 0.06666666666666667 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(9)) + 0.05 * (Z(0) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(2)) + 0.3333333333333333 * (Z(1) @ Z(7)) + 0.03333333333333333 * (Z(1) @ Z(0)) + 0.15 * (Z(... | 14 | 10 | 1 | {"smallest_eigenvalues": [-3.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -3.200000000000001, "smallest_bitstrings": ["0100000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(1.3591) q[0];
ry(0.1574) q[1];
ry(1.77) q[2];
ry(1.0645) q[3];
ry(1.545) q[4];
ry(1.6837) q[5];
ry(1.7431) q[6];
ry(1.2509) q[7];
ry(1.5678) q[8];
ry(1.7861) q[9];
crx(0.341) q[9], q[0];
crx(0.4869) q[8], q[9];
crx(0.5898) q[7], q[8];
crx(0.3207) q[6], q[... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
8400dfc59c687750e53928e5f0a8ca8d | 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": 5, "source": 0, "target": 1}, {"capacity": 6, "source": 1, "target": 2}, {"capacity": 3, "source": 1, "target": 6}, {"capac... | {"states": [512, 511], "expectation_value": -25.525263746943576, "params": [[[-0.0036000000000000003, -0.0058000000000000005], [-0.0068000000000000005, -0.0026000000000000003], [-0.0013000000000000002, 0.0023], [0.0029000000000000002, -0.0028], [0.0051, -0.0029000000000000002], [0.014400000000000001, -0.003], [-0.0016,... | -1.25 * (Z(0) @ Z(1)) + -2.5 * (Z(2) @ Z(1)) + -0.75 * (Z(6) @ Z(1)) + -2.0 * (Z(6) @ Z(2)) + -0.75 * (Z(9) @ Z(1)) + 1.5 * (Z(9) @ Z(0)) + -0.75 * (Z(9) @ Z(2)) + -1.5 * (Z(9) @ Z(6)) + -1.5 * (Z(3) @ Z(2)) + -1.25 * (Z(3) @ Z(6)) + -0.75 * (Z(3) @ Z(9)) + -0.5 * (Z(8) @ Z(1)) + -1.5 * (Z(8) @ Z(2)) + -1.75 * (Z(8) @ ... | 15 | 10 | 2 | {"smallest_eigenvalues": [-26.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -25.25, "smallest_bitstrings": ["1000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(-0.0036) q[0];
ry(-0.0068) q[1];
ry(-0.0013) q[2];
ry(0.0029) q[3];
ry(0.0051) q[4];
ry(0.0144) q[5];
ry(-0.0016) q[6];
ry(-0.0013) q[7];
ry(-0.0066) q[8];
ry(1.6564) q[9];
cx q[9], q[0];
cx q[8], q[9];
cx q[7], q[8];
cx q[6], q[7];
cx q[5], q[6];
cx q[4]... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 9} | {"circuits": [], "gradients": []} |
96ccbb83c354723a5662bdaecab6064e | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 2, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target":... | {"states": [0, 256], "expectation_value": -7.362496240717767, "params": [-0.004200000000000001, 0.0603, 0.0011, 0.1203, -0.0044, 0.23600000000000002, -0.0015, 0.23090000000000002, 0.2972, 0.00030000000000000003, 0.2997, 0.0002, -0.00030000000000000003, 0.1723, -0.0059, 0.2371, 0.0011, 0.2348, -0.0038, 0.2214, -0.001700... | -0.25 * (Z(0) @ Z(6)) + -0.5 * (Z(5) @ Z(6)) + -0.5 * (Z(1) @ Z(5)) + -0.25 * (Z(7) @ Z(5)) + -0.5 * (Z(3) @ Z(7)) + -0.5 * (Z(8) @ Z(6)) + -0.25 * (Z(8) @ Z(7)) + -1.0 * (Z(8) @ Z(3)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(9) @ Z(7)) + -0.25 * (Z(9) @ Z(3)) + -0.5 * (Z(9) @ Z(8)) + -0.25 * (Z(4) @ Z(5)) + -0.25 * (Z(4) ... | 6 | 11 | 3 | {"smallest_eigenvalues": [-7.75, -7.75, -7.75, -7.75, -7.75, -7.75, -7.75], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -6.75, "smallest_bitstrings": ["11000111011", "11011111111", "10000010010", "10000010000", "10000000000", "11001111011", "10000000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0042) q[0];
rz(0.0603) q[0];
rx(-0.0044) q[1];
rz(0.236) q[1];
rx(0.2972) q[2];
rz(0.0003) q[2];
rx(-0.0003) q[3];
rz(0.1723) q[3];
rx(0.0011) q[4];
rz(0.2348) q[4];
rx(-0.0017) q[5];
rz(0.2048) q[5];
rx(-0.001) q[6];
rz(0.2317) q[6];
rx(0.0007) q[7];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
9d0fda9991561362ccfc12e66c38b9f5 | edge_cover | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": ... | {"states": [61, 93], "expectation_value": -3.1570796975267292, "params": null, "bitstrings": ["11000010", "10100010"], "total_optimization_steps": 55, "probabilities": [0.07330224985660826, 0.7568195485491375], "optimization_time": 129.8884072303772} | 0.5 * (Z(1) @ Z(2)) + 0.0625 * (Z(0) @ Z(1)) + 0.0625 * (Z(3) @ Z(0)) + 0.0625 * (Z(0) @ Z(4)) + 0.0625 * (Z(0) @ Z(5)) + 0.0625 * (Z(3) @ Z(1)) + 0.0625 * (Z(4) @ Z(1)) + 0.0625 * (Z(1) @ Z(5)) + 0.0625 * (Z(3) @ Z(4)) + 0.0625 * (Z(3) @ Z(5)) + 0.0625 * (Z(4) @ Z(5)) + -0.0625 * (Z(3) @ Z(0) @ Z(1)) + -0.0625 * (Z(0)... | 1 | 8 | 3 | {"smallest_eigenvalues": [-3.5625], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -2.5625, "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(-1.4868) q[0];
cry(-1.3016) q[4], q[6];
cry(-1.3016) q[1], q[2];
ry(1.2941) q[3];
ry(1.2938) q[5];
ry(0.7825) q[4];
ry(-0.6333) q[6];
ry(0.7818) q[1];
ry(-0.633) q[2];
cry(1.1588) q[4], q[7];
c... | 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(-1.4868) q[0];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = measure q... |
8ed7cc91faf8f25841f02066a68a347e | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 4, "source": 0, "target": 1}, {"capacity": 6, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 4... | {"states": [0, 63], "expectation_value": -0.20258502802146136, "params": [[0.006900000000000001, 0.021500000000000002, -0.003, 0.042100000000000005], [-0.0006000000000000001, -0.0207, 0.0172, -0.0143]], "bitstrings": ["1111111", "1000000"], "total_optimization_steps": 10, "probabilities": [0.008428546956521862, 0.00846... | -1.0 * (Z(0) @ Z(1)) + -0.75 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -1.0 * (Z(6) @ Z(1)) + 2.75 * (Z(6) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -1.5 * (Z(4) @ Z(2)) + -1.0 * (Z(4) @ Z(6)) + -0.75 * (Z(3) @ Z(2)) + -1.0 * (Z(3) @ Z(6)) + -1.5 * (Z(3) @ Z(4)) + -0.75 * (Z(5) @ Z(6)) + -1.25 * Z(1) + -0.25 * Z(0) + 0.0 * Z(2) ... | 1 | 7 | 4 | {"smallest_eigenvalues": [-10.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -9.0, "smallest_bitstrings": ["1000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0138) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0104) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0207) q[2];
cx q[0], q[2];
cx q[1], q[6];
rz(-0.0138) q[6];
cx q[1], q[6];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
e9e1c3bad7671d416f508c960af260f6 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 4}, {"capacity": 2, "source": 0, "target": 5}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [33, 1], "expectation_value": -0.49255386916280963, "params": [[-0.062400000000000004, -0.0352], [0.0781, 0.0631]], "bitstrings": ["1011110", "1111110"], "total_optimization_steps": 10, "probabilities": [0.012136701430474, 0.012320915721680911], "optimization_time": 2.4088211059570312} | -0.75 * (Z(0) @ Z(4)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(2) @ Z(4)) + -0.25 * (Z(2) @ Z(5)) + -0.25 * (Z(1) @ Z(2)) + -0.75 * (Z(3) @ Z(5)) + -0.25 * (Z(3) @ Z(2)) + -0.25 * (Z(6) @ Z(4)) + 1.5 * (Z(6) @ Z(0)) + 0.25 * Z(4) + -0.25 * Z(0) + 0.0 * Z(5) + -1.0 * Z(2) + 0.25 * Z(1) + -0.5 * Z(3) + 1.25 * Z(6) | 1 | 7 | 2 | {"smallest_eigenvalues": [-7.25, -7.25], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -5.25, "smallest_bitstrings": ["1111110", "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];
cx q[4], q[0];
rz(0.0936) q[0];
cx q[4], q[0];
cx q[0], q[5];
rz(0.0624) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(0.0936) q[2];
cx q[4], q[2];
cx q[5], q[2];
rz(0.0312) q[2];
cx q[5], q[2];
cx q[2], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64]... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
fb6267fe9e00f958431b621d7db08da1 | min_cut | qaoa | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 1, "source": 0, "target": 5}, {"capacity": 1, "source": 0, "target": 6}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 2, "target": 3... | {"states": [63, 1], "expectation_value": -0.19476854799464743, "params": [[-0.0507, -0.0539], [0.0611, 0.061500000000000006]], "bitstrings": ["1000000", "1111110"], "total_optimization_steps": 10, "probabilities": [0.010142309789454924, 0.010653269835917517], "optimization_time": 2.7657241821289062} | -0.25 * (Z(0) @ Z(5)) + 0.5 * (Z(6) @ Z(0)) + -0.25 * (Z(1) @ Z(5)) + -0.25 * (Z(2) @ Z(1)) + -0.75 * (Z(3) @ Z(5)) + -0.5 * (Z(3) @ Z(1)) + -0.25 * (Z(3) @ Z(2)) + -0.5 * (Z(4) @ Z(5)) + -0.5 * (Z(4) @ Z(1)) + -0.25 * (Z(4) @ Z(3)) + 0.25 * Z(5) + -0.25 * Z(0) + 0.5 * Z(6) + -1.0 * Z(1) + 0.0 * Z(2) + 0.25 * Z(3) + 0.... | 1 | 7 | 2 | {"smallest_eigenvalues": [-5.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -4.0, "smallest_bitstrings": ["1111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[5], q[0];
rz(0.0254) q[0];
cx q[5], q[0];
cx q[0], q[6];
rz(-0.0507) q[6];
cx q[0], q[6];
cx q[5], q[1];
rz(0.0254) q[1];
cx q[5], q[1];
cx q[1], q[2];
rz(0.0254) q[2];
cx q[1], q[2];
cx q[5], q[3];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] 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... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
-1093134671775269203 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 3], [0, 5], [2, 5], [2, 4], [3, 5], [2, 3], [0, 1], [3, 4], [0, 2], [1, 4]]} | {"states": [36, 38], "expectation_value": -0.04575385405543646, "params": [[[1.705, 0.002], [1.4469, 0.0079], [1.4533, 0.0035], [1.7273, 0.007], [1.5711000000000002, 0.0016], [1.4445000000000001, 0.0058000000000000005]]], "bitstrings": ["011011", "011001"], "total_optimization_steps": 180, "probabilities": [0.028932708... | 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(4) @ Z(2)) + 0.0 * Z(3) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(2) + 0.0 * Z(4) | 1 | 6 | 1 | {"smallest_eigenvalues": [-3.0, -3.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.0, "smallest_bitstrings": ["100110", "011001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.705) q[0];
rz(0.002) q[0];
rx(1.4469) q[1];
rz(0.0079) q[1];
rx(1.4533) q[2];
rz(0.0035) q[2];
rx(1.7273) q[3];
rz(0.007) q[3];
rx(1.5711) q[4];
rz(0.0016) q[4];
rx(1.4445) q[5];
rz(0.0058) q[5];
c[0] = measure q[0];
c[1] = measure q[1];
c[2] = measure 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
input float[64] x8;
input float[64] x9;
bit[6] c;
qubit[6] q;
rx(x0) q[0];
rz(x1... | null | {"circuits": [], "gradients": []} |
f156f991f453bf2551660b1dc00bf1f6 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 1}, {"capacity": 2, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 3}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -14.941358532836762, "params": [-0.0025, -0.0942, 0.003, -0.1308, 0.0053, -0.07150000000000001, -0.00030000000000000003, -0.1375, 0.0081, -0.1406, 0.001, -0.1442, 0.0053, -0.1342, -0.0017000000000000001, -0.1507, 0.0024000000000000002, -0.1298, 0.0074, -0.14300000000000002, 0.002... | -0.5 * (Z(0) @ Z(1)) + -0.5 * (Z(2) @ Z(0)) + -1.0 * (Z(3) @ Z(0)) + -1.0 * (Z(4) @ Z(1)) + -0.75 * (Z(4) @ Z(0)) + -1.0 * (Z(4) @ Z(2)) + -0.75 * (Z(7) @ Z(2)) + -1.0 * (Z(7) @ Z(3)) + -0.25 * (Z(7) @ Z(4)) + -1.0 * (Z(5) @ Z(1)) + -1.5 * (Z(5) @ Z(3)) + -1.0 * (Z(6) @ Z(1)) + -1.0 * (Z(6) @ Z(3)) + -1.0 * (Z(6) @ Z(7... | 5 | 9 | 4 | {"smallest_eigenvalues": [-18.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(-0.0025) q[0];
rz(-0.0942) q[0];
rx(0.0053) q[1];
rz(-0.0715) q[1];
rx(0.0081) q[2];
rz(-0.1406) q[2];
rx(0.0053) q[3];
rz(-0.1342) q[3];
rx(0.0024) q[4];
rz(-0.1298) q[4];
rx(0.0025) q[5];
rz(-0.1447) q[5];
rx(0.0036) q[6];
rz(-0.1362) q[6];
rx(-0.0003) q[... | 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": 8} | {"circuits": [], "gradients": []} |
9915ff93784d747e82bcd9a73a2399e5 | graph_coloring | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 3}, {"id": 4}, {"id": 1}, {"id": 2}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 3, "target": 4}, {"source": 4, "target": 1}, {"source": 4, "target": 2}]} | {"states": [28063, 28061], "expectation_value": -6.973181372692766, "params": [3.1432, 0.0011, 2.5546, 0.0008, 1.1671, 0.0002, 2.2702, 0.0026000000000000003, 3.1433, 0.0018000000000000002, 1.0187, 0.0033, 2.4202, 0.0094, 3.1384000000000003, 0.0005, 0.9829, 0.0089, 1.1516, 0.0021000000000000003, 3.1449000000000003, 0.00... | 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(12) @ Z(0)) + 0.25 * (Z(12) @ Z(9)) + 0.25 * (Z(13) @ Z(1)) + 0.25 * (Z(13) @ Z(10)) + 0.5 * (Z(13) @ Z... | 16 | 15 | 1 | {"smallest_eigenvalues": [-8.749999999999986], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.749999999999977, "smallest_bitstrings": ["001001001100010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
rx(3.1432) q[0];
rz(0.0011) q[0];
rx(2.5546) q[1];
rz(0.0008) q[1];
rx(1.1671) q[2];
rz(0.0002) q[2];
rx(2.2702) q[3];
rz(0.0026) q[3];
rx(3.1433) q[4];
rz(0.0018) q[4];
rx(1.0187) q[5];
rz(0.0033) q[5];
rx(2.4202) q[6];
rz(0.0094) q[6];
rx(3.1384) q[7];
rz(... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
6998245398537875737 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 3, 7], [0, 3, 4, 5], [1, 5, 7], [1, 2, 5, 6], [0, 1, 2, 4, 6, 7], [1, 2, 3, 4, 5]]} | {"states": [189, 175], "expectation_value": -0.1388164729111507, "params": [0.8007000000000001, -0.0034000000000000002, 0.8022, 0.0008, 0.7962, 0.0039000000000000003, 0.8026000000000001, 0.006900000000000001, 0.8041, 0.0029000000000000002, 0.7994, 0.0055000000000000005, 0.8033, -0.0034000000000000002, 0.806800000000000... | 0.21666666666666667 * (Z(2) @ Z(3)) + 0.16666666666666666 * (Z(7) @ Z(3)) + 0.19999999999999998 * (Z(7) @ Z(2)) + 0.08333333333333333 * (Z(0) @ Z(3)) + 0.03333333333333333 * (Z(0) @ Z(2)) + 0.03333333333333333 * (Z(0) @ Z(7)) + 0.13333333333333333 * (Z(4) @ Z(3)) + 0.08333333333333334 * (Z(4) @ Z(2)) + 0.03333333333333... | 6 | 8 | 1 | {"smallest_eigenvalues": [-1.533333333333333], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -1.4833333333333332, "smallest_bitstrings": ["01010000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.8007) q[0];
rz(-0.0034) q[0];
rx(0.7962) q[1];
rz(0.0039) q[1];
rx(0.8041) q[2];
rz(0.0029) q[2];
rx(0.8033) q[3];
rz(-0.0034) q[3];
rx(0.8058) q[4];
rz(-0.0034) q[4];
rx(0.8067) q[5];
rz(-0.0031) q[5];
rx(0.7958) q[6];
rz(-0.005) q[6];
rx(0.8051) 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": []} |
17639781641b88f9ffa836608d3b637d | matching | qaoa | {"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": 15, "source": 0, "target": 2}, {"weight": 17, "source": 1, "target": 5}, {"weight": 13, "source": 1, "target": 2}, {... | {"states": [248, 124], "expectation_value": -24.551370632785012, "params": [[0.0236, -0.0019], [-0.0777, -0.0784]], "bitstrings": ["00000111", "10000011"], "total_optimization_steps": 10, "probabilities": [0.009600265094738162, 0.011019205855657991], "optimization_time": 4.496105194091797} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(4) @ Z(2)) + 4.0 * (Z(5) @ Z(0)) + 4.0 * (Z(5) @ Z(2)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(2)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(3) @ Z(5)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-80.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -73.0, "smallest_bitstrings": ["10000011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.1888) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1888) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1888) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(0.1888) q[4];
cx q[0], q[4];
cx q[2],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
f65df388240a6bafb6d8e4e3b37bcf6e | 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": 5}, {"source": 1, "target": 5}, {"source": 2, "target": 4}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [56, 44], "expectation_value": -0.6041479282879054, "params": [[0.0781, 0.0757], [-0.0763, -0.0687]], "bitstrings": ["1000111", "1010011"], "total_optimization_steps": 10, "probabilities": [0.010938639946841328, 0.010938639946841333], "optimization_time": 2.886234998703003} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(2)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(3) @ Z(6)) + -0.5 * Z(1) + -0.5 * Z(0) + -1.5 * Z(5) + -0.5 * Z(4) + -0.5 * Z(2) + -1.5 * Z(6) + -0.5 * Z(3) | 1 | 7 | 2 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -3.0, "smallest_bitstrings": ["1000111", "1010011", "0100111", "0110011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(0.0781) q[0];
cx q[1], q[0];
cx q[1], q[5];
rz(0.0781) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0781) q[5];
cx q[0], q[5];
cx q[4], q[2];
rz(0.0781) q[2];
cx q[4], q[2];
cx q[5], q[6];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
c... | null | {"circuits": [], "gradients": []} |
59c7bf586b1b6ff0483e10c6bee5d678 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, ... | {"states": [14, 7], "expectation_value": -3.503123019008292, "params": [[-0.028800000000000003, -0.059300000000000005], [0.0102, 0.0625]], "bitstrings": ["1110001", "1111000"], "total_optimization_steps": 10, "probabilities": [0.011994750007897752, 0.012270961049620556], "optimization_time": 4.0714194774627686} | 2.25 * (Z(0) @ Z(1)) + 2.25 * (Z(2) @ Z(1)) + 2.25 * (Z(2) @ Z(0)) + 2.25 * (Z(3) @ Z(1)) + 2.25 * (Z(3) @ Z(0)) + 2.25 * (Z(3) @ Z(2)) + 2.5 * (Z(5) @ Z(1)) + 2.25 * (Z(5) @ Z(0)) + 2.5 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.5 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.5 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 ... | 16 | 7 | 2 | {"smallest_eigenvalues": [-13.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -12.5, "smallest_bitstrings": ["1111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.1296) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.1296) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1296) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.1296) 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] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
input float[64] ... | {"k": 4} | {"circuits": [], "gradients": []} |
4700601e722e5f0a0c40acc2968ffc97 | kclique | adaptive_vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 4}, {"source": 2, "target": 4}]} | {"states": [9, 3], "expectation_value": -6.98539458460684, "params": null, "bitstrings": ["10110", "11100"], "total_optimization_steps": 29, "probabilities": [0.12796174980966527, 0.6649528209913563], "optimization_time": 22.05233883857727} | 1.75 * (Z(0) @ Z(1)) + 1.75 * (Z(2) @ Z(1)) + 1.75 * (Z(2) @ Z(0)) + 1.75 * (Z(3) @ Z(1)) + 2.0 * (Z(3) @ Z(0)) + 1.75 * (Z(3) @ Z(2)) + 2.0 * (Z(4) @ Z(1)) + 1.75 * (Z(4) @ Z(0)) + 2.0 * (Z(4) @ Z(2)) + 2.0 * (Z(4) @ Z(3)) + -2.75 * Z(1) + -2.75 * Z(0) + -2.75 * Z(2) + -2.5 * Z(3) + -2.25 * Z(4) | 10 | 5 | 4 | {"smallest_eigenvalues": [-7.5, -7.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["11100", "01110"]} | 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(-1.5708) q[0];
cry(-1.5708) q[4], q[2];
ry(0.8148) q[4];
cry(-1.5708) q[3], q[1];
ry(0.7247) q[3];
ry(-0.3569) q[2];
ry(-0.3098) q[1];
cry(0.3727) q[3], q[4];
cry(-0.2255) q[3], q[2];
cry(0.334) q[4], q[3];
cry(-0.227... | null | {"k": 3} | {"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(-1.5708) 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];\n", "OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[5] c;\nqubit[5]... |
c0298473ff578e743a7bebe70d7bc35e | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 6}, {"source": 2, "target": 6}, {"source": 3, "target": 5}, ... | {"states": [89, 25], "expectation_value": -2.501350094467755, "params": [0.7374, 0.050300000000000004, 0.7325, 0.0066, -0.0031000000000000003, 0.666, -0.0031000000000000003, 0.0012000000000000001, 0.9099, 0.0035, 0.9106000000000001, 0.0013000000000000002, 0.8512000000000001, 0.0001, 0.8423, 0.0028, 0.0019, 0.6731, 0.00... | 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(5) @ Z(2)) + 0.25 * (Z(6) @ Z(2)) + 0.25 * (Z(6) @ Z(5)) + -0.25 * (Z(6) @ Z(5) @ Z(2)) + 0.25 * (Z(3) @ Z(4)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(6)) + -0.25 * (Z(3) @ Z(4) @ Z(6)) ... | 7 | 7 | 1 | {"smallest_eigenvalues": [-3.75, -3.75], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.75, "smallest_bitstrings": ["1100110", "0101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.7374) q[0];
rz(0.0503) q[0];
rx(-0.0031) q[1];
rz(0.666) q[1];
rx(0.9099) q[2];
rz(0.0035) q[2];
rx(0.8512) q[3];
rz(0.0001) q[3];
rx(0.0019) q[4];
rz(0.6731) q[4];
rx(-0.0019) q[5];
rz(0.6755) q[5];
rx(0.9098) q[6];
rz(0.0012) q[6];
crz(-0.6523) 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": []} |
-6852603646515495560 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[10, 6], [8, 5], [1, 2], [11, 6], [2, 4], [11, 5], [3, 7], [1, 9], [8, 11], [8, 7], [4, 5], [0, 10]]} | {"states": [599, 3496], "expectation_value": -0.019759898411312746, "params": [[0.0258], [-0.032]], "bitstrings": ["110110101000", "001001010111"], "total_optimization_steps": 10, "probabilities": [0.00025228661424394705, 0.00025228661424394705], "optimization_time": 23.10458254814148} | 0.5 * (Z(10) @ Z(6)) + 0.5 * (Z(8) @ Z(5)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(11) @ Z(6)) + 0.5 * (Z(11) @ Z(5)) + 0.5 * (Z(11) @ Z(8)) + 0.5 * (Z(4) @ Z(5)) + 0.5 * (Z(4) @ Z(2)) + 0.5 * (Z(7) @ Z(8)) + 0.5 * (Z(3) @ Z(7)) + 0.5 * (Z(9) @ Z(1)) + 0.5 * (Z(0) @ Z(10)) + 0.0 * Z(6) + 0.0 * Z(10) + 0.0 * Z(5) + 0.0 * Z(8) ... | 1 | 12 | 1 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["001001010111", "010110001011", "101001110100", "110110101000", "101101101100", "010010010011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[6], q[10];
rz(0.0258) q[10];
cx q[6], q[10];
cx q[5], q[8];
rz(0.0258) q[8];
cx q[5], q[8];
cx q[2], q[1];
rz(0.0258) q[1];
cx q[2], q[1];
cx q[6], q[11];
... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
bit[12] c;
qubit[12] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
h q[9];
h q[10];
h q[11];
cx q[6], q[10];
rz(x0) q[10];
cx q[6], q[10];
cx q[5], q[8];
rz(x0) q[8];
cx q[5], q[8];
cx q[2], q[... | null | {"circuits": [], "gradients": []} |
42fc1cab65130010b16c5206f9faaa99 | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "ta... | {"states": [5, 7], "expectation_value": -11.805170332703213, "params": [[[0.49450000000000005, -0.1698], [0.4204, 0.1841], [0.3899, -0.1968], [0.4929, 0.16970000000000002], [0.49200000000000005, 0.1706], [0.8024, 0.0018000000000000002], [0.7871, 0.0022], [0.7945, 0.0023]], [[0.49860000000000004, 0.0028], [0.4197, 0.003... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 1 | 8 | 2 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["11111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.4945) q[0];
rz(-0.1698) q[0];
rx(0.4204) q[1];
rz(0.1841) q[1];
rx(0.3899) q[2];
rz(-0.1968) q[2];
rx(0.4929) q[3];
rz(0.1697) q[3];
rx(0.492) q[4];
rz(0.1706) q[4];
rx(0.8024) q[5];
rz(0.0018) q[5];
rx(0.7871) q[6];
rz(0.0022) q[6];
rx(0.7945) 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[... | {"k": 5} | {"circuits": [], "gradients": []} |
6d259388045d20d69ae4242ad2e143d7 | min_cut | qaoa | {"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": [1, 9], "expectation_value": -0.7144612209010861, "params": [[0.0648, 0.062, 0.0707], [-0.07010000000000001, -0.058300000000000005, -0.062]], "bitstrings": ["11110", "10110"], "total_optimization_steps": 10, "probabilities": [0.04970437204935627, 0.055848808557121585], "optimization_time": 2.522399425506592} | -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];
cx q[2], q[0];
rz(-0.0648) q[0];
cx q[2], q[0];
cx q[2], q[3];
rz(-0.0972) q[3];
cx q[2], q[3];
cx q[0], q[3];
rz(-0.0648) q[3];
cx q[0], q[3];
cx q[2], q[1];
rz(-0.0324) q[1];
cx q[2], q[1];
cx q[3], q[1];
rz(-0.0324) 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": []} |
75ab085e7b274158b53b8f08402b62c6 | 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": 4}, {"source": 1, "target": 5}, {"source": 1, "target": 7}, {"source": 2, "target": 4}, {"source": 2, "target": 5}, {"source": 2, "ta... | {"states": [242, 226], "expectation_value": -4.161675802452345, "params": [[[0.5005000000000001, 0.001], [0.4989, 0.0024000000000000002], [0.49970000000000003, 0.002], [0.343, 0.0217], [0.00030000000000000003, 0.23720000000000002], [0.0005, -0.268], [0.44480000000000003, -0.006], [0.0002, -0.26580000000000004]], [[0.50... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(1) @ Z(5)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(5)) + 0.5 * (Z(6) @ Z(3)) + -1.5 * Z(4) + 0.0 * Z(0) + -1.5 * Z(5) + -0.5 * Z(1) + -1.5 * Z(7) + -1.0 * Z(... | 1 | 8 | 4 | {"smallest_eigenvalues": [-5.5, -5.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -4.5, "smallest_bitstrings": ["00011101", "00001111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.5005) q[0];
rz(0.001) q[0];
rx(0.4989) q[1];
rz(0.0024) q[1];
rx(0.4997) q[2];
rz(0.002) q[2];
rx(0.343) q[3];
rz(0.0217) q[3];
rx(0.0003) q[4];
rz(0.2372) q[4];
rx(0.0005) q[5];
rz(-0.268) q[5];
rx(0.4448) q[6];
rz(-0.006) q[6];
rx(0.0002) q[7];
rz(-0.26... | OPENQASM 3.0;
include "stdgates.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": []} |
9aafe0580999b1b0b4b8e8eda0d2bc18 | edge_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 2}, {"source": ... | {"states": [184, 185], "expectation_value": -2.69200022595309, "params": [1.4684000000000001, 0.444, 0.049100000000000005, 0.8878, 1.3993, -0.0, 1.584, -0.003, 1.5987, -0.41600000000000004, 0.4179, -0.6923, 0.0034000000000000002, -0.20950000000000002, 0.8280000000000001, 0.015000000000000001, 1.395, 0.00520000000000000... | 0.25 * (Z(0) @ Z(1)) + 0.25 * (Z(0) @ Z(2)) + 0.25 * (Z(1) @ Z(2)) + -0.25 * (Z(0) @ Z(1) @ Z(2)) + 0.125 * (Z(0) @ Z(4)) + 0.125 * (Z(0) @ Z(5)) + 0.125 * (Z(0) @ Z(3)) + 0.125 * (Z(4) @ Z(5)) + 0.125 * (Z(3) @ Z(4)) + 0.125 * (Z(3) @ Z(5)) + -0.125 * (Z(0) @ Z(4) @ Z(5)) + -0.125 * (Z(0) @ Z(3) @ Z(4)) + -0.125 * (Z(... | 18 | 8 | 2 | {"smallest_eigenvalues": [-3.375, -3.375, -3.375], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -2.375, "smallest_bitstrings": ["10000011", "00101010", "01000110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(1.4684) q[0];
rz(0.444) q[0];
rx(0.0491) q[1];
rz(0.8878) q[1];
rx(1.3993) q[2];
rz(0) q[2];
rx(1.584) q[3];
rz(-0.003) q[3];
rx(1.5987) q[4];
rz(-0.416) q[4];
rx(0.4179) q[5];
rz(-0.6923) q[5];
rx(0.0034) q[6];
rz(-0.2095) q[6];
rx(0.828) q[7];
rz(0.015) 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": []} |
bd53e0f03f0d19af6cb39bf47cf396d2 | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"capacity": 3, "source": 0, "target": 5}, {"capacity": 5, "source": 0, "target": 6}, {"capacity": 5, "source": 1, "target": 4}, {"capacity": 2, "source": 1, "target": 6... | {"states": [8, 61], "expectation_value": -6.899122358165835, "params": [0.0043, -1.4025, -0.2607, 0.00030000000000000003, -0.17900000000000002, 2.7118, 0.0358, 0.0046, 0.6219, 3.0925000000000002, 0.7713, 0.0012000000000000001, 0.8417, -0.08700000000000001, 1.7485000000000002, 0.004, -0.2511, 0.6388, 0.0557, 0.0049, -0.... | -0.75 * (Z(0) @ Z(5)) + 1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(1) @ Z(6)) + -1.5 * (Z(4) @ Z(1)) + -0.75 * (Z(2) @ Z(5)) + -1.25 * (Z(2) @ Z(6)) + -0.75 * (Z(2) @ Z(4)) + -1.0 * (Z(3) @ Z(5)) + -2.5 * Z(5) + -0.25 * Z(0) + -0.75 * Z(6) + 1.5 * Z(1) + -0.25 * Z(4) + 1.25 * Z(2) + 1.0 * Z(3) | 6 | 7 | 1 | {"smallest_eigenvalues": [-9.5, -9.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -6.5, "smallest_bitstrings": ["1001010", "1000010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
rx(0.0043) q[0];
rz(-1.4025) q[0];
rx(-0.179) q[1];
rz(2.7118) q[1];
rx(0.6219) q[2];
rz(3.0925) q[2];
rx(0.8417) q[3];
rz(-0.087) q[3];
rx(-0.2511) q[4];
rz(0.6388) q[4];
rx(-0.002) q[5];
rz(2.329) q[5];
rx(1.5301) q[6];
rz(2.9351) q[6];
crx(0.0021) q[6], q[5... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 6} | {"circuits": [], "gradients": []} |
9c3f86affe867d86b1a933450f0ead98 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 6}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": ... | {"states": [32, 1], "expectation_value": -18.796457195105354, "params": [[0.0269, -0.0264, -0.033800000000000004, -0.0143], [-0.054, 0.020800000000000003, 0.0621, 0.0673]], "bitstrings": ["011111", "111110"], "total_optimization_steps": 10, "probabilities": [0.029737282921290766, 0.032543880821060786], "optimization_ti... | 2.75 * (Z(0) @ Z(1)) + 2.75 * (Z(2) @ Z(1)) + 2.75 * (Z(2) @ Z(0)) + 2.75 * (Z(3) @ Z(1)) + 2.75 * (Z(3) @ Z(0)) + 2.75 * (Z(3) @ Z(2)) + 2.75 * (Z(4) @ Z(1)) + 2.75 * (Z(4) @ Z(0)) + 2.75 * (Z(4) @ Z(2)) + 2.75 * (Z(4) @ Z(3)) + 3.0 * (Z(5) @ Z(1)) + 3.0 * (Z(5) @ Z(0)) + 2.75 * (Z(5) @ Z(2)) + 3.0 * (Z(5) @ Z(3)) + 3... | 14 | 6 | 4 | {"smallest_eigenvalues": [-40.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -37.25, "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(0.1479) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.1479) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.1479) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(0.1479) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.1479... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"k": 5} | {"circuits": [], "gradients": []} |
e0dccd63ccb6f94570f2b46361c692e0 | max_flow | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 2, "source": 0, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "source": 1, "target": 5}, {"capacity": 1, "s... | {"states": [3957, 6005], "expectation_value": -14.268782650454447, "params": [0.0071, -0.0018000000000000002, 0.0038, 0.0015, 0.7929, 0.7912, 0.9441, 0.8799, 1.3933, 1.3959000000000001, 1.3932, 1.3928, 1.3905, 1.3877000000000002, 0.007, -0.0027, 1.3975, 1.3933, 1.3924, 1.3909, 1.4011, 1.3923, 0.7792, 0.8512000000000001... | -0.5 * (Z(13) @ Z(2)) + 1.0 * (Z(3) @ Z(2)) + -0.5 * (Z(3) @ Z(13)) + 0.5 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(13)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(5) @ Z(2)) + -0.5 * (Z(5) @ Z(13)) + 0.5 * (Z(5) @ Z(3)) + 1.0 * (Z(5) @ Z(4)) + 0.5 * (Z(6) @ Z(4)) + 0.5 * (Z(6) @ Z(5)) + -0.5 * (Z(0) @ Z(6)) + -0.5 * (Z(1) @ Z(6)) + 0.... | 14 | 15 | 1 | {"smallest_eigenvalues": [-15.749999999999924], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.749999999999842, "smallest_bitstrings": ["110100010001010"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[15] c;
qubit[15] q;
ry(0.0071) q[0];
ry(0.0038) q[1];
ry(0.7929) q[2];
ry(0.9441) q[3];
ry(1.3933) q[4];
ry(1.3932) q[5];
ry(1.3905) q[6];
ry(0.007) q[7];
ry(1.3975) q[8];
ry(1.3924) q[9];
ry(1.4011) q[10];
ry(0.7792) q[11];
ry(1.3885) q[12];
ry(0.0024) q[13];
ry(1.3982) q[14];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
58fa04385078dcdc0b5f9361c481400a | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 2, "target"... | {"states": [4, 5], "expectation_value": -2.451899411808751, "params": [0.1874, -0.29760000000000003, 0.1819, 0.0077, 0.1888, 0.467, 0.17930000000000001, 0.006200000000000001, 0.7889, 0.10540000000000001, 0.7899, 0.0068000000000000005, -0.010400000000000001, 0.466, -0.0074, 0.0006000000000000001, 0.7908000000000001, 0.0... | 0.5 * (Z(0) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(3)) + 0.5 * (Z(1) @ Z(2)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(4)) + -1.0 * Z(2) + -1.0 * Z(0) + -1.5 * Z(3) + -1.0 * Z(4) + -1.0 * Z(1) | 5 | 5 | 1 | {"smallest_eigenvalues": [-3.5, -3.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -2.5, "smallest_bitstrings": ["11010", "00111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(0.1874) q[0];
rz(-0.2976) q[0];
rx(0.1888) q[1];
rz(0.467) q[1];
rx(0.7889) q[2];
rz(0.1054) q[2];
rx(-0.0104) q[3];
rz(0.466) q[3];
rx(0.7908) q[4];
rz(0.054) q[4];
crz(0.2259) q[4], q[3];
crz(-0.3197) q[4], q[2];
crz(0.3982) q[4], q[1];
crz(-0.4129) 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[... | null | {"circuits": [], "gradients": []} |
532d7b9840f324faf47e567c6a0fdd6f | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 4}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"sour... | {"states": [0, 7], "expectation_value": -1.9254354767081663, "params": [[0.06770000000000001], [-0.0716]], "bitstrings": ["11111111", "11111000"], "total_optimization_steps": 10, "probabilities": [0.006355757021091113, 0.006701011043042514], "optimization_time": 1.7335247993469238} | -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) ... | 5 | 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;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(-0.3385) q[0];
cx q[3], q[0];
cx q[3], q[4];
rz(0.1354) q[4];
cx q[3], q[4];
cx q[0], q[4];
rz(-0.4062) q[4];
cx q[0], q[4];
cx q[3], q[1];
rz(-0.4062) 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;
input float[64] x5;
input float[64] x6;
input float[64] x7;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[3], q[0];
rz(x0) q[0];
cx q[3],... | {"node": 4} | {"circuits": [], "gradients": []} |
69144809aea48cb46eae9c3950f24a15 | graph_isomorphism | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 1, "target": 3}]} | {"states": [24187, 56955], "expectation_value": -17.201701359820454, "params": [0.5961000000000001, 0.1884, 1.0642, 0.1422, 0.48090000000000005, 0.29760000000000003, 1.071, 0.0092, 1.0651000000000002, -0.0067, 0.9895, 0.0077, 1.0794000000000001, -0.13340000000000002, 0.47940000000000005, -0.31070000000000003, 0.4795000... | 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(3)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(7)) + 0.25 * (Z(4) @ Z(1)) + 0.25 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(5)) + 0.25 * (Z(... | 18 | 16 | 3 | {"smallest_eigenvalues": [-20.49999999999982], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.49999999999978, "smallest_bitstrings": ["0010000110000100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[16] c;
qubit[16] q;
rx(0.5961) q[0];
rz(0.1884) q[0];
rx(1.0642) q[1];
rz(0.1422) q[1];
rx(0.4809) q[2];
rz(0.2976) q[2];
rx(1.071) q[3];
rz(0.0092) q[3];
rx(1.0651) q[4];
rz(-0.0067) q[4];
rx(0.9895) q[5];
rz(0.0077) q[5];
rx(1.0794) q[6];
rz(-0.1334) q[6];
rx(0.4794) 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... | {"autoisomorphic_graph": {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 3}, {"id": 1}, {"id": 0}, {"id": 2}], "edges": [{"source": 3, "target": 0}, {"source": 1, "target": 0}, {"source": 1, "target": 2}]}} | {"circuits": [], "gradients": []} |
5144181ac27497fdfa9bdb5b8b799630 | graph_coloring | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 2}, {"id": 1}], "edges": [{"source": 0, "target": 2}, {"source": 2, "target": 1}]} | {"states": [371, 427], "expectation_value": -0.7310900054397016, "params": [[0.0811, 0.0731], [-0.08660000000000001, -0.0673]], "bitstrings": ["010001100", "001010100"], "total_optimization_steps": 10, "probabilities": [0.0029767506639259344, 0.0029767506639259344], "optimization_time": 6.474992513656616} | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(2) @ Z(0)) + 0.25 * (Z(6) @ Z(0)) + 0.25 * (Z(7) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.25 * (Z(8) @ Z(2)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + 0.25 * (Z(3) @ Z(6)) + 0.25 * (Z(4) @ Z(7)) + 0.5 * (Z(4) @ Z(3)) + 0.25 * (Z(5) @ Z(8)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5, -4.5], "number_of_smallest_eigenvalues": 12, "first_excited_energy": -3.5, "smallest_bitstrings": ["001010100", "001100010", "001001010", "001001100", "010001100", "010010100", "010010001", "010100001", "100100001", "100001010",... | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
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(0.0811) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0811) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.0811) q[2];
cx q[0], q[2];
cx q[0], q[6];
rz(0.0406) 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[... | {"number_of_colors": 3} | {"circuits": [], "gradients": []} |
766c35a5ddcb7d0c8cbb8c2fcffb16b1 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 0, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [881, 849], "expectation_value": -55.21543880070028, "params": [0.6562, 0.17700000000000002, 1.0024, 0.044500000000000005, 1.0014, 0.011600000000000001, 0.7747, 0.1258, 1.0038, 0.0337, 0.7875000000000001, 0.1928, 1.0077, 0.018000000000000002, 0.0013000000000000002, 0.6646000000000001, -0.0028, -0.48900000000... | 8.0 * (Z(0) @ Z(2)) + 8.0 * (Z(3) @ Z(2)) + 8.0 * (Z(1) @ Z(2)) + 8.0 * (Z(1) @ Z(3)) + 8.0 * (Z(4) @ Z(2)) + 8.0 * (Z(4) @ Z(0)) + 8.0 * (Z(5) @ Z(4)) + 8.0 * (Z(7) @ Z(6)) + 8.0 * (Z(8) @ Z(6)) + 8.0 * (Z(10) @ Z(5)) + 8.0 * (Z(9) @ Z(10)) + 22.5 * Z(2) + 1.0 * Z(0) + 2.5 * Z(3) + 10.0 * Z(1) + 16.0 * Z(4) + 3.5 * Z(... | 16 | 11 | 2 | {"smallest_eigenvalues": [-133.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -118.0, "smallest_bitstrings": ["10010101110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.6562) q[0];
rz(0.177) q[0];
rx(1.0024) q[1];
rz(0.0445) q[1];
rx(1.0014) q[2];
rz(0.0116) q[2];
rx(0.7747) q[3];
rz(0.1258) q[3];
rx(1.0038) q[4];
rz(0.0337) q[4];
rx(0.7875) q[5];
rz(0.1928) q[5];
rx(1.0077) q[6];
rz(0.018) q[6];
rx(0.0013) q[7];
rz(0.... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4, 5], \"right_nodes\": [6, 7, 8, 9, 10, 11, 12, 13, 14]}"} | {"circuits": [], "gradients": []} |
944d1e10c1efdd3cf89f3eb5fd93918c | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5}]} | {"states": [0, 3], "expectation_value": -3.535171769735267, "params": [[[0.0021000000000000003, 0.0016], [0.0024000000000000002, 0.0023], [0.002, 0.0018000000000000002], [0.0024000000000000002, 0.0024000000000000002], [0.002, 1.606]]], "bitstrings": ["11111", "11100"], "total_optimization_steps": 160, "probabilities": ... | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.0 * (Z(3) @ Z(4)) + -1.5 * Z(1) + 1.0 * Z(0) + -1.0 * Z(2) + 0.5 * Z(4) + 0.5 * Z(3) | 15 | 5 | 1 | {"smallest_eigenvalues": [-4.5, -4.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.5, "smallest_bitstrings": ["11100", "00100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
ry(0.0021) q[0];
ry(0.0024) q[1];
ry(0.002) q[2];
ry(0.0024) q[3];
ry(0.002) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q[2];
cx q[0], q[1];
ry(0.0016) q[0];
ry(0.0023) q[1];
ry(0.0018) q[2];
ry(0.0024) q[3];
ry(1.606) q[4];
cx q[4], q[3];
cx ... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64] x5;
input float[64] x6;
bit[5] c;
qubit[5] q;
ry(x0) q[0];
ry(x1) q[1];
ry(x2) q[2];
ry(x1) q[3];
ry(x2) q[4];
cx q[4], q[0];
cx q[3], q[4];
cx q[2], q[3];
cx q[1], q... | {"node": 2} | {"circuits": [], "gradients": []} |
3d599008e6d247101eb02503201a8a05 | 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": 1, "source": 0, "target": 4}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 2, "source": 1, "target": 3}, {"capacity": 2, "so... | {"states": [44, 76], "expectation_value": -8.195912360417871, "params": [-0.0005, 0.5277000000000001, -0.0011, 0.5232, -0.004, 0.4877, -0.0044, 0.4737, -0.0028, 0.4309, 0.6726000000000001, 0.3649, 0.6824, 0.4212, 0.0123, 0.5769000000000001, 0.6859000000000001, 0.0388, 0.7017, 0.1885, -0.0044, 0.453, 0.1744, 0.341, -0.0... | 0.5 * (Z(5) @ Z(9)) + 2.0 * (Z(10) @ Z(9)) + 1.0 * (Z(10) @ Z(5)) + 0.5 * (Z(6) @ Z(9)) + 1.0 * (Z(6) @ Z(5)) + 1.0 * (Z(6) @ Z(10)) + -0.5 * (Z(2) @ Z(9)) + -1.0 * (Z(2) @ Z(5)) + -1.0 * (Z(2) @ Z(10)) + -1.0 * (Z(2) @ Z(6)) + -1.0 * (Z(3) @ Z(9)) + -0.5 * (Z(3) @ Z(5)) + -2.0 * (Z(3) @ Z(10)) + -0.5 * (Z(3) @ Z(6)) +... | 18 | 12 | 4 | {"smallest_eigenvalues": [-9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0, -9.0], "number_of_smallest_eigenvalues": 37, "first_excited_energy": -8.5, "sm... | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0005) q[0];
rz(0.5277) q[0];
rx(-0.0011) q[1];
rz(0.5232) q[1];
rx(-0.004) q[2];
rz(0.4877) q[2];
rx(-0.0044) q[3];
rz(0.4737) q[3];
rx(-0.0028) q[4];
rz(0.4309) q[4];
rx(0.6726) q[5];
rz(0.3649) q[5];
rx(0.6824) q[6];
rz(0.4212) q[6];
rx(0.0123) 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": 4} | {"circuits": [], "gradients": []} |
f6cdf6caae833c575489bb2b7a623058 | matching | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}], "edges": [{"weight": 9, "source": 0, "target": 1}, {"weight": 16, "source": 0, "target": 4}, {"weight": 15, "source": 0, "target": 3}, {"weight": 18, "source": 1, "target": 2}, {... | {"states": [186, 118], "expectation_value": -9.357619660228162, "params": [[0.0427, 0.0057], [-0.041600000000000005, -0.0246]], "bitstrings": ["01000101", "10001001"], "total_optimization_steps": 10, "probabilities": [0.006855895333943625, 0.007579834957366403], "optimization_time": 3.0713255405426025} | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(4) @ Z(1)) + 4.0 * (Z(4) @ Z(3)) + 4.0 * (Z(5) @ Z(3)) + 4.0 * (Z(5) @ Z(4)) + 4.0 * (Z(6) @ Z(1)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(6) @ Z(4)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(6)) + 15.5 * Z(1) + 8.5 * Z(0) + 16.0 * ... | 1 | 8 | 2 | {"smallest_eigenvalues": [-63.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -58.5, "smallest_bitstrings": ["10001001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(0.3416) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.3416) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(0.3416) q[2];
cx q[0], q[2];
cx q[0], q[3];
rz(0.3416) q[3];
cx q[0], q[3];
cx q[1],... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
645c877d51dbe410a2500a8efdc21844 | 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": 6, "source": 0, "target": 1}, {"weight": 14, "source": 0, "target": 4}, {"weight": 12, "source": 1, "target": 7}, {"weight":... | {"states": [504, 472], "expectation_value": -75.45235998055672, "params": [0.2112, 0.28900000000000003, 0.6898000000000001, 0.039400000000000004, 0.6414000000000001, -0.0045000000000000005, 0.6981, -0.003, 0.4151, 0.248, 0.6891, 0.049600000000000005, 0.6996, -0.0281, 0.2792, -0.29450000000000004, 0.09680000000000001, 0... | 5.5 * (Z(0) @ Z(1)) + 5.5 * (Z(2) @ Z(0)) + 5.5 * (Z(3) @ Z(0)) + 5.5 * (Z(3) @ Z(2)) + 5.5 * (Z(5) @ Z(1)) + 5.5 * (Z(4) @ Z(5)) + 5.5 * (Z(6) @ Z(4)) + 5.5 * (Z(7) @ Z(1)) + 5.5 * (Z(7) @ Z(5)) + 5.5 * (Z(8) @ Z(2)) + 5.5 * (Z(8) @ Z(6)) + 5.5 * (Z(9) @ Z(3)) + 12.5 * Z(1) + 8.5 * Z(0) + 11.5 * Z(2) + 12.0 * Z(3) + 1... | 4 | 10 | 4 | {"smallest_eigenvalues": [-88.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -76.0, "smallest_bitstrings": ["1000100111"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.2112) q[0];
rz(0.289) q[0];
rx(0.6898) q[1];
rz(0.0394) q[1];
rx(0.6414) q[2];
rz(-0.0045) q[2];
rx(0.6981) q[3];
rz(-0.003) q[3];
rx(0.4151) q[4];
rz(0.248) q[4];
rx(0.6891) q[5];
rz(0.0496) q[5];
rx(0.6996) q[6];
rz(-0.0281) q[6];
rx(0.2792) 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": "perfect", "extra": "{\"n\": 10}"} | {"circuits": [], "gradients": []} |
43f6f12625919298bc93daa468843deb | 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": 2}, {"source": 1, "target": 2}, {"source": 3, "target": 4}, {"source": 3, "... | {"states": [0, 1919], "expectation_value": -13.12839887942707, "params": [-0.0337, 1.0756000000000001, -0.6679, 0.002, -0.605, 0.6376000000000001, 0.6715, 0.0039000000000000003, -0.8739, 0.6952, 0.7676000000000001, 0.002, -0.9209, 1.2176, -0.49050000000000005, 0.0049, 0.0019, -1.244, -0.0017000000000000001, 0.008, 0.95... | -1.5 * (Z(0) @ Z(4)) + -1.5 * (Z(5) @ Z(6)) + -1.5 * (Z(7) @ Z(6)) + -1.5 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(10)) + -2.0 * (Z(11) @ Z(10)) + -1.5 * (Z(11) @ Z(8)) + -2.0 * (Z(9) @ Z(10)) + 0.5 * (Z(9) @ Z(8)) + 0.5 * (Z(9) @ Z(11)) + -1.5 * (Z(1) @ Z(2)) + 0.5 * (Z(3) @ Z(2)) + -1.5 * (Z(3) @ Z(1)) + -1.0 * Z(4) + 1.0 ... | 6 | 12 | 1 | {"smallest_eigenvalues": [-20.0, -20.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -19.0, "smallest_bitstrings": ["100010000000", "000000000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
rx(-0.0337) q[0];
rz(1.0756) q[0];
rx(-0.605) q[1];
rz(0.6376) q[1];
rx(-0.8739) q[2];
rz(0.6952) q[2];
rx(-0.9209) q[3];
rz(1.2176) q[3];
rx(0.0019) q[4];
rz(-1.244) q[4];
rx(0.9533) q[5];
rz(1.325) q[5];
rx(0.9496) q[6];
rz(1.5915) q[6];
rx(0.9452) 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": 1} | {"circuits": [], "gradients": []} |
91fd701868951eab612ba86420778b2e | vertex_cover | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 3}, {"source": 0, "target": 5}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": ... | {"states": [42, 11], "expectation_value": -0.8977510688979298, "params": [[0.0694, 0.0736, 0.0711], [-0.064, -0.0637, -0.055400000000000005]], "bitstrings": ["010101", "110100"], "total_optimization_steps": 10, "probabilities": [0.024010811188465517, 0.024010811188465545], "optimization_time": 4.501471757888794} | 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];
cx q[1], q[0];
rz(0.0694) q[0];
cx q[1], q[0];
cx q[1], q[3];
rz(0.0694) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(0.0694) q[3];
cx q[0], q[3];
cx q[1], q[5];
rz(0.0694) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(0.0694... | OPENQASM 3.0;
include "stdgates.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] ... | null | {"circuits": [], "gradients": []} |
112160283520561585 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[2, 4], [1, 3], [0, 1], [2, 5], [1, 4], [4, 7], [1, 5], [3, 4], [1, 6]]} | {"states": [158, 142], "expectation_value": -3.1555730941399727, "params": null, "bitstrings": ["01100001", "01110001"], "total_optimization_steps": 67, "probabilities": [0.30849662657025556, 0.5186412448374778], "optimization_time": 100.93244791030884} | 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(4)) + 0.5 * (Z(6) @ Z(1)) + 0.0 * Z(4) + 0.0 * Z(2) + 0.0 * Z(1) + 0.0 * Z(3) + 0.0 * Z(0) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-3.5, -3.5, -3.5, -3.5], "number_of_smallest_eigenvalues": 4, "first_excited_energy": -2.5, "smallest_bitstrings": ["01110001", "10011110", "10001110", "01100001"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[6], q[1];
cry(-1.0342) q[5], q[2];
ry(1.0293) q[5];
cry(1.4052) q[5], q[4];
cry(-0.9035) q[4], q[2];
cry(-0.7688) q[5], q[1];
cry(-1.4141) q[4], q[7];
ry(1.2466) q[6];
cry(1.3682) q... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[6], q[1];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
-4597414873171686273 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11], "hyperedges": [[2, 11, 4], [1, 11, 7], [8, 9, 11], [9, 2], [8, 0, 2], [1, 11, 9], [5, 7], [0, 1, 6], [8, 1, 6], [0, 5, 6], [8, 0, 6], [9, 5], [0, 10], [0, 4], [11, 3, 6], [4, 6], [0, 11], [6, 7], [10, 5], [8, 1, 0], [0, 3, 7], [8, 3], [2, 11, 7], [8, 11, 7], [0, 1, 2], ... | {"states": [3578, 1530], "expectation_value": -4.221853497137907, "params": [[[1.6031, 0.0054, 0.0095, 0.0046], [0.41600000000000004, 0.0038, 1.4914, 0.0013000000000000002], [-0.0022, 0.0027, 0.0073, 0.0056], [0.652, 0.0026000000000000003, 1.2453, 0.0013000000000000002], [1.6031, 0.0002, 0.0051, 0.0001], [0.37670000000... | 0.5 * (Z(4) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(3)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.3333333333333333 * (Z(1) @ Z(3)) + 0.3333333333333333 * (Z(1) @ Z(4)) + 0.5 * (Z(9) @ Z(3)) + 0.16666666666666666 * (Z(9) @ Z(4)) + 0.16666666666666666 * (Z(9) @ Z(1)) + 0.3333333333333333 * (Z(10) @ Z(3)) + 0.1666666666... | 12 | 12 | 1 | {"smallest_eigenvalues": [-8.000000000000004], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -8.0, "smallest_bitstrings": ["101000000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[12] c;
qubit[12] q;
ry(1.6031) q[0];
rz(0.0054) q[0];
ry(0.416) q[1];
rz(0.0038) q[1];
ry(-0.0022) q[2];
rz(0.0027) q[2];
ry(0.652) q[3];
rz(0.0026) q[3];
ry(1.6031) q[4];
rz(0.0002) q[4];
ry(0.3767) q[5];
rz(-0.0124) q[5];
ry(1.573) q[6];
rz(0.0057) q[6];
ry(0.3734) q[7];
rz(0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
edc3bac605c0e8fb4f027513dd92e8fb | kclique | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 5}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 5}, {"source": 2, "target"... | {"states": [0, 1], "expectation_value": -20.07180914503205, "params": [[[-0.004200000000000001, -0.38870000000000005], [0.0001, -0.3428], [-0.0037, -0.45420000000000005], [-0.0036000000000000003, 0.40190000000000003], [0.8102, -0.002]], [[-0.0026000000000000003, 0.0037], [0.0027, 0.0014], [-0.0032, 0.0047], [-0.0023, 0... | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + -8.5 * Z(1) + -8.25 * Z(0) + -8.5 * Z(2) + -8.25 * Z(3) + -8.0 * Z(4) | 1 | 5 | 2 | {"smallest_eigenvalues": [-21.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -20.5, "smallest_bitstrings": ["11110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[5] c;
qubit[5] q;
rx(-0.0042) q[0];
rz(-0.3887) q[0];
rx(0.0001) q[1];
rz(-0.3428) q[1];
rx(-0.0037) q[2];
rz(-0.4542) q[2];
rx(-0.0036) q[3];
rz(0.4019) q[3];
rx(0.8102) q[4];
rz(-0.002) q[4];
rx(-0.0026) q[0];
rz(0.0037) q[0];
rx(0.0027) q[1];
rz(0.0014) q[1];
rx(-0.0032) 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[... | {"k": 4} | {"circuits": [], "gradients": []} |
f38c42dfc6453bed5781ab1b40aa6ac4 | 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": 3, "source": 0, "target": 2}, {"capacity": 2, "source": 0, "target": 4}, {"capacity": 3, "source": 0, "target":... | {"states": [256, 320], "expectation_value": -11.527484673090592, "params": [-0.0018000000000000002, -0.36210000000000003, -0.0008, -0.36560000000000004, -0.0031000000000000003, -0.3662, -0.0001, -0.35800000000000004, 0.5015000000000001, 0.061000000000000006, 0.4974, 0.0028, -0.0013000000000000002, -0.32830000000000004,... | -0.75 * (Z(0) @ Z(3)) + -0.5 * (Z(5) @ Z(0)) + -0.75 * (Z(9) @ Z(0)) + -0.25 * (Z(9) @ Z(5)) + -0.25 * (Z(1) @ Z(3)) + -0.25 * (Z(6) @ Z(5)) + -0.5 * (Z(6) @ Z(9)) + -0.5 * (Z(6) @ Z(1)) + -1.25 * (Z(7) @ Z(5)) + -0.75 * (Z(7) @ Z(1)) + -0.5 * (Z(8) @ Z(3)) + -0.5 * (Z(8) @ Z(9)) + -0.25 * (Z(8) @ Z(1)) + -0.75 * (Z(8)... | 5 | 11 | 2 | {"smallest_eigenvalues": [-13.5, -13.5], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -12.5, "smallest_bitstrings": ["11010111111", "11010111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(-0.0018) q[0];
rz(-0.3621) q[0];
rx(-0.0031) q[1];
rz(-0.3662) q[1];
rx(0.5015) q[2];
rz(0.061) q[2];
rx(-0.0013) q[3];
rz(-0.3283) q[3];
rx(0.4915) q[4];
rz(0.0527) q[4];
rx(0.0019) q[5];
rz(-0.2623) q[5];
rx(0.0002) q[6];
rz(-0.3046) q[6];
rx(0.0004) q[... | 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] 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 floa... | {"source": 0, "sink": 10} | {"circuits": [], "gradients": []} |
70b6be38b1b67e5f49037d70330e01f2 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 0, "target": 3}, {"source": 1, "target": 2}, {"source": 1, "target": 3},... | {"states": [0, 2023], "expectation_value": -17.01127597517454, "params": [0.010100000000000001, 1.3397000000000001, -0.043000000000000003, 0.7121000000000001, -0.0478, 1.8005, 0.0453, 0.9862000000000001, 0.5541, 1.6176000000000001, -0.2768, 2.2014, -0.7308, 0.9315, 0.0979, 0.2847, -0.6970000000000001, 0.8625, -0.019700... | -2.0 * (Z(0) @ Z(4)) + -2.0 * (Z(5) @ Z(4)) + -2.0 * (Z(5) @ Z(0)) + -2.0 * (Z(1) @ Z(4)) + 1.0 * (Z(1) @ Z(0)) + -2.0 * (Z(1) @ Z(5)) + 0.5 * (Z(6) @ Z(7)) + -1.5 * (Z(8) @ Z(9)) + -2.0 * (Z(3) @ Z(9)) + -2.0 * (Z(3) @ Z(8)) + 0.5 * (Z(10) @ Z(9)) + 0.5 * (Z(10) @ Z(8)) + -2.5 * (Z(10) @ Z(3)) + 0.5 * (Z(2) @ Z(3)) + ... | 6 | 11 | 2 | {"smallest_eigenvalues": [-23.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -22.0, "smallest_bitstrings": ["00000011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0101) q[0];
rz(1.3397) q[0];
rx(-0.0478) q[1];
rz(1.8005) q[1];
rx(0.5541) q[2];
rz(1.6176) q[2];
rx(-0.7308) q[3];
rz(0.9315) q[3];
rx(-0.697) q[4];
rz(0.8625) q[4];
rx(-0.6874) q[5];
rz(0.7266) q[5];
rx(-0.9161) q[6];
rz(0.6828) q[6];
rx(-0.0043) 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... | {"node": 4} | {"circuits": [], "gradients": []} |
473775bc8d8b4cca680d00f7b64c1aa1 | kclique | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"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}, {"source": ... | {"states": [36, 3], "expectation_value": -1.3053283939022473, "params": [[-0.0154, 0.027800000000000002, -0.0307], [0.027, -0.029400000000000003, 0.0088]], "bitstrings": ["011011", "111100"], "total_optimization_steps": 10, "probabilities": [0.01671090454563794, 0.01677266579050065], "optimization_time": 4.516858100891... | 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)) + 2.25 * (Z(4) @ Z(1)) + 2.5 * (Z(4) @ Z(0)) + 2.25 * (Z(4) @ Z(2)) + 2.5 * (Z(4) @ Z(3)) + 2.25 * (Z(5) @ Z(1)) + 2.5 * (Z(5) @ Z(0)) + 2.25 * (Z(5) @ Z(2)) + 2.5 * (Z(5) @ Z(3)) + 2.... | 14 | 6 | 3 | {"smallest_eigenvalues": [-16.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -15.0, "smallest_bitstrings": ["111100"]} | 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(-0.0693) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.0693) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.0693) q[2];
cx q[0], q[2];
cx q[1], q[3];
rz(-0.0693) q[3];
cx q[1], q[3];
cx q[0], q[3];
rz(-0... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x2;
input float[64] x3;
input float[64] x4;
input float[64... | {"k": 4} | {"circuits": [], "gradients": []} |
-4840633091927207144 | hypermaxcut | vqe | {"nodes": [0, 1, 2, 3, 4, 5], "hyperedges": [[1, 5], [0, 1, 2, 3, 4], [0, 2, 5]]} | {"states": [62, 60], "expectation_value": -0.719563380450774, "params": [1.1951, 0.0008, 1.1918, 0.0027, 1.1775, -0.001, 1.1633, -0.0008, 1.2033, 0.0073, 1.2015, 0.0037, 1.2059, 0.3156, 1.202, 0.33890000000000003, 0.7666000000000001, -0.36560000000000004, 0.7636000000000001, 0.007200000000000001, 0.385, 0.3964000000000... | 0.5 * (Z(1) @ Z(5)) + 0.16666666666666666 * (Z(0) @ Z(5)) + 0.05 * (Z(0) @ Z(1)) + 0.16666666666666666 * (Z(2) @ Z(5)) + 0.05 * (Z(2) @ Z(1)) + 0.21666666666666667 * (Z(2) @ Z(0)) + 0.05 * (Z(3) @ Z(1)) + 0.05 * (Z(3) @ Z(0)) + 0.05 * (Z(3) @ Z(2)) + 0.05 * (Z(4) @ Z(1)) + 0.05 * (Z(4) @ Z(0)) + 0.05 * (Z(4) @ Z(2)) + ... | 8 | 6 | 1 | {"smallest_eigenvalues": [-1.0333333333333334, -1.0333333333333334, -1.0333333333333334], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -1.0333333333333332, "smallest_bitstrings": ["000011", "000111", "000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[6] c;
qubit[6] q;
rx(1.1951) q[0];
rz(0.0008) q[0];
rx(1.1775) q[1];
rz(-0.001) q[1];
rx(1.2033) q[2];
rz(0.0073) q[2];
rx(1.2059) q[3];
rz(0.3156) q[3];
rx(0.7666) q[4];
rz(-0.3656) q[4];
rx(0.385) q[5];
rz(0.3964) q[5];
crx(0.3287) q[1], q[0];
crx(0.6519) q[3], q[2];
crx(1.13... | OPENQASM 3.0;
include "stdgates.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": []} |
eb1b2cac0566087578078445a8bfe431 | connected_components | qaoa | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 1}, {"source": 0, "target": 2}, {"source": 3, "target": 5}, {"source": 3, "target": 6}, {"source": 3, "target": 7}, {"sour... | {"states": [0, 224], "expectation_value": -0.9929134842190855, "params": [[0.0558], [-0.045700000000000005]], "bitstrings": ["11111111", "00011111"], "total_optimization_steps": 10, "probabilities": [0.005184384958869235, 0.005336258618553377], "optimization_time": 2.4881598949432373} | -1.5 * (Z(0) @ Z(1)) + 0.5 * (Z(2) @ Z(1)) + -1.5 * (Z(2) @ Z(0)) + -2.5 * (Z(3) @ Z(5)) + -2.0 * (Z(6) @ Z(5)) + -2.5 * (Z(6) @ Z(3)) + 1.0 * (Z(7) @ Z(5)) + -3.0 * (Z(7) @ Z(3)) + 1.0 * (Z(7) @ Z(6)) + 0.5 * (Z(4) @ Z(5)) + 1.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(6)) + -2.0 * (Z(4) @ Z(7)) + 0.5 * Z(1) + 0.5 * Z(0) + 0... | 1 | 8 | 1 | {"smallest_eigenvalues": [-24.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -21.5, "smallest_bitstrings": ["00011111"]} | 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(-0.1674) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(0.0558) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.1674) q[2];
cx q[0], q[2];
cx q[5], q[3];
rz(-0.279) q[3];
cx q[5], q[3];
cx 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;
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(x0) q[0];
cx q[1], q[0];
cx q[1], q[2]... | {"node": 6} | {"circuits": [], "gradients": []} |
708957b51219d907e14d956182c46216 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"source": 0, "target": 4}, {"source": 0, "target": 6}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"source": 1, "target": 5}, {"sour... | {"states": [265, 329], "expectation_value": -3.5222842379996315, "params": [0.4047, 0.4033, 0.0097, 0.0024000000000000002, 0.402, 0.3985, 0.12890000000000001, 0.12050000000000001, 0.1082, 0.1033, 0.4011, 0.4067, -0.00030000000000000003, -0.006200000000000001, 0.1328, 0.1343, 0.39780000000000004, 0.4006, 0.4041, 0.406, ... | 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(5) @ Z(6)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(7) @ Z(6)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(2) @ Z(7)) + 0.5 * (Z(8) @ Z(4)) + 0.5 * (Z(8) @ Z(3)) + -1.0 * Z(4) + -0.5 * Z(0) + -1.5 * Z(6) + -1.5 * Z(1) + ... | 13 | 9 | 2 | {"smallest_eigenvalues": [-5.5, -5.5, -5.5, -5.5, -5.5, -5.5, -5.5], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -4.5, "smallest_bitstrings": ["000111110", "010010111", "001111100", "110000111", "010110110", "110001011", "011110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.4047) q[0];
ry(0.0097) q[1];
ry(0.402) q[2];
ry(0.1289) q[3];
ry(0.1082) q[4];
ry(0.4011) q[5];
ry(-0.0003) q[6];
ry(0.1328) q[7];
ry(0.3978) q[8];
crz(0.0143) q[8], q[0];
crz(0.1825) q[7], q[8];
crz(-0.1808) q[6], q[7];
crz(0.0066) q[5], q[6];
crz(-0.168... | OPENQASM 3.0;
include "stdgates.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": []} |
f7e92575e65685640cf7c9d8993714e1 | connected_components | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}, {"id": 10}, {"id": 11}], "edges": [{"source": 0, "target": 2}, {"source": 1, "target": 2}, {"source": 2, "target": 3}, {"source": 4, "target": 5},... | {"states": [0, 1791], "expectation_value": -10.731177696425927, "params": [0.0123, 1.0409000000000002, 0.12290000000000001, 0.0039000000000000003, 0.4278, 2.3253, 0.6531, 0.0048000000000000004, 0.6932, 2.33, 0.5116, 0.0009000000000000001, -0.7333000000000001, 1.2624, 0.0884, 0.0039000000000000003, 0.7572, 1.0447, -0.44... | -2.0 * (Z(0) @ Z(3)) + -2.0 * (Z(1) @ Z(3)) + 0.5 * (Z(1) @ Z(0)) + -2.0 * (Z(4) @ Z(3)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(4) @ Z(1)) + -2.0 * (Z(5) @ Z(6)) + 1.0 * (Z(7) @ Z(6)) + -2.0 * (Z(7) @ Z(5)) + -2.0 * (Z(8) @ Z(6)) + 1.0 * (Z(8) @ Z(5)) + -2.0 * (Z(8) @ Z(7)) + -1.0 * (Z(9) @ Z(10)) + 0.5 * Z(3) + 0.5 * Z(0) +... | 6 | 11 | 1 | {"smallest_eigenvalues": [-17.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -16.0, "smallest_bitstrings": ["00100000000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[11] c;
qubit[11] q;
rx(0.0123) q[0];
rz(1.0409) q[0];
rx(0.4278) q[1];
rz(2.3253) q[1];
rx(0.6932) q[2];
rz(2.33) q[2];
rx(-0.7333) q[3];
rz(1.2624) q[3];
rx(0.7572) q[4];
rz(1.0447) q[4];
rx(-0.7417) q[5];
rz(0.9494) q[5];
rx(-0.7318) q[6];
rz(0.9187) q[6];
rx(-0.7286) 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": 11} | {"circuits": [], "gradients": []} |
1b919a907d6265aa38892f39fb234570 | vertex_cover | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}, {"id": 9}], "edges": [{"source": 0, "target": 3}, {"source": 0, "target": 9}, {"source": 1, "target": 3}, {"source": 1, "target": 6}, {"source": 2, "target":... | {"states": [946, 818], "expectation_value": -3.9512824071935255, "params": [0.9097000000000001, -0.0034000000000000002, 0.9086000000000001, 0.0059, 0.9075000000000001, 0.0033, 0.9059, 0.0081, 0.7129000000000001, -0.060200000000000004, 0.7074, 0.0051, -0.0041, -0.4637, -0.0038, 0.0023, 0.8647, 0.0033, 0.8591000000000001... | 0.5 * (Z(0) @ Z(3)) + 0.5 * (Z(9) @ Z(0)) + 0.5 * (Z(1) @ Z(3)) + 0.5 * (Z(6) @ Z(9)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(5) @ Z(3)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(7) @ Z(9)) + 0.5 * (Z(8) @ Z(6)) + 0.5 * (Z(8) @ Z(7)) + -1.5 * Z(3) + -0.5 * Z(0) + -1.0 * Z(9) + -0.5 * Z(1) + ... | 7 | 10 | 1 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0, -6.0, -6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 7, "first_excited_energy": -5.0, "smallest_bitstrings": ["0101100011", "0001101101", "0001101011", "1011001100", "0011001011", "1001101100", "0011001101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
rx(0.9097) q[0];
rz(-0.0034) q[0];
rx(0.9075) q[1];
rz(0.0033) q[1];
rx(0.7129) q[2];
rz(-0.0602) q[2];
rx(-0.0041) q[3];
rz(-0.4637) q[3];
rx(0.8647) q[4];
rz(0.0033) q[4];
rx(0.9019) q[5];
rz(0.0037) q[5];
rx(0.0015) q[6];
rz(0.4733) q[6];
rx(0.3782) q[7];... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | null | {"circuits": [], "gradients": []} |
-5793055535118245962 | hypermaxcut | adaptive_vqe | {"nodes": [0, 1, 2, 3, 4, 5, 6, 7], "hyperedges": [[1, 4], [0, 3], [0, 2], [0, 4], [2, 5], [4, 5], [3, 7], [3, 6]]} | {"states": [227, 199], "expectation_value": -3.3659103606948664, "params": null, "bitstrings": ["00011100", "00111000"], "total_optimization_steps": 56, "probabilities": [0.1024972354995457, 0.7220683765600936], "optimization_time": 69.39877724647522} | 0.5 * (Z(1) @ Z(4)) + 0.5 * (Z(0) @ Z(4)) + 0.5 * (Z(3) @ Z(0)) + 0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(5) @ Z(4)) + 0.5 * (Z(5) @ Z(2)) + 0.5 * (Z(7) @ Z(3)) + 0.5 * (Z(6) @ Z(3)) + 0.0 * Z(4) + 0.0 * Z(1) + 0.0 * Z(0) + 0.0 * Z(3) + 0.0 * Z(2) + 0.0 * Z(5) + 0.0 * Z(7) + 0.0 * Z(6) | 1 | 8 | 1 | {"smallest_eigenvalues": [-4.0, -4.0], "number_of_smallest_eigenvalues": 2, "first_excited_energy": -3.0, "smallest_bitstrings": ["11000111", "00111000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cry(-1.0342) q[5], q[4];
cry(-1.0342) q[7], q[3];
ry(1.3762) q[0];
cry(-1.441) q[5], q[2];
ry(0.78) q[5];
cry(-0.7965) q[0], q[4];
ry(1.3624) q[1];
cry(-0.5122) q[0], q[2];
cry(0.5675) q[0], q[5];... | null | null | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[8] c;\nqubit[8] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\ncry(-1.0342) q[5], q[4];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = me... |
9994d9c0864e8ab88d6d9169e088b46e | 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": 12, "source": 0, "target": 5}, {"weight": 11, "source": 0, "target": 4}, {"weight": 20, "source": 1, "target": 6}, {... | {"states": [126, 122], "expectation_value": -30.729592483723504, "params": [[-0.0483, 0.005, 0.0018000000000000002, 0.009600000000000001], [0.0766, 0.0616, 0.0644, 0.057100000000000005]], "bitstrings": ["10000001", "10000101"], "total_optimization_steps": 10, "probabilities": [0.019111813608584206, 0.02278372466490799]... | 4.0 * (Z(0) @ Z(1)) + 4.0 * (Z(2) @ Z(1)) + 4.0 * (Z(2) @ Z(0)) + 4.0 * (Z(4) @ Z(0)) + 4.0 * (Z(3) @ Z(1)) + 4.0 * (Z(3) @ Z(0)) + 4.0 * (Z(3) @ Z(4)) + 4.0 * (Z(6) @ Z(2)) + 4.0 * (Z(5) @ Z(6)) + 4.0 * (Z(7) @ Z(1)) + 4.0 * (Z(7) @ Z(2)) + 4.0 * (Z(7) @ Z(3)) + 4.0 * (Z(7) @ Z(6)) + 13.5 * Z(1) + 11.5 * Z(0) + 14.0 *... | 1 | 8 | 4 | {"smallest_eigenvalues": [-65.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -59.5, "smallest_bitstrings": ["10000101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
cx q[1], q[0];
rz(-0.3864) q[0];
cx q[1], q[0];
cx q[1], q[2];
rz(-0.3864) q[2];
cx q[1], q[2];
cx q[0], q[2];
rz(-0.3864) q[2];
cx q[0], q[2];
cx q[0], q[4];
rz(-0.3864) q[4];
cx q[0], q[4];
cx q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"matching": "near_perfect", "extra": "{\"n\": 7}"} | {"circuits": [], "gradients": []} |
7227055949868351043 | hypermaxcut | qaoa | {"nodes": [0, 1, 2, 3, 4, 5, 6], "hyperedges": [[4, 5, 6], [0, 1, 2, 4], [1, 3]]} | {"states": [93, 94], "expectation_value": -0.43247217744191213, "params": [[0.4675], [-0.4393]], "bitstrings": ["0100010", "0100001"], "total_optimization_steps": 50, "probabilities": [0.017463059557013823, 0.01746305955701383], "optimization_time": 2.0098087787628174} | 0.16666666666666666 * (Z(4) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(5)) + 0.16666666666666666 * (Z(6) @ Z(4)) + 0.08333333333333333 * (Z(0) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(4)) + 0.08333333333333333 * (Z(1) @ Z(0)) + 0.08333333333333333 * (Z(2) @ Z(4)) + 0.08333333333333333 * (Z(2) @ Z(0)) + 0.08333333333333... | 1 | 7 | 1 | {"smallest_eigenvalues": [-1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335, -1.0833333333333335], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -1.0833333333333333, "smallest_bitstrings": ["1001001", "1001010", "0100010", "0100001", "0011001", "00011... | 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[4];
rz(0.1558) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(0.1558) q[6];
cx q[5], q[6];
cx q[4], q[6];
rz(0.1558) q[6];
cx q[4], q[6];
cx q[4], q[0];
rz(0.0779) q[0];
cx q[4], q[0];
cx q[4], q[1];
r... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x2;
input float[64] x3;
input float[64] x4;
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[5], q[4];
rz(x0) q[4];
cx q[5], q[4];
cx q[5], q[6];
rz(x0)... | null | {"circuits": [], "gradients": []} |
6ad9b1b7eb38d4959ef149d40ea74653 | 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": 7}, {"source": 0, "target": 6}, {"source": 1, "target": 2}, {"source": 1, "target": 3}, {"source": 1, "target": 4}, {"sour... | {"states": [378, 376], "expectation_value": -4.171167710734685, "params": [[[0.0884, 0.3674, 0.0043, 0.0076], [0.0098, -0.393, 0.25680000000000003, 0.2], [1.0015, -0.0022, 1.0002, 0.025900000000000003], [0.0584, 0.1361, 0.5914, -0.0002], [-0.8878, -0.0835, 0.9152, -0.44260000000000005], [-0.497, 0.1464, 0.9955, -0.0253... | 0.5 * (Z(0) @ Z(7)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(1) @ Z(6)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(3) @ Z(1)) + 0.5 * (Z(4) @ Z(6)) + 0.5 * (Z(4) @ Z(1)) + 0.5 * (Z(8) @ Z(1)) + 0.5 * (Z(5) @ Z(8)) + 0.0 * Z(7) + -0.5 * Z(0) + -1.0 * Z(6) + -2.0 * Z(1) + 0.0 * Z(2) + 0.0 * Z(3) + -0.5 * Z(4) + -0.5 * Z(8) + 0.0 * Z(5) | 11 | 9 | 2 | {"smallest_eigenvalues": [-5.0, -5.0, -5.0, -5.0, -5.0, -5.0], "number_of_smallest_eigenvalues": 6, "first_excited_energy": -4.0, "smallest_bitstrings": ["010001110", "010000111", "110001100", "110000101", "110010001", "110011000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
ry(0.0884) q[0];
rz(0.3674) q[0];
ry(0.0098) q[1];
rz(-0.393) q[1];
ry(1.0015) q[2];
rz(-0.0022) q[2];
ry(0.0584) q[3];
rz(0.1361) q[3];
ry(-0.8878) q[4];
rz(-0.0835) q[4];
ry(-0.497) q[5];
rz(0.1464) q[5];
ry(-0.0872) q[6];
rz(0.7766) q[6];
ry(0.7904) 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": []} |
0e6752514ca7a4196fda67a6021f7098 | matching | vqe | {"directed": false, "multigraph": false, "graph": {}, "nodes": [{"bipartite": 0, "id": 0}, {"bipartite": 0, "id": 1}, {"bipartite": 0, "id": 2}, {"bipartite": 0, "id": 3}, {"bipartite": 0, "id": 4}, {"bipartite": 1, "id": 5}, {"bipartite": 1, "id": 6}, {"bipartite": 1, "id": 7}, {"bipartite": 1, "id": 8}, {"bipartite":... | {"states": [490, 426], "expectation_value": -74.04036099672271, "params": [0.012, 0.0137, 0.49870000000000003, 0.49520000000000003, 0.4415, 0.33190000000000003, 0.20020000000000002, 0.2001, 0.4988, 0.4968, 0.068, 0.0494, 0.49350000000000005, 0.49960000000000004, 0.198, 0.17070000000000002, 0.4975, 0.5, 0.0064, 0.0027, ... | 7.0 * (Z(1) @ Z(0)) + 7.0 * (Z(3) @ Z(4)) + 7.0 * (Z(2) @ Z(4)) + 7.0 * (Z(2) @ Z(3)) + 7.0 * (Z(5) @ Z(1)) + 7.0 * (Z(7) @ Z(4)) + 7.0 * (Z(6) @ Z(3)) + 7.0 * (Z(6) @ Z(7)) + 7.0 * (Z(9) @ Z(8)) + -3.0 * Z(0) + 7.5 * Z(1) + 14.5 * Z(4) + 7.5 * Z(3) + 6.0 * Z(2) + -2.0 * Z(5) + 4.0 * Z(7) + 8.5 * Z(6) + 1.5 * Z(8) + -6... | 14 | 10 | 3 | {"smallest_eigenvalues": [-86.5], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -75.5, "smallest_bitstrings": ["1001010101"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[10] c;
qubit[10] q;
ry(0.012) q[0];
ry(0.4987) q[1];
ry(0.4415) q[2];
ry(0.2002) q[3];
ry(0.4988) q[4];
ry(0.068) q[5];
ry(0.4935) q[6];
ry(0.198) q[7];
ry(0.4975) q[8];
ry(0.0064) q[9];
crx(0.066) q[9], q[0];
crx(-0.0037) q[8], q[9];
crx(0.3878) q[7], q[8];
crx(0.1283) q[6], q... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x100;
input float[64] x101;
input float[64] x102;
input float[64] x103;
input float[64] x104;
input float[64] x105;
input float[64] x106;
input float[64] x107;
input float[64] x108;
input float[64] x109;
i... | {"matching": "maximum_bipartite", "extra": "{\"left_nodes\": [0, 1, 2, 3, 4], \"right_nodes\": [5, 6, 7, 8, 9, 10, 11, 12]}"} | {"circuits": [], "gradients": []} |
11e3db404ceab325d959c6faf4c54e2e | 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": 4}, {"source": 0, "target": 5}, {"source": 0, "target": 6}, {"source": 1, "target": 5}, {"source": 2, "target": 3}, ... | {"states": [11, 7], "expectation_value": -1.6499218710346475, "params": [[-0.07640000000000001, -0.0762, -0.0771, -0.0857], [0.0757, 0.07490000000000001, 0.0729, 0.07780000000000001]], "bitstrings": ["1110100", "1111000"], "total_optimization_steps": 10, "probabilities": [0.020604922415866776, 0.021058286113286397], "o... | 0.5 * (Z(0) @ Z(1)) + 0.5 * (Z(4) @ Z(0)) + 0.5 * (Z(5) @ Z(1)) + 0.5 * (Z(5) @ Z(0)) + 0.5 * (Z(6) @ Z(0)) + 0.5 * (Z(2) @ Z(4)) + 0.5 * (Z(2) @ Z(5)) + 0.5 * (Z(3) @ Z(4)) + 0.5 * (Z(3) @ Z(2)) + -0.5 * Z(1) + -1.5 * Z(0) + -1.0 * Z(4) + -1.0 * Z(5) + 0.0 * Z(6) + -1.0 * Z(2) + -0.5 * Z(3) | 1 | 7 | 4 | {"smallest_eigenvalues": [-4.0, -4.0, -4.0, -4.0, -4.0], "number_of_smallest_eigenvalues": 5, "first_excited_energy": -3.0, "smallest_bitstrings": ["1011010", "1010110", "1111000", "1001110", "1110100"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[7] c;
qubit[7] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
cx q[1], q[0];
rz(-0.0764) q[0];
cx q[1], q[0];
cx q[0], q[4];
rz(-0.0764) q[4];
cx q[0], q[4];
cx q[1], q[5];
rz(-0.0764) q[5];
cx q[1], q[5];
cx q[0], q[5];
rz(-0.0764) q[5];
cx q[0], q[5];
cx q[0], q[6... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] 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": []} |
df6b0a55435c2e6f48611bfeaa2a8959 | 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": 1}, {"capacity": 1, "source": 1, "target": 2}, {"capacity": 1, "source": 1, "target": 4}, {"capacity": 2, "source": 2, "target": 4}, {"capacity": 1, "so... | {"states": [63, 55], "expectation_value": -5.372715217948668, "params": [0.00030000000000000003, 0.621, -0.002, 0.5795, 0.5876, 0.0129, 0.4318, 0.091, 0.38520000000000004, 0.1521, 0.7964, 0.014400000000000001, 0.7842, 0.0419, 0.7822, 0.0055000000000000005, 0.0035, 0.7442000000000001, -0.0032, 0.6352, 0.595, 0.0132, 0.4... | 0.5 * (Z(0) @ Z(5)) + -0.5 * (Z(1) @ Z(5)) + -0.5 * (Z(1) @ Z(0)) + -0.5 * (Z(2) @ Z(5)) + -0.5 * (Z(2) @ Z(0)) + 0.5 * (Z(2) @ Z(1)) + 0.5 * (Z(6) @ Z(5)) + 0.5 * (Z(6) @ Z(1)) + 0.5 * (Z(7) @ Z(5)) + 0.5 * (Z(7) @ Z(1)) + 1.0 * (Z(7) @ Z(6)) + -0.5 * (Z(3) @ Z(1)) + -0.5 * (Z(3) @ Z(6)) + -0.5 * (Z(3) @ Z(7)) + -0.5 ... | 18 | 8 | 4 | {"smallest_eigenvalues": [-6.0, -6.0, -6.0], "number_of_smallest_eigenvalues": 3, "first_excited_energy": -5.0, "smallest_bitstrings": ["10100000", "11010000", "11001000"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[8] c;
qubit[8] q;
rx(0.0003) q[0];
rz(0.621) q[0];
rx(-0.002) q[1];
rz(0.5795) q[1];
rx(0.5876) q[2];
rz(0.0129) q[2];
rx(0.4318) q[3];
rz(0.091) q[3];
rx(0.3852) q[4];
rz(0.1521) q[4];
rx(0.7964) q[5];
rz(0.0144) q[5];
rx(0.7842) q[6];
rz(0.0419) q[6];
rx(0.7822) q[7];
rz(0.00... | OPENQASM 3.0;
include "stdgates.inc";
input float[64] x0;
input float[64] x1;
input float[64] x10;
input float[64] x11;
input float[64] x12;
input float[64] x13;
input float[64] x14;
input float[64] x15;
input float[64] x16;
input float[64] x17;
input float[64] x18;
input float[64] x19;
input float[64] x2;
input float[... | {"source": 0, "sink": 4} | {"circuits": [], "gradients": []} |
d255f243d36c9a74978598fd3f1ae2aa | min_cut | vqe | {"directed": true, "multigraph": false, "graph": {}, "nodes": [{"id": 0}, {"id": 1}, {"id": 2}, {"id": 3}, {"id": 4}, {"id": 5}, {"id": 6}, {"id": 7}, {"id": 8}], "edges": [{"capacity": 5, "source": 0, "target": 2}, {"capacity": 4, "source": 0, "target": 6}, {"capacity": 2, "source": 0, "target": 7}, {"capacity": 3, "s... | {"states": [0, 1], "expectation_value": -16.46999002453996, "params": [0.0037, 0.4907, 0.0027, 0.608, 0.0024000000000000002, 0.5825, 0.0022, 0.48050000000000004, 0.0034000000000000002, 0.3569, -0.0028, 0.6127, 0.0028, 0.5792, 0.0028, 0.5891000000000001, 0.8089000000000001, 0.0038, 0.0038, -0.3105, 0.0027, -0.2869, 0.00... | -1.25 * (Z(0) @ Z(2)) + -1.25 * (Z(6) @ Z(2)) + -1.0 * (Z(6) @ Z(0)) + -0.5 * (Z(7) @ Z(0)) + -1.25 * (Z(7) @ Z(6)) + -0.25 * (Z(1) @ Z(2)) + -1.25 * (Z(4) @ Z(2)) + -0.5 * (Z(4) @ Z(6)) + -0.75 * (Z(4) @ Z(1)) + -0.5 * (Z(3) @ Z(2)) + -0.25 * (Z(3) @ Z(6)) + -1.0 * (Z(3) @ Z(4)) + -0.5 * (Z(8) @ Z(2)) + 3.0 * (Z(8) @ ... | 4 | 9 | 2 | {"smallest_eigenvalues": [-21.25], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -19.25, "smallest_bitstrings": ["111111110"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
rx(0.0037) q[0];
rz(0.4907) q[0];
rx(0.0027) q[1];
rz(0.608) q[1];
rx(0.0024) q[2];
rz(0.5825) q[2];
rx(0.0022) q[3];
rz(0.4805) q[3];
rx(0.0034) q[4];
rz(0.3569) q[4];
rx(-0.0028) q[5];
rz(0.6127) q[5];
rx(0.0028) q[6];
rz(0.5792) 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[... | {"source": 0, "sink": 8} | {"circuits": [], "gradients": []} |
7213bcdac492d012065ef417f31c81b5 | 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": 5, "source": 0, "target": 1}, {"weight": 12, "source": 0, "target": 7}, {"weight": 11, "source": 0, "target": 3}, {"weight": 8, "source": 2, "targ... | {"states": [250, 220], "expectation_value": -46.06596461517641, "params": null, "bitstrings": ["100000101", "100100011"], "total_optimization_steps": 100, "probabilities": [0.09568347035152093, 0.25239527285272545], "optimization_time": 177.5529408454895} | 4.5 * (Z(0) @ Z(2)) + 4.5 * (Z(1) @ Z(2)) + 4.5 * (Z(1) @ Z(0)) + 4.5 * (Z(3) @ Z(1)) + 4.5 * (Z(4) @ Z(3)) + 4.5 * (Z(5) @ Z(1)) + 4.5 * (Z(5) @ Z(3)) + 4.5 * (Z(6) @ Z(1)) + 4.5 * (Z(6) @ Z(3)) + 4.5 * (Z(6) @ Z(4)) + 4.5 * (Z(6) @ Z(5)) + 4.5 * (Z(7) @ Z(5)) + 4.5 * (Z(8) @ Z(2)) + 4.5 * (Z(8) @ Z(4)) + 4.5 * (Z(8) ... | 1 | 9 | 2 | {"smallest_eigenvalues": [-81.0], "number_of_smallest_eigenvalues": 1, "first_excited_energy": -71.0, "smallest_bitstrings": ["100100011"]} | OPENQASM 3.0;
include "stdgates.inc";
bit[9] c;
qubit[9] q;
h q[0];
h q[1];
h q[2];
h q[3];
h q[4];
h q[5];
h q[6];
h q[7];
h q[8];
ry(3.0513) q[6];
ry(0.0779) q[1];
ry(5.229) q[5];
ry(20.2391) q[3];
cry(12.6506) q[3], q[6];
cry(21.6605) q[3], q[1];
cry(-13.8669) q[1], q[6];
ry(1.2595) q[2];
cry(10.0669) q[2], q[6];
cr... | null | {"matching": "perfect", "extra": "{\"n\": 8}"} | {"circuits": ["OPENQASM 3.0;\ninclude \"stdgates.inc\";\nbit[9] c;\nqubit[9] q;\nh q[0];\nh q[1];\nh q[2];\nh q[3];\nh q[4];\nh q[5];\nh q[6];\nh q[7];\nh q[8];\nry(3.0513) q[6];\nc[0] = measure q[0];\nc[1] = measure q[1];\nc[2] = measure q[2];\nc[3] = measure q[3];\nc[4] = measure q[4];\nc[5] = measure q[5];\nc[6] = m... |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.